\. PROCEEDINGS OF THK A.MERICAN ACADEMY OF ARTS AND SCIENCES. PROCEEDINGS OF THE AMERICAN ACADEMY OF ARTS AND SCIENCES. NEW SERIES. Vol. XVllI. WHOLE SERIES. Vol. XXVL from may, 1890, to may, 1891. SELECTED FROM THE RECORDS. BOSTON: UNIVERSITY PRESS: JOHN WILSON AND SON. 1891. *3o) ^ ^^ ^ 15 L S CONTENTS. Page I. The Prehistoric and Kiowa County Pallasites. By Oliver Whipple Huntington 1 II. Preliminary Notes on the Species of Doassansia, Cornu. By William Albert Setchell 13 III. On some Theorems which connect together certain Line and Surface Integrals. By B. O. Peirce 20 IV. The Quantitative Determination of Arsenic, hy the Berzelius- Marsh Process, especially as applied to the Analysis of Wall Papers and Fabrics. By Charles R. Sanger ... 24 V. On the Structure and Development of Choreocolax Polysiphonice, Reinsch. By Herbert Maule Richards 46 VI. On the Matrical Equation <^i2 = £2 0. By Henry Taber . 64 VII. On the Products obtained by the Action of Nitric Acid upon Bromtrinitrophenylmalonic Ester. By C. Loring Jackson and W. B. Bentley 67 VIII. Note on Trihrommononitrobenzol. By C. Loring Jackson AND W. B. Bentley 98 IX. 0)1 a Kephir-like Yeast found in the United States. By Charles L. Mix 102 X. Dampening of Electrical Oscillations on Iron Wires. By John Trowbridge 115 XT. Contributions to American Botany. By Sereno Watson 124 vi CONTENTS. Page XIT. Descriptions of New Plants, chiefly Gamopetake, collected in Mexico by C. G. Pringle in 1889 and 1890. By B. L. Robinson « i64 XIIT. Concerning the Life-History of Saccorhiza dermatodea. By William Albert Setchell 177 XIV. On some simple Cases of Electric Flow in Flat Circular Plates. By B. O. Peirce 218 XV. A Revision of the Atomic Weight of Copper. Fourth Paper. By Theodore William Richards 240 XVI. The Action of Acetoacetic Ether on Quinones : Synthesis of Benzofurfuran Derivatives. By M. Ikuta 295 XVII. Note on the Variation of Molecular Pressure. By Carl Barus 313 Proceedings 327 Memoirs: — Henry Jacob Bigelow 339 Charles Otis Boutelle 351 Alfred Hostiier . . 354 George Bancroft 355 Jaliu.s Erasmus Hilgard 370 Christian Heinrich Friedi'ich Peters 373 Charles John Maxiraowicz 374 Karl Wilhelm von Naes^eli 370 Eduard Schiinfeld 381 List of the Fellows and Foheigv Honorary INIembers . . 384 Index 391 Plate I. Fig. 1. — Prehistoric Pallasite before Cltting. [Closely natural size.] Fig. 2. — Kiowa County Pallasite in Harvard Cabinet. [Reduced to one fifth in linear dimension,] PROCEEDINGS OF THE AMERICAN ACADEMY OF ARTS AND SCIENCES. VOL. XXVI. PAPERS READ BEFORE THE ACADEMY. I. THE PREHISTORIC AND KIOWA COUNTY PALLASITES. By Oliver Whipple Huntington, Ph. D. Presented April 8, 1891. In the Harvard Collection of Meteorites there is a small specimen of a pallas iron which is very highly prized as having the oldest authentic record. It is the main portion of a specimen which was found by Prof. F. W. Putnam in 1883 on the altar of Mound No. 4 of the Turner Group, in the Little Miami valley, Ohio. Therefore it is entered in the Harvard Catalogue as " Prehistoric." Ever since the acquisition of this Prehistoric specimen, specialists have been interested in trying to identify the main mass from which the smaller individual must have come. Figure 1, Plate I., shows the specimen of nearly its natural size as it came from the mound. When the meteorite was first placed in the Harvard collection, the author of this paper made a careful study of the character and arrange- ment of the various constituents of the mass, thinking it possible that it might be identified with some of the pallas irons from the desert of Atacama, South America, which it appeared to resemble, thus indicat- ing that the old builders of the mounds had visited that part of the world at some period in the remote past, and had brought away the VOL. XXVI. (N. 8. XVIII.) 1 2 PROCEEDINGS OF THE AMERICAN ACADEMY meteorite as a sacred object sent from Heaven. As is well known, meteorites have been worshipped in very early times, and, since this identical specimen was found on an altar, it must have been highly prized, if not an object of adoration. The result of the examination, however, showed that the Prehistoric iron differed in some of its most essential characters from all the South American specimens. It did, on the contrary, resemble most strikingly the famous Siberian meteorite from Medvedeva, Krasnojarsk, which has given the name of its finder, Pallas, to that class of meteorites in which the iron forms a continuous network enclosing grains of transparent green or yellow olivine. Not- withstanding the close resemblance of the Prehistoric and Pallas irons, as the localities were so widely separated, it seemed improbable that they could have come from one and the same original mass. In 1880 a meteorite was found in Carroll County, Kentucky, and, since it contained iron and olivine, it was at once described as the prob- able origin of the Prehistoric mass, since no other olivine meteorite had up to that time been found in this country.* The diagrams, how- ever, published at that time showed that the two irons did not even belong to the same class, since the Carroll County consisted of olivine surrounding small masses of iron, while the Prehistoric was a true jjallasite, consisting of iron enclosing olivine ; and in the further de- tails of the specimens there appeared to be no resemblance whatever. This fact has since been admitted ; and more recently, since some very remafkable pallas irons were found in Kiowa County, Kansas, these have been claimed to be the original masses from which the Prehistoric came.f One of the Kiowa County specimens was obtained from Prof. F. W. Cragin of Washburn College, Iowa, for the Harvard Cabinet. On a hasty examination, the resemblance of the mass to the Prehistoric iron appeared very striking. A further study, however, brought out certain features which are quite unique and worthy of description, and at the same time led to the conclusion that the resemblance to the Prehistoric meteorite was not so remarkable as it at first ap- peared ; while, on the other hand, a further comparison of the Pre- histoi'ic with the Pallas iron again showed the two to be almost identical, as already stated. The mass from the Kiowa County find now in the Harvard col- lection weighs one hundred and twenty-six pounds. It has a more * Am. Jour. Sci., Vol XXXIII . March, 1887, p. 228. T ycience, Vol. XV. No. 384, June 13, 1890, p 359. OF ARTS AND SCIENCES. 3 or less ragged outline, as shown in Figure 2, Plate I., which is a repro- duction from a photograph, much reduced; and the striking outline of a human profile on the right-hand upper corner suggests the possibility that it might have been taken for an image of a god. Its dimensions are, length fifteen and a half inches, height twelve and a half inches, thickness ten inches. The exterior is deeply pitted, and shows signs of fusion, as if the specimen had reached the earth as a complete indi- vidual. Its internal structure consists throughout of a continuous net- work of iron, enclosing grains of more or less transparent green olivine. In certain portions, as would be expected, the olivine has become some- what altered by weathering. One spur of the mass has been sliced, and the slabs show in the unexposed portions beautiful crystals of trans- parenf green olivine. The surface exposed by sawing has an area of about ninety square inches, and exhibits some strikmg variations in its different parts. Some of the olivine appears in two distinct zones, the outer portion being so dark colored that at first sight it appears by reflected light to be black, and on the large section just mentioned this apparent dark olivine occurs most abundantly around the outer edges of the section, extending in some cases an inch or more into the interior of the mass. But it is still more noticeably distributed along a crack, which extends irregularly through the mass and divides the large cut surface into nearly equal halves. This crack is followed through- out its entire length, a distance of ten inches, by an abundant deposit of the dark olivine, the grains being separated from one another by deposits of troilite, while at a short distance from the crack on either side occurs transparent green olivine, wholly distinct from the dark variety, and here the troilite is less abundant. In the original description of the Kiowa County meteorites the peculiar appearance of the olivine is described as follows : " Many of the olivine crystals are in two distinct zones, — the inner half a bright transparent yellow, the outer a dark brown iron olivine. In reality this dark zone is an intimate mixture of the troilite and the olivine, as the analysis of Mr. Eakins and a microscopical examination of the crystals by Mr. J. S. Diller of the United States Geological Survey fully proved."* This description, however, does not notice what is perhaps the most strik- ing feature of the dark olivine, namely, that it is so strongly magnetic that lumps of considerable size will readily jump to an ordinary horse- shoe magnet. Since olivine is not attracted by the magnet, and most troilite only feebly so, and pure troilite not at all, it seems hardly pos- * Science, Vol. XV. No. 384, June 13, 1890, p. S61. 4 PROCEEDINGS OF THE AMERICAN ACADEMY sible that a simple mixture of the two should become as magnetic as magnetite. On referring to the analysis made by ^Ir. L. G. Eakins in the labo- ratory of the United States Geological Survey, it appears that the composition of the dark olivine somewhat resembled that of hyalosi- derite, — a variety of olivine which might be strongly magnetic. The question then arose as to whether the zone of dark olivine owed its magnetism to the composition of the olivine, or whether it was due to an admixture of a magnetic variety of sulphide of iron. It was very difficult to obtain pieces of the dark olivine free from veins of troilite, but with sufficient care quite large fragments could be picked out, which under the microscope showed a somewhat resinous lustre, and a color varying from black and opaque to transparent red and yellow or colorless, but with no signs of any characteristic grains of troilite. After grinding the material to powder, the darker specks could be separated by the magnet, leaving the light transparent part. The magnetic portion thus selected would gelatinize with acid, but also invariably would give the reaction for sulphur, although showing no other characteristics of troilite even when examined in a thin sec- tion under the microscope. The same material was found in the Pallas and Prehistoric specimens, thoui>h of a still darker color and giving a far stronger sulphur reaction. When it became evident that the sulphur was a constant accessory of the magnetic olivine, it precluded the possibility of the olivine being a distinct variety, like hyalosiderite. The distribution of the dark olivine mainly near the exterior of the mass and along the crack, with only occasional patches in the interior, would suggest its being an alteration product. This appeared still more probable after examining a thin section of one of the dark olivine crystals. It was seen at once that the crystals of olivine were intact except for a dark deposit along the cleavage cracks. "Where the dark portion bordered on the green, the olivine was somewhat discolored, red or yellow, but evidently it had not undergone any change from weathering. It seemed more as if the dark portion had been fused and drawn into the cracks of the olivine. Experiments were there- fore made to see what the effect would be of fusing the olivine and troilite of the Kiowa County pallasite, and it was found that, if non- magnetic troilite and crystals of transparent green or colorless olivine were heated together out of direct contact with the air, and the tem- perature raised to near the melting point of the olivine, the troilite would turn black, become strongly magnetic, and permeate all the OF ARTS AND SCIENCES. 5 cracks of the olivine, while portions of the olivine near the troilite changed to various shades of red and yellow, the darker portions being strongly magnetic. Otherwise, the olivine retained all its former char- acteristics of crystalline form and cleavage. Moreover, portions of the artificial product could be selected which would so closely resemble similar specimens from the meteorite, that, after they had been once mixed together, they could not be distinguished. This seemed to show conclusively that the dark outer zone of olivine is a mixture of troilite and olivine only in the sense above indicated. On an exammation of the slabs of this iron by etching, certain other features appear which in part connect it most closely with the Pallas and Prehistoric irons, and in part are peculiar to the Kiowa County iron alone. The olivine crystals are in the first place surrounded by a deposit of what is probably the purer iron. This border is of varying thick- ness, not generally exceeding one or two millimeters, and occasionally wholly disappearing. Parts of the border are most beautifully marked by innumerable Neumann lines, microscopically fine, and so numerous as to give it a silvery appearance and a brilliant lustre that at once strike the eye. Between this iron border and the olivine come masses of troilite, and these fill the space between the olivine crystals, and thus have the same kind of outline as the iron network, and appear as a continuation of the network. Troilite, however, also occurs in small nodules in the iron itself, and sometimes asfain as the central portion of an olivine crystal. Such a quantity and dis- tribution of the troilite appear in no other meteorite except the original Pallas. A further resemblance between these last named meteorites is brought out in the occurrence of schreiberseit. This mineral is at once distinguished by the eye from the troilite, on account of its brighter lustre, granular structure, and more silvery color. Fur- thermore, it is harder, and strongly magnetic. The schreiberseit oc- curs in close connection with the troilite, usually in patches coming between it and the iron, but frequently portions of schreiberseit project into the iron itself, sometimes in elongated masses reaching a lensfth of half an inch or more. In such cases the iron borderinff on the schreiberseit has the same characters as when in contact with the olivine crystals, as just described. The main portions of the iron show a most perfect crystallization, which is very beautifully brought out by etching. Crystal plates start out from the iron border already mentioned, and reach back through the whole extent of the interior iron. The figures thus produced are 6 PROCEEDINGS OP THE AMERICAN ACADEMY finer and sharper than those of any other specimen in the Harvard coUectiou. They consist of thin plates closely packed together, not exceeding half a millimeter in thickness, but sharply defined by their border lines of bright uickeliferous iron. These plates as seen in section exhibit beautiful Neumann lines, the same as the border iron previously described, and appear to be of a piece vpith it. A slight suggestion of a similar crystallization is given by the Pallas iron, but the specimen at tlie author's disposal is not large enough for a thorough comparison. In cutting the large Kiowa County mass, the saw passed through portions of iron of considerable area, and in etching one of these nodules the plates were brought out in their greatest perfection. The appearance of the Widmanstattian figures is best shown by Figure 3, Plate II., which is printed directly from the iron. Unfor- tunately, the i)rinting does not bring out the Neumann lines on the border iron, though they are suggested in some parts of the illustra- tion, but the ireneral character and distribution of the Widmanstattian plates is very fairly shown. One peculiarity, however, does not exist in the slab from which the plate was printed, and though it only occurs in two or three places, yet, as it has not been observed in any other meteorite, it is worthy of note in this connection. Ordinarily in the pallasites the olivine is surrounded by a layer of iron, as if the iron had been depo^^ited on the olivine as a nucleus ; but in some of the specimens of the Kiowa County the plates of iron which form the AVidmanstiittian figures actually project into the olivine crystals, as if the two had solidified simultaneously. It is common here, as in other pallasites, for little plates of iron to separate two crystals of olivine ; but in the specimen under discussion there are cases where the Widman- sttlttian plates cross the natural boundary line of the iron and project out into the olivine crystals, and intersect each other at the octahedral angle apparently wholly independent of the presence of the olivine. Occasionally, too, a little plate of iron is seen isolated from the rest, and in the very centre of a nodule of olivine. No cases were ob- served where the Widmanstattian plates actually cut through the olivine crystals so as to connect with the iron on the opposite side, but they projected into the crystals several millimeters. Finally, by far the most striking and characteristic feature of the Kiowa County pallasite is the abumlant occurrence of chromite. This mineral is easily confused with the dark olivine described in an earlier part of this paper, since the mode of occurrence is exactly the same, and on a polished surface the only difTerence is that the chromite has a more metallic lustre, and is more opaque. Chromite is widely dis- OP ARTS AND SCIENCES. 7 tributed through the meteorite intimately mixed with olivine, although in some cases large crystals of clear green olivine are to be found em- bedded in the ehromite. In several places masses of nearly pure chromite of more than an inch in diameter appear, intersected by the network of iron with its accompanying troilite and schreiberseit, the chromite largely replacing the olivine. This mixture of chromite and olivine appears as a whole perfectly black and opaque, breaking with a subconchoidal fracture, and having a brilliant submetallic lustre. It is strongly attracted by the magnet, and differs most markedly from the dark olivine before described in being perfectly opaque, and the powder is dark brown or black where in the former case it was gray. Section of Olivine Crystal showing Chromite. A perfect octahedron with an axis of about two millimeters was broken out from one of these masses, but in most cases the chromite took the form of the olivine. The cause of this will be evident by reference to the accompanying figure, which represents a microscopic section of a black perfectly opaque and strongly magnetic lump of this material, the diagram having been drawn from the microscope by means of a camera lucida. It will be seen at once that, instead of its being a homogeneous substance, it proved to be a section of a transparent crystal of olivine which had had all its cleavage cracks well filled with chromite. Under the microscope, the chromite is still perfectly opaque even in such a thin section, and has a noticeably metallic lustre, with no gradual change from dark to light, as was the case in the other variety of dark olivine. 8 PROCEEDINGS OP THE AMERICAN ACADEMY On examining the specimens of the Prehistoric and Pallas irons in the Harvard collection, no chromite was found, though of course the absence of it in those particular specimens cannot be taken as con- clusive evidence of its absence in all ; but it may be safely said that it would be impossible to select equally large specimens from the Kiowa County iron which would be free from this mineral. In comparing the three pallasites, Prehistoric, Krasnojarsk, and Kiowa County, we obtain the following results. First. All three have the dark olivine, strongly attracted by the magnet, appearing near the outside of the specimen, and frequently surrounding the clear green variety. Secondly. All have a striking border of iron surrounding the oli- vine, showing a silvery sheen from the innumerable Neumann lines. Thirdly. All show signs of Widmanstattian figures in the ground- mass of the iron. Fourthly. The Krasnojarsk and the Kiowa County both have a large quantity of troilite between the crystals of olivine, and also patches of schreiberseit between the troilite and the iron, and occa- sionally included by the iron. This same character appears, but in a much less degree, in the Prehistoric. Fifthly. The Krasnojarsk and Kiowa specimens further show a much larger proportion of iron than the Prehistoric, though closely resembling each other in that respect. Figure 4, Plate II., shows a slab of the Prehistoric, printed directly from the iron. Sixthly. The Kiowa County iron shows a very striking and far more perfect crystallization than any other pallasite heretofore de- scribed, so that if AVidmanstiittian figures can be used at all as a means of distinguisliing irons of different falls, then the Kiowa County is distinct from any meteorite thus far described. Lastly. The Kiowa County pallasite contains large quantities of chromite distributed through it, completely permeating large masses of the olivine, but no chromite is to be found in the Prehistoric iron or in the specimens of the Pallas meteorite in the Harvard collection. In the description of the Kiowa County iron already referred to, the analysis and specific gravity of the olivme of the Prehistoric are com- pared with those of the Kiowa County as a proof of the identity of the two ; but a glance at the following table will show that the analysis of the Kiowa County olivine shows a still closer resemblance to the olivine from the Pallas meteorite, and also that from Mount Etna. OP ARTS AND SCIENCES. !f SiOj ALO3 Fe^Oa FeO NiO MnO MgO u.o Total. Sp. Or. Kiowa County Etna Pallas Vesuvius . . . Mt. Somma . Prehistoric . . Atacama . . . Antuclo, Chili 40.70 41.01 40.83 40.35 40.08 40.02 36.92 40 70 tr. 0.64 tr. 0.18 0.18 10.79 1006 11.53 12.34 15.26 1406 17.21 19.60 0.02 0.20 0.14 0.29 0.48 0.10 1.86 48.02 47.27 47.74 46.70 44.22 45.60 43.90 39.70 1.04 99.85 100.22 100.39 99.39 100 24 99.78 99.89 100.00 3.376 3.334 3.334 3.336 3.330 Furthermore, since the specific gravity of olivine only varies from 3.33 to 3.56, it is not surprising that the specific gravity of the Kiowa County and Prehistoric olivines should be so nearly alike ; but it will be seen by the above table that it differs from the Prehistoric more widely than the latter differs from the other volcanic olivines. The above table could be largely extended, but enough is given to show that the olivine from the Kiowa County meteorite more closely re- sembles some modern volcanic products and the original Pallas me- teorite, than it resembles the Prehistoric. Furthermore, when the difficulty of obtaining an average sample of meteoric material for analysis is borne in mind, it will be seen how useless it is to compare the analyses as a proof of the identity of any meteorites, and particu- larly the olivine ones. But the same difficulties lie in the way of giving undue weight to the etched figures or structure of a small speci- men. For instance, the well known meteorite that fell at Esther- ville, Emmet County, Iowa, is made up largely of olivine, the iron in most specimens not forming a continuous network ; yet portions can be selected almost entirely free from iron, and others where iron forms much the larger part. Figure 5, Plate IL, is pi-inted directly from an iron nodule taken from the Estherville meteorite, and placed here for comparison with the similar mass shown in the Kiowa County slab. It will be seen at once that the etched surfaces of the two irons show utterly different Widmanstiittian figures. Yet the Estherville speci- men does not exhibit any of the peculiar characteristics which we are in the habit of associating with that iron, and the slab from which Figure 5 is printed might be mistaken by an expert for at least half a dozen typical Widmanstattian irons, while the olivine iron to which it really belongs would be one of the last to be compared with it. A similar feature appears even more strikingly on comparing the specimens found in Kiowa County. The largest of these has through- out the structure typical of the pallasites, but several of the smaller 10 PROCEEDINGS OF THE AMERICAN ACADEMY masses consisted wholly of iron exhibiting a highly developed crystal- line structure, and in one at least, which passed into the possession of Mr. Howell of Rochester, N. Y., one end of the mass was pure iron whila the rest was pallasite. We give a figure of an etched slab of this last mass. Figure 6, Plate III., which is printed directly from the iron. When first found, one was inclined to believe that the irons and the pallasites so closely associated over an area hardly exceeding sixty acres could not have come from the same fall, and this opinion seemed supported by the greater coarseness of the Widmanstiittian figures on the sections of the isolated irons ; but such association as is exhibited in Figure 6, Plate III., makes the intimate connection evident, and gives evidence in favor of the theory which regards meteorites as resulting from intensely violent volcanic outbursts on the surface of a planet so far cooled that the still melted nucleus was coated with an earthy crust, through which the surface water as it condensed percolated to the molten interior. By the resulting violent eruptions, of which we can form only a faint conception from terrestial volcanoes of the present day, this crust would be fissured on long lines of least resist- ance, and volcanic bombs thrown into space beyond the sphere con- trolled by the planet's attraction. Tiiose bombs which came from the zone of contact of the melted iron with the crust would naturally have the structure of pallasites, mixed with masses consisting wholly or chiefly of metal. The specimen from which Figure 6 is printed seems to furnish the link needed to connect the stony with the iron meteorites, and if the iron portion be compared with the iron in Figure 3, Plate II., from the same fall, it will be seen of how little value the appearance of the etched surfaces would be in identifying selected portions from the two slabs. The result of this discussion merely shows the impossibility of iden- tifying these pallasites, which at first sight appear so much alike. If the Kiowa County specimens are accepted as identical with the one from the mounds, then both must be the same as the one from Krasno- jarsk, Siberia, without further question ; but the striking occurrence of chromite in such unusual quantity in the Kiowa County mass would seem sufficient to place that by itself, while leaving the close resemblance between the Prehistoric and Krasnojarsk pallasites as yet unexplained. The question naturally arises as to the possibility of the mound builders having actually brought the Prehistoric specimen from Siberia as a sacred object. This is scarcely probable. It is well known from the writings of various authors that the inter-tribal traffic of the OF ARTS AND SCIENCES. 11 American Indians was very <:freat, and tliut tlioy occasionally made journeys completely across this continent, as, for instance, the journey of IMoncacht-Ape,* together with others fully as remarkable and per- haps more authentic. Moreover, Margry writes : " 11 nous disoit, dans la Bibliotheque du Roy, a. leu M. Thevenot et a moy, qu'il estoit dans la mesme opinion, et cela d'autant plus que le Pere Martini luy avoua, en la Chine, qu'il avoit coni'esse en espagnol uue femme Mexitjuaine, qui, ayant este enlevee esclave au Mexique, estoit arrivee de pays en pays, de nation en nation et d'esclavage en esclavage, en la Chine, par terre, sans avoir passe qu'un petit dctroit de mer, et cette histoire est rapportt^e dans le cinquiesme volume in-8° en italien, avec figures de Giro del Mondo, du docteur Gemelli, Napolitain, arrive depuis uu an a Naples, d'ou je me suis fait venir ce livre en six volumes." t If this could be believed, it might be possible that the Prehistoric iron had found its way across Behring Straits till finally it was col- lected, with the other relics from all parts of this country, on the altar of Mound No. 3 of the Turner Group in Little Miami Valley, Ohio. Unfortunately for this solution, Prof. F. W. Putnam considers that the people who built the mounds came fi'om the south. That they may have at one time had communication with China seems probable from the frequent occurrence of specimens of jadeite among their imjjlements, and from the fact that in most cases the jadeite implements have been subsequently cut up into ornaments, while the nephrites have been left intact, showing that the former must have become more and more rare and highly prized as they were passed down through successive generations. Provided that the original owners of our Prehistoric meteorite had associations with China, still there is no reason for supposing that they had any communication with Siberia. Nevertheless, can it be consid- ered much more remarkable that a Siberian meteorite should be found on an altar in an Ohio mound, than that a pipe of the red indurated clay, found only on the Pipe Stone Branch of the Little Sioux River of the Missouri, should be picked up on the banks of the Rio de la Plata in South America, and several more in New England ? J The only other explanation of the close resemblance between the Prehistoric iron and the original Pallas would be that they were two portions of the same meteoric outburst which fell at remote distances * Proc. Am. Antiquarian Soc, April 25, 1883. t Decouvertes de I'Amerique Septentrionale, 1614-1754, Vol. VI. p. 173. t Long's Expedition, Vol. I. p. 31. 12 PROCEEDINGS OF THE AMERICAN ACADEMY from each other, possibly in two hemispheres, though as yet the most distant places in which the same meteorite has been identified are Mexico and Kentucky.* The subject is an interesting one, and could be discussed at much greater length than the limits of this paper will allow, but the only ob- ject of this discussion has been to show that there is a wonderfully close resemblance between the Prehistoric and Pallas iron, and that, though the Prehistoric resembles the Kiowa County far more closely than it does the Carroll County, yet there is no reason for regarding them as identical. In this discussion the Harvard mass of the Kiowa County find has been compared with another specimen from the same, described in a paper previously quoted as if the two were identical, and, in closing, the author would mention that he has had the opportunity of examin- ing the various specimens in mass, and also the cut slabs placed side by side, and they are unquestionably the same. * Proceedings of this Academy, Vol. XXIV. p. 30, October, 1888. Plate II. Fig 3. — Kiowa Cokxty, Pkixtkd uikectlv from the Slab. ■■*' '■" '■' ''ill Fk;. 4. — I'ltKllISTOUK', I'lUNTED FRO.M THK IkOX. Fi(i. "). — 1'hixtki> KHO.M ESTHEKVILLE >."oUL Lli. I'r.ATK III. *1\! :»M¥«r .::■■ 'LILT Fio. C — Suii ..1- Ki,,n A r.iiMV 1j:..n iieceivei. i bom Wain, asu li.raEi.i.. OP ARTS AND SCIENCES. 13 II. PRELIMINARY KOTES ON THE SPECIES OF DOASSANSIA, Cornu. By William Albekt Setchell. Presented March 11, 1891. The genus Doassansia was established by Cornu, in 1883,* to receive the Sclerotium AUsmatis, Nees, on Alisma, and a new species, D. Farlowii, on Potamogeton. Since then there have been several additions both of old and of new forms, until at present the number of species referred to it is twelve. All of them inhabit hosts which are more or less aquatic in habit, though belonging to widely sepa- rated families. They are said to differ little" in structure, but to be distinguished from one another chiefly by the differences of the host plant.f A careful study of the species distributed in the various " Exsiccati," as well as of the accessible living material, has shown that this is not strictly correct. Not only are most of the species fairly well characterized by peculiarities of structure, but there are also several types of structure sufficiently diverse to be given sub- generic or even generic rank. Moreover, by the discovery of sev- eral new species, additional types of structure have been found, and have rendered it even more necessary that a careful revision of all the species should be made. On this account, full descriptions and figures of all the specias of which material was available have been prepared, but as there is a delay in publication, it has seemed best to give a brief summary of the results in the present preliminary notice. The spores of the Doassansice resemble those of the species of Entyloma both in structure and in germination ; but in the former they are collected and compacted into balls, called by most writers " sori." The species of the genus Doassansia have in addition a coat, or "cortex," of sterile cells surrounding the sorus, Cornu certainly * Ann. Sci. Nat., ser. 6, Tom. XV. p. 285. t Cf. Schroeter, Pilzfl. Schles., p. 286, 1887. De Toni, Journ. Myc, Vol. IV. p. 14, 1888. 14 PROCEEDINGS OF THE AMERICAN ACADEMY considered that the possession of this cortex was the distinguishing feature of the species of his genus, although, as will be noted under D. Farlowii, he did not always recognize the true cortex. It seems best, therefore, to refer to Doassansia all the species of the group of the Entylomata which have the sorus invested with a cortex of sterile cells. The sori of several species referred to Doassansia show, when thin sections are examined, that this cortex is not present. Such are the sori of D. NiessUi, De Toni, D. Limosellce, (Kunze), Schroeter, D. decijnens, Winter, and an undescribed form on Echinodorus ros- tratiis, mentioned by Harkness under B. AUsmatis* These several species, together with Entyloma crastophilum, Sacc, and probably others, form a group intermediate between the simpler species of Entijloma and those of Doassansia proper ; but the limits of this group cannot be ascertained with any exactness without a careful study of all the numerous forms which of late have been referred as species to Entyloma. They must therefore be left unsettled in position for the present. Among the Doassansice, as is the case among the Entylomata in general, the specific distinctions are not striking. They differ slightly in habit when dried, yet when fresh most of the species may be distinguished at a glance by the peculiar distortion or discoloration of the host plant produced by them. As a rule, the Entylomata do not produce distortions, but two of the species of Doassansia cause swellings of considerable size. The structure of the sorus varies decidedly, and has been made in these notes the basis of generic and subgeneric distinctions. The germination has been obtained wherever possible, and has been found to vary in its details among the different species. Following is given the arrangement of the species and genera. DOASSANSIA, Cornu. Spores resembling those of Entyloma both in structure and in germination, collected and compacted into sori. Cortex of sterile cells present. Subgenus I. Eudoassansia. Body of the sorus consisting entirely of spores, which are readily separable from one another at maturity. * Cf. Proc. Cal. Acad. Sci., ser. 2, Vol. II. p. 231, 1889. OF ARTS AND SCIENCES. 16 The type of this subgenus is D. AUsmatis, Cornu, which represents Cornu's idea of Doassansia. 1. D. Epilobii, Farlow. On leaves of Epilobium alpinum. United States ! The cells of the cortex of this species are very small and flattened, and the sori, on this account, very closely resemble those of D. decipiens, Winter. It may perhaps be looked upon as a form intermediate between the group represented by D. decipiens and the group of the Eudoassansice. 2. D. HottonifB, (Rostr.), De Toni. On leaves of Hottonia palusfris. Denmark !, Germany !, France ! . 3. D. Sagittarice, (Westend.), Fisch. On leaves of Sagittaria sagittifoUa^ graminea, variabUis, and Mon- tevidensh. Italy !, France !, Germany !, Belgium !, England ! ; Argentine Re- public ; Canada !, United States ! . 4. D. opaca, sp. nov. Spot orbicular, slightly swollen on both surfaces of the leaf, lemon-yellow, at length dark brown and opaque. Sori crowded, indistinct when viewed with a lens, globular to almost cubical, 200-300 /x by 80-100 /a, light brown. Spores rather loosely compacted together, nearly spherical, 10-15 /x in diameter. Cortical cells of various shapes, from brick-shaped to almost cubical. Germination unknown. On leaves of Sagittaria variabilis. United States ! (Newton, Mass., W. G. Farlow !, Medford, Mass. !, Norwich, Conn. !). This species was mentioned by Farlow * under the name of Pro- tomyces Sagittarice, as occurring at Newton, Mass. The same form has been collected by myself, both at Medford, Mass., and at Norwich, Conn., in abundance, and has been studied in all stages of develop- ment. The species differs decidedly from D. Sagittarice in habit and form of the sorus, as well as in the character of the cortical cells. Sowings of the spores have been repeatedly made, but the germination, unfortunately, has not been obtained. The species is readily detected by holding an infected leaf between the eye and * Bot. Gaz., Vol. VIII. p. 276, August, 1883. 16 PROCEEDINGS OF THE AMERICAN ACADEMY the light, when the spots appear as dark, black patches in the leaf substance. 5. D. Alismatis, (Nees), Cornu. On leaves of Alisma nutans and Plantago. Italy!, P^ ranee, Germany!, Finland!, England!; Siberia!; United States ! . Subgenus II. Pseudodoassansia. Central portion of the sorus composed of an irregular-shaped mass of fine, densely interwoven hyphce. Spores in several layers, loosely compacted together. Cortex of large, well differentiated cells. 6. D. obscura, sp. nov. Spot none. Sori in lines in the larger inter- cellular spaces at the base of the petioles and peduncles of the host, globular to ellipsoidal, 180-220 /x by 200-300 /x, light brown. Spores almost globular, 8-1 2 /a in diameter, light-colored. Cor- tical cells obversely conical, conspicuously lobed at the outer, broader end. Promycelium narrowly cylindrical, about 20 /* long. Sporidia in whorls of 5 to 7, elongated fusiform, 16-17 jx long and 1.5-2 /x. thick, producing bunches of secondary sporidia without conjugation. On petioles and peduncles of Sagittaria varinhllis. United States ! (Cambridge, Mass. !, Medford, Mass. !, Norwich, Conn.!). This species is very inconspicuous, being detected only upon the most careful examination. When occurring upon the green portions of the petioles and peduncles, it causes a very faint yellowish discolor- ation. It most frequently inhabits the white portions at the very base of these parts, and then the dark lines of sori show through the more or less transparent outer tissues. It is abundantly distinct from all the other species of the genus. The central hyphoe, the loosely compacted spores, the obconic lobed cells of the cortex, and the method of germination of the spores, are all characteristic. It seems to differ so much from the species which cluster about D. Alismatis as to demand a special subgenus for its reception. Subgenus III. Doassansiopsis. Sorus compact, not separating into its component elements at maturity. Central portion consisting of a compact mass of pai'enchy- matous tissue. Spores in a single layer. Cortex of small flattened cells. OF ARTS AND SCIENCES. 17 7. D. occulta, (Hoffm.). D. occulta, (HofFm.), var. Farlowii, (Cornu). Authentic specimens of D. Farlowii, Cornu, do not seem to me to correspond exactly to Hoffmann's figures * but differ particularly in having spores which are elongated in a radial direction. Specimens collected by myself near Norwich, Conn,, agree better with Hoffmann's figure, and are considered in these notes to represent the type of D. occulta, while D. Farlowii is for the present placed as a variety under it. The elongated cells on the periphery of the sorus in Cornu's figure f are really the spores, and the real cortex of small, radially flattened cells is not shown, while the rounded cells in the centre are not immature spores, but are sterile cells resembling parenchyma cells. In the ovaries of species of Potamogeton. Type. Germany ; United States ! (Norwich, Conn. !). Var Farlowii. Canada (Ottawa, /. B. Fletcher !). 8. D. Martianojfftana, (Thuem.), Schroeter. On leaves of species of Potamogeton. Siberia ; Germany, Sweden ! ; Canada ! . In the specimens from Sweden, distributed by Johanson, $ there appear to be conidia, almost identical in appearance with those already known in some species of Entyloma. There seems to be an intimate connection between the mycelium of the Doassansia and that of the conidia. 9. D. deformans, sp. nov. Species forming distortions, often of large size, on all parts of the host. Sori globular, 100-140//, very light brown. Spores polyhedral, 8-10/^ by 4-8 /x. Cortical cells polygonal, flattened radially. Promycelium somewhat ob- conical, about 12 /* long. Sporidia 5 to 6, broadly fusiform, 12 /x by 4-5 //, conjugating and producing a short germ tube. In the leaves, petioles, peduncles, pedicels, and ovaries of Sagittaria variabilis. United States ! (Norwich, Conn. !, Cambridge, Mass. !) ; Canada (London, leg. Benrness, comm. J. B. Ellis). A species forming large distortions on Sagittaria, nearly related to the other species of the subgenus, but abundantly distinct from all the * Ic. Anat. Fung., Taf XVI. Fig. 3, 1862. t Ann. Sci. Nat., Tom. XV. PI. XVI. Fig 6, 1883. X Cf, Eriksson, Fung Scand. Par., No. 264, 1888. Fazschke, Fung. Eur., No. 3602, 1890. VOL. XXVI. (n. s xviii ) 2 18 PROCEEDINGS OF THE AMERICAN ACADEMY Other species on the same host. It is to be distinguished from D. occulta (type) by its method of germination. It is without doubt more widely spread, but the distortion is probably mistaken for the work of an insect rather than that of a fungus. Species Inquirendce. 10. D. Cotnari, (B. & Br.), De Toni. On leaves of Comaram palustre. England. 11. D. punctif or mis, ^ 'inter . On leaves of Lythrum hyssopifolium. Australia. 12. D. Lijthropsidis, Lagerh. Od Lythropsi s peploides. Portugal. Species Excludendoe. D. Niesslii^ De Toni. D. Limosellce, (Kunze), Schroeter. D. decipiens, Winter. D. Alismatis, Hark, (not Coruu). EURRILLIA, gen. nov. Sorns compact, not separating into its elements on being crushed. Central portion composed of an irregular mass of parenchymatous tissue. Spores closely resembling those of Entyloma^ both in structure and in germination, compacted into several dense rows. Corte x none or composed only of a thin, irregular ayer of hardened hyphai. B. pustulata^ sp. nov. Spots irregularly orbicular, often confluent, light yellow, chiefly hypophyllous. Sori elongated ellipsoidal, at length bursting through the epidermis, which appears raised in small blisters, 200-350 /A by 150-180 /a, light brown. Spores not separable at ma- turity, almost globular, 4-6 jx in diameter, germinating while the sori are in position. Promycelium cylindrical, IS/x. long, bearing 4-5 sporidia in a whorl at the blunt apex. Sporitlia slightly bent, 1 6 /x by 3 /x. On leaves of Sagittaria variabilis. United States ! (Illinois, leg. G. P. Clinton !, comm. T. J. BurriU, Wisconsin, W. Trelease !). The sori of this species resemble in structure the spore balls of Testicularia Cyperi, Klotsch. ; * but the position of that species is un- * Cf. Cornu, Ann. Sci. Nat.,ser. 6, Tom. XV. pp. 270-273, PI. XIV. Fig. 1-5, 1883. OF ARTS AND SCIENCES. 19 certain, and even if it is one of the Uatilagincfe at all, it belongs rather to the series of the pulverulent smuts, while the present form, both in spore structure and in germination, is closely related to Doassansia and to Entrjloma. It is to be distinguished from any of the species of Doassansia by the lack of a cortex, and from any of the other Eiitylomata by the presence of the central parenchymatous portion. In the latter, it resembles the forms described under the subgenus Doassansiopsis, but it differs from them not only In the lack of a cortex but also in the possession of several layers of spores. The genus is named in honor of Prof. T. J. Burrill, of the University of Illinois, by whom the first specimens were sent. CORNUELLA, gen. nov. Sorus hollow at maturity, the interior containing only loose, hard- ened hypha?. Spores compacted into a firm layer on the outside, resembling those of Entyloma both in structure and in germination. Cortex none. C. Lemnce, sp. nov. Spot none. Sori globular to ellipsoidal, 50-70 -lOOjain diameter, dark brown. Spores not separable at maturity, often elongated radially, 10-12 /^ by 6-10 /x,. Promycelium some- what obconical. Sporidia in whorls of 5 to 7, narrowly fusiform, 26 /x by 2 yu., producing a germ tube after conjugating. In the fronds of Lemna (Spirodela) polyrrhiza. United States ! (Cambridge, Mass. !, Newton, Mass. ! ; Belchertown, Mass., J. E. Humphrey !). The type of this genus, which I respectfully dedicate to Prof. Maxime Cornu, of the Jardin des Plantes, is very different from any described member of the Vstilaginece. The hollow sorus with only loosely entangled hyphai on the inside, is unique, and yet the spore structure and germination closely ally it with Doassansia and Burrillia. The germination takes place while the spores are in position, and the whole sorus is covered with a bristly mass of promycelia and sporidia. Something of the same thing happens also in Burrillia pustulata and in the species of the subgenus Doassansiopsis. 20 PROCEEDINGS OP THE AMERICAN ACADEMY III. ON SOME THEOREMS WHICH CONNECT TOGETHER CERTAIN LINE AND SURFACE INTEGRALS. By B. O. Peirce. Presented May 13, 1891. In transforminw from one set of curvilinear coordinates to another, some of the differential expressions which appear in problems in Hydrokinematics and Electro kinematics, I have found the theorems * stated below useful. Theorem. — Let U be any function of the two polar coordinates, T and d, which, with its first space derivatives, is finite, continuous, Fig. 1. and single-valued throughout that part of the coordinate plane which is shut in by the closed curve T. Let 8 be the angle between the ra- dius vector, drawn from the origin to any point P on T, and the normal to T drawn from within outwards at P. Then, if 7' does not include * London Educational Times, January and February, 1891. OF ARTS AND SCIENCES. 21 the origin, the line integrals of U cos 8 and CTsin S, taken around T, are equal respectively to the surface integrals of —^ and , taken over the area enclosed by T. For the element of plane surface in polar coordinates, rAr^O may be used. Let the radius vector OP, drawn so as to make the angle 6 with the initial line OX, cut T 2n times at points P-^, P^, P3, .... P^n-, distant respectively r^ , i\, r^, .... r^^ from 0. Let the values of U at these points of intersection be Ui, U^, V^, .... f^jn? respectively. Whenever the radius vector cm^s into the closed contour, either +S or — 8 is an obtuse angle and cos 8 is negative ; whenever the radius vector emerges from the space enclosed by the contour, either + S or — 8 is acute and cos 8 positive. The two neighboring radii vectores, OP and 0P\ which make with each other the angle A^, include be- tween them the arcs As^, As2, ^Ss? A«4, .... Asjn, cut out of T, and the arcs r^AQ, r^AQ , ^3^^, .... r2„A^, cut out of a set of circum- ferences drawn about 0 as centre, with radii r^, r^, r^, r^, .... r^n, respectively. It is evident that, if A 6 be made to approach zero as a limit, + Limit — A cos Sj = — Limit ^2 • A^ := + Limit ASg A5 AS2 • cos 8.^ • cos 8g = — Limit ■AO ■ cos 84 ~ = + Limit — A. '2 ;n-i ■ ^■A0 COSfi^n- -1 = — Limit »'2n ^^2„- •A^ cosSa, = -1. If the double integral be extended all over the space enclosed by T, fS^^^ '''^''^^ "" P^ ^~ '''^' + r,U,-r,Us + .... + r,,U,,-], where the integration with respect to 6 is to be extended over all values of the angle for which the corresponding radii vectores cut T. If now for r-iAO, r^AO, r^AO, etc., — cos Si ■ ds^, + COS82 -ds^, — cos S3 • dss + ....+ cos San <^^2n t>6 Substituted respectively, we have I I ^J[S^ — -rdrd9= / [C^i cosSi£?Si + C^cos82C?S2+ •— ^nCos82„], and this last integral is evidently equal to the line integral of UcosS taken all around T. It is to be noticed that, if 0 Were within T, each radius vector would cut T an odd number of times, and that a negative sign must stand before the line integral. * 99 PROCEEDINGS OF THE AMERICAN ACADEMY Since the limit of the ratio of Ar to any one, QQ', of the arcs cut out of T by two circumferences of radii r and r -{■ \r respectively, drawn around (? as a centre, is equal in absolute value to the sine of the angle w^iich 0 Q makes with the external normal to T at Q, it is easy to prove the second part of the theorem by integrating D^ U with regard to 6 first, and then, after introducing proper limits, with regard to r. This theorem may be regarded as a useful special case of the following Theorem. — Let I =z f^ (x, y) and -q =: f^ {x, y) be two analytical functions of a: and y such that the two families of curves fi (x, y) = c, f^ix, y) = Z:, are orthogonal. Let Vhe any function of x and y which, with its first space derivatives is finite, continuous, and single-valued within a closed curve T, drawn iu the coordinate plane. Let hi and Fig. 2. ^2 be the positive roots of the equations Iti^ = (D^ tf + {Dy ^)^, h^ — (Z)^ r;)- + (Dyrj)'^. Then, if ^ has neither maximum nor mini- mum values within 7] the surftice integral of /«i • //o • />,; I — ), taken all over the area enclosed by T is equal to the line integral taken around T'of FcosS, where 8 is the angle between the exterior normal drawn to T at any point, and the curve of constant 77 drawn through the point, and where the direction in which ^ increases is taken positive. Similarly, if proper regard be had for signs, f p'l ■ h A {T) ^« = r^sin 8 . ds. If through any point, P, in the coiirdinate plane, two arcs .v, , So be drawn along which ^ and ij are respectively constaut, d Sy = '' , 2 OF ARTS AND SCIENCES. 23 ds^ = ~, and for the element of surface -— — ^ may be used. The "l / y\ "1 ' "2 surface integral of hi-Ii.^.D^ i- J taken over the area enclosed by 7' is o =JJh ■ K ■ A (;|-^) ds, . ds, =Jd r/Jn^ (J^ dc Consider two curves 0 Q, 0' Q' along which r/ has respectively the constant values r]o and r/o + A r/ ; and let ^ increase in the directions OQ, O'Q'. Let OQcutT 2n times at the points P', P", P'", ....,P^'-"\ where the values oi' /u are h^', h.^", h.^", .... , /^j'""', respectively, and the cor- responding values of V, V, V", V", ...., f^^-"\ The curved line 0 Q makes with the normals drawn to T at P', P", P'", etc., from within outwards the angles 8', 8", l'", etc., and the two curves OQ, O'Q', cut out of 7" the 2» arcs As', As", As'", ...., AP"K where the integration is to be extended over all values of rj which occur within T. The angles 5', 5'" 5^^"""'^, or their negatives, are all obtuse and their cosines are negative, but the angles 8", 8^'^', .... S^-"\ or their negatives, are all acute and their cosines are positive, so that at every point, P^"', where OQ cuts 7' we have Limit r (-!)-• A s^-^ cos 8r-n_^ d n and in the expression for O we may write ( — 1)'^ • cos S™ c?s™ for yj^.. "2 Hence, where the sign of integration directs us to find a similar expression to that in the brackets for every pair of consecutive curves of constant r/ which cut T, and to find the limit of the sum of the whole. This is evidently equivalent to integrating T^cosS all around the curve T. Jefferson Physical Laboratory, Cambridge. 24 PBOCEEDINGS OP THE AMERICAN ACADEMY lY. THE QUANTITATIVE DETERMINATION OF ARSENIC, BY THE BERZELIUS-MARSH PROCESS, ESPECIALLY AS APPLIED TO THE ANALYSIS OF WALL PAPERS AND FABRICS. By Charles R. Sangeb. Presented May 13, 1891. The original method of Marsh* was published in 1836, and in the following year Berzelius f proposed the modification which couples his name with that of Marsh. It seems to have escaped notice, at least I can find no mention of the fact, that Berzelius also suggested the quantitative application of the method. He proposed to place some pieces of copper in the reduction tube, and, after weighing tube and copper, to heat and pass the arsenical gas through. The copper would further the reduction of the arseuiuretted hydrogen, and thus the arsenic might be collected and weighed. Wohler,! in 1861, proposes essentially the same method, but heats the tube in two places, at the copper which he uses in the form of a spiral, two inches long, and also just behind the copper, so that whatever gas escapes decomposition by the first heating may be decomposed by the copper. The first practical application of this method seems to have been made by GautierJ in 1876, in the estimation of arsenic contained m tissues. He omits the copper spiral, but heats the re- duction tube by a layer of charcoal 20 to 25 cm. in length. To de- termine the arsenic deposited, he weighs the tube, dissolves out the mirror by nitric acid, and, after drying, weighs again. Croramydis,|| a year later, follows Gautier's method in a similar research. Chittenden and Donaldson, H in 1881, investigated this method with very satisfactory results, and suggested the improvements which * Edin. Philos. Journ., XXI. 229. t Berzelius, Jahresb., XVII. 191. J Mineral-analyse, p. 232. § Ann. d'llygiene publ. et de Me'd. legale, 1876, p. 136; also Bull, de la Soc. Chim., [2.] XXIV. 250. II Bull, de la Soc. Chim., [2] XXV. .348. H American Chemical Journal, Vol. II. No. 4 ; Chem. News, XLIII. 21 ; Moniteur Scient. de Paris, 1881, p. 227. QUANTITATIVK DETERMINATION OF AKSENIC BY THE BERZELIDS-MARSH PROCESS STANDAKD MJRRORS. OP ARTS AND SCIENCES. 25 were necessary for its adoption as a trustworthy analytical method. Their process has found its way into the text-books, and needs no ex- planation here. I note its use by Hubbard* in 1882, and Prescottf in 1886, and undoubtedly many others have employed it in toxicologi- cal work. It seems remarkable, therefore, that the previous applica- tion of the process to quantitative work should have escaped the attention of Kiihn and Saeger,J as well as Polenske,§ to whom they refer as the first to propose the method. Kiihn and Saeger's article, published a few months ago, contains nothing new ; but as the paper of Folenske is inaccessible to me, I cannot say what modification he may have introduced. I need not refer here to the numerous quantitative methods which depend on the reduction by nascent hydrogen and absorption of the arseniuretted hydrogen by argentic nitrate, the eventual determina- tion of the arsenic being made from the silver solution in a variety of ways. These methods form a class by themselves, and cannot be in- cluded in the Berzelius-Marsh process. All methods for the estimation of arsenic are open to a common objection ; they do not allow the estimation of minimal, or even, with accuracy, of small amounts. It happens so often that a small amount of arsenic must remain unestimated, because unweighable, and only an approximation to the real quantity can be made. In the qualitative analysis of wall papers and fabrics by the Ber- zelius-Marsh method, much confusion results from the careless man- ner of reporting the amount of arsenic which makes its appearance in the reduction tube. The reports, " trace," " small amount," "large amount," are usually made without reference to any standard mirrors, time of heating the reduction tube, or, in many cases, to the amount of substance taken for analysis. On account of the want of a definite quantitative method which could be easily applied to wall papers and fabrics, there have been some propositions for a rough quantitative determination, which should serve as a control as to whether the substance contained more or less than a prescribed amount. The Swedish law || of 1883, for instance, though not using the Berzelius- — * - * Pliysician and Surgeon, Ann Arbor, IV. 348 ; also, Contributions from the Chem. Lab. Univ. Mich., Vol. I. Part I. p. 12. t Chera. News, LIII. 79. t Ber. d. deutsch. chem. Gesell., XXIII. 1798. § Arb. a. d. kais. Gesundheitsamt, Bd. V. Heft 2 (1889). II Correspondence between the English and other Governments respecting the Presence of Arsenic ... in Wall Papers and Textile Fabrics. Com" mercial, No. 40 (1883). 26 PROCEEDINGS OP THE AMERICAN ACADEMY Marsh method, prescribes that " 440 sq. cm. of the article ... by reductiou with potassic cyauide and sodic carbonate, shall not produce more than a partially opaque mirror in a glass tube of 1.5 to 2 mm. inner diameter." Thoms * in 1883 proposes as a means of control that the results from 100 sq. cm. of paper should be divided into four grades : " strongly arsenical,"' " arsenical," " traces," and " free." If, when the apparatus has been running ten minutes after the intro- duction of the solution to be tested, a deposit is obtained no larger than that corresponding to what is produced by 0.1 mgr. of arsenious oxide under similar conditions, the paper may be considered to con- tain a " trace," and need not be rejected. A committee of the National Health Association of Great Britain, consisting of Messrs. Bartlett, Heisch, and De Chaumout,! suggested, in 1883, that a paper should be considered non-arsenical if, after being treated by a modification of the Berzelius-Marsh method devised by them, it failed to give a mirror in a tube of one eighth inch internal diameter (about 3.3 mm.) sufficient to cut off at any point a black line of a certain thickness (" thick rule, 8 to pica ") on a white ground. All this is very crude, yet, without a means of easily estimating the amount of arsenic present, it might answer until the exact de- termination was called for. The length of time necessary for any of the quantitative methods precludes their use by analysts, especially when, as is generally the case, the quantitative determination is not of especial importance. If we attempt to apply the gravimetric Berzelius-Marsh method to the analysis of wall paper, we are met, not only by the amount of time necessary for the complete deposition of the arsenic mirror, but by the large amount of paper that must be taken, or, if the proportion of arsenic is very small, the unwieldy amount. Added to this is the necessity for a delicate balance, and also the error in weishinff small mirrors of arsenic. A method is therefore desirable which will allow us to estimate minimal amounts of arsenic, and, in such analyses as that of wall paper, will give an approximate idea of the amount present without requiring more time than that needed for the proper -conduct of the ordinary Berzelius-Marsh method. The process which is described in the following pages was sug- gested by Professor H. B. Hill of Cambridge, about five years ago, * Ref. Fres. Zeitschr., XXII. 474, from Ber. d. landw. chem. Vers. u. Samen- controlstat. zu Riga, 1883. t Brit. Med. Jour., 1883, p. 1218. OP ARTS AND SCIENCES. 27 and has been in use in that hiboratory and others with excellent suc- cess. The proof of the availability of the method was undertaken by me, but, owing to numerous interruptions, the completion of the ana- lytical work has been delayed until now. The method consists, briefly, after getting the arsenic from a measured amount of paper or fabric into solution, in the comparison of the mirror obtained from an aliquot part of the solution with a series of standard mirrors obtained from known amounts of arsenious oxide. No method founded on exactly this principle has ever been fully described, though Otto * gives cuts of mirrors obtained from known amounts of arsenious oxide, with which some analysts may have compared their mirrors. Selmi,t in 1880, states that he is able to approximate to fractions of a milligram by comparing the mirrors with those obtained from the following amounts : one twen- tieth, one fiftieth, one hundredth, and one two-hundredth part of a milligram. Thoms, as stated above, compares his " traces " with a mirror obtained from one tenth of a milligram, and says that the mirror can be kept any length of time as a comparison standard. Blyth $ also suggests a comparison of mirrors. I give in detail the method as I have used it in the analysis of wall paper, making references to the analytical and experimental work which follows. The measurement of the paper is governed by (a) the quantity of arsenic present, which may sometimes be judged by the color, or by the rough test of the odor from the burning paper, and (h) by the character of the paper ; i. e. whether a plain color, a small or large figure. I have used 25 sq. cm., 50 sq. cm., and usually 100 sq. cm. As patterns for cutting, thin plates of glass § may be used, on which are marked the dimensions. The advantage of the glass is, that the figure of the paper may be seen while the paper is being cut, and also, that, by washing or wiping the glass after each cutting, any danger of contamination by adhering particles from a previous arsenical paper may be avoided. I have used but one plate for 25 sq. cm. (5x5); for 50 sq. cm., three (5 X 10, 4 X 12.5, and 2 X 25) ; and for 100 sq. cm., five (10 X 10, 5 X 20, 4 x 25, 8 X 12,5, and 2 X 50) ; such a number allowing the variety in cutting that dif- ferent papers necessitate. * Graham-Otto-Michaelis, Lehrbuch, II. 2, 520. t Gazz. Cliim. Ital., X. 435. X Poisons, tlieir Effect and Detection, 1884, p. 634. § Dr. Charles Harrington. 28 PROCEEDINGS OP THE AMERICAN ACADEMY The paper, cut into small pieces, is placed in a glazed porcelain dish and moistened with 1 to 5 c. c, according to the amount of paper taken, of strong sulphuric acid (sp. gr. 1.8) to which has been added about one thirtieth of its volume of strong nitric acid (Appen- dix, 2. e). The paper and acid are stirred with a thick glass rod until the paper has absorbed the acid, and the dish is then placed on a ring and heated by a low flame, the mixture being stirred continu- ally, until the paper is thoroughly charred (App., 1). This may be determined by the dry " crumbly " appearance, and by the amount of fuming, it being necessary to heat until the nitric acid is expelled. Usually, the first heating is enough, as, even if a trace of nitric acid is left, it does no harm (App., 2./) ; yet, if one has reason to think that considerable nitric acid is held back, it is best, after cooling, to add a few cubic centimeters of water, and heat again until the fumes of sulphuric acid appear. On cooling, the " char " is moistened with a few drops of water, and then about 5 c. c. of water are added. The mass is triturated with the thick rod until all lumps are thoroughly broken up, heated to boiling to expel sulphur dioxide (App., 5. d) and filtered hot (App., 3). Filtration of the Extract. — In filtering, time is saved and greater accuracy assured by using a filter pump, and for filtration I have found most convenient a sideneck test tube of 25 to 30 c. c. capacity. This is fitted with a rubber cork through which passes a small funnel, the end reaching just below the side tubulus of the test tube. With the tubulus is connected the pump, and in order to prevent accidental contamination of the tubulus, (through which the extract is afterwards poured into the Marsh apparatus,) I use a connecting glass tube, which may be rinsed before and after each filtration. This tube is a small U tube not over 25 cm. in total length, with two bulbs blown in the lower part of the U. The filter paper is of small diameter, not over 8 cm. and the lot should be tested for arsenic previous to cutting the round filters. As a strengthening cone at the apex will be found convenient for this, as well as for other filtrations, a square piece of cheese cloth laid under the paper and folded with it. After filtering, the char is washed with small quantities of hot water until the filtrate and washings fill the test tube. The extract, after cooling, is ready for weighing or measuring, and introduction into the apparatus. The Apparatus. — Two points will have been noticed in working with the ordinary form of generating flask : the time required for dis- placement of the air, and the impossibility of governing the evolution OF ARTS AND SCIENCES. 29 of hydrogen during the analysis. The latter objection is partially remedied by some such contrivance as that of Lehmann* or of Blond- lotjt both of whom regulate the current bj' raising or lowering the zinc by a glass rod working through the cork of the flask. Chitten- den and Donaldson J regulate the evolution by the successive use of acids of increasing strength. Both difficulties are, however, obviated by the use of a constant hydrogen generator by which the air of the flask may be swept out and the flow of the hydrogen controlled, thus assuring the uniform rate of deposition of the arsenic, on which the success of the process as a quantitative one largely depends. This idea of a constant generator was apparently first proposed by Verryken,§ and has been used also in 1888 by Wolff || in a modifi- cation of Bloxam's electrolytic method. *[[ Any form of generator can of course be used. To the delivery tube is attached a distributing tube, which may be two-way or three-way, according to the number of reduction flasks used. For two flasks an ordinary Y tube suffices, each end of the Y being fitted with a thick rubber connecting tube and a screw clamp, so that the supply of hydrogen may be shut off entirely or controlled for each flask. The reduction flask is a wide- mouthed bottle of about 75 c. c. capacity, fitted with a rubber stopper pierced with three holes. Through one hole passes a right-angled tube reaching to the bottom of the flask, the other end being con- nected with the distribution tube of the generator. Through the second hole passes the right-angled delivery tube, reaching just below the rubber cork. The third hole serves for the introduction of acid and extract. Through it passes to the bottom of the flask a tube with the bore at the lower end somewhat reduced by melting.** In the top of this tube is set a very small funnel. To the delivery tube of the reduction flask is attached by a rubber stopper a straight bulb drying tube filled with fused calcic chloride (App., 5. a), and to the drying tube is connected by a short thick rubber tube the reduction tube, which should be of the hardest and best quality of Bohemian glass (App., 5. ^), and of as uniform bore as * Pharm. Zeitschr. f. Russland, 1888, XXVII. 193. t Memoires de la Soc. Roy. de Sci., Lett, et Arts de Nancy, 1845. i Loc. cit. § Ref. by DragendorfE, Ermittelung von Giften, 1876, pp. 337 and 317, to Jour, de Pharm. d'Anvers, 1872, pp. 193 and 241. II Fresen. Zeitsclir., XXVII. 125. TF Ibid.; also Biyth, loc. cit., p. 533. ** That the fluid introduced may not carry any air with it into the flask. 30 PROCEEDINGS OF THE AMERICAN ACADEMY possible, about 7 mm. inside and 8 mm. outside diameter. It should be drawn out before a small blast-lamp flame to as nearly as possible definite bore, which ought to be from 1.5 mm. to 2 mm. at the place of deposition of the arsenic mirror. The finely drawn tube is bent slightly upward, and sealed at the end. The Reagents (App., 4). — The zinc and sulphuric acid used in the apparatus must be strictly free from arsenic, and one should not feel satisfied of their purity unless a stream of hydrogen from the genera- tor, led through the heated tube for several hours, fails to give the slightest deposit. The granulated zinc used in the generator is best of comparatively large size, while that used in the reduction flasks should be quite fine-grained. The acid should have a concentration of one part strong acid (1.82 sp. gr.) to eight parts of water, though a more dilute acid can often be used. The Course of Analysis. — In the reduction flask is placed a small quantity, not over three grams, of zinc, and the apparatus is con- nected together. Tightness must be assured, and can be tested for, if the tip of the reduction tube is sealed, by adding through the small funnel a few drops of acid. If these do not fall, the tip of the tube is broken off, leaving an opening of not more than 1 mm. diameter, and then about 20 c. c. of acid are added. The hydroiiea is now turned on from the generator, aud, after expulsion of the air, lighted, and the flame turned down to a height of 1 to 2 mm. The evolution of hydrogen should be kept at this rate during the reduction of the arsenical solution. Often it is not necessary to use the generator during the reduction, as the evolution from the reduction flask is sufficiently rapid. If it slackens, the generator may be used again, and indeed it is generally necessary to use it toward the close of the reduction. It may happen, on account of too strong acid or increased action after introduction of the extract, that the evolution is too rapid, and the flask becomes heated (App., 5. c). To obviate this, the flask may be set in a vessel fitted with an exit tubulus, and filled with cold water, which can be drawn off" and replaced when necessary without disturbing the apparatus. An ordinary crystallizing dish with a siphon would answer the purpose. Shortly after (App., 5. e) lighting the hydrogen, the lamp is placed under the heating place and the apparatus tested for absence of arsenic for such length of time as the circumstances direct. In or- dinary analyses of wall paper, I allow 15 to 20 minutes' free run before adding the extract. The lamp should give a large clearly defined flame (App., 5./), OF ARTS AND SCIENCES. 31 and should heat the tube with its oxidizing flame only. An iron cone may be used for increased draught, but not an iron or glass cylinder for the greater radius of heat given by the latter tends to throw the mirror farther along the tube, and to deposit it irregularly. A con- venient rest for the reduction tube is made by soldering three stout copper wires to an old binding screw or post, curving the ends to fit the tube and branching them out, so that the tube lies flat in the curved ends. The binding screw travels vertically on a brass rod melted into a flat, heavy piece of lead, or screwed into tlie base of an old Bunsen burner. When the apparatus is found free from arsenic, the extract is added. Previous to tliis it has been measured or weighed, preferably the latter. The test tube having its weight marked on it, the weight of the extract is quickly determined. Weighings can be made on a balance sensitive to fifty milligrams, which is enough for all practical purposes. A few drops of the extract are at first added. If no mirror appears in three or four minutes, one eighth to one quarter of the rest may be added, and if in five minutes more there is no mirror, the whole of the extract may be introduced. This cautious addition is necessary in order not to obtain too large a mirror, else a difficulty in estimation might arise, or a new determination might have to be made. A twenty-five minute run is sufficient for the deposition of all the arsenic when the size of the mirror formed in the first fifteen minutes is not larger than that corresponding to 0.05 mgr. of arsenious oxide. If the mirror forming is likely to be larger than this, it is better, after weighing, to start another mirror with another portion of the extract, than to wait for the complete deposition of a mirror which may be too large for comparison with the standards. The set of standard mirrors is made as follows. One gram of arsenious oxide, purified by repeated sublimation, is dissolved with the aid of a little sodic bicarbonate (free from arsenic), and, after acidification with dilute sulphuric acid, is made up to a litre. Of this standard solution (I.), containing 1 mgr. AS2O3 to 1 c. c, ten c. c. are taken and made up to a litre, giving the standard solution (II.) containing 0.01 mgr. to 1 c. c. Of this solution, 1 c. c, 2 c. c, 3 c. c, etc., are carefully measured from a burette and introduced into the reduction flask of the apparatus, giving the mirrors corresponding to the same number of hundredth-milligrams. It is necessary to make two or more mirrors of the lower amounts, as, even with care- ful drawing, the cross sections of the deposition tubes differ, so that o2 PROCEEDINGS OP THE AMERICAN ACADEMY the appearance of the mirror from the same amount of arsenic varies, and the variation is more marked as the mirrors decrease in size. Then, for greater convenience in interpolation, mirrors cor- responding to the half-hundredths may be made, so that the set which I use contains the following amounts. 0.005, 0.01, O.Ol.o, 0.02, 0.025, 0.03, 0.035, 0.01, 0.045, 0.05, and 0.06. Above 0.06 the difference between the mirrors is so hard to estimate with accuracy, that it is of no advantage to make any above 0.06. Yet in the set which I have photographed, and which is shown in the plate, the following are added for comparison : 0.07, 0.08, 0.09, 0.10. When the set is not in use, it should be kept in the dark, and at no time be exposed to direct sunlight. Although the tubes be sealed, yet there is sufficient air inside to cause a rapid oxidation in direct sunlight, especially with the lower amounts, and a film of arsenious oxide results. By observing this precaution, the set can be kept a long time without alteration. The readings of the mirrors are far sharper by transmitted than by retlected light, and comparison should always be made by the former. For this purpose I use, at the suggestion of Professor Hill, a small tin box painted black on the inside and outside, and similar in shape and construction to the old-fjishioned stereoscopic camera. The height of the box is 20 cm. ; width, 7.5 cm. ^ length at top, 10 cm. ; length at bottom, 15 cm. The bottom is open, while the top is covered, and fitted with two eyeholes, 2 cm. in diameter and 4 cm. apart. The set of standard mirrors, as shown in the plate, is mounted, by means of sealing wax, in blackened wooden frames, 18 cm. long by about 7 cm. wide, and 4 to 5 mm. thick. The inner dimensions of the frames are 12 cm. by 4.5 cm. The bottom of the box carries a rabbet of tin, on which the frames may be slid, thus bringing the mirrors under the eyehole.-^. A second rabbet above the first allows the introduction of a frame carrying the mirror to be compared, which may thus be brought between any two of the standards and compared just as in nesslerization. The box is mounted over a white paper or plate, in front of a good light. The calculation of the amount of arsenic in the area 0^ paper taken follows from the determination of the amount in the aliquot part of the solution. From this can be found the number of milligrams per square meter, which, when multiplied by the factor, 0.0128, gives the number of grains per square yard. OF ARTS AND SCIENCES. 33 Appendix. — Analytical and Experimental Work. The experimental work in the investigation of the availability of the method is given in detail in the following pages. 1. Necessity of Charring. — Considerable. difference of opinion ex- ists as tx) the necessity for insuring the absence of organic matter in the extract to be tested. Odling,* in 1859, in testing for arsenic in tissues, found that he could obtain arsenic by Reinsch's test in the presence of organic matter, but not by Marsh's. After getting rid of the organic matter by distillation with hydrochloric acid, he had no difficulty with the Marsh test. Blondlot f calls attention to the necessity of completely destroying the organic matter. Chittenden and Donaldson, t on the other hand, were able, in the presence of or- ganic matter, to detect very small amounts of arsenic, and consider it of no hindrance. My experience has been, that, while the organic matter may not completely prevent the deposition of small amounts, and is no hindrance in the detection of large amounts, yet the char- acter of the mirror is so altered that comparison with the standards is impossible. Besides, the organic matter causes an increased and irregular flow of gas which tends (App., -">./) to carry undecomposed arseniuretted hydrogen out of the tube. I therefore take the precau- tion, by thoi-oughly charring, to insure the absence of organic matter in the extract. Thorns § digests 100 sq. cm. of the paper on the water bath with (1-7) sulphuric acid, and adds the filtrate directly to the reduction flask. Fleck || considers that digestion with a 25 per cent sulphuric acid is sufficient to extract the arsenic completely, and ReichardtlT concurs in this opinion. I cannot agree with this, and consider that the chance of the ai'senic being held as arsenious sulphide is alone enough to condemn the method (App., 2. c), not to speak of the organic matter extracted. 2. Use of an Oxidizing Agent in Charring. — In case the paper con- tains chlorides, it seemed likely that a portion of the arsenic would be volatilized during the treatment with sulphuric acid. This was * Guy's Hospital Reports, V. 367-374. t Loc. cit. X Loc. cit. § Loc. cit. II Rep. analyt. Chem., 1883, Heft 2. 1 Archiv d. Pharm., CCXXI. 271. VOL. XXVI. (n. 8. XVIIl.) 3 34 PROCEEDINGS OF THE AMERICAN ACADEMY found to be true to an extent sufficient to warrant the precaution of adding a small quantity of nitric acid to the sulphuric acid, iu order to prevent the formation of arsenious chloride. a. The Presence of Chlorides in Wall Papers. — In order to deter- mine to what extent chlorides exist in wall papers, several analyses were made of papers taken at random. The method was as follows. A measured amount of paper (400 sq. cm.) was thoroughly mois- tened with a strong solution of potassic nitrate (free from chlorine) on a broad porcelain plate, dried on the plate, and ignited over the plate. The organic matter was practically destroyed. The residue was transferred from the plate to a chlorine free filter, and washed thoroughly with hot water. The filtrate, after acidification with dilute sulphuric acid, was boiled to expel nitrous acid, and, after cooling, titrated according to Volhard with approximately hundredth- normal solutions. There is no danger of volatization of hydrochlo- ric acid even on prolonged boiling, as Gooch and Mar* have shown that a solution containing 0.12 per cent of hydrochloric acid can be boiled down one half without appreciable loss. In titrating, as well as in determining the strength of the standard solutions, it was found that the dilution of the solution affected the end reac- tion in that the color of the ferric sulpho-cyanate was obscured by that of the argentic chloride, even if the latter were made to " clump together." This difficulty was easily obviated by heating to boiling after adding excess of argentic nitrate, filtering off the chloride, and titrating back in the cooled filtrate. The end reaction was then as sharp as possible. Analysis of thirteen papers gave an average of 138 milligrams of chlorine per square meter, or 1.38 mgr. in the usual amount (100 sq. cm.) taken for the determination of arsenic. The higliest amount was 238 mgr., the lowest 56 mgr. In no case was a paper found free from chlorides. h. Effect of Chlorides. — A solution of sodic chloride free frorn ar- senic was made up of such strength that 1 c. c. contained 1 mgr. chlorine. Several trials were made of the effect of a known amount of chloride on small amounts of arsenic. 100 sq. cm. S. and S. filter paper (589) were used in each case. After addition of the arsenic and sodic chloride solutions, the paper was dried in the evaporating dish, and the arsenic determined exactly as described, but without using nitric acid. Tiie following table shows the results obtained. * Amer. Jour. Science, [3 ] XXXIX. 2U3. OP ARTS AND SCIENCES. 35 Analyses 1-6 were made with duplicate readings which agreed closely. Mgr. AsjOg C.c. NaCl, mgr. CI, Mgr- As-jOj Per Cent A 8^0. taken. taken. recovered. recovered. 1 . . . 10.0 20.0 6.22 62.2 2 . . . 10.0 20.0 4.96 49.6 3 . . . 5.0 4.4 3.61 72.2 4 . . . 0.5 2.0 0.44 88.0 5 . . . 0.1 2.0 0.87 87.0 6 . . . . 0.05 2.0 0.02 40.0 7 . . . 0.01 2.0 0.005 50.0 Analyses 1 and 2 show that the presence of twice the theory of chlorine causes a large loss, with an amount of arsenic comparatively large. Analysis 3 shows a marked loss with less than the theory. Analyses 4 to 7 were made with more chlorine than the average found (1.38 mgr.), but less than the greatest amount (2 38 mgr.); the amounts are respectively 4, 20, 40, and 200 times the theory, and the conditions are more nearly those met with in practice than in analyses 1 to 3. It will readily be seen that the loss is sufficient to warrant the precaution of using an oxidizing agent. c. Loss by Retention of Arsenic in the Char as Arsenioiis Sulphide. — The presence of the sulphide in papers is not very common. Yet papers colored with ultramarine occur frequently, and the sulphu- retted hydrogen set free from this by the sulphuric acid acts on the arsenic compound, and thus a large part of the arsenic remains in the char as the sulphide, insoluble in dilute sulphuric acid. The follow- ing analyses of a paper are sufficient to show the danger of loss from this .source. The paper had a light blue ground, and the odor of sulphuretted hydrogen was apparent on addition of sulphuric acid. 100 sq. cm. charred with sulphuric acid and a few drops of nitric acid gave aa amount of arsenic corresponding to 5.9 mgr. per square meter. 100 sq. cm. charred with sulphuric acid alone gave 4.5 mgr. per square meter. The char was then extracted with ammonia, and the extract evaporated with sulphuric acid and a drop of nitric acid. This yielded 0.01 mgr., corresponding to 1 mgr. per square meter and bringing the total amount up to 5.5 mgr., which agrees with the first analysis. d. The Deposition of Arsenic from a Solution of Arsenic Acid. — The question arises whether the conversion of the arsenious to arsenic acid by use of an oxidizing agent would cause the arsenic to be held back. This was quickly determined by comparison of the standard mirrors with a set prepared from a solution of arsenic acid, of which 36 PROCEEDINGS OP THE AMERICAN ACADEMY 1 c. c. contained 0.01 mgr. AsgOs, as AsoOs- The mirrors agreed sharply. This is at variance with the results of Headden and Sadler,* who found, in using the method of Chittenden and Donaldson, that it was necessary to subject the arsenic acid to preliminary reduction in order to obtain all the arsenic present. The reason for this is, probably, that a vei'y small quantity of arsenic acid, such as would occur under the conditions of this method, is more quickly reduced by nascent hydrogen, while the comparatively large quantity used by Headden aud Sadler would take more time. They do not show that prolonged treatment in the Marsh reduction flask would not have eliminated this error. e. The Use of Nitric Acid as an Oxidizer. — Nitric acid suggests itself at once as the most convenient oxidizing agent. In this con- nection may be mentioned the method proposed by Blyth,| which consists in soaking the paper in potassic chlorate, drying, burning, and extracting with water. Hager % substitutes sodic nitrate for the po- tassic chlorate. Many destroy the organic matter by hydrochloric acid and potassic chlorate, as in the case of tissues. Lyttkeus § uses sul- phuric acid and potassic chlorate, and Lenz,]| commenting on this, con- siders it the best means of treatment of the paper. The German law IT of 1888 prescribes the treatment of fabrics with strong hy- drochloric acid aud distillation with ferrous chloride. None of these methods in the analysis of wall papers and fabrics have any advantage over charring with the simple addition of nitric acid, and all require more time. That all the arsenic may be recovered when nitric acid is used is shown by the following: 0.01 mgr. arsenious oxide was added to 100 sq. cm. of filter paper and a drop of strong nitric acid added before charring. The mirror obtained corresponded to 0.01 mgr. 1 mgr. AS2O3 and 5 cc. sodic chloride solution (5 mgr. chlorine) were added to 100 sq. cm. filter paper and treated with a mixture of one part nitric to six parts sulphuric acid. Duplicate readings gave 1.095 mgr recovered, an error no greater than that wliich might occur from the method. 10 mgr. As203,as AS2O5, were added to 100 sq. cm. filter paper, and * Amor. Cliem. Journal, VII. 338; Ber. d. deutsch. Chem. Gesell, XIX. 116. t Loc. cit , p. 632. I Pliarm. Centrallialle, XIII. 145. § Ref. Frcs. Zeitsclir., XXII. 147, from Landw. Versuchsstat., XXVI. 305. lIFres. Zeitsohr.. XXII. 147. If Ibid., XXVII. 471. M(fr. AsjOg taken. Mgr. A8.JO3 fouud. Mgr. per Sq. Meter taken. Mgr. per Sq. Meter found. 0.01 0.009 1.0 0.90 0.10 0.0995 10.0 9.95 1.00 0 977 100.0 9770 10.00 10.30 1000.0 1030.00 OP ARTS AND SCIENCES. 37 treated with sulphuric acid alone. Duplicate readings gave 9.94 mf^r. recovered. Finally, 100 sq. cm. of a wall paper containing no arsenic was, after addition of varying amounts of AsgOa, charred with a nitrosul- phuric acid containing one part nitric to thirty of sulphuric acid. The following table shows the results of four analyses. The readings on 2, 3, and 4 were in duplicate. 1 . . 2 . . 3 . . 4 . . /. Effect of Free Nitric Acid in the Reduction Flask. — Rieckher* does not consider the presence of free nitric acid to be detrimental, while Fresenius t takes the opposite ground. Blondlot :j: thinks that free nitric acid gives rise to the formation of a solid hydride of arsenic on the zinc, thus causing the retention of part of the arsenic. Without discussing the correctness of this statement, which seems to have been quite universally accepted, we have only to consider the effect of a trace of the acid on the deposition of the mirror, as the method of charring would leave, at most, but a very small amount of free nitric acid in the extract. 0.02 mgr. and 0.05 mgr. AsoO^ were added to the reduction flasks in which were about 20 c. c. dilute sulphuric acid, and immediately afterward a drop of strong nitric acid was added to each. The dilution was considerable, but not so great as might occur in practice. The mirrors were clearly defined, and cor- responded sharply to 0.02 mgr. and 0.05 mgr. respectively. 3. Extraction of the " Char." — It is necessary that the char should be thoroughly pulverized and extracted with hot water. Con.siderable loss is likely to occur if these precautions are disregarded, as the fol- lowing results show: — To 100 sq. cm. of a wall paper free from arsenic, 1 mgr. AS2O3 was added, and the char was extracted with 30 c. c. cold water. 0.77 mgr. were recovered, = 77 per cent. To the same amount of paper 5 mgr. were added, and the char ex- tracted with 30 c. c. cold water. 3.82 mgr. were recovered, = 7G.4 per cent. * Neues Jalirb. f. Pharm., XX. 3. f Comptes Rendus, LVII. 596. t Free. Zeitschr., II. 3b9. i38 PROCEEDINGS OP THE AMERICAN ACADEMY To the same amount of paper 1 0 mgr. were added, and the char extracted as before, but, in addition, the particles were well triturated. 9.19 mgr. were recovered, = 91.9 per cent. That this loss was not due to error in estimation of the mirrors was shown by repetition of the first two trials, mirrors being obtained from separate portions of the same extract. The char was triturated in each case : — 1 mgr. AS2O3 gave 0.9 mgr. and 0.9 mgr. Average, 90%. • 5 " " " 2.92 " " 2.95 " " 58.00%. That arsenic would be left in the char was shown as follows : 100 sq. cm. of paper as above, after addition of 5 mgr. AS2O3, were charred, and the finely ground mass extracted first with cold water. 3.11 mgr. were recovered, — 62.2%. The residue was then extracted with 30 c. c. hot water. 1.63 mgr. were recovered, = 32.6%. A third extraction with hot water gave a solution free from arsenic. Total amount recovered, = 4.74 mgr. = 94.8%. The quality of the paper has no effect on the loss : 5 mgr. AsoOs were added to 100 sq. cm. filter paper and treated as before. Two readings from the same cold extract gave 3.51 and 3.46 mgr. respect- ively. Average, 69.9%. Finally, to show the practical completeness of extraction with only 25 to 30 c. c. hot water, 100 sq. cm. of filter paper were charred with different amounts of arsenious oxide. 1 2 3 10 mgr. of arsenious oxide per 100 sq. cm. of paper would corre- spond to 1,000 mgr. per sq. meter, which is an unusual amount. Hence any smaller amounts would be easily extracted. It should be borne in mind that the error is necessarily great in such large amounts, for the deposit which is compared with the standards is so small a propor- tion of the total amount that a slight difference in reading is propor- tionally increased. 4. Reagenfs. — Many chemists prefer to use hydrochloric acid in- stead of sulphuric acid, on account of the quicker action of the former on the zinc. Opinions vary considerably as to the error arising from volatizatiou of zincic chloride, and consequent deposition at the heating Mgr. AS2O3 takea. Mgr, Extract 1st. . As„03 2a. recovered. 3a. Total. Per Cent As^Oj recovered. 5.0 499 0.08 0.0 507 101.4 5.0 4.98 0.07 0.0 5.05 1010 10.1 10 65 0.06 0.0 10.71 106 7 10.0 10.37 0.0 — 10.37 1U3.7 OF ARTS AND SCIENCES. 39 place, when hydrochloric acid is used. I.if\)ig,* very soon after the publication of Marsh's method, called atteniiou to possible error from this source, and several years later Wackeurodert coulirmed Liclii"',s opinion. Beckurts t claims that there is no danger to be feared, but does not show conclusively that this is the case. Brescius § recoof- nizes the chance of error, and recommends passing the gas througli sulphuric acid, if hydrochloric acid is used for generation. The com- mittee of the British Health Association, above referred to, recom- mends the use of hydrochloric acid, without comment on its possible disadvantage. While the volatilization of zincic chloride might not interfere with the detection of arsenic in considerable quantity, yet it is of primary importance in this method for the mirror to be of arsenic alone, and hence capable of comparison with standards. We cannot, therefore, run the risk of the small mirror being contaminated by any impu- rity whatever. For this reason, if for no other, the use of hydro- chloric acid is wholly unadvisable. Then the time gained in using hydrochloric acid is not to be considered in this method, as the use of a constant generator reduces the time of analysis so decidedly. The same desire to hasten the evolution of hydrogen in the ordi- nary Marsh process has led to the addition of stimulants to the action in the shape of platinic chloride or cupric sulphate. Bernstein || has shown that the use of platinic chloride is inadmissible, because arsenic is thereby held back. At the same time, however, he finds no loss when the zinc is platinized or silvered before being used. Headden and Sadler 1[ agree with Bernstein in the case of platinic chloride, and find that cupric sulphate also causes a loss. They also get low re- sults by using a spiral of platinum wire in contact with the zinc. Here, again, the use of the constant generator precludes the neces- sity for increasing the sensitiveness of the zinc. Mohr,** in 1837, called attention to the fact that the residual zinc even after careful washinjr contained arsenic. This would seem to substantiate the statement of Blondlot, quoted above, concerning the solid hydride of arsenic. Fresenius tt ^ilso considers that the effect of nitric acid is due to the formation of a hydride. When we consider the case of the mere detection of arsenic by the Marsh process, where all the arsenic is not necessarily reduced to arseniuretted hydrogen, it * Ann. d. Chem. u. Fharm., XXIII. 217. || Inaug. Dissertation, Rostock, 1870. t Archiv f. Pharm., LXX. 14. 1 Loc. cit. t Ibid., CCXXII. 653. ** Ann. d. Pharm., XXIII. 217. § Dingl. Polyt. Jour., CLXXXVI. 226. tt Loc. cit. 40 PROCEEDINGS OP THE AMERICAN ACADEMY is quite possible that part is left ia the ziuc, especially if the extract be not free from nitric acid. But in this method, where all of a very small amount of arsenic is to be reduced, and the action is pushed as far as possible, the probability is that no arsenic is Jeftin the zinc. I have often, after deposition of the mirror, pushed the action as far as the complete solution of the zinc, and have never observed any in- crease of the mirror at the close. It would seem hardly possible for the solid hydride to remain in that state in a reduciug medium for such a length of time (compare also 2./). A large amount of carbon in the zinc is apt to cause too rapid evolution, but I cannot confirm the statement of Headden and Sadler * that zinc containing carbon causes a loss of arsenic, and that the zinc must in consequence be free from carbon. 5. General Precautions. — a. Means of drying the Hydrogen. — The use of sulphuric a.cid is not allowable. I have found the statement of DragendorfE f to be true, that sulphuric acid absorbs arseniuretted hydrogen. This is assumed byJanowskyJ to be due to decomposi- tion into arsenic and hydrogen, but no proof is given. DragendorfFf quotes the suggestion of Otto,§ that a small amount of fused potassic hydroxide be placed before the fused calcic chloride, in order to absorb any sulphuric acid which might be carried over, it being possible that the acid might act on the calcic chloride, giving hydrochloric acid, which might form arsenious chloride and thus cause loss of arsenic. The potassic hydroxide would also hold back sulphuretted hydrogen. It is well known that potassic hydroxide absorbs antimoniuretted hy- drogen, and it has been recently shown by Kuhn and Saeger,|| as well as by Headden and Sadler,* that arseniuretted hydrogen is also ab- sorbed by it. There is, however, no need of its use as a precaution against either of the contingencies mentioned above. LyttkensIF considers sulphuric acid to be a better drying agent than calcic chloride, and Lenz ** agrees with him, but neither shows that there is no loss of arsenic attending ics use. As to Headden and Sadler's* statement, unsupported by analysis of' the calcic chloride used, that fused calcic chloride holds back arsenic when moist, I have never met with any indication that there was danger of loss from this source. * Loc. cit. II Log. cit. t Ermittehing von Giften, 2te Aufl., p. 336. 1 Loc. cit. X Ber. d. deutsch. chem. Gesell., VI. 216. ** Loc. cit. § Ausmittelung der Gifte. OP ARTS AND SCIENCES. 41 b. Impurities in the Glass of the Deposition Tube. — The errors le- sulting from the presence of lead and arseuic in glass have been fre- quently mentioned. The presence of lead in any hard glass fit for use is scarcely probable. The formation of a mirror from either of these sources would however be detected at the start, and the glass rejected at once. 1 have not found any case of error attributable to impurities in the glass. c. Temperature of the Bediiction Flask. — Dragendorflf* quotes Kolbet as having shown that sulphuretted hydrogen is always formed by the action of sulphuric acid on zinc, if the reaction tem- perature exceeds 30°, and recommends on this account that the flask be cooled. The quotation is misleading. What Kolbe showed, and Fordos and Gclis % called attention to the same point some time before Kolbe, was, that if strong acid be added to the flask to in- cf-ease the action, there was reduction of the acid at the temperature mentioned. With acid diluted with two parts of water no reduction took place. As one would hardly add strong acid to the flask, the danger of formation of sulphuretted hydrogen from mere action of the acid on the zinc is not to be feared. Yet it is necessary to keep the flask cool in some such manner as suggested, if only to prevent too violent action of the acid which may occur from accidental pres- ence of organic matter. d. Necessity of boiling the Char with Water. — The formation of a " sulphur mirror " is often met with, due to the decomposition of sul- phuretted hydrogen at the heating place. Then, too, Brunn § has lately shown that sulphuretted hydrogen and arseniuretted hydrogen form, when heated, hydrogen and arsenious sulphide. The necessity of boiling- the char with water is therefore evident, in order that no sulphur dioxide be left in the extract to be reduced by the nascent hydrogen. e. Beginning of Heating. — If the tube be heated as soon as the hydrogen is lighted, the small amount of oxygen left in the flask causes the formation of water in the deposition tube. This can be avoided, if desired, by waiting a few minutes before setting the lamp under the tube. f Rapidity of Gas flow and Amount of Heat. — In the method of Chittenden and Donaldson it is necessary to guard against too rapid evolution of gas, and the heating surface must be very great in order * Loc. cit., p. 336. t Ann. d. Chem. u. Pharm., OXIX. 174. X Comptes Rendus, XIII. 437. § Ber. d. deutsch. cliera. Gesell., XXII. 3202. 42 PROCEEDINGS OP THE AMERICAN ACADEMY that no arseniuretted hydrogen shall escape decomposition. In this method, the amount of heating surface need not be greater than that given by a good burner, and I have assured myself by direct experi- ment tliat no arsenic escapes under the ordinary conditions vk^hen the size of the mirror is not above O.OG mgr. It is necessary, however, for the stream of gas to be slow and regular. Hence the disadvantage of organic matter in the extract, causing an increased and irregular flow of gas. 6. The following table contains some analyses, taken at random, illustrative of the method. Sq. Cm Grams Gr. Extract Mirror obtained Mgr. AS2O3 Mgr. ASoO;, found taken. Extract. taken. Mgr. As.Oj. found. per Sq. Meter. 1 , . . 100 33.17 33.17 0.030 0.030 3.0 2 , , . 100 32.27 6.00 0.017 0.094 9.4 6.81 0.015 0.083 8.3 3 , , . 100 31.84 5.66 0.045 0.253 25.3 1.90 0.015 0.251 25.1 4 , , . 25 29.69 2.64 0.016 0.179 71.9 2.65 0.017 0.191 76.2 5 . . 111.15 33.66 0.78 0.035 1.510 136.0 0.46 0.020 1.460 132.0 6 . . 25 30.67 1.01 0.040 1.214 485.6 2.08 0.080 1.180 472.0 1 1 • . 12 28.83 0.48 0.030 1.802 1502 0 0.61 0.043 2.032 1693.0 7. Comparison of Results obtained hy the Berzelius- Marsh Process with those obtained by other Methods of Analysis. — In order to test the availability of the process, it became necessary to analyze, by one of the general quantitative methods, some of the papers whicli had been analyzed by the Berzelius-Marsh method. In the analyses given below, the eventual determination was made by an approxi- mately hundredth normal solution of iodine, and, when necessary, titrating back with a sodic thiosulphate solution of corresponding strength. I find a similar method to have been proposed some time ago by Holthof.* Considerable dilliculty was met with at first in finding a suitable method of getting the arsenic from the paper into proper state for titration. A measured piece of paper (100-400 sq. cm.) was treated on a porcelain plate with a strong solution of • Fresen. Zeitschr., XXIII. 378. OP ARTS AND SCIENCES. 43 potassic nitrate, dried on the plate, burued over the plate, and the residue washed ott* into an evaporating disli. The residue was then treated with about 5 c. c. strong sulphuric acid aud evaporated until sulphuric acid fumes appeared. To insure the complete expulsion of nitric and nitrous acids, the mass was boiled down again, after addi- tion of a little water. It was then taken up with hot water, hllerod, and washed with hot water. The filtrate was kept at 60-70° for half an hour, and sulphur dioxide passed through. After boiling the reduced solution in the flask until sulphur dioxide was expelled, it was made alkaline with sodic bicarbonate, cooled, and titrated. The results obtained were far from satisfactory, but the analyses agreed closely in three cases, which are given below. (Papers numbered 111, 395, and 42 in final table.) Next, instead of ignition with potassic nitrate, the paper was treated exactly as in the Berzelius-Marsh method, with nitrosidphuric acid (1-30), taking care to get rid of all nitric and nitrous acids. The extract was reduced at 60-70° by sulphur dioxide, the excess of the latter driven off by boiling, and the cooled solution made alkaline with sodic bicarbonate, and titrated. In one case the arsenic was precipi- tated from the extract by sulphuretted hydrogen, and the arsenious sulphide converted to arsenious acid, and titrated. The amount of time required for this, however, off"set any advantage from it. Al- though by care this method can be employed, yet the details require much time and the chances for error are many. Duplicate analyses agreed closely in two cases which are given below. (Papers num- bered 194 and 155 in final table). The method finally used was adapted from the well known process of Schneider* and Fyfe.f A measured quantity of paper was cut in*o small pieces and placed in a 500 c. c. distilling flask connected with a cooler. Attached to the latter was a receiver with a second tubulus carrying a long tube which served as an air cooler. About 100 c. c. of hydrochloric acid, diluted one half, were added to the flask, and the mixture distilled, slowly, almost to dryness. It was found by trial, that in nearly every case all the arsenic came over in one distillation, and, if not, that a mere trace was left in the residue. The distillate was transferred to a flask, potassic chlorate added, the solution boiled down one half, transferred to an evaporating dish, and evaporated to dryness, with the addition of a few drops of strong sul- phuric acid. The residue was generally white. If dark, from pres- * Jahrb. d. Chem., 1851, p. 630. t Jour. f. prakt. Chetn., L V. 103. 44 PROCEEDINGS OP THE AMERICAN ACADEMY ence of volatile organic matter not destroyed by the potassic chlorate, the addition of a few drops of strong nitric acid and evaporation ex- pelled the organic matter. The residue was then vpashed into a flask with about 50 c. c. water, and reduced and titrated as in the previous cases. The method was tested by the following analyses of filter paper to which known amounts of arsenic were added, 200 sq. cm. of paper beinw used in each case. Mgr. As.Oa C. c. Iodine used. Mgr. AsoOg Per Cent AsjOs taken. 1 c.c. =0.9815 mgr. AS2O3. found. found. la . 16 . . . 5 . . 5 5.1 5.3 5.01 ) 5.20) 102.1 2a . 26 . . . 5 . . 5 5.0 5.2 4.91) 5.10 i 100.1 3a . . . 25 25.1 24.64 ) 24.54 ) 98.4 36 . . . 25 25.0 The residues from the distillations in the last analyses were, after the addition of a few drops of nitric acid, charred with sulphuric acid and " marshed," giving mirrors corresponding to 0.015 mgr. and 0.02 mgr. respectively, showing that a mere trace was left in the flasks. The following papers were analyzed by this method. Number of Paper. 194 . 194 . 406 . 406 . 39 . 39 . 892 . 393 . 393 . 359 . 359 . Sq. Cm. C.c. Iodine u.sed. taken. 1 c.c. =0.!)815 Mgr.ASjO,. . 200 17.20 . 200 17.30 . 400 3.10 . 400 3.00 . 400 2.80 . 400 270 . 380 1.80 . 400 0.38 . 400 0.36 . 400 130 . 400 1.10 Mgr. A.'SjOj found per Sq. Meter. 844.00 849.00 76.07 73.61 68.71 66.25 46.50 9.33 8.83 31.90 27.00 Finally, the following table shows the comparison of the results obtained by the volumetric method with those obtained on the same papers by the Berzelius-Marsh method. The first two columns com- pare the results in milligrams per square meter, and the second two in grains per square yard. Each result is the mean of two, unless specified. OF ARTS AND SCIENCES. 45 'Jumher of Mgr. ASjO;, per Pq. Meter. Grains per Sq Yard. I'aper, Berz. Marsh Volumetric. Berz. Marsh. Volumetric. 393 . . . 8.8 9.1 0.11 0.12 859 .. . 24.0 29.5 0.31 0.38 392 ... . 4(5 8 46.5* 0.60 0.60* 39 . . . 64.9 67.5 0.83 0.88 406 .. . 72.8 74.9 0.94 0.96 Ill ... . 110.4 108.7 1.42 1.39 395t . . . 193.0 210.4 2.47 2.69 42 . . . 4788 421.8 6.13 5.40 194 .. . 842.0 832.7 1 10.78 10.66 1 155 . . . 1527.1 1478.5 19.55 18.93 determination, Four determinations. } 395 was a piece of ' Turkey red ' Before the above described method was worked out, it was thousrht that it would give merely an approximation of the amount of arsenic in wall papers and fabrics, which would allow one, for instance, to pass judgment on the articles from a sanitary standpoint. Not only, as will be seen from the table, does the method give an approximation to the actual amount when ordinarily conducted, but with care it can be made to give results worthy of comparison with other quantita- tive methods. The greatest error occurs naturally in the estimation of large amounts, but in this case an approximation would answer until a more exact determination was called for. The process will, I think, be also found of great value in toxico- logical work, not only as a rapid means of determining the quantity of ar.senic present, and as a check on other methods, but also as the only means of accurately determining the amount when the arsenic is present in minute quantity. In such work the organic matter would not generally be charred, but the arsenic would be extracted by the method of distillation. I hope to investigate the extension of the metliod to toxicological work. The limit of arsenic that I have been able to detect with certainty by the Berzelius-Marsh method is 0 001 mgr. As.jOg or 0.0007 mgr. As. I shall not here take up the much discussed question of the delicacy of this as compared with other methods, but I think it will be agreed that no other method enables one to determine quantitatively such small amounts. In conclusion, I have to thank my assistant, Mr. Charles Walker, very sincerely for his valuable services in most of the analytical work of this paper. United States Naval Academy, Annapolis, Md., February, 1891. 46 PROCEEDINGS OF THE AMERICAN ACADEMY V. CONTRIBUTIONS FROM THE CRYPTOGAMIC LABORATORY OF HARVARD UNIVERSITY. XV. — ON THE STRUCTURE AND DEVELOPMENT OF CHOREOCOLAX POLYSIPHONI^, Reinsch. By Herbert Maule Richards. Presented by W. G. Farlow, May 12, 1891- Heretofore comparatively little has been known concerning the obscure parasitic alga, Choreocolax Pohjsiphonice, Reinsch. Little has been written concerning it, and, so far as I know, only one other of the various forms included in the original description under the same genus has been the suliject of even a note. It was with a hope of addinif something new to our knowledge of it that I undertook the ex- amination of this plant. The observations resulted in the discovery of several interesting facts, which, together with a general description of the alga are embodied in this paper. The literature concerning the genus Choreocolax, besides the origi- nal description, consists of only a few scattered notes. The genus was first described and figured by Reinsch in his " Contributiones ad Alo-olofTJiim et F'unsoloQ-iara." * There he mentions several species parasitic on various alga?, but described only from sterile specimen*. Among them is Choreocolax Pohjsiphonice, growing on PoJysijyhonia fastigiala, the only species that has been reported to have been found on the American coast since Reinsch 's original descriptions. The next notice of these parasites is by Farlow, in his New England Alga?,t where in a foot-note he briefly mentions them. In a paper published later. $ he makes mention of C. pohjsiphonicB^ descril)ing for the first time the tetraspores of this plant. They develop from the terminal cells of the plant, and may be either tripartite or cruciate ; usually the * Pase 61, Plate XLIX. t Pa fie 101. X On some New or impcrfectl}' known Algae of tlie United States. Bull. Torrey Bot. Club, Vol. XVI. No. 1, p. 6, Plate LXXXVII. OF ARTS AND SCIENCES. 47 latter. Recently Reiiike and Schraltz found in one of the species for- merly described as C. inirahilis cystocarpic fruit which enabled them to ascertain its true affinities. They placed it among the Gelidiaceaj, and gave to ft the new generic name of Ilarveyella.* Their reasons for placing it in a new genus were twofold. They rightly thought C mi'rabi/is to be widely different from G. Poh/ssiphonue. Besides this, C Pohjsiplioniai w;\^ described before C. mirabiUs in Keinsch's original account, so that the former is to be regarded as the type of the genus Choreocolax ratlier than the latter. Besides these notes, Choreocolax and Harveyella are scarcely more than mentioned by name in a few other places. Schmitz in his arrangement of the genera of the Flori- defe t places them both among the Gelidiaceae. Batters mentions them also in his List of Berwick Algre, % and reports the collection of tetrasporlc specimens of 0. PulyslphouicE, but has nothing new to add regai'dlng them. I'hus it will be seen that the literature concerning these interesting parasites is very scanty. Choreocolax Polysiphonice grows, as has been already stated, upon Polysiphonla fastigiata, a common alga along the Northern New Eng- land coast. The parasite was sufficiently abundant at Nahant, Mass., to be collected in consideraljle quantities from the middle of Novem- ber to the latter part of the following March. I found it also at Newport, R. I., growing on the Polysiphonia, on the more exposed points. C. Polysiphonice has been collected by Dr. W. A. Setchell at various points along Long Island Sound, though its host is much less common there than farther north. Mr, F, S. Collins has sent me specimens he found at Mount Desert, on the Maine coast, during the month of July, 1890. From all reports, however, it is found no- where in such quantities as at Nahant. Batters § mentions C. Polysi- phonice as having been collected on the British coast at Berwick Bay, but adds that it is rare. The distribution of this alga, then, is fairly wide, and It is probable that wherever its host is found it may also be expected in greater or less quantities. To the naked eye the fronds of Choreocolax appear as small whitish brown dots of varial)le size, situated almost always in the dichoto- mies of the Polysiphonia. In some specimens collected at Nahant, almost every axil except the ones of the very youngest branches was * Alpenflora der west. Ostspp. Deiitsch. Anth,, Kiel, 1880, p 28. t Systemat. Uebersicht der bislier bekannten Gatt. der Florideen. Flora, 1889, Heft V p 489. t Pages 1-26 and 142. § List of Berwick Algae, p. 142. 48 PROCEEDINGS OF THE AMERICAN ACADEMY occupied by a frond of the parasite. Such cases as these, however, are not usual ; ordinarily the host is not so completely covered with the Choreocolax. That the parasite has a deleterious effect on the Polysiphonia is very evident, for the fronds of the latter, on which the Choreocolax is most plentiful, are always paler and less vigorous- looking than the fronds not so affected. The growing tips of the host plant, which usually give every appearance of active growth, are fewer in number, small, and ofteu distorted. Often the terminal branches can be seen to have shrivelled up and rotted away, probably from in- sufficient nourishment. In fronds of Polysiphonia, all stages of this decay may be seen, which varies in intensity according to the amount of Choreocolax on the frond. Some exceptionally strong plants seemed little affected, though considerably attacked by the parasite. On examining specimens of Choreocolax PolysiphonicB with a hand lens, they are seen to be usually light-colored masses varying in shape from a flattened hemisphere to almost a sphere. The surface of most of them is smooth and the outline of the frond is regular (Fig. 1), though some are divided unevenly into several lobes (Fig. 2). The cause of this latter condition will be discussed subsequently. The size of these masses that constitute the external portion of the Choreoco- lax is very variable, ranging from small spots that can scarcely be seen, even with a powerful hand lens, to bodies about 2 mm. in diam- eter. The majority of them, however, are not over 1.5 mm. in diam- eter. The small fronds are flattened, becoming more and more nearly spherical as they increase in size and age. It is only the large fronds that are lol)ed in the manner mentioned, the small ones are always quite regular in slripe. The color of the fronds varies from the translucent whitish color of the young ones, to the dirty reddish appear- ance of the adult specimens. Occasionally the latter are dark brown- ish red, though usually they are not very deeply colored, and may sometimes be almost as white as the young fronds. The larger masses of C. Poll/si phonicB are of a tough cartilaginous consistency, fii-mer and more unyielding than the more gelatinous younger fronds. The ap|)earaiice of C Polj/xiplionice is so uniquf, that, togetlier with its habitat, the collector is easily informed of the identity of this rather insignificant-looking alga. Before describing the growth and development of the frond, it will be best to explain the structure of the adult plant, wliich cannot be well compared with the conditions presented by other algic. A sec- tion through the frond shows it to be composed for the most part of OF ARTS AND SCIENCES. 49 large, somewhat irrefrnlar cells, approaching a spherical or cylindrical shape, which are lilled with coarsely grauular, almost colorless con- tents. The cells are separated, except at narrow points of contact, hy an almost structureless gelatinous intercellular substance (Fig. 8), This gelatinous substance, which contains a large amount of water, is found to a greater or less extent between all the cells of the frond, and gives to it tlie consistency already mentioned. The large cells which make up the interior of the frond are not at all regular in either size or slm()e, some departing so far from the spherical as to become al- most branched, by the excessive growth of some portion of the cell in some other direction than that of the main axis. Tiiey are not ar- ranged in filaments, or in any distinct order, but are joined in a loose parenchymatous network. In the parts of the frond near its point of attachment to the host plant, the cells are seen to be smaller and of a different sha[)e than those of the rest of the plant. They are cylindri- cal, with one axis considerably longer than the others, and are arranged in filaments of greater or less length (Figs. 8, 14). The filaments which may or may not branch, make their way beneath the peripheral siphons of tiie Polysiphonia, encircling its axial row of cells. Usually these filaments extend from the frond of Choreocolax fi'om which they arise, through the length of three or four cells ; cases were observed, however, where they had penetrated as many as ten cells from their starting point. It is by means of these cells that the Choreocolax ob- tains elaborated material from the Polysiphonia, on which it depends, in a large measure at least, for its nourishment. The close connec- tion which the filamentous cells of the parasite have with the cells of the host may be easily demonstrated. A section shrunk in glycerine and stained with Ilofraann's blue, enables one to see with the greatest distinctness threads of protoplasm connecting the cells of the two plants (Fig. 7). Material killed in osmic acid also shows this point to advantage. At the same time it will be seen that the cells of the Choreocolax attach themselves almost wholly to the cells of the central siphon, although sometimes the walls of the peripheral siphon are penetrated and the material afforded by them appropriated by the parasite. C. PoJysiphonicB is then, as Reinsch first maintained, a true vegetable parasite, which depends in the main for its nourishment on the materials provided by its host, exerting upon the latter nothing but a deleterious influence. These filaments were never seen to connect with any of the external swellings except the one from which they arose. Each swelling then represents a separate frond, and there is no continuous growth of filaments which ramify through VOL. XXVI. (n. s. xviii ) 4 50 PROCEEDINGS OF THE AMERICAN ACADEMY the host, rising at places in external prominences for the purpose of producing fruit. In the external portion of the frond, the proportion of" the filamentous cells to the globose ones is very variable. Some- times the former encroach far on the latter, while again the globose cells may entirely exclude the filamentous ones from the external frond. In the same way, the size of both kinds of cells varies a great (leal ; in fact, in all the structures of the frond, even in rare cases in the fruit, a great diversity in appearance may be noticed. Besides the kinds of cells already described, the peripheral cells of the frond present a very characteristic appearance. Nearer the outside the cells are seen to be smaller, more nearly spherical in shape, and more regularly arranged, than in the rest of the frond. The gelatinous intercellular substance is also considerably diminished in quantity in this region. Those cells which form the extreme outer layer are still different in shape from any of the others. They are somewhat elongated and pyriform, the smaller ends being directed inwards (Figs. 5, 8). They constitute the growing part of the frond, as will be described later, in discussing the development of the plant. The contents of these outer cells is more granular than that of the others, and the nuclei are more distinct ; in fact, they present all the appearances characteristic of growing cells. Directly outside of the pyriform cells there is a thick sheath of cellulose, which covers and protects the whole frond (Figs. 8, 17). This outer skin of cel- lulose is not formed by the fusion of the exterior walls of the pe- ripheral cells ; they are only loosely connected with it, and may be detached from it without injury. The cellulose sheath may be dis- sected off in large pieces, when it is seen to be almost structureless, except for the depressions left by the cells which had formerly been attached to it, and for the irregular blotches of brownish red color- ing matter in it. By this means the pigment to which the color of C. PoJijsiphonice is due may be seen to be contained almost entirely in this external covering. Sometimes the peripheral cells may be also tinged with brown, while in one or two cases the whole tissue of the frond partook of this color. The sheath is nothing more than a thickening of the gelatinous intercellular substance on the out- side of the frond. This gelatinous substance is itself but a modifica- tion of a portion of the walls of the cells, and gives a cellulose test with chloriodide of zinc as well as the sheath. As in the case of the other cells of the frond, those near the periphery are subject to some variation. In those fronds where the filamentous cells extend into the external protuberance of the frond, the peripheral cells partake OP ARTS AND SCIRNCES. 51 more or less of the same character. One extremely exaggerated case was noticed, in which the cells around the circumference of the frond were enormously elongated. This frond happened to be tetrasporic, and the tetraspores were also greatly elongated and deformed. The contents of the cells present little of interest. The outer cells are filled with a very highly granular {)rotoplasm, in which the nucleus is very conspicuous. The inner ones contain less of the granular proto- plasm, and the nucleus is rather more indistinct. All the cells of the plant are usually colorless, though sometimes they may be tinged with purple, especially the filamentous ones in closest contact with the Poly- siphonia. Of ordinary starch there is no trace to be found, iodine giv- ing only a deep brown color to the whole of the contents of the cells. Tlie walls of the cells are cellulose, and are not remarkable. One in- teresting feature regarding the cells of C. Polysiphonioe is their great variability in the amount of contained food material. This varies from the condition found in the globose cells of the young plant, which are gorged with protoplasm, to the decidedly contracted and starved appearance presented by the cells of some of the adult plants. This latter condition is particularly to be noticed in the tetrasporic fronds which are almost ripe, the growth of the tetraspores having appar- ently taken all the food material held in reserve by the plant. Figure 8 shows a tetrasporic frond where the cells are somewhat affected, and is a good example of the condition of the average frond. In Figure 14 the cells are seen to be well gorged. The difference in appearance is often so striking as to lead one to think at first sight that plants are not of the same species. The development of the frond I was able to follow with considerable certainty, except in the youngest stages, of which fewer specimens were found. As has been said before, the fronds of C Polysiphonice are almost always found in the dichotomies of the host plant, and the reason for this can be explained by the following circumstances. In the axils of the branches of Pulysiphonia fastigiata there is often col- lected more or less organic or inorganic material, and they are also frequently occupied by some of the many epiphytic algse that grow upon this plant. Besides the natural shelter afforded by the axils, these growths enable the spores to become attached before they are able to make their way through the tissues of their natural host. The spore becomes buried in the organic matter collected in the axil, and in this position begins to germinate. The earliest stage of a develop- ing spore of Choreocolax that was found was one where five cells were to be distinguished. The spore had apparently divided into four 52 PROCREDINGS OF THE AMERICAN ACADEMY parts, and then after some growth one of these four cells had divided au^ain into two, — a process which the other cells were probably about to undergo. There is little to be ?aid regarding this ; what nourishment the young frond reijun-ed to carry on ihe growth was probably taken from the organic material in wliich it was buried. No giowth had yet penetrated the cells of the Polysiphonia. The next stage that was observed in the development of the frond was rather more complicated. The young frond was here composed of a considerable number of cells, which, however, pre- sented as yet no very detinite arrangement (Fig. 3). The gelat- moOs intercellular substance was present to some extent, and a touo-her layer of it already covered the outside surface. The first indications of the growth of the parasite into the Polysiphonia were also seen here. lu the figure (Fig- 3) where this stage is shown, two cells will be seen that have thrust themselves between the cells of the host plant, and have grown some little distance inwards. Even as early as this the young frond of Choreocolax must have obtained some nour- ishment from the Polysiphonia, or it would not have given evidence of 60 much activity of growth. Other than this there is no differentiation in the cells of the frond ; the characteristic ariangement of the ter- minal layer that is developed in the adult frond has not yet made its appearance. Having once forced tlieir way into the tissue of the Polysiphonia, the cells of the Choreocolax grow more rajiidly, and finally come to encircle cells of the host plant. New filaments push their way in, and grow in both directions, between the central and pe- ripheral siphons of the Polysiphonia, attaching themselves chiefly to the former. In the mean time the external portion of the frond has been in- creasing in size. The cells which have pushed themselves into the host plant have, besides fastening themselves to its cells, begun to send out branches u^jwanls, which, by subsequent growth, are to form a part of the external protuberance of the frond. As these cells in- crease in number they press outwards, and, joining with the rapiilly developing external portion {il ready .formed, displace the cells of the host plant in the immediate neighborhood of this growth. Later, the displaced cells of the Polysiphonia are entirely enveloped by the glow- ing Choreocolax. No morbid growth is stimulated in them, however ; they remain entirely passive, and are gradually absorbed by the para- site, so that in adult specimens there is usually no trace of them left. Comparatively early in the development of the frond, before the internal growth of the vegetative filaments has pushed aside the cells OP ARTS AND SCIENCES. 53 of the Polypi phonia to any great extent, it will be seen that the pe- ripheral cells of the external portion of the Ciioreocolax frond present an appearance different from those in the interior. They have become arranged in a regular layer one cell deep over the entire surface of the frond, covering the more or less promiscuous mass of cells be- neath (Fig. 4). The internal cells divide and grow to some extent, but it is fiom the outer, regular layer of cells that the larger part of the exterior portion of the frond is to be developed. The growth inside of the host plant also helps in the formation of this part of the frond, but it is only for a short tune that it can be distinguished from the growth of the peripheral cells just mentioned. As soon as the cells which arise from the inner filaments make their way between the cells of the Polysiphonia to the outside, they become arranged in this reg- ular order and blend with the rest of the frond, becoming indistinouish- able from it. Cases have been seen where, owing to irregular growth, they did not unite ; and then, instead of one laige protuberance, there were many smaller swellings closely bunched together. The surface of the young frond, at first almost a plane, becomes rapidly convex by the more active growth of the cells in the centre of the frond. Finally, the hemispherical or almost spherical mass is formed in which the fruit is later borne. The ordinary method of growth of the frond in distinction to the manner of development in its earlier stages is now to be considered. It is essentially the same after the condition is reached where the peripheral cells are arranged in a distinct layer. Before that time the growth is irregular and unequal. Taking a single peripheral cell and following its growth throughout, we find the method to be as fol- lows. First, the cell is divided into two parts by the formation of a transverse wall. The lowest half of the cell does not divide again, but merely increases in size. The upper cell, on the other hand, is soou divided in two by the foimation of a vertical wall, and these two cells ultimately become four by the division of each into two, in a vertical direction at right angles to the first vertical division (Fig. 6). The four cells thus formed repeat the process of division first described, and by this means the frond is enlarged in all three dimensions. The number of cells into which the outer row of cells may divide vertically is not necessarily four. There may be only three, or sometimes as many as five cells so formed, but the important point is that they are equally distributed, so that, besides extending the frond vertically, they increase it almost equally in both of the other directions of space. Other irregularities are also noticeable ; sometimes the transverse 54 PROCEEDINGS OF THE AMERICAN ACADEMY division fails to take place in some of the cells, and leaves a conspicu- ously long and ill-sliapen cell, which, however, continues its growth like the others. At the time of the most rapid growth the formation of the walls follows so quickly on one another that the newly furmed cells do not reach their full size before they divide again. As a con- sequence of this the outer portion of an actively growing frond is made up of groups of small, closely compacted cells, each group having originated from the division of a single terminal cell (Fig- o). The cells of these groups gradually grow and assume the normal appearance, the outer ones continuing to divide, though more slowly than before, and the inner ones losing themselves in the inner mass of the frond. The activity of the terminal cells almost enin-eiy ceases as the frond approaches maturity, and in the adult frond there is no sign of turtlier growth. The tetrasporic fruit of Choreocolax was, as has been said at the beginning of this paper, first mentioned by Farlow, who gives a brief account of it. The tetrasporic fronds were not uncommon in the material I collected at Nahant, and material was easily found from which to study them. They were no more frequent at one time than at anolhei", during the portion of the year in which I looked for them. Externally, the tetrasporic plants present no characters by which they may be invariably distinguished from sterile specimens. The size of the frond bears very little relation to tlie presence of even mature tetraspores, for it is not at all unusual to find in a very minute frond not a millimeter m diameter tetraspores which are to all ap- pearance perfectly developed. A vertical section of one of the hemispherical swellings shows the tetraspores to be located on the extreme periphery of the frond (Fig. 8). There is no definite limit to the number of tetraspores to be found in a single specimen ; some- times there are very few of them, while at other times there are so many that they have quite crowded the terminal cells out of place. All stages of growth of the tetraspores are present in one frond at the same time, so that their development is not hard to trace. They arise from the enlargement of certain of the terminal cells, but there is no criterion by which it is possible to tell what ones will develop into tetraspores. The first indication is a slight swelling of those cells which are to form the spores (Fig. 9). They rapidly increase in size, the contents of the transforming cells at the same time taking on a more granular appearance than their unmodified neighbors (Fig. 10). After the single cell has attained almost the size of the mature spore, a transverse wall is formed across it (Fig. 11), and is soon followed OF ARTS AND SCIENCKS. 55 by a vertical one, which thus divides the spore into four parts, pro- ducing a very typical cruciate tetraspore (Fig. 12). Sometime-; in tlie two-celled stage the longitudinal division of the distal cell precedes that of the proximal one, giving the spore the appearance of being tripar- tite. The longitudinal wall of the proximal cell is ultimately formed, however, and then the spore presents the usual cruciate aspect. True cases of tripartite spores are to be found, however, where the longi- tudinal division of the lower cell has actually taken place in a direc- tion at right angles to that of the upper one (Fig. 13). The contents of the tetraspores do not differ very markedly from those of the other cells, except that they are more highly granular. Fully adult spores from fresh specimens are usually of a brownish color, and measure ou the average 45.5 X 28 ,u. Some apparently mature ones were much smaller, being only 25 X 18 fi. The curious case of distortion of the tetraspores where they were so enormously elongated has already been noted; they measured about SO fjc long by 15-20 /ut broad. The tetra- spores make their way out by the breaking away of the outer cellulose skin, which becomes very weak as the frond increases in age, and may then be easily ruptured by slight pressure. Attempts were made to germinate the tetraspores, but all proved unsuccessful. It may have been that the conditions were unfavorable, or perhaps that the tetra- spores rest some time before germinating Besides the tetraspores, no one, so far as I am aware, has ever givea an account of the reproductive organs of C/i9reocolax Pubjsiphonice.. When it was found that the non -sexual reproduction of C. Pohpi- phonice was by means of tetraspores, this alga could be classed with much more certainty among the Florideaj, and it was reasonable to suppose that cystocarps might be found on further search. It was, indeed, with this possibility in view that I was led to investigate C. Polysiphoni(E. In all of the material collected during the fall and early winter of 1890, nothing but the tetrasporic fruit was no- ticed. Some specimens obtained at Nahant, on December 11th, proved more interesting. In a few of the fronds, structures were found which at once appeared could be nothing else than cystocarps. These observations were corroborated later, and more cystocarpic material was procured, which enabled me to make out definitely the structure of the fruit, and to some degree also its development. It was not until much later that the trichogynes were first seen, and as it was not possible to trace out the com|)lete course of development from the trichogyne to the ripe cystocarp, it will be best to begm with a description of the latter. 56 PROCEEDINGS OP THE AMERICAN ACADEMY The ripe cystocarpic fronds can usually be distinguished from the others by the fact that they are more or less lobed, each lobe con- taining a single cystocarp (Fig. 2). This is not a very reliable dis- tinction, however, for when a frond contains only one cystocarp, which not infrequently happens, its shape closely resembles that oF a tetrasporic or sterile frond. On the other hand, the other fronds are sometimes lobed, from abnormal conditions of growth, in manner not unlike the cystocarpic specimens. Thus it will be seen that it is im- possible to tell certainly, without microscopic examination, in what state any particular frond may be. In the majority of the cysto- carpic fronds there are several — from two to five — cystocarps pres- ent, though a considerably larger one is, as has already been said, often found in place of many. Although it might seem to indicate, from the division of the frond into lobes, that the cystocarps are in this instance external, closer search shows that this cannot be considered to be the fact ; the growth of so large a body as the cystocarp in so small a frond naturally neces- sitates the condition found, and even as it is the lobes represent more than merely the couceptacles themselves, for the ordinary tissues of the frond go in part to make them up (Fig. 14). The cystocarps are ovoid to almost spherical in shape, with the smaller end external. They may be readily separated from the surrounding cells by a little careful dissection, when they appear as small white dots, scarcely visible to the naked ey%. From a vertical section of a cystocarp a very good idea of its structure may be obtained (Fig. 14). The cells surrounding the cavity in which the spores are borne are seen to be more closely compacted than those of the rest of the frond, and of a different shape. This closely compacted wall consists chiefly of st'erile cells, with which on the inner surface the spore-bearing cells are intricately associated. The conceptacular wall is always thickest at the inner end of the cystocarp, gradually becoming thinner as it approaches the outside, being represented in the region of the carpo- stome by a single layer of cells. The carpostoine, which has always been seen in these cystocarps, consists of a small circular opening throush the cellulose covering of the frond. It is situated at the small end of the cystocarp, where it approaches nearest the exterior of the frond. The cells which compose the wall of the cystocarp, when viewed in vertical section, are seen to be either spindle-shaped or very thin and almost fiiliform (Fig. 14). This is due to the collection of the protoplasm of the cell at the centre, leaving but a small amount at the extremities. Other aspects show the cells OP ARTS AND SCIENCES. 57 to be flat or tabular, with often a very irregular outline. They may then, in a geiil-ral way, be said to be of a lenticular shape, although they do not often approach the circular in form. They always lie with their flattened faces presented to the interior surface of the cystocarp, and consequently a vertical section, if it be not tan- gential, always exhibits the cells in their fusiform appearance. The amount of gelatinous intercellular substance between these cells is much smaller than is found elsewhere, except perhaps in the growing terminal part of the frond. It is on cells very like the ones just described, {)erhaps somewhat thicker in proportion to their other dimensions, that the carpospores are borne. The cells from which the spores arise lie directly inside of the conceptacular wall, and are, as has previously been said, closely in- terwoven with it. They have no peculiarities in shape or structure which distinguish them from the sterile cells forming the wall. They do not, however, like the latler, always present their flat faces inwards, but are more irregularly arranged. The spores are borne from the ends or angles of the cells, or from protuberances arising from their flat surface (Figs. 15, 16). The entire surface of the cavity is lined with the spores, except in the immediate neigh- borhood of the carpostome (Fig. 14). They are not arranged in chains, but are borne singly. In shape they are irregularly ovoid or pyri- form, with tap»ring and sometimes acute apices. A small basal cell is always found between the spores and the spore-bearing cells proper. From the basal cell there arises a sterile filament that always appears to be present (Figs. 15, 16). This paraphysis is usually somewhat longer than the spore, but as it arises from the side, and not the top, of the basal cell, it extends out no farther. Its contents are almost hya- line, in contrast with those of the spore. In the mature cystocarp the spores are directed inwards, and somewhat upwards, towards the carpo- stome, almost completely filling the cavity. The ripe spores are highly granular, somewhat darker in color than the other tissues of the plant, and have distinct nuclei. That the cystocarps examined were ripe, there can be no doubt. Some specimens collected on December 23d were placed uninjured in sea-water on a slide ; when they were exam- ined, some fifteen hours afterwards, many spores were found to have made their way out of the cystocarp, and to be lying loose in the sur- rounding water. Attempts were made to germinate the carpospores as well as the tetraspores, all of which failed, owing, no doubt, to the same causes suggested in the case of the tetraspores. Before leaving the subject of the cystocarps, it is necessary to de- 58 PROCEEDINGS OP THE AMERICAN ACADEMY scribe a peculiar condition of the frond that was always found in cysto- carpic plants. In the peripheral portion of such a frotid, instead of finding the usual elongated pyriform cells, one sees a large number of small spherical ones arranged in distinct chains (Figs. 14, 17). The transition between the two conditions can be traced without much difficulty, in fronds where the cystocarps have just commenced to develop. It is seen that, when the main part of tlie growth of the plant has taken place, the terminal cells, instead of dividing as fre- quently vertically, divide more frequently transversely, forming short chains of small cells, which afterwards increase considerably in size. Frequently even in the adult fronds the chains of terminal cells are seen to give place to the ones of the usual form at the base of the frond (Fig. 14). There is nothing remarkable in the appearance of the walls or the contents of these chains of cells that would lead one to suppose that they have any special function. The condition of the cells seems merely to be that which is very often seen in the cystocarps of other alg^, where the outer wall of the conceptacle consists of a great number of small cells in chains. In the case of C. Polysipho- nice, the frond is so small in proportion to the cystocarp that the whole of it becomes modified in this change. It was not until late in the course of ray examination of C. Poly- siphonice that I discovered the trichogyne and its accompanying organs. The fronds containing them were searched for diligently, but only a few plants were found that were in the right condition. It was undoubtedly too late in the season when I first found the trichogynes to expect them to be common, for then almost all of the cystocarpic fronds were mature. In spite of this, however, sufficient material was found to make out the structure of the undeveloped procarp, and to some extent to follow its development. The trichogyne forms the distal extremity of an irregular chain of cells, which are often con- nected into a more distinct filament than is common with the interior cells of C PoJysij)honice. It represents and is developed out of one of a number of cells, which at first were ordinary terminal cells like the others of the frond. The terminal cells arising from the same basal cell as the developing trichogyne and trichophoric apparatus apparently cease all growth after the latter begin to develop, and soon become buried in the frond. Oiie or more of them often remain, as in Figures 18, 19, and 21, c. Tlie remaining cell which is to continue the growth divides, the terminal cell developing into the trichogyne, the lower ones forming the trichophoric apparatus. When fully developed, the trichogyne is very long. The cell itself is about 2-2.5 ft iu diameter, OP ARTS AND SCIENCES. 59 and often 115 yu, long. The diameter of the trichogyne is much greater, however, by reason of a very thick apparently gelatinous sheath of high refrangibility. The whole trichogyne, including sheuth, measures 5-6 fx broad. At the apex the sheath becomes much thin- ner, and consequently does not materially increase the length of the trichogyne. The cell of the trichogyne is often irregular in diameter, frequently exhibiting considerable swellings, which however are not followed by similar swellings in the sheath (Fig. 19). At the base the cell broadens out where it joins the trichophoric apparatus (Figs. 18, 19). The trichogyne usually pierces the cellulose covering without bending or other distortion, and extends for a considerable distance be- yond the frond. Not infrequently, however, the trichogynes instead of immediately making their way through the sheath, become bent when they come in contact with its lower surface. They often grow for considerable time between the outer layer of terminal cells and the under surface of the cellulose covering before they succeed in breaking through it. Below the trichogyne are three trichophoric cells. They are usually somewhat wedge-shaped cells, of variable size. The order of their formation I do not know. The one next to the trichogyne is generally smaller than the others, and is set at somewhat of an angle to them (a, Figs. 18, 19). In other words, the axis of the procarp curves here. The other two cells of the trichophore lie side by side, and are usually of about the same size (a', a", Figs. 18, 19). The tri- chophoric cells are of a decided brownish color, and their contents are quite clear. The cell b (Figs. 18, 19), on which the lowest of the tri- chophoric cells rest, presents very much the appearance of the cells of the rest of the frond. The cells c (Fig. 18, 19, 21) I take to be un- developed terminal cells, previously referred to in the development of the trichogyne. The cell b, and apparently in some cases a number of the cells beneath it, are probably the carpogenic cells of the procarp. In all the cases seen it did not seem that the trichophore played any part in the formation of the cystocarp. In Figure 20 the cells a, a', a", probably correspond to the trichophoric cells indicated by the same letters in the other figures. If this is the case, the fate of the tricho- phoric cells can be accounted for. After fertilization they shrivel up and finally disappear, without developing further. In the same fig- ure tr indicates probable remnants of the trichogyne, while the cells b', h" , and h'" also are the outcome of the division of the original carpogenic cell b (Figs. 18, 19). Some cases were observed where the growth of the cystocarp seemed to originate even farther down in the tissue of the plant, but nothing definite was established concerning 60 PROCEEDINGS OP THE AMERICAN ACADEMY this. After the stage represented in Figure 20, the development be- comes hard to trace. In the next one figured (Fig. 21), the cells b, b', b", etc., are probably to be compared with those indicated by the same let- ters in the previous figure, while c is an undeveloped terminal cell before noticed. The cells b', b", etc., have increased enormously in size and in number as well. They have given rise to many smaller cells the fate of which seems probably to be the formation of the cystocarp proper. The course of growth becomes now even more obscure. The cells in the neighborhood of the young cystocarp be- come complicated in the growth of the wall, and effectually hide the changes which at this time are affecting the cystocarp proper. It seems probable from what was seen that the cells b, b', b", etc., start up another growth, and, budding outwards, form, with the surrounding cells whose growth has been already mentioned, the wall of the tabu- lar cells found in the ripe fruit. Tiie small cells first formed from the activity of the cells b, b', b", etc., are enclosed in this mass, and develop into the spores and spore-bearing cells. It is to be regretted that the material was so scanty for this work. A search will be made next fall earlier in the season, to find if possible more trichogyne-bearing fronds, and an attempt made to determine more definitely the development of the fruit. Up to the present time the relationship of C. Polysiphonice to the rest of the Florideae has been very uncertain. Heretofore, it will be remembered, nothing but tetraspores has been described. In his list of the Florideae, Schmitz places it among the Gelidiacese with Bin- derella in the sub-order Binderelleae. His reason for placing it in the Gelidiaceae is presumably on account of its general likeness to Harveyella mirahilis (Reiusch), Schmitz and Reinke, which in the same list is placed in a separate sub-order, Harveyellese, next to the sub-order to which Choreocolax is assigned. Others have followed him in this arrangement, but no one, so far as I know, has placed C. Polysiphonice in any other order of the Floridese. In view of what has been described in this paper regarding the structure of the cystocarp, this can scarcely be considered to be its true place. The cystocarp of Harveyella is likened by Schmitz, in his note in Reinke's " Algen Flora der westlichen Ostsee," to that of Caulocanthus, a resemblance which would place Harveyella without doubt among the GelidiaceiB. It certainly seems impossible to consider the cystocarp of Choreocolax Polysiphonice as closely related to that found in the GelidiaceaB. It lacks the most essential feature of similarity to the Gelidiaceoe in the absence of the complicated axial placenta which characterizes that OF ARTS AND SCIENCES. 61 order. The carpospores of Ohoreocolax Polysiphonice, it will be re- membered, were found to be borne singly all over the inner surface of the cavity, on cells or filaments projecting into its cavity. This fundamental difference in structure certainly makes it impossible to consider C. Polyslphonice one of the Gelidiaceae. The condition of the cystocarp approaches far more nearly that found in the Chajtangi- acese than in any other order. I examined cvstocarpic specimens of Chcetangium ornaticm, in order to compare them with those of Clio- ViOcolax Polysiphonice. Although the cystocarp of Chaetangium is somewhat more complicated than that of Choreocolax, there is a great resemblance between the two. The spores are borne in Chjetungium on filaments projecting into the cavity of the cystocarp, much in the same way as was observed in Choreocolax Polysiphonice. The fila- ments in Chaetangium protrude farther into tl>e cystocarpic cavity than in the other form, but that is not an essential difference. The spores themselves resemble those of Choreocolax Polysiphonice in shape, but are much smaller. Galaxaura was also examined, and an even closer resemblatice seen. The cystocarp of Galaxaura is simple, like that of Choreocolax Polysiphonice, and the spores are larger than those of Chaetangium. The dissmiilarity of the fronds found in the various genera of the Clia^tangiaceic from that of Choreocolax Poly- siphonice can only be considered as a specific distinction, and not as a valid objection against placing the plant in question in this order. The fronds of the forms already included under the Chaetangiaceae are so dissimilar that there cannot be said to be any typical frond in this order. Before closing, it seems well to say a few words regarding the methods of work employed in investigating this rather unmanageable alga. The immense amount of gelatinous matter in the frond was of course a most ditlicult thing to preserve properly. Ordinary methods of killing with corrosive sublimate and chromic and picric acids were tried, and yielded partially satisfactory results. The material thus killed was useful for maceration and dissection. All these reagents, however, caused a great amount of shrinkage in the tissues of the plant. Many other methods that seemed suitable were tried with a hope of finding some reagent that would kill the cells and leave them in a natural condition. Nothing was discovered, however, that served this purpose ; in fact, it was found that just as soon as the cells of the plant died, however cautiously they may have been killed, just so soon did they shrink and contract into the grotesque shapes one finds them in. JMore than this nothing could be found that would swell up the 62 PROCEEDINGS OP THE AMERICAN ACADEMY contracted tissues to their lifelike appearance. Potassic hydrate caused a general disintegration, and the various acids, unless used so strong as to dissolve the whole mass, produced but little effect. For this reason, the greater part of the work was done with sections cut between pith, in sea-water, with a razor. Nothing else than sea- water was allowed to touch them, and by this means sections were obtamed that would keep alive three or four hours, after which time they gradually contracted as they died. Almost all the drawings were made from these fresh sections, and whatever work was done with dried or alcoholic material was verified by means of them. Many false appearances are given by the immense contraction which takes place when the frond dies, and it was for this reason that these pre- cautions were taken. In order to have a supply of fresh material con- stantly on hand, I made excursions as often as possible during the wmter to Nahant, where Choreocolax Polysiphoniai is fairly abundant. The Choreocolax and the Polysiphonia on which it grew could with care be kept for a considerable time, either in sea-water or moist in a tin box. The latter way is perhaps the better, and if the box is kept moderately cool, and has been well sterilized before putting the material in it, the Choreocolax will keep alive from ten days to two weeks. In conclusion, I wish to thank all those who have kindly helped me in my work. To Professor W. G. Farlow I am especially obliged, and to Dr. W. A. Setchell I am also indebted for several valuable suggestions. Crtptogamic Laboratory, Harvard University, March, 1891. >^ 2. 10. 14. i/^^^Trn-..,. 13. H^ n.i ■-tl. m Mm m 10. 15. a 5 <~ H^ 0 _■■) n /O'^j VM\ ]U w- OF ARTS AND SCIENCES. 63 EXPLANATION OF FIGURES. Fip. 1. Typical form of frond. X l\v about 3 diam. " 2. Lobed cystocarpic frond. X by about o diam. " 3. Very young frond just making its way into tbe Polysiphonia. X 180. " 4. Somewbat older stage, where cells are nnorc regularly arranged. X 200. '■ 5. Terminal cells of growing frond, from macerntion preparation. X 350. " 0. Diagrams showing method of growtli of terminal cells. " 7. From a preparation slirunk in glycerine to show connection of cells of parasite with host. X 150. " 8. Vertical section of tetrasporic frond. X 150. " 9, 10, and 11. Three stages in the development of tetraspore. X 350. " 12. Adult cruciate tetraspore. X 350. " 13. Adult tripartite tetraspore. X 350. " 14. Vertical section of cystocarpic frond. X 150. " 15 and K!. Sliowing the two ways in which the carposporcs are borne. X 350. " 17. Portion of periphery of cystocarpic frond, showing chains of cells. X 350. " 18. Young procarp. X 600. tr, trichogyne. a, a,' a," trichophoric cells. b, carpogenio cell. c, undeveloped terminal cell. " 19. Older procarp with fully developed trichogyne. X 600. References as in Figure 18. " 20. Procarp in which carpogenic cells have begun to develop. References as in Figure 18, except b', b", b'", which are the cells newly formed from tlie carpogenic cell b. X 600. " 21. More advanced stage in development. References as before, b"", b^, etc., are the result of further proliferation of cells b, b', etc. X 600. Figures 1 and 2 were drawn free hand. The others were all drawn with the camera, except Figure 6, which is merely a diagram. Figures 18 to 21 have been reduced one third from the original drawings. All the drawings are from fresh material except Figures 0 and 7, the latter of which was drawn from a section shrunk in glycerine. 64 PROCEEDINGS OP THE AMERICAN ACADEMY VI. ON THE MATRICAL EQUATION 4>n = Clcf>. By Henry Taber, Clark University. Presented by Prof. W. B. Story, May 26, 1891. For a given matrix, fi, the most general matrix may be found by the consideration of the canoni- cal form of the matrix O. If the distinct latent roots of Q are gi, an m-tuple latent root, ^2? an n-tuple latent root, etc., the canonical form of fl is w ^ ixT^, where o=C Oi ^■2 in which all the constituents are zero except those in the square arrays 61, 62, etc., which correspond, respectively, to the latent roots (ji, g^i etc., and are severally of order equal to the multiplicity of the latent root to which they correspond; and if the characteristics of the latent root gi are {in ; p, ^, r, — s, t), then OP ARTS AND SCIENCES. 65 '1 — / * — — . ,, ...rf\.— . , »__ ^ />• .'/lO . 0 <7i. 0 0 . .0 .0 .6 1 0 . 0 1 0 0.. .0 0 '. 0 f 'A .71 0 .. 0 n ^12 • • 621 622 • • •0-29 C'li Ci2 . • C21 Coo . . ■Cir etc. etc. etc. etc. Opi Up, . ..Opp bpi bpo . ■ bpq C,ii Cp2 • .C^r On 012 • a.2i 022 . hi hi • box bn~2 . . .b,r a„ a,2 . .a„ 6,1 652 . . V «11 «12 • CLry O22 ■ .Ajr . .a.-r Ori 0(2 • ■ -flrr the a's, 5's, c"s, etc. being arbitrary ; the mode of filling up the re- maining squares along the principal diagonal and the rectangles above the principal diagonal is obvious. A similar expression obtains for r}2, etc. WoECESTEB, May 26, 1891. OF ARTS AND SCIENCES. 67 VII. CONTRIBUTIONS FROM THE CHEMICAL LABORATORY OF HARVARD COLLEGE. ON THE PRODUCTS OBTAINED BY THE ACTION OF NITRIC ACID UPON BROMTRINITROPllE- NYLMALONIC ESTER. By C. LoRiNG Jackson and W. B. Bentley. Presented May 13, 1891. Our attention was first called to this subject by the appearance of a vivid red color, when common strong nitric acid was used to set free bromtrinitrophenylmalonic ester from its sodium salt, whereas no such color was observed if hydrochloric or sulphuric acid was used in place of nitric. Upon studying this action, we soon found that a new compound was formed, which could also be obtained from the free bromtrinitrophe- nylmalonic ester by treating it with hot nitric acid for a few minutes,* or for some hours in the cold ; the free ester therefore acts with nitric acid less readily than its salt, for with that the color appeared immediately. The further study of this compound (which was obtained in colorless prisms) proved that its formula was C6HBr(N02)3CN02(COOC2Hj2 ; that is, that it had been formed from the bromtrinitrophenylmalo- nic ester by replacing one of its atoms of hydrogen by the group N02. We have also obtained the following similar derivatives : from the bromdinitrophenylmalonic ester C6H2Br(N02)2CN02(COOC2H5)2, melting point 111°, and from the trinitrophenylenedimalonic ester CeH(N02)3CN02(COOC2H,)2CH(COOC2H5)2, also melting at 111°, so that the reaction seems to be a general one. The position of the group NO2 introduced by the action of nitric acid was determined by the stuly of the acidity of these compounds. In the bromtrinitrophe- nylmalonic ester C6HBr(N02)3CH(COOC2H5)2 there are only two atoms of hydrogen, one on the benzol ring, the other on the side- chain ; if the first of these were replaced by NO2, the effect, if any * A preliminary account of this substance forms part of a paper by G. D. Moore, and one of us (these Proceedings, XXIV. 265). The statements made there are superseded by this paper. 68 PROCEEDINGS OP THE AMERICAN ACADEMY would be to increase the acidity of the compound ; whereas if the atom of hydrogen on tlie side-chain were replaced, the substance would cease to show acid properties, as the NO2 would have taken the place of the only atom of hydrogen which can be replaced by a metal. Upon studying the behavior of the new compound with alka- line reagents, we found that none of them affected it in aqueous solu- tion, and that it was acted on only by sodic hydrate or ethylate in alcoholic solution, thus showing a marked contrast to the behavior of bromtrinitrophenylmalonic ester, which is acid enough to decompose sodic carbonate in aqueous solution. As just stated, sodic hydrate or ethylate does act upon our substance, but the red solution formed by the sodic ethylate was proved to contain sodic nitrite, and there- fore the formation of the red salt was preceded by the removal of the group NO2, which proves that this radical has replaced the hydrogen of the side-chain, as represented in the formula given above. This result was confirmed by the study of the compound CcH2Br(N02)2CN02(COOC2Hg)2, which proved even less suscepti- ble to the action of alkalies than the corresponding trinitro com- pound. The replacement of the hydrogen in the malonic ester radical is not at all strange, since Franchimont and Klobbie * have found that nitric acid converts malonic ester into nitromalonic ester. To determine whether our substances were nitro compounds, that is, with the radical NO2 attached to the side-chain by its nitrogen, or nitrites, that is, with the radical attached by one of its atoms of oxy- gen, we considered in the first place the further action of nitric acid upon the compound C,;HBr(N02)3CN02(COOC2H5)2, which converted it after warming for three hours into C6llBr(N02)3C01I( 0000,115)2, that is, the bromtrinitrotartronic ester; the reaction seemed to run smoothly, and the yield was 40 per cent of the theory. A similar change was produced by heat; when exposed to a temperature of 124°-126°, the substance melted, turned blood- red, and gave off a great deal of gas, with a striking increase in volume at the same time.t A study of the gases showed that a part of the substance « Ber. d. eh. G., XXIII., R. 62 from Rec. Trav. Chitn., VIII. 283. For a dis- cussion of tiie efTict of different radicals upon tlie action of nitric acid on fat substances, see Franchimont, Per. d. ch. G., XX., R. G89 from Rec. Trav. Cliim., VI. 224, and Ber. d ch. G., XXIII., R. 64 from Rec. Trav. Cliim., Vlll. 307. t Tliese phenomena shown by our substance in melting, as well as many of its other properties, are very similar to those observed by Gabriel in the cases of the benzylidenplithaliddinitrite, Ber. d. ch. G., XVIII. 1255, and tlie etliin- diphtlialiiidinitrite, Her. d. ch. G., XIX. 837, which confirms the view that our substance is a nitrite. OF ARTS AND SCIEN'CES. 69 had undergone complete decomposition, as they contained bromine ; the residue, however, furnished a considerable amount of the substi- tuted tartronic ester mentioned above. The action therefore has a certain resemblance to the conversion of the nitrate of tartaric acid into tartronic acid. These easy conversions of the compound con- taining the group NO.2 into the corresponding tartronic ester can be best explained on the theory that this group is attached to the side- chain by oxygen, but cannot be considered as a strict proof of this {loint. Accordingly we have reduced with tin and hydrochloric acid the substance CeIl2Br(N02)2CNOo(COOC2ll5)2 (selected because it can be obtained more easdy than the trinitro compound), and have found that it yields amraouic chioride and a substance having tlie for- mula C6H3NH,(CHOHCONH)HCl, that is, the chloride of amidoxy- oxindol ; there can be no doubt, therefore, that the group NO2 is attached to the side-chain by one of its atoms of oxygen, and the substances are nitrites and not nitromalonic esters. One of the most striking properties of the nitrite of bromtrinitro- phenylmalonic ester is its slight stability. As has been already stated, it decomposes rapidly, with change of color and evolution of gas, at 124°-12G°, but it is not necessary to heat to this temperature to bring about the decomposition, as it also takes place slowly at 100°, and partially even at 70°. Boiling with alcohol decomposes the substance completely, and boiling water produces a similar but less complete change. The nitrites of the corresponding dinitro compound and of the trinitrophenylenedimalonic ester are much more stable. As has been stated above, the nitrite of bromtrinitrophenylmalonic ester, if warmed for three hours with strong nitric acid, or heated alone to its decomposition point, yields a product in which the radical of the nitrous acid has been replaced by hydroxyl, and which, is there- fore bromtrinitrophenyltartronic ester ; this substance melts at 156°, and possesses marked acid properties. It is not necessary, however, to make it from the nitrite, as the bromtrinitrophenylmalonic ester is converted directly into it by warming for three hours with nitric acid. This therefore is a case of the direct oxidation of a tertiary liydrogen to hydroxyl,* and, as we have succeeded in isolating the intermediate product, our work throws some light on the mechanism of the reaction, showing that it consists in the case of nitric acid of the formation of a nitrite, followed by its saponification to the hydroxyl compound. * Richard Meyer, Ann. Cliem , CCXIX. 234, CCXX 1 ; J. Bredt, Ber. d. ch. G., XIV. 1780. 70 PROCEEDINGS OF THE AMERICAN ACADEMY C6H(C6H5NH)(N02)3CNO,(COOC2H5)2, the nitrite of anilido- trinitropheiiylauiloiiic ester, was obtained by the action of aniline on the corresponding bromine compound ; it forms red rhombohedra, which melt at 119°, decomposiug at one degree higher, and shows marked acid properties, which must be due to the effect of the three nitro groups upou the hydrogen attached to the nitrogen in the anilido group, since, as has been already stated, the corresponding bromine compound forms no salts. This conclusion was confirmed by the study of the anilidotrinitrotoluol, which contains no other hydrogen capable of being replaced by a basic radical, and yet formed the sodium salt CGCH3H(C6H5NNa)(N02)3. As was to be expected, however, this toluol compound was not so acid as the nitrite of anilidotrinitro- phenylmalonic ester, which contains such a very negative radical in place of the methyl. The anilidotrinitrotartronic ester was also made from the corre- sponding bromine compound, and was obtained in two modifications ; one formed at higher temperatures appeared in orange-red prisms melting at 143°, the other in rounded masses of yellow needles melt- ing at about 122°. Both show the same percentage composition on analysis, and one is easily converted into the other ; the yellow into the red by allowing the alcoholic solution to crystallize at about 60°, by heating the solid a little below its melting point, or by boiling it with water ; the red into the yellow by solution in glacial acetic acid and precipitation with water. Unfortunately we have not succeeded in determining the molecular weights of these substances, as we have not yet found a solvent that gives satisfactor}' results with Raoult's method. The work on these substances will be continued in this laboratory, especially with a view to determining whether the nitrogen is the cause of the isomerism (if they are not polymeres), but we may say now that this does not seem very probable to us on account of the striking resemblance in properties * between our two substances and the two forms of benzilorthocarbonic acid described by Graebe.f The anilidotrinitrophcnyhartronic ester forms salts with one atom, C6H(C6H5NH)(N02)3COM(COOC2H5)2, or with two atoms of uni- valent basic radicals, CeH(CcH5NM)(NO,)3COM(COOCoH5)2. To our great surprise, the disodic salt was formed even when the ester was present in large excess. This tartronic ester is much more strongly acid than the anilidotrinitrophenylmalonic ester (melting * It is a curious fact that even the melting points are nearly the same. t Ber. d. ch. G., X.XIH. 1344. OP ARTS AND SCIENCES. 71 point 133°), a fact which confirms the formula assigned to it. We may add, that we have failed in all our attempts to convert anilido- trinitrophenylmalonic ester into its nitrite, or the corresponding tar- tronic ester, by the action of nitric acid. We have also tried without success to convert the bromdinitrophe- nylmalonic ester into diiiitrophenylenedimalonic ester by the further action of sodium malonic ester. The remainder of the paper contains the experimental details of the work. Preparation of Tribromtrinitrobenzol. The experience gained in making tribromtrinitrobenzol for the work described in this paper has led us to introduce into the process given in previous papers * from this Laboratory some improvements, which are described in this section. To the preparation of tribromaniline we have nothing to add, but in the conversion of it into tribrombenzol we have found it best to proceed as follows: — 50 gr. of dry tribromaniline were dissolved with the aid of heat in 300 c. c. of alcohol containinsr 75 c. c. of benzol to increase its solvent power, and 20 c. c. of common strong sulphuric acid added to the hot solution from a pipette. If this formed a precipitate, it was dissolved by longer heating, more of the solvents being added if necessary. 20 gr. of finely powdered sodic nitrite were then sifted into the hot liquid, as rapidly as the violence of the action would permit ; after which the whole was heated until the effervescence had ceased, and, after standing over night, filtered, washed, and dried, when the product could be treated directly with nitric acid to make the tribromdinitrobenzol in the manner already described.! The yield of tribrombenzol was good, 42-44 gr. from the 50 gr. of tribromaniline. The filtrate and washings contained so little of the organic substance that it was not worth while to work them up. In the conversion of this body into tribromtrinitrol)enzol we have found the cause of the much larger yield obtained by Dr. Moore X than by Dr. Wing.§ This does not depend so much on the larger proportion of fuming sulphuric acid used, as on the rapidity with which the boiling is carried on. To get the best yield we found it necessary to raise the mix- ture to the boiling point as quickly as possible, and to keep it boiling violently during the whole of the three hours. Under these conditions the yields varied from 8 to 10 gr. of tribromtrinitrobenzol from 20 gr. * These Proceedings, XXIII. 139, XXIV. 258, 273. t Ibid., XXIV. 274. X Ibid., XXIV. 268. § Ibid., XXIII. 140. 72 PROCEEDINGS OF THE AMERICAN ACADEMY of tribromdiuitrol)enzol, that is, 36 to 45 per cent of the theoretical, if both the nitric and fuming sulphuric acids were of the best quality. To prove that this violent boiling was the cause of the large yields, in one experiment the mixture was allowed to stand in the cold for a week, and then kept barely at the boiling point for seven hours, when it yielded only 18 per cent of the tribromtriuitrobenzol. The Nitrite of Brointrinitrophenylmalonic J^sle?', C6HBr(N02)3CN02(COOC2H5)2. This substance was prepared as follows : — 3 gr. of bromtrinitro- phenyhnalouic ester* were mixed with about 10 gr. of nitric acid, specific gravity 1.38, and warmed in a dish for three minutes on the water bath, when both the undissolved organic substance and the acid became intense blood-red ; the mixture was then allowed to cool, the acid liquid poured off, and the solid residue warmed once more for two minutes with about the same volume of fresh acid. After this, the acid was decanted off, and the solid crystalline product washed with water till free from nitric acid, which changed it from a deep blood-red to a pale reddish-white color. The puritication of this sub- stance gave us much trouble at first on account of its slight stability, since even the short warming necessary to dissolve it in alcohol was sufficient to decom])ose it partially, while longer heating wTth alcohol produced complete decomposition ; but at last we obtained satisfactory results from the following method. The crude substance, after the thorough washing with water mentioned above, was dissolved in warm chloroform, in which it is freely soluble, but even with this solvent care must be taken to warm the mixture for as short a time as pos- sible; it was advisable, therefore, to achieve the solution rather by the use of a larger qu ;ntity of eliloroform than by using a smaller volume at a higher temperature. This chloroform solution was then diluted with about its own volume of common alcohol, when the substance graduRlly separted in well formed white prisms, and was obtained pure after two of these crystallizations. It must be dritd in vacuo, as it decomposes on the water bath ; in fact, even the temperature of a steam radiator (about 70°) was sufiicient to bring about a partial decomposition. A small additional amount of this substance could be obtained from the rei! nitric acid mother lifjuors formed in its preparation, either by adding water or by evaporating them to dryness ; but tliis (luantity is * Mellingut 104°. These Proceedings, XXIV. 258. OF ARTS AND SCIENCES. 73 so small that it is not worth the amount of work necessary to free it from the red viscous impurity with which it is mixed, especially as the mother liquors can be used to more advantage for the preparation of the bromtrinitrophenyltartronic ester made by the longer action of hot nitric acid on broratrinitrophenylmalonic ester.* The same substance was formed wlien the bromtrinitrophenyl- maloiiic ester stood in the cold with nitric acid of specific gravity 1.38 for three days. At first there was no visible change, but after two hours the mixture began to show a red color, which increased in intensity to a deep blood-red. The product was puiified in the way just described, but tliis method of making it is on the whole not so good as that at a temperature of 100°. The e.ise with which the substance breaks up under the influence of heat rendered the combustion of it a matter of gre.it diffii;ulty, since we encountered at one time an almost explosive evolution of gas, and at another tiie formation of a partial vacuum in the tube. The latter we are inclined to ascribe to the sudden absorption 1)y the plumbic cbromate of the large quantity of bromine given off by the substance. We finally succeeded in getting good results by spreudinj;- out the weighed portion through the whole length of a long porcelain boat, and then applying the heat so gradually that a layer of not more than a few millimeters of ic melted at any one time. Care was also taken that the temperature did not rise much above lla° until the whole of the substance had been melted, after which the combustion was finished in the usual way without trouble. The analyses led to the fallowing results : — I. 0.2157 gr. of the substance gave on combustion 0.2514 gr. of carbonic dioxide and 0.0498 gr. of water. II. 0.197"^ gr. of the substance gave 0.2310 gr. of carbonic dioxide and 0.0428 gr. of water. III. 0.1978 gr. of the substance gave 0.2324 gr. of carbonic dioxide and 0.0430 gr. of water. IV. 0.2014 gr. of the substance gave 20.6 c. c. of nitrogen at a tem- perature of 24° and a pressure of 772.6 ram. V. 0.1890 gr. of the substance gave 18.6 c. c. of nitrogen at a temperature of 19° and a pressure of 752.8 mm. * On one occasion the acid mother liquors yielded by spontaneous evapora- tion hirge wliite prisms, wliicli melted in the crude state at about 99°, and we -e apparently somewhat soluble in water; but, althoush we have tried in many ways, we have not succeeded in obtaining this substance a second lime. 74 PROCEEDINGS OP THE AMERICAN ACADEMY VI. 0.2101 gr. of the substance gave by the method of Carius 0.0813 gr, of argentic bromide. VII. 0.2078 gr. of the substance gave 0.0792 gr. of argentic bromide. VIII. 0.2054 gr. of the substance give 0.077G gr. of argentic bromide. Found. I. II. III. IV. v. VI. VII VIII. Carbon 31.79 31.84 32.03 Hydrogen 2.56 2.40 2.42 Nitrogen 11. 60 11.20 Bromine 16.47 16.22 16.08 These analytical results agree best with the percentages required by a substance formed from the bromtrinitrophenylmalonic ester by replacing one of its atoms of hydrogen by the radical XO2, as is seen from the following table. Carbon Hydrogen Nitrogen Bromine Our reasons for the position assigned to the radical NO2 in this formula, and for supposing that it is not a nitro group (— N = O2), but a nitrite ( — O — N=:0), have been already stated in the intro- duction to this paper. The yield is satisfactory on the whole ; 5 gr. of bromtrinitrophenymalonic ester gave 3.26 gr. of the substance,* mstead of the 5.5 gr. required by the calculation, that is, 59 per cent of the theoretical yield. Properties of the Nitrite of Bromtrinitrophenylmalonic Ester. — It occurs usually in short thick well developed glistening white prisms, with terminations consisting of two planes at both ends, which seem to indicate that the crystals belong to the raonoclinic system. Less com- monly the prisms are long and rather slender, with terminations similar to those of the shorter form. Its behavior when heated is very charac- teristic. If a tube containing some of it is dipped into an oil bath at 124°-126°, the substance turns red round the sides, then deeper, and the action gradually runs through the mass, until after a second or two the whole is melted forming a dark blood-red liquid, which occupies mauy times the volume of the original substance, and contains bubbles Calculated for Found. CcHBr(N02)30NO.>(C02C2H5)2. Mean. 31.52 31.88 2.22 2.46 11.32 11.43 16.16 16.26 * In addition to this amount 0 7 gr. of bromtrinitroplienyltartronic ester was obtained from the mother liquors. OP ARTS AND SCIENCES. 76 of gas. The action is evidently a decomposition, and can be produced at much lower temperatures, since if the tube containing the substance, instead of being dipped into the heated bath as described above, is gradually heated with the bath, the action takes place even below 120°. In fact, it can also be brought about by long-continued heating in the steam bath, or partially even at 70°. It is evident, therefore, that the compound has no definite melting or decomposition point, but yet the temperature given at first (124°-126°) can be used as such in purifying the substance, since it is essentially constant, if care is taken always to heat the samples examined in the same way, Tiiis decomposition seemed so interesting that we examined it more carefully. F'or tliis purpose a considerable quantity of the nitrite of bromtrinitrophenylmalonic ester was heated in a test tube inserted in an air bath, and the gaseous products of the reaction drawn through a solution of baric hydrate. At 103°-108° there was a quantity of red vapor given off, and a precipitate of baric carbonate formed in the tubes containing the baric hydrate solution. The red vapor was recog- nized by the smell as bromine, and this was confirmed by the precipi- tation of argentic bromide when argentic nitrate was added to the acidified filtrate from the baric carbonate. On the other hand, we could not detect a trace of nitrate or nitrite with ferrous sulphate and sulphuric acid. After the substance had been heated to 103°— 108° for three hours, the tempei-ature was raised to 125° for two hours and a half, but the additional loss at this higher temperature was very small. We intended originally to determine quantitatively the amounts of the various products, but abandoned this idea when we found that the loss was not constant, three experiments giving 25 per cent, 30 per cent, and 21 per cent respectively. The appear- ance of the bromine, too, shows that there has been a complete decom- position of a part of the substance, and therefore the volatile products are of so little interest that we did not care to spend the time neces- sary for the identification of the others, which must have been formed in addition to the bromine and carbonic dioxide. On the other hand, we were much interested in the non-volatile product of the reaction left in the test tube as a fused rather viscous mass of a brownish red color, in which crystals were embedded. It was purified by washing several times with alcohol, which removed much of the viscous por- tion, then the residue was crystallized, first from dilute, and finally from common alcohol, and when pure showed the melting point 156° and the crystalline form of the bromtrinitrophenyltartronic ester described later in this paper. The action of heat on our nitrite, there- 76 PROCEEDINGS OP THE AMERICAN ACADEMY fore, is similar to the well known conversion of the so-called nitrotar- taric acid into tartronic acid. Tho nitrite of bromtriuitrophenylmalonic ester is almost insoluble in cold water, perhaps a little more soluble in boiling water ; but if the substance was boiled for some time with water, the crystals were con- verted superficially into a daik red oily substance, and the water gave a slight test for bromine; this decomposition seemed to be due, how- ever, only to the heat (see above), nut to the presence of tlie water. It is slightly soluble in cold, more freely in liot ethyl alcohol, but this solution is easily decomposed by heat, since boiling for fifteen minutes converts the substance completely into a brownish red viscous product resembling half-dried varnish, from which nothing definite could be isolated, and even a very short heating with alcohol is sufficient to form some of this viscous body. Its solubility in methyl alcohol resembles that in ethyl alcohol; it is freely soluble in chloroform, or acetone; soluble in benzol, or glacial acetic acid; slightly soluble in carbonic disulphide ; very slightly in ether, and essentially insoluble in ligroine. The best solvent for it is the mixture of chloroform and alcohol described above. Strong sulphuric acid seems to have no action on it in the cold, or if heated, until the substance decomposes, when it dissolves forming a reddish solution ; strong hydiochloric acid has no action on it, either hot or cold, as long as the substance does not decompose ; strong nitric acid has little or no action on it in the cold, even when allowed to stand with it for some weeks, when heated to 100° it converts it gradually into the bromtrinitrojjhenyltartronic ester, as is described in detail later in this paper under the preparation of that substance. Ammoiiic hydrate acts on it little, if at all, even when the action is assisted by the addition of alcohol ; sodic hydrate in aqueous so- lution has no action, but if alcohol is added the crystals begin to dis- solve slowly, imparting a red color to tlie liquid but only a partial solution is effected m the cold. From this observation we inferred that no salt was formed until the nitrite was decomposed, and to test the accuracy of this inference we treated some of the nitrite with an alcoholic solution of sodic etliylate, which gave at once a daik blood- red coloration ; but even here ordy a part, and that not the larger part, of the crystals of the nitrite was dissolved ; the red solution poured off from the unaltered crystals gave a good test for a nitrite with starch paste, potassic iodide, and dilute sulphuric acid, with ferrous 8ul[»hate and sidphuric acid, and by Liebermann's reaction, so that there can be no doubt that sodic nitrite was formed in the experiment OP ARTS AND SCIENCKS. 77 This proves the correctness of our inference that the substance melt- inff at 124°-12G° cannot form salts ; and the blood-red salt observed must have been derived from the decomposition product left after the removal of the group NO2 from our substance. It may be added, that acid or neutral sodic carbonate has no action on the nitrite in aqueous solution, and very little, if any, in presence of alcohol. Nitrite of Anilidotrinitrophenylnialonic Ester, CoII(C«H5Nll)(N02)3CNO,(COOC2H5)2. Aniline acts with great violence on the nitrite of bromtrinitrophenyl- malonic ester. If the substances are mixed at ordinary temperatures, the action is almost explosive, a good part of the mixture is thrown out of the beaker, and the product seems to be principally carbon. If the mixture is kept cool by immersing the beaker in water, the action goes more mildly, but the product is still very black and impure. We therefore carried on the reaction in ethereal solution with the best results as follows : — 1 gr. of the nitrite of bromtrinitrophenylmalonic ester was mixed with a small quantity of ether, and, disregarding the fact that a portion of the crystals had not dissolved, a slight excess of aniline was added ; the ether at once turned red, and the undissolved crystals of the nitrite were taken up, while aniline bromide was de- posited in their place. At the end of a few minutes the reaction was complete, and, after washing out the aniline and aniline bromide with water containing a little hydrochloric acid, the ether was allowed to evaporate, when it left a vivid red mass, which was purified by dissolv- ing it in hot chloroform avoiding long heating, and then adding alco- hol until the crystals began to separate, as it had been found that this Bubstance, like the corresponding bromine compound, was decomposed by heating with alcohol. After the substance showed the constant melting point 119° it was dried in vacuo for analysis. The combustion of this substance was even more difficult than that of the bromine compound, as it decomposed with almost explosive violence at a temperature a few degrees above its melting point, and did not begin to decompose at all at lower temperatures. We were unable therefore to burn it in an open tube, but at last got satisfjictory results by using a closed tube, mixing it with a long layer of plumbic chromate and applying the heat very gradually. Its analyses led to the foUowina: results : — I. 0.1542 gr. of the substance gave on combustion 0,2538 gr. of car- bonic dioxide and 0.0678 gr. of water. 78 PROCEEDINGS OF THE AMERICAN ACADEMY II. 0.1494 gr, of the substance gave 18.9 c. c. of nitrogen at a tem- perature of 24°. 3 and a pressure of 752.3 mm. Calculated for Found. C6H(C6H6NH)cno,)3Cno3(co2C2Hb)j. I n. Carbon 44.97 44.88 Hydrogen 3.35 4.88 Kitrogen 13.80 14.02 In spite of the unsatisfactory number for the hydrogen, these results prove that the substance has the formula which we have assigned to it. The yield was good, 0.9 gr. of the nitrite of the bromtriiiitrophe- nylmalonic ester giving 0.7 gr. of the anilido compound, instead of the 0.92 gr. required by the theory, that is, 76 per cent. Properties. — The nitiite of the anilidotrinitrophenylraalonic ester is a very beautiful substance, crystallizing in rhombohedra often two millimeters long and one millimeter thick, with a very acute angle, which is frequently, but not always, truncated by a basal plane. The color of the crystals by reflected light is a rich full red, somewhat darker than that of chromic anhydride, by transmitted light orange- red. It melts at 119°, turning black and giving off a few bubbles of gas, if the temperature has not risen above this point ; but at 120° it decomposes with such violence that frequently a good part of the sub- stance is thrown out of the capillary melting tube. It is essentially insoluble in cold water, and its solubility does not seem to be uicreased by heat; very slightly soluble in cold ethyl alcohol, more soluble in hot, but still not freely, the hot solution seems to undergo partial de- composition ; more soluble in methyl alcohol, whether cold or hot, than in ethyl alcohol, but not freely even in this ; very freely soluble in chloroform ; freely in benzol, or acetone ; soluble in glacial acetic acid; slightly in ether, or carbonic disulphide; insoluble in ligroine. The best solvent for it is a mixture of chloroform and alcohol. Strong sulphuric acid seems not to act on it in the cold, but when heated with it the substance decomposes, and then dissolves with a blackish color ; strong nitric acid does not act on it in the cold, but when hot dissolves it with a yellow color ; strong hydrochloric acid has no action on it, whether cold or hot. The nitrite of anilidotrinitrophenylmalonic ester showed marked acid properties. Acid sodic carbonate in aqueous solution had no action with it, but, if assisted with alcoliol, gave a red solution ; potas- sic carbonate behaved in the same way ; sodic hydrate turned the crystals black, forming at the same time a brownish solution, which on addition of alcohol became deeper and blackish red, turning in OP ARTS AND SCIENCES. 79 time to blackish brown ; ammonic hydrate in aqueous solution gave a red color, but the action was not complete until alcohol was added, when a very dark red solution was formed. The nitrite of auilidotri- nitrophenylmalonic ester therefore shows much more acid properties than the corresponding bromine compound, which is indifferent to all these reagents except sodic hydrate in presence of alcohol, and this fact puzzled us at first, until we decided that the hydrogen attached to the nitrogen in the anilido radical (CcHsNH) might be rendered acid by the presence of the three nitro groups. That this is the correct explanation of the phenomenon we have proved by preparing and ana- lyzing the sodium salt of anilidotrinitrotoluol, which contains no atom of hydrogen that could be replaced by sodium except the one attached to the nitrogen of the aniline radical. The description of this work will be found in the following section. An attempt to analyze the sodium salt of the nitrite of anilidotrini- trophenylmalonic ester gave no satisfactory result, owing undoubtedly to the partial formation of sodic nitrite from the organic nitrite by the action of the sodic hydrate used in making the salt. Sodhcni Salt of Anilidotrinitrotuluol, C6CH3H(C6H5NNa)(N02)8. To prepare this salt, 1 gr, of anilidotrinitrotoluol * (melting point 151°) was dissolved in alcohol, and mixed with an alcoholic solution of 0.09 gr. of sodic hydrate, that is, over 0.03 gr. less than ;he amount required to convert the gram of substance into its salt ; a little ether was then added, and the solution of the salt evaporated rapidly to dryness in a narrow beaker sunk throughout its whole length in the steam bath. During the evaporation there was an odor of phenyliso- cyanide. The dry mass was washed thoroughly with benzol to re- move the excess of anilidotrinitrotoluol, the residue dried at 100°, and analyzed. As the salt explodes when heated with strong sulphuric acid, it should be dissolved in water, treated with dilute sulphuric acid, filtered, and the filtrate evaporated to dryness and converted into neutral sodic sulphate. 0.7876 gr. of the salt gave 0.1662 gr, of sodic sulphate. Sodi lum Calculated for OeCILiHlCjHsNNaXNOoJa. Found. 6.76 6.84 The salt prepared as described above forms a maroon-black powder, which explodes gently when heated alone, or with strong sulphuric * These Proceedings, XXIV. 255. 80 PB0Ci3EDINGS OP THE AMERICAN ACADEMY acid, forming in the latter case a very loose spongy blackish mass. It is soluble in alcohol with a yellowish brown color like that of ferric chloride ; insoluble in ether, or benzol ; water decomposes the salt almost completely, forming a yellow precipitate and a pale brotvn solu- tion, which is strongly alkaline. The action of the anilidotrinitroto- luol with alkaline reagents was also studied, and, as was to be expected, no action was obtained with acid, or neutral carbonate of sodium, or ammonic hydrate in aqueous solutions ; but if the action was assisted by the presence of alcohol, each of these reagents gave a barely per- ceptible reddish coloi'ation, so slight in the case of ammonic hydrate that we were doubtful whether there had been any action ; sodic hydrate in aqueous solution gave a slight yellow coloration, which, on the addition of alcohol, was at once converted into a very dark blood- red. The acid character of the anilidotrinitrotoluol therefore is much less marked than that of the nitrite of anilidotrinitrophenylmalonic ester, and as the position of the anilido group with regard to the nitre groups is the same in both compounds, we must ascribe this to the presence of the nitrite of the malonic ester radical CN02(COOC2H5)2, with its large amount of oxygen in place of the indifferent methyl con- tained in the toluol. Bromtrinitrophenyltartronic Ester, C6HBr(N02)3COH(COOC2H5)2. If the nitrite of bromtrinitrophenylmalonic ester, or the ester itself, was heated for some time with nitric acid, it was converted into the corresponding tartronic ester, which we found it convenient to prepare as follows : — 1 gr. of bromtrinitrophenylmalonic ester was mixed with about 10 c. c. of nitric acid of specific gravity 1.38, and heated on the water bath for three hours in a dish covered with a watch-glass, fresh nitric acid being added when necessary to replace that lost by evaporation. At the end of this time the substance was found to be completely dissolved in the small quantity of hot nitric acid left, but upon cooling colorless crystals separated, which, after washing with water, were essentially the pure substance, one recrystallization from alcohol being all that was needed to make them melt at 156°, the con- stant melting point of this compound. If, as was usually the case, the bromtrinitrophenylmalonic ester was contaminated with acetylene- tetracarbonic ester, a yellowish oil was also formed, which however remained dissolved in the nitric acid mother liquor. The amount of the substituted tartronic ester in this mother liquor was so small that it did not pay for the working up. The bromtrinitrophenyltartronic ester can also be made from the OP ARTS AND SCIENCES. 81 nitrite of the corresponding malouic ester, but this method has no ad- vantage over the preparation direct from the malonic ester described above, except in the case of the nitric acid mother liquors from mak- ing the nitrite, which yield on longer heating with nitric acid a small amount of the tartronic ester, and this is worth saving on account of the tedious and costly preparation of the mother substance. The substance dried in vacuo was analyzed with the following results : — I. O0I95I gr. of the substance gave on combustion 0.2380 gr. of carbonic dioxide and 0.0584 gr. of water. II. 0.2049 gr. of the substance gave 16.2 c. c. of nitrogen at a tem- perature of 17°. 5 and a pressure of 763.7 mm. III. 0.2044 gr. of the substance gave according to the method of Carius 0.0836 gr. of argentic bromide. IV. 0.2272 gr. of the substance gave 0.0930 gr. of argentic bromide. IV. Carbon Calculated for C6HBr(N0o)3C0H(C02C,H5)j. 33.47 I. 33.28 Found. II. Ill Hydrogen 2.58 3.33 Nitrogen 9.02 9.20 Bromine 17.17 17.4 17.42 Our reasons for considering this a tartronic ester rather than a phenol have been given already in the introduction to this paper. The yield is satisfactory, considering the amount of loss to be expected from such a method of preparation ; 1 gr. of bromtrinitrophenylmalonic ester gave 0.4 gr. of the substance, or about 40 per cent of the theo- retical yield. Properties. — The bromtrinitrophenyltartronic ester crystallizes from alcohol in long white prisms, terminated by planes at a very obtuse angle to each other, so that the ends look almost but not quite square. These crystals are often arranged in radiating groups, and in that case are generally much more slender than when occurring in isolated prisms. It is deposited from its solution in hot nitric acid in rather sharp slen- der needles. It melts at 156°, and is nearly but not quite insoluble in water, whether hot or cold ; soluble in cold alcohol, freely in hot ; rather more soluble in methyl than in ethyl alcohol ; freely soluble in benzol, glacial acetic acid, or acetone; soluble in ether, and some- what more so in chloroform ; nearly insoluble in carbonic disulphide; insoluble in ligroine. The best solvent for it is hot alcohol. Strong sulphuric acid has no action upon it in the cold, but if hot, dissolves VOL. XXVI. (N. 8. XVIII.) 6 82 PROCEEDINGS OP THE AMERICAN ACADEMY it with difficulty with a reddish brown color ; strong hydrochloric acid has no action on it hot or cold in open vessels, but decomposes it if the two substances are heated toijether in a sealed tube ; nothiujj could be obtained from the products, however, except a mass like a dry varnish, which we did not succeed in bringing into a state fit for analysis. An exactly similar result was obtained in an attempt to saponify it with sulphuric acid of specific gravity 1.44. Strong nitric acid has no action on it at first, whether cold or hot, but if heated with it for some time seems to destroy it completely, and a similar result was obtained upon boiling it with bromine and water, as in both these cases we could not succeed in isolating any organic oxidation product. Acid sodic carbonate in aqueous solution had no action on brom- trinitrophenyltartronic ester, but on the addition of alcohol a pale red color appeared, which became more marked on standing ; potassic carbonate also did not affect it in aqueous solution, but gave a strong dark red solution on addition of alcohol ; aqueous sodic hydrate turned the crystals brown, and dissolved some of them with a brown- ish color ; on the addition of alcohol all the substance went into solution with a dark red color ; ammonic hydrate gave a red solution, but the action was not complete until alcohol was added, when the solution became very dark red. The bromtrinitrophenyltartronic ester therefore showed the strong acid character which we should ex- pect, but no attempt was made to analyze its salts, as it was found that the bromine atom was removed by alkaline solutions with great ease, sodic bromide being formed, when it was treated with sodic ethylate even in the cold. A n ilidotrin itrophenyltnrtro n ic Ester, C6H(CcH5NH)(NO,)3'cOH(COOaH5)2. This substance was made by adding an excess of aniline to solid bromtrinitrophenyltartronic ester ; the reaction ran smoothly with a slight evolution of heat, and was complete after the mixture had been allowed to stand for a few minutes, when the aniline bromide and ex- cess of aniline were removed by washing with very dilute hydrochloric acid, and the bright yellow residue purified by crystallization from alco- hol. At first rounded masses of radiating needles looking like little balls of fat of a bright yellow color were obtained, but as the crystal- lization continued, orange-red prisms began to appear, and increased in quantity until after several recrystallizations the greater part of the substance had been converted into this form. This behavior during OF ARTS AND SCIENCES. 83 crystallization suggested to us that the substance probably occurred in two modifications, which was proved to be the case by the determina- tion of the melting points of the two sorts of crystals, the yellow, after thorough purification, melting at about 122°, the red at 143°. As the substance passes from one form to the other with great ease, many ex- periments were necessary in order to find methods for obtaining each in a state of purity. Red Modljication of Anilidotrinitrophenyltartronic Ester. To obtain this form from the crude product of the reaction it was crystallized several times from alcohol, until a mixture of the two forms rich in the red had been obtained, and then a strong alcoholic solution of the mixed crystals was allowed to evaporate slowly at temperatures from 50° to 70°. The product thus obtained, which showed no sign of the yellow form, was dried at 100°, and analyzed with the following results : — I. 0.1792 gr. of the substance gave on combustion 0.3114 gr. of car- bonic dioxide and 0.0694 gr. of water. II. 0.2016 gr. of the substance gave on combustion 0.3534 gr. of carbonic dioxide and 0.0809 gr. of water. III. 0.1938 gr. of the substance gave 19.9 c. c. of nitrogen at a tem- perature of 22° and a pressure of 767.7 mm. III. 11.76 The air-dried red crystals lost only 0.19 per cent when dried at 100°, and therefore were free from water or alcohol of crystallization. Properties. — The red form of anilidotrinitrophenyltartronic ester crystallizes in well formed prisms, often half a centimeter long, with at each end a pyramidal termination consisting of four planes. It has an orange-red color like that of potassic dlchromate, and melts at 143° ; is essentially Insoluble in cold water, very slightly soluble in boiling water, forming a pale yellowish solution ; soluble in cold al- cohol, rather freely in hot. This solution if allowed to evaporate at temperatures from 50° to 70° deposits crystals of the red modification, as has been already stated ; but if allowed to evaporate at ordinary temperatures, a mixture of red and yellow crystals is usually obtained, although occasionally only red crystals are formed under these con- Carbon Calculated for C6H{C6H5NH)(N0o),C0H(C02C2H5)2. 47.69 I. 47.40 Found. II. 47.80 Hydrogen 3.77 4.30 4.46 Nitrogen 11.71 84 PROCEEDINGS OF THE AMERICAN ACADEMY ditions. The red modification is more soluble in methyl than ethyl alcohol ; very freely in acetone. Both these solutions deposit some yellow crystals. Soluble in ether or chloroform ; slightly soluble in cold benzol, freely in hot. The solution in benzol or chloroform de- posits the substance in a viscous state. It is slightly soluble in cold glacial acetic acid, more soluble in hot ; from this solution it is usually precipitated by the addition of water in the yellow form, although once or twice we thought we obtained the red modification ; very slightly soluble in carbonic disulphide ; insoluble in ligroiue. Strong sulphuric acid when cold has no action on it, but dissolves it with a brownish yellow color when hot ; strong nitric acid dissolves it par- tially when cold with a yellow color, and the action is increased by heating ; cold hydrochloric acid has no action on it, but dissolves it very slightly when hot. Telloic Modification of Anilidotrinitrophenyltartronic Ester. This substance was most conveniently obtained from the mixture of the two forms, after it had been purified by several crystallizations from alcohol, by dissolving it in warm glacial acetic acid, and, after allowing the solution to stand for some hours, precipitating the solid matter by the addition of water. The yellow powder thus obtained was dried at ordinary temperatures over sulphuric acid, and analyzed with the following results : — I. 0.1879 gr. of the substance gave on combustion 0.3284 gr. of car- bonic dioxide and 0.0726 gr. of water. II. 0.1924 gr. of the substance gave 20.5 c. c. of nitrogen at a tem- perature of 25° and a pressure of 769.7 mm. Calculated for Found. CeH(CuH5NU)tN0.)3C0U(C02C2H5)2. I II. Carbon 47.69 47.66 Hydrogen 3.77 4.29 Nitrogen 11.71 12.05 The substance dried over sulphuric acid lost no weight when heated to 100°, showing that it contams neither water nor alcohol of crystal- lization. Properties. — The yellow form crystallizes in very fine needles united into spherical groups like those of wavellite, looking frequently like little balls of fat, and has a full yellow color like that of potassic chromate. It is hard to determine the melting point with accuracy, because this form is quickly changed into the red modification, at least OF ARTS AND SCIENCES. 85 in part, when heated to a few degrees below that temperature ; it is necessary therefore to heat the bath up to the meltiug point before im- mersing the capillary tube containing the substance ; under these con- ditions it melts, and then changes to the red form, and solidifies again, after which it does not melt until about 140°. The melting point we ascribe to this substance is 122°, but we are not sure that this is ac- curate to one degree. This change from yellow to red can also be brought about slowly by heating at 100°, by boiling the yellow form with water for some time, or most conveniently by crystallization from alcohol at temperatures from 50° to 70°. In its solubility in the differ- ent solvents the yellow form does not differ much from the red, but seems in general to be more soluble. We have made many attempts to determine the molecular weights of the two modifications by the method of Raoult, but have not as yet succeeded in finding any solvent which gives satisfactory results. Acetic acid, owing to its conversion of the red into the yellow form, could at best give results only for the latter, but a number of deter- minations showed us that it was of no use even for this purpose, as results were obtained varying from 295 to 345 (the theoretical molecu- lar weight is 478), therefore showing that some reaction (probably the formation of an acetoxymalonic ester) had taken place between the acetic acid and the ester. An experiment with phenol gave an excellent result with the red form, 477 instead of 478 ; but with the yellow only 307 was obtained, indicating a chemical action similar to that observed with acetic acid, and we are not inclined to accept any result with phenol, however excellent it may appear, as with a sub- stance which is so easily affected by solution as this there can be no certainty that it has remained in the same modification, unless it can be recovered directly from the solution used, and this we have found no means of doing in the case of phenol. Benzol gives such uncer- tain results with substances containing a hydi'oxyl group,* that we did not think it worth while to try it. We have hopes that naphthaline! may give the desired result for the red form ; this will be tried in this Laboratory, and a further attempt made to find a satisfactory solvent for the yellow modification ; but as the departure of one of us from Cambridge makes it necessary to postpone further work in this direc- tion until next year, we have thought it best to publish at once our present results, which have already reached a certain completeness. * Ber. d. ch. G., XXI. 707. t Ber. d. ch. G, XXII. R. 128. 86 PROCEEDINGS OF THE AMERICAN ACADEMY Saks of AniUdotrinitrotartronic Ester. The anilidotrinitrotartronic ester has well marked acid properties. An aqueous solution of acid sodic carbonate has essentially no action on it, but if alcohol is added there is a slight but distinct action indicated by the change of color ; potassic carbonate gives in aqueous solution a slight red color, which becomes a strong red if alcohol is added ; sodic hydrate in aqueous solution gives a very dark red, apparently convert- ing the substance completely into its salt ; ammonic hydrate also gives a strongf red color, which is intensified on the addition of alcohol. Some of the alkaline salts were studied more carefully with the fol- fowing results. Monopotassium Salt, C6H(CoH5NH)(NO,)3COK(COOCoH5)o. This salt was made by adding 20 c. c. of absolute alcohol to 0.5 gr. of the ester, and then a large excess of pure potassic carbonate ; car- bonic dioxide was given off, the solution became very dark red, and after disestinir the substances for eight to ten minutes with the occa- sional aid of a little heat, the dark brown solution was filtered from the excess of potassic carbonate, evaporated to dryness in a beaker sunk throughout its whole length in the steam bath, and analyzed with the following results: — I. 0.3458 gr. of the salt heated with strong sulphuric acid gave 0.0548 gr. of potassic sulphate. II. 0.3748 gr. of the salt gave 0.0G9G gr. of potassic sulphate. Calculated for Found. C«H(C„H5NH)(N0,)3C0K(C0AH5)2- I- H. Potassium 7.58 7.11 8.34 The absolute alcohol used in the second analysis had not been freshly prepared, and the slight excess of potassium can be accounted for by the assumption that it had absorbed a little water. Properties. — The acid potassic anilidotrinitrophenyltartronic ester, when prepared by the method described above, forms a brownish black amorphous solid, freely soluble in water or alcohol, slightly sol- uble in ether, and insoluble in benzol. The solutions have a dark brown color. Disodium Salt, CoH(C„Il5NNa)(NOo)3CONa(COOCoH5)2. This salt seemed to be formed, to our great surprise, by the action of an alcoholic solution of sodic hydrate on an excess of the anilido- trinitrophenyltartronic ester. To prepare it, about 0.7 gr. of the ester OP ARTS AND SCIENCES. 87 were mixed with a little alcohol, and somewhat less than the amount of sodic hydrate (also in alcoholic solution) necessary to form a mono sodium salt ; a little ether was then added to the dark red solution, which was evaporated rapidly to dryness, the small beaker containing it beiuff sunk throuajhout its leuijth in the steam bath. After this the excess of unaltered ester was extracted with benzol, and the salt dried at 100°, and analyzed with the following results: — I. 0.2596 gr. of the salt gave after evaporation and ignition with sulphuric acid 0.0672 gr. of sodic sulphate. II, 0.2848 gr, of the salt gave 0.0698 gr. of sodic sulphate. Calculated for CoU(C„HiNNa)(NO,),CONa(C02C2HB)2. Sodium 8.81 Found. I. 8.39 II. 7.94 These results agree with the percentage corresponding to the for- mula as nearly as can be expected, when it is remembered that the salt was not crystallized, or purified in any other way ; but still we cannot feel that they do more than make it highly probable that this is the composition of the salt, as it is certainly strange that a neutral salt should have been formed when such an excess of the acid sub- stance was present, and we had no means of proving that the substance analyzed was a pure salt rather than a mixture ; in fact, we observed a slight smell of phenylisocyauide during its preparation, indicating a deep decomposition of part of it, — only a very small part, however, if we may judge from the smell. Properties. — The salt prepared as described above formed a dark reddish brown to black amorphous mass, soluble in water or alcohol ; slightly soluble in ether ; insoluble in benzol. Its solutions have a brownish red color. The behavior of a solution of the ammonium salt of anilidotrinitro- phenyltartronic ester, made by adding ammonic hydrate to an excess of the ester, although it smelt strongly of ammonia, was tested with various reagents and gave the following characteristic precipitates : — With a zinc salt, orange-brown. With a manganese salt, brown. With a cadmium salt, reddish brown. With a copper salt, yellowish brown. With a lead, mercuric, or silver salt, reddish brown. The fact that the ammonium salt gives no precipitate with salts of magnesium, calcium, strontium, or barium, is also highly characteristic. Although, as has been already stated, no definite results were ob- 88 PROCEEDINGS OF THE AMERICAN ACADEMY taiued from our attempts to oxidize or saponify the biomtrinitrophe- nyltartrouic ester, we thought that perhaps the anilido comjjound might behave better, and accordingly the following experiments were made, in the hope (unfortunately not realized) of decomposing the anilidotrinitropheuyltartronic ester into substances which would con- firm our inferences in regard to its nature. The substance was al- lowed to stand in the cold with an aqueous solution of potassic permanganate, but, although a considerable part of it disapj^eared, no organic oxidation product could be detected. In the hope of sa- ponifying the ester, we added to it an excess of sodic hydrate dissolved in water, and allowed the reddish brown solution thus formed to stand in a corked flask at ordinary temperatures for some weeks. During this standing a strong odor of phenylisocyanide was developed, and, if the amount of ester was small, the color changed to yellow ; if, on the other hand, the quantity was large, it retained its dark brown color ; at the end of the experiment, nothing was obtained except a brown precipitate of most unpromising appearance, formed by adding an acid to the solution, and the phenylisocyanide already mentioned as recog- nized by its smell. As the formation of this substance would neces- sitate a complete destruction of the benzol ring which carried the nitro groups and malonic ester radical, we did not think it worth while to repeat the experiment. This formation of an isocyanide from the destruction of a benzol ring containing nitro groups by means of an aqueous solution of sodic hydrate recalls the work of Post and Hiibncr,* who found that ordi- nary dinitrobenzol when boiled with a solution of sodic or potassic hydrate was decomposed with formation of a cyanide quickly if the solution was strong, slowly if it was dilute. They also found that picric acid behaved in the same way, thus confirming the earlier ob- servation of Wohler.f A n ilidotrin itroph enjjJmalon ic Este r, CoHlCcH.NH) (N0J3CII(C00C JI^).. This substance was made to see whether it would be possible b.y treatment with nitric acid to convert it directly into either its nitrite or the anilidotartronic ester described above. It was found, however, that standing for several days at ordinary temperatures with strong nitric acid produced complete decomposition of part of the substance, the only product insoluble in the acid being unaltered anilidotrinitro- * T5cr. d. cli. G., V. 408 (1872). t Pogg. Ann., XIII. 488 (1828), OP ARTS AND SCIENCES. 89 phenylmalonic ester ; and that upon heating it on the steam bath with nitric acid lor three hours in the hope of making the anilidotrinitro- phenyltartronic ester, the substance was destroyed completely, oxalic acid being the only product which we could find. It seems therefore that the less acid auilido compound cannot be converted into the ni- trite or tartronic ester. But although these attempts to oxidize the substance have failed, we add the description of the anilidotrinitro- phenylmalonic ester, which has not been prepared heretofore. It is easily made by adding an excess of aniline to solid bromtrini- trophenylmalouic ester. The reaction ran smoothly in the cold with slight evolution of heat, and the product was purified by washing with very dilute hydrochloric acid to remove the excess of aniline and the aniline bromide, and crystallization from alcohol until it showed the constant melting point 133°, when after drying at 100° it was analyzed with the following result : — 0.18G6 gr. of the substance gave 20.2 c. c. of nitrogen at a temperature of 25°. 5 and a pressure of 764.3 mm. Calculated for 0(.H(C6H5NH)cNO„)3CH(CO2C2H5)2. Found. Nitrogen 12.13 12.12 Properties. — The anilidotrinitrophenylmalonic ester crystallizes in long slender sharp needles arranged in radiating bunches. It has a full yellow color, and melts at 133°. It is very slightly, if at all, soluble in cold water, more soluble in hot, as shown by the faint yel- low color of the solution ; freely soluble in hot alcohol, less so in cold ; somewhat more soluble in methyl than in ethyl alcohol ; very freely- soluble in chloroform; freely in benzol or acetone; soluble in ether, or glacial acetic acid ; slightly in carbonic disulphide ; insoluble in ligroine. Boiling alcohol is the best solvent for it. Strong sulphuric acid or nitric acid dissolves it slightly in the cold with a yellow color; the solubility is somewhat increased by heating ; strong hydrochloric acid acts on it only very slightly, cold or hot. An aqueous solution of acid sodic carbonate has no action upon it, but there is a barely per- ceptible change of color if alcohol is added ; aqueous potassic carbon- ate gives little if any action, but on the addition of alcohol a brown solution is formed, the action however seems to be incomplete ; aque- ous sodic hydrate turns the crystals dark and brown, the solution be- coming yellow, the addition of alcohol seems to convert the substance completely into the sodium salt ; aqueous ammonic hydrate gives a barely perceptible yellow color, which is not increased by the addition of a little alcohol, but a large amount gives a dark brown solution. 90 PROCEEDINGS OF THE AMERICAN ACADEMY A solution of the sodium salt of anilidotrinitrophenylmalonic ester made by adding a di'op of sodic hydrate to an excess of the ester mois- tened with alcohol, and then diluting largely with water, gave charac- teristic precipitates with the following reagents : — With a calcitim salt, a heavy reddish brown precipitate. With a strontium salt, a slighter precij^itate. With a barium salt, a very faint precipitate. A magnesium salt gives a reddish brown precipitate, as heavy as that obtained with the calcium salt. With a manganese salt, reddish brown flocks. With a zinc salt, yellowish brown. W^ith a cadmium salt, orange-yellow. With a copper salt, yellowish brown. With a lead salt, reddish brown. With a silver salt, dark reddish brown. Its most striking property is that the barium salt is the most, the calcium salt the least, soluble of its salts with metals of the second group, and in tiiis respect it resembles its mother substance, the brom- trinitrophenylmalonic ester,* the corresponding acetacetic ester^f and the orthonitrobenzoylmalouic ester of Bischoff.f Nitrite of Trinitrophenylenedlmalonic Ester, .C,H(NO,)3CH(COOC,H.)2CNO,(COOC2H5)2. After we had studied the action of nitric acid on the bromtrinitro- pheuylmalouic ester, it seemed of interest to determine whether the dimalouic compound acted in the same way, and accordingly we pro- ceeded as follows. A small quantity of the trinitrophenylenediraalonic ester § (melting-point 123°) was covered with nitric acid of specific gravity 1.38, and warmed in a dish on the steam bath for two min- utes ; the solid turned dark yellow, and melted to a drop of oil. The acid was then allowed to cool, poured off, and replaced by the same quantity of fresh acid, when it was warmed as before for three min- utes, making five m all. Upon standing, the oily product solidified to a mass of crystals, which were washed thoroughly with water, and at first recrystallized from alcohol ; but as m each crystallization a small quantity of yellow oil was formed, we feared a partial decomposition, and resorted to the method which had given excellent results in the purification of the nitrite of bromtrinitrophenyhnalonic ester, that is, » These Proceedings, XXIV. 261. t Ann. Cliem., CCLI. 362. t Ibid., 278. § Tiiese Proceedings, XXIV. 268. OP ARTS AND SCIENCES. 91 dissolving tlie substance with very little heat iu chloroform, and then adding enough alcohol to start the separation of crystals ; in this way a pure substance melting at 111° was obtained without diliiculty, which was dried at about 70° and analyzed with the following results ; — I. 0.19G0 gr. of the substance gave on combustion 0.3012 gr. of car- bonic dioxide and 0,0714 gr. of water. II. 0.1926 gr. of the substance gave 1G.7 c.c of nitrogen at a tem- perature of 23° and a pressure of 771 mm. Found 1. II. 41.91 4.05 Carbon Hydrogen Nitrogen Calculated for C8H(N02)3CH(C0,C2ll5),CN0s(C02C2Hr,)2. 41.81 3.83 9.76 9.93 The substance is therefore the mononitrite of trinitrophenylenedi- malouic ester. Properties. — The substance crystallizes in rather thick plates with parallel sides terminated at each end by two planes at an acute angle to each other, these acute angles being usually, but not always, truncated by planes at right angles to the parallel sides. The crystals are often much twinned and grouped into very irregular forms. It has a lemon- yellow color, and melts without decomposition at 111°. It is very slightly soluble in boiling water, giving a pale yellow solution, essen- tially insoluble in cold ; slightly soluble iu cold alcoliol, freely in hot ; more soluble in methyl than in ethyl alcohol, whether cold or hot ; both these solvents seem to produce a slight decomposition of the sub- stance when heated with it ; very freely soluble in chloroform ; freely soluble in benzol, or acetone ; soluble in ether, or glacial acetic acid ; slightly soluble in carbonic disulphide ; insoluble in ligroine. The best solvent for it is the mixture of chloroform and alcohol used as de- scribed above. Strong sulphuric acid has no action on it in the cold, but, when heated with it, dissolves some of it with a pale yellow color after it melts; strong hydrochloric acid has no apparent action on it either hot or cold ; strong nitric acid has no action on it in the cold, but dissolves it slightly when hot, and if heated with it for two hours and a half destroys it completely, tlie only product which we isolated being oxalic acid ; on one occasion, however, another product melt- ing near 1 10° was obtained in small quantity, but we did not feel sufficiently interested in this part of the subject to prepare enough of it to determine whether it was the dinitrite or a tartronic ester. One thing, however, these experiments have established, namely, that the 92 PROCEEDINGS OF THE AMERICAN ACADEMY dimalonic compound is less stable toward nitric acid than the brom- malouic compound, since the latter, after three hours' boiling with the acid, had not gone further than the tartronic ester, while the former usually underwent a total decomposition. On the other hand, the nitrite of the dimalonic compound is not decomposed by melting, and only slightly by heating with alcohol, and therefore in these two re- spects is more stable than the nitrite of bromtrinitrophenylmalonic ester. The nitrite of trinitrophenylenedimalonic ester shows acid proper- ties. With an aqueous solution of acid sodic carbonate it gives no action, and very little when alcohol is added, unless in very large quantity, when a yellowish solution is formed ; with potassic carbonate in aqueous solution there is no action, but on the addition of alcohol a very strong yellowish brown color ; aqueous sodic hydrate gives a red- dish solution, on the addition of alcohol an orange flame-colored solution, entirely different in color from that given vv'ith the potassic carbonate ; ammonic hydrate imparts a strong yellow coloration to the solution, intensified on the addition of alcohol. Upon comparing the acidity of this substance with that of the trinitrophenylenedimalonic ester, it seems as if this latter substance were somewhat more acid than the nitrite, since it gives a slight coloration with aqueous potassic carbon- ate, and seems to act more easily with acid sodic carbonate and alco- hol, but the difference between the two in this respect is certainly very slight, which we should not have expected, as it seemed probable that the introduction of the nitrous acid radical (ONO) would have in- creased the ease with which the hydrogen in the other malouic ester radical was removed. A solution of the sodium salt of the nitrite of trinitrophenylenedi- malonic ester was made by adding one drop of sodic hydrate solution to a large excess of the ester moistened with alcohol, and, after the action had taken place, diluting with much water. Tlie solution thus ob- tained was of the color of a solution of potassic dichromate, but much less stronpjly colored than the solutions of the salts of any of the re- lated substances. Its action with the various reagents was tried, and the following characteristic precipitates observed ; — With barium salt, rather heavy yellow flocks. With morcurous or lead salts, heavy yellow flocks. With silver or copper salts, yellow flocks. Salts of calcium, sU'ontium, or magnesiimi gave only faint yellow pre- cipitates, decidedly different from the heavy one produced by baric chloride. OF ARTS AND SCIENCES. 93 Nitrite of Bromdinitrophenylmalonic Ester, CaIl2Br(N02)oCN02(COOC2lIii)o. Although bromdinitrophenylmalonic ester does not change in color when heated with nitric acid, as has been stated more than once in previous papers* from this Laboratory, it really is affected in the same way as the corresponding trinitro compound, being converted into its nitrite, but without the formation of the i-ed secondary product which made the reaction so striking in that case. The substance was pre- pared as follows. A small quantity of the bromdinitrophenylmalonic ester (melting point 75° -76°) was heated on the steam bath with nitric acid of specific gravity 1.38 for five minutes, or longer (as the same compound was obtained if the heating was continued three hours) ; there was at first no sign of a reaction except a slight evolution of nitrous fumes ; but, as the heating continued, the undissolved solid melted, forming an oil drop, which after cooling solidified to a mass of crystals, while at the same time the acid liquid deposited crystals look- ing very much like those of the bromtrinitrophenyltartronic ester. All of these crystals were purified by recrystallization from boiling alcohol, until they showed the constant melting point 111°, when they were dried at about 70°, and analyzed with the following results : — I. 0.1973 gr, of the substance gave on combustion 0.2492 gr. of carbonic dioxide and 0,0510 gr. of water. 11. 0.2084 gr. of the substance gave 17.4 c. c. of nitrogen at a tem- perature of 22° and a pressure of 755.6 mm. Calculated for Found C6H,,Br(NO„)2CNOo(C02C2Hi;)2. I. II. Carbon 34.66 34.44 Hydrogen 2.67 2.87 Nitrogen 9.33 9.41 The substance therefore is the nitrite of the bromdinitrophenyl- malonic ester, and not the corresponding tartronic ester, as we had expected from the long heating used in one of the methods of preparation, and from the fact that no difficulty was encountered in making the combustion of it. Properties^ — The nitrite of bromdinitrophenylmalonic ester crys- tallizes usually in thick rhombic crystal often one miUimeter m each direction, which look somewhat like rhombohedra with a sharp acute angle, but are seen to be twins by the lines of twinning and stria- * These Proceedings, XXIV. 6, 257. 94 PROCEEDINGS OF THE AMERICAN ACADEMY tions ; the obtuse angles on these crystals are often truncated. Less commonly with the characteristic forms just described, long flattened prisms occur, which are terminated by a single plane at a shfrp acute angle, rarely by two. It is easy to see that the rhombic crystals could be formed by the twinning of these prisms. The crystals are very lustrous, of a white color, with a slight greenish cast, and melt at 111° without decomposition. The substance is es- sentially insoluble in cold water, very slightly soluble in hot; soluble in cold alcohol, more so, but still far from freely, in hot. It shows no signs of decomposition when boiled with alcohol. It is more soluble in methyl than in ethyl alcohol, cold or hot ; very freely soluble in ben- zol, chloroform, or acetone ; freely soluble in glacial acetic acid ; solu- ble in ether or carbonic disulphide; nearly, if not quite, insoluble in ligroine. Hot alcohol is the best solvent for it. Strong sulphuric acid has no action on it in the cold, but when hot dissolves a little of the substance after it has melted ; strong hydrochloric acid has no action, hot or cold ; strong nitric acid has no action on it in the cold, but when hot dissolves a little of it, which is deposited on cooling. Neither acid sodic carbonate nor neutral potassic carbonate had any action with it, even in presence of alcohol ; sodic hydrate in aqueous solution was without action ; if alcohol was added, a portion of the substance dissolved slowly with a yellow color, but most of the white crystals were left unattacked ; ammonic hydrate in aqueous solution had no action, with alcohol little or none. The substance behaves, therefore, as we should expect, a salt being formed only by a reagent like sodic hydrate strong enough to remove the NO2 group attached to the side-chain The nitrite of bromdinitrophenylmalonic ester is much more stable than the corresponding trinitro compound, since it is not decomposed by boiling with alcohol, or at its melting point, or by boiling with nitric acid ; for, as has been already stated, it could be made by boil- ing for three hours with nitric acid, whereas under these conditions the trinitro compound was converted into the tartronic ester. Nor did longer boiling of the dinitro compound with nitric acid produce the tartronic ester, as even after seven hours it showed the melting point of the unaltered substance 111°. As the trinitro tartronic ester had been obtained also by heating the corresponding nitrite, we tried the same experiment with the dinitro nitrite, and found that, when heated a few degrees above its melting point, it turned rather dark colored, and gave off bubbles of gas, in which bromine was rec- ognized by the smell. The residue was oily, but after solution in OF ARTS AND SCIENCES. 95 alcohol crystals were obtained which showed the characteristic rhombic form of the uitrite of broradinitrophenylmalouic ester. This experi- ment therefore seemed to show that the action of heat consisted only in the complete decomposition of a portion of the nitrite of bromdini- trophenylmalonic ester, and, as it did not promise to give the desired tartronic ester, further work in this direction was abandoned. Reduction of the Nitrite of Bromdinitrophenylmalonic Ester. The conversion of the nitrite of broratrinitrophenylmalonic ester into the corresponding tartronic ester by nitric acid, or by the action of heat, indicates that the group NO2 in the side-chain is attached to the molecule by oxygen instead of nitrogen, or, in other words, that the substance is a nitrite, and not a nitro compound ; but, as we could not consider this a conclusive proof of the oxygen attachment, we have studied the reduction of a body of this class, selecting for this purpose the dinitro compound, because it is more easily prepared than the corresponding substance containing three nitro groups, and also because the product obtained from it by reduction would probably be more stable than one containing one more amido group. Six grams of the nitrite of bromdinitrophenylmalonic ester divided into three lots of two grams each were mixed with granulated tin, strong hydrochloric acid, and a few drops of alcohol, and after adding a piece of platinum to accelerate the reaction, were allowed to stand on a steam radiator (50°-7U°) until all the organic matter had dis- solved, and no further action was observed, which happened usually in about an hour and a half. If quantities larger than two grams were used a very dark colored solution was obtained. The solution poured off from the excess of tin was freed from stannous and stannic chlorides by means of sulphuretted hydrogen, when a residue was obtained by evaporation of the filtrate, which gave off ammonia gas when treated with an alkaline hydrate, and formed a precipitate of ammonic chlor- platinate with chlorplatinic acid ; it evidently therefore contained am- monic chloride in addition to the chloride of the organic base. The washings of the suljihide of tin, which were worked up separately from the filtrate, on the other hand, yielded crystals which showed only a very slight amount of ammonic chloride by the same tests, and ac- cordingly these crystals were dried at 100°, and analyzed with the following results : — I. 0.1980 gr. of the substance gave 25.25 c. c. of nitrogen at a tem- perature of 23° and a pressure of 764.8 mm. 96 PROCEEDINGS OP THE AMERICAN ACADEMY II. 0.1 954 gr. of the substance gave by the method of Carius 0.1480 gr. of arijeutic chloride. Calculated for Found. CeHsNHsClCCUOIlCONH). I. 11. Nitrogen 13.96 1447 Chlorine 17.70 18.7 These results are not all that we could wish ; but although they show the presence of the small amount of ammouic chloride, which we had detected by the qualitative tests, they leave no doubt in regard to the composition of the organic substance, and therefore we have not thought it worth while to spend the great amount of time which would have been necessary to prepare a sample entirely free from ammonic chloride ; especially as these analyses prove that the group NO2 is attached to the side-chain by oxygen, since we obtained, by the reduc- tion of the nitrite of bromdinitroj^lienylmalonic ester, ammonic chlo- ride and the chloride of amidoxyoxindol instead of the chloride of diamidoxindol, which would have been formed if the group NO2 had been attached to the molecule by the nitrogen. Properties of the Chloride of the Amidoxyoxindol, C6H3NH3Cl(CHOHCONII). This substance was obtained crystallized in rather large plates, usu- ally in forms like a closed fan terminated by an obtuse angle, aud set in rows one over the other with the obtuse angles parallel, or arranged in branching arborescent forms like coral ; sometimes in thicker sharp prisms. It had a dark yellow color as we observed it ; was soluble in cold water, more so in hot ; slightly soluble in cold or hot alcohol, and insoluble, or nearly so, in most of the other solvents. The strong acids gave no striking reactions with it, except strong nitric acid, which turned it orange-red ; but this seemed to be due to some nitrous acid in the nitric, as on the addition of sodic nitrite the color was much intensified. Sodic hydrate added to the aqueous solution gave a few brown flocks, evidently from decomposition of a part of the base ; ammonic hydrate gave a tolerably heavy flocculeut precipitate, at first whitish, but turning brown on exposure to the air, but it showed no signs of crystallization, and with the small amount of substance at our disposal we have been unable to obtain the free base in any definite form. The chloride mixed with alcohol and some strong hydrochloric acid imparted after some time a dark red color to a piece of pine wood. OF ARTS AND SCIENCES. 97 Attempt to make Dinitrophenylenedlmalonic Ester. The results just described having shown that the behavior of brom- (liuitrophenylmalonic ester toward nitric acid was not so different from that of the trinitro compound as we had at first supposed, it became of interest to determine whether other apparent differences between these two bodies were no better marked, and accordingly we tried to make the dinitrophenylenedlmalonic ester by the method which had given good results with the trinitro compound as follows : — 3 gr. of bromdinitrophenylmalonic ester were dissolved in ether, and, after the addition of 1.5 gr. of malonic ester previously treated with 0.15 gr. of sodium in a large quantity of alcohol, the mixture was boiled under a return-condenser for three hours ; at the end of this time the solution had turned deep red, and a little solid had separated. The product was treated with water and dilute sulphuric acid, the ether separated, and the aqueous liquid tested for sodic bromide, which it was found to contain in small quantity, but the crystals deposited by the ether melted after one crystallization at 75° -7 6°, the melting point of bromdinitrophenylmalonic ester. We infer from this experi- ment, therefore, that, although a little dinitrophenylenedlmalonic ester may have been formed, its quantity was exceedingly small, and that the reaction, if it goes on at all, certainly takes place with much more difficulty in the case of the dinitro than in that of the trinitro compound. VOL. XXVI. (n. s. xviii.) 98 PROCEEDINGS OF THE AMERICAN ACADEMY VIII. CONTRIBUTIONS FROM THE CHEMICAL LABORATORY OP HARVARD COLLEGE. NOTE ON TRIBROMMONONITROBENZOL. By C. Loring Jackson and W. B. Bentley. Presented May 13, 1891. The results of experiments on the behavior of tribromtrinitrobenzol and tribromdiiiitrobenzol with various reagents have been described in a number of papers from this Laboratory. For the sake of complete- ness, we felt it necessary to include the tribrommononitrobenzol in our investigation, and were the more inclined to do this as we hoped that it might throw some light on the replacement of bromine by hydrogen, so often observed in our work with the trinitro and dinitro compounds. This hope has not, however, been fulfilled, as no such replacement of bromine by hydrogen was observed, and the tribrommononitrobenzol has proved to be so inert with various reagents, that it deserves only the short investigation the results of which are given in this paper. The tribrommononitrobenzol used in this work was prepared by boiling symmetrical tribrombenzol (melting point 119°) for 'fifteen minutes with a nitric acid made by adding to fuming nitric acid (specific gravity 1.51) one quarter of its volume of common strong nitric acid (specific gravity 1.38). The greater part of the tribrom- mononitrobenzol separated as the mixture cooled, and the rest was obtained by the addition of water to the acid mother liquor. This process gave better results than when acetic acid was used to dilute the fuming nitric acid according to the method given by V. von Richter.* Action of Tribrommononitrohenzol with Sodic Ethylate. The tribrommononitrobenzol melting at 125° was acted on by hot sodic ethylate giving a substance which we found it convenient to * Ber. d. eh. G., VIII. 1426. OP ARTS AND SCIENCES. 99 prepare as follows : — 5 gr. of tribrommononitrobenzol dissolved in benzol were mixed with an alcoholic solution of the sodic ethylate from 1 gr. of sodium, heated on the water bath just below boiling for some time, and then allowed to stand at a temperature a little above the ordinary for several hours. The red solution thus obtained was filtered from a precipitate which had formed, (this gave a test for bromide with argentic nitrate,) diluted with water, and acidified with dilute sulphuric acid, after which the benzol was separated from the aqueous liquid ; this was extracted with ether, and the combined extracts from the organic solvents purified by crystallization from alcohol until the constant melting point 91° was reached. Sometimes a black tarry product was obtained from the reaction, instead of the white crystals formed if the process had gone well. This tarry mass was worked up most conveniently by distillation with steam, followed "by crystallization of the steam distillate from alcohol. The pure substance was dried at about 70°, and analyzed with the following results : — I. 0.1900 gr. of the substance gave by the method of Carius 0.2181 gr. of argentic bromide. II. 0.3800 gr. of the substance gave 15.9 c. c. of nitrogen at a tem- perature of 22° and a pressure of 756.5 mm. Calculated for CeHjBraNOjOCjHg. I Bromine 49.22 48.85 Nitrogen 4.31 Found. II. 4.72 The substance is therefore dibromnitrophenetol, and was formed by the replacement of one atom of bromine by the ethoxy radical. Properties. — The dibromnitrophenetol crystallizes in bundles of prisms, which are usually somewhat flattened and terminated by a basal plane, also occasionally showing with this two other planes at an obtuse angle to each other. It is white, but turns brown on exposure to the air; melting point 91° ; essentially insoluble in cold water, per- haps very slightly soluble in hot ; alcohol disolves it sparingly when cold, freely when hot ; more soluble in methyl than in ethyl alcohol ; very freely soluble in benzol, chloroform, acetone, or carbonic disul- phide ; freely soluble in ether ; slightly soluble in cold glacial acetic acid, soluble in hot ; very slightly soluble in ligroine. The best solvent for it is hot alcohol. It distils with steam. Strong sulphuric acid has no action in the cold, but when hot gradually forms a black solu- tion ; cold nitric acid has no action on it, but when hot dissolves it, 100 PROCEEDINGS OF THE AMERICAN ACADEMY depositing crystals on cooling, which seem by their melting point to be the unaltered substance ; strong hydrochloric acid seems to have no action, whether hot or cold ; sodic hydrate seems not to act upon it. Action of other Reagents on TribrommononitrohenzoL Sodic methylate behaved in much the same way as the sodic ethyl- ate, except that it was necessary in this case to heat for a longer time, and even after this a certain amount of tribrommononitrobenzol was apt to be left unaltered. The product after crystallization from alcohol showed the constant melting point 104°, but its analyses gave percentages of bromine differing from those corresponding to dibrom- nitroanisol by about one per cent. The cause of this is probably the same as that of the similar want of agreement between the calculated and observed percentages in the case of the bromdinitroresorcine dimethylether ; * but we have not thought the substance of sufficient importance to try to obtain better analytical results, which, to judge by our work on the bromdinitroresorcine dimethylether, would be a matter of great difficulty. From these experiments it appears that the tribrommononitrobenzol acts with sodic alcoholates less easily than the tribromdinitrobenzol, which is attacked by them in the cold forming the ethers of bromdi- nitroresorcine, whereas it is necessary to heat the mononitro com- pound to bring about any action. When the tribromdinitrobenzol is heated with an alcoholate, the third atom of bromine is replaced by hydrogen and an ether of the dinitroresorcine is formed, but we found no trace of any action of this sort with the mononitro compound. It is to be noted, too, that only one atom of bromine is removed from the mononitro, but two from the diuitro compound. The inertness of tribrommononitrobenzol as compared with the cor- responding dinitro compound is made even more evident by the study of the action of aniline upon it. This substance converts tribromdi- nitrobenzol into trianilidodinitrobenzol, when heated with it for a short time, whereas the corresponding trinitro compound is formed in the cold ; from the mononitro substance we were unable to obtain any anilido compound, even after heating for some time to the boiling point of aniline ; a little aniline bromide was formed, it is true, but almost all of the tribrommononitrobenzol was recovered unaltered, as recognized by its melting point and very characteristic crystalline form. * These Proceedings, XXV. 175. OF ARTS AND SCIENCES. 101 No better result was obtained with sodium malonic ester, which acts on the dinitro and trinitro compounds in tiie cold, but even after boiling for some time with the tribrommononitrobenzol yielded only a very small quantity of sodic bromide, while almost all of the tribrom- mononitrobenzol was recovered unaltered. 102 PEOCEEDINGS OF THE AMERICAN ACADEMY IX. ON A KEPHIR-LIKE YEAST FOUND IN THE UNITED STATES. By Charles L. Mix. Presented by Professor W. Q. Farlow, May 26, 1S91. A SPECIES of 3'east which causes alcoholic fermeutation of n)ilk is well known in Europe, the attention of the leading scientists having been called to it by Edouard Kern, in an article published during November, 1881, and entitled, " Ueber ein neues Milch-ferment aus dem Kaukasus." In order to give an intelligible description of a similar ferment which exists in the United States, a summary of Kern's paper becomes a necessity. Kern's milk-ferment is found in the region of the Caucasus Moun- ta'ns, and so far as is known in no other j)lace. It is called by the Caucasian peasants "kephir," "kiphir," "kiaphir," or "kefir." The country being a mountainous one, agriculture is impossible, so that milk and flesh are the food of the peasants. However, they do not drink their milk fresh, but ferment it, adding to it what are known as " kephir-graiiis " in the proportion of one volume of the grains to six or seven volumes of milk. The whole is then exposed to the air for twenty-four hours at an ordinary temperature, and shaken fre- quently. The '' ferment-milk " thus formed is poured from the grains and mixed with twice its volume of fresh milk, which it ferments in turn, eliminating a large amount of carbonic acid gas, and forming from ?, % to 1% of alcohol. When kephir is made successfully, it is a thick fluid without any very large coagulated dumps, and with a pleasantly acid taste ; by longer fermentation it becomes a frothing, foaming, strongly acid drink, like the koumiss of the Steppes. According to Kern, this ferment is used not onlv as a driidv, but also as a curative for various diseases, with great success, various gastric and ])ulmonary complaints, it is said, being cuied by it. Its reputation, Kern continues, has extended beyond tlie narrow limits of the mountainous region where it originated, and has already reached many cities of the Caucasian district. OF ARTS AND SCIENCES. 103 Examined with the eye, the kephir-grains when fresh are found to consist of white, conipact, elastic masses, enveloped by a slime, and with a spherical or elliptical contour, varying from 1 mm. to 5 cm. in diameter. The very small grains have a smooth spherical exterior, while the larger ones are provided with outgrowths and furrows, look- ing more or less like a very small cauliliower. When the grains are dried they assume a yellowish brown color, and shrink a good deal by the loss of water. When examined with the microscope there are found in each grain, whatever its form or size, two different structures, yeast cells and Bacteria, The latter form the mass of the grain in which the yeast cells are embedded. The yeast cells occur in pairs or rows of cells of all shapes and sizes. Most of them are elliptical or spherical, the former varying from 3.2 /x to 9.6 /x, by 3.2 jx to 6.4 ju, the spherical ones varying from 3.2 /A to 6.4 /x in diameter. Each yeast cell has a plainly visible mem- brane with a double contour, brought out by stains. Within the cell is a vacuole, at the poles of which are often found small fat globules in no definite number, but which increase in number as the cell is dried, the protoplasm at the same time becoming granular, the vacu- oles diminishing in size and ultimately disappearing. The yeast cells increase by budding. Kern discusses the question of the possibility that the yeast cells may be the spores of some Mucor, as 3f. racemosus for example, since these are known to cause alcoholic fermentation ; but since cultures continued for weeks failed to show him a trace of mycelium, he con- cludes that there can be no doubt that these are true yeast cells. The origin of the kephir grains was unknown to Kern. He could find no wild form of yeast from which they might have been culti- vated ; nor could he gather any information as to their source from the peasants. They are said to grow in little clumps or granules on peculiar bushes found on the mountains just beneath the snow line. Kern could not induce the kephir yeast to form spores. He ex- plains the matter by saying that these yeast cells have for an infinity of generations grown in milk only, and have increased only by bud- ding. Hence, when they are exposed to conditions favorable for spore formation, they are unable to form spores. He declares the kephir yeast to be ordinary Sacchnromyces cerevisice, Meyen, saying that he cannot agree with Dr. Max Reess in classifying yeasts accord- ing to their form and size. The form and size of the cells vary too much ; besides, the variations are not constant, being conditioned partly by age, partly by the nature of the nourishing medium, and partly by the temperature. 10 i PROCEEDINGS OF THE AMERICAN ACADExMY The other portion of the kephlr-graiu is made up of Bacteria em- bedded iu a zoogloea mass which is firm and ehistic, comprising the bulk of the grain. The individual cells are short, cylindrical, and rod-shaped, 3.2 /x to 8 /j. long and 0.8 yu. broad, with homogeneous pro- toplasm. These cells increase by the regular splitting process charac- teristic of Schizomycetes. The Bacteria ia the zoogloea are motionless ; but in addition to these, when the kephir grain is placed in a nutrient solution, there are to be seen moving cells, exactly like the motionless ones in both form and size. By allowing these moving cells to dry upon a slide, then staining with Extract Campech. and removing the excess of the stain, Kern was able to demonstrate a very thin thread-like wavy cilium on but one of the ends of each cell. Exposed to unfavorable conditions the Bacteria cells grow out into Leptothrix threads, varying from 10 yx to 40 /a in length, which are merely the necessary consequences of successive cell-division in which the products do not separate from each other. At various intervals in the length of such a thread agglomerations of protoplasm occur. At first there is hardly an indication of the splitting of such a mass, there being merely tiny incisions on either side ; but these become larger and larger, until finally a single protoplasmic mass has given rise to two spores, separated by a regular ceK wall. Thus it happens that in a Leptothrix thread each cell has tw( spores situated one at either end. Kern mentions still another kind of spore formation, seen in the individual cells, which differs markedly frum that just described. In these cells spore formation begins with the appearance of a small bright point at each end of the cell. The points enlarge more and more, assume a well defined contour, and uliimately become true spores. The form is always round, the diameter never exceeding that of the mother cell before they are freed, but reaching 1 yu, after liberation. Kern names his kephir Bacterium Dispora Caiicasica, uov. gen. et nov. sp., with the following distinguishing characteristics: — (1.) The vegetative cells are in the form of short cylindrical rods, 3.2 /A to 8 /A long, and 0.8 /j. broad. (2.) In the zoiigloca condition the cells form white elastic clumps of considerable size. (3.) The moving vegetative cells liave on one end a thin, thread- like, wavy cilium. (4.) The spores are round ; when in the cells their diameter never exceeds that of the mother cell ; when free, they may reach 1 yu, in diameter. OP ARTS AND SCIENCES. 106 (5.) The round spores are alwajs two in number, one at each end of the cell. From this subject Kern passes to his last topic, the power of re- sistauce of the kephir-grains when subjected to external influences. Drying does not seem to deprive them of life. They contract a great deal, become dirty brown and hard as stone, so that they have even been called " little stones " or " pebbles " by the inhab- itants of the Caucasus district. In this dried state they are kept for long periods of time, yet under suitable conditions they are always ready to cause fermentation again. Kern himself kept some for two months in his room. They were thoroughly desiccated, yet when placed in milk agahi they became gradually white, and in a few days could not be distinguished from fresh specimens. Under the micro- scope the dried clumps show that the yeast cells suffer most, very many being dead ; the Bacteria seem to suffer very little, since they form spores. Having thus summarized Kern's paper rather fully because it bears directly upon my subject, I am in position to describe an American milk-ferment which I hope to show is almost, if not quite, identical with the European kephir. The material which I studied consisted of two sets of specimens placed in my hands by Professor Farlow of Har- vard University, to whom they had been sent by Dr. George Thurber, of Passaic, N. J., and Mr. J. Dearness, of London, Ontario. In both cases the specimens were in the form of rather small granules, very few being above a centimeter in diameter, of a dirty brown color, and presenting on their surfaces numerous lobes and fissures, thus remind- ing one of rather dirty gum-arabic. The material from Dr. Thurber was received in 1 888, and at that time had already lain in a dried con- dition in his herbarium for several years. The specimens from Mr. Dearness, undistinguishable to the naked eye from those of Dr. Thur- ber, were received in January, 1891, under the name of "California bees' beer," with the note that " housekeepers through this country (Ontario) keep a self-sealing jar of this Saccharomycete half filled or more with sweetened water. The fermented product is drawn and drunk for a tonic." The material from New Jersey and that from Ontario were prac- tically identical in gross and microscopic characters, the Ontario grains being as a rule somewhat smaller, and the following description ap- plies to both of them. In my experiments on the action in fermenta- tion I used principally the New Jersey material, which, in spite of the long time it had been dried, revived when placed in a nutritive fluid. 106 PROCEEDINGS OF THE AMERICAN ACADEMY I experimented with the Ontario material so far as to make sure that, like the New Jersey form, it caused a fermentation of saccharose ; but in studying the fermentation of other sugars I used only the New Jersey form. When soaked for a time in water, the grains become whitish, very firm and compact, and quite elastic. Examination under the micro- scope shows them to consist of two elements, a small proportion of yeast cells embedded in zoJgloea masses of rod-shaped Bacteria. Although in the dried specimens the ytast cells seem entirely dead, yet when placed in a nutrient solution they begin to grow vigorously. They vary in size and shape, from elliptical to spheiical, the aver- age diameter of tlie latter being 4.2 fx, and the former varying from 10.5 ft to 6.0 /A by 6 /x to 4 /i,. On careful examination, each yeast cell is found to have a plainly marked double contour, within which is an almost homogeneous protoplasm containing a small vacuole. Culti- vation of tlie yeast cells in water increases the size of the vacuoles, and causes the formation of small fat globules at the poles ; and culti- vation in strong solutions of saccharose produces two or even three vacuoles in each cell, together with numerous fat globules. When such cells are mounted in a mixture of acetic acid and glycerine, the vacuoles disappear, and the protoplasm becomes finely granular. The yeast cells increase by budding, growing best in solutions of dextrose and in milk, both of which they ferment ; and it is in these substances that the best colonies are to be found. In pure water, the yeast cells for a short time increase slowly in numbers by budding, but no colonies are met with since the daughter cell separates from the mother cell as soon as it is formed. In cane-sugar or saccharose solutions, which the yeast is unable to ferment, the cells increase very rapidly in numbers, but it is hard to find a colony of more than three cells ; whereas in milk and in solution of dextrose, colonies num- bering at least from ten to fifceen cells are very common. It was impo>sible to induce spore formation ; and indeed the very fact that the yeast cells gave rise to new cells by the simple process of budding after they had been dried for several months seems to war- rant the conclusion that there is no spore formation. That they are yeast cells, and not spores of Mucor racemosus or any otluT Mucor, is shown by the fact that not a particle of mycelium was found during the three months in which the yeast was under observation. Kern decided his yeast to be a form of Saccharonvjces cet-evisits, Meyen. In the case of the North American kephir, the species evi- dently is not S. cerevisicE, however much it resembles that species in OF ARTS AND SCIENCES. 107 general appearance, for it cannot invert cane-sugar as ordinary beer yeast sliould do. Although I cultivated it in saccharose solutions of all strengths, it never caused a trace of fermentation. As soon, however, as T placed the yeast in a grape-sugar solution, i. e. a solu- tion of dextrose, fermentation ensued. Unfortunately, Kern did not try the effect of his yeast upon saccharose, and we are therefore unable to compare his yeast with that found in American kei)hir iu this important point. But the absence of information can hardly be urged as an evidence that the two forms are not the same. Again, ordinary beer yeast forms spores, while the kephir yeast does not, thus affording another reason for reganliog them as distinct species. Beyerinck has described the yeast which occurs iu the Caucasian kephir grain in the " Ceutralblatt fiir Bakteriologie," Vol. VI. page 44, naming it Saccharotuyces kefyr with the following distinguishing characteristics : — (i.) The cells are of various sizes and shapes, from spherical to elliptical, the former measuring from 3.2 /a to 6.4 /x in diameter, and the latter varying from 3.2 /x- 9.6 /a in the major axis to 3.2 /a — 6.4 /i in the minor. (2.) The yeast is associated with a rod-shaped Bacterium in a granular mass. (3.) The yeast is not able to ferment saccharose or cane-sugar. (4.) It is able to ferment lactose or milk-sugar. (5.) It has no known spore formation. Since the North American yeast agrees with all these characteristics, while it differs in an im- portant point from S. cerevisice, it will be sufficient for the present purpose if I apply the name S. kefyr to our American fosra without attempting to discuss at lengtli disputed points in synonymy. Let us turn now to the Bacteria. The cells are short cylindrical rods with homogeneous protoplasm, varying fiom 8.5 fx. to 4.5 yu, long by 0.8 /x broad ; precisely agreeing with Kern's measurements. The cells increase by splitting perpendicularly to the long axis, the result- ing cells being somftimes joined together, thus producing Leptothrix- like threads of all lengths, even to I20yu., and sometimes completely separated. Many oi the isolated cells possess the power of motion, but after repeated efforts I was unable to demonstrate the presence of cilia. It is not such an easy matter to induce these cells to form spores as Kern implies that it was in the case of his B;cteria. The best method is to place a clump of the yeast in a watch-crystal with a little water, covering the whole with another crystal. In twenty-four hours 108 PROCEEDINGS OF THE AMERICAN ACADEMY Leptothrix threads, which seem to precede spore formation, begin to form, and within thirty-six to forty-eight hours the spores api'ear. It will be remembered that Kern gives two distinct methods of spore formation, — one occurring in isolated cells, and the other in the Leptothrix threads. It is no wonder, therefore, that neither method has received general credence. My investigations on the North American form have led to results diametrically opposed to those of Kern. First, I found but one method of spore formation ; secondly, I found this method occurring only in the Leptothrix threads, although I sometimes found isolated cells bent or curled in such a manner that spore formation was well simulated. Spore formation in the Leptothrix threads takes place as follows. At each end of every cell of the thread a small bright dot appears, which becomes brighter, larger, and much more highly refractive than the rest of the cell, until finally it assumes a well defined spore wall and develops into a mature spore. Each cell has therefore two spores, one at each end, and each originating independently of the other. In no case did I see two spoi'es formed, as Kern states, by the division of a single agglomerated mass of protoplasm into two portions. There are two or three other important points in which the Ameri- can alcoholic milk-ferment closely resembles the Caucasian kephir. So far as I know, no one has ever tried the experiment of making the North American yeast cause the alcoholic fermentation of milk. Struck with its gross and microscopic resemblances to kephir, I was induced to try the experiment, and to my pleasure I obtained alcoholic fermentation, the evolution of carbonic acid gas being suflftcient to force the cork from the flask. I easily obtained a large precipitate of CaCOs from lime-water by the usual test for carbonic acid gas. The presence of alcohol was proved by the iodiform test. Since ethyl alcohol, Co H5OH, cannot be detected in the presence of lactic acid, CsHgOg, (for lactic acid forms iodiform as easily as ethyl alcohol,) I neutralized with Na^COs after filtering off the fluid por- tion of the milk, distilling finally the neutralized filtrate. Thus every trace of lactic acid was removed. With KOH and iodine the dis- tillate gave iodiform, thus proving the presence of alcohol. This fact alone, viz. that this yeast causes alcoholic fermentation of milk, is sufficient to establish a near relation to the Caucasian kephir. More- over the fermented milk agrees closely with the description of the kephir drink. The milk does not sour in the ordinary sense, for it does not coagulate in large masses ; still it is acid, contains some carbonic acid gas and alcohol, and is by no means unpleasant to the taste. OP ARTS AND SCIENCES. 109 Another way in which this American milk-ferment resembles kephir is, that it causes alcoholic fermentation of dextrose. De Bary is authority for the statement, that the "• kephir yeast, like its con- stituent the Saccharomycete, working by itself, gives rise to alcobolic fermentation in a nutrient solution of grape-sugar, though of a less active kind than that caused by beer-yeast." * The specimen which I had gave a good alcoholic fermentation with dextrose solutions, but caused no fermentation with saccharose. It seems, therefore, to have the power of fermenting only two of our natural sugars, — dextrose and milk-sugar. When we consider the remarkable similarity of these American grains with the kephir granules in color, shape, and general appear- ance; the great similarity between the j^east cells and bacteria of each in appearance, habits, mode of growth, form, and size; the fact that both of these yeasts cause alcoholic fermentation of milk ; the fact that the drink formed by the American kephir closely resembles the description of kephir ; the minor resemblance between the two, that of fermenting dextrose solutions, and that of its great capacity for resisting external influences, — we are justified in concluding the American milk-ferment to be a very near relative of the European kephir, if it be not indeed identical with it. One point remains, viz. How can this yeast cause alcoholic fermen- tation of milk-sugar ? This question, which did not present itself to Kern, De Bary has tried to explain in his ' Lectures on Bacteria.' Speaking of kephir, he says, " The changes in the milk which produce the drink here described are brought about by the combined activity of at least three ferment-organisms." There is the yeast cell, the Bacillus of the kephir-grain, and the Bacterium of lactic fermentation. He goes on to say that " the acidification is caused by the conversion of a portion of the milk-sugar into lactic acid by the bacterium of that acid. The alcoholic fermentation, that is, the formation of alcohol and of a large part at least of the carbonic acid, is indebted for its material to another portion of the milk-sugar, and for its existence to the fermenting power of the Sprouting Fungus (yeast). , . . But al- coholic fermentation is produced in milk-sugar as such neither by Sac- charomycetes, with which we are acquainted, nor, as experiment has shown, by those of which we are speaking. To make this fermenta- tion possible the sugar must first be inverted, split into fermentable kinds of sugar." De Bary continues: "According to Nageli, the for- * Lectures on Bacteria, De Bary, translated by Garnsey and Balfour, p. 96. 110 PROCEEDINGS OF THE AMERICAN ACADEMY mation of an enzyme which inverts milk-sugar is a general phenome- non in Bacteria, and Hueppe has shown that it is probable in the case of his Bacillus of lactic acid in particular." De Bary then concludes: > " The inversion required in this case to enable the Saccharoraycete to set up alcoholic fermentation is the work therefore of the Bacillus of lactic acid, or of the Bacterium of the Zoogloea, or of both." But De Bary has since revoked this explanation. A. Levy of Hagenau discovered that kephir may be made without any kephir grains "simply by shaking the milk with sufficient violence while it is turning sour. A trial convinced me," says De Bary, " of the correct- ness of this statement. The kephir obtained by shaking was not per- ceptibly different in taste or other qualities from the kephir of the grains, and the determination of alcohol, kindly made for me by Pro- fessor Schmiedeberg gave 1 per cent in some specimens of the former kind and 0.4 per cent in one of the latter; sour milk not shaken con- tained no trace of alcohol or only a doubtful one. Our former expla- nation, therefore, must be abandoned, and there is no other ready at present to take its place." Beyerinck has also proposed a theory to account for alcoholic fer- mentation of milk. There are at present, he sa,ys, four yeasts which are known to cause such fermentation: (1) that of Duclaux,* (2) that of Adametz, called Saccharomyces lactis,^ (3) that of the kephir called by Beyerinck Saccharomyces hefyr, and (4) Saccharomyces Ty- rocola.% As a matter of fact there is one other which he overlooked, Saccharomyces galacticola, described by Pirotta,§ of which I intend to speak later. Beyerinck supposes that these yeasts secrete an enzyme which he names lactase, since it inverts lactose or milk-sugar, and which he declares to be in every way analogous with invertine. The inverted milk-sugar is next acted upon by the yeast, carbonic acid gas eliminated, and alcohol formed. Hence, if his supposition be true, Saccharomyces kefyr should ferment sweet milk by first producing its enzyme and then by acting upon the inverted product ; but it is universally agreed by all who have written upon kephir that the lactic acid fermentation must precede the alcoholic, or else the latter will not take place. Beyerinck's theory therefore fails, in that it pays no heed to the Bacteria of lactic fermentation. * Ann. d. I'lnst. Pasteur, 1887, I. 573. See Ibid.. 1889, III. 201. t Centralblatt. f. Bakt. u. Parasit., V. 116. \ Ibid , VI. 44. § Pirotta et Rib. Studii eul Latte. Pavia, 1879. OP ARTS AND SCIENCES. Ill I have experimented with our North American ferment and find the facts to be these: (1.) It causes alcoholic fermentation of milk- sugar or lactose, Ci2H220n. (2.) It causes fermentation of dextrose, CsHioOg. (3.) It does not cause fermentation of saccharose or cane- sugar, which has the same empirical formula as lactose. In addition to these three facts it is also known, as Ilueppe has shown, (1) that the Bacillus of lactic fermentation causes to some extent the inversion of milk-sugar; (2) that lactic acid, according to Hammarsten, by stand- ing with milk-sugar inverts it to dextrose and galactose just as does any mineral acid ; (3) that the Bacillus of lactic fermentation acts further on the galactose, CeHjaOe, convening it into two molecules of lactic acid, CsHgOs. From these data it seems evident that alcoholic fermentation of milk takes place in the followiug manner. The Bacillus acidilactis begins the process by forming some lactic acid, which in turn, assisted by the Bacillus itself, inverts the milk-sugar to galactose and dextrose. The galactose is further acted upon by Bacillus acidi-lactis and con- verted into lactic acid ; the dextrose is acted upon by the yeast, and converted into alcohol and carbonic acid gas. In the kephir drink, therefore, we should find plenty of lactic acid, a little milk-sugar, not inverted, the amount depending upon the duration of fermentation, some alcohol, and carbonic acid gas, — precisely what is found. One vital objection may, however, still be urged against this theory. If it be true, as I have said, that the Bacillus acidi-lactis to some extent, and the lactic acid to a greater extent, cause the inversion of milk-sugar, then should not ordinary beer yeast, SaccJiaromyces cere- visice, Meyen, cause alcoholic fermentation in sour milk, since the milk-sugar, according to the theory, must be here inverted to fermenta- ble dextrose and to galactose ? It should cause such fermentation ; and if it does, the theory is confirmed. Upon experiment, I found that ordinary beer yeast when added to sour milk or to milk on the point of souring did cause fermentation, much carbonic acid gas being elimi- nated and some alcohol formed ; sweet milk, however, did not ferment with beer yeast. It will be observed that I have given no function to the Bacteria of the kephir granules. The very fact that they remain almost wholly in the Zoogloea masses during fermentation, comparatively few going out into the milk, seems to indicate that they have little to do with this alcoholic fermentation ; and this is made still more probable by the additional fact that, though absent in the fermentation of sour milk by beer yeast, still fermentation ensues. 112 PROCEEDINGS OP THE AMERICAN ACADEMY To this theory De Bary has objected that kephir can be made simply by shaking milk which is on the point of souring, such kephir being called Pseudo- or Schijttelkepliir. He refers to a paper by A. Levy,* of Hagenau, in which Levy claimed that ordinary sour milk shaken in a flask with eight or ten parts of cold boiled milk at about 10° R. gave carbonic acid gas, lactic acid, alcohol, and peptone. But Levy says, by shaking, the air is introduced, and the fermentation and peptonization are probably brought about by micro-organisms, which are very numerous in milk. Franz Kogelmanu f has also published a method for obtaining kephir easily and cheaply. Take one volume of ordinary buttermilk, shake with two of fresh, and there is obtained a fluid " identical with kephir," containing carbonic dioxide, alcohol, lactic acid, casein, etc. Notwithstanding these claims, there is some doubt about the identity of Schiittelkephir and Kogelmann's kephir with the true sort, as Rudeck's % table shows. Milk. One Litre. Kogelniann's Kephir. Pseudo Kephir. True Kephir, 36 hours. Casein 48.00 35.00 38.00 36.50 Butter 38.00 11.00 16.00 18.00 Lactose 41.00 9.00 13.00 18.00 Lactic acid 14.50 11.00 6.00 Alcohol .... .... Trace 5.00 Albumen 1.80 ii 1.50 Peptonized albumen . . 0.90 ii 2.00 Lactosyntonid .... 0.40 t Trace 0.80 Peptone • • • • 0.48 Salts and Water . . . 871.20 929.20 922.00 911.72 Totals 1000.00 1000.00 1000.00 1000.00 • Despite this table, however, it is not improbable that alcoholic fer- mentation often does actually take place in Kogelmanu's and Levy's methods, as the following paragraph may show. * Die wahre Natur des Kefirs. Deuts. Med. Ztg., 1886, p. 783. t Ueber Milchwein (Kefir). Ibid See also Pharm. Cent. Halle, XXVII. 42. X Pharm. Ztg. Berl., XXXIII. 420. OF ARTS AND SCIKNCKS. 113 Levy aud Kooelmann were by no means the first to experiment on this j-ubject. Blondlot,* as early as 1872, found tliat he could obtain alcoholic fermentation in milk simply by shaking it. Pirotta investi- gated this fermented fluid, and found a yeast, wliich he named Sur- charomyces galacticola, identical with Succharomyccs ccrevisice in appearance, size, spore formation, and in the fact that both ferment sour milk. It is not improbable, therefore, that this yeast may be nothing more nor less than Saceharomyces cerevisice itself, and that ordinary beer yeast is one of the micro-organisms which sprung up in Levy's kephir, of which he unfortunately omitted to make a microscop- ical examination. Hence De Bary's objection that sour milk, simply shaken, veill give alcoholic fermentation, loses its significance. Throughout Germany and Russia kephir has become a very cele- brated drink, simply because a considerable portion of the albuminoids of the milk are peptonized. For persons of weak digestion, for chil- dren, and for dyspeptics generally, it is an excellent diet, since it re- lieves the stomach of much of its work. Hence the fame of kephir has spread far and wide, and a kejihir factory has been started at Hamburg. The following table, taken from J. Biel's " Ueber die Eiweisstoffe des Kefirs," shows this peptonization very neatly. In 100 parts of kephir were obtained : — Kepliir fcriiiiMitt'd One Day. Kephir fermented Two Days. Kephir fermented Three Days. Lactic acid 0.510 0.5625 0.6525 Lactose 3.750 3.2200 3.0940 Casein 3.340 2.8725 2.9975 Albumen 0.115 0.0300 0.0000 Acid albumen 0.095 0.1075 O.'J.-jOO Peptonized albumen . . . 0.190 0.2815 0.4085 Peptone 0.035 0.0460 0.0815 From the table it is evident that the casein and albumen decrease during fermentation, while the peptone, peptonized albumen, and acid albumen increase. This is shown still better by another table. * Comptcs Rciidus, LXXIV. 5-34. VOL. XXVI (n. S. XVIII.) 8 114 PROCEEDINGS OF THE AMERICAN ACADEMY In 100 parts of albuminoids were obtained : — Kephir fermented One Day. Kcphir fermented Two Days. Kejiliir ftrmented Three Days. Casein .... . . Albumen Acid albumen Peptonized albumen . . . Peptone 88.47 3.05 2.52 5.03 0.93 86.07 0.90 3.22 8.43 1.38 80.20 0.00 6.69 10.93 2.18 An analysis of the milk fermented by the American yeast shows the presence of peptone, in some quantity, whereas sour milk fermented by beer yeast gave only a trace, thus agreeing with Rudeck's analysis for Kogelmann's kephir. From these analyses there is but one in- ference,— the peptonizing power must lie, not in the Bacillus acidi- lactis, which is common to all these true and false kephirs, but in the yeast which Beyerinck has named Saccharomyces l^efyr, and which exists in the United States. In conclusion, I would return my thanks to Prof. W, G. Farlow and Prof. H. B. Hill, for advice given during the progress of my work. OF ARTS AND SCIENCES. 115 X. DAMPENING OF ELECTRICAL OSCILLATIONS ON IRON WIRES. By John Trowbuidge. Presented May 27, 1891. It has generally been assumed by those who have studied the subject of very rapid oscillutious of electricity, such as occur in Leyden jar discharges, that the magnetic character of the conductor has very little influence upon the character of the discharge. Thus, in a note to an article on electrical waves, W. Feddersen states that electrical oscilhitions may suffer a slight weakening on iron ; but this diminu- tion is very slight : — " Beim Eisen konnte in Folge der Magnetisirungen eine Abweichung hervortreten ; in dess zeigt der Versuch, dass dieselbe keiuenfalls be- deutend ist, iibrigens in dem Sinne erfolgen miisste, als wenn die Elektiicitiit beim Eisen ein grossere Hinderniss fande, wie bei den ubrigen Metallen."* In Dr. Lodge's treatise on Modern Views of Electricity (ed. 1889), we find the following : — " But in the case of the discharge of a Leyden jar iron is of no advantage. The current oscillates so quickly that any iron intro- duced into its circuit, however subdivided into thin wires it may be, is protected from magnetism by inverse currents induced in its outer skin, and accordingly does not get magnetized ; and so far from in- creasing the inductance of the discharge circuit, it positively diminishes it by the reaction effect of these induced currents ; it acts, in fact, much as a mass of copper might be expected to do." (p. 3Go.) Fleming writes as follows : — " With respect to the apparent superiority of iron it would natu- rally be supposed that, since the magnetic permeability of iron bestows upon it greater inductance, it would form a less suitable conductor for discharging with great suddenness of electric energy. Owing to the fact that the current only penetrates just into the skin of the conductor, * Annalen der Physik und Chemie, No. 108, 1859, p. 499. 116 PROCEEDINGS OF THE AMERICAN ACADEMY there is but little of the mass of the iron magnetized. Even if these instantaneous discharges are capable of magnetizing iron, . . . the electromotive impulses or sudden rushes of electricity do not mag- netize the iron, and hence do not find in it any greater self-inductive opposition than they would find in a non-magnetic but otherwise simi- lar conductor. Dr. Lodge's further researches seem to show that there is a real advantasre in using iron for lightniiiij conductors over copper, and that its greater specific resistance and higher fusing point enables an iron rod or tape to get rid safely of an amount of electric energy stored up in the dielective which would not be the case if it were copper." * Fleming describes in full Dr. Lodge's experiments to prove the non-magnetizability of iron by sudden discharges : — " In the experiments on alternative path, as described by Dr. Lodge, the main result is very briefly summed up by saying that, when a sudden discharge had to pass through a conductor, it was found that iron and copper acted about equally well, and indeed iron sometimes exhibited a little superiority, and that the thickness of the conductor and its ordinary conductivity mattered very little indeed. ... In the case of enormously rapid oscillations the value of the impulsive impedance varies in simple proportion to the frequency of the oscillations, and depends on the form and size of the circuit, but not at all on its specific resistance, magnetic permeability, or diame- ter. . . . For discharges of a million per second and ujiwards, such as occur in jar discharges and perhaps in lightning, the impedance of all reasonably conducting circuits is the same, and independent of con- ductivity and permeability, and hardly affected by enormous changes in diameter." f Turning now to the observations of Hertz, we find it stated that the material, the resistance, and the diameter of the wire of the microm- eter circuit employed by him, have very little influence on the result. The rate of propagation of an electrical disturbance along a con- ductor depends mainly on its capacity and coelHcient of self-induction, and only to a small extent on its resistance. Hertz concludes that, owing to the great rapidity of the alternations, the magnetism of the iron is unable to follow them, and therefore has no effect on the self- induction. When a portion of the micrometer circuit employed by Hertz was surrounded by an iron tube, or replaced by an iron wire, no perceptible effect was obtained, and thus the result was apparently * Fleming, Inrluction of Electric Currents, p. 398. t Ibid., p. 411. OF ARTS AND SCIENCES. 117 confirmed that the magnetism of the iron is unable to follow such rapid oscillations, and therefore exerts no appreciable efiect. The velocity of propagation in a wire has a definite value independent of its dimensions and material. Even iron wires offer no exception to this, showing that the magnetic susceptibility of iron does not ])lay any l^urt in the case of such rapid motions.* Altlioiigh the iin[)ulsive impedance is apparently not affected by the magnetic character of the wire, experiments lead me to believe that discharges of the quick period of a Leyden jar are affected very appre- ciably by tlie magnetic nature of iron, steel, and nickel conductors. This effect, is so great that it dampens the electrical oscillations, and makes it difficult to determine whether the time of oscillation is also affected by the permeability of the conductor. The apparatus em[)loyed was similar to that described in the in- vestigation of electrical oscillations with an air condenser.! Certain important modifications, however, were made. The plane mirror which was used in the former research was replaced by a concave mirror of ten feet focus and three and a half inches in radius. This mirror was mounted upon the end of the armature shaft of a one-half horse- power electric motor. The discharging apparatus consisted of a sharp cutting tool, insu- lated, and mounted on the edge of the rotating disk bearing the mirror. It was metMllically connected with a grooved ring of brass miounted upon the shaft and insulated from it by hard rubber. Around this was wound a copper wire, one end of which was connected with the discharging wire, and the other drawn taught by a rubber band. The electrical discharge was thrown on to the circuit by thrusting forward a lever which brought a solid hinged frame containing a strip of soft type-metal into contact with the rapidly revolving steel cutting tool. An electrical contact was thus insured by the tool cutting a groove in the strip of type-metal. In order to avoid a spark at the contact, the type-metal was thickly covered with a wax of peculiar composition. The only spark that occurred, therefore, was the one the oscillations * " Ersetzen wir den bisherigen Kupferdraht durch einen dickeren oder dunneren Kupferdraht oder durch einen Draht aus anderem Metall, so belialten die Knotenpunkte ilu'e Lager bei. Die Fortplanzungsgeschwindigkeit in alien solchen Driihten ist daher gleich, und wir sind berechtigt, von derselben als einer bestimmten Geschwindigkeit zu redcn. Auoh Eisendrahte machcn keine Ausnahme von der allgemeinen Kegel, die Magnetisirbarkeit des Eisens kommt also bei so schmalen Bewcgungen nicht in Betracht." — Ann. der Physik und Cheniie, No. 34, 1888, p. 558. t Tiiese Proceedings, Vol. XXV. p. 109. 118 PROCEEDINGS OF THE AMERICAN ACADEMY of which I desired to study. At each trial the type-metal was moved so as to expose a new cutting surface. The type-metal was insu- lated from the rest of the apparatus, but connected with the outer coating of the Leyden jar ; first both terminals of the Holtz machine were thrown off, and immediately after the cutting tool, ploughing its way through the type-metal, placed the' outer coating of the Leyden jar in circuit with one of the two parallel wires leading to the ter- minals of the spark. The other wire was permanently in connection with the inner coating of the jar. Beside the short lead wires above described, the discharging circuit consisted of two parallel wires 30 cm. apart and 510 cm. long. These were the only portions of the apparatus changed during the experi- ment, and they were replaced by wires of different material and of different size. The other conditions — length of spark, lead wires, and the copper cross wire connecting the outer end of the long parallel wires — remained undisturbed throughout the experiment. The Leyden jar was charged each time as nearly as possible to the same potential, judging by the number of turns given the Holtz ma- chine. It is unfortunate that no more accurate means of measuring it were at hand, although the different negatives showed but slight varia- tion. The capacity of the jar to alternations of this period was 5060 electrostatic units. I describe the discharging portion of the apparatus minutely, for the success of an investigation of this na'ture depends upon the sup- pression of all sparks save that which one wishes to observe ; and the method surely and completely accomplished this. The photograph of the spark could thus be made to fall very accurately on the sensitive plate. When one considers that the image of the spark was flying through the air on a circle of a radius of ten feet with a velocity of a mile a second, it will be seen that an extremely small deviation in the point of contact between the cutting tool and the type-metal would have thrown the image entirely off the sensitive plate, A singular phenomenon was noticed in this connection. When a comparatively low potential was used, such as that afforded by the air condenser used in our previous investigation, the cutting tool ploughed two or three millimeters along the surface of the type-metal before a spark passed at the point in the circuit where it was de>ired. With higher poten- tials this phenomenon was also observed, but the extent of cutting was diminished. It is possible that that the insulating wax may have melted under the sudden blow of the cutting tool, and, flowmg around it, prevented OP ARTS AND SCIENCES. 119 instant contact. This seems to us improbable, for a deep and clear- cut groove was made in the soft type-metal. Great attention was paid to the solid structure of this contact apparatus. It was entirely separate from the support of the revolving parts, and was perfectly steady. The other end of the armature shaft was lengthened into a cylin- drical chronograph, similar to that described in the article already cited, and its performance left nothing to be desired. A small Kuhmkorf coil, excited by two storage cells, and interrupted by a seconds pendulum, gave a record of the speed of the mirror. The stylus which drew the spiral turns on the barrel of the chronograph was drawn along the barrel by means of a small heavily loaded car- riasfe, which, ou beins released at the moment the lever arm threw the type-metal in contact with the cutting tool, descended an inclined plane of adjustable height. A small Topler Holtz machine charged a large Leyden jar, and it was found to work admirably in all states of the weather. The apparatus which I have thus described was the result of the expe- rience of the previous year, and worked for months without failure ; and the taking of photographs of the oscillatory discharge by it be- came a mere matter of routine. The following cases were tried : — (1.) When the long parallel wires were of copper (diameter .087 cm.), the number of double oscillations visible on the negatives averaged quite uniformly 9 or 9.5. (2.) When the wires were of German silver (diameter .061 cm.), three oscillations were visible. (3.) But when an annealed iron wire (diameter .087 cm.) was substituted, only the first return oscillation was distinctly visible, with occasionally a trace of the first duplicate discharge. (4.) On substituting fine copper wire (diameter .027 cm.), five complete oscillations were quite uniformly visible. (5.) Fine German silver wire (.029 cm.), nickel wire (.019 cm.),* soft iron (.027 cm.), and piano steel wire (.027 cm.), gave but faintly the first return discharge after the pilot spark. The pilot sparks were in all cases strong. The single return discharge through the iron wire did not admit of measurement sufficiently accurate to furnish any basis for calculation of its self-induction. The time did not apparently differ, if at all, by * Obtained by the kindness of Joseph Wharton, Esq., of Philadelphia. 120 PROCEEDINGS OF THE AMERICAN ACADEMY more than fourteen or fifteen per cent. Some general reasoning based upon the number of oscillations may be of interest. It must be acknowledged, however, that' this reasoning is open to criticism, although it affords the most plausible explanation. The phenomenon itself is not a doubtful one. The time of a double oscillation for the large-sized copper wire was .0000020 sec; for the small copper wire, .0000021 sec. The others as far as could be determined did not differ much from these values, and for this purpose either is sufficiently accurate. Denote by R' the ohmic resistance of the parallel wires to alternating currents of this periodicity ; by R, the resistance to steady currents. p^ — = 3,000,000 (practically). Taking the cases up in order : (1.) Large copper wire, R = 0.285 X 10^ and substituting in Lord Rayleigh's formula, R' = y/^plixR, i?' = 0.66 X 10^ (2.) Large German silver wire, i? = 9.2 X 10^ and substituting in the series ^ ^ V + 12 ~^r ~ i8o E* +•••;' R> = 9.2 X 10^ (3.) Large iron wire, R =2.5 X 10^ and if there is a true time lag, as often stated, such as to prevent action of the magnetic property of the iron, and if on this assumption we make /a = 1, R' = 2.78 X 10^ (4.) Fine copper. R =3.S X 10^ R' =3.5 X 10^ (5.) Again, as before, call yu, = 1 in iron, nickel, and steel. The lenjith of these circuits was 7.41 meters, the remaindi^r of the 10.20 meters — 2.79 meters — being of copper wire of R' =: 0.94. Tlie value of R' in the separate cases, including in each the resist- ance 0.94 of the copper portion, was as follows : — OP ARTS AND SCIEN'CES. 121 Soft iron Piano steel Nickel . . German silver 15.0 X 109 20.7 X 10^ 30.G X 109 23.0 X 109 The ratio of the strengths of successive discharges during the oscil- rT lation is given by the function e^^, where r is the ohmic resistance, T the time of a double oscillation, and L the self-induction. The ratio of one discharge to the nth one after it is e'^2/;. If we as- sume— and it is a large assumption, but one which perhaps the result will in some measure justify — that the ratio of the strength of the first to the strength of the last visible discharge is more or less a constant, T we may make use of the above data. Denote ^^ by A, and call the unknown resistance of tlie short connecting lead wires and of the spark X. Then will r =. R' -\- x, and ?i will be the number of com- plete oscillations visible. Take cases (1) and (2), large copper and large German silver wires : — n^ {R\ + X)^ «2 (i?'2 + x) ; 9.5 (0.66 + x) =z 3 (9.2 + x) ; X ■= 3.4 ohms. Taking cases (1) and (4) similarly, «i (E\ + x)=n, (R', -f x) ; 9.5 (0.66 + x) = 5 (3.5 -f- x) ; X = 2.6 ohms. Experiments with other copper wires having 7?' equal to 3.4 and 1.27 gave 0 and 8 for the values of n respectively, or X = 2.4 ohms. The resistance (R') of the lead wires forming part of x was 0,8 ohm, leaving as a possible value for tiie resistance of the spark about 2 ohms. If, taking this value of x, we calculate the value of R' necessary to damp out the oscilhition in one complete double discharge iu the case of the large iron wire, we shall have 9.5 (0.66 X 3) =. 1 (R' + 3); R' = 30 ohms. 122 PROCEEDINGS OP THE AMERICAN ACADEMY But neglecting the magnetic property of the iron, its calculated re- sistance to alternating currents of this periodicity was R' = 2.78 ohms. This is obviously inadequate, and would point to the conclu- sion that the oscillation is not, as sometimes stated, too rapid to admit of the magnetic action of the iron. If we substitute this value H' = 30 in the equation we have for the resulting value of the magnetic permeability jx = 230. This lies between the limits yu, = 103 and /x = 1110, found by taking the number of oscillations one and a half and one half respectively for the case of the iron wire. It should be noticed that this estimate of fx necessitates assuming that T and L remain the same within broad limits. Measurements of the single oscillation on the negatives show that this is near enough the case. Part of the more rapid decay of the oscillation in the iron may be well ascribed to the dissipation of energy by hysteresis. While we cannot place much reliance upon an estimate of its value in such a case, — its percentage effect probably increasing rapidly with the decay of the spark, — it is not difficult to show that its influence may be very great. There still remains the fact, not generally recognized, that, in Ley- den jar discharges through iron wires, the magnetic property of the iron has time very materially to modify the character of the spark. We give an example of the measurement of the half-oscillation which was the only one visible on the photograph of the discharge over iron wires, all the others having been dampened or extinguished by the iron, in compari>on with the measurement of the similar half- oscillation on copper wires of the same diameter as the iron wires. The number of oscillations on the copper wires was eight. The total duration of the discharge on iron wires was only three millionths of a second, while that on similar copper wire was three hundred-thousandths of a second. A steel wire gave the same results as the annealed iron wires. Comparative Leiigths of First Half-oscillation in Millimeters. Fine Iron Wire. Fine Copper Wire. .23 .19 .21 .20 .19 .20 .21 .19 OF ARTS AND SCIENCES. 123 Large Iron Wire. Large Copper Wire. .20 17 .20 18 .19 .20 I9 .18 I wish to express my deep obligations to my assistant, Mr. W. C. Sabine, for bis valuable suggestions and for his skill in the mechanical details of this investigation. Conclusions. 1. The magnetic permeability of iron wires exercises an important influence upon the decay of electrical oscillations of high frequency. This influence is so great that the oscillations may be reduced to a half-oscillation on a circuit of suitable self-induction and capacity for producing them. 2. It is probable that the time of oscillation on iron wires may be changed. Since we have been able to obtain only a half-oscillation on iron wires, we have not been able to state this law definitely, 3. Currents of high frequency, such as are produced in Leyden jar discharges, therefore magnetize the iron. Jefferson Physical Laboratory, Cambridge. 124 PROCEEDINGS OP THE AIMERICAN ACADEMY XI. CONTRIBUTIONS TO AMERICAN BOTANY. By SiiKKXo Watson. Presented April 8, 1891. 1. Descriptions of some nevj North American Species, chiefly of the United States, with a Revision of the American Species of the Genus Erythronium. Arabis Macounii. Biennial, branched from the base, slender, pu- bescent below with mostly stellate spreading hairs, glabrous above or but sparingly puberulent, a foot high : leaves small and narrow, -A inch long or less, the lower very rarely fevv-toolhed, the cauline sagittate at base : flowers very small, pale rose-color, 2 lines long: pods very narrow, 1 to \^ inches long and about -j line broad, glabrous, slightly curved, mostly divaricate on very slender pedicels 2 to 4 lines lung, acute, the stigma nearlj'^ sessile: seeds (immature) appi-oximately 1-rowed, apparently wingless. — At Revelstoke, British Colinnbia; collected by Prof. John Macoun, May, 1890. Near A. hirsiita. Erysimum arenicola. Caudex much branched and densely tufted, the branches slender; flowering stems about 6 inches high: leaves narrowly oblanceolate, sparingly toothed, acute or acutish, attenuate to a slender base, about an inch long, sparsely appressed-pubescent : pedicels slender, spreading and 2 or 3 lines long in fruit : calyx 4 lines long: pods ascending, slender, 1^ to 2 inches long and less than a line broad, compressed and thin-valved, usually attenuate above to a slender style tipped by the depressed lobed stigma : seeds narrowly oblong, a line long; the cotyledons very obliquely incumbent. — In volcanic sand on the Olympic Mountains, Wasliingt'Mi, at 5.000 feet altitude; collected by Mr. C. V. Piper, Septoinber, 1S<>0 (n. 91()). SiLENE Macounii. Stems very slender, from a slender branching rootstock, a foot high, minutely puberulent, glandular above: leaves linear-oblanceolate, 3 inches long or less : flowers few, on pedicels ^ to 1 inch long; calyx inflated, oblong-campanulate, 4 or ;"> lines long, with short obtuse teeth ; petals little ex.^erted (G lines long), with a broadly auricled glabrous claw and large thin quadrate and nearly OP ARTS AND SCIENCES. 126 entire appendages, the flabelliform bifid blade with a linear tooth on each side : cap?ule equalling the calyx, oblong-ovate, on a carjiophure lA- lines long. — Snnunit of the Rocky i\I()Uiitains, Biitish Columbia ; collected by Prof. J. Macoun, August, 18'J0. MiMULUS (Eu.MiMULus) FiLiCAULis. A dwarf annual with very slender and thread-like lax stems, 1 to 4 inches high, simjile or nearly so, sparsely glandular-pubescent : leaves thin and nerveless, entire, ob- lanceolate or oblong or the lowest obovate, obtuse, narrowed to a very short petiole: flowers on long pedicels, the narrowly obKnig or tur- binate calyx 3 lines long, acutely and unequally toothed ; corolla funnelform with a nearly equally lobed limb, 7 to 9 lines long, bright rose-color in various shades, with more or less of purple and yellow in the throat and tube. — Collected by J. W. Congdon on Snow Creek. Mariposa County, California, in June, 1800. Near 31. Pahneri, from which it differs in its much more slender and less branching habit, the leaves more narrowed at base, the calyx-teeth acuter, and the corolla different in shape and coloring. Cladothkix cryptantha. Apparently annual, canescent through- out with a fine dense much branched pubescence, slender, repeatedly branched somewhat di- or trichotomously : leaves alternate, or sub- opposite at the forks, ovate to obovate, 4 to 6 lines long or less, on slender petioles : flowers in close clusters of 2 to 5, involucrate and more or less enclosed by two or more sessile floral leaves which are united below into a somewhat indurated cup ; bracts and bractlets minute; sepals thin, ^ line long: ntricle included, thin and hyaline, obtuse, the 2-lobed stigma nearly sessile. — Collected by Dr. C. C. Parry at Colton, California, in 1881 (n. 274), and by Mr. C. R. Orcutt in November, 1890 (n. 218G), at Causo Creek in San Diego County. Eriogonum (Ganysma) MINUTIFLORU5I Of the E. ptcsiUum group, very slender, G inches high or less, diffusely branching, glabrous, ex- cepting the small ovate rosulate leaves which are densely white-tomen- tose on both sides, becoming less tomentose above; bracts minute; peduncles filiform, divaricately spreading, 3 to 8 lines long; involucres very small (t line long), broadly turhinate-campanulate, purplish: perianth yellow, minutely puberulent, very small. — Found by Mr. C. R. Orcutt in the desert region of San Diego County, California, April, 1890. Resembling E. subreniformr, but the leaves not reni- form nor cordate, and the smaller flowers more pubescent. EniOGONrn deserticola. Apparently an annual of the same group (base and foliage unknown), tall, several times dichotomously 126 PROCEEDINGS OF THE AMERICAN ACADEMY branched, wliite-tomentose becoming mostly glabrous and yellowish green; bracts all small and deltoid i involucres shortly pedicellate or subsessile toward the end of the branches, erect or spreading, tur- binate-campanulate, a line long : perianth villous, the elliptical segments yellow with greenish or reddish midveins, 1 to 1^ lines long. — In the southwestern part of the Colorado desert, San Diego County, Cali- fornia; C. R, Orcutt, November, 1890 (n. 2189). P:RYTHR0N1UM, Linn. It is within the limits of the United States that this genus reaches its fullest development. On this conti- nent it is found scarcely beyond our own boundaries, and in the Old World it shows a far narrower range of variation than here. Much unavoidable uncertainty has long existed respecting the species of western North America. Having taken advantage of such opportuni- ties as presented themselves for studying these various forms, I now propose, though with some hesitation, the following revision of the genus. For material and for field-notes upon the ditficult western species, tlianks are due especially to Mr. Carl Purdy, G. R. Kleeber^er, and Volney Rattan, of California, Mrs. P. G. Barrett, Thomas Howell, and W. C. Cusick, of Oregon, L. F. Henderson and W. N. Suksdorf, of Washington, and Prof. John Macoun of the Canadian Geological Survey. The eastern and western species are conveniently separated, as will be seen, upon good distinctive characters. The Old World species, considered as a unit, is most nearly allied to the eastern group in its always solitary flowers, the want of a gibbous crest upon the petals, and the shape of the capsule, while in its mode of underground prop- agation it more resembles the western species. The characters that must be relied upon for the distinction of species are rarely constant. The thinly coated corms produce new ones, either as in the eastern species at base within the old coats or at the ex- tremit}'^ of long oflHshoots, or as in nearly all the western species along a rhizome, sometimes in near succession for several years, sometimes at intervals of an inch or less. The habit of spreading by offshoots, where it occurs at all, appears to depend much upon the season or lo- cality, and is usually attended with a diminished production of flowers and seeds. The form of the leaves is only exceptionally of any value. In all the species the leaves in the cauline pair are unequal, one being as a rule narrower and more acuminate than the other. The mottling varies greatly in degree in the same species, or may even be wholly wanting, and like the minute dotting, which is generally present, it very often disappe irs in dried specimens. Only in J^. propullans do OP AUTS AND SCIENCES. 127 the petioles form a closed slieath about the peduncle, and only in E. Hartwegi are they alternate instead of opposite. Tl.e auricles or appendages at the base of the inner petals are uni- form and constant, so far as known, in each species where they occur, though always greatly obscured in other than fresh flowers. Of the eastern species, E. Americanmn is the only one with such special or- gans, having a rather thickened auricle upon each side of the petal, somewhat as in E. dens-canis. The western species, with the excep- tion of E. HoweUii, have the inner petals appendaged with a trans- verse crest of four more or less saccate gibbosities, the two inner the more prominent, the outer forming lateral auricles, so that the crests of the three petals when appressed to the ovary close completely over the basal cavity of the perianth. These crests ditfer in some degree in the different species, but usually not in such a wny as to make a de- scription of the differences easy ; nor have they all been examined in the fresh flower. The stamens show little that is specifically cliaracteristic. They are in two unequal series, with more or less dilated filaments, the yellow, white, or occasionally purple anthers varying in length under different conditions, a moistened anther becoming very much longer than the same when dry. The relative lengths of the style and stamens vary with the age of the flower. The coherence or divergence of the stig- mas appears to be in general a good sectional character. In all cases, however, the stigmas are at first coherent, and where separation occurs it may be more or less delayed after anthesis and more or less com- plete. Even in species with persistently coherent stigmas it is proba- ble that separation occasionally occurs. The form of the capsule, while differing in the two grdiips, is essentially uniform iu each. In the western species it varies much in length, in some species more acute than in others, in some pioportionately wider. No marked differences have been observed in tlie seeds. * Eastern species. Corni i^mnll (G to 9 lines lon^), oblong-ovate, often prop- agatinp: by lengtliened offshoots, but also producing new cornis more or less frequently at the base of the old: scapes low, 1 flowered : inner petals not crested: capsule obovate (mostly 5 to 9 lines long). 1- Offshoots produced from the base of the corm. 1. E. Americanum, Ker. Leaves mottled: flowers yellow, often tinged without with purple and finely dotted within ; segments 10 to 20 lines long, the iimer auricled near the base : style scarcely lobed at the summit. — Bot. Mag. t. 1113; Bigelow, Med. Bot. t. 58; Bar- ton, Fl. N. Amer. t. 33 ; Gray, Struct, and Syst. Bot., fig. 1247-1251 ; 128 PROCEEDINGS OF THE AMERICAN ACADEMY Meehan, Nat. Flowers, 1st Ser., 1, t 17. E. Jlavum, Smith; Eaf. Med. Fl. fig. ob. The ^'E. Carolinianum, Walt." of Poiret, Roemer & Schiiltes, etc., was based upon Walter's '■^ Anonymos, Erythronio a^ni's?" which must have been Ucidaria inrfoliata. Damp open woodlands and banks ; Nova Scotia to Ontario and Minnesota, and south to Florida and Arkansas. 2. E. 'ALBiDUM, Nutt. Leaves mottled : flowers white with more or less of a bluish or purplish tinge, yellow within near the base, not dotted, the segments strongly recurved, not at all auricled : stigmas short (1 to H lines long), becoming recurved. — Similar localities; eastern New York to Ontario and Minnesota, and south to Pennsyl- vania, Virginia, Tennessee, and central Texas. The var. coloratum, Sterns (Torr. Bull. 15. Ill), is the more deeply colored form. 3. E. mesochoreTjJI, Knerr. Resembling the last, but the leaves narrower (| to 1 inch wide) and not mottled ; segments of the peri- anth not recurved ; capsule larger (6 to 15 lines long). — Grassy prai- ries or wooded slopes, from western Iowa to central and eastern Kansas. First noted, as a variety of E. albidum, by Mr. R. Buigess (Bot. Gaz. 2. 115) and Mr. M. H. Panton (same, 2. 123) ; perhaps well separated from that species by Prof. E. B. Knerr (Midland College Monthly, 2. 5). -1- H- Offslioots produced from tlie sheathed portion of tlic scape. 4. E. PROPDLT.ANS, Gray. Leaves small (2 to 4 inches long) above the close sheath, from within the base of which the offshoot springs, slightly mottled: flowers rose-color with yellow base, small (^ inch long), the inner segments not grooved nor auricled : stigmas united ; capsule unknown. — Am. Nat. 5. 228, fig. 74. Southern Ontario {fide IMacoun) ; southern Minnesota. * * Western sjiecies. Corms usually elon^\e pui'ple : anther-tips attenuate. — In low meadows, Flor de Maria, State of Mexico; Au- gust, 1890 (n. 3228). Cnicus (Echinais) linearifolius. Stem erect, very leafy and wing-angled, simple : leaves linear, the radical 12 to 1/5 inches long by an iTich broad or less, petiolate, pinnately many-lobed to the middle, the broad lobes and sinuses undulately margined and spinulose, rough- ish above, white-tomentose beneath ; the cauline similar but smaller, sessile and decurrent, acuminate, erect : heads small (9 lines high). 144 PROCEEDINGS OF THE AMERICAN ACADEMY broad, nearly sessile in a terminal cluster ; outer scales shortly spi- nose-tipped, lanceolate, scariously dilated above, the margin entire or somewhat lacerate: corolla purple: anther-tips acuminate. — In low meadows near the city of Mexico; August, 18'J0 (n. 3145). Perezia collina. Stout and tall, glabrous or the inflorescence slightly puberulent : leaves thick and rigid, broadly oblanceolate, acute, narrowed to the sessile auriculate base, irregularly toothed, 6 to 7 inches long or less, the upper ones narrower : heads in rather close panicles terminal on the branches, 8-flowered, the narrow acuminate scales somewhat tomentose, not glandular-puberulent, the longer 5 lines long : achenes {2^ lines long) glandular-puberulent and hispidulous. — In foliage and habit very closely resembling P. rigida (which is collected near the same locality), differing in the narrower acuminate involucral scales, rather fewer-flowered heads, and longer hispidulous achenes. The five nearly equal long-linear lobes of the corolla are coherent into the two lips only at the tips, or are at length entirely distinct. Hills near Guadalajara; December, 1888 (n. 2123). Sttrax Jaliscana. Leaves round-ovate to oblong-obovate, acute, at base obtuse or somewhat cuneate, vehite-tomentose and reticulately veined beneath, green and becoming sparsely pubescent above, 2^ to 4 inches long, on petioles 2 or 3 lines long : peduncles axillary and 1-flowered, or terminal and 2-5-flowered : calyx very shortly toothed ; corolla 6 to 8 lines long, the pubescent filaments adnate to the short tube: fruit depressed-globose, valvately dehiscent, usually 3-seeded, 5 or 6 lines broad. — In the Sierra de San Esteban and on rocky hills near Guadalajara; May and November, 1890 (n. 3486 and 2978). ScHULTEsiA Mkxicana. Glabrous ; stems stout, erect, 2 or 3 inches high, sparingly branched above with short erect branches, 5-9- flowered : leaves oblong-ovate or -lanceolate, sessile and clasping, 3 to G lines long: flowers shortly pedicellate; calyx strongly winged, nerve- less excepting a stout nerve at the base of each wing, 5 lines long, not cleft to the middle, the teeth long-acuminate ; wings strongly cross-veined; corolla yellowish, becoming purplish, 7 to 9 lines long: filaments not appendaged ; anthers oblong, sagittate. — Damp places on the plains near Guadalajara; October, 1889 (n. 2598). Distributed as a new species of Microcala. . Ehretia Mexicana. a shrub, with the young branches tubercu- late and somewhat hispid : leaves lanceolate, short-acuminate, suh- cnneate at base, serrate, minutely appressed-strigulose above, pubescent and reticulately veined beneath, 1 or 2 inches long on a i)ubescent ])etiole 2 to 4 lines long r flowers small, in dense compound terminal OF ARTS AND SCIENLE.S. 145 pubescent corymbs ; calyx deeply cleft, -I to nearly 1 line long ; co- rolla white, neaily 2 lines long: fruit unlvnowu. — At the base of the mountains near Lake Chapala; May, 1890 (n. 3085), BoKRHAAViA OCTANDKA. Stems slender, dichotoraously and di- varicately branched, glabrous or {)ul)erulent above: leaves broadly ovate, acutish or abruptly short-acuminate, rounded at base, sparsely pubescent and shortly ciliate, |- to 1| inches long- umbels terminal, few - many-flowered, the flowers neaily sessile ; perianth tubular to funnelform with a short slightly dilated limb, green with a tinge of red, 2 lines long: stamens 8, exserted , fruit oblong, 4 lines long by 1^ broad, glabrous with a i'cw scattered tubercles.- — Much resembling B. scandens in habit and foliage. On river-banks near Guadalajara ; October, 1889 (n. 2958). Ahistolochia (Gymnolobus) NANA. Stems procumbent, from a slender subterranean branching rhizome, slender and flexuous, 3 to 6 inches long, leafy, nearly glabi'ous : leaves from renlform-cordate to deltoid- cord ate, very obtuse or acutish and with broad rounded basal lobes, 3 to 8 lines long, on short petioles : flowers solitary in the axils, nearly sessile; ovary pubescent, narrow, 2 lines long; perianth dark brown, narrowly tubular and nearly straight, \^ to 2 J inches long, the elongated narrow blade exceeding the tube, the scarcely dilated base of the tube closed by a glabrous diaphragm with a circular cen- tral orifice : anthers 5 : capsule depressed-globoso, 6 lines broad. — Collected by Prof. A. Duges of Guanajuato in 1883 at Guadalcazar in the State of San Luis Potosi, and by Mr. Pringle iu August, 1890 (n. 3630), on dry limestone hills at San Jose Pass in the same State. Piper (Enckea) Jaliscanum. Shrubby, 8 feet high, glabrous : leaves oblong-ovate to round-ovate, acute or short-acuminate, abruptly short-cuneate at base, 5-7-nerved, \\ to 3 inches long, on slender peti- oles 3 to 7 lines long, not punctate, becoming thiekish, rather rigid and glaucous : spikes slender, on peduncles nearly equalling the petioles, 9 to \ii lines long, becoming 24- inches long in fruit, densely flowered: flowers 6-androus : fruit sessile, oblong, obtusely quadrangular, a line long. — Canons near Guadalajara, in dense raoist shade, Dr. E. Palmer, June, 1886 (n. 122), in flower, and Mr. C. G. Pringle iu December, 1888 (n. 2153), in young fruit. Peperomia Jaltscana. Herbaceous, the short stem from a small tuberous root, glabrous: leaves 2 to 4, one radical, the rest cauline and alternate, suborbicular, cordate at base, very obtuse or rounded at the summit, thin, 2 to 5 inches broad, on petioles G to 12 lines long or more: spikes 2 to 4, axillary and terminal, pedunculate, slender and VOL. XXVI. (n S. XVIII.) 10 146 riiOCEEDINGS OF THE AMERICAN ACADEMY elongated (4 iuches long or less) : flowers scattered, sunk in pits in the fleshy rhachis : bract very minute and fleshy : stamens two, scarcely exserted : ovary oblique-ovate, the stigma apical and sessile. — On rich shaded banks in the barranca near Guadalajara ; September, 1889 (n. 2953). Euphorbia (Ctttarospermum) digitata. Near E. dioscore- oides, probably annual and 2 feet Iiigh, erect, with rather numerous very slender ascending branches, ghibrous : raraeal leaves about equal- ling the very slender petioles, ovate-lanceolate, acute, rounded at base, 6 to 9 lines long, gradually diminishing upward, basally peltate, entire, ciliate ; peduncles solitary in the axils (rarely in pairs), usually ex- ceeding the leaves, binodose and glandular-brai'teate (bracts very rarely filiform), bearing otdy a single terminal involucre: involu- cres turbinate-campanulate, | line long; appendages of the roundish glands regularly 4— 6-parted into narrowly linear segments, or these sometimes more or less united : capsule long-exserted • seeds | line long, ovate, pitted, the pits with a central cavity and their margins rather obscurely tuberculate. — On limestone hills near Las Pahnas, San Luis Potosi ; October, 1890 (n. 3525). Distinguished from E. dioscoreoides by its habit, less pubescence, solitary glandular-brac- teate peduncles and more divided appendages. The seeds are also smaller, scarcely more than half as large, similarly pitted, but the margins of the pits less distinctly tuberculate. Euphorbia (Cyttarospkrmum) subpeltata. Perennial, the stems somewhat woody from a thickened or subtuberous root, erect, glabrous, with numerous ascending or divaricate branches : leaves alternate, on very slender petioles (3 to 8 lines long), semi-orbicu- lar, short-cuneate at base and attached to the petiole slightly within the margin, entire, glabrous, 3 to 8 lines broad : involucVes in short slender axillary racemas, with elongated filiform bracts, carapanulate, J line long ; lobes minute, lacerate; glands very small, subreniforra, the purple or purplish appendages palmately divided into 3 or 4 linear- subulate obtuse lobes as long as the involucral tube: capsule glabrous, the subgloi)ose greenish seeds (| line long) marked with broad shal- low pits and somewhat tuberculate. — On limestone ledges in Tama- sopo Canon, San Lnis Potosi ; August and September, 1890 (n. 3272). Nearly allied to E. dioscoreoides. Euphorbia (Tithymalus) misella. Annual, erect, branching alternately below, dichotomously above, low and slender (2 or 3 inches high), slightly pubescent : lower leaves alternate, tht^ upper opposite, petiolate, round-obovate, entire, 1 or 2 lines long : involucres solitary OP ARTS AND SCIENCES. 147 in the forks, pedunculate, scarcely \ line long, the lobes fimbriate, the glands (3 or 4) broadly stipitate, minute, rounded, entire: capsule smooth, J line long: seed ovate, smooth or very obscurely indented, ecarunculate. — On wet grassy borders of prairie ponds, Flor de Ma- ria, State of Mexico; October, IH'JO (n. ooOo). 2s'ot nearly related to any other of our species of the section. Phvllanthus Pkinglei. a small tree (15 feet high), with smooth gray bark on the numerous branches, and the slender herba- ceous branchlets sulcate-angled : leaves distichous, thin, round-ovate to orbicular or round-obovate, acutish or usually obtuse or retuse at the summit, as also at base, 6 to 12 lines long or le^s, on petioles about a line long ; stipules short, obtuse and scarious : pistillate flowers soli- tary (or only 2 or 3) in the axils, on very slender pedicels 2 to 5 lines long ; calyx G-parted, the oblong segments nearly equal ; disk cupu- late; styles bifid, spreading: staminate flowers and fruit unknown. — On limestone ledges at Las Palmas, San Luis Potosi ; June, 1890 (d. 3532). The material is insuflricient for a full description, but it seems quite unlike any known species that is likely to be found in Mexico. Croton (Eucroton) calvescens. Shrubby, herbaceous above, the young branches and leaves densely covered with a white or gray- ish stellate tomentum, soon glabrate and more or less scabrous with a rigid substellate puberulence : stipules obsolete ; leaves ovate to ovate- lanceolate, acuminate, rounded and biglandular at base, serrulate, 2 or 3 inches long on petioles 3 to 12 lines long: racemes terminal, sessile, 3 to 9 lines long, dense, pistillate at base ; pedicels a line long: sta- mens 9 to 12; calyx-lobes of pistillate flowers deltoid, obtuse, not be- coming reflexed : ovary densely stellate-pubescent and hispid; styles once divided; capsule becoming nearly glabrous, ellipsoidal: seed smooth and shining, 2| lines long. — Collected by Dr. E. Palmer in 1886 (n. 706) near Chapala, Jalisco, and by Mr. Pringle in Novem- ber, 1890, on hillsides near Patzcuaro in Michoacan (n. 3346). Near forms of C. flavus. Croton (Eutropia) el^agnoides. A shrub or small tree, 10 to 15 feet high: leaves 3-5-nerved at base, eglandular, ovate to lan- ceolate, acutish to acuminate, green above and roughish with a slight scurfy puberulence, white beneath with a dense compact lepidote coat- ing (as also the inflorescence and fruit), | to 2 inches long, short-petio- late : racemes becoming 4 to G inches long, pistillate below ; staminate flowers nearly 3 lines broad, with narrowl}^ lanceolate acutish pubes- cent petals a;id about 15 stamens ; pistillate flowers scattered, the 148 PROCEEDINGS OF THE AMERICAN ACADEMY sepals oblong or oblong-obovate, acutish, 2 lines long: styles thrice dichotomous ; capsule depressed, 2^} lines broad : seeds triangular- ovate, minutely and irregularly jjitted. — At Las Palmas, Sau Luis Potosi ; June, 1890 (n. 3080). Manihot Pringlei. Apparently herbaceous, glabrous : leaves long-petioled, o-parted to the base, the divisions 3 or 4 inches long, narrowly lanceolate or oblong-lanceolate, very acutely short-acumi- nate, usually obtusely lobed by a more or less broad and deep sinus on each side, glaucous beneath ; stipules caducous, small and subulate ; bracts of the long-pedunculate corymbose raceme foliaceous, narrowly lanceolate and aciuiiinate, denticulate, G to 12 lines long; pedicels erect, usually bearing a bracilet or two: perianth of the staminate flowers glabrous, campanulate, G to 0 lines long, cleft nearly to the middle, the lobes valvate ; stamens 10; disk large, 54obed ; pistilhite flowers narrower, the calyx 5-parted ; disk conspicuous, entire : IVuiting peduncles 2 inches long or more, erect; capsule glabrous, 8 lines long. — On limestone hills at Las Canons, San Luis Potosi; July, 1890 (n. 3558). Somewhat resembling M. Cartliaginensis. AcALYPHA DissiTiFLORA. Perennial, herbaceous, slender, a foot high or more, dioecious, the fertile plant branching above, the stami- nate simple above the base, pubescent : leaves thin, ovate, 3-5-nerved, acute or shortly acuminate, rounded at base, serrate, somewhat ap- pressed-hairy, 1 to 1^ inches long on slender petioles 3 to 6 lines long: spikes axillary, very slender, pedunculate, 1 or 2 inches long, the stami- nate very rarely with a pistilhite flower at base, the pistillate with flowers much scattered ; bracts 1 -flowered, scarcely a line high, acutely 5-7-toothed, shorter than the pubescent capsule : styles short, pecti- nately divided. — On limestone ledges in Tamasopo Caiion, San Luis Potosi; July, 1890 (n. 3083). A strongly marked species, in ]Muel- ler's arrangement falling near A. clUptica. AcALYPiiA MULTISPICATA. Perennial, herbaceous, the numerous stems simple, about a foot high, pubescent with recurved woolly hairs; difccious: leaves subsessile, 3-5-nerved at base, the lower ovate or obovate and obtuse or acute, the upper lanceolate and acute, serrate, strigose-pubescent, 1 or 2 inches long: spikes pedunculate in nearly all the axils, the staminate slender, dense, 4 to 1 indi long, the pis- tillate short and mostly few- (1-10-) flowered; bracts 1-flowcred, reniform, acutely 7-11-toothed, becoming 2 or 3 lines long: styles pectinately divided; capsule pubescent. — On hillsides near Guada- lajara; July, 1889 (n. 2903). In the same group with the last species. OP ARTS AND SCIENCES. 140 AcALYPHA FLAVKSCKNS. A slirub 5 to 10 feet high, the young branches ami petioles somewhat pubescent: leaves thin, S-o-nerved, ovate to ovate-lanceolate, rounded at base, acuminate, serrate, very mi- nutely puncticulate and finely rough-puberulent, 3 to 4 inches long on petioles 1 to I,]- inches, on the short fruiting branchlets smaller and nearly sessile ; stipules rigidly setaceous from a broad base : si)ikes sessile, 1 to 1^ inches long, the staminate axillary, dense, the pistillate terminal and rather loose ; bracts small, 1-flowered, thin and loose, broadly renifbrm, many-nerved, 7-tootlied, the teeth attenuate above: styles sparingly pinuatifiil ; ovary densely pnbescent. — Jn Tamasopo Canon, San Luis Potosi ; June, 1890 (n. 3073). Kear A. carpinifolia as grouped by Mueller. AcALYPHA (LiNOSTACHYs) LONGiPES. Suffrutescent, the young herbaceous branches sparsely pubescent : leaves thin and glabrous or slightly hispid on the nerves, 3-5-nerved at base, oblong-lanceolate to lanceolate, acuminate, subcordate at the narrowed base, serrulate, 1 or 2 or sometimes 4 inches long, on pedicels 1 to 9 lines long; stipules attenuate-subulate : staminate spikes axillary, sessile, 3 or 4 inches long ; pistillate racemes pedunculate, axillary, very slender, 2 to 5 inches long, the pedicels solitary or in paiis and unequal, the longer 1 to 12 lines long; bracts minute: ovary densely muricate. — On limestone ledges in Tamasopo Canon, San Luis Obispo; June, 1890 (d. 3082). Sebastiania Pringlei. a glabrous shrub with slender branches, dioecious or the sterile ameuts with sometimes (?) a pistillate flower at base : leaves rather thin, on short slender petioles, from elliptical and obtuse to lanceolate and acute or short-acuminate, rounded or sub- cuneate at base, eglandular, obsoletely crenate-serrate, 9 to 18 lines long : spikes terminal, nearly sessile ; staminate bracts" very short, broad and abruptly apiculate, 2-flowered ; flowers nearly sessile, dian- drous ; calyx of 1 to 3 minute distinct linear acuminate sepals : distil- late spike 2-flowered, the upper flower usually retarded in development or abortive; bract thicker, biglandular : capsule glabrous, 4 lines long, chartaceous, dehiscing dorsally and ventrally ; seed not seen. — In rocky gulches at San Jose Pass, San Luis Potosi ; July, 1890 (n. 3136, distributed as Gymnanthes Pringhi). An evidently closely related species, but with much larger leaves, recently collected by Dr. Palmer near Alamos in Sonora, has nearly globose seeds with a very minute caruncle. The presence of this caruncle has determined the reference of the present species to the genus Sehrtstinnia, with which in other respects the characteis accord very satisfactorily. Some specimens 150 PROCEEDINGS OF THE AMERICAN ACADEMY that were received from Prof. A. Duges, as collected by Prof. Jose Ramirez on the banks of the Alamos River in Sonora, closely resem- ble Mr. Pringle's specimens excepting that the spikes are all bisexual, the staminate bracts 4-5 flowered, and the stamens 2 or 3. The few loose seeds which accompanied these specimens show, however, no caruncle, though otherwise like those of Dr. Palmer. It is prob- able that this is a third species of the same genus, and that too much weight has been given to the presence of a caruncle as a generic character. Tlie fruit of the Sonora plant is said by Ramiiez to be that in which the Garpocapsa saltdans is found ; and this is certainly true of Dr. Palmer's species. Doubtless the "jimiping beans" are the product of more than one of these nearly allit'd shrubs. The fruit of Sehastiania bilocularis is found to be attacked by a similar insect, though of a diflferent genus, which has been named by Mr. C. V. Riley Grapholitha SebastianicB. The capsules which Dr. Palmer collected, like those of the other collections, have the cocci dehiscing nearly to the base, and the rather thin valves become more or less contorted. In fruit occupied by the Carpocapsa, such as I have seen, the cocci remain closed, but the walls are chartaceous and complete dehiscence is readily effected. Ficus (Urostigma) .Jaliscana. Young branches, buds and peti- oles pubescent : leaves coriaceous, round-cordate with broad more or less overlapping basal lobes, acute, 3-5-nerved at base, 3 to 4^ inches long, on petioles nearly as long, soon glabrate above and smooth though minutely puncticulate, more puberulent beneath, especially on the nerves : fruit in pairs, on stout pedicels 2 or 3 lines long, globose, densely tomeutose, 4 or 5 lines broad, subtended by a broad somewhat 3-lobed involucre ; fertile flowers pedicellate, with unequal sepals, one cucullate, the others shorter, broad and concave, the style rather short and stigma subcapitate ; abortive pistillate flowers similar but smaller and sessile, the style elongated and stigma bifid ; staminate flowers not found : orifice of the receptacle closed within by several rows of rigid closely imbricated broad bracts. — On cliffs near Guadalajara; Decem- ber, 1889 (n. 2932). Ficus (Uuostioma) Pringi-rt. Young branches and petioles densely pubescent with spreading hairs : leaves ovate, 3-nerved and slightly cordate at base, obtuse or acutish, 2 to 4 inches long by 1.^ to 3 broad, on stout petioles 2 to 4 linos long, very rough above with fine hispidulous reticulations and prominently puncticulate, pu- be.scent and strongly reticulated beneath: fruit sessile in pairs in the axils, involucrate with two opposite orbicular silky-pubescent bracts, OF ARTS AND SCIENCES. 151 globose, finely pubescent, 4 or 5 lines broad, the orifice somewhat um- bonate and closed by numerous rows of imbricated rigid bracts; flowers shortly pedicellate, the pistillate with short style and nearly equal concave petals, the starainate with two strongly cucullate sepals and a broad obtuse nearly sessile anther. — In the barranca near Gua- dalajara ; December, 1889 (n. 2928). Ficus (Phakmacosyce) Guadalajauana. Young branches sparsely pubescent: leaves coriaceous, pinnately veined, oval, acutish at each end, 2 to 4^ inches long by 1 to 2| broad, on pubescent petioles 3 to 8 lines long, very scabrous above, reticulately veined beneath, and rather soft-pubescent especially on the prominent veins: fruit solitary, on peduncles 4 lines long, globose, very shortly stipitate and with a very narrow undulate involucre, 6 to 9 lines in diameter ; the bracts within the orifice linear and strictly inflexed, rufous ; staminate and gall-producing flowers on rather slender bracteate pedicels, the fertile nearly sessile; sepals of the staminate flower 4, broadly elliptical, the 2 nearly sessile anthei's ovate-elliptical, obtuse ; sepals of the pistillate flower linear, acuminate; bracts and sepals rufous. — In the barranca near Guadalajara; October, 1889 (n. 2947). The galls were found occupied by a black winged insect, — the only instance in which I have detected the gall-fly in any of our species, though doubtless often pres- ent. Mr. Riley informs me that he finds in this same fruit gall- insects of three different genera. Ficus (Pharmacosyce) radulina. A tree with rather stout finely pubescent brancblets : leaves thin-coriaceous, oblong-lanceolate, acute or short-acuminate, 3-5-nerved and acutish at base, very mi- nutely rougliish-punctate above becoming smooth, glabrous beneath, 3 to 6 inches long by 1^ to 2^ broad, on petioles 8 to 16 lines long : fruit slightly pubescent becoming glabrous, obovate-globose, 10 lines broad, iuvoluciate with 3 short-deltoid deciduous bracts, solitary, on peduncles 2 or 3 lines long; orifice somewhat prominently margined, closed by numerous intruded narrowly linear bracts: staminate flowers p( dicel- late, with deeply 4-5-cleft perianth, the lobes lanceolate, acute ; sta- mens 2 or sometimes l,the anthers elliptical, obtuse; pistillate flowers sessile or pedicellate, 4-5-parted, the sepals narrowly linear. — Col- lected by Dr. Edward Palmer at Hacienda San Miguel near Hatopilas in southwestern Chihuahua, in 1885 ('' L."), and again in March, 1890 (n. 367), at Alamos in Sonora. The species much resembles F. radula and F. anthelmintica. In the fruit examined an appar- ently perfect flower was occasionally found, perhaps however only pseudo-hermaphrodite, as in the few East Indian species of which 152 PROCEEDINGS OP THE AMERICAN ACADEMY Dr. King forms his section Palceomorphe, based upon this characteristic mark. Ficus FASCiCULATA, Watson, Proc. Am. Acad. 24. 78. This spe- cies was described from specimens in quite young fruit, found in cultivation at Guavmas, but said to be native in the same region. A very similar, if n(jt the same, species has been recently found by Mr. Pringle (n. 3554) in Tamaso[)o Canon in the mountains of San Luis Potosi, and this appears to be identical with what was collected by Ervendberg (n. 332) near Tantoyuca in Huasteca, and by Botteri still farther southward in Orizaba. The leaves, however, vary considera- bly in size, and from obtuse to quite sharply acuminate, and the only specimen seen by Mr. Pringle was a small erect shrub very different in habit from those at Guaymas as described bj^ Dr. Palmer. The orifice of the small thin fruit is in the Guaymas specimens much im- pressed, while in the others it is conspicuously prominent, which may be due to the stage of growth. All may possibly be referrible to F. sapida, Miquel, of Costa Rica and Panama, as forms of one poly- morphous species. PiLEA GLABRA. Low and hcrbaccous, glabrous : leaves thin, showing on the upper side numerous linear cystoliths, entire, lanceo- late or broadest near the middle and narrowed each way, acutely acuminate, rounded at the very base, 3-nerved, the nerves continued to the apex, 2 to 4 inches long by 8 to 16 lines broad, on petioles an inch long: panicles pedunculate, very loose and slender, exceeding the petioles, solitary or in pairs in the axils, androgynous. — In Tamasopo Canon, San Luis Potosi; August, 1890 (n. 3550). Myriocarpa brachystachys. Young branches, petioles and lower surface of the leaves densely tomentose : leaves ovate, rounded at base, short-acuminate, acutely serrate, finely bullate, ^nearly gla- brous above, 3 or 4 inches long, on petioles ^ inch long : pistillate inflorescence sparingly branched, nearly sessile, the longer spikes 3 to 5 inches long, very densely flowered : sepals lanceolate, sparingly <:iliate, a third as long as the sparsely hispid ovary. — In the bar- ranca near Guadalajara; IMay, 1888 (n. 3024). JuGLANS Mexicana. Foliage as in ./. nigra, but with the pubes- cence nearly of,/, cinerea: fruit large, subcompressed-globose, 2^ inches high by 2 inches broad ; nut H inches broad, very obtusely rugose, obtuse or slightly apiculate. — On hills at San Josi^- Pass, San Luis Potosi; Octol)er, 1890 (n. 3322). Michostylis (Dienia) tenuis. Stem slender fiom a small tu- berous base, 4 to 6 inches high, with a single narrowly ovate acutish OF ARTS AND SCIliNCES. 153 basal sheathiug leaf 1^ inches long : flowers greenish ochroleucous, in an open raceme 2 inches long ; pedicels very slender, 1 to 3 lines long ; bracts very snuUl : sepals and petals linear-lanceolate, acumi- nate, 2 lines long, the lip a little shorter, attenuate from a broader base. — In low meadows, Flor de Maria, State of Mexico; July, 1890 (n. 3186). Sfiranthks Pringlei. Root of fascicled fusiform tubers an inch long ; stem slender, 4 to 8 inches high, puberulent, the scattered sheathing bracts (5 or G) tliiu. acute or acuminate, ^ to 1 inch long: spike loosely few-flowered, 1 or 2 inches long, the narrowly lanceolate bracts equalling the ovaries : flowers white, the lanceolate se[)als 3 lines long; lip a little longer, dilated above into a reniform un- dulately margined blade; column short, its crest short and obtuse; beak of the anther oblong, acutish : capsule oblong-ovate, 3 lines long. — Moist plains near Guadalajara; June, 1889 (n. 2877). Radical leaves unknown. Spikanthes (Stenorhynchus) Jaliscana. Radical leaves un- known ; stem from a fascicle of long tuberous roots, leafless, a foot high, glandular-pubescent above, partially covered with acute or short- acuminate bracts an inch long: flowers in a rather loose slender spike, subtended by linear-lanceolate acuminate bracts 4 to 6 lines long; sepals and petals red, 9 lines long, narrow above the prominent gib- bosity, acuminate, the lip much narrowed above the dilated and auricled basal portion: capsule ^ inch long. — Plains near Guadala- jara; June, 1889 (n. 2874). Related to S. speciosa. Bletia Palmeri. Stem from a tuberous-thickened base upon a slender rootstock, slender, 1 to 1^ feet high, G-12-flowered : leaves shorter than the stem, broadly linear, 6 to 10 inches long by 3 to 6 lines broad ; bracts srnall : perianth purplish, G to 9 lines long; sepals and petals nearly equal, oblong, acutish ; lip 6 lines long and nearly as broad, with broad rounded lateral lobes, a rhomboidal middle lobe, and seven very prominent contiguous laminae extending from the base to the apex: capsule an inch long, on a pedicel 3 or 4 lines long. — Collected at Rio Blanco, Jalisco, in August, I88fi, by Dr. E. Palmer (n. 336), and in the barranca near Guadalajara in May, 1889, by Mr. Priugle (n. 3023). GovENiA elliptica. Basal sheaths very broadly dilated, the lono-er 6 inches long ; leaves lanceolate above the enclosed petiole, acuminate, 8 inches long by 3 broad, nearly equalling the loose but many-flowered spike ; floral bracts lanceolate, acuminate, shorter than the slender ovaries: sepals and petals brown, 6 lines long, bilabiately 154 PROCEEDINGS OF THE AMERICAN ACADEMY divergent, the lower sepals falcate and rather narrow, the upper ob- long ; lip yellow, elliptical with cuneate base, obtuse or emargiiiate, 3 lines long. — Cool rich cailons in the mountains near Monterey, San Luis Potosi; June, 1890 (n. 2797). Arethusa granuiflora. Flowering stem leafless from a tuber- ous base (6 to 8 lines in diameter), 6 to 8 inches high, with 2 to 4 very short closely sheathing bracts ; foliar stem contiguous, sheathed below and bearing two long- acuminate narrow leaves (G to 12 lines broad) exceeding the scape : flower solitary, large, the unguiculate sepals oblong-lanceolate, acuminate, falcate, 15 lines long; lip 2 inches long or more and \^ broad, purple, 3-lobed, erosely denticu- late ; column shorter than the sepals : ovary slender, 8 lines long. — Banks of cailons near Guadalajara; October, 1889 (n. 2997). The condition of the flowers prevented an examination of the androecium, but there seems no reason to doubt the correctness of the generic reference. PoGONiA (Triphora.) Mexicana. Stem 2 to 4 inches high from a small tuber, sheathed at base and bearing 4 or 5 sessile leaves, the lower round-ovate, acute, about 6 lines long, the uppermost lanceo- late: flowers 2 or 3, pedicellate, soon recurved; perianth 5 lines long, the greenish sepals and white petals linear, acute ; lip purplish above, with three green median nerves, cuneate to a short broad claw, 3-lobed, the middle lobe subdeltoid, undulate-margined : column 3^ lines long. — In Tamasopo Caiion, San Luis Potosi; August, 1890 (n. 3557). Resembling P. pendula, and probably the same as Parry & Palmer's plant from the same region, mentioned by Mr. Hemsley as in Herb. Kew. Habenaria filipeua. Low, from a small oblong-ovate tuber, glabrous, 4 to 8 inches high: leaves erect, longer than the internodes, oblong-ovate or the lowest ovate, acute, mostly sheathing at base, 1 to 1^ inches long; floral bracts foliaceous, acuminate, nearly equalling the flowers : spike loosely rather few-flowered, 2 or 3 inches long : sepals acute, the lower oblong-ovate and subfalcate, the upper sub- orbicular, 2 lines long ; petals bifid, the upper lobe oblong, falcate, nearly oqiialliiig the upper sepal, the lower filiform, 3 lines long or more ; lip o-lobed, the lobes all filiform, the lateral 4 lines long, ex- ceeding the somewhat broader middle one ; spur 7 or 8 lines long, acute, a little enlarged toward the end. — On moist grassy slopes, Flor de Maria, State of Mexico; July, 1890 (n. 3187). Tliis was also previously collected by Mr. Pringle in Chihuahua in 1887 (n. 1375''), distributed as //. Gnadalnjarana, var (?). It differs from that OF ARTS AND SCIENCES. 155 species in the fewer flowers, the longer lower lobes of the petals, the longer and narrower lobes of the lip, and the longer acuminate spur. Hechtia pedickllata. Leaves long-attenuate from the base, about 2 feet long and 1^ inches broad at base, white-scurfy beneath, less so above, spinose on the margin : flowering stem flexuous, 2 or 3 feet high, covered by numerous thin lanceolate attenuate bracts serru- late on the margin : panicle glabrous, long and narrow, the numerous spreading branches about 2 inches long, mostly simple : flowers nu- merous, scattered, racemose; sepals and petals small, deltoid, persist- ent, the latter 1|- lines long: capsules oblong-ovate, 4 or 5 lines long on pedicels 2 or 3 lines long. — On ledges in the barranca near Guada- lajara ; October, 1889 (n. 2970). TiLLANDSiA (Anoplophytcm) Pringlei. Basal leaves (15 to 20 or more) abruptly convolute-linear from a dilated base (1^ inches long by an inch broad), densely lepidote with appressed centrally punctate scales, 6 to 8 inches long, recurved, the cauline shorter and soon re- duced to sheathing oblong acuminate or acute lepidote bracts 12 to 6 lines long : flowering stem nearly 2 feet high, very sparingly branched ; spikes 4 or 5 inches long, 6-8-flowered, glabrous, slightly flexuous ; calyx little exceeding the acutish narrow appressed bract and about equalling the internodes, 7 to 9 lines long ; petals long-exserted. — At Las Palmas, San Luis Potosi ; June, 1890 (n. 3530). TiLLANDSiA (Platystachys) cylindkica. Basal leaves unknown ; peduncle stout, a foot long or more, covered with numerous imbricated erect scurfy-canescent leaves with dilated base 1^ inches broad and at- tenuate upward into an elongated convolute-linear termination a foot long : inflorescence scurfy-canescent, cylindrical, 8 to 10 inches long and over 2 inches broad, of numerous (20 to 30) distichous sessile ovate-lanceolate 8-10-flowered spikes which are 2 or 2^ inches long and an inch broad ; bracts tinged with red on the margins, those on the rhachis more or less attenuate and the lower often much exceeding the spike, those of the spike acute, carinate, 1 to 1|- inches long : calyx more or less scurfy, an inch long; petals greenish, 1| inches long, convolute below into a tube as long as the calyx ; stamens and style exceeding the petals. — From Guanajuato, Mexico ; Prof. Alfred Duges. Near T. Dugesii. SiSYRiNCHiUM PLATYPHYLLUM. Perennial, glabrous ; stem stout, nearly 2 feet high, branching above, broadly winged : leaves ensiform, acute, 6 or 8 inches long by 6 to 9 lines broad, smooth on the margin, the uppermost lanceolate; floral bracts equal, broad, acute, 1| inches long ; pedicels slightly exserted : ovary small, subpuberulent : peri- 156 PROCEEDINGS OP THE AMERICAN ACADEMY anth yellow, the segments oblong, obtuse, 9 lines long by 3 broad, faintly nerved except toward the base: free portion of filament nearly 2 lines long ; style cleft nearly to the base. — In the barranca near Guadalajara; July, 1889 (n. 287G). Resembling S. Arizomcum, but more glabrous, the broader leaves less acuminate, and the style more deeply cleft; fruit unknown. Agave (Litt^a?) Hartmani. Acaulescent; leaves very numer- ous in a dense rosette (becoming a foot in diameter), broadly linear above the short dilated base, the blade 3 inches long by about |- inch broad, very thick, convex on the back, marked on both sides by broad intersecting gray lines (as in A. ^lif era), ending abruptly in a stout brown spine 2 or 3 lines long, the margins at base acute and finelj' serrulate, obtuse above and bearing on each side about half a dozen very slender recurved ash-gray threads : flowers and fruit unknown. — Collected by Mr. C. V. Hartraan, botanist of the Leraholtz expedition, and in cultivation at the Cambridge Botanic Garden. Agave (Manfreda) brunnea. Acaulescent: leaves rather few, fleshy, recurved, channelled above, 4 inches long or less by 6 to 10 lines broad in the middle, the margin armed with scattered broad hooked spines a line long: flowering stem 2 feet high, with lanceolate narrowly attenuate bracts shorter than the nodes : flowers few (about 6), ses- sile ; ovary 6 lines long; perianth 15 to 18 lines long, the narrow tube nearly twice longer than the dark brown narrowly oblong spreading lobes : stamens and style much exserted : capsule broadly ellipsoidal, about 9 lines long. — On the battle-field of Buena Vista, Tamaulipas ; July, 1888 (n. 2218). EciiEANDiA NODOSA. Roots coarsely fibrous ; the base of the plant surrounded by the more or less fibrous remains of numerous dead leaves : leaves broadly linear, 18 inches long by 12 to 1 ") lines broad, attenuate to each end, very shortly ciliolate : stem 3 feet high, panicu- lately branched, the branches spreading and very slender with numer- ous nodes (mostly approximate, 3 to 6 lines apart, sometimes more distant) ; pedicels very slender, 3 to 6 lines long, jointed a little below the middle: perianth pale yellow, 5 lines long: capsule broadly ellip- tical, 2 or 3 lines long. — In the barranca near Guadalajara; Nov., 1888 (n. 2151). This genus must include several species, though it is difficult to identify the forms that have been described as distinct, and which have of late all been embraced under 7i'. ternijlora. A form more nearly resembling typical E. ternl flora is Mr. Pringle's n. 3183 of 1890. This has long and more or less tuberous-thickened "oots, and linear-lanceolate leaves attenuate from near the base to (^ nar- OF ARTS AND SCIENCES. 167 rowly acuminate apex (4 to 8 inches long by 9 to 18 lines broad), more distinctly ciliate : branches less slender, ascending, with distant nodes ; pedicels jointed toward the base ; perianth yellow becoming pale, o or 6 lines long, and capsule 3 or 4 lines long. Both of these species must be distinct from the common form with very elongated and narrow leaves. Dasylirion inkrme. Tree-like, 20 to 30 feet high and 2 to 4 feet thick at base, with few branches : leaves 2 to 4 feet long by 6 lines broad, long-attenuate, thin and scarcely at all carinate, the margin unarmed, very minutely serrulate : inflorescence paniculate, a foot broad or more: fruit ti'iquetrous, broadly winged, 5 or 6 lines long. — On limestone ledges at Las Palmas, Saa Luis Potosi ; June, 1890 (n. 3108). A very remarkable species. Tradescantia Pringlei. Stems slender, decumbent and rooting at base, glabrous or with a pubescent line on one side : leaves ovate, short-acuminate or only acute, 1 to 1| inches long, minutely puberu- lent, the short petiole and loose sheath villous-ciliate : peduncles axil- lary and terminal, a little shorter than the leaf, bearing a small head of nearly sessile flowers : bractlets and sepals glabrous or a little ciliate, the latter 2.', lines long; petals purple: stamens 6, unequal, the longer with filiform filaments bearded in the middle (or one naked) and broadly oblong anthers, the shorter filaments very densely bearded in the middle with green gland-tipped hairs, the anthers orbicular ; anther-cells contiguous. — In the Sierra Madre near Mon- terey; July, 1888 (n. 2226). Cham^dorea Pringlei. Acaulescent or nearly so : leaves erect, pinnate, nearly 3 feet high ; leaflets 12 to 15 on each side of the triangu- lar rhachis, linear-lanceolate, acuminate, 6 or 8 inches long by 3 or 4 lines broad: inflorescence dioecious, the staminate spadix arising from the base and about equalling the leaves, simjJe ; peduncle covered with sheathinw bracts; flowering rhachis about 8 inches long: flowers scattered ; calyx 3-parted, the segments orbicular ; corolla 3-parted, valvate ; abortive ovary columnar, greenish : pistillate flowers and fruit unknown. — In Tamasopo Canon, San Luis Potosi; June, 1890 (n. 3527). The most northern locdity known for any species of the genus. While the absence of pistillate flowers renders the section to which the species belongs uncertain, it nevertheless appears to be clearly distinct from the few other known species that have a simple spadix. Eriocaulon Jaliscanum. Dwarf: leaves subulate, acuminate, 5 to 8 lines long by nearly a line broad, little exceeding the bifid 1*)8 PROCEEDINGS OP THE AMERICAN ACADEMY sheaths : scapes very slender, ^ to 3 inches high ; heads globose to oblong-ovate, ^ to H lines high ; involucral bracts scarious, white or nearly so, oblong to obovate, obtuse, the inner white becoming some- what fuliginous, acutish : flowers trimerous, mostly pistillate, a few at the apex staminate ; petals linear-spatulate, slightly ciliate above : seeds very minutely papillose. — Wet places near Guanajuato ; No- vember, 1889 (n. 2936). 3. Upon a wild Species of Zea from 3Iexico. Prof. "W. H. Brewer, in a communication to Dr. Sturtevant, to be found in the paper of the latter upon '' Indian Corn " in the Report of the New York State Agricultural Society for 1878, gives a statement which Roezl, the well known German collector, made to him in 1869 to this effect: that "he found in the State of Guerero a Zea which he thinks specificially distinct, and he thinks undescribed ; the ears very small, in two rows truly distichous ; the ear (but not each grain separately) covered with a husk, the grain precisely like some varieties of maize, only smaller and harder." Specimens of a Zea which is in all probability the same that Roezl referred to were received by me in 1888 from Prof. A. Dug^s of Guanajuato under the designation of Mais de Coyote. It was reported to him as growing wild at Moro Leon, to the south of the State of Guanajuato, and as not at all re- sembling ordinary varieties of maize. The specimens sent were two very slender stalks about four feet high, with a small terminal stami- nate inflorescence but no trace of fertile spikes. These were probably very depauperate stalks, that had been selected for easy carriage. Accompanying them was a united cluster of about half a dozen small ears enveloped in their husks, each about two inches long and bearing a few rows of small white pointed kernels. Some of the peculiarities of this remarkable corn were noted at the time, but nothing more was done until last year, when an attempt was made to grow it at the Botanic Garden, Cambridge, with quite unexpected results. The corn was planted early under glass, and as soon as danger from frosts was over the plants were transferred to a warm sunny location, where they .soon began to grow vigorously and to send out numerous ofTshoots from the base. These "suckers" grew as rapidl}' as the main stalk, so that the plants, wiiich had fortunately been placed some feet apart, had the appearance of two " hills," one of the two having nine and the other twelve stalks ascending from a common base. The tallest were over ten feet in height, with a diame- ter of nearly two inche.'', and they would have become yet taller had OF ARTS AND SCIENCES. 159 the season permitted. Their foliage and pubescence were in every way as in ordinary field corn, the staminate tassels M'ith conspicuously longer and more drooping racemes, the habit of growth wholly unusual. In our ordinary form the erect culm is always apparently single, bear- ing solitary axillary ears which are terminal upon a usually short leafy- bracted peduncle. This peduncle is in fact a lateral branch, bearing a terminal pistillate spike corresponding to the staminate panicle on the main stem. In this Mexican corn, on the other hand, the better de- veloped stalks were evidently branched from several of the axils, the branches often becoming three or four feet in length, very leafy, and having at least a rudimentary ear in the axil of every leaf. Several, sometimes half a dozen, perfect ears were formed upon each branch. The terminal ear was always androgynous, staminate at the summit. On the shorter stems the branches were reduced to a more or less crowded axillary cluster of §ars similar to the one received from Prof. Duges. The last year's season was a long one, and there was no heavy frost in Cambridge until near the end of October. The corn however was at that time still very green, and the stalks were finally cut and stored under shelter in the hope that the ears would ripen in the stack; but upon very few did any of the kernels mature. The natural supposition was that we had here at last the original wild state of our cultivated maize. A careful comparison of the two, as thorough as the material at hand of the cultivated forms w^ould per- mit, has led me first to doubt the probability of this, and now to con- sider the form in question a distinct species. The differences upon which this conclusion is based are in the habit of growth, the arrange- ment of the staminate spikelets and the nervation of their glumes, the form of the glumes of the pistillate flowers, and the ready disarticula- tion of the rijjened ear. It appears from descriptions, figures, and such specimens as I have seen of cultivated maize, that the staminate spikelets are in pairs at the joints of the rhachis, and their empty glumes 7-9-nerved. In the Mexican plant there are usually three and sometimes four together, one of them short-pedicelled, the others more nearly sessile. The empty glumes are 3-5-nerved and bicarinate, the flowering ones more narrow than in Z. Mays. The pistillate spikelets are in pairs at the joints of the rhachis, the intei nodes of which are more or less strongly margined and cupulate, and finally become hard and shining. The glumes are very broad, strongly concave and enfolding each other, much more so than in the flowers of Z. Mays that I have examined, and than they are represented in the figures of Nees and Doell. The 160 PEOCEEDINGS OF THE AMERICAN ACADEMY lower glume becomes very hard and rigid, excepting its margin, and fiimly embraces the lower part of the kernel. The ears upon the plants raised in the Botanic Garden were very variable, from scarcely two inches to four inches in length and three fourths of an inch broad, tapering slightly to an acuti^h apex, and with the kernels in four, eight, ten, and sometimes twelve, but most frequently in ten rows. A con)parison of these shows clearly the struc- ture of the ear. When there are only four rows, the ear is flattened and distichous, and the opposite pairs of rows are evidently the result of the pairs of spikelets regularly alternating upon the opposite sides of an extremely short-jointed and very flexuous rhachis. In the eight- rowed ear the rhachis is four-sided instead of two-sided, and in the ten-rowed it becomes five-sided. This latter case corresponds to the arrangement in the terminal raceme of the staminate inflorescence, where the spikelets are usually in five rairks. In the eight-rowed ear each joint bears two opposite pairs of spikelets, alternating with those of the joints immediately above and below, and in the twelve-rowed there are three pairs to each joint, alternating in the same way. The kernels are somewhat imbricated in the rows, and usually alternat- ing, owing to one of the spikelets in each pair being slightly pedicel- late. They are small, ovate, somewhat flattened dorsally and pointed, the lower part constricted by the closely embracing glume. In struc- ture they are hard and corneous, with a central starchy layer extend- ing from the base nearly to the apex. The ripened ear breaks readily at any point, so that the eight-rowed ear, for example, may be separated into its several joints, each bearing two opposite pairs of kernels. I would therefore characterize the new species as follows: — Z. CANINA. Culms several from the same root, ascending, branched : staminate racemes often elongated and drooping ; spikelets 2 to 4 (usu- ally 3) at each node, one or more short-pedicelled ; empty glumes 3- 5-nerved, bicarinate : pistillate spikes sessile in the axils and terminal, the terminal staminate at the apex; ears small, 4-12-rowed, dividing more or less readily at the joints ; kernels small (3 to 4 lines long), white, hard and smooth, ovate, acutish, constricted at base. The location from which the specimens were obt.iincd for Prof. Duges is stated more definitely to be IMoro Leon (otherwise Congre- gacion), near Uriangato, about four Mexican leagues nortli of T^ake Cuitzco. It is therefore near the boundary line betweiMi the States of (juanajuato and INIichoacan. The natives of the district are said by I'rof. Duges to believe the mn'/'s (J" cnyofe to be the source of the cultivated varieties of maize, notwithstanding the recognized dill'er- OF ARTS AND SCIENCES. 161 ences between them. The kinds of corn in cultivation about Gua- najuato are described by Prof. Duges as the ma'is arribeno, with hard sind shining kernels ; t7iais commun, softer and less shining, either yel- low, black, or red ; ma'is molonco, resembling the last, but with smaller kernels, growing in the " bad lands," and the difference probably due to the poverty of the soil ; and a popcorn, mais rosero. All of these are affirmed to be very unlike the ma'is de coyote, which appears to be known only in a wild state. As shown by Dr. Sturtevant in the lleport of the N. Y. Agricul- tural Experiment Station for 188G, the varieties of corn cultivated generally by the Indians of Mexico all come into the group desig- nated by him as "soft corns" ("Zea* amyfacea "), in which the broad flattened kernels are composed wholly of starchy matter in addition to the embryo. A peculiar kind was found by Dr. Palmer at the Indian village of San Padro, Guadalajara, of which Dr. Sturtevant forms the distinct group of " starchy sweet corns " (" Zea^ amylea- saccharata "), inteimediate between the sweet and soft corns, having a wrinkled exterior and the summit of the kernel corneous. It is evident that so far as the grain is concerned these have little resem- blance to the ma'is de coyote. 4. Notes ujyon a Collection of Plants from the Island of Ascension. During the visit of the U. S. Eclipse Expedition of 1S89 to the island of Ascension, Mr. E. J. Loomis of the Nautical Almanac Bu- reau, Washington, made a collection of such plants as chanced to at- tract his attention. Though very small, it adds some species to the previously known flora of the locality, a full account of which is given by Mr. W. B. Hemsley in the botanical report of the voyage of the " Challenger." The vegetation of the island, as there stated, is re- stricted almost wholly to " Green Mountain," an elevation of nearly 3,000 feet altitude, which condenses the moisture of the southeast trades, and is consequently subject to frequent rains and fogs. At about three hundred feet below the summit the peak is encircled by a nearly level road, known as " Elliott's Pass," which generally fol- lows the very irregular contour of the mountain, but is occasionally carried through a spur by means of a tunnel. When these tunnels are short, they are lined throughout, roof and sides, with the most delicate and beautiful ferns, as are also the longer tunnels so far as daylight extends. It was on this part of the mountain that much of the collection was made. VOL. XXVI. (n. S. XVIII.) 11 162 PROCEEDINGS OP THE AMERICAN ACADEMY The entire plia^nogamous flora native to the island, as given by Mr. Hemsley, includes but twelve species, and ten of these are marked by him as only doubtfully indigenous. The two other species, Hed- yotis Adscensionis and Euphorbia origanoides, are endemic. The cryptogamous flora is somewhat more extensive, the same authority giving a list of fourteen ferns (including a Lycopodium), thirty-five mosses and hepatics, and a dozen lichens. The following is a list of the species of every kind collected by Mr. Loomis, of which those in italics are without doubt introduced plants. The species of ferns described as new have been submitted to Prof. Eaton and to Mr. J. G. Baker. The mosses were determined by Prof. C. R. Barnes, the single hepatic by Prof. L. M. Underwood, and the lichens by Prof. Farlow. It is to be regretted that the oppor- tunity could not have been improved to make a larger and more complete collection of the plants of the island, for it is probable that a thorough search would increase considerably the number of indige- nous species now known. Argemone Mexicana, L. Abundant. Senebiera didyma, Pers. Oxalis corniculata, L. RuBUS NANUS. Stems very short (1 or 2 inches high), from a woody caudex, erect, armed with numerous short recurved prickles, about 3-flowered at the summit: stipules narrow, acuminate, entire or sparsely toothed ; petioles short, pubescent and prickly ; leaves mostly simple and rounded, snbcordate at base, unequally and subincisely ser- rate, somewhat .'3-lobed or sometimes ternate, sparsely villous above, prickly on the veins beneath: calyx small (about 4 lines broad), the base prickly : carpels rather numerous, on a depressed receptacle, gla- brous ; styles short. — Described from a single specimen found near the entrance of a tunnel in Elliott's Pass. It appears to be a very distinct and peculiar species of a genus not otherwise represented in the flora of the islands of the South Atlantic. liidcns pilosa, L. Lactuca Scan'oh, L. (?) Foliage only. Euphorbia origanoidks, L. Commellna nudijlora, L. CvpiiRus UMBELLATUS, Beuth. Foliagc only. Lycopodium cernuum, L. Pteuis incisa, Thunb. Pteris flabellata, Thunb., var. Ascensionis, Hook. & Bak. OF ARTS AND SCIENCES. 1G3 AsPLENiUM AsCENSlONiS. Stipes slender, tuftetl, an inch Ion" or less, naked, dull brownish green ; frond 3 to G inches long, often root- ing at the apex, 6 to 10 lines broad, the rhachis channelled above and narrowly winged ; pinna? about 20 (15 to 25) on each side, very irregular in shape (nearly as in A. fragile), in the middle of the frond somewhat quadrilateral and nearly twice longer than broad, often more or less deeply lobed at base on the upper side, obtuse, irregularly and obtusely few-tooihed or the lower margin entire, the lowermost usually round-deltoid, nearly equilateral and often lobed both sides, the uppermost becoming cuneate-obovate : sori linear-ob- long, oblique, 1 to 6 on each side. — This adds another species to the closely allied -4. vmc/e group, intermediate between A. fragile and A. vagans. It is probably the same as the A. dentatum reported by Bory as collected on the island by D'Urville. Mr. Baker informs me that he also finds a specimen in Herb. Kew, among their A. fragile, which was given by " Don " (probably George, the younger, and col- lected by him on his trip to Sierra Leone) to Lindley in 1831. Nephrodium molle, Desv. Specimens very variable and mostly much reduced. Nephrodium (?) viscidum. More or less densely glandular-fibril- lose throughout ; stipes from a slender creeping rhizome, brown, about an inch long, bearing a lanceolate acuminate pinnate frond 3 inches long ; pinnae (except the upper ones) cleft nearly or quite to the mid- vein, the thin broadly oblong segments (1 to 2 lines long) obtuse, more or less crenate-serrate, glandular-villous beneath. — A single speci- men, not in fruit, and the genus consequently indeterminate. Though strongly marked by its glandular-fibrillose character, it is not recog- nized by either Mr. Baker or Prof. Eaton. The former thinks it a starved Nephrodium, but "it cannot be N. Ascensionis" the only species excepting the last that is known from the island. Gyjinogramme Ascensionis, Hook. Camptlopcs introflexus, Brid. Ehacopilum gracile, Mitt. Dicranella ? Lejeunia pterota, Taylor. Theloschistes chrtsophthalma, Norm., var. flavicans, Wallr. Parhelia saxatilis, Ach. ? 164 PROCEEDINGS OF THE AMERICAN ACADEMY XIL contribution from the gray herbarium of 'harvard university. DESCRIPTIONS OF NEW PLANTS, CHIEFLY GAMOPET- ALJS, COLLECTED IN MEXICO BY C. G. PRINGLE IN 1889 AND 1890.* By B. L. Robinson. Presented by Sereno Watson, April 8, 1891. Xylosma Pringlei. Monoecious, glabrous, armed at the nodes with simple acicular spines 3 to 5 lines in length : leaves small, fasci- cled in the axils of the spines, coriaceous, elliptical, obtuse, attenuate to a subsessile base, serrulate, veiny, shining above, pale beneath, 9 to 16 lines long by half as broad ; the edges more or less revolute and the teeth incurved : flowers fasciculately grouped, 3 to G together, with no common peduncle ; pedicels slender, 3 or 4 lines long : sepals 4, ovate, acutish, scarcely exceeding half a line in length, glabrous or puberulent on tlie outer surface, ciliate, minutely pubescent within : stamens 12 to 18, twice as long as the sepals: style 2-3-cleft, and the ovate ovary in- completely 2-3-celled ; fruit not seen. — In the Sierra Madre near Monterey, August, 1889 (n, 2784). This is perhaps the same as Dr. Palmer's n. 10G2 (collected between San Luis Potosi and Tampico), which differs principally in its ovate leaves and verrucose stem. Desmodium Jaliscanum, AVatson, var. (?) ohtusum. Stem 5 to 10 feet high : leaves elliptic, oblong, or even slightly obovate, very obtuse, apiculate : calyx-teeth ovate, obtusish, the upper one refuse ; pods appressed-pubescent, very numerous in dense simple or branched racemes. — Rocky slopes, Tamasopo Canon, San Luis Potosi ; Octo- ber, 1890 (n. 3290). PiMPiNELLA IMexicana. Glabrous : root more or less thickened ; stem 4 feet high, with scanty foliage, panioulately branched above : the radical and lower cauline leaves very long-petioled, ternate ; leaf- * Of tlie plants here described the last three only were sent from California and Wasliington by other collectors. OP ARTS AND SCIENCES. 165 lets deeply 2-3-parted, the segments ovate or lanceolate, acuminate, more or less narrowed at base, 1 to 1^ inches long, 10 lines or less in breadth, green above, pale beneath, serrate, the margins of the teeth being slightly thickened and cartilaginous ; upper leaves scattered in the diifusely branched inflorescence, pinnately or ternately parted with long linear toothed or serrate segments ; the highest leaves reduced to Hliform bracts ; involucres and involucels none : umbels numerous, with few (2 to 6) often unequal rays 6 to 9 lines in length ; umbellets about 12-flowered, only 2 or 3 flowers in each being fertile: corolla white (?) or in the sterile flowers not infrequently purple : fruit a line long, the ribs not very prominent ; stylopodiura depressed, the margin crenute ; oil-tubes numerous ; inner surface of the seed plane or very shallowly concave. — Hills of Patzcuaro, Michoacan ; November, 1890 (n. 3331). EuPATORiUM EspiNOSARUM, Gray, var. subintegrifolium. Leaves ovate, acuminate, subentire, very glutinous on both sides : scales of the involucre a little longer and more acute than in the typical form, being in these respects more as in var. amhigimm, Gray. — Shaded ledges of lime-rock, San Jose Pass, San Luis Potosi ; Oc- tober, 1890 (n. 3311). Gymnolomia decumbens. Stems several from a ligneous base, decumbent, simple or branched from near the root, smoothish below, roughened above with very short appressed hairs : lower leaves oppo- site, elliptical, acute, narrowed to a sessile base, subentire, thickish, rough-pubescent, green on both sides, \^ inches long by half as broad ; the upper similar but narrower, alternate, sparse : heads terminal, soli- tary or 2 or 3 together; involucre ^ inch in diameter; outer scales ovate, acuminate, very rough, the inner larger, smoother, obtusish ; chaff oblanceolate, acuminate; rays 12 to 15, narrow, over half an inch in length, yellow ; achenes (immature) smooth, angled, and with no trace of teeth or awns. — Rocky hills, Tultenango, State of Mex- ico; September, 1890 (n. 3263). This species resembles G. rudis, Gray, but differs in its decumbent habit, smaller and more entire leaves, smaller heads, ovate not oblong involucral scales, and longer narrower rays. From G. multijiora, Nutt., it differs in the ligneous clearly perennial base, as well as in the involucre, etc. Otopappus ALTERNiFOLius. Stem 3 to 6 feet high, striate, smooth- ish or slightly tomentulose : leaves alternate, ovate-lanceolate, acumi- nate at both ends, subsessile, with a short roughish pubescence above, white-tomentose beneath: heads in an open corymb, about 15, half an inch or more in diameter ; scales of the involucre in several rows, nar- 166 PROCEEDINGS OP THE AMERICAN ACADEMY rowly oblong or lanceolate, some rounded at the apex, others acute . rays 12 to 25, little exceeding the disk; pappus of two very unequal awns, the inner more than half as long as the achene, the outer much shorter ; achenes smooth, with a single rib on each face, edges acute, the outer usually wingless, the inner with a narrow wing, which ex- tends up upon the inner awn and there broadens into an auricular appendage. — Limestone liills, San Jose Pass, San Luis Potosi ; Oc- tober, 1890 (n. 3310). From its peculiar pappus with wing-appen- dages this plant must be referred to the genus Otopappus as extended by Herasley (Biol. Cent. Am. Bot. 2. 191), and placed near 0. epale- aceus, Hemsl. The whole habit of the plant with its alternate leaves is that of a Verbesina, and it seems thus to connect the two genera, especially since there are several species of Verbesina, as V. Hum- boldtii, Spreng., and V. perymenoides, Schultz Bip., in which the achenes are more strongly winged on one side than on the other. Senecio Guadalajarensis. Herbaceous; stem erect, leafy, sul- cate-striate, smooth : leaves elongated lanceolate, 6 to 8 inches long, 9 to 15 lines broad, acute, narrowed at base to a very short naked petiole, pinnately veined, callous-denticulate and minutely ciliate, cori- aceous, glabrous on both sides except the veins beneath, the upper surface green, covered with lighter-colored warty blotches (pathologi- cal ?), the lower surface very glaucous : corymb ample, with rather numerous medium-sized heads; scales of the involucre about 10, strongly carinate, acutish, 4 lines long : rays about 5, rounded at the apex ; teeth of the disk-corollas exceeding the short campanidate throat and half the length of the slender tube proper: achenes ribbed, puberulent. — Rich slopes of barranca near Guadalajara, Jalisco ; Sep- tember, 1890 (n. 3280). Laurentia ovatifolia. Annual, 6 to 12 inches high, puberu- lent ; stem slender, flexuous, angled, subsimple or branched above : leaves petiolate, ovate, acute, abrupt or subcordate at base, finely and regularly serrate, about an inch long, two thirds as broad, the lowest smaller, rounder, obtuse, the upper lanceolate ; petioles 3 to 5 lines long; pedicels filiform, cui-ving upward, 9 to 12 lines long, two to four times longer than the linear-filiform bracts : flowers small, racemose ; calyx-tube hardly any, the lobes linear, acute, not quite equalling the corolla-tube ; corolla 2 lines long, the nearly white tube split half-way to the base behind; limb blue, with very dissimilar lobes, the three lower obovate, somewhat united to form a spreading lip, the two upper erect, contracted to narrow points : stamens inserted near the middle of the tube, the two smaller anthers peuicillate : capsule OF ARTS AND SCIENCES. 167 ovute-oblong or elliiJtic in outline, papery, almost entirely superior, 2-valved at the apex. — Shaded bauks near Guadalajara; September, 1S89 (u. 2985) ; also near Cardeuas, Sau Luis Potosi, 1890 (u. 3302). This plant, which was distributed under the name of Laurentia Michoa- caiia, var. ovatifolia, appears ou further examination to be distinct from n. 3337, of which it was at first regarded as a variety. It has the habit of a Lobelia, but the corolla is split behind only part way to the base. While in the limb of the corolla and the insertion of" the sta- mens it agrees rather closely with Palmerella, the corolla-tube is short, as in Laurentia. The plant thus furnishes additional evidence that Sclionland is right in uniting the two genera. Mr. Pringle's n. 3337, the plant which was distributed as Laurentia Michoacana, Robinson, is without doubt closely related to the species just described, but is distinguished by its sessile leaves of considerably different form and toothing. It appears to be identical with Parry & Palmer's n. 557, which Hemsley refers to Lobelia micrantha, HBK., and with Mr. J. Donnell Smith's n. 22, the Lobelia Turckhelmii of Vatke (unedited?). The corolla in all these plants, however, is cleft only from one third to half-way to the base, a character which should certainly exclude them ft'om Lobelia, as at present defined by Ben- tham & Hooker, Baillon, Schonlaud, and others. While the speci- mens in question agree in most points with Laurentia ramosissima, Benth. &; Plook. {Lobelia ramosissima^ Mart. & Gal.), they are dis- tinguished by their much smaller flowers. Unfortunately, however, Martens and Galeotti have characterized, under the name of Lobelia farvijiura, a plant which also appears from their rather unsatisfac- tory description to differ from their Lobelia ramosissima chiefly in the same respect, namely the shorter corolla. This being the case, it seems best that all three of the numbers just cited siiould be for the present doubtfully referred to Lobelia parvijiora, JMart. & Gal., since it is highly probable that the type of this species will be found ou investi- gation to be a Laurentia, just as the Lobelia ■*'amosissima of the same authors has already proved. Lobelia novella. Stem a foot high, branching, with a few rather large leaves near the base, almost naked above : leaves petiolate, broadly ovate, acute or obtusish, rounded or subcordate at base, un- dulate and finely raucronate-denticulate, hispid on both sides, scarcely })aler beneath, 2^ to 3 inches long, 2 inches in breadth ; upper leaves few, much smaller, sharply and doubly denticulate ; racemes long, se- cund ; bractlets minute, scarcely exceeding a line in length ; pedicels 6 to 9 lines long : calyx-tube turbinate, in fruit equalling or surpassing the 168 PROCEEDINGS OF THE AMERICAN ACADEMY narrowly Imear obtuse lobes ; corolla blue and white, the lobes of the lower lip obovate-spatulate, longer than the very narrow upper lobes ; capsule half-inferior. — Cool ledges and gravelly banks, Tamasopo Canon, San Luis Potosi ; October, 1890 (n. 3288). Eesembles L. Sartorii, Vatke (ex char.), but is distinguished by the elongated ra- cemes, and by the size, shape, and indentation of the leaves. Nemacladus oppositifolius. Stems a foot high, much branched from near the ground ; branches becoming erect from a decumbent base, usually simple, each bearing about six pairs of subopposite leaves, and then continued as a lone; naked racemose inflorescence: leaves petiolate, ovate, acuminate, rounded at base but inconspicuously decur- rent upon the petioles and stem, sharply dentate, smooth, 9 to 15 lines long ; petioles 2 or 3 lines in length ; bracts minute, awl-shaped, scarcely a line in length, the bractlets subtending the calyx similar ; pedicels not exceeding 2 lines long : calyx-tube short, rounded at base, the segments equal, awl-shaped, acute, a line long ; corolla-tube not equal- ling the calyx-lobes, the lower lip consisting of two ovate spreading segments, much longer than the three upper lobes: stamineal column ascending against the upper lip of the corolla and then curved forward ; anthers stellately divaricate around the stigma, not at all appendaged : mature capsule nearly equalling the calyx-lobes, two-valved a*^ the apex. — Dry calcareous bluffs near Cardenas, San Luis Potosi ; October, 1890 (n. 3300). This plant, which is identical with Dr. Coulter's n. 30, differs greatly in habit from the known species of Nemacladus. It possesses, however, just the characters which distinguish this genus in such a marked manner ; namely, the stellately divaricate anthers, and the division of the corolla into a three-lobed upper lip and a two- lobed lower lip. The subopposite leaves appear to be anomalous among the Loheliacece. Symplocos Pringlei. a small tree, 20 to 30 feet high ; branch- lets and petioles covered with a very short rufous tomentum : leaves elliptical, varying from obtusish to abruptly acuminate, cuneate at base, sharply and regularly serrulate, subcoriaceous, green and glabrous above, slightly paler beneath and pubescent especially along the mid- rib, 2.^ to 4 inches long by 1^ broad ; petioles 4 to 6 lines long : flowers usually aggregated by twos and threes, subsessile upon a scarcely dis- tinguishable common peduncle, occasionally solitary ; calyx silvery- sericeous ; lobes ovate, rounded or more or less pointed at the apex; petals 5, broadly spatulate, coherent for a third of their length, either smooth or very minutely pubescent on the outer surface : stamens ob- scurely 4— 5-delphous, united high up. adnate to the corolla for half its OF ARTS AND SCIENCES. 169 len«'tli : lower part of the style as well as the apex of the ovary strongly hirsute ; ovary 3-celled ; fruit oblong, dark-colored, with slight puberu- lence, tipped with the hardened calyx-teeth. — Hills of Patzcuaro, Michoacau ; November, 1890 (n. 334a). Resembles in many respects S. prionophyUa, Hemsl. (ex char.), but has leaves not at all ovate, and the petals nearly smooth and united with each other and with the stamens for about half their length. In the species just mentioned they are described as nearly or quite free. GoxoLOBus PARViFLOKUS, Gray, var. brevicoroxatus. Corolla erect, instead of being reflexed as in the type ; the outer crown of five short rather thick truncate scales, which are not at all produced into lobes at the edges; the inner crown of five horns as in the typical form. — Laredo, Texas; July, 1889 (n. 3029). BuDDLEiA Chapalaxa. Suffruticose ; branches with a smooth yel- lowish bark ; branchlets woolly : leaves ovate or ovate-oblong, 1^ to 2^ inches long, an inch broad, appearing more or less rhombic in out- line from being contracted at base into a broadly winged petiole, au- riculate-perfoliate, acute, rather coarsely and bluntly toothed, woolly on both sides when young, becoming nearly smooth at maturity and re- taining only a slight mealiness ; floral leaves much smaller, lanceolate, scarcely perfoliate : flowers in globular heads ; the heads half an inch in diameter and borne in pairs on axillary peduncles about 4 lines long; corolla 1\ lines in diameter, short, not or scarcely exceeding the woolly calyx. — On dry cliff's in the mountains near Luke Chapala, Jalisco; December, 1889 (n. 2972). CoRDiA Pringlei. A shrub 10 to 15 feet high, belonging to the section Dasycephal(E ; branchlets, peduncles and petioles stellate- tomentose : leaves ovate or ovate-oblong, more or less narrowed to an obtuse apex, often one-sided, all but the smallest abrupt or even subcordate at base, crenate-dentate with irregular teeth, green and finely stellate-pubescent above, lighter and tomentose beneath, 3 inches long, 1 or 2 inches broad ; petioles 6 lines in length : heads globular, an inch in diameter on subterminal peduncles 1^ inches long ; calyx narrowly campanulate, the tube white-pubescent, and the filiform teeth stellately ferruginous-pubescent, curled irregularly, mostly reflexed ; corolla funnel-form, white, 5 lines broad, with obtuse lobes: stamens inserted near the summit of the pubescent throat. — Las Palmas, San Luis Potosi ; June, 1890 (n. 3091). Differs from C. omhigua, Cham. &, Schl., in its larger heads and the abrupt or subcordate bases of the leaves, as well as in the absence of the long spreading hairs on the petioles and peduncles. Mr. Pringle's plant much resembles a speci- 170 PROCEEDINGS OF THE AMERICAN ACADEMY men from Nicaragua, collected by C. Wright (N. Pacif. Expl. Exped. 1853-56). The latter differs, however, in its larger flowers aud more finely toothed leaves, which are more densely aud roughly pubescent upon the upper surface. Heliotkoi'IUM Phinglei. a spreading annual, branching from the base, 2 to 5 inches high, silky-villous : leaves elliptic-lanceolate, acute at both ends, 4 to 6 lines long, 2 lines broad; petioles 1 or 2 lines long : flowers scattered along the leafy branches from near the base ; calyx-lobes lance-linear, acuminate ; corolla-tube 1 to 1^ lines long, the limb abruptly expanding, 2^ lines broad, with five acutish primary lubes, with which five short teeth alternate : fruit separable at maturity into four nutlets, minutely reticulate-roughened on the back but not hispid. — Santa Eulalia Mountains, Chihuahua. October, 1886 (n. 1160) ; also in thin soil of rocky hills, Las Canoas, San Luis Potosi, July, 1890 (n. 3207). This species resembles in habit // jjhyllostachyum, Torr., but has flowers more than twice as large. It is distinguished from H. Umbatum, Benth., under which name n. 1160 was distributed, by its broader leaves, very scattered flowers, more acute lobes of calyx and corolla, rougher nutlets, and its more decid- edly annual character. The inflorescence in H. Uinbatum is distinctly terminal and compact, and the root often clearly perennial. Omphalodks ACUMINATA. Stem weak, procumbent, dift'usely branched, nearly smooth, 18 inches long or more, leafy throughout : leaves deltoid, attenuate-acuminate, entire, 2 inches long, 15 lines in breadth, cordate with rounded lobes and broad sinus, membranaceous,^ nearly smooth above, puberuleut with very short hairs beneath ; the upper leaves smaller, lanceolate, subcordate or rounded at base ; peti- oles 1 to 1^ inches long: peduncles lateral, scattered, very slender, flexuous-sprcading, 9 to 12 lines in lengtli : calyx-lobes oblong, acute; corolla 4 or 5 lines broad, rose-color, with short tube and rounded spreading segments ; scales very prominent, nearly globular, minutely papillose : nutlets orbicular, only one in each flower ripening, 1^} lines in diameter at maturity, flat, horizontal over the gynobase, the wing reflexed, about 30-tootlied. — Li the Sierra Madre. near Monterey ; June, 1888 (n. 2220). Resembles 0. cardioplii/Ua^ Gray, but is smoother throuirhout and has much longer stems of more strairuling habit, the leaves twice as large, of more delicate texture, and much more attenuate at the apex. In that species, moreover, two to four nutlets mature and the wing-borders have but half as many teeth. IroAiai;AL Leonensis. Root tuberous, an inch thick ; stem twining, striate-angulate, minutely roughened : leaves deeply palmatQly 5-lobed, OF ARTS AND SCIENCES. 171 cordate or subcordate, 3 to <) inches broad, punctate above and with a soft deciduous tomentum beneath, the lobes lanceolate, rounded at the apex and inconspicuously niucronate, or in young leaves sometimes acutii?h, the two outer lobes of the larger leaves each appendaged at base with a large blunt auricle ; petioles an inch long or more, rough- ened especially near the base by numerous small tuberculate glands : peduncles 2 inches long, l-flowered, puberulent ; bractlets minute or obsolete ; pedicels half an inch long: sepals ovate, with rounded apex, 4 lines long, canescent with very short ai)pressed silvery hairs ; co- rolla nearly 3 inches long, twice the length of the stamens, purple. — Calcareous ledges near Monterey ; June, 1889 (n. 2840). Allied to Ji digitata, L., but differing in its l-flowered peduncles and glandular petioles, as well as in the shape and pubescence of the leaves. The flowers are also larger and the throat relatively narrower. Bassovia Mexicana. A shrub, 5 to 15 feet high; branches un- equally dichotomous, slightly striate-angled and minutely verrucose : leaves membranaceous, geminate, ovate, acuminate, the larger 1^ to 2 inches long, | to 1 inch broad, the smaller half as large, all abrupt at base or slightly decurrent on one side upon the slender petiole, green on both sides, slightly scabrous above, sparsely pubescent on the veins beneath : inflorescence umbelliform, sessile, axillary ; pedicels 2 to 6, l-flowered, 4 to 5 lines long, striate, slightly thickened upward : calyx spreading, shallow cup-shaped, strictly truncate, persistent; corolla 3 to 3^ lines in length, divided to the middle or even more deeply ; tube short, slender; limb campanulate, of 4 or 5 lanceolate acuminate seg- ments, puberulent upon the outside; stamens exserted, the filaments at maturity exceeding the anthers ; throat of the corolla and base of the filaments bearded : fruit the size of a pea, red (turning black?), many-seeded ; seeds a little over half a line in diameter, compressed, roughened with pits. — Tamasopo Cafion, San Luis Potosi ; June, 1890 (n. 3071). Resembles some species of the genus Brachistus in its truncate calyx, but has the deeply cleft valvate corolla of Bas- sovia, and shows close affinity to B. macroplnjlla, Benth. & Hook. (Witheringia macropl/ylla, auct.), from which it differs principally in its ligneous stem, much smaller leaves, fewer-flowered fascicles, and more persistent calyx. The distinctions between Bassovia and Bra- chisfus are not at all satisfactory, and considering the intermediate char- acter of this new species it seems best to refer it to the older genus. AVithania(?) melanocystis. a shrub, 5 to 8 feet high, minutely pubescent on the leaves and younger parts; branches gray, striate : leaves single or geminate, lanceolate to ovate-lanceolate, acute, entire 172 PROCEEDINGS OF THE AMERICAN ACADEMY 15 lices long by 6 wide, narrowed at the base into a petiole 3 to 4 lines iu length : flowers 2 to 4 at each node, usually but one of each group fruiting ; common peduncle none ; pedicels slender, 3 lines long : calyx-teeth 5, at authesls ovate, one third as long as the tube ; fruiting calyx much enlarged, bladder-like, neither angled nor conspicuously veined, becoming black, 9 lines in diameter, with throat contracted and teetli relatively short ; corolla campanulate, 5 lines long, with a more or less spreading limb of five ovate acutish segments equalling the tube, pale yellow with conspicuous dark spots in the puberulent throat; filaments inserted in the middle of the short tube, half the length of tlie oblong anthers : berry globular, red, much smaller than the enclosing calyx ; seeds roughened, compressed, yellow. — Tama- sopo Caiion, Sau Luis Potosi ; June to October, 1890 (n. 32S5). A plant of puzzling affinities, possessing the habit of a Phi/salts, but hav- ing a woody stem, clustered flowers, calyx without conspicuous angles or veins, and anthers much exceeding the filaments. Some of the characters resemble those of Athencea ; in that genus, however, the fruiting calyx is much more deeply divided. Herpkstis auriculata. Roots fibrous; stem erect, smooth, sharply 4-angled, much branched above, a foot high ; branches mostly simple: leaves lanceolate, acute, serrulate, sessile with an auriculate-clasping base, punctate, 8 to 10 lines long, 3 lines broad ; floral leaves gradu- ally reduced to linear bracts 2 to 3 lines long : flowers small, axillary, mostly in pairs, opposite at each node; pedicels (iliform, 3 lines long; divisions of the calyx acuminate, a line long, becoming l-^- lines long in fruit, very unequal in breadth, tlu-ee of them ovate, the inner two rather narrowly lanceolate, none of them at all oblong ; corolla pur- plish, 3 lines long, slightly bearded within near the summit of the tube ; rudimentary stamen present, very small, subulate : capsule de- pressed-ovoid, suhglobose, not exceeding the calyx, 2-valved. — AVet places near Guadalajara; November, 1889 (n. 2937). Gerardia punctata. Stem puberulent, nuich branched: leaves small, numerous, opposite or appearing fascicled, linear, entire, acute, smooth, 7 to 10 lines long, a line or less in breadtli ; bracts similar: flowers rather numerous, opposite in long subspicate racemes ; pedicels 1 to 2 lines long: calyx smooth, 10-nerved, often punctate with small purple dots, the five teeth lanceolate, acuminate, exceeding the tube, tlie intermediate nerves terminating at each sinus in a minute glandu- lar prominence ; corolla purple, tubular-campanulate, an incli long, the lobes a fourth as long as the tube; stamens conspicuously didyna- mous, the upper pair being much shorter and having considerably OP ARTS AND SCIENCES. 173 smaller anthers than the lower ; filaments glabrous ; anthers hirsute, mucronate at the base of each cell : style piiberuleut ; capsule ovate, acuminate, equalling the calyx-lobes; seeds oblong, light brown, the external seed-coat loose, cellular, and iridescent. — Hills of Zacatccas ; October, 1888 (n. 2183). Castilleia m acrostic. ma. Perennial, 8 inches to a foot hi'di, nearly smooth or more or less hispid with weak spreading hairs : leaves small, rather numerous especially at the base, linear, acute, en- tire, subamplexicaul, 1-3-nerved, 9 to 15 lines long, seldom exceed- ing a line in breadth ; floral leaves broader and shorter, lanceolate or narrowly ovate, angled or sparingly toothed toward the apex, often yellow-tipped : flowers closely sessile in a short spike, slender, 8 to 12 lines long, surpassing the bracts; calyx light yellow, equally cleft be- fore and behind, the lobes emarginate or two-toothed ; corolla a third longer than the calyx, yellow, the lower teeth linear, acuminate, erect: stigmas conspicuously exserted, thickish, sometimes more than a line long, recurved. — Grassy slopes, Flor de Maria, Mexico ; July, 1890 (n. 3194). This appears to be the same as Mr. Pringle's n. 1545 from Chihuahua, which was distributed under the provisional and unedited name of C. h'ihospermoides, HBK., var. (?) jlava, Watson. Specimens of this number differ from 3194 chiefly in being more his- pid and in having the stigmas less prominently exserted, which differ- ences may be in part due to the less advanced stage of development. Both plants differ from C. lithospermoides in the size and color of the corolla, in the deeply cleft conspicuously exserted stigma, and also in the shorter relatively thicker and more coarsely reticulated seeds. RuELLiA BouRG^i, Hemsley. The mature cajjsules of this species, which were wanting in the type specimens and could not therefore be described, are excellently shown in Mr. Pringle's u. 2951 (barranca near Guadalajara, September, 1889). They are rigid, lanceolate, acutish, cuspidate, glabrous, 2 to 2\ inches long and ^ inch broad, the valves with a conspicuous median furrow; hooks ascending, bifid; seeds orbicular, nearly 3 lines in diameter. JusTiciA Pringlei. Herbaceous, 2 feet high, hirsute with spread- ing white hairs : leaves ovate, acuminate, entire, petiolate, l-g- to 2^ inches long, half as wide ; the lowest smaller, orbicular, obtuse : flowers small, distant, borne in a spreading panicle ; lower bracts foliar, ovate, the upper much smaller, lanceolate ; bractlets minute, awl-shaped, half the length of the calyx ; calyx-teeth 4, narrowly linear, attenuate, 2^ to 3 lines long ; corolla 4 to 5 lines long, pale rose-color, the limb nearly equalling the tube, the upper lip narrowed to a retuse summit, 174 PROCEEDINGS OF THE AMERICAN ACADEMY the lower lip rounded : anther-cells nearly equal in size, the upper not ciliate, minutely mucionate at the base, the lower with a conspicuous spur: capsule 5 lines long, soft-pubesceut, 4-seeded; seeds compressed, very hairy especially at the edge. — On hills near Guadalajara; Oc- tober, 1889 (n. 2967). This species seems anomalous among the New "World members of the genus. It resembles more nearly the species of the § Rhaphidospora of the Old World, which have a diffuse inflorescence and echinate-hispid seeds. It differs from § Sarotheca chiefly in lacking the ciliation of the anthers. CiTiiAREXYLU.At Berlandieri. Ten to fifteen feet high; branches gray, striate ; branchlets pubescent, striate, acutely 4-angled but soon becoming round ; leaves ovate or rhombic, varying in the same indi- vidual from acute to refuse at the apex, shortly cuneate at base, mem- branaceous, puberulent above, soft-pubescent beneath, 1 to If inches long, 9 lines broad, entire, or some with a few blunt teeth near the apex ; inflorescence termhial, subspicate, more or less flexuous, 1 to 2 inches long, becoming more rigid in fruit; pedicels half a line long, with minute filiform bractlets of the same length: calyx turbinate, 2 lines long, striate, pubescent, the five subequal teeth erect, very short and blunt; corolla-tube just equalling the calyx, pubescent within, the spreading limb of five rounded lobes, puberulent on both sides : fertile stamens four, filaments hairy; the fifth stamen present as an an- therless rudiment: drupes dark brown, as large as peas, crowded in the spikes. — Rocky hills. Las Canoas, San Luis Potosi ; July, 1890 (n. 3222). Apparently identical with n. 3182 of Berlandier, coUectecf near INIatamoras, May, 1832. This specimen of Berlandier's was doubtfully referred by Dr. Gray to C villosum, Jacq., and has formed the sole evidence that this species occurs in Mexico. In the light of ]\Ir. Pringle's better material, however, it is clear that the Mexican plant is quite distinct from the species just mentioned. Scutellaria hispidula. Perennial with ligneous base; stems numerous, mostly sim[)le, hispidulous, a span high, often dark purple as well as the floral leaves and calyx : leaves small, ovate or ovate-elliptic, subglahrous or very minutely hispid but not at all cinereous-pubes- cent, 4 to 5 lines long (about half the length of the internodes), 2 to 3 lines broad, all except the very lowest abrupt at the base and sessile : flowers numerous, of medium size, with short pedicels ; calyx strongly accrescent, hispid with short white hairs ; corolla blue, white in the throat, soft-pubescent on the outside, 5 to 7 linos long, the upper lip but slightly cucuUate ; upper stamens often exserted. — Meadows, Flor de Maria, ^lexico ; August, 1890 (n. 3233). A plant with the habit OF ARTS AND SCIENCES. 175 of -S. Dnomnondii, Bentli., and S. Wrif/ldil, Gray, but distinguished from the former by its ligneous base and clearly perennial nature, and from the latter by the form of the leaves, character of the pu- bescence, smaller blue flowers, and less cucullate ujiper lip. Whilt! it may ultimately prove to be a variety of ^S. WrigJitii, such a disposi- tion of it in the absence of connecting forms and with the difference of geographic occurrence would at present be unwarranted. Mi.MULUS CoNGDONii. Very small, at flowering subacaulescent ; stems glandular-pubescent, becoming in iVuit 1 to 4 inches higii, much branched near tlie base ; branches simple : leaves ovate or lanceolate, obtuse, entire, dark purple beneath, \ an inch long, narrowed at base to ciliate petioles of nearly equal, length ; peduncles in fruit 1-^ to 2 lines long, often reflexed : flowers very small; calyx-tube very slender, prismatic, glandular-puberulent, moderately gibbous at base, becoming strongly so in fruit, ending obliquely in short teeth, the upper tooth the longest; corolla rose-purple, the slender tube 4 to 6 lines in length, with little or no distinctly enlarged throat, the sub- regular abruptly spreading limb H to 2 lines in diameter; stamens strongly didynamous, the upper pair much shorter and occasionally with abortive anthers: style puberulent above; capsule cartilaginous, very gibbous, laterally compressed, narrowed from a moderately broad base, acute, deeply furrowed on the sides ; seeds minute, acute at each end. — Collected by Mr. J. W. Congdon, in Mariposa County, Cali- fornia, at Zimmerman's Ranch, in March, 1887, in April, 1888 (flowers and fruit), and in iMay, 1888 (fruit); also at Stockton Creek, March, 1889 (flowers) ; and at Agua Fria (fruit). The diminutive size and nearly acaulescent character of flowering specimens of this plant made it at first appear probable that it represented merely a dwarfed, early-spring form of one of the larger-flowered species. The constant characters of Mr. Congdon's specimens, however, collected as they were at different dates and localities, and representing verj' dif- ferent stages of development, prove it a normal form and a distinct species. While the vegetative habit is much like that oi 31. Kelloygii, Curran, it is distinguished from that species by its much shorter co- rolla-tube and smaller limb, as well as by its acute and not at all oblong capsules. From M. pnlcheUns, Greene, it differs in its smaller rose-purple corolla without the yellow lip, in its much shorter calyx- teeth, and in other ways. In its short corolla-tube and very gibbous capsule it resembles 31. latifoUus, Gray, but differs in its smaller size, in its habit of branching from the base, (the stem of 3f. latifoUvs although branching al)ove is simple below,) in its very slender calyx- H I 176 PROCEEDINGS OF THE AMERICAN ACADEMY tube, longer and usually reflexed peduncles, and relatively slender and more acute capsules. Like M. latifoliiis, this species is somewhat in- termediate between §§ (Eiioe and Eunanus. MiMULUs GRAciLiPES. A delicate annual, 3 to 5 inches high ; stem usually simple, glaudular-puberulent under a lens : leaves about four pairs, very small, seldom exceeding 4 lines in length, sessile, lanceolate, obtusish or scarcely acute, entire or minutely denticulate, the round- ish cotyledonary(?) leaves persisting at base: peduncles springing by pairs from each node, an inch long, filiform, spreading horizontally and gracefully curved upward : calyx oblong-campanulate, a little over 2 lines in length, a line in diameter, the equal teeth slightly spreading, obtuse, strongly ciliate ; corolla rose-purple with yellow markings in the throat, the tube not quite twice the length of the calyx ; limb spreading, 3 or 4 lines in diameter, strongly bilabiate, the upper lip much shorter than the ample 3-lobed lower one : capsule symmetrical, of delicate texture, elliptical in outline, 2 lines in length, included in the scarcely inflated calyx ; seeds obtuse, apiculate at each end. — Collected by Mr. J, W. Congdon, at Mormon Bar, Mariposa County, April, 1889, Near M. ruhellus, Gray, and M. dejlexiis, "Wat- son, but differing from the former in its simple stem, much larger co- rolla, and longer peduncles ; from the latter in the color of its corolla; and from both these and various other related species in its ciliate calyx. Aster Engelmanni, Gray, var. (?) paucicapitatus. Slender; stem weak and flexuous : leaves numerous, oblong-elliptic, obtusi?h, apiculate, puberulent above and with scanty traces of tomeutum be- neath, 10 to 15 lines long, a fourth as broad : heads solitary, terminal, or sometimes 3 to 5 ; scales of the involucre more equal and less closely imbricated than in the typical form or other varieties; rays white or pink. — Collected by Mr, C, V, Piper iu the 01ym{)ic Mountains, Washington, September, 1890. This is a very puzzling form and perhaps a distinct species. If, however, Dr, Gray was right in class- ing A. ledophylliis, Gray, and A. Engehnanni, var. glaucescens, as va- rieties of the same species, Mr. Piper's plants, which are in some regards intermediate between these varieties, should probably also be included iu ji. Engelmanni. In closing, the writer wishes to express his warmest thanks to Dr. Serene Watson for his kind and ready aid in many points of dillicult classification and perplexiug uomeucluture. OF ARTS AND SCIKNCE3. 177 XIII. CONCERNING THE LIFE-HISTORY OF SACCORHIZA DERMATODEA, (De la Pyl.) J. Ag. By William Albert Setchell. Presented by W. G. Farlow, June 10, 189L We owe our first knowledge of this interesting species to Baron de la Pylaie, who discovered it iu 1816, on his first visit to Newfoundland and the neighboring islands of St. Pierre and Miquelon. He deposited specimens of this plant with the Museum of Paris in 1817, and gave to it the name of Laminaire en forme de cuir, or Laminaria der- matodea. In his second voyage to Newfoundland, in 1819, De la Pylaie extended his observation on this species. In 1824 he pub- lished the name given to the herbarium specimens, as well as a few remarks on the affinities of the species, in the " Annales des Sciences Naturelles." But it was not until 1829, however, that he gave any detailed account of its form and structure. In that year he published the first part of the " Flore de Terre Neuve," a work which was to include descriptions of all the plants collected by him in the "New World." This part, however, was the only one ever published, and that lacks the plates intended to accompany it. The description both of the external form and the internal struc- ture published in the " Flore de Terre Neuve " is very full. De la Pylaie considered that it replaced on the shores of Newfoundland the Laminaria bulbosa of Europe, whose near relative he rightly judged it to be. The name was suggested by the thickness and leathery con- sistency of the adult plant. The plant thus discovered and described has since been found in several other places, and a number of references have been made to it. A list of as many as have come under the notice of the writer is appended to this paper. Distribution. — The range of SaccorMza dermatodea seems to be circumpolar. It is found at Vancouver's Island, on the western coast of North America,* and along the shore of Southwestern Kam- * Harvey, Prnc. Linn. Soc, Vol. VI. p. 106, 18G2. VOL. XXVI. (n. 8. xvai.) 12 178 PROCEEDINGS OF THE AMERICAN ACADEMY tschatka.* Kjellman also credits it to the North Pacific. f It is, indeed, unknown either in the American Arctic Sea t or in the Si- berian Sea ; but the former has uever been explored to any extent, and although the latter has been more thoroughly searched, the phy- sical conditions over the greater portion of it are unfavorable to the growth of any algce. § The species reappears in the Murman Sea,|| extends into tlie White Sea, If and thence along the northern coasts of Norway.** In the Greenland Sea it occurs at Spitzbergen,tt and at " Beeren Eiland."t$ It is found in Baffin's Bay on the western coast of Greenland, §§ and extends down along the eastern coast of North America nearly to Cape Cod.|||| From the scanty references to the occurrence of Saccorhiza der- matodea in the North Pacific, one might infer that it is very scarce there. The locality in the Arctic Ocean where it is most abundant is, according to Kjellman, the northern coast of Norway ; but even there, he says, " it does not occur in any such numbers as are comparable in any way with other Lmninariacece ." On page 9G of his "New Eng- land Algai," Farlow has called attention to the fact that this species is of much rarer occurrence on the New England coast than almost any other species of the same family ; and that, while rare at its southern limit in the region of Boston, Mass., it becomes more abun- dant on the coast of INIaine. My own experience in collecting on the New England coast fully confirms this. It has never been found growing south of Nahant, Mass., where it is ordinarily rather rare. Farther north at Portland and Mount Desert Island, Maine, it is more plentiful, while at Eastport, Maine, it is said to be fairly abundant. Habitat. — Eaton HIT records that a specimen was brought up by the dredge through twenty-five fathoms of water off Campobello Island, * Riipr., Tange Och., pp. 352 and 409, 1847. t Arct. Alg., p. 38, 1883. \ Cf. Kjellman, he. cit., pp. 4 and 5, for the divisions of the Arctic Sea. § Kjellm., he. cit., p. 26. II Kjellm., Alg. Murm., p. 36, 1877. 1 L. Bcvrll, Post. & Kupr., 111. Alg., p. ii, 1840 (>/<• Areschoug). ** Aresdi., Obs. Phyc., Part III. p. 11, 1875. Kjellm., Arct. Alg., p. 225. tt J. Ag., Spets. Alg. Till., p. 31, 18G8. Kjellm., Arct. Alg., p. 225. Jt Kjellm., Arct. Alg., p. 225. §§ J Ag., Griinl. Lam. och Fuc, p. 11, 1872. lill De la Pyl., Ann. Sci. Nat., Ser. I.Tom. IV. p. 179, 1824 ; Fl. Terre Neuve, p. 48, 1829. Fallow, N. E. Alg., p. 95, 1881. IfH Trans. Conn. Acad., Vol. II. p. 343, 1873. OF AUTS AND SCIENCES. 179 near Eastport. Kjellman * says that " in the Arctic Sea proper the present species occurs in company with other Laminnriacece^ and is usually met with here at a depth of 2-10 fathoms on rocky or stony bottom"; but ''on the coast of Norway," he says, "it does not be- long to the proper formation of Lnminariacece, but descends deeper than this, even to a depth of twenty fathoms. But it is most common here," he adds, " in shallow, rather exposed bays on gravelly bottom in 4—5 fathoms." Farlow^ states f that at Eastport it is found in deep pools, but that elsewhere it is an inhabitant of deep water. I have found it at Peak's Island, growing in shallow pools between tide marks, and down to eight or ten feet below low-water mark. I did not search for it at a greater depth. At Marblehead, Mass., it occurred in a very shallow pool at extreme low-water mark. At Nahant, in May and June, 1889, it grew in abundance just below low-water mark, and in pools between tides. But a number of speci- mens were found in two rather deep pools at the uppermost tide limit. Season. — De la Pylaie mentions } that numerous very young specimens were cast ashore about the end of October; and Kjellman states § that young individuals were common during the winter on the north coast of Spitzbergen, but that on the "coast of Norway younger and older specimens are of rather the same frequency during the sum- mer months, in July and August." The season on the coast of New England seems to correspond Vfith that of the coast of Norway. I have seen young specimens of Saccorhiza dermatodea only in late spring and summer. The first young specimens I found were growing at Nahant, just below low-water mark, June 23, 1888, and were only two or three in number. On April 24, 1889, on a visit to Nahant, I found the pools full of young Laminariece of small size, among which young specimens of the present species were tolerably abundant. These were of different lengths, and a number of specimens were col- lected. A careful search was made for the very earliest stages, but none were found. Some very small plants were obtained, but none of the very earliest. It may be present in large numbers in a given locality at one season, and almost entirely wanting during the next. In June, 1888, on the northeastern side of Peak's Island, hundreds of beautiful large plants were growing just a few feet below low- water mark ; but in June, 1889, not a single plant was to be found in * Arct. Alg., p. 225. t N. E. Alg., p. 96. \ Fl. Terre Neuve, p. 49. § Loc. cit., p. 225. 180 PROCEEDINGS OF THE AMERICAN ACADEMY the same locality, even after a very careful search. lu June, 1888, only a very few plants were to be found in the tide-pools at Nahant, and those occurring in the very lowest; but in May and June, 1889, all the tide-pools were full of young plants, even the very upper- most. In the mass of kelps thrown ashore after storms are to be found comparatively few individuals of this species. They are usually more abundantly cast up in February and March than in the other months, and are for the most part old plants, which are often much mutilated. Material. — The material on which the present paper is based was collected, for the greater part, by the writer on the shores of Maine and Massachusetts. During the year 1889 the tide-pools at Nahant, Mass., furnished an excellent place for observing this species in almost all of its stages. The first collections were made in the last week of April, and the locality was visited from time to time imtil June of the following year. Collections were also made at various times at Marble- head, Mass., and at Peak's Island, near Portland, Maine. From these various collections specimens of all ages were preserved in alcohol of about fifty per cent strength, and numerous notes and observations made from them while living. Consequently a number of interesting facts concerning the development have been revealed, and certain rela- tionships more firmly established. In the following paper the mor- phology of the different periods in the life-history will be given first, and then the histological details of these same periods. Morphology. Literature. — The first description of the plant is the one by De la Pylaie in the " Flore de Terre Neuve." He describes in full the morphology of the adult plant and that of several stages of develop- ment. Pie emphasizes one point about the origin of the permanent holdfast, which seems to have been entirely overlooked by later writers. Areschong* was the next writer to add much to our stock of information. He gives a number of very valuable details concern- ing the size and form of some plants of different ages, and is the first to announce the discovery of this species in Northern Norway and to distribute specimens of it.f On the label of the specimen distributed he remaiks, "cum speciminibus e Lapponica Rossica nomine L. Bcerii, Post. & Rupr. acceptis melius quara cum specimini- * Obs. Phyc, Tart. III. p. 11. t Aig. Scand. Exss., No. 213, under tlie name of Laminaria lorea. OP ARTS AND SCIENCES. 181 bus e Terra Nova convenit nostra plaiita." The first part of the sentence is very vahiable, as it establishes the identity of the L. Bcerii of Postels and Ruprecht. As to the second part, however it may have been with Areschoug's American specimens, the plant distrib- uted agrees so completely with New England specimens that there can be no doubt that the Norwegian and New P]ngland foi ms belong to the same species. Farlow* gives a very careful account oi; the New England plant, and Kjellman t adds greatly to our knowledge of the Arctic forms of the species. An interesting paper closely connected with this subject, and one to which I am indebted for many valuable suggestions, is one by Mr. P. A. Barber, entitled, " On the Structure and Development of the Bulb in Laminaria bulbosa.'^ t This paper has made possible a fairly satisfactory comparison between the earlier stages of Laminaria bul- bosa, Lamour., and of L. dermatodea, De la Pyl., and helped to make the discussion of the relationship existing between the two species much more satisfactory. Periods. — For convenience of description, the life-history of Sac- corhiza dermatodea may be divided into four periods, each of which is characterized by some important changes in development. First Period. — This period naturally deals with the development from the spore. The material is wanting for any satisfactory treat- ment, and as the plants are at first of microscopic size, these earlier stages will be discussed under the portion devoted to the histology. Second Period. — 1. Earliest Stages found. — The smallest speci- mens available are two or three which measure 5 to 6 mm. in length. They were found growing in the same clusters with larger ones of the same species, and were detected only by very careful search. Smaller ones were sought for through each bunch collected, but none were found. A hand lens is necessary in examining these specimens. The point of attachment has been lost in every case. The stipe is dis- tinct, and is about 1 mm. long and 0,14 mm. wide at the middle. It seems to be nearly cylindrical in shape, and expands gradually into the blade at the upper portion. The blade, which has thus a wedge- shaped base, is generally ovate or obovate, the broadest portion being in most cases about two thirds of the way from the base. The tip of the blade either tapers to a more or less acute point, or is blunt and truncated from having lost the terminal portion. Below, the stipe * N. E. Alg., p. 95. t Arct. Alg., p. 223. t Annals of Botany, Vol. III. No. IX. p. 41, February, 1889. 182 PROCEEDINGS OF THE AMERICAN ACADEMY appears to be prolonged into the blade one third to one half the way up, as a sort of broad midrib. The midrib-like portion is rather wide at the base, and tapers gradually to a point. The edges are not straight lines, but are somewhat notched or toothed. As seen with the lens, the apex of this portion is not acute, but is somewhat blunt. (Cf. Figs. 1 and 2.) The midrib is very striking in fresh specimens as it is of a deeper color than the rest of the blade. When examined with a low power (150 diameters), it is seen to be thicker and of more complex structure than the rest of the blade, which appears on focusing to be a simple membrane composed of a single layer of cells. The further details of this structure properly come under the sections devoted to the histology. On some of these young specimens are to be found small clusters of hairs arising from the surface not only of the more complex portion, but also in some cases from the membranaceous outer part of the blade. These are the cryptostomata or " Fasergriibchen." By the presence of these organs the young plants of Saccorhiza dermatodea may be dis- tinguished from the young plants of any of the other species of Lam- inariecB of the New England coast, except from those of species of Alaria. From these they may be distinguishetl, after a little experi- ence, by the outline and the color. Saccorhiza dermatodea in these early stages is usually elliptical to obovate, while the species of Alaria uniformly have a narrowly linear frond. The color of the young Saccorhiza is light brown. They become somewhat greenish in dry- ing at times, but generally take on a more yellow tint. The young AlaricE are of a much lighter brown, and become decidedly greenish on drying. The midrib-like portion in Alaria, too, is more linear in shape, and narrower, more like a real midrib. As soon as the Alaria attain any considerable size the true midrib makes its appearance, and distinguishes them at once from the young plants of any of the other species. 2. Later Stages. — As the specimens become larger a number of changes may be noticed, which are well shown in a specimen about o cm. high. This specimen possesses a distinct organ for attachment, consisting of the slightly dilated basal portion of the stipe and a sort of small cushion by which this is attached to the substratum. The cushion has a spongy appearance and a dirty brown color, and differs decidedly from the stipe both in color and consistency. The stipe itself is about 3 mm. high and about 0.5 mm. in diameter. It is cylindrical in shape, and expands gradually into the lanceolate or OF ARTS AND SCIENCES. 183 oblanceolate blade, which is about 6 mm. wide. The terminal portion of the blade has disappeared through erosion, but at the tip on either side are seen two narrow strips (cf. Fig. 3, E) of the membrane of the original blade still jiresent. The rest of tlie blade is more com- plex in its structure. The cryptostomata are much more numerous and much more conspicuous. They are much larger towards tlie tip of the blade, and become smaller and smaller as they approach the base, until at the place where the blade passes over into the stipe they disappear altogether. Hence it is reasonable to assume that this transition place, as we may call it, the " Uebergangstelle " of German writers, is a region of active growth. Third Period. — 1. Development of the Rhizogen. — Very soon after the primitive or simple membranaceous blade has thus been very nearly replaced by a blade of more complex structure, and the stipe has elongated to a somewhat greater extent, we come to the beginning of a set of changes in the lower portion of the stipe, which are of great importance in establishing the relationships between this species and others of the same group. The holdfast or organ of attachment iu this stage differs from that of the preceding merely in its somewhat greater size. In some of the specimens, however, the holdfast is a vertically elongated body of narrowly conical shape. This variation seems to be the result of peculiar conditions in the substratum to which the plant is attached. The stipe iu the specimen chosen as a good illustration of this stage (cf. Fig. 4) is about 8 mm. long and 0.5 mm. in diameter. It is for the greater part of its length cylindrical, but at about 2 mm. from the holdfast it appears somewhat swollen (cf. Fig. 4, B). This swelling, which is regularly ellipsoidal in general outline, is in the specimen chosen about 2 mm. in height and 1 mm. in diam- eter. Even before this swelling becomes evident, that portion of the stipe where it is to appear seems denser, and is therefore of a slightly different color from the neighboring portions, although at the time it is hard to detect that the surface is at all curved outward. The swell- ing or node is very readily seen, both in fresh and in alcoholic specimens, and is very nearly as distinct in specimens pressed for preservation in the herbarium. This swelling is described by De la Pylaie in the " Flore de Terre Neuve " (pp. 49 and 50), and was observed by him in plants thrown ashore about the end of October. His description of a young plant is so excellent that I reproduce it here. " Tout le vegetal n'avait alors que 2 a 3 centimetres de hauteur, et sa fronde, d'une delicatesse infinie, n'avait en largeur que 3 millimetres au plus. Cette fronde ua 184 PROCEEDINGS OF THE AMERICAN ACADEMY peu rcservee en pointe a son sommet puis eiisuite lineaire sur la plus graude partie de sa longeur, s'amiucit successivement jusqu'a se terminer par uu petit stipe presque capillaire, oil Ton distingue ' neanmoins, au dessus de son point radical, I'espece de petit noeud (Rhizogene), que j'ai vu plus tard s'accroitre et donner naissance aux priucipales raciues qui fixent cette Algue aux corps solides." It is very evident from this description that De la Pylaie recognized this swelling just above the {jrimitive discoid attachment as well as its function, and that he gave to it the name of " Rhizogene." In regard to this organ and the term applied to it, he explains in a foot-note as follows : " Organe exclusif a cette hydrophyte et au L. bulbosa ; il n'existe que chez ces especes dans tout le regne vegetal ! n'ayant pas . encore ete dcsigne par un nom particulier, je propose celui-ci dont je me servirai pour eviter periphrases." This name, Anglicized to rhizo- gen, will be adopted in this paper to designate this organ. The blade in specimens in this stage varies from 3.5 cm. to 6.5 cm., and is per- haps at times even longer. It is narrowly cuneate at the base, and still bears some traces of the primitive blade at the apex (of. Fig. 4, E). 2. Development of the First Hapteres. — For a number of stages now the changes which take place in the rhizogen are of particular interest. It increases, chiefly in diameter, until it projects out around the stipe in the form of a circular ridge, as shown in Figure 5 at B. This specimen is 7.3 cm. long. The holdfast is a disk-shaped body about 2 mm. in diameter. It will be best hereafter to distinguish this first organ for attachment to the substratum as the primitive disk or primitive holdfast. The rhizogen is situated about 2 mm. above this, and forms a conspicuous projecting circular ridge, about 3 mm. in diameter. Its upper surface is convex and rounded, while the lower surface is concave to a slight extent. Its projecting edge is coarsely crenate into five small lobes. The stipe in this specimen is 7 mm, long and 1.5 mm. in diameter. The base of the lamina is narrowly cuneate, as in the precedhig period, but the blade itself is more lance- olate, occurring very linearly lanceolate in some specimens. A trace of the primitive blade (cf. Fig. 5, E) still lingers in some specimens. The cryptostomata are very abundant in this stage. As the plants increase in size the rhizogen continues to grow. It increases in diameter proportionally with the stipe. The lobes, scarcely noticeable at the beginning, grow out into finger-like processes (cf. Fig. 6, F), which extend out at first nearly horizontally, and then more and more obliquely downwards. Figure 6 represents a specimen OF AHTS AND SCIKNCES. 185 in this stajre ; its leuszth is 13 cm. The rhizo)A' If now 8 be made to approach zero as a limit, and m to increase in such a way that m • 8 is always equal to a constant, /i, the circumfer- ence just mentioned continues to be a stream line and the flow function due to the combination of a doublet of strength /x at X with axis coincident with the radius drawn through Z, and the image of this doublet in the circumference is Limit if/p= fx) ^ y h^)' (1) + y It is evident from this result (see section 2) that the image of a doublet of strength /x so situated at a point L — wliich is at a distance a from the centre of a circumference drawn with radius r on a tliin plane indefinitely extended plate — that its axis coincides with the radius OF ARTS AND SCIENCES. 221 drawn through L, is a doublet of strength* /a— and axis making an angle of 180° with that of the first, at the inverse point of L with respect to the circumference. It is to be noticed that the flow function given by (i) is the real factor of the imaginary part of the function t^ = — /x z — a a' 2 — _ a 4. By differentiating (1) partially with respect to y and — cc, respectively, we get the velocity components at the point (x, y) cor- responding to the case which we have been considering. They are u = D^\p = ix -Ji^-^y-f r- ("-!^T r \{x-af-\-y''Y a ' ih^f +f (2) v = — D^^^ = 2ixy. X — a r^ {ax — 7^) [{x-ay + y'Y "1(^-9" y- (3) If we make a approach zero in order to obtain the flow in a thin circular plate due to a doublet at the centre, tp as given by (1) grows larger without limit, but u and v approach the definite limits Mn ( a;2 — ?/2 1 ) /-]- r- ) \ [_x' + Vq = r]- 2 ixxy (4) (5) and these expressions solve the problem. This case may be treated in another way, however. In Figure 4 let OL =0L' = 8 and 03f. OL = OL' .OM' = OA' =■. r^; then, if there are sources of strength m a,t L and 31 and equal sinks at L' and jW, one of the lines of flow due to this combination will consist in part of the circumference of radius r drawn about 0 as centre. * This does not as^ree with the statement marie in the first edition of Basset's Treatise on Hydrodynamics, p. 56, where tiiere seems to be a typo- graphical error. 222 PROCEEDINGS OF THE AMERICAN ACADEMY Fig. 4. The value at the point (x, y) of the flow function is x^/ z= m,\ tan~ ^ — ^— ^ + tan~ ^ — ^ — - — tan~^ — ^ — ^ — tan~^ ^ X — 8 = m\ tan-^ _— — J-— + tan"! a: + 8 7M * 8 8M^' + y') If, now, 8 be made to approach zero as a limit, and m to increase in such a way that 2 m 8 is equal to the constant ^, ^o^Limit^^-^(-^+/;-/^); (6) an expression which is equal to zero at every point of the circumfer- ence, x^ -\- ■if- ^ r^. The velocity components Mq, Vq, obtained by differentiating (6), are identical with those given by equations (4) and (5). Fig. 5. 5. In Figure SJet OA = OA^ ^a, 0B= OB' = b, and OA OB = OA' OB' = OC'^ = r\ and let there be at A and B sources of strength m, and at A' and B' sinks of equal strength m ; then one of the lines of flow due to this combination of sources and sinks in an OP ARTS AND SCIENCES. 223 indefinitely extended plate will consist in part of the circumference of which 00 is a radius. This shall be called the circumference 0. The value, at P, the co-ordinates of which are x and y, of the flow function is ^p= —m\ta.n~^^ + tan ^-l -^ — tan~^ ^ ( a; — a cos ^ x — Oisosd x — a ^-m ^tan-^ ^^ ~ ^^ ^^ - a sin 6) —y (x ~ a cos 0) I {x — a) [x — a cos t>) + y {y — a sin 0) — tan -1 y > x — b) j^^- 1 {x - h) (y -bsine)-y(x-b cos ^)) ■ sin ej\' (x — b) {x — b cos 0) -\- y (y — b sin If now we let 6 approach zero as a limit and m increase in such a way that the product of m and the straight line AA' shall always be equal to the constant fi, we have .2 ij/Q = Limit iff =: -{- fi- X — a + X — — a 0 = 0 ^{x-ar + f ' a^ L-'lX + f the real part of the function ,(7) w 1 z — a a' At every point of 0, \f/o has the value 2 — — a t. a The velocity components at P corresponding to i/^o are M = — 2/xy X — a [_{x - af + y'Y "^ a r X a v = -\- fl- (x — ay — y^ [{X - af + ff + -, (^-^T-^1 (^-^T-' a' (^-9'-^T (8) (9) If a is made to approach zero as a limit, these expressions approach respectively the limits Wo = _ — 2 [xxy PTTP / a;2 - ^2 1 X (10) (11) 224 PROCEEDINGS OP THE AMERICAN ACADEMY which agree with the expressions (4) and (5) obtained by using different co-ordinate axes. We infer from (7) that the image of a doublet of strength jx so situated at a point A — which is at a distance a from the centre of a circumference drawn with radius r on a thin plane indefinitely ex- tended plate — that its axis is perpendicular to the radius vector o drawn through A, is a doublet, of strength fx — and axis parallel to that of the first doublet, at the inverse point of A with respect to the circumference. If we make a equal to r, (7), (8), and (9) give us the flow function and the velocity components inside a circular plate when there is a doublet at some point of the circumference with its axis coincident with the tangent to the plate at the given point. The forms of these expres- sions might have been inferred from the results given in section 2. 6. It is to be noticed that if in Figure 6 O'B' and OB are parallel lines, and 00', AA', and £B' perpendicular to them, and if there are f-0' Q-A^ B^ G-0 ^A B-# Fig. 6. sources of strength m at 0', A, and B, and sinks of equal strength m at 0, A', and B\ a circumference drawn around 0 as centre with radius ^/OA . OB will form part of a line of flow due to the combina- tion of the sink at 0 and the sources at A and B, but not one of the lines of flow due to the combination of three doublets obtained by making O'B' approach OB and increasing m at the same time so that m . 00' shall always be equal to the constant /x. 7. In Figure 7 let OA.OB= OA' . OB' =0C^= r\ and OA = a, and let the curve AA' make with OM the angle 8. If, then, there are sources of strength m at A' and B', and sinks of strength ;» at A and B, one of the lines of flow will consist in part of the circumference (C) drawn with radius r about 0 as centre. If if/p is the value at P of the flow function due to this combination, the limit appronchod by ij/p as A' is m ide to approach A along the curve A'A, and Ji' to approach ^ along the corresponding reciprocal curve B' B, will be the value at P of the flow function due to a doublet at A, the axis of which makes the angle 8 with the radius drawn through A of the circumference C, and to the image of the doublet in C. OP ARTS AND SCIENCES. 225 Fig (. -1 y—KA , _i y , * _i y—LB' , _, y — «i fan i if _ — tjin i _£ — -f-tan ^ , — tan — ^- 5^^ = m tan~ X -a-^^ X — a x-OB-BL x-OB = m •] tan ^ y.AK-KA {x-a) (x — ay + f — 1/. KA' — AK {x — a) _i y.BL-LB' (x-OB) + tan (x - OB)'^ ^f--y. LB' - BL{x- OB) -0B)\ If ^' be made to approach A as a limit, we have Limit AA ; Limit — sin 6 — Limit OA" AA BB' Limit — cos 8 — Limit AA' BB' and, if m be made to change so that m . AA' shall always be equal to the constant fi, Limit (m . BB') will be equal to the constant, — . fi. a" Limit i^p = i/'o = )(^ Limit AA' = 0 AA'=0 tan _i y.AK-KA (x-a) (x—a)'^+y^—y . KA—AK(x—a) + —„ Limit BB' = 0 a' ( tan-^ < (x-' AA' y.BL-LB' (x- I (x-OB)'+y'-y BB' B' (x-OB) \ TB'-BLix-OB) > VOL. XXVI. (y. s. XVIII.) 15 226 PROCEEDINGS OF THE AMERICAN ACADEMY AK KA' , . y ^ I ^ d I 1/^0 = /^. Limit J ' JJi A A' AA' = 0 {x — a)2 + r — y • ^-^' — -4^ (a; — a) BL LB' . a' J3B> = 0 {x -OBy + f-y.LB'- BL {x -OB) \ X . ., y.cos8+(x — j sinS) J y . cos 8 — (x — a) sin 8 r^ \ a I ' / 1 )\ It follows from (1 2) that the image of a doublet of strength /a so situ- ated at a point A — which is at a distance a from the centre, 0, of a circumference drawn with radius r on a thin, plane, indefinitely ex- tended plate — that its axis makes the angle 8 with the radius drawn through ^, is a doublet of strength - — and axis making an angle of 180° — 8 with the line OA, at the inverse point of A with respect to the circumference. 8. It was long ago noticed * that the functions log«, -' 112 6 ^5' ~3 ' "i' • each of which is the derivative with respect to z of the one wliicli precedes it, yield a series of pairs of conjugate functions which repie- sent in order the velocity potential functions and the flow functions due to a source at the origin, to a doublet at the origin, to a quadru- plet t at the origin, to an octuplet at the origin, and so on. I will use the word motor to denote in general a source, a sink, a doublet, a quadruplet, or any other combination of sources or sinks at a single point. The strengths of two motors of the same kind shall be in the ratio of /> to q if, when they are similarly placed at the same point successively, they give rise to velocity potential func- tions and flow functions which have values in the ratio oi p to q at * See, for instance, Klein's Lectures on tlie Potential, or his paper, " Ueber lliemann's Tlieorie der Alpebraisclien P^inctionen unrl ilirer Integrale." t A quadruplet is formed of two equal and opposite doublets in the same manner that a doublet is formed out of a source and an equal sink. An octu- plet is formed in a similar way of two equal and opposite quadruplets, and so on. OF AKTfc AND SCIENCES. 227 every point. The unit motor of any kind and the direction of its axis, if it has any, may be chosen at pleasure. Let there be in a plane any distribution, A, of n motors, either all of the same kind or of different kinds, of strengths respectively equal to till, ni^, Wg, m„. Let there be also a system, B, of n motors, each respectively equal but opposite to a corresponding motor of A, and so situated in the plane that every motor of A could be superposed upon its equivalent in B by moving A parallel to itself through a distance 8 in a direc- tion making an angle a with the axis of x. Let u — f(x, y) und ^" = x (^' V) ^^ ^^e values at the point (x, y) of the velocity components due to the system A^ and let (^ (a-, y) and i/f {x, y) be the corresponding values of the velocity potential function and the flow function. It is evident that the velocity components due to B have values at (ic, y) equal but opposite to those at the point (x — 8 cos a, y — 8 sin a) of the corresponding velocity components due to A. We may, there- fore, take for the values at any point (x, y) of the velocity potential and flow functions due to A and B existing together, the expressions (^ (x, «/) — <^ (x — S cos a, ^ — 8 sin a) ; (13) \p{x, y) — ij/ {x — 8 cos a, y — 8 sin a). (14) If now Ji be made to approach A, by decreasing 8 and keeping a constant, and if the strength of each of ^'s motors be made to grow so as to keep the product of itself and 8 constant, the expressions just given approach as limits the velocity potential function and the flow function which A would yield if every one of its motors were doubled up with an equal but opposite motor approaching it from a direction which makes an angle a with the axis of x. If mi 8 = yu-i, mgS = |Lt2? ^38 = )U,3, etc., where the ya's are con- stant, the limits of the expressions (13) and (14) are the values obtained by changing every m into its corresponding /x in Limit {^^^±±^^\ and Limit (^^^ + ^y^' 8 = 0^ ^ / 8=^0^ S that is, in cos a . D^. ^ -\- m\ a . Dy (ft, (15) and cos a . Z)^. xp -\- sma . Dy if/. (1 6) If IV =zf(z) := (f) (x. y) + i . if/ (x, y), the function of z which corre- sponds to the new velocity potential function and flow function may be found by changing every m into its corresponding fj. in — (cos a -{- i . sin a) . B^ ic. (17) 228 PROCEEDINGS OF THE AMERICAN ACADEMY 9. The equation "- — = c represents a family of closed curves each of which is made up of 2 n equal mutually distinct loops sym- metrically situated about the origin ; each curve passes n times through the origin and each loop is tangent there to two straight lines which include an angle of _ . The equation — = c represents the same n r" IT family of curves turned around the orisfin through an angle — . Tlie motor which gives rise to the flow function ~ may be r denoted by the symbol shown in the upper part of Figure 8, in which the black portions show the directions in which fluid flows out from the point at which the motor is situated, and the open portions the directions from which fluid flows towards this point. The motor , • , , , _ , . A sin n ^ , , which corresponds to the now lunction — may be represented similarly by a circle drawn about the origin, and properly divided into n shaded and n unshaded sectors. Let the motor A^ which corresponds to the flow function \pJ^ = , r" be doubled up with an equal opposite motor which approaches it from a direction making an angle a with the axis of x. The flow function i{/^, due to the resulting motor £, is given, apart from a constant factor, by the equation ips = Dx\pj^. cos a + Z>j, i/r^ . sin a = A xlf^ . cos {6 -a)- ^^ . sin (6 - a) n . sin \{n + 1) ^ — «] (18) Referred to a new initial line drawn in a direction making an angle T with the old, this is w . pin (n + 1 ) ^ ^B = ^UT ^ ; (19) and it is evident that the orientation of i?'s axis, but not ^'s charac- ter, depends upon a. For instance, the flow function due to a unit doublet at the origin with axis coincident with the axis of a: is a:' + / OP ARTS AND SCIENCES.' 229 If this motor be doubled up with its negative approachins; from tlie positive purt of tlie axis of x, the resultaut quadruplet (see Fiy. 8) corresponds to the flow function (x- + y^Y e « Fig. 8. Fig. 9. If, on the other hand, it be doubled up with an equal opposite doublet (see Fig. 9) approaching it from the positive part of the axis of y, the resultant quadruplet corresponds to the flow function •2\2 One of these quadruplets is evidently equivalent to the other turned through an angle of 45°. 10. Besides the simple quadruplets obtained by combining two equal and opposite doublets just as a doublet is formed from a source and a sink, other combinations of two doublets sometimes appear when one attempts to find the image of a simple motor in the cir cumference of a circle in its plane. In one common case, a fixed doublet D^ of strength fx. is ap^ preached by another doublet D^, the axis of which remains always parallel but opposite in direction to that of D^. The path of D.^ is a straight line, but its strength is equal to fxf{S), where B is the dis- tance between the two doublets at any time, and f (S) is a finite, continuous, and single-valued function such that ^(0) =: 1. Th^ product of fx and 8 is kept always equal to a constant, A. The flow function due to a doublet of strength fx at the origin with axis coincident with the axis of x is -J~^— , and the flow x^-\-y^^ function due to a reversed doublet of strength (xf (8) at the point {x — 8 . cos a, y — 8 . sin a) — fx . (y — 8 sin a) ../'(8) IS (a; — o . cos ay -\- {y — 8 . sin a)^ The flow function due to the two doublets existing together is A ( y _ (;/ — 8 . sin a) /*(8) ) 8 Ix^ -\- y'^ (x — 8 . cos a)'^ + (y — & . sin a)' \ 230 PROCEEDINGS OF THE AMERICAN ACADEMY and the limit of this as 8 approaches zero is X ^ (a:-2 - y-^) sin g - 2 xy cos a — y (x- + f)/' (0)^ . ,^^^. {x' + fr ' ^ and this is equivalent to a simple quadruplet superposed upon a doublet of strength — A ./' (0) at the origin. In general, let fx . vf/ (x, y) be the flow function due to a fixed motor of strength \x.^ and of any kind ; and let this motor be approached (keeping /x 8 constantly equal to A) by an opposite motor of strength \x . /'(8) from a direction making an angle a with the axis of x. The value at the point (x, y) of the flow function due to this second motor i«* the same as the value at the point (.r — o . cos a, 5/ — S . sin a) of the flow function due to the first motor, so that the flow function due to the two motors existing together is K [lA (^' y) — /(S) • "A (^ — ^ cos a.,y — Z sin a)], o and the limit approached by this as 8 approaches zero is \\P^^\, . cos a + Z)^ ./. . sin a — i/. {x, y) ./(O)]. (21) 11. Let there be two equal opposite motors of the same kind at the points A and J5 in a plane equally distant from an origin, (9, and let the axis of the motor at A make with the straight line OA the same angle that the axis of the motor at B would make with OB if its flow function were the negative of what it really is. If now OB l)e rotated about 0 so as to approach OA as a limit, and if the product of the strength of one of the motors by its distance from the other be kept equal to a constant, A, we get as a limit a kind of motor which sometimes appears in practical problems. Let II . R {r, 6) and /* . (^ (r, 0) be the values at the point P, the co-ordinates of which are r and ^, of the velocity components due to the motor at A^ taken respectively parallel and perpendicular to the radius vector, OP. If the angle A OB (see Fig. 10) be a, the values of the velocity components at P due to the motor at Ji are equal but opposite in sign to values at the point P', the co-ordinates of which are r and 0 — a, of the velocity components due to the motor at A. Hence the motors at A and B together cause at P the velocity components (x.R(r,6) -i^.R (r, e - a), ,x . 0 (r, ^) - M . 0 (•'•, 6 — a). OF ARTS AND SCIENCES. 231 Fig. 10. The limits of these expressions as a is made to approach zero, while fx . a . OA = A, are " and A® OA OA so that the flow function due to the newly found motor is obtained by changing /x to A in the product of the reciprocal of OA and the derivative with respect to 6 of the flow function due to the original motor at A alone ; that is, in where OA fx li = '- and fi ® =: — JJr if/. (22) A single doublet on the axis of x, at a distance a from the origin, with its axis perpendicular to the axis of x, yields, when combined with another similar motor in the way described in this section, the flow function (23) ^^Xy(x' + f-a') a [{X - ay + ff This is equal to zero on the axis of x and on the circumference of the circle drawn with the origin as centre so as to pass through the motor. It gives, therefore, a case of flow in a semicircular disk. The flow function just found is the real factor of the imaginary part of the function A« __^.(1, « ) w = — (24) a(z — oif a i z — a ' (z — af \ The motor which corresponds to this flow function may be looked upon, therefore, as formed by superposing a doublet upon a quad- ruplet. The image of such a motor (3f) as this in a circumference drawn in its own plane with 0 as centre is a motor of the same kind as M, 232 PROCEEDINGS OF THE AMERICAN ACADEMY ^2 but of strength — times as great as 3/'s strength, situated at the ar inverse point with respect to the circumference of the point where JJ/lies. The flow function in this case is easily found, by a method analogous to that used in Section b, to be ,2 X ^ f x^ + y'^ — a^ 7^ a" x^ + y^ - a' a \[{x- a') + y^Y <^'' \L_t\2., f^ (25) The combination in the same manner of two pairs of motors of the kind just mentioned yields still another case of flow inside a circular disk due to a certain motor at a point Q, the co-ordinates of which are a and 0, and another motor at the inverse point of Q with reference to the circumference. The flow function in this case is a- 7? + y^ — c? [(X - af + /]^ A a;2 _j. ^2 _ {x (x — a)^ + y^ (x — 4 a)} + a' and this process might be carried on indefinitely. 12. The image of a simple quadruplet in the circumference of a circle drawn in its own plane is not another simple quadruplet, but a more complex motor. On a straight line which passes through the centre of a circum- ference of radius r drawn in a plane, and which is taken for axis of x, let there be two equal and opposite doublets of strength fi with axis coincident with the line, at points dis,tant respectively a and o + Aa from the centre of the circumference. Let there be also on this line the two images of these doublets with respect to the circumference. The value at the point (x, y) of the flow function due to these four doublets is ^y\^x-af+y^ {x — a — Acf)'^ -I- y + ^''^^"'Ai^-v^l+A '^[(^-:7T+^^ OP ARTS AND SCIENCES. 233 and if Aa be made to approach zero, and fj. to increase so that fi . Aa always has the constant value A, this function approaches as its limit If the axis of a simple quadruplet be a diameter drawn through the centre of the shaded portions of the symbol which represents the motor, the expression just found gives, with proper algebraic sign, the flow function due to a simple quadruplet in a circular disk with axis parallel or perpendicular to the radius drawn through the point at which the motor is situated. The flow function, which vanishes at every point on the circum- ference, is the real factor of the imaginary part of the function w = — X -{ + — . ('-^) ,.4 2 r^ {z-df a* /^~_^V «' _^'r (28) \ a J a The image of the simple quadruplet in question is made up, therefore, of a simple quadruplet and a doublet existing together at the inverse point, with respect to the circumference, of the point where the original quadruplet is situated. 13. If the axes of the doublets mentioned in the last section had been perpendicular to the axis of x instead of coincident with it, the flow function due to the four doublets would have been 1, i X — a X — a — Aa (x — ay + f (x—a — Aay + y' 2 ^2 X — — o r^ a _ '' ">-F) + y'' X — 7-2 a + Aa Ir- r" y ^ ,, The limit of this, as Aa aproaches zero and n Aa is kept equal to the constant X, is 234 PROCEEDINGS OF THE AMERICAN ACADEMY ^^ ( f — (x — ay r* ([(x-af + ff «4- / _^ h^J^^ This has the value — — at all points of the circumference, and gives a^ us the flow function inside a circular disk in which there is a simple (jiiadruplet with axis making an angle of 45° with the radius drawn tlirough it. J t is to be noticed that (29) is the real part of the function which appears in equation (28). 14. The flow function due to a simple quadruplet at the centre of a circular disk of radius r may be found by putting a equal to zero in (27). It is ^ = -2Axy j, ,! ,,-\\^ 1 2^ and the corresponding w is — + - . In general, consider the function 1 , s" r2« + p2" (cos 2 w ^ + I . sin 2 n ^) _n „a n ^m ^2n _ pu (^gQg nO -\- i . sin n 0) r^" . cos nO -\- p-"' (cos 2 n6 . cos ?i ^ + sin 2 ?2 ^ . sin n 9 + r2» . p" i {p^" (sin 2n 6 . cos w ^ — cos 2 w ^ . sin w 6) — r^" sin w 6] ^ . cos nO -\- —^—z smn 6. (61) OF ARTS AND SCIENCES. 235 The function is constant along the circumference drawn about the origin with radius r, and is evidently the flow function due to a simple 2" + ^ -plot at the centre of a circular disk. 15. The rational algebraic function 0, , , where the numerator ■^ (z) and denominator are algebraic polynomials involving only integral powers of 2, can be put by simple division into the form of a rational algebraic polynomial in z plus the proper fraction, -LA^ , where the F(z) numerator is of degree at least one lower than the denominator. This proper fraction can be represented in the usual way as the sum of a series of fractions the numeratois of which are in general com- plex constants and the denominators of the form [z — {a -\- b i)]". The real part of -^ >-^ is therefore the velocity potential function of a collection of motors such that each has for its own velocity po- tential function the real part of a function of the form a -{- (3 t ^ fi (cos 8 + ^ sin 8) .oo\ (z — {a+b i)y (z — (a + b i)y Fig. 11. Let us take as the axis of a simple multiplet a line which, drawn as a diameter through the symbol which represents the motor, bisects the black portion nearest the axis of x. If this line goes through two black portions, the sense in which the direction of the axis is taken is of no consequence. If it goes through one black sector and one unshaded sector of the symbol, the direction shall be from the unshaded part to the black part. The simple motor, for instance, which has for its flow function the real factor of the imaginary part of — , has its axis coincident with the axis of x. z" 236 PROCEEDINGS OF THE AMERICAN ACADEMY The values at the point (x, y) of the velocity compoueiits due to any motor at the point (a, h) must be equal respectively to the two velocity components at the point {x — a, y — b) due to the same motor at the origin with axis parallel to its old direction. If ^ {x, y), ip (x, y) ,a.ve the velocity potential and flow functions due to the motor at the origin, cb (x — a, y — b), ip {x — a, y — Z>), yield velocity components for the case of the same motor at (a, b) which satisfy the condition stated above. If f{z) = (p (x, y) + i if/ (x, y), however, f(z— a- bi) = cfi(x — a, y — b) + i . xfj {x — a, y — b), and, as a particular case, — — and ~ correspond to two ^ [z— (a + b i}]" z" equal and similarly placed motors, one at the point (a, b), the other at the origin. Let us now compare the motors the flow functions of which are the real factors of the imaginary parts of i and 'i+li z" z" respectively ; that is, of ces K d -, fi CIS 8 . ces k 6 where z = p (cos $ + i . sinO), a -\- ^i = p (cos 8 -\- i . sin 8), and where (cos 8 -\- i sin 8) and (cos 6 — i . sin 6) are written cis 8 and ces 0 respectively. The two flow functions are ft . sm sin K ^ J and '(-!) p" p" and the values at the point (r, 6) of the velocity components respect- ively parallel and perpendicular to the radius vector drawn from the origm are K . cos K 0 J K . sin K ^ — — and -j-^— pK + l pK+l in the case of the first motor, and OF ARTS AND SCIENCES. 237 fi K . COS kIO — - j ^ K- . sin K (6 — - 1 - ^TTl - and ^;^+i in the case of the second motor. The second motor gives at everv point velocity components which the first motor gives at a point equally distant from the origin, but differing in vectorial angle from the first point by - . The second motor is then equivalent to the first turned through the angle - . If, then, the simple motor which corresponds to the function ~ were transferred parallel to itself to the point (a, h) and then rotated counter-clockwise through the angle -, it would correspond to the function ^ -, , .^-, . It is to be noticed that a rotation of the motor corresponding to — through the angle — - would by reason of symmetry give the same motor, and multii^lying — by i would turn the symbol representing the motor through half the angle which corresponds to a black sector.* The rational algebraic proper f («) fraction -p.~. corresponds then, in general, to a distribution of vari- . . f(z) ously oriented simple multiplets, and the function A z + -rr ^ \ > which frequently appears in two dimensional problems in magnetism, to a distribution of such multiplets in a uniform field. t 16. Ihe real parts of the functions , — , are the ve- locity potential functions which correspond to two simple multiplets of the Kth order, L and J/, of strengths respectively equal to X and /x. Both L and M are situated at the origin. X's axis coincides with the axis of X, but Jf s axis makes with the axis of x the angle a. If we superpose L upon M, we get _ — {X -\- fi . cos K a -\- i . (i . sin *c a) = -'Li^^, (34) * This explains the identity of equations (28) and (30). t See, for instance. Maxwell's Treatise on Electricity and Magnetism, Vol. II. Figs. XV. and XVI. FHOCEEDINGS OF THE AMERICAN ACADEMY where cr^ = A^ + fji' -\- 2 \ fjL COS K a, (35) . _i ( u sin K a ) /oo\ T = sm N — ^ >■ . {6b) '- V -^^ + M^ + 2 \fi cos Ka^ This is a motor of the same kind as L and 31. Its strength is a, and its axis makes with the axis of x the angle - . In the case of doublets, K that is, when k = I, this result may be put into a simple form. If two doublets L and M exist together at a point 0, and if the direc- tions of the two straight lines OA, OB, show the directions of the axes of L and M respectively, and the lengths of OA and OB the strengths of L and 31 on some convenient scale, then the direction of the axis of the result of L and M will be given by the directions and the strengths of the resultant bv the leno-th of the diagonal of the parallelogram of which OA and OB are adjacent sides. Doublets then can be compounded and resolved by compounding and resolving their axes like forces or velocities. 17. Let there be any motor J/ at a distance a from the centre of a circumference of radius r drawn in a plane, and let the radius drawn through 31 be taken as axis of x. Let n . x {x, y-, a) be the flow function due to M, and its image in the circumference, existing together. If another motor B, of the same kind and strength as A but of opposite sign, exist at a point on the axis of x at a distance a + Aa from the centre, the flow function due to B and its image together is - /* • X (^» y' « + -^ «)• The flow function due to A, B, and their two images existing together is, therefore, — /^t . A„ ^ (x, y, a). If now Aa be made to approach zero and ^ to increase so that H . Aa is equal to the constant X, we get as the flow functions due to the resulting new motor at A and its image in the circumference .// = - X . z>„x (^, y^ «)• (3") F (2, n), of which i// is the real factor of the imaginary part, is con- nected with/(2, a), of which ^ is the real factor of the imaginary part by the equation F{z,a)=-\ D„f{z,a). (38) OF ARTS AND SCIENCES. 239 If, for insUiuce, we apply (38) to ■( z — a a- r- w = ^^ II \ which yieltls (5), we get 1 r^ r^ — 2 ^2 ±X-{{z-af a' (^_>_ a which, after reduction, gives (30). By meaus of (38) and other similar equations, a great number of cases of flow inside circular disks may be found. Jefferson Physical Laboratoev, Cambridge, Mass., August 1«, 1891. 240 PROCEEDINGS OF THE AMERICAN ACADEMY XV. CONTRIBUTIONS FROM THE CHEMICAL LABORATORY OF HARVARD COLLEGE. A REVISION OF THE ATOMIC WEIGHT OF COPPER. FOURTH PAPER. By Theodore William Richards. Presented June 10, 1891. Table of Contents. PAGS Introduction 240 Balance and Weiglits 242 I. Analysis of Cupric Sulphate . . 244 Materials 245 Description : Three Series . . 249 Cause of the Deficiency . . . 260 Atomic Weight of Sulphur . 268 Atomic Weight of Copper . . 270 II. III. IV. V. Sj'nthesis of Cupric Sulphate Analysis of Cupric Oxide . Tests for Impurities . . PAGE 273 27tj 278 Determination of Occluded Gases 281 Upon Typical Copper . . . 291 Summary of Results .... 293 Introduction. It will be remembered that recent investigation upon the atomic weight of copper has pointed toward the existence of a value for that constant very different from the one indicated by earlier determina tions. During the winter of 1886-87 a number of experiments * were made in this Laboratory upon the replacement of silver from solutions of argentic nitrate by means of metallic copper; and during the follow- ing winter these were supported by similar series t involving material from different sources. The consistent verdict of all these experi- ments indicated a considerably higher atomic weight than that which had previously been accepted ; but although the new method seemed to be in every way satisfactory, the presumption must nevertheless re- main in favor of the older value until the presentation of more evi- * These Proceedings, XXII. 342. t These Proceedings, XXIII. 177 ; Fres. Zeitschr., XXVIII. 392. OF AIITS AND SCIENCES. 241 dence against it. Accordingly, another method of determination was devised, and the two distinct but concordant series of results obtained by this method fully confirmed the higher value. The aspect of the case was now wholly changed, — it presented two series of coinci- dences, of which one must necessarily be due to chance alone ; and in such a case certainty can be reached only through a complete and intelligent reconciliation of the conflicting evidence. A careful examination of the possible sources of inaccuracy involved in all recent analyses failed to reveal the probability of a constant error greater than two or three units in the second decimal place. There- fore a complete examination of the older work seemed imperative, and the object of the present paper is to describe such a revision. A brief review of earlier determinations is given in the first paper of the present series, but for the sake of convenient reference a com- plete summary is repeated below. On account of the present uncer- tainty with regard to the ratio of oxygen to hydrogen, the standard to which the figures in the following table are referred is the arbitrary one, 0= 16; and this standard has been adopted throughout the present paper. Atomic Weight of Copper. 0= 16.000. Berzelius, 1828, from CuO (Pogg. Ann., VIII. 182.) Erdmaun and Marchand, 1844, from CuO (J. pr. Chem., XXXI. 391.) Dumas, 1859, from CuO and CugS (?) (Ann. de China, et de Phys., [3J, LV. 129, 198.) Millon and Comaille, 1863, from CuO (Compt. Rend., LVn. 147; Fres. Zeitschr., II. 474.) Hampe, 1874, from CuO " " from CUSO4 (Fres. Zeitschr., XIH. 352 ; XVI. 458 ) Baubigny, 1883, from CUSO4 (Compt. Rend., XCVII. 854, 906.) Shaw, 1886, through electrolytic equivalent " " " " " corrected (Phil. Mag., [5], XXIII. 138.) Richards, 1887, 1888, by relation to Silver (These Proceedings, XXII. 342; XXIII. 177.) " 1890, from Cupric Bromide (two series) (These Proceedings, XXV. 195) VOL. XXVI. (n. s. xviii.) 16 Cu = 63.29 63.47 63.50 63.12 63.34 63.32 63.47 63.48 63.51 63.60 63.61 242 PROCEEDINGS OF THE AMERICAN ACADEMY The low value obtained by Hampe has been until recently univer- sally accepted, because of the care employed in his analytical work, and the agreement between his results. Hence the present discussion will be confined almost entirely to the two substances which formed the bases of his operations. The following values for the atomic weights of various elements entering into the present investigation will be assumed throughout the paper. Oxygen = 16.000 Hydrogen = 1.008 Barium = 137.10 Silver =^ 107.930 Bromine — 79.955 Sodium == 23.053 Carbon = 12.002 Sul^jhur = 32.060 Balance and Weights. The balance used in the work to be described was made with especial care by Henry Troemner, of Philadelphia, and was procured particu- larly for the present research. The beam and pans are composed of aluminium, and all the remaining metal-work is plated with gold. By raising the centre of gravity, the pointer may be made to swing with great constancy as much as eight divisions of the scale for one tenth of a milligram ; but since this degree of sensibility is far beyond the range of accuracy obtainable even in atomic weight investigation, the balance was usually adjusted so that the pointer moved ten divisions for a milligram. A reasonable increase in load altered this relation but slightly. The balance was kept in a small closet lined with cur- tains, and was protected as much as possible from changes in tempera- ture. The air of the case was dried by means of potassic hydroxide and sulphuric acid, and large dishes of the former substance were kept in the closet outside. The standard weights have already been described.* They were carefully rubbed with chamois skin and again compared before the present work. The slight corrections, which differed scarcely at all from those previously found, were applied to each weighing. A double rider attachment upon the balance made the method of weighing by substitution accurate and easy ; and accordingly this method was invariably adopted, except in the first series of experi- ments upon cupric suli)hate. In general, the vessel to be weighed was carefully tared with an adjusted set of common gilded weights, and the * These Proceedings. XXV. 196. OP ARTS AND SCIENCES. 243 vibrations of the pointer were noted. After the removal of the vessel standard weights were added to the left-hand pan until the same con- dition of equilibrium was reached. The vessel was then once more substituted for these weights, and any slight change of centre point was of course manifest at once. In the rare cases when such slight change appeared, the weights and vessel were alternately substituted for each other until constancy was reached. In the case of hygro- scopic substances the already ascertained weights were first placed upon each scale pan, then the vessel was quickly removed from the desiccator and substituted for the standard weights, and, finally, the latter were again put in place. All desiccators were allowed to remain in the closet with the bal- ance three or four hours before the weighing, and objects were often weighed on successive days, to furnish assurance of constancy. In every case the barometer and thermometer were read, and any correc- tion due to change of relative buoyancy amounting to more than the fiftieth of a milligram was applied to the result. With large vessels an invariable slight loss of weight, amounting sometimes to as much as one twentieth of a milligram, was noticed after the object had re- mained for some time upon the balance pan. The loss may have been due to the replacement of the perfectly dry air from the desiccator by the less completely dried air of the balance case. Possible error from this source was avoided by the employment of uniform conditions suited to the particular substance in hand. All weighings were of course reduced to the vacuum standard by calculation from the specific gravities of the substances and weights involved.* Through the great kindness of Professor Mendenhall of Washington, two of the Laboratory's ten-gram weights (one of brass and one of platinum) have been compared as carefully as possible with the standards of the Washington Bureau of Weights and Meas- ures. Five comparisons of the Sartorius ten-gram weight with these gave the following results for its value in vacuum : — 1891. Grams. February 4. By comparison with the brass weight, 10.00025 March 4. " " " platinum weight, 10.00025 March 14. " " " " " 10.00026 June 12. « « " " " 10.00026 June 12. " « " " " 10.00024 Average, 10.00025 * These Proceedinp^s, XXV. 196. Specific gravity of brass = 8.3. 244 PROCEEDINGS OP THE AMERICAN ACADEMY The third aud fifth of these comparisons were made with the bal- ance in the condition of greatest sensibility, while the others were made exactly in the usual manner. Jt is not pretended, however, that all the weighings which follow have probable errors so small as these. The results are nevertheless an excellent gauge of efficiency of the balance, especially since the observations were made at widely varying temperatures and pressures. The correction involved, apply- ing in the same proportion to all weighings, has been omitted from the following figures; but any weight given below may of course readily be reduced to the Washington standard by multiplication with the factor 1.000025. I. The Analysis of Cupric Sulphate. The only published analyses of cupric sulphate which have had for their object the determination of the atomic weight of copper are those previously mentioned. Hampe has very clearly described two ex- tremely concordant electrolytic determinations of the copper contained in the so-called anhydrous salt. The greatest care had been taken to separate minute traces of metallic impurities from the preparation, which had been dried at 250° Centigrade ; but apparently it was not realized that for the purpose in hand the retention of a trace of water by the salt was a much more serious possible cause of error than any other. Baubigny's analyses are less fully described, so that it is less easy to judge of their value. A different method, the conversion of cupric sulphate into the oxide by heat, was adopted for these ex- periments. The result was very different from that obtained by Hampe, but was more nearly accurate, because complicated with a less serious combination of constant errors. The entire reconciliation of all these results, not only with each other, but also with the more recent analyses, involved the complete analysis and synthesis of cupric sulphate. A somewhat detailed ac- count of the various operations is given below. Many of the less important points are necessarily omitted on account of the already too great accumulation of material, and many relations between the figures can be worked out by those whom they may interest. It is to be hoped that the effort to spare the overburdened literature of to-day any unnecessary additions may not have interfered with the clearness of the description. The first three series of experiments upon the analysis of cupric sulphate constituted a study of the effect of pro- gressive refinement, and the first of the three perhaps hardly deserves a place in a paper upon atomic weights. Unless otherwise stated, the (lata are given in full. OF ARTS AND SCIENCES. 245 Materials used in the Analysis. Capric Sulphate. — The substance used in the first series of experi- ments was partly prepared from very pure copper remaining from the ciipric bromide research, and partly from other sources. It was per- fectly neutral and reasonably pure. For the second and third .series four hundred grams of the so-called '' chemically pure " cupric sulphate of commerce were dissolved in a very large amount of water, and the solution was twice successively treated with a very small amount of potassic hydroxide in dilute solution ; the mixture being occasion- ally shaken and allowed to stand each time for a week before decant- ing the clear supernatant liquid. One quarter of a gram of amnionic bromide was added to this liquid ; and after standing two weeks the solution was carefully filtered, evaporated to very small bulk in a por- celain dish, and again filtered from the deposited basic salt. The finely divided crystals obtained from this solution by agitation and cooling with ice were drained with a reverse filter,* redissolved in hot water, and repeatedly recrystallized in platinum vessels. The first three mother liquors were rejected, but the later ones were all combined. After three more recrystallizations the substance con- tained in these mother liquors was dissolved in cold water and allowed to crystallize by slow evaporation in pure air. The prejiaration thus made was used in the second series of analyses. The crystals obtained by eight successive crystallizations in platinum vessels were dissolved in cold water, and the salt was slowly recrystal- ized over sulphuric acid in a vacuum. The substance thus obtained was dissolved in water which had been distilled in a platinum retort, and after standing six days the perfectly clear solution was again brought to crystallization in a vacuum. These crystals were dried in a platinum dish over partially dehydrated cupric sulphate, and were used for the third series of experiments. The neutrality of each of these preparations was determined as nearly as possible by means of methyl orange, after the manner described in these Proceedings, Volume XXV., page 201. Sodic Carbonate. — As sodic carbonate formed one of the chief bases for the determination of the sulphuric acid, its manufacture in a pure state was a matter of great importance. From the " chemicallv pure" material of commerce one may easily procure by five recrystal- lizations a material which gives no coloration with ammonic sulphy- * These Proceedings, XII. 124. 246 PROCEEDINGS OF THE AMERICAN ACADEMY drate, nor, after neutralization, with potassic sulphocyanide.* Sodic sulphate and chloride are even more readily separated than traces of iron. Three separate preparations of sodic carbonate were used in the course of the work. For the first series of comparatively crude ex- periments the solution of ordinary " chemically pure" material, which almost invariably contains a perceptible amount of finely divided solid matter, was after filtration twice recrystallized in a platinum dish. It was subsequently found advantageous to prevent the clogging of the filter by two or three preliminary recrystallizations, in the course of which most of the solid matter finds its way into the mother liquor. The second sample of sodic carbonate was recrystallized six times after filtration. The vessels, rod, and reverse filter were all of plat- inum, and water was used which had been distilled in a platinum retort. Besides all these precautions, several additional ones were taken in the preparation of the purest sample of sodic carbonate designed for the third series. The water used had been distilled four times : first alone, next over potassic permanganate, then over acid potassic sulphate, and finally in a platinum still without the addition of foreign matter. Every precaution was taken to exclude dust and acid fumes, and the sodic carbonate was recrystallized ten times after filtration. The salt prepared in this way gives an absolutely odorless warm con- centrated solution. The second and third samples gave essentially identical results. Each of the three [)reparations was pure snow- white, whether fused or unfused ; each gave a perfectly clear and colorless solution with water ; and not even the first save the least test for hydrochloric or sulphuric acid. On the other hand, as Stas has already indicated, the most elaborate precautions are unable to free sodic carbonate wholly from traces of silica and a basic oxide, which is probably alumina. The former impurity was determined in the usual manner. The alumina and silica were determined together in new portions of the salt by exact neutralization witii hydrochloric or sulphuric acids, ignition of the evaporated product, and weighing of the insoluble residue. Phenol phthalein was used to determine the neutral point, and hence the * Stas appears once or twice to liave had more ilitticulty in accomplishing this result. At other times his experience seems to have coincided with tliat described above. Compare Aronstein's translation (1867), pp. 112, 270, with p. 275. OF ARTS AND SCIENCES. 247 insoluble bases present were necessarily precipitated. It is needless to state that the operations were conducted in platinum vessels. Ne- glecting two determinations which were vitiated by known impurity, the weight of total residue obtained varied from 0.15 to 0.41 milli- gram, while the weight of sodic carbonate taken varied from 1.02 to 3.06 grams. The average of twenty determinations showed about thirteen parts of impurity to exist in one hundred thousand parts of the salt. Silica constituted about forty per cent of this impurity. The third specimen did not ditit^r essentially from the second on these averages. Owing to the slight solubility of silica in sodic chloride solutions,* the observed amount of this impurity may be slightly too low, but for the present purpose the correction is unimportant. The filter papers used in this part of the investigation left upon ignition an ash of 0.00004 gram. Since the silica and alumina are probably present as sodic silicate and aluminate in the original carbonate, and may be considered as replacing carbon dioxide molecule for molecule, it is evident that the correction to be applied will not equal the whole weight of the residue. Upou this assumption the correction when phenol phthalein is used as an indicator amounts to about half the weight of the impurity, or about 0.007% of the weight of the sodic carbonate. Toward methyl orange aluminic hydroxide is alkaline ; hence in this case the errors due to the two impurities tend to counterbalance each other, and the correction may be omitted. The presence of a small amount of alumina thus explains the slight difference observed later between the results obtained with these two indicators. The crystallized sodic carbonate was dried over pure boiled sulphuric acid in a vacuum, and subsequently ignited to a dull red heat in a double crucible over a Berzelius spirit lamp. The latter apparatus was employed in order to avoid the possible introduction of impurity from illuminating gas. It was found that the salt could be ignited to perfectly constant weight at any temperature between dull redness and its fusing point. The light powder contracts and " sinters to- gether " at a low red heat, and then remains essentially unchanged in weight until it melts. The unfused salt was not observed to gain perceptibly in weight upon an hour's exposure to the air of the bal- ance case ; upon the other hand, the fused salt, which of course was never used as a basis of determination, was markedly hygroscopic. * Stas, Aronste'm's translation, p. 279. In tliis place the correction is applied to sodic chloride, but not to the nitrate formed from it. 248 PROCEEDINGS OF THE AMERICAN ACADEMY Acids. — The chemically pure hydrochloric and nitric acids were each distilled three times successively in a platinum still. Large quantities evaporated in open dishes left unweighable and scarcely visible residues. The insignificant amount of the residues was a proof of the purity of the air, as well as of the acids. Neither acid gave a test for iron, and the nitric acid contained no chlorine even at the beginning of the operations. Since the platinum still was very large, it was found more con- venient to distil sulphuric acid from a small hard glass retort heated by a ring burner, immediately before it was needed. After three such distillations, a preparation was obtained which left no weighable residue upon the evaporation of any quantity used in the work. All sulphuric acid used for drying was boiled with ammonic sulphate. In order to keep the air of the laboratory quite pure, during the greater part of the time neither volatile acids nor ammonia were allowed in the room devoted to the investigation, and all available precautions were taken against dust. Indicators. — As is well known, the salts of most of the heavier metals are acid toward phenol phthalein and neutral toward methyl orange. The most important consequence of this relation has already been pointed out. When the former indicator was used, the slightly acidified solution was of course first freed from carbonic anhydride by long continued heating upon the steam bath, and the end point was determined with pure caustic alkali. It is a noteworthy fact, that methyl orange is useless in very concentrated solutions of sodic sul- phate, the color change becoming apparent only upon dilution. This indicator is naturally less serviceable in the presence of a strong color like that of a copper salt. It is less sensitive with cupric sulphate than with cupric bromide. In such cases as these, colorimetric com- parison can alone afford accurate results ; but even here the effect of a personal equation must be more or less perceptible. Since the amount of either indicator used in any one case was not more than the thirtieth of a milligram, it could not have seriously influenced subsequent operations with the solution. Water. — The distilled water taken hot from the tin-lined condenser around a steam-drying oven contained no ammonia discoverable by Nessler's reagent, and in the first crude experiments this water was used without further treatment. After having been once more dis- OF ARTS AND SCIENCES. 249 tilled in a platinnra still, it appeared to be very pure. The first por- tions of the distilhite wei-e rejected, although no ammonia was found in them. The water left absolutely no trace of residue upon evapora- tion, even after long standing. Such doubly distilled water was used in the second series of experiments. For the third series all the water used, even for minor operations, was distilled four times : first alone, then over alkaline potassic per- manganate, next over acid potassic sulphate, and finally once more alone in the platinum still. Since this water was not different in any of its properties from the second preparation, the last refinements were probably unnecessary ; and in later work water which had been distilled only twice was used. The value of the present work has been largely increased by the unlimited supply of platinum ware placed at the disposal of the writer through the kindness of Professor Cooke. Because of the large size of some of the retorts and bottles, it was impossible to free these vessels from iron after the method of Stas. Accordingly they were digested alternately with strong hydrochloric and nitric acids until pure acid which had remained in them for days gave no test for iron after evaporation upon tiie steam bath. Smaller vessels were freed from iron in the usual manner, by treat- ment with the vapors of aramonic chloride at a red heat, as well as with fused acid potassic sulphate. They were usually protected dur- ing ignition by an outer crucible, from which they were separated by a coil of platinum wire. Crucibles weighing twenty grams rarely showed a variation of more than one twentieth of a milligram between the weights taken before and after any ordinary operations, except- ing when ignited with cupric oxide under conditions which will be explained later. Description of Analyses. First Series. It is evident that the most probable constant error in Hampe's work lay in the great hygroscopic power of cupric sulphate dried at 250°. A possible means of detecting such error existed in the use of the crystallized salt as a starting point. This salt was therefore coarsely powdered, dried to constant weight over a mixture of crys- tallized and partially dehydrated cupric sulphate, and analyzed by electrolysis in the usual fashion. Although the crystalline powder must have contained occluded water, the quantity of copper found in 250 PROCEEDINGS OP THE AMERICAN ACADEMY several samples from different sources was much larger than that demanded by the old atomic weight, and closely approached the theoretical quantity based upon the new value. In the third experiment the weight of water lost by heating the salt to constant weight in the manner described by Hampe * was also determined, and this amount proved to be nearly three tenths of a per cent less than it should have been according to any hypothesis. Since larger crystals of cupric sulphate exposed to air above the desiccating mixture already mentioned lost none of their lustre, and since the salt under these conditions comes to perfectly constant weight, it seemed highly probable that the apparent deficiency of crystal water was due to occlusion in the so-called anhydrous salt, and not to any previous efflorescence of the crystals. The sulphuric acid produced during the electrolysis f was preserved in each case, and approximately determined by means of the first prep- aration of sodic carbonate ; also afterwards by the evaporation of the solution of sodic sulphate. Since the manipulation was more or less imperfect, and the materials and water not quite pure, it is thought unnecessary to include these somewhat bulky data in full here, but the evidence which they furnished was conclusive upon one point. The percentage of acid was not equal to the complement of the other percentages. In other words, over one tenth of a per cent of material liad not been determined. Found. Theory Cu =: 63.60. Theorv Cu - 63.33. Percentage of Water . . . " Copper . . " S()4 . . . 35.958 25.455 38.46± 86.0695 25.4665 38 461 36.109 25.385 38.506 Total 09.87 100.000 100 000 It is seen that we are dealing, not with infinitesimals, but with grave error evident to the crudest analysis. The reason for the deficiency has already been suggested, but the proof is yet wanting. * Loc. cit. t In tliis ronnection it may he noted tliat Hart and Croasdale liavo quite independently used tiie sulphuric acid tims formed as a basis of alicalinietric analysis. (Cliem. News, LXIII 93, 1891.) The idea appears to be a good one OP ARTS AND SCIENCKS. 251 The ratio between the copper and the sulphuric acid, or rather between the copper aiul sodic carbonate on the one hand and sodic sulphate on the other, affords a new twofold basis for the calculation of the atomic weight of copper. This basis is entirely independent of the always uncertain weight of the cupric sulphate and the objectionable method of calculation from difference. The results correspond to the new atomic weight, but the complete discussion of this phase of the subject will be reserved until more definite data have been given. It is interesting to note that these comparatively crude experiments differ only by one or two units in the second decimal place of the result from the far more carefully executed work yet to be described. Analysis of Cupric Sulphate. — First Series: Data and Results. Welgltts reduced to Vdcuum Slandard. No. of Experiment. Weight Cupric Sulphate (cry St, ). Weight CuSOi (250^) found. Weight Copper found. Per Cent Water lost at 250^. Per Cent Copper. 1 2 3 2.8815 2.7152 3.4639 2.2184 0.7337 0.6911 0.8817 • • • • • • • • 35.958 25.462 25.452 25.454 Avenige . . . 35.958 25.455 Second Series. Although from the earlier experiments it appeared that the defi- ciency in the sum of the analytical results might be explained by the hypothesis of the existence of water in the so-called anhydrous cupric sulphate, it was possible that at least a part of this deficiency might be due to experimental error. The next step of the research was therefore to start again upon a more refined basis. It was important, too, that some proof of the above mentioned hypothesis more definite tlian an indirect inference should be obtained. The cleare.st idea of the various operations may probably be acquired through a detailed statement of one of the experiments, and accordingly such a statement is given below. Experiment 4. — The cupric sulphate,* having been cautiously powdered in an agate mortar and dried to constant weight over the desiccating mixture already described, was gradually heated to 255° in a platinum crucible with a very closely fitting lid. * See page 245 of this paper. 252 PROCEEDINGS OF THE AMERICAN ACADEMY Grams. Weight of crucible + CUSO4 . 5 HgO = 23.36188 " " alone = 20.30300 " cupric sulphate in air := 3.05888 Correction to vacuum (Sp. gr. = 2.274) = .00118 Corrected weight CUSO4 . 5 HgO, iu vacuum = 3.06006 Weight crucible + CUSO4 dried for three hours at 255° = 22.26243 " " dried for two hours more = 22.26233 The crucible and contents gained in weight upon the balance pan at a rate of only one tenth of a milligram in four minutes, and hence the last weighing is without doubt sufficiently accurate. When the weight had thus become constant, twenty drops of strong pure sulphu- ric acid were added to the white powder, and the whole was kept at a temperature of 365° for three and one half hours in a suitable air bath composed of a nest of porcelain crucibles. An air thermometer was used in measuring the temperature. Grams. Weight of crucible and contents = 22.25905 The same, after reheating for four hours with six drops more of 11.^0^ = 22.25900 Weight in air of cupric sulphate dried at 365° = 1.95600 Weight in vacuum of cupric sulphate (Sp. gr.* = 3.61) = 1.95637 Loss of weight between 255° and 365° = .00333 The crucible and contents gained in weight even less rapidly than before. This experiment shows that the so-called anhydrous cupric sulphate of Hampe loses about seventeen one-hundredths of a per cent of its weight when subjected to the temperature of the boiling point of mer- cury ; a loss nearly equal to the deficiency which we are seekinj; to explain. The residual salt may be slowly dissolved in water without the need of very great caution. It gives a perfectly clear solution, which is neutral to methyl orange and does not deposit basic salt even upon indefinite standing. These facts alone show that the decrease in weight was not due to loss of acid, but a much more definite proof of this point is given later. For electrolysis, the clear solution of the 1.95637 grams of cupric sulphate was transferred to a large platinum crucible. This crucible had been previously coated inside with pure copper, washed with * Tliis is a mean of the results of Hampe and Karsten. OP ARTS AND SCIENCES. 253 water and alcohol, and dried at 103°. The crucible was supported upon a platinum triangle in the interior of a large breaker, and was covered by a watch glass into 'which was fused the positive electrode. The wires conducting the current into the beaker were of platinum. The whole apparatus was covered with a large watch-glass, which effectually excluded impurity. Several times before the conclusion of the electrolysis the drops adhering to the inner watch-glass were washed back into the crucible by means of apparatus especially adapted for the purpose. After the maintenance for 120 hours of a weak current,* the electrolysis was interrupted, and every trace of the acid iu the crucible was washed as rapidly as was consistent with scrupulous care into a large platinum bottle. The crucible was then washed with pure alcohol, dried at 103°, and finally weighed. Crucible + Cu before electrolysis (Bar. = 767 ; t° = 20°) + additional Cu after (Bar. = 750 ; t° = 20°) Apparent weight of copper Correction for change in temperature and pressure " to vacuum True weight of copper in vacuum Percentage of copper in CUSO4 . 5 HgO " CUSO4 dried at 255° " " " " dried at 250° (Hampe) " " « " dried at 365° Grams. = 36.12120 = 36.90000 = 1).77880 = + .00007 = — ■00001 = .77886 Per Cent. = 25.452 = 39.744 = 39.725 = 39.811 Further comment here is unnecessary. The earlier experiments had already shown approximately the equivalent ratio of sodic carbonate to copper. Accordingly a very little less than the amount of sodic carbonate corresponding to the data above was carefully weighed out from the second sample of this material, and the salt was ignited at a dull red heat until constant in weight. f Weight crucible -f- NaoCOg " " alone (( sodic carbonate in air " " in vacuum (Sp. gr. Grams. = 21.60095 = 20.30260 = 1.29835 2.466) = 1.29880 * Tliese Proceedings, XXV. 202. t See description of sodic carbonate, page 247 of tliis paper. 254 PROCEEDINGS OF THE AMERICAN ACADEMY The sodic carbonate was dissolved in water and poured into the very dilute solution of sulphuric acid which had been formed by the electrolysis. The lid of the crucible, as well as that vessel itself, was very thoroughly washed with water. On account of the gieat dilution of the liquid, carbonic anhydride was not at once set free, but upon warming for six or eight hours upon the steam bath it was easily expelled. During this operation the platinum flask was of course suitably covered, a Gooch crucible being found most con- venient for this purpose. When gas evolution had long ceased, the solution was wholly trans- ferred to a large platinum dish, and was evaporated on the steam bath to a volume of about fifty cubic centimeters. The very slight excess of acid was then titrated by means of sodic hydroxide, using metiiyl orange as an indicator, and was found to require 0.09 cubic centimeter of a decinormal solution for neutralization. The probable error of the end point was not greater than one drop, or one ten-thousandth part of the sodic carbonate present. Grams. Sodic carbonate weighed out = 1.2988 " " added in titration = 0.0005 " " required (in vacuum) = 1.2993 Cupric sulphate taken (CuSOi . 5 H2O) = 3.06006 Copper found in " « = .77886 Per cent of SO4 in CuSOi . 5 H2O = 38.439 Atomic weight of copper : NaaCOs : Cu = 106.108 : 63.606 In transferring the sodic sulphate from the evaporating dish to the capacious platinum crucible in which it was to be weighed, the pre- caution of washing with water which liad been thoroughly boiled was absolutely essential to prevent the possibility of subsequent mechan- ical loss during evaporation. At best, the concentration of a solution in an open crucible over the steam bath is an unsatisfactory operation, and accordingly for the third series a new method was devised. The water left the sodic sulphate very slowly ; but in the end it evaporated so completely that after covering there was a scarcely audible decrepi- tatiim on heating the crucible to redness. The pure white sodic sulphate was finally fused at a bright red heat. During this last opera- tion the salt occasionally became tinged with a slightly yellowish hue, due probably to a trace of iron from the platinum vessels ; but the purest specimens remained wholly colorless. The salt lost only one OF ARTS AND SCIENCES. 255 or two tenths of a milligram duriug the fusion. A drop of very dihite permanganate solution was not decolorized by the solution of tiie residual salt, showing that no reduction had taken place. A very small amount of insoluble residue, consisting of the apparently unavoid- able impurity in the sodic carbonate together with any iron or copper which might be present, was determined in each case ; and the amount was subtracted from the weight of sodic sulphate. Naturally, besides this, it is necessary to subtract the amount of salt corresponding to the acid added in titrating back and forth when determininsf the end point of the acidimetric reaction. This end point had been taken as the average of a number of readings. Below are the data of the experiment under discussion. Weight of crucible + NagSOi (etc.) " " alone Uncorrected weight of NagSO^ Subtract weight of salt added in titration " " insoluble residue Corrected weight of Na2S04 in air Correction to vacuum (Sp. gr. = 2.631) Weight Na2S04 in vacuum Grams. = 18.67040 = 16.92594 1.74446 .00362 .00034 1.74050 +.00063 = 1.74113 Per cent of SO4 in CUSO4 . 5 HgO = 38.445 « " " " found above = 38.439 Atomic weight of copper (if Na2S04 = 142.166, from table) : Weight NaaSOi : weight Cu = 142.166 : 63.595. No copper was found in the solution of the sodic sulphate, and a minute trace only in the insoluble residue. The object of the second experiment of the series was to determine whether the method of weighing cupric sulphate in a tightly covered crucible was an accurate one. The determination was in every respect modelled after the mode of procedure adopted by Harape, a tightly stoppered weighing-bottle being used to contain the salt. The result sufficiently confirmed the previous experiment. For later experiments a crucible was accordingly used, since the evaporation of sulphuric acid at high temperatures is much more feasible in such an apparatus. A mishap prevented the accurate determination of the acid. For the third experiment, a much larger amount of material was 256 PROCEEDINGS OP THE AMERICAN ACADEMY used, the method being essentially that of the first experiment. The large crucible of one hundred and fifty cubic centimeters' capacity used for the electrolysis was not previously coated with copper. The end point of the acidimetric determination was taken with both phenol phthalein and methyl orange, the color change with the latter indicator being rather unsatisfactory in the presence of so large an amount of dissolved substance. The amount of insoluble residue found in the sodic sulphate was only 0.0003 gram; it contained no trace of copper. The results showed that little was to be gained by the use of larger quantities of substance, since the unavoidable errors of quantitative work were multiplied nearly in proportion to the quantities of mate- rial. Mechanical errors are at the present day inessential compared with the constant ones which complicate so many analyses. It is obvious that a far more accurate result could be obtained from four tenths of a gram of really anhydrous cupric sulphate, than from four hundred grams of a substance still retaining nearly two tenths of a per cent of water. Adding in the small amount of water which is lost by cupric sul- phate between 255° and 365", the percentage composition of the crystallized salt, as indicated by the second series of analyses, gives a much more satisfactory total result than before : — Water lost at 255° = 35.960 Additional water lost at 365° = 0.108 Copper =: 25.450 Sulphuric acid radical = 38.436 Total = 99.954 Although greatly improved, the analysis still leaves much to be desired. Even in materials prepared with the described precautions, traces of impurity were manifest. In the last experiment, where a large amount of material was used, a few minute spots, which might have been arsenic, appeared on the clear surface of the electrolytic copper, and traces of a brownish coloration were observed upon the positive pole. Both of these impurities were so infinitesimal in amount that they could not reasonal)ly have been expected seriously to affect the final result; but the thought that they might be responsi- ble for a part of the remaining deficiency prompted the execution of a still more elaborate series of experiments. The data and results of the second series are appended : — OF ARTS AND SCIENCES. 257 Analysis of Cdpric Sulphate. — Second Series: Data. Weiffhts reduced to Vacuum Standard. No. of Experi- ment. CuSOiSUiO taken. CUSO4 (260) taken. CUSO4 i360°) found. Metallic Copper found. Sodic Carbonate required. Sodic Sulphate found. Methyl Orange. Phenol Phthalein. 4 5 6 grams. 3.0G006 2.81840 7.50490 grams. 1.9597 1.8048 4.8064 grams. 1.95(337 • • • • 4.79826 grams. 0.77886 0.71740 1.90978 grams. 1.2993 3.1859 grams. 3.1865 grams. 1.7411 4.2679 Second Series: Results. No. of E.^peri- nient. Water lost at 260°. Additional loss at 360°. Total Per Cent of Water (360°). Per Cent of Copper. Per Cent of SO4 by NajCOa (average). Per Cent of SO^by NajSOi. 4 5 6 35.950 35.964 35.957 0.109 • • • > 0.108 36.068 36.065 25.452 25.454 25.446 38.439 38.435 38.444 38 424 Averages 35.960 0.108 36.067 25.450 38.437 38.434 Third Series. It is only by gradual approach that very accurate quantitative work may be realized, and the earlier series were absolutely necessary as a training and preparation for the present one. Tliis series had for its object, not only an investigation of the effect of increased refinement, but also a definite proof that the amount of acid present in cupric sulphate was unaffected by the operations involved in the dehydration of the salt. To this end the first sample was not dehydrated at all, the second was heated only to 250°, and the third was exposed to the full heat of 365°, after the addition of sulphuric acid. Since the percent- age of acid found in these samples did not vary beyond a reasonable limit of error, the proof is satisfactory. The additional precautions taken in the preparation of the materials have already been mentioned under appropriate heads. Besides these, VOL. XXVI. (n. S. XVIII.) 17 258 PROCEEDINGS OP THE AMERICAN ACADEMY many refinements of manipulation were employed, too numerous to be fully described. For example, pbospliorous pentoxide was used as a drying agent in the desiccator, and immediately after the introduction of a hot crucible the air was exhausted with a good air-pump and readmitted through a series of drying tubes. This method of course absolutely prevents the absorption of moisture by the contents of the crucible, while cooling. Again, in the ninth experiment, the solution of the perfectly neutral sodic sulphate was transferred to a small flask, heated to 103°, and evaporated by means of a current of pure dry air. When dry, the sulphate was gently ignited and weighed in the flask, and subsequently fused in a platinum crucible. The flask lost 0.00010 gram during the operations, and the sodic sulphate lost 0.0003 gram upon fusion. With the exception of the small flask, all the apparatus was of plati- num. The sodic sulphate formed in the second experiment, and the sodic carbonate required in the third, were not determined. The last experiment of the series was not of the same grade of refinement with the others. It is only included here because the same preparation of cupric sulphate was used in its execution. The determination of the sulphuric acid by still another method was the object of this experiment. Baric sulphate was precipitated from a boiling solution of cupric sulphate strongly acidified with hydrochloric acid. After weighing as usual, the perfectly white precipitate was fused with pure sodic carbonate, and the resulting cake thoroughly lixiviated with boiling water and dilute sodic carbonate solution. In the filtrate, the chlorine, which had been originally present as baric chloride occluded in the sulphate, was determined in the usual manner. Traces of baric sulphate and argentic chloride must have been dis- solved in the wash water, but these errors tend to counterbalance one another, and hence no correction was made for them. Finally, the weight of baric chloride, calculated from the amount of chlorine found, was subtracted from the weight of baric sulphate ; and from the cor- rected weight thus obtained the percentage of sulphuric acid in cupric sulphate was calculated. The astounding agreement of this experi- ment with the others may be nothing more than accident. In any case, the uncertainty of the atomic weight of barium, and the very unsatisfactory nature of baric sulphate, combine to make a repeti- tion of the experiment of little value for the present purpose ; but the method seems to be of value, and will form a subject of future inves- tigation in this Laboratory. It is well known that baric sulphate has OF AETS AND SCIENCES. 259 great power of occluding many salts, but few experimenters seem to have realized that the occlusion of most metallic sulphates tends to decrease the amount of precipitate obtained. This fact was recognized by Professor Jannasch and the writer* in 1889, and would influ- ence the controversy between Ostwaldf and Kruss.J The occlu- sion of baric chloride of course increases the amount of precipitate when sulphuric acid is to be determined, and diminishes it when barium is to be determined. With care this last error may be reduced to a very small amount, but it is doubtful if it has ever been wholly avoided. A trace only of copper was found in the precipitate ob- tained in the experiment described above, showing that cupric chloride is not occluded to any essential extent. In spite of the fact that the important analyses of the third series were far more carefully performed than those of the second, the result was no more satisfactory than before. It was therefore apparent that a point had been reached beyond which further refinement was unavail- ing, and that the reason of the discrepancy must be sought, not in accidental or variable impurity, but rather in some property inherent in the purest cupric sulphate. Analysis of Cupric Sulphate. — Third Series: Data. Weights reduced to Vacuum Standard. No. of Experi- ment. OusOi.snjO taken. CUSO4 found. Metallic Cu found. Na,C0, found by Metli3'l Orange. NaXOs found by Phenol Phthaleia. Sodic Sulphate found. 7 8 9 grams. 2.88307 3.62913 5.81352 grams. at 260= 2.82373 at 370=± 3.71680 grams. 0.73380 0.92344 1.47926 grams. 1.2242 1.5407 grams. 1.22435 1.54080 .... grams. 1.68994 3.30658 CUSO4 . 5 H.O taken. Baric Sul- phate found (uncor.). Argentic Chloride found. Baric Chloride calculated. Baric Sulphate corrected. 10 grams. 3.1902 grams. 29967 grams. 0.0284 grams. 0.0206 gram.s. 2.9761 * J. fiir prakt. Chemie, XXXIX. 321 (1889). t Lehrbuch der Allgem. Chem., I. 53. 1 Annalen, CCLXII. 40. 260 PROCEEDINGS OF THE AMERICAN ACADEMY Third Series : Results. No. of Ex- periment. Water lost at 260°. Water lost at 370°±. Copper found. SO4 found from NajCOs (average). SO4 found from NajSOi. 7 8 9 35.970 • • • • 36.067 25.452 25.446 25.445 38.443 38.435 38.433 38.431 10 From Baric Sulphate. 38.434 Average 35.970 36.067 25.448 38.439 38.433 Percentage Composition of Cupric Sulphate. Second Series. Third Series. Theoretical. Cu = 63.60. Cu = 63 33. Water Copper SO4 36.068 25.450 38.436 36.067 25.448 38.436 36.0695 25.4665 38.464 36.109 25.385 38.506 99.954 99.951 100.000 100.000 The Cause of the Deficiency. It was by no means easy to trace the cause of the disappearance of less than one two-thousandth part of the material to its true source. The notable agreement between the percentages of water given in the first three columns of figures immediately above of course sug- gested the possibility of a loss of copper and sulphuric acid during the electrolysis ; and it became an important matter to test the point. Accordingly weighed portions of a dilute solution of pure sulphuric acid were estimated with weighed amounts of sodic carbonate. Other portions of the same solution, weighed alternately with the previous ones, were then evaporated over the water bath with small amounts OF ARTS AND SCIENCES. 2C1 of cupric nitrate and successive additions of water. The cupric sul- phate formed by this treatment was wholly decomposed by electroly- sis, and the resulting sulphuric acid was determined exactly in the usual manner. The comparison of the acid solution before and after electrolysis is capable of showing at once whether any sulphuric acid was mechanically or chemically lost during the process. If any nitric acid had been held by the sulphuric acid in the second case, it could not have escaped decomposition during the electrolysis. Following are the results : — Strength of H.2SO4 before Electrolysis. Weights reduced to Vacuum. Number of Experiment. Solution taken. NajCOa required. Na.,C03 for 10.000 grams Solution. 11 12 grams. 5.5932 11.4175 grams. 1.0175 2.0768 grams. 1.81917 1.81896 Average . . . 1.81906 Strength of H2SO4 after Electrolysis. Weights reduced to Vacuum. Number of Experiment. Solution taken. NajCOs required. Na.,C03 for 10.000 grams Solution. 13 14 grams. 16.8214 5.5612 grams. 3.0592 1.0115 grams. 1.81865 1.81886 Average . . . 1.81876 Difference between averages 0.0003. Known mishaps tended to make the first experiments of each of the two groups respectively too high and too low. It is seen that the second experiments gave nearly identical results. Considering the increased transference and manipulation involved in the second group, 262 PROCEEDINGS OF THE AMERICAN ACADEMY the coaclasion seems to be warranted that little if any sulphuric acid is lost during electrolysis. In order to prove like relations with regard to copper a similar method was adopted. Weighed amounts of electrolytic copper were dissolved in pure nitric acid in a flask provided with bulb tubes for the condensation of spray. The cupric nitrate was then evaporated with an excess of sulphuric acid upon the water bath, and the cupric sulphate was electrolyzed as usual. Electrolysis op Copper. Number of Experimeat. Copper taken. Copper found. Loss of Metal. 15 16 grams. 1.24156 1.00613 grams. 1.24139 1.00600 grams. 0.00017 0.00013 Here again, the manipulation was so much more elaborate than in a simple electrolysis that it is difficult to decide where the slight loss took place. In another experiment (No. 17) both copper and sul- phuric acid were weighed before and afterward, but the experimental operations were so doubly involved that the determination was of very doubtful value. The result was not materially different from the others, however. The significant portions of the data are given in anotlier place.* In the course of these experiments it was found that a compact and brilliant copper film may be safely washed by decantation if sulphuric acid alone is present. Indeed, during most of the preceding deter- minations this method was adopted to insure complete collection of the acid, and in only one case (P^xperiment 7) was as much as one twentieth of a milligram of copper found in the filtrate. In this case that amount was added to the larger quantity, and the sum is given in the table. Potassic ferrocyanide was the reagent used in the colori- metric tests. Assuming the deficiency of copper and acid as found above to represent a real loss during electrolysis, the composition of cupric sulphate would be : — * Page 268. OP ARTS AND SCIENCES. 263 Water . Copper SO4 . Uncorrected. 36.007 25.449 38.435 99.951 Corrected. 36.067 25.452 38.442 99.961 That is to say, an uudoubtedly excessive value for this correction would account for only one fifth of the deficiency for which explana- tion was sought. The correction is at best very doubtful, and it is not applied in the final calculation of the atomic weight. Its appli- cation would make no essential difference in the final result, but would render the individual variations much less marked. The only probable interpretation of the deficiency now lay in the assumption that cupric sulphate still held a volatile impurity at 360°. Such an amount of any non-volatile foreign substance would have increased the weight of sodic sulphate found at the conclusion of the analysis by about eight one-hundredths of one per cent, an amount entirely too large to escape detection. Besides, such a source of error had already been shown to be unlikely. After it had been experimentally proved that cupric sulphate had no tendency to hold ammonic sulphate at 370°, the hypothesis of the occlusion of a small amount of water became the last resource. At first sight it seems improbable that any material could hold appreciable quantities of water in the presence of sulphuric acid when so strongly heated. But it must be remembered that at this temperature the acid is dissociated, and water is actually present in the vapor. It was hoped that sulphur trioxide might be more efficient as a dehydrating agent, but a single experiment (No. 18) showed that cupric sulphate possessed more affinity for water even at 300° than did the sulphur trioxide. 2.3787 grams (in vacuum) of cupric sulphate lost 0.8554 gram in weight on heating to about 300° in a glass tube under a current of dry air. Upon continuing the application of heat in air charged with sulphuric anhydride from Nordhausen acid, no essential change in weight was observed. The apparatus was somewhat com- plicated in order to avoid rubber connections, but a description of it is superfluous. The total loss was 35.962 per cent of the weight taken. 264 PROCEEDINGS OP THE AMERICAN ACADEMY Experiments showed that between 360° and 400° cupric sulphate does not essentially lose in weight. For example (No. 19 or 23), 1.28563 grams of the substance dried at the former temperature weighed 1.28558 grams after heating for ten hours at 400°. At the temperature of dull redness the salt slowly decomposes. If the loss of weight during this decomposition could be compared with the deficiency of sulphuric acid in the residue, it is evident that an indirect means would be at hand for the detection of a possible simultaneous loss of water. Such a circuitous road seemed to be the only one open to the present search. In the series of experiments tabulated below, pure cupric sulphate was heated in the usual manner to 250°, and then after the addition of sulphuric acid to 400°, until the salt became constant in weight. The heat was then increased to dull redness, and after cooling the loss of weight was determined. Upon solution of the residue in water a small amount of basic salt was naturally deposited. Since the filtrate was apparently quite normal, it is evident that the amount of sulphuric acid necessary exactly to dissolve this precipitate must have been equivalent to the anhydride driven off. After standing a considerable time, the basic salt was carefully filtered off and a measured amount of twentieth normal acid was used for its solution. The crucible used for the ignition was also washed with a measured quantity of acid. The clear solutions were all com- bined, and the excess of acid was determined by sodic hydroxide and methyl orange. Since the loss of weight upon ignition was noticeably more than the amount of anhydride corresponding to the quantity of sulphuric acid used to dissolve the basic salt, something beside sulphur trioxide must have been expelled by the heat. The last column of the table gives the difference between the loss of weight of the cupric sulphate and the amount of sulphuric anhy- dride required to dissolve the basic salt, expressed in percentage of the original crystallized compound. This difference probably repre- sents a small amount of water held even at 400°. The results showed a very noticeable variation, and at first sight appeared somewhat un- satisfactory. The first two experiments agreed well with each other, and were apparently very trustworthy. In the third, on the other hind, the amount of basic salt was so large as greatly to interfere with the accuracy of the result. In Experiment 23 the lossr of weiglit upon ignition was so very large, amounting to about three per cent of the anhydrous sulphate, that the experiment was rejected. After such a failure, it was natural that the next sample should not have OP ARTS AND SCIENCES. 265 been heated enough. This result is hence probably too low. Tlie last experiment was more carefully regulated, and is more trustworthy. In this case the cupric sulphate was heated for an hour at very dull redness. Action of Heat upon Cdpric Sulpuate. Weights reduced to Vacuum. IS" d ^5 1 — 1 o S a O bCOQ Weight after Ignition at dull Redness. Loss between 400° and Redness. n'i, normal H.^S04 required for Basic Salt. Per Cent of CuS04.5H.,0 unaccounted for. Uncor- rected. Corrected.* 20 grams. grams. 1.5822 grams. 1.57945 grams. 1.57325 milli- grams. 6.2 cubic ceutim. 2.65 cubic centim. 2.65* 0.044 21 2.71828 1.7413 1.73886 1.73130 7.06 2.95 2.85* 0.050 22 4.7325 — 3.0258 2.9928 33.0 16.86 [15.86*?] [0.030?] 23 2.01084 1.2880 1.2856 1.2504 35.2 — — — 24 7.211 — 4.6075 4.6055 2.0 0.33 0.32* 0.019 25 3.979 — 2.5443 2.5403 4.0 0.93 0.90* 0.055 Total Average ige omitti 0.040 Avera ng22 0.042 The filtrates from the preciftitates of basic salt did not deposit any further solid upon long standing. That from the last determination was rendered very distinctly acid to methyl orange by the addition of a milligram of sulphuric acid, in spite of the difficulty in detecting the color-change in the presence of the blue cupric sulphate. These tests indicate that the filtrate was wholly normal. In order to test still more definitely the accuracy of the method, the following mode of procedure was devised. To neutral solutions of cupric sulphate — prepared either from the purest crystals or by long standing after the neutralization of the trace of acid in ordinary " chemically pure " material — were added small measured amounts of a standard sodic hydroxide solution. After a time, the precipitate was filtered oft' and dissolved in standard sulphuric acid, exactly as if it had been obtained by the expulsion of the acid through heat. * See page 266, Experiments 26-37. 266 PEOCEEDINGS OF THE AMERICAN ACADEMY Test of Mkthod. Precipitation and Solution of Basic Citpric Sulphate. Number of Experi- ment. Concentration of Solution. Time between Precipitation and Filtration. Twentieth normal XaOH used. Twentieth normal H,jS04 used.' Factor c. c NaOH e C.H2SO4 26 27 28 Strong. Strong. Medium. 10 minutes. 90 minutes. 15 hours. cub centim. 3.00 3.00 3.00 cub. centim. 2.85 2.94 3.14 1.05 1.02 .95 29 30 31 32 33 Dilute. <( tc <( « 1 hour. 90 minutes. ■ >( 700° ; f hour. 600° ; 2 hours. See below. 900°; Ihour. 0.17 0..30 1..35 0..30 0.33 041 0.36 0.29 1.37 2.12 0.75 0.17 0.050 0.035 0.084 0.087 0.077 0.079 0.070 0.079 0.080 0.082 0.088 0.039 Bulbs. Flask. Bulbs. t( i( Used IICl. Bulbs. See below. Flask. See below. 96 97 ( From Carbon- ) } ate prepared > ( from Nitrate ) 0.65 0.50 600° ; 1 hour. 290°. 0.09 0.10 0.016 0.023 98 99 ( From Carbon- ) } ate of Com- > ( merce ) 1.00 0.75 600° ; 1 hour. It tt 0.10 0.03 0.011 0.004 100 Wire form 1.00 — O.Oli 0.001 ± ( Contained ) Cu.,0. OF ARTS AND SCIENCES. 287 The liiglier temperatures recorded above are merely approximate guesses. GOO^ signifies a dull red heat, 700° a medium red heat, and 900° a very bright red heat. In Experiment 92 the oxide was heated at the highest temperature obtainable by a Berzelius spirit lamp. In No. 94 the material was heated for an hour and a half in the Berzelius lamp, and then for an hour in a glass tube under a stream of oxygen. The oxide was transferred while warm to the bulb apparatus. It evolved upon solution 0.088 per cent of gas, one eighth of which was oxygen. In the ninetieth experiment hydro- chloiic acid was used for the solution of the oxide. The two series of determinations, which were perhaps more numer- ous than necessary, showed the following important facts: — First, that cupric oxide prepared by the ignition of the oxynitrate after Hampe's method contained between four and five times its volume of occluded gas. (Nos. 58, 63-67, 84-94.) Second, that ignition of the oxide at very bright redness was ca- pable of expelling a portion of this gas. The temperature required was nevertheless considerably above that which Hampe apparently employed. (Nos. 59, 81, and 95.) Tiiird, that beyond a certain limit the time of ignition makes no important difference. (Nos. 86-91.) Fourth, that the gas was not absorbed from the air on cooling. (Nos. 64, 65, 66, and others.) Fifth, that specimens of cupric oxide prepared in different ways contained very different amounts of gas. It is a curious fact that material which has been heated only to 300° contained less gaseous nitrogen than that which had been ignited at a higher temperature. In this case the nitrogen may still have existed in the combined form. (Nos. 78, 79, 84, 85.) An explanation for the observed phenomena must necessarily be hypothetical, and will not be attempted at present. In order to find the direct connection between the loss of weight noticed upon heating cupric oxide and the quantity of gas retained by the substance, the following experiment was made. Experiment 101. — Cupric oxide which had been heated to constant weight at dull redness was ignited at bright redness in a double platinum crucible. 288 PROCEEDINGS OF THE AMERICAN ACADEMY Grama. "Weight of platinum crucible = 18.0889 " crucible + CuO, 2^ hours at dull redness = 19.6o8o2 « " " 4 hours more " = 19.6584G After ignition at very bright redness (20 minutes) = 19.6574 " " (50 m. more) =19.6571 Total loss of weight = A)014 One gram of this specimen was shown to contain 0.00081 gram of dered thymol under ) water.t Expansions of a single lump under mercury | Liquid 101128 101128 7600 + 26 7500 + 6 0 0-46 0-53 12 5 S Pyknometer measure- 1 ments. Pyknometer measure- ments, liquid boiled in vacuo. Air also expelled by vacuum solidification. * Am. Journal, Vol. XLII. p. 125 et seq., 1891. Cf. Vol. XXXVIIL p. 408, 1889 ; Vol. XXXIX. pp. 490-494, 1890. t Evaporation in the first set not allowed for ; hence the high Vq — .96369. } The lump unavoidably contains vacuities and fissures within. Powdered thymol cannot be put under mercury, free from air. 316 PROCEEDINGS OP THE AMERICAN ACADEMY Measurements of thermal expansion made with a variety of methods gave me the data of Table I. They have been conveniently put in the form of an equation (Mendeleeff), r = t'o /l —kd, where v is the specific volume of thymol at 6° C, and k is all but constant as to temperature. The discrepancies here observed are easily explained, being in part due to unavoidable insulficiencies of the methods, and in part to the special properties of thymol. The numbers in Italics correspond to the conditions under which the calorimetry must be done, and are therefore selected. It will be seen that at zero the difference of specific volumes solid- li<]uid is about .0485 c.c, whereas at 50° the same difference has in- creased to .07G0 c.c, an increase of more than 50%. This cannot be regarded as a mere differential. Indeed, the relations are such that the curves if prolonged intersect at about — 100% after which the volume of the solid exceeds tliat of the li(|uid. In other work * I referred to the same point as the transitional temperature, and inferred it from the tendency of the volume lag to vanish when temperature is decreased below a certain value. The new evidence in favor of a continuous jiassage of the normal type of fusion into the ice type is noteworthy. Solidification contraction decreases with temperature at a rate very much more rapid than tlie coetRcients of expansion. G. Latent Heat. — A general survey of my best results for latent heat (X) are given in the following table, for the intervals of temper- ature specified. TABLE II. — Latent Heat of Thymol varying with Temperature. Temperature Interval. \ Temperature IntervaL \ Temperature Interval. A. o o 3.2-5.1 23.0 25.9-30.7 26.3 35.6-37°7 22.6 4.2-6.1 23.4 25.8-30.4 26.9 35.1-39.0 23.4 2.5-4.7 24.8 25.8-30.4 26.9 36.2-39.2 22.7 25.7-30.3 26.9 36.0-39.6 36.4-39.9 26 0 23.7 Mean. Mean. Mean. Mean. Mean. Mean. 4?.% 23.7 28°.l 26.8 37°.5 23.7 * Am. Journal, Vol. XLII. p. 145, 1891. OP ARTS AND SCIENCES. 317 The difficulty in obtaining such results is excessive ; for, apart from the serious complications of the method itself, (thus it takes hours before complete solidification sets in at the higher temperatures, and minute stages must be observed in order to allow for radiation,) the observer is dealing with au (under-cooled) substance, which at the mere suggestion of careless handling begins to freeze prematurely, and which in the liquid state tends to become impure by absorption of air or water vapor. These decompositions are gradual, yet they cannot be disregarded, because they lower the melting point and thus induce early partial fusions and late complete solidifications. The table also shows the difficulty in working at other than room temperature. 7. Specific Heat. — For the reasons just stated, I shall have to give my data for the specific heat of thymol provisionally ; for thougli I made such experiments with great care and in considerable number, I was not at tlie time fully conversant with the variety of precautions to be taken to keep the substance pure. TABLK III. — Specific IIkat of Sor.in and of Liquid Thymol. Substance. Temperature latcTVul. Specillc Ueat. Substance. Temperature Interval. Specific Ueat. Solid o o 20-32 22-43 .388 .430 Liquid o o 25-54 .508 Solid « « 22-32 22-4 ; 22-48 24-49 .374 .429 .643 .969 Liquid « 22-38 23-51 .506 .515 Solid after 1 distillation j 26-41 .504 1 Liquid dis- 1 tilled J 26-42 .509 These data, obtained with diflferent charges, arc much below the sensitiveness of the method. The values for solid thymol, moreover, show the unreasonably large influence of temperature, accounted for in § 6. 8. Molecular Pressure. — Taking the data of Table II. at their face value, the only justifiable conclusion to be derived is that A is con- stant for the interval 0" to 40°. AVithin the same interval the differ- 318 PROCEEDINGS OF THE AMERICAN ACADEMY ences of specific volume increase from .048 c.c. to .071 c.c, nearly 50%. Hence, if either of these quantities be more than a vanishing increment, their difference must also be. From a different point of view : if the dissociation energy, q, is large as compared with the expansion energy, then the thermal con- stancy of X is of little consequence here. I make the supposition, therefore, that q is not large relative to fpdv, a point which I will endeavor to test in § 12. Returning to equation (1), § 3, it therefore follows experimentally that XV, pV pdv = q + I pdv (2) "'^ where q^ and q are the dissociation energies, p the molecular pressure, Vq and Vq the specific volumes solid and liquid respectively at zero Centigrade, and where v and V have the same meaning at any given temperature between zero and the melting point. If by § 2, ^'o = q, then equation (2) may be reduced to I p dv — I p dv = 0 (3) an equation in which the molecular pressure is expressed in terms of the thermal expansion of the liquid and the solid within the same thermal limits, and by which any reasonable law of internal pressure may be preliminarily tested. Now suppose these integrations be successively taken at zero, and all succeeding stages up to the melting point : then will the distance apart of the limits of either term vary in any ratio relative to the distance apart of the limits of the other. An equation p(V-i()=c (4) will therefore at least partially satisfy (3). In how far it may do so throughout the whole interval 0° to 50° may be gauged by determin- ing the constancy of x throughout this interval. This is done in the next table, where ?', V, and >t are given for successive tempera- tures d. The constancy of x is thus marked, and quite within the range of experimental errors ; and hence the equation (4) expresses the law of force as well as any other function fitted to equation (3). OF ARTS AND SCIENCES. 319 TABLE IV. — Values of k. e V V K Mean k o 0 30 .96300 .97035 1.01128) 1.03508 ) .94140 .94145 10 40 .96540 .97289 1.01905 ) 1.04334 S .94148 20 50 .96785 .97550 1.02698 ) 1.05178 ) .94148 Since X is the minimum volume to which the h'quid may be reduced when pressure increases indefinitely, it is interesting to note that this volume is (1.05 — .94) /1. 05, or 10% below the liquid volume at the melting point. Amagat* found that even at 3,000 atm. the vol- ume of water at 17°. 6 was not decreased more than 10%. Again, X = .9415 is very near the volume of solid and liquid thymol at the transitional temperature, this volume being .9420. Thus through- out this tentative work a certain degree of consistency is apparent, always remembering that the approximations q^ ^ q and p^ ^ p is not vouched for. 9. Equation (4) may be regarded as a point of departure from which the further construction of the equation may be attempted. Thus it is next in place to endeavor to ascertain how temperature may be said to lurk in the quasi constant, p ( V — x). In a sub- stance like thymol, which boils at 233°, the interval 4°-40° is too small to bring out thermal variations appreciable by the above method. Hence the deduction from (2),if^ {V — x) = g) {T), though easily integrable, is not as yet available. I have therefore sought to throw some light on the thermal variations of p, and on the relative importance of q — qo by other methods. In the first place I will note the possibility of getting rid of con- siderations relative to the thermal variation of the dissociation energy, q, as follows. Suppose the specific heat at constant volume is the same for the * Amagat, Compt. Rend., Tom. CUT. p. 429, 1886. According to Riicker (Nature, Vol. XLI. p. 362, 1890) converging lines of evidence show that liquids cannot be compressed more than .2 or .3 of their normal bulk. 320 PROCEEDINGS OF THE AMERICAN ACADEMY liquid and for the solid, kept at the same volume and temperature. Suppose also that the solid and the liquid isopiestics for a given pressure do actually intersect at the transitional temperature, § 5. If, therefore, the latter be taken as a point of departure, the total energy communicated to the liquid up to the temperature t and volume V, when a is the transitional volume, will be q + J PdV+F(£), where the three terms represent dissociation, expansion, and purely thermal energy, respectively. The corresponding total energy im- parted to the solid up to the temperature t will be 0+ r pdv+f(t). a being the common volume at the transitional temperature. The difference between these quantities is the latent heat, X, at t. Hence the increase of latent heat from t^ to t will be, (since X is constant, and F (t) — f (t) is assumed to be constant,) f Pdv + f pdv = 0 (3') an equation which differs from equation (3) in so far as P and p de- note the internal pressures for the liquid and the solid states respect- ively, under conditions in which external pressure is pronouncedly variable. The equation (3') would still apply if the specific heats at constant volume differ only by a constant appreciably within the limits of observation (0°-50°), but it is not available for practical comparisons. 10. 27ie Isometrics. — Some time ago I showed* that within a range of 1,000 atmospheres of external pressure, at least, and within rea- sonable limits for the thermal stability of organic bodies, the iso- metrics of liquids, and particularly of thymol, f are very nearly straight. Thus the extension of equation (4) would be ip+p') (V->i)=cT, * Phil. Mag., (5,) Vol. XXX. p. 348, 1890. t Ibid., p. 358, and Plate XI. OF ARTS AND SCIENCES. 321 where /)' is the external pressure and T is temperature. In my experiments, only a single value of volume is introduced, and hence the work is not further available. Referring to the iutriusic equation of Ramsay, Young, and Fitzgerald (loc. cit., p. 51), p'^RTl{v-v,)-iiiv\ so that here the internal pressure has the form p = fi/v\ 11. Isothermals. — The question ceases to retain so simple an aspect when the isothermals of liquids are considered. Of the two equations which I discussed in my work * on the compressibility of liquids, viz. : dp' d 1 + ap' and dV d^ fi (1 + vp') IV2 • (6) where p' is the external pressure, and d, a, jW, v are constants, the latter is at once compatible with the results of § 9. For equation (3) leads to dV _ _ ^(T) dp p^ (7) and hence in equation (4), llv=p is the internal pressure active under the isothermal circumstances of compression, and The results actually found for thymol are given in Table V., 2" being the absolute temperature of the isothermals, and pressures being in atmospheres. TABLE V. — Compressibility of Thymol, dV dp nlv^ (l/r + /)2 T IJ. X lOe V X io» Vv M/r2 Remarks. o Atm. 301 66 300 3370 750 Initial pressure, p'q — 20 atm. 338 73 330 3050 680 Interval of observation, 400 atm. 373 97 435 2300 510 - lj.lv - const. = .222. 458 162 730 1370 304 Melting point, 49°.5 C. 583 481 2160 460 102 Boiling point, 233° C. * Am. Journal, (3,) Vol. XXXIX. pp. 497 and 506, 1890. VOL. XXVI. (N. S. XVIII.) 21 322 PROCEEDINGS OF THE AMERICAN ACADEMY Thus it is seen that thej internal pressures (Ifv) decrease from a value of nearly 4,000 atm. at zero Centigrade, indefinitely. The same is true of jtt'r', but in neither case are the observations sharp enough to indicate the nature of this variation. Indeed, to co-ordinate all the results, I used the smoothing process fi/v = const. Hence I shall have to sketch the mere trend of the data here involved, by grouping the values fi/v"^ along some mean straight line like .29 (560 — 7^ r^ g) (7^), wherein preference is given to low temperatures. Thus the volume equation takes the form _ 2^9(0^^ When p :=^ — p', the liquid will boil, and consequently, since v — x remains finite, 7*= 560. This number stands not unreasonably for the absolute boiling point of thymol at the external pressure p', which in the last table is 20 atmospheres. 12. The question now arises how the result (8) compares with the calorimetric equation q + \ pdv = X, where X = 25 is at the outset considered constant as to temperature. Availing myself of equation (8), expressing pressures in degrees per square centimeter instead of in atmospheres, and remembering that Joule's equivalent is 4.2 X 10'', I find / ^^ 2 9 F — X pdv = ^ X (5Q0- T)X In ^ ... (9) Table IV. shows that throughout the interval 0° to 50° hi ( V— x) / (v — x) = 1.18 nearly. Hence the values of the dissociation energy q are in gram calories, 0° pdv 20° 40° Thus the dissociation energy is small as compared with the expansion energy ; but q increases with temperature which is unreasonable. To explain this discrepancy it is necessary to revert to Table II., supposing 23.4 q^ 1.6 21.8 3.2 20.1 4.9 OF ARTS AND SCIENCES. 323 the constancy of k no longer tenable. Thus it appears that the march of q is within the errors of I, and hence it has no meaning. Cf. § 9. It follows, in general, therefore, that the results obtained iu measure- ments of the compressibility of thymol are not inconsistent with the calorimetric data ; and it has thus been brought out, inasmuch as the dissociation energy is not large relative to the expansion energy, that the premises of § 8 are sustained. 18. Energy and Volume. — I have finally to touch upon the data obtained for specific heat, and their bearing on the purely thermal energy of thymol. It is interesting in the first place to compare the heat absorbed per unit of volume increase in the solid state, the liquid state, and during the change of state from solid to liquid. This has been done in the following table. TABLE VL — Volume Relations of Thermal Capacity. Liquid Interval 22^ to 38='. Fusion. Solid Interval 22° to 32^. Mean spec, heat, .506 \ Mean volume in- i crease .01307 cc. [coefficient .000817 AQ Ratio -- 620 A V Latent heat, 25.4 C Volume increase, \ .0589 at 19°.3 ( .0655 at 31°.8 S 4-0 1 \ 390 S Mean spec, heat, .381 f Mean volume in- , crease . . .002-'^0 L Coefficient . .00025 1520 Thus it appears that the energy expended per unit of volume in- crement is in marked degree greater for the solid than for the liquid state, and is greater in both of these states than during the inter- mediate fusion. 14. Sufficient data are now in hand for the computation of the specific heat at constant volume of thymol. Applying the well known thermodynamic relations (cf. Clausius, Chap. VIII., § 5) at 29°, Table V. shows (d Vejdp) = 66/10^- in terms of dynes per square centimeter and atmospheric pressure nearly. Under the same con- ditions {d Vpidd) = 801 /1 0« from Table I. Hence the specific heat at constant volume C„ is, from Table III., 0, = .506 - ((29 + 273)/42 x 10'') ((801)2/66) = .436, or about .86 of the specific heat at constant pressure C^ = 506. 324 PROCEEDINGS OF THE AMERICAN ACADEMY The value C^^ A4 is larger than the solid specific heats at constant pressure for the same interval (Table III.), and hence a fortiori larger than the corresponding solid specific heats at constant volume, which are as yet indeterminable. § 9. With this result, a direct computation based on equation (9) above may be compared. Integrating betvreen 22° and 38° (Table VI.), — i. e. betveeen the specific volumes 1.02860 and 1.04167, — the expan- sion energy is found to be 2.56 to 2.42 g. cal., according as the mo- lecular force at the beginning or the end of the interval is inserted. The total energy imparted within this interval is .506 X 16- Hence the purely thermal energy per degree between 22° and 38° has the mean value of .35, or about two thirds the specific heat at constant pressure. Compared with the preceding datum, .44, this result is considerably too small ; i. e. the expansion energy applied is about twice as large as its true value. I might point this out as an indication of the diffi- culty encountered in deducing internal pressure from the curvature of the isothermals (§ 11) ; but the true nature of the discrepancy is an error in principle, since the change of internal pressure with tem- perature must be radically different when the body is kept at constant external pressure in one case, and at constant volume in the other. Hence I do not regard the present result as conflicting with § 12. 15. Melting Point and Pressure. — The data of Tables I. and H. suflfice for a preliminary computation of this value. Using the nota- tion of Clausius (Warmetheorie, Chap. VII,, § 2), Table I. shows that at T = 50° (melting point, nearly), a — r = .0763. From Table II. the mean value (0°-50°) of r' is 24.7, the minimum value 23, and the maximum 27. Hence, if pressures be expressed in atmospheres instead of dynes per sq. cm., the mean relation of melting point to pressure is d T/ dp = .024 ; or, more clearly, .025 >dTldp > .022, where the upper limit is probably more nearly correct. This value lies well within the margin of data (.020 to .036) thus far in hand, and found with wax, paraffine, spermaceti, and naphthalene. From a perusal of my work on the continuity of solid and liquid,* it appears clearly, however, that a more accurate value of o? Tdp is obtainable from direct experiment, from which a value for latent heat may then be computed by inverting the thermodynamic ecjuation. * Am. Journal, Vol. XLII. p. 144, 1891. OF ARTS AND SCIENCES. 325 16. In the above paragraphs I have endeavored to exhibit the stage of progress attained iu the work on molecular pressure, at the time when it had to be abandoned ; for the calorimetric work can only be satisfactorily done in midwinter, Cf. §§ 5, 6, 7. It will be seen, I think, that the subject, as a whole, is ripe for sharper tests, and the work will therefore be resumed at an early opportunity. Physical Laboratory, U. S. G. S., Washington, D. C. PROCEEDINGS. Eight hundred and thirty-third Meeting. May 27, 1890. — Annual Meeting. The Vice-President in the chair. The Corresponding Secretary read an obituary notice of the late Rowland G. Hazard. The following gentlemen were elected members of the Academy : — Henry Newell Martin, of Baltimore, to be an Associate Fellow in Class II., Section 3, in place of the late John C. Dal ton. Sir Henry Enfield Roscoe, of London, to be a Foreign Honorary Member in Class II., Section 1, in place of the late James P. Joule. On the motion of the Corresponding Secretary it was Voted, To meet, on adjournment, on the second Wednes- day in June, at half-past seven o'clock. The Treasurer's report was read and accepted. The report of the Librarian was read and accepted. On motion of the Corresponding Secretary it was Voted, To appoint a committee to consider a proposed change in the statutes as they affect annual assessments. The Treasurer, the Recording Secretary, and Dr. H. W. Williams were appointed. Voted, To appropriate the sum of twenty-five hundred dol- lars ($2500) for the expenses of publication for the ensuing year. Voted, That an appropriation of twelve hundred dollars (81200) be made for the purchase and binding of books for the ensuing year. 328 PROCEEDINGS OF THE AMERICAN ACADEMY The annual election resulted in the choice of the following officers : — Joseph Loveetng, President. Andrew P. Peabody, Vice-President. JosiAH P. Cooke, Corresponding Secretary. William Watson, Recording Secretary. Eliot C. Clarke, Treasurer. Henry W. Haynes, Librarian. Council. Amos E. Dolbear, Arthur Searle, \ of Class I. William E. Story, William G. Farlow, Samuel H. Scudder, \ of Class II. David W. Cheever, William Everett, Martin Brimmer, \ of Class III. Edward J. Lowell, Rumford Committee. Wolcott Gibbs, Joseph Lovering, John Trowbridge, George B Clark, JosiAH P. Cooke, Erasmus D. Leavitt, Benjamin O. Peirce. Member of the Committee of Finance. Thomas T. Bouvj^. The following papers were presented by title : — On Electrical Oscillations or Waves. By John Trowbridge and W. C. Sabine. On the Spectroscopic Study of Electrical Waves. By John Trowbridge. On the Action of Nitric Acid upon Bromtrinitrophenylma- lonic Ester. By C. Loring Jackson and W, B. Bentley. On the Action of Sodic Alcoholates on Nitrotribrorabenzols. By C. Loring Jackson and W. H. Warren. OF ARTS AND SCIENCES. 329 Eight hundred and thirty-fourth Meeting. June 11, 1890. — Adjourned Annual Meeting. The Peesident in the chair. The report of the Council was read and accepted. The following report was read : — The Rumford Committee present the following brief report for the year ending with the annual meeting of 1890. 1. The Committee have had under consideration several applications for grants from the income of the Rumford Fund, to assist in meeting the expense of original investiga- tions relating to light or heat. They have acted favorably upon only one of these applications, and their report upon, it was approved by the Academy on October 5, 1889. 2. The Committee have also given much time to the dis- cussion of the relative claims of various suitable candidates for the Rumford Medal ; but they are not yet prepared to make any recommendation upon that subject. Respectfully submitted, Joseph Lovering, Chairman. June 11, 1890. The report of the committee appointed to consider a pro- posed change in the statutes as they affect annual asssess- ments was read and accepted. On the motion of the Corresponding Secretary it was Voted, That a committee, consisting of the Recording Secretary and Messrs. H. W. Williams and H. G. Denny, be appointed for the better ordering of the meetings of the Academy. Remarks upon the subject were made by Judge Nathaniel Holmes, Dr. Williams, and the Recording Secretary. The President appointed the following standing commit- tees : — Committee of Publication. JosiAH P. Cooke, William G. Faelow, John C. Ropes. 830 PROCEEDINGS OF THE AMERICAN ACADEMY Committee on the Library. Henry P. Bowditch, Amos E. Dolbear, Edward J. Lowell. Auditing Committee. Henry G. Denny, Thomas T. Bouv6. The following papers were presented by title : — On the Candle Power of Incandescent Lamps, as related to Current, Voltage, and Energy consumed. By Louis A. Ferguson and David A. Center. Notes on Zonaria variegata. By Herbert M. Richards. The Recording Secretary called the attention of the Acad- emy to the proposed monument to be erected at Genne- villiers, near Paris, to the memory of the celebrated sanita- rian, Alfred Durand-Claye. Professor Dolbear made a communication on Vortex Rings, and remarks on this subject were made bj^ Professor Story. Eight hundred and thirty-fifth Meeting. October 8, 1890. — Stated Meeting. The President in the chair. The Corresponding Secretary read a letter from the Presi- dent of the Academy of Natural Sciences at Catania, an- nouncing the death of Orazio Silvestri, Professor in the University of Catania ; also, a letter from the President of the Geographical Society of Berne,' announcing the approach- ing meeting of the International Geographical Congress of 1891. Sir William Bowman, Bart., of London, was elected a Foreign Honorary Member in Class II., Section 4, in place of the late Franz Cornells Donders. On the motion of the Treasurer it was Voted., That Section 2 of Chapter I. of the statutes be amended by substituting for it the following : — OF ARTS AND SCIENCES. 331 " 2. Fellows, resident in the State of Massachusetts, only, may vote at the meetings of the Academy. Each Resident Fellow shall pay an admission fee of ten dollars and, such annual assessment, not exceeding ten dollars as shall be voted by the Academy at each annual meeting." Voted, That the assessment for the current year be five dollars. The following papers were presented by title : — On the Composition of Certain Petroleum Oils and Refin- ing Residues. By Charles F. Mabery. The Analysis of Cupric Bromide, and the Atomic Weight of Copper. By Theodore W. Richards. The Effect of Electrical Oscillations on the Molecules of Iron. By John Trowbridge. A biographical notice of James Prescott Joule was read by Professor Dolbear. Eight hundred and thirty-sixth Meeting. November 12, 1890. — Monthly Meeting. The President in the chair. Mr. George B. Clark made a communication on telescope lenses. The following papers were presented by title : — On the Influence of the Strength of the Magnet in a Magneto Telephone Receiver. By Charles R. Cross and Harry E. Hayes. On Electrical Condensers. By Charles Nutt. Eight hundred and thirty-seventh Meeting. December 18, 1890. — Monthly Meeting. The President in the chair. The Corresponding Secretary read a letter from the Inter- national Congress of Ornithology, inviting the Academy to send delegates to its approaching meeting at Budapest in May, 1891 ; also, a letter from the American Chemical Soci- 332 PROCEEDINGS OF THE AMERICAN ACADEMY ety, giving notice of its next meeting, and inviting all chem- ists to be present. A paper by Dr. Oliver W. Huntington, entitled " A New Meteoric Iron from Stutsman County, South Dakota," was presented by title. A notice of the late Maria Mitchell, written by her brother, Henry Mitchell, was read by the Corresponding Secretary. Eight hundred and thirty-eighth Meeting. January 14, 1891. — Stated Meeting. The President in the chair. The Corresponding Secretary read a communication from the Massachusetts Historical Society, inviting the Academy to send two delegates to its Centennial Anniversary on Jan- uary 24, 1891 ; and it was Voted, To accept this invitation, and to appoint the Presi- dent and one Fellow of the Academy, to be selected by him, as delegates. The following gentlemen were elected members of the Academy : — Arthur Messinger Comey, of Somerville, to be a Resident Fellow in Class I., Section 3. Charles Edward Munroe, of Cambridge, to be a Resident Fellow in Class I., Section 3. John Ulric Nef, of Worcester, to be a Resident Fellow in Class I., Section 3. Theodore William Richards, of Cambridge, to be a Resi- dent Fellow in Class I., Section 3. Charles Robert Sanger, of Cambridge, to be a Resident Fellow in Class I., Section 3. The President, as chairman of the Rumford Committee, reported the recommendation of the Committee, that one hundred dollars be appropriated from the income of the Rumford Fund to assist Dr. E. H. Hall in his study of the periodic changes in the walls of a steam-boiler. Also, that two hundred dollars be appropriated from the OF ARTS AND SCIENCES. 333 same income to assist Professor B. O. Peirce in his investi- sration on the conduction of heat in the interior of sohd bodies. It was accordingly Voted, That the Treasurer be authorized to pay these ap- propriations from the income of the Rumford Fund. Voted, That the sum of two hundred dollars be appropri- ated to defray the expenses of the social meetings of the Academy for the present year. Professor Amos E. Dolbear read a paper on Electro-mag- netic Waves. Professor W. G. Farlow presented, by title, a paper by Roland Thaxter, entitled, " Supplementary Notes on North American Laboulbeniacese." I^ight hundred and thirty-ninth Meeting. February 11, 1891. ^Monthly Meeting. The President in the chair. The Corresponding Secretary read the following letters : from the National Society of Horticulture of France, invit- ing the Academy to send delegates to the Seventh Horti- cultural Congress, to be held at Paris in 1891 ; from the Secretary of the Society of Natural Sciences at Milan, an- nouncing the death of Professor Antonio Stoppani ; from Professor Charles E. Munroe, acknowledging his election as a Fellow of the Academy ; and from Mr. William C. Collar, resigning his Fellowship. Professor Mark presented, by title, " A Preliminary Notice on Budding in Bryozoa." Eight hundred and fortieth Meeting. March 11, 1891. — Stated Meeting. The President in the chair. In the absence of the Recording Secretary, Professor Haynes was appointed Secretary pro tern. 334 PROCEEDINGS OF THE AMERICAN ACADEMY The Corresponding Secretary announced the decease of members since the 29th of May, 1890, as follows : — Henry Jacob Bigelow, Charles Otis Boutelle, and William Prescott Dexter, Resident Fellows ; George Bancroft, John Charles Fremont, and Christian Henry Frederick Peters, Associate Fellows. The following correspondence was presented : a letter from the President of the Royal Academy of Sciences of Belgium, announcing the death of its Permanent Secretary, Jean Baptiste Joseph Liagre ; and a circular from the Com- mittee of Organization of the Fifth International Congress of Geologists, inviting the members of the Academy to attend the meeting of the Congress in Washington in August next. Professor Henry P. Bowditch brought to the attention of the Academy a circular, signed by numerous men of science, soliciting subscriptions for a marble bust and medal in commemoration of the seventieth birthday of Hermann von Helmholtz. Professor Farlow presented, by title, a paper by W. Albert Setchell, entitled, " Preliminary Notes on the Species of Doassansia, Cornu." Professor Dolbear gave an account of his researches to discover evidence of momentum from electrical action. Dr. William Everett spoke at length upon the deficiencies of elmentary text-books in secondary schools. Eight hundred and forty-first Meeting:. April 8, 1891. — Monthly Meeting. The Academy met at the Harvard Medical School, Boston. The President in the chair. The following papers were presented : — Demonstration of Electrical, Optical, and Mechanical Apparatus for Instruction and Research. By Henry P. Bowditch. On the Means of teaching Anatomy, illustrated by new Models and Specimens. By Thomas Dwight. OF ARTS AND SCIENCES. 335 The following papers were presented by title : — Contributions to American Botany: I. Additions to the Flora of Western North America. II. Descriptions of New Species of Plants collected in Mexico, chiefly by Mr. C. G. Pringle, in 1889 and 1890. By Sereno Watson. Contribution from the Herbarium of Harvard University : Descriptions of New Plants, chiefly Mexican Gatnopetalce, collected by Mr. 0. G. Pringle in 1889 and 1890. By B. L. Robinson. Eight hundred and forty-second Meeting* May 13, 1891. — Monthly Meeting. The President in the chair. The following papers were presented by title : — On some Theorems which connect together certain Line and Surface Integrals. By B. O. Peirce. On some Cases of Electrical Flow in Thin Conductors. By B. O. Peirce. The Quantitative Determination of Arsenic by the Marsh- Berzelius Method, especially as applied to the Analysis of Wall Papers and Fabrics. By Charles R. Sanger. On the Products obtained by the Action of Nitric Acid upon Bromtrinitrophenylmalonic Ester. By C. Loring Jack- son and W. B. Bentley. Note on Tribrommononitrobenzol. By C. Loring Jackson and W. B. Bentley. On the Structure and Development of Choreocolax Poly- siphonisB, Reinsch. By Herbert M. Richards. Professor Edwin H. Hall gave an exposition of his thermo- electric method for the study of cylinder condensation in steam-engines. The apparatus, provided for by an appropri- ation from the income of the Rumford Fund, was exhibited. i AMERICAN ACADEMY OF ARTS AND SCIENCES. Report op the Council. — Presented May 26, 1891. BIOGRAPHICAL NOTICES. Henry Jacob Bigelow By Oliver Wendell Holmes. Charles Otis Boutelle Edward Goodfellow. Alfred Hosmer Henry W. Williams. George Bancroft A. McFarland Davis. Julius Erasmus Hilgard O. H. Tittmann. Christian Heinrich Friedrich Pet kiss Arthur Searle. Charles John Maximowicz Sereno Watson. Karl Wilhelm von Naegeli .... William G. Farlow. Eduard Schonfeld Arthur Searle. Notices of William Prescott Dexter, John Charles Fremont, John Le Conte, and Joseph Leidy, must be deferred until the next volume. EEPORT OF THE COUNCIL. Since the last annual meeting, May 27, 1890, the Acad- emy has lost by death twelve members ; — viz. four Resident Fellows, Henry Jacob Bigelow, Charles Otis Boutelle, William Prescott Dexter, and Alfred Hosmer ; six Associate Fellows, George Bancroft, John Charles Fremont, Julius Erasmus Hilgard, John Le Conte, Joseph Leidy, and Christian Heiu- rich Friedrich Peters ; and three Foreign Honorary Members, Charles John Maximowicz, Karl Wilhelm von Naegeli, and Eduard Schonfeld. RESIDENT FELLOWS. HENRY JACOB BIGELOW. Henry Jacob Bigelow was born in Boston, March 11, 1818, and died in Newton, Mass., October 30, 1890. He was the oldest of five children of Jacob and Mary (Scollay) Bigelow. His father was distinofuished in various branches of science and literature ; he was a former President of the Massachusetts Medical Society, and a Presi- dent of tliis Academy ; a man of great ability, a leading practitioner in Boston during his long life, and especially memorable as the founder of Mount Auburn, the earliest of our garden cemeteries. His son inherited many of his father's qualities. After attending Mr. Thayer's school, which he entered in 1826, he joined the Latin School, then under the charge of Mr. Leverett. When Mr. Leverett left the Latin School and established one of his own, he followed his instruc- tor, having: amonor |,is schoolmates William M. Evarts and William W. Greenough. He entered Harvard College in 1833, graduating in 1837. "If he does not become a distinguished man," Dr. James Jackson is reported to have said of him, " it will be because Boston is not a large enough field for his ability." Mr. Henry Lee writes an interesting account of the early years he and Henry Bigelow passed together, from the age of three until Mr. Lee left to go to college, a year before his companion. He describes his young friend as a slender boy, lithe and active, a good gymnast and dancer, and full of contrivances and ideas of all sorts. He had a 340 HENRY JACOB BIGELOW. rather remarkable facility for mechanical work, — took early to shoot- ing, a taste which lasted to the later years of liis life ; he was also foud of bird's-nesting, with the usual knowledge, or rather more, of birds and their haunts and habits ; like his father, he had a taste for botany, which came agaiu very strongly in his later years. He was a fair thouoh not remarkable scholar, through school and colleofe. He early showed his independence of character. There was a rebellion while he was in college, and anxious parents went out to look after their sons, — among them Dr. Jacob Bigelow, who remon- strated with Henry. The latter reminded him that there was a re- bellion in his own day. '• Yes," said his father, " but I have seen the folly of it." " Well, I want to see the folly of it too," was Henry's (characteristic) answer. He graduated with respectable rank in 1837. After leaving college he had threatening symptoms of pulmonary disease, for which he went to Havana ; but he was able to continue the study of medicine which he had already commenced, in the prosecution of which he went to Europe, passing his time chiefly in Paris, visiting London, more es- pecially to hear the lectures of Sir James Paget. He took his med- ical degree at Harvard University in 1841, and entered upon practice in Boston. He had determined to devote himself to surgery, and soon found himself in active business. In connection with Dr. Henry Bryant, he established a kind of surgical dispensary, which was the subject of no little comment and some harmless satire from unknown rivals, which amused him and his friends as much as it did any of the medical community. He soon became known as an enterprising and aspiring practi- tioner, who was mapping out his own path, deterred by no fear of rivals, and not afraid of his critics. First on the list of Dr. Bigelow's publi>hed writings stands a "Manual of Orthopedic Surgery," being a Boylston Prize Disser- tation for the year 1844. The Boylston Prize Fund was provided by the generosity of Ward Nicholas Boylston, a Boston merchant. Its two annual prizes of fifty dollars each invited the competition of the younger members of the medical profession, and the gaining of them was a favorable intro- duction of the young practitioner to the medical world and the gen- eral public. The question, or one of the questions, for the year 1844 was the following : " In what cases, and to what extent, is the division of muscles, tendons, or other parts, proper for the relief of deformity or lameness ? " Dr. Bigelow did not confine himself HENRY JACOli BIGELOW. 341 strictly witliiii the limits of the question, but extended his labor until it took the form of tlie Manual above mentioned, au octavo volume of more than two hundred pages. This was a systematic and lucid treatise, far beyond the ordinary standard of the annual dissertations in scope and completeness. For more than thirty years — from 1849 to 1882 — he was Pro- fessor of Surgery in the Medical School of Hai'vard University. In 1847 he was appointed one of the surgeons to the Massachusetts Gen- eral Hospital. During all this active period of his life, he published many important papers, bearing more especially upon, but not con- fined to, surgical practice. The following list is furnished by Dr. R. H. Fitz, at the close of his tribute to Dr. Bigelow at the me- morial meeting of the Society for Medical Improvement. A List of some of the more importatit of Dr. Bif/elow's Contributions to Medical Literature. Manual of Orthopedic Surgery. Boylston Prize Dissertation. 1845. Fragments of Medical Science and Art. An Address delivered before the BoyLston Medical Society. 1818. Insensibility during Surgical Operations produced by Inhalation. Boston Medical and Surgical Journal. 1816. On a New Physical Sign, a Clicking in the Throat. Boston Medical and Surgical Journal. 1817. Anaesthetic Agents, their Mode of Exhibition and Physiological Effects. Transactions of American Medical Association. 1818. Ether and Chloroform: a Compendium of their History, Surgical Use, Dangers, and Discovery. 1848. On the Employment of a New Agent in the Treatment of Stricture of the Urethra. Boston Medical and Surgical Journal. 1849. An Introductory Lecture. 1849. Dr. Hallow's Case of Crowbar Injury to the Head. Philadelphia Medical Journal. 1850. Notes from Clinical Lectures on Surgery. 1851. Science and Success. A Valedictory Address. 1859. Surgical Cases and Comments. Boston Medical and Surgical Journal. 1804. Rhigolene, a Petroleum Naphtha for producing Anaesthesia by Freezing. Boston Medical and Snrgical Journal. 1866. New and Successful Operation for Ununited Fractures, with Cases. Bos- ton Medical and Surgical Journal. 1867. Nitrous Oxide Gas for Snrgical Purposes in 1848. Boston Medical and Surgical Journal. 1868. The Mechanism of Dislocation and Fracture of the Hip. Boston. 1869. 842 HENRY JACOB BIGELOW. Medical Education in America. Address before the Massachusetts Medi- cal Society. 1871. Death by Chloroform and alleged Death by Ether. Boston Medical and Surgical Journal. 1872. Alleged Death from Ether. Letter to the Editor of the British Medical Journal. Boston Medical and Surgical Journal. 1873. Turbinated Corpora Cavernosa. Boston Medical and Surgical Journal. 1875. The True Neck of the Femur: its Structure and Pathology. Boston Med- ical and Surgical Journal. 1875. A History of the Discovery of Modern Ansesthesia: a Century of Ameri- can Medicine. Philadelphia. 1876. New Methods and Treatment of Extrophy of the Bladder and Erectile Tumors. Boston INledical and Surgical Journal. 1876. Lithotrity by a Single Operation. American Journal of Medical Sciences. 1878. Boston Medical and Surgical Journal. 1878. Rapid Lithotrity with Evacuation. 1878. Litholapaxy. New York Medical Record. 1879. Litholapaxy. Boston Medical and Surgical Journal. 1879. Litholapaxy. Letter to the London Lancet. Boston Medical and Sur- gical Journal. 1879. Litholapaxy : an Improved Evacuator. Boston Medical and Surgical Journal. 1880. The Code of Ethics adopted by the Massachusetts ^ledical Society. A Minority Report. Boston Medical and Surgical Journal. 1880. Remarks on Modern Lithotrity. Lancet. 1881. Radical Cure of Umbilical Hernia. Boston Medical and Surgical Journal. 1882. A Case of Disease of the Liver. 1882. Lithotrity with Evacuation. 1882. A Simplified Evacuator for Litholapaxy. Boston IMedical and Surgical Journal. 1883. A Radical Cure for Umbilical Hernia. Boston Medical and Surgical Journal. 1889. Fees in Hospitals. Boston Medical and Surgical Journal. 1889. An Old Portrait of a Surgeon. Boston Medical and Surgical Journal. 1889. The second publication on the list is entitled " Fragments of Medi- cal Science and Art." Under this head is printed " An Address delivered in 1846," The great aim' of this essay is to show the importance of the imagination in science. The " Numerical Method " of Louis was at that time looked up to, by the more ardent disciples of that admirable observer and teacher, as the master-key which was to unlock all the HENRY JACOB BIGELOW, 343 secrets of disease and its remedies. Observe all the facts in a case, in a hundred or a thousand cases ; tabulate them, add, subtract, mul- tiply, divide them, and the laws of pathology and therapeutics will come out in your sums and quotients as inevitably as a clerk's balance at the end of his account-book. Dr. Elisha Bartlett's " Philosophy of Medical Science," published in 1844, presented the Numerical Method in a form which might be thought to exclude the imaginative element, and reduce the man of science to a mere statistician. Dr. Bigelow's essay was a vindication of the true office and the importance of hypothesis. To illustrate his argument, he appealed to the history of great discoverers and inventors, of Copernicus, of Kep- ler, of Newton. "I am aware," he says, "that this position, namely, that hypothesis is essential to the discovery of scientific truth, is not recognized by many philosophers, especially in medical science of the present day. Bacon himself, feeling that unfounded theory, gratui- tous assertion, had been a stumbling-block to all preceding science, was led to attaching too exclusive value to facts. ' We must not imagine or invent,' he says, ' but discover the acts and properties of nature.'" In the face of Bacon's proposition, in the presence of the chimpl- ons of the statistical school of observers. Dr. Bigelow maintained effectively and convincingly the true office of that higher faculty, which, instead of counting columns of figures, sees, in virtue of its special gift of insight, the hidden relations between a few facts re- mote from one another to all appearance, but which, connected by an hypothesis, are often verified by large observation, and become a part of accepted knowledge or true science. It was not so much the originality of the thesis maintained by Dr. Bigelow as the reasonable and forcible method by which he expounded and illustrated it, and the peculiar fitness of his choice of a subject at that particular time. He knew when to strike, as well as how to strike. One of the most distinguished of our Boston practitioners said to me that he almost regretted Dr. Bigelow's having given so much time to special practical points, instead of applying himself to the larger prob- lems of medical philosophy. I would not go so far as that, remem- bering how much he accomplished in the improvement of mechanical surgery, and the amount of human suffering which his inventive ge- nius has relieved ; but, after reading this essay, one may be pardoned for regretting that so good a thinker and reasoner was willing to allow his skilful handiwork to usurp so large a po^-tion of his time and labor. 344 HENRY JACOB BIGELOW. Had Dr. Bi'tfelow left no other record, the association of his name with the great inventive discovery of artificial anaesthesia would preserve his memory to the latest period of civilizatiou. On the evening of November 2, 1846, he called at my house in Charles Street with a j^aper which he proposed reading at the meeting of tiie American Academy of Arts and Sciences, to be htld the next day, and which he wished me to hear. He began by telling me of the successful use of the inhalation of a gas or vapor which pro- duced insensibility, during which a capital operation had been per- formed at the Massachusetts General Hospital. He was in a state of excitement as he spoke of the great discovery that the gravest oper- ations could be performed without the patient's knowing anything about it until it was all over. In a fortniglit, the news of this won- deiful discover}-, he said, will be all over Europe. He then proceeded to read to me the paper he had prepared, — the first formal presenta- tion of the subject to the scientific world. The following is the official report, copied from the records of the Academy: — "November 3d, 1846. " Dr. Henry J. Bigelow read a paper giving some account of the new method of inhalation employed by Dr. Morton of this city to produce in- sensibility to pain during the performance of operations by the dentist and the surgeon." No person took hold of Dr. Morton's discovery with such far-see- ing, almost prophetic appreciation as the young surgeon who had been but a few years in practice, and who threw all the energy and ardor of his early manhood into his advocacy of the new and startling in- novation which was destined to change the whole aspect of surgery. It was not merely by his sagacious foresight that he recognized the importance of this epoch-making novelty, but throughout its subse- quent history, until its universal acceptance, he was the foremost champion of the claims of artificial aniBsthesia. After the use of chloroform was introduced Dr. Bigelow remained faithful to the origi- nal anassthetic agent, and was always ready to battle in the cause of ether as against chloroform, which, though more convenient, and in many cases useful, is a more dangerous agent than the other. His writings on this subject extend through a period of thirty years, from 1846 to 1876. In the year 1850 Dr. Bigelow published a remarkable article on a case which may be considered on the whole as the most extraordinary in the anuals of surgical injury. This was the famous "crowbar HENRY JACOB BIGELOW. 345 case," the account of which seemed to many incredihle, and its mech- anism beyond exphmatiou. The story was briefly this. A man was ramming down a charge of powder in a hole drilled in a rock, when the charge exploded, and the tamping iron — a short rouud bar — was driven up through the side of his face, out at the top of his head, breaking upward through the top of his skull as if it had been pie-crust, .^hooting up into the air, and falling at some distauce. Dr. Bigelow accepted the story as true, and undertook to show how the bai" could have found its way up and out through the bones of the face and skull, traversing the brain, and cutting one of the optic nerves on its way. He prepared a skull to illustrate the course taken by the implement. The subject of this extraordinary accident lived many years, but an opportunity was found to inspect the injured parts after death, and Dr. Bigelow's explanation of the accident was fully confirmed. In the midst of his scientific researches Dr. Bigelow never forgot the practical aim and end of the healing art. Pie cared quite as much for '' common sense" in a medical man as he did for scientific acquire- ments ; indeed, he rather undervalued pure science as compared with practical skill. His lectures are eminently practical, and most of his scientific researches tend to some important curative purpose. No man knew better than he what were the needs, and what should be the training, of the young practitioner who would make his way m the world ; and his Lecture on " Science and Success " gives some of the best results of his wise experience. In 1.S69 he published his essay, " The Mechanism of Dislocation and Fracture of the Hip." This subject had been long and diligently studied by the great surgeons of tlie past, more especially by Sir Astley Cooper. Dr. Bigelow threw new light upon the whole mat- ter. I have requested Dr. Richard M. Hodges, who knew the his- tory of Dr. Bigelow's researches more intimately than any other of his pupils and assistants, to make a brief statement of the leading points of his doctrine and practice in dislocations of the hip. The following is his answer to my request : — " Hip Dislocations. — A\iho\xgh Winslow and Weitbrecht had de- scribed the two fasciculi of the ilio-femoral ligament, or ligament of Bertin, Dr. Bigelow first drew attention to the great strength of the anterior part of the capsule of the hipjoint, and defined with preci- sion the two bands of the abovenamed ligament, diverging like the branches of an inverted Y. " Dr. Bisrelow showed that, so long as it remained unbroken in one 346 HENRY JACOB BIGELOW. or both of its branches, the Y ligament dominated all the dislocations of the hip joint with established features, and that it was the chief obstacle to reduction ; the muscles playing only a subordinate and occasional part in giving position to the limb, or in hindering the reduction. " Dr. Bigelow classified dislocations of the hip into regular and irregular. "The regular dislocations, seven in number (four of them being new varieties), are those in which, one or both branches of the Y liga- ment being unbroken, the head of the femur is thereby held near the acetabulum, and their signs are constant. " The irregular dislocations are those in which the Y ligament is wholly ruptured, and they therefore offer no constant signs. The head of the femur, being loosed from the acetabulum, is free to go anywhere. " In the regular dislocations, manipulation of the Y ligament will alone effect reduction. *' The principle of this manipulation is flexion, which is efficient because it relaxes the Y ligament. " The Y ligament being flexed, and therefore relaxed, the head of the femur is drawn or forced into the desired direction by ' traction,' which disengages it from behind the acetabulum and directs it toward the socket, — or by ' rotation,' which winds the Y ligament around the neck of the bone and so shortens it, thus compelling the head of the femur, as it sweeps around the acetabulum, also to approach the socket, into which it can be easily lifted. " Dr. Bigelow converted random, ill devised, and fruitless move- ments into accurately conceived, instructed, and well directed manip- ulation," Growing out of his investigations of this subject was his original study of the anatomical neck of the femur. By a series of parallel sections through the head and neck of the bone, he demonstrated the column or lamina of condensed bone in the midst of the cancellated tissue forming a line of support rendered necessary by the obliquity of the neck of the bone. In 1878 Dr. Bigelow published his essay, " Lithotrity by a Single Operation," of which Dr. Hodges speaks as follows : — ^^Rapid Lithotrily with Evacuatio7i at a slnrjh sitting ; or Lithola- faxy. — The normal urethra having been shown to admit instruments of greater size than surgeons had previously supposed possible, Dr. Bigelow constructed a lithotrite, improved in many of its details, HENRY JACOB BIGELOW. 347 (especially by devices which prevent the blades from clogging or be- coming impacted with crushed material,) of a size much larger than had before been used. This permitted the attack of calculi exceeding in dimensions the limits previously thought allowable by crushing alone, i. e. without evacuation. " Dr. Bigelow also constructed thin silver tubes, easy to be intro- duced, notwithstanding their large size (27-31 Charriere), through which evacuation of the crushed stone was made practicable by means of an elastic exhausting bulb of sufficient suction power to draw out the fragments previously comminuted to a size enabling them to enter and pass through the tube, — pulverization being no longer essential. " Dr. Bigelow established the fact that with these instruments a sitting — two minutes having been, up to that time, assigned by Sir Henry Thompson as the proper average duration — could be pro- longed, with the aid of anaesthesia, one to two hours, harmlessly for the patient and without detriment to the bladder. ' Lithotrity with a single sitting ' has been shown to have a mortality less than that of ' Lithotrity with many sittings,' and it has entirely superseded the latter. " The operation of Litholapaxy, at first supposed applicable only to adults, has been within the last few years extended in its use to chil- dren from two years of age upwards, with great success. They have never been supposed to come within the scope of old-fashioned litho- trity. This practice, adopted originally in India (Lihore), has latterly been introduced in England and America. " Dr. Bigelow's invention may justly be said to have acquired a world-wide reputation." I add a few words to this description by Dr. Hodges. He was led to think that a principal source of failure in that operation was the irri- tating effect of the fragments of stone allowed to remain in the bladder, which left it inflamed and sensitive, not in condition to be the subject of a second or third operation. If the bladder could be completely cleared at one sitting, this danger could be avoided. To effect this object, he designed new instruments, or modified such as were in use, so as to make them serve his purpose. He spared no pains in per- fecting his apparatus. It is not to be supposed that his surgical inno- vations were at once accepted without question or opposition. The end of it all was, that his principal rival in the treatment of calculus, Sir Henry Thompson, became a convert to Dr. Bigelow's mode of dealing with stone in the bladder, and that this new m'^thod of opera- 348 HENRY JACOB BIGELOW. tion is generally recognized as one of the great improvements of modern surgery. I myself bad the opportunity of observing some of his experiments, and well remember the patient and persevering labor they involved. I recollect, more especially, the pains he took in getting plaster casts of the bladder and the urethra, and I learn from others that he bestowed the same care upon the instruments he contrived or adapted for the rapid removal of a calculus, by the me- thod to which he gave the name of Litholapaxy. Among Dr. Bigelow's other professional labors, I may mention his suggestion of a new refrigerant for producing local anfcsthesia. This was brought forward in an article published in the Boston Medical and Surgical Journal, in 1866, under the title, " Rhigolene, a Petroleum iVaphtha for producing Anaesthesia by Freezing." ^ A new anatomical observation was published by Dr. Bigelow in the same journal, in the year 1875, "• Turbinated Corpora Cavernosa." The anatomical expert will recognize at once the analogy hinted at in this designation. The suddenness with which the air passage through the nostrils will become obstructed, and the equal suddenness with which it will be cleared, without the removal of any secretion, might well suggest the idea that some kind of erectile tissue was concerned in this familiar phenomenon. Dr. Bigelow examined the mucous membrane, and detected a spongy tissue with large cells, capable of being rapidly filled with l)lood and as rapidly emptied, — a structure resembling that of the corpora cavernosa, as the name he gave it im- })lies. This is one of the ver}'^ few additions to human descriptive anatomy which have been made in this country. Dr. Bigelow was not a collector of books, nor a great reader. He opened a book as he would open a jackknife, to use it for some special purpose, which having accomplished, he shut it up and had done with it. I may be allowed to quote my own words, as they stand in the report of the memorial meeting held shortly after his decease by the Boston Society for Medical Improvement : — " He read men and women as great scholars read books. Pie took life at first hand, and not filtered tlirough alphabets. He was not ashamed of his want of erudition, and would ask questions on matters with which he was unacquainted with the simplicity of a child. l>ut he would get what he wanted out of a book as dexterously, as neatly, as quickly, as a rodent will get the meat of a nut out of its shell. In the address before spoken of, on the use of imagination in science, he handled his rapidly acquired knowledge of the great authors he cited so like an adept in book lore that one might have thought he was HENRY JACOB BIGELOW. 349 born iQ an alcove and cradled on a book-shelf. He got what he wanted out of his authority, and the next day the volume he had evis- cerated would be kicking about his floor, in the midst of the pam- phlets, instruments, and all sorts of learned litter, which half covered his carpet. This power of finding what he wanted in the midst of rubbish he did not want, was hereditary. I remember Dr. James Jackson's saying to me, that, if there was a grain of wheat in a bushel of chaff. Dr. Jacob Bigelow would lind it quicker than any man he ever knew." Though Dr. Bigelow was not as much given to general reading as many less occupied professional men, it is not to be supposed that his active mind could fail to find subjects enough to interest it when not absorbed in some important investigation. He had many tastes and fancies which furnished him abundance of pleasant work, and called forth all his enthusiasm, each special pursuit in its turn. To this one object, whatever it might be, he gave himself enthusiastically for the time. When he had mastered all its details, when he had got at all its secrets, he left it for some new and inviting subject. At one time he undertook the keeping and raising of fancy pig- eons. For this purpose he established a columbarium at the top of his house in Chauncy Place, and showed his fantails and pouters, and other curious varieties, with great satisfaction, until he had learned their ways and become familiarly acquainted with their various graces and accomplishments. At another time his visitor would be startled by a most unceremonious address from a mino bird, to which he had taught certain phrases which could not fail to arrest the attention of his visitor. Another of his pets was a little bird which used to run up his sleeve in the most uncanny way. Between these two familiar spirits, he might well have been hanged as a wizard in the days of witchcraft. At another time he amused himself with the study of the ways of ants, placing the sand for their dwelling between two plates of glass, so that their operations could be observed. Again, he found his recreation in the royal handicraft of the locksmith, and studied the intricate contrivances of Bramah and Hobbs as he has studied the arrangements of the hip joint. With this fondness for animal life it is not strange that he held in great aversion the too frequent abuse of vivisection. I have often heard him express himself very strongly on this subject. I think his longest and strongest fancy was for paintings. He did not care to refer to the fact that he was color-blind, so far as the difference between red and green was con- cerned. When he was a boy he could not distinguish between the 350 HENRY JACOB BIGELOW. color of cherries and that of the leaves of the tree. Still, he had a passion for a picture, and spoke with enthusiasm of the color of some that pleased hiiu. A bright patch on an old canvas attracted him in a moment ; he would wet his finger and rub off the dust as eagerly as a gold-hunter explores a pebble with shining yellow particles scattered through it. He bought a good many pictures, and it was generally for their color, rather than for any other excellences, so fur as my observation has gone. Another of his hobbies, if I may call them so, was the study of agates. He made a large collection of them, and examined some points of their internal formation with great interest. Dr. Bigelow was not in the habit of speaking of his health, but he suffered at various times from symptoms of different kinds. The earlier pulmonary symptoms, which have been referred to, do not appear to have troubled him after the period of early manhood. A few years before his death he was thrown from a vehicle, and received a blow on the head, which was followed by what seemed to be an inflammation of some of the membranes of the brain, leading to what he thought and what proved to be some thickening of the dura mater. His fatal illness seemed to be entirely disconnected with the injury referred to. Occasional passages of gall stones, inflammation of the bile ducts extending to the liver, and producing abscesses, with other marks of internal inflammation, inability to take food without extreme suffeiing, ended in gradual faiUire of bodily strength, the mind remaining bright and clear to very near the close of life. It was noted, in examination of the brain, that its convolutions presented an unusual complexity, suggesting a greater amount of vesicular matter than is common. Dr. Bigelow wrote upon vai'ious important subjects of a more gen- eral nature. In 1871 he delivered an address upon medical education in America, before the Massachusetts Medical Society. In 1880 he wrote a minority rejiort upon the code of ethics adopted by the Medi- cal Society ; and in 1889, an article upon fees in hospitals, in which he took strong ground against certain practices alleged to have grown up in some of these institutions. The last paper on the list of his works is entitled, "An Old Portrait of a Surgeon." A painting was presented many years ago to the Society for Medical Improvement, supposed to be a portrait of the great surgeon, Ambroise Fare. The truth of this supposition had been questioned, and remained undecided for thirty or forty years, when Dr. Bigelow thou<;]it it was time to settle it authoritatively. For this purpose he instituted the most search- CHARLES OTIS BOUTKLLE. 351 ing inquiry ; had photographs taken of numerous portraits bearing on the (juestion ; carried on a correspondence with experts in Euroi)e ; and linally established beyond doubt tlie fact that the portrait was not of Ambroise Pare, but of another practitioner of a certain reputa- tion, but by no means so great a name as the illustrious surgeon's of whom it had been thought to be a likeness. Dr. Bigelow was, unquestionably, a man of true genius. Sagacity in divining the truth ; the power of continuous, patient, and searching investigation ; inexorable determination to have the truth, if nature could be forced to yield it, characterized his powerful intelligence. The record of his printed publications is not a very long one, but it is weighty with original thought and practical discovery. He inherited a distinguished name, and his labors have rendered it memorable «nd illustrious, — one of the brightest in the annals of American surgery, — not to claim for it a still higher place in the history of the healing art. Dr. Bigelow was married in 1847 to Susan, daughter of the Hon. William Sturgis. She died on June 9, 1853. One son, William Sturgis Bigelow, survives his parents. CHARLES OTIS BOUTELLE. Charles Otis Boutelle was born in Lexington, Massachusetts, August 4, 1813. His grandfather was an officer who served hon- orably throughout the Kevolutionary War. His father, a skilful physician and a man of brave and earnest temperament, was a sur- geon in the Navy during the war of 1812. His mother, a daughter of General Nathaniel Goodwin, of Plymouth, who served also dur- ing that war, was a woman loved and revered by all who knew her. She lived to nearly the age of one hundred, and her son never ceased to mourn her loss. With such ancestry, many features of Mr. Boutelle's character can be traced to their source. Having while yet at an early age lost his father, he w^as educated by his uncle, the Peverend Ezra Shaw Goodwin, of Sandwich, Massachusetts, and received from him a thorough training in both the classics and mathematics. It soon became necessary for him to earn his own living; so he taught school, studied surveying, and one day, having heard that a friend who owned a Avork on that subject was willing to lend it to him, he walked twenty miles to get it. His skill in practical surveying soon became known, and a place was given to him on the survey of his native State by its director, Simeon Borden. 352 CHARLES OTIS BOUTELLE. Having served creditably as Mr. Borden's chief assistant, he was appointed by Alexander Dallas Bache, Superintendent of the U. S. Coast Survey, to a position upon that work, in January, 1844. His service was at first in the office, but his active temperament and robust physique demanded less sedentary occupation, and his spe- cial capabilities for the field were quickly recognized by his distin- guished chief. His advancement was rapid. In 1846 he was made an assistant in the Survey, and from that time forward gained steadily in standing on the work, being intrusted with the charge of important operations, which he conducted with his accustomed energy, and with the professional skill and fertility of resource always at his command. For some years he carried on the reconnoissance for the primary triangulation upon the coast of Maine. He made the reconnois- sance and selection of sites for three primary base-lines, and had personal charge of the measurement of a primary base-line (the Atlanta base) in Georgia. This measurement was three times repeated as a test of accuracy, the line being measured twice in winter and once in summer, with an accordance of results so close that the greatest divergence did not exceed a millionth part of the whole length of nearly six miles. He conducted the pri- mary triangulation which was carried from the Atlanta base north- ward and northwestward along the Blue Ridge, to connect with the primary triangulation which was advancing southward and south- westward from the Kent Island base, and had charge of the sur- veys upon the coasts of South Carolina and Georgia. During this period the bent of his mind was shown by the im- provements he introduced into the methods and processes of the work; among these may be mentioned the form of preliminary base apparatus described in the Coast Survey Report for 1855; his form of tripod and scaffold observing signal, 1855; his experiments with lights for geodetic night signals, carried on for several years, and brought to a successful termination in 1880 by the adoption of the magnesium lights and the student-lamp reflectors. In 1884 the charge of the Coast and Geodetic Survey office was assigned to him, and after his relief from that duty he was placed in immediate supervision of geodetic operations in the States which had organized their own geological and topographical surveys. For a number of years he was a member of the board of commis- sioners for tlie improvement of the harbor of Norfolk. On February 16, 1884, soon after taking up his residence in CHARLES OTIS BOUTELLE. 353 this city, he was elected a menibor of the Philosophical Society of Washington. No notice of Mr. Boutelle's life would be complete that should omit reference to the important services which he rendered to his country at a critical period of its history. In common with the great majority of his brother officers assigned to duty with the military and naval forces, he participated in the hardships and dangers of the civil war. Soon after the outbreak of hostilities he was assigned to the command of the steamer Vixen and schooner Arago, as hydrographic officer of the South Atlantic Squadron, serving under Admirals Dupont and Dahlgren, and Commodore Lanman, U. S. N. This duty lasted throughout the, war, and it devolved upon him the responsibility for the safetj'' of naviga- tion of the squadron along its entire cruising ground. With what patriotic devotion and professional ability this service was rendered, the records of the civil war amply attest. Admiral Dupont, in his report to the Navy Department of the capture of Port Royal, refers to the fact that all aids to navigation had been removed by order of the Confederate authorities, and ac- knowledges the able assistance of Captain Boutelle in sounding out and buoying the channel, and thus enabling the squadron to advance to the attack. General W. T. Sherman, U. S. Army, commanding the land expeditionary force, concludes a report, dated November 8, 1861, as follows: ''It is my duty to report the valuable services of Mr, Boutelle, assistant in the Coast Survey. . . . His services are in- valuable to the army as well as to the navy, and I earnestly recom- mend that important notice be taken of this very able and scientific officer by the War Department." Personally, Captain Boutelle (as he was known to his friends after the civil war) was a man of varied reading and a most reten- tive memory, genial and witty in conversation, of uniform kindness of heart, and of a generous and hospitable nature, always assuming that others were guided by motives as unselfish as his own. He combated manfully the advances of age and the inroads of disease, and it was not until the approach of his seventy-eighth year that, yielding to the solicitations of his family and friends, he sought relief from active duty. He died on the 22d of June, 1890, at the home of his son. Dr. Boutelle, in Hampton, Virginia. VOL. XXVI. (n. 8. xviii.) 23 354 ALFRED HOSMER. ALFRED HOSMER. Alfred Hosmer, of Watertown, Massachusetts, a Fellow of the Academy from 1879, was born at Newton, September 11, 1821, but removed with his mother to Walpole, New Hampshire, when nine years of age. Notwithstanding the limited opportunities for educa- tion afforded by a small country town, he qualified himself for ad- mission to Harvard College, where he graduated with honor in 1853, and received his degree of M. D. in 1856. He spent nearly a year of study in Europe before beginning the practice of his profession at Watertown, where he soon gained reputation as a worthy successor -of his uncle, Dr. Hiram Hosmer, a physician and surgeon of great rejKite. From this time until his last illness he enjoyed in an exceptionally high degree the confidence of the community in his own and the neighboring towns, and won the re- spect of his confreres by his untiring energy, accurate observation, sound judgment, fertility of resources, and unswerving fidelity to every duty. Soon after his establishment at Watertown he married Helen Augusta, daughter of Josiah Stickney, Esq., and she, a daughter, and a son survive him. Dr. Hosmer's published papers were marked by originality and independence, by alertness in discerning the presence of unusual features in disease, and readiness and good judgment in the adap- tation of suitable means to the existing circumstances. Dr. Hosmer was President of the Middlesex South District Medical Society; President of the Boston Obstetrical Society; and for many years a Councillor of the Massachusetts Medical Society, and was its President in 1882 and 1883. Exceptionally brilliant as was Dr. Hosmer's professional career, this by no means included all of his public service. His vigorous activity and faithfulness were conspicuous iu the affairs of citizen- ship, as well as in the duties of his chosen vocation. Among the offices of honor and trust to which he was for many years re-elected b}' his fellow-townsmen, he was a member of the School Commit- tee, Trustee of the Public Library, Trustee and President of the Savings Bank, and President of the Watertown Historical Society. He was for many years surgeon of the United States Arsenal at Watertown. Through the influence of the Massachusetts Medical Society, the Legislature of the State, during the administration of Governor GEORGE BANCROFT. 355 Rice, abolished the corrupt and inefficient coroners' system, and substituted therefor a carefully selected corps of skilled medical examiners, appointed by the Governor for a long term, and, hap- pily, continued in office in most instances by reappointment; so that the State, the judicial authorities, and the people retain the advantage of experience as well as of ability in these chosen experts. No event in our time has contributed so largely to the honor of medicine and to the safety of the community as the crea- tion of this body of skilled and trained officials, which has worked so intelligently and faithfully for the promotion of justice in the protection of the innocent and the disclosure of guilt. Great credit was due the Governor for his just appreciation of the im- portance of the proposed innovation, and for his judicious selection of the appointees, on which its success would so largely dej^end. Dr. Hosmer was appointed Medical Examiner for the District of Middlesex County, in which he resided ; and upon the organiza- tion of the Massachusetts Medical Legal Society, composed of the seventy or more Examiners of the Districts of the Commonwealth, he was elected its first President, and by his zeal and executive ability greatly promoted the triumphant issue of this eventful experiment. Thanks to the high character and talents of Dr. Hosmer and his associate examiners, Legal Medicine has been re- created in Massachusetts, and the new system has been adopted in other States, as a long desired efficient auxiliary of public justice. On the 29th of December, 1888, in returning from professional visits. Dr. Hosmer had an attack of cerebral hemorrhage. From this he largely recovered, although he continued to have some dis- ability to find the desired words when conversing; but on May 14, 1891, after a few days' illness, he suddenly expired from rupture of the thoracic aorta, which, as well as the entire arterial system, was found at the autopsy to be extensively degenerated. ASSOCIATE FELLOWS. GEORGE BANCROFT. George Bancroft was born at Worcester, October 3, 1800. He was the son of Aaron and Lucretia (Chandler) Bancroft. His father was the leading clergyman of the Unitarian denomination 356 GEORGE BANCROFT. in Central Massachusetts; was honored with the degree of D.D. by his Alma Mater, Harvard College; was the author of a standard Life of Washington which has been republished in England and has also been recently reprinted in this country in popular form; was Vice-President of the American Antiquarian Society for many years; was President of the American Unitarian Association from its organization in 1825 to 1836; and was a Fellow of the American Academy of Arts and Sciences. His mother was a daughter of Judge John Chandler, and was a recognized leader among the wo- men of the little town in which her lot was cast. Her time during married life was engrossed in the care of a large family of children, who were reared in a manner suited to their social position, with no other income ordinarily at command than her husband's salary as a country clergyman, eked out by such increase as could be obtained from teaching the children of parishioners. The lesson of George Bancroft's boyhood was that he must rely for his future support upon himself alone. A sister of Mr. Bancroft married John Davis, the greater part of whose life was spent in public service, as Governor of Massachu- setts, E,epresentative in Congress, or United States Senator. A nephew, J. C. Bancroft Davis, succeeded Mr. Bancroft at the Ger- man Embassy. The present Chief Justice of the United States finds a common ancestor with Mr. Bancoft, one generation back of the historian's father. It was Dr. Bancroft's earnest desire that his son should adopt his own profession ; and, in preparation for that career, George was sent to Harvard College, where he graduated in 1817, second in his class. The opportunity was then offered him to complete his studies in Europe at the expense of the College. Of this he gladly availed himself, and the next five years of his life were spent in study and travel in Europe. He studied at Gottingen and Berlin, taking the degree of Ph.D. at Gottingen before he was twenty years of age. This period of his life was rich in friendships of distinguished men belonging to a generation now passed away. It was fraught with benefits to him in his future career. The familiarity with the German language which he then gained was of incalculable ser- vice to him, both in his diplomatic and in his literary labors. The philosophic cast of his studies somewhat influenced his methods of thought, and found sufficient expression in his writings for his critics to charge him with mj^sticism. Yet their tendency was to GEORGE BANCROFT. 357 raise his strong, nervous personality above the plane of prejudice, and to help him to measure events upon a just standard. The estimate in which he was then held may he judged by the language in which Humboldt introduced him to Pictet. Bancroft was de- scribed by Humboldt as a "young American, who has made an excellent study of philosophy and philosophic history in Germany." His reception at this time by prominent men in the world of Euro- pean letters doubtless inspired in him the confidence which was required when, a few j^ears later, he concluded to undertake what was to prove the work of his life. The privilege of study in Europe had been afforded him by Harvard College, with a view to his thus preparing for a professor- ship in that College when there should be a vacancy. So far as his immediate prospects were concerned, he had not on his return to the United States, in 1822, ultimately abandoned his intention of adopting the profession of the Christian ministry; and he did in fact preach in his father's pulpit, and from time to time else- where, for a brief period. He was appointed Tutor of Greek at Harvard College in 1822, and filled that office for a year. From 1823 to 1830, his time was devoted to teaching at Round Hill School, Northampton. In 1827 he married Sarah H. Dwight. She died in 1837. By this marriage he had two sons and one daughter. The sons survive their father. In 1838 he married Mrs. Elizabeth (Davis) Bliss, who died in 1886. She bore him one daughter ,who died while yet a child. It was while connected with Round Hill School that he launched his first literary venture, a volume of poems, published in 1823. His pen during this period of his life was also busily at work upon translations from the German, and on articles for the prominent reviews of the day. An oration delivered on the 4th of July, 1826, and published the same year, in which he announced the democratic nature of his political views, and a pamphlet on " The Bank of the United States," published anonymously in 1831, indicate the in- terest he took in the political questions of the day. In 1830 an opening was afforded him through which he might have entered political life if he had cared to do so. He was elected to the legis- lature, but declined to take the seat. Next year he was tendered the nomination to the Senate, but, notwithstanding the fact that his election would have been certain, he declined the honor. In 1834 he published the first volume of his History. *' I have formed the design," he says in his Preface, " of writing a History 358 GEORGE BANCROFT. of the United States from the discovery of the American Continent to the present time." It will be seen that he did not attempt to carry out the plan as thus promulgated. History requires the aid of intervening time as a guaranty that the writer shall escape the prejudices and passions provoked by current events. It was im- possible that Mr. Bancroft should treat with uniform impartiality of men and affairs belonging strictly to the past, and of events which had been shaped by the generation then controlling the destiny of his country. His History, a% published, concludes with the establishment of a constitutional government in the United States, and to its production he devoted the remainder of his life, publishing from time to time the several volumes of the series, as intervals of leisure in his i^olitical and diplomatic labors permitted. In 1835 he removed to Springfield, and next year ran for Con- gress in that district on the Democratic ticket, but was defeated. From 1838 to 1841 he was Collector of the Port of Boston. In 1844 he was Democratic candidate for Governor of Massachusetts, but failed of election. In 1845 he was Secretary of the Navy under James K. Polk, and while he held that position he founded the Na- val School at Annapolis. The need of a training school for naval officers similar to that at West Point for the Army had long been felt. The usual sectional jealousies and political prejudices which impede useful legislation at Washington were to be apprehended if a direct appeal for the establishment of such an institution were made. An opportunity offered to secure the post at Fort Severn, Annapolis, without legislation. Existing laws permitted the stationing of certain officers and instructors at this post. It was also possible to detach midshipmen from vessels as they arrived in this country and order them to Annapolis. All of this was accom- plished. Orders for the establishment of the school were issued, and a scheme was promulgated which, in 1846, was published at Washington, under title of "Plan and Regulations of Naval School at Annapolis." The school was formally opened October 10, 1845. On the 1st of January, 1846, its membership was composed of forty-nine midshipmen and seven acting midshipmen. The Navy thus became indebted to Secretary Bancroft for a training school. While Secretary of the Navy, he issued the order to take posses- sion of California in the event of a war between the United States and Mexico, and while acting as Secretary of War, during the temporary absence of Marcy, Bancroft issued the order to Greneral Taylor to march into Texas. ^ GEORGE BANCROFT. 359 The stirring events in which Bancroft as a member of Polk's Cabinet participated were of momentous consequence to liis coun- try. Every believer in what was then termed the ''manifest destiny " of the country was compelled to admit that it was true statesmanship to seize the opportunity for gaining the magnificent territory offered for our control by the republic of Texas. Every antislavery man felt that Texas would not have been annexed, except that it would add another slaveholding State. Whether to sacrifice an opportunity which might not occur again, or to take the chances of a future adjustment of the powers of the two sections, was the question which antislavery men were forced to solve. To most Northerners the overwhelming antislavery sentiment in the North made the solution of the problem easy; but to an antislavery Democrat holding an office of power, the position was a difficult one. Mr. Bancroft was a Democrat, an ardent lover of his coun- try, and an antislavery man. Bev. Dr. Hale is authority for the statement that, while his confirmation as Secretary of the Navy was before the Senate, he was approached by a Senator on the subject of slavery, and in reply to questions as to his views he said that he was an antislavery man, and if he were to go tlirough the Senate he must go erect and not on his knees. The annexation of Texas carried with it a possibility of war with Mexico. The general opinion at that time was that the days of Mexico's occu- pation of Upper California were numbered, and it was feared that England would take possession whenever opportunity offered. That it would be in the interest of civilization if the United States should by any chance secure this territory, there was no doubt in any person's mind. It was under these circumstances that Bancroft, to quote the language of Von Holtz, "never wearied of impressing this one precept upon Sloat, Stockton, and Biddle. See to it that as soon as practicable Upper California at least be in our hands, in order that we may retain it if peace is concluded upon the basis of uti possidetis.^ ^ The same author measures tlie situ- ation in the United States at that time in the following language: "After its territory had once been extended thus far to the West, it w^as a proper, nay, an inevitable thought, that its banner must overshadow the entire continent, in its whole extent from ocean to ocean." In 1846, Bancroft was transferred from the Cabinet to the Court of St. James. During the three years that he remained in London as Minister Plenipotentiary, he negotiated a postal treaty between 360 GEORGE BANCROFT. Great Britain and the United States. He took great interest in the debates in Parliament on the Navigation Laws, and exerted his influence to secure a moditication of their rigor. When Bancroft went to London, he found that his History, three volumes of which had then been published, had made him a famous man. He was cordially welcomed in society, and was admitted to the friendship of the prominent literary men and statesmen of the day. '^1 met him everywhere," says Robert C. Winthrop, ''and witnessed the high estimation in which he was held by literary men like Rogers, and Hal lam, and Alison, and Milman, and Lord Mahon, and by statesmen like Peel, Palmerston, and Russell." Under such circumstances the opportunity to consult original documents bearing upon the topics of his History were exceptional, and he availed himself of it to amass an amount of material such as no man working in the same field had before that time had at his command. While Minister to England, he received from the University of Oxford the degree of Doctor of Civil Law. In 1849 he returned to the United States, and took up his abode in New York, where he devoted himself to historical labors. His life was one of great regularity. Each day had its aj)propriate hours set apart for labor, for exercise and recreation, and for social duties. He faithfully followed the allotted programme, thus secur- ing the best results for mind and body. The fourth volume of the history — the first of the Revolution — was published in 1852, the fifth in 1853, the sixth in 1854, the seventh in 1858, the eighth in 1860, and the ninth in 1866. Besides these, he published in 1855 a volume of ''Literary and Historical Miscellanies." In February, 1866, he delivered before Congress an oration in memory of Abraham Lincoln. In Ma^', 1867, he was appointed Minister to Prussia. He re- mained at Berlin until 1874, representing our government at this Court during its successive changes from the kingdom of Prussia to the North German Confederation, and finally to the German Empire. While Minister to the North German Confederation, he concluded naturalization treaties which included in their scope Prussia, Baden, Bavaria, and Wurtemberg. These treaties were the first to recognize the right of a citizen to change his alle- giance, and could only have been secured by a man of exceptional influence. While at Berlin, he presented the American case in the arbitration between Great Britain and the United States concerning the title to the island of San Juan. This act was GEORGE BANCROFT. 3G1 performed by him under a separate appointment. The decision of the Emperor sustained tlie title of the United States, and finally disposed of the vexed question. In 18G8, he received from the University of Bonn the degree of Doctor of Laws, and in 1870, on the fiftieth anniversary of his Doctorate of Philosophy at Got- tingen, that University conferred upon him an honorary I'h. D. The circumstances connected with this event attracted much atten- tion. Congratulations were showered upon the head of Mr. Ban- croft in person, by letter, and by telegraph, from crowned heads, from learned societies, from generals, and from men of letters. Bismarck sent his from the field. Americans when they read the story of these events realized that rare honors had been heaped upon the head of their Minister. In 1874 he was at his own request recalled. On his return to this country he divided his life between Washington and Newport, making the former place his winter, and the latter his summer home. Almost to the last day of his life, he continued his methodical habits, parcelling out his labors and his pleasures, allotting specific periods of the day to each, and rigidly adhering to his plan. Those who were present at the opening session of the American Historical Association in Washington, in 1886, will remember an incident which will illustrate the value he attached to punctuality. At the appointed hour he was ready to open the meeting, but owing to circumstances over which he had no control was unable to do so. As soon as he was able, he called the audience \o order, saying, "I pray you all to bear witness that I was here, prepared to open this meeting, at precisely ten o'clock." Volume X. of his History, which practically completed the work, was published in 1874. The Centenary Edition, revised and con- densed into five volumes, was published in 1876. An edition was published in London in 1862, and a German edition in Leipzig in 1875. Perhaps these foreign editions did not have his personal supervision. Volumes XI. and XII. were separately published under the title of "History of the Formation of the Constitution of the United States," in 1882. A revised edition, which included the history of the Constitution, and which was termed by him the ''final revision," was published in six volumes in 1883-85. The last volume which he published was a "Life of Martin Van Buren." The manuscript for this sketch had been prepared many years before. The last work actually given by him to the public Avas a trenchant criticism of the Supreme Court in the Legal Tender 362 GEORGE BANCROFT. Case. This was published in 1886, under the title of ''A Plea for the Constitution of the United States of America, wounded in the House of its Guardians." Allibone gives a list of his miscellaneous publications. The Annual Report of the American Historical Association for 1889 gives a list of his historical works, including papers communicated to historical societies. Still another list of his publications will be found in Appleton's Cyclopaedia of American Biography. The social position which Mr. Bancroft held when lie returned from Germany to this country was enviable. His friendships comprehended the great men of two hemispheres for half a century. Learned societies at home and abroad had elected him to active and honorary membership. He bore honorary degrees from American, English, and German universities. A partial list of these socie- ties and degrees occupies nearly half a column in the Quinquen- nial Catalogue of Harvard University. The Senate of the United States extended to him the unprecedented honor of free access to the iloor of their chamber. His society was eagerly sought both at Washington and at Newport, and it required all the restraints of his methodical habits to preserve strength for the work still before him. Towards the end of his life the anniversaries of his birthday Avere made much of by friends. Flowers, messages, and congratulations were showered upon him. October 3, 1887, Browning cabled him as follows : — " Bancroft, the message-bearing wire Which flashes my all-hail to-day Moves slower than the heart's desire That what hand pens tongue's self might say." He took great pleasure in the cultivation of roses; and the *' George Bancroft " in the catalogues of rosarians bears witness to the recognition of this taste on the part of horticulturists. He was fond, especially during the latter i)art of his life, of riding; and visitors to Washington or Newport felt that they had missed one of the sights of the place if they had failed to see the slight, erect form of the historian, crowned with his snow-white hair and beard, as he took his daily exercise on horseback. He was grateful for the opportunities afforded him at Exeter, where he went to school, and founded there a scholai"shi]i. At Harvard he founded a fellowship which he named, after his old teacher, the "John Thornton Kirkland Fellowship." In honor of his parents, he GEORGE BANCROFT. 363 placed in possession of the city of Worcester a fund for the main- tenance of a scholarship which he called the "Aaron and Lucretia Bancroft Scholarship." He died, January 17, 1891, at his home in Washington. His friends were not unprepared for the event, as he had been percepti- bly failing for a long time. The Emperor of Germany caused flowers to be laid upon the casket which contained his remains. The funeral services were held at Washington; but the body of the historian was interred in the same cemetery in Worcester which holds the remains of his father and mother. The position of Bancroft's History as the standard history of the United States has left for the critics to discuss only the question how long the work will be able to maintain this position. Alli- bone has grouped in his columns the opinion of a number of com- petent writers. A few extracts from these opinions expressed during the progress of the work, a brief analysis of some of the objections which have been made to the History itself, and a few quotations from later writers, in which they state their estimate of the work, will help to determine this question. Heeren, under whom Bancroft studied and who was his personal friend, reviewing the first three volumes, says, "We know few modern historic works in which the author has reached so high an elevation at once as an historical inquirer and an historical writer." Edward Everett, reviewing the first volume, says, "As far as it goes, it does such justice to its noble subject as to supersede the necessity of any future work of the same kind." Prescott, reviewing the third volume, says, "His Colonial History establishes his title to a place among the great historical writers of the age." Dr. Gris- wold in his " Prose Writers of America," treating of Volumes I., II., and III., thinks that "he becomes insensibly the advocate of the cause of freedom, which invalidates his testimony." The Edinburgh Review, on the other hand, says, "The real liberal- ity, the general fairness, the labor and conscientious research it evinces, deserves, and we are assured will receive, his [the English reader's] warmest approbation." The Westminster Review pre- dicts, "with confidence, that his work will be reckoned among the genuine masterpieces of historical genius." Lecky, in his "Eng- land in the Eighteenth Century," accuses him of violent par- tisanship, and charges that it greatly impairs his "very learned History." The foregoing will illustrate the reception of the History by literary men during its progress. It is difficult to 364 GEORGE BANCROFT. conceive of tributes more gratifying to an author. If there had been no voice in England to raise the charge of partisanshij) against this ardent American while engaged in depicting the preliminary struggles of the Colonies with the mother country, it would have been because he had failed to accomplish what he had undertaken. If the English people, as a whole, had not been able to appreciate Bancroft's labor and conscientious research, his fairness of purpose, and the real liberality beneath his sharp, inci- sive criticism, it could only have been because they had become less tolerant than we know them to be. In the composition of the first three volumes, which are devoted to Colonial History, Bancroft relied upon resources such as are at command of ordinary writers. ''I have been most liberally aided," he says in his Preface, **by the directors of our chief public libraries; especially the library at Cambridge, on American history the richest in the world, has been opened to me as freely as if it had been my own." The period covered topics concerning which an expression of opinion did not necessarily raise a contro- versy. Believers in the historic value of the Sagas did not feel it their duty to attack one who accepted the visits of the Norsemen to this coast as a natural probability, because he thought the Sagas themselves mythological in form and obscure in meaning. The exercise of discriminating judgment as to the voyages of the period, while it might arouse criticism as to the accuracy of the adoption of this or that narrative, did not provoke acrimonious discussion. The wide difference between the reception of the ear- lier volumes, and of the series which bore upon Revolutionary topics, calls attention to the scheme of the History, and empha- sizes the manner in which that scheme was developed. The whole History is divided into three parts: the history of the Colonies; the history of the Revolution, which in turn is separated by the Declaration of Independence into two subdivisions; and the his- tory of the formation of the Constitution. The publication of the portion dealing with the Revolution stirred up a series of con- troversies. Bancroft was compelled to express himself frankly concerning men who had living descendants. Family pride was aroused, and pamphlets were issued in defence of ancestors whose reputations were supposed to have been injured by the strictures of the historian. Mr. Winsor, in a note in the eighth volume of the ''Narrative and Critical History of America," gives an account of the literature of this description bearing upon the most important GEORGE BANCROFT. 365 of these pamphlet battles. The controversies there recapitulated were based upon language used by Bancroft concerning Colonel Timothy Pickering, General Greene, General Schuyler, General Sullivan, and Joseph Reed. In the last case it was shown that Bancroft had been misled by an incident which had occurred to another Colonel Heed; and the charge based upon that error was withdrawn in the Centenary Edition of the History. The language used with reference to Schuyler and Sullivan was also in each case modified in this edition, but the judgments of the men remain substantially as before. In the Preface to the sixth volume, he says, *'I hope at least it will appear that I have written with candor, neitlier exaggerating vices of character, nor reviving na- tional animosities, but rendering a just tribute to virtue wherever found." It was in this spirit that he approached the subject; and upon the judgment of posterity as to how far he was able to live up to it his reputation as an historian must stand. The majority of readers at the present day will give liim credit for the exercise of a judicial spirit in reaching the conclusions for which he was attacked. His History would be worthless if he had not been manly enough to express his opinions. His conclusions have seldom been doubted, save where they conflicted with the esti- mates of kindred. His style has been condemned as redundant and pompous ; but his capacity for marshalling events in narrative form has been admitted even by those disposed to criticise. Colonel Higginson's opinion on this point is vividly set forth in the following language : ''The reader is compelled to admit that his resources in the way of preparation are inexhaustible, and that his command of them is astounding. One must follow him minutely through the history of the war for independence, to appreciate in full the consummate grasp of a mind which can deploy military events in a narrative as a general deploys brigades in a field." The same writer calls attention to a fault '' which Bancroft shared with his contempora- ries, but in which he far exceeded any of tliem, — an utter ignoring of the very meaning and significance of a quotation mark." This criticism is based upon an obvious defect, the existence of which cannot be denied. Instances can be found in Bancroft's works in which quotation marks are used enclosing paragraphs in which there were abridgments and insertions for the purpose of making the thought continuous, without the typograj)hical marks essen- tial to denote these changes. He does not, however, need especial 366 GEORGE BANCROFT. defence for pursuing the practice of his contemporaries. It is logical perhaps to say that, when tried by Mr. Bancroft's literary methods, the mass of correspondence quoted in the History of the Constitution, "though valuable as suggestion, is worthless as au- thority," but it is severe. The same test would compel the rejec- tion of Sparks's Washington, if indeed it would not carry with it the entire collection of Washington's manuscripts in the State Department; for we know that some of the letter-book copies of the correspondence, on file in that office were revamped b}^ Washing- ton himself. There is no hesitation in quoting Sparks, and perfect confidence is felt that he made no change, either by alteration or omission, that could in his judgment affect the sense of the text, nor is it to be believed that Washington ever changed a word in his letter-books which he thought could modify their interpretation. The point must be indeed narrow and technical, a question of close construction or of the use of a word under circumstances demand- ing for an estimate of its value all that immediately precedes or follows it, that would call for the verification of any of Bancroft's quotations by comparison with original documents. Marginal references in the first six volumes, although not copious, are frequently met with. In the seventh volume they are entirely omitted, and thenceforward through the History are rarely to be seen. This change is much regretted by students. An explana- tion of why the references were omitted in the seventh volume is to be found in the Preface. The reason stated was "the variety and multitude of the papers which have been used, and which could not be intelligently cited, without burdening the pages with a disproportionate commentary." It was apparently Bancroft's in- tention at that time to cull out for publication such letters as would confirm his narrative, " and possess an intrinsic and gen- eral interest by illustrating the character and sentiments of the people during the ten or twelve years preceding the 4th of July, 1776." This purpose he did not carry out. The extracts from the opinions of reviewers previously quoted show that nearly all of the writers were of opinion that Bancroft was destined to hold permanently his position as the historian of the United States. How far the charges of partisanship made by such writers as Griswold and Lecky, and later by pamphleteers in this country, have affected this position, may be measured somewhat by the expressed opinions of historical students. Robert C. Win- throp, at the first meeting of the Massachusetts Historical Society GEORGE BANCROFT. 367 after Bancroft's death, said: ''You have well said, Mr. President, that Bancroft was foremost as the historian of the United States. His great work in all its varied editions will always he read and recognized as the leading authority on American history for the period which it includes. His style may he criticised, and cen- sured as redundant or rhetorical. His philoso^jhy may be discarded as partaking occasionally of that German mysticism which he im- bibed in his youth. A vein of partisanship too, may sometimes be detected amid all his professions of impartiality. It could hardly be otherwise. No one in writing history, or in doing anything else, can escape from himself, or can wholly conceal, even should he try to do so, his own preconceived opinions, his own individual peculiarities and idiosyncrasies." Further on in his remarks Mr. Winthrop added, " The triith of history was upj)ermost in his aims and efforts from first to last." Two months later Mr. Win- throp attended the semiannual meeting of the American Anti- quarian Society. Bancroft had for twenty years been the First Vice-President of this Society. A memorial of his life was read by Samuel S. Green. Mr. Winthrop, alluding to Bancroft's death, then said, "1 do not forget that he and I shared so long the dis- tinction of being the oldest members of the Society, and that is now left to me alone." He then added, with great earnestness of manner, " I paid my little tribute to him at our Massachusetts Historical Society, and I have nothing to add to it, and nothing to detract from it." Mr. Winsor, in the Narrative and Critical History of America deals with the question of the probability of Bancroft retaining his position in the following language: "His learning and the extraordinary resources of his material are likely to make his work necessary for the student, till another with equal or better facilities shall compass the subject in a way to gain wider sympathy." In other words, the writer who shall supplant Ban- croft must command at least equal facilities, and deal with the sub- ject in a more attractive way. To measure the probabilities of the occurrence of these events, it is necessary to review the resources at his command. It has been seen that no especial claim can be made for him in regard to the facilities at his disposal for the preparation of his Colonial History. The researches of topical students have placed within easy reach of the writer of to-day much that was to be learned only by diligent study when Bancroft wrote. To examine the Colonial records of the original States, he was obliged to travel 368 GEORGE BANCROFT. from State to State. Many of these records have since been pub- lished, and are now to be found in all the great libraries. When we reach the Revolutionary period, however, it is easy to compre- hend why Colonel Higginson speaks of Bancroft's resources as inex- haustible, and why Mr. Winsor characterizes them as extraordinary. Bancroft himself has given a detailed recapitulation of his manu- script sources of authority in the Prefaces to his sixth and ninth volumes. There is not space at command to give this informa- tion in full. The following extract from Mr. Winsor's abridged statement of the information furnished by these Prefaces will serve to show how remarkable were his opportunities : — " Nothing was refused hiin in the English State Paper Office, nor at the Ti'easury. The manuscripts of the British Museum and the Royal Insti- tution, such of the Chatham Papers as had not been printed, the Shelburne Papers, including the letters of Shelburne and tlie King, an autobiography of the third Duke of Grafton, a journal of the Earl of Dartmouth, the letters which passed from the King to Lord North, not to mention others of lesser importance, were placed at his disposal. In France the archives were thrown open to his search without restraint, and the treasures of the Marine and War Departments were largely drawn upon. On the nego- tiations for peace, the French archives offered liini the richest material. From Cierniany his acquisitions were peculiarly valuable, as Sparks had scarcely reaped anything from that field. He found the archives of Hesse-Cassel closed to him as to others, but through the instrumentality of Friedrich Kapp and others he secured the possession of private journals and reports of the Hessian officers, and caused searches to be made in the wide field of the contemporary publications in Germany for letters and criticisms on the part of the German auxiliaries in the war which he con- siders 'in the main the most in)portant of all that have been preserved.' From Berlin, he got the reports made to the Duke of Brunswick by his officers which have finally found a lodgment in the Russian archives; and he also secured the collection which I\Iax von Eelking, the writer on the Hessian story, had amassed in his studies. He likewise obtained copies of the correspondence of Frederick the Great with his foreign ministers, so far as it touched upon the affairs of America. From Moscow and Vienna, from Holland and from Spain, other documents came to swell the record, which have enabled him to make his account of the foreign relations of the Confederacy the best by far which had been prepared. " His wealth of American papers is probably from their scope unsur- passed in private hands. He iiad of course at his command the resources of the government archives, and those of the original States; he could examine the papers of the Revolution gathered in public libraries, and in the cabinets of historical societies; and besides these he had his own gatherings ; the correspondence of the agents of the various Colonies in GEORGE BANCROFT. 369 London prior to the outbreak of actual war, like Bollan, Jasper Mauduit, Richard Jackson, Arthur Lee, Franklin, W. S. Johnson, and others; the papers more or less extensive of Hutchinson, Israel Mauduit, Pownall, Hollis, JNIayhew, Andrew Eliot, Golden, Bernard; and, above all, the papers of Samuel Adams, which passed into Bancroft's hands some years ago. " He speaks also of two volumes of papers of Greene, and the papers of Anthony Wayne, which were submitted to his inspection." If ever the opportunity should occur for one man to command such resources as these, he still must, in the contest for supremacy, measure swords with Bancroft in the treatment of the subject. Mr. Winsor in the "final statement " in his History speaks of the value of monograph, as rounding the treatment of any phase of history in a way rarely accomplished in more comprehensive work. One of the criticisms which has been made upon Bancroft's work is. that he did not keep up with the times, and that in his last revision he did not devote himself to a more detailed investigation of the work of specialists in the several topics covered by his History, in preference to confining his labor mainly to the elimination of re- dundancies and the condensation of material. A glance at the manner in which he carried the scheme of his History into execu- tion wall furnish a partial answer to this criticism. He treated his subject by topics exhaustively, and as he progressed he devoted his, time to the investigation of the new field which w'as before him. It was impossible that he should be constantly at work where he had already concluded his labors, and equally impossible but that from time to time his attention should be called to errors which notwithstanding his vigilance had crept in. As edition after edition of his works came out, he eliminated such errors as came under his observation; but his main labor was devoted to the perfec- tion of his scheme. When the History proper was concluded, and afterward when the volumes on the Constitution were jiublished, he was confronted with the question, whether, in a revision of the published volumes, he should merely try to condense them, or whether he should attack the subject anew and attempt to treat it as a whole, taking up the stud^^ of each part where he had pre- viously dropped it. At his time of life the latter course was prac- tically impossible. He chose the former, and, while opinions may differ as to the wisdom of the choice, it will commend itself to the majority. Mr. Bancroft's career has been presented as statesman, as historian, and as citizen. Whether his memory is longer to be VOL. XXVI. Is. s. xviii.) 24 370 JULIUS ERASMUS HILGARD. preserved tlirougli his founding the Kaval School, and through his connection with the acquisition of California and the enlargement of the rights of naturalized citizens, in the first capacity, through his recognized pre-eminence as the historian of his country; or through the grateful recognition of his forethought in founding exhibitions at Exeter, Harvard, and Worcester, posterity alone can tell. JULIUS EKASMUS HILGARD. The father of the subject of this sketch was a man of brilliant mind and of high attainments. He gave up a promising judicial career in Bavaria, against the wishes of that government, because of his republican sentiments, and of his desire to find a congenial sphere of action in the ideal republic which he expected to find on this side of the ocean. Accredited to the good will of the American people by a letter of introduction from Lafayette, he emigrated to this country with a large family of children, and arrived at New Orleans in the winter of 1835. Going up the Mississippi, he purchased a farm near Belleville, St. Clair County, Illinois, and there devoted his time to farming and to the education of his chil- dren, when the latter were not engaged in the manual labor in- separable from a pioiieer life in the West. His son Julius, born in Zweibriicken, January 7, 1825, received from his father instruc- tion in the classics and in the modern languages, but soon out- stripped his teacher in mathematics, and at the age of eighteen went to Philadelphia to study engineering. There, at the house of a mutual friend, he met Professor Bache. In tracing the history of his connection with the Coast Survey, to which his life was devoted, we find a letter from young Hilgard to Bache, dated January, 1844, calling the attention of the latter to errors in the formulas used by the Coast Survey in the computa- tion of geographical positions, and giving his own development of correct formulas. In reply. Superintendent Bache wrote to the youth of nineteen, saying, ^'You have overriden two of our most experienced computers, and have shown that they were seriously in error." To an offer from Bache of employment in the Survey in a subordinate capacity and at small pay, he responded tliat he would rather do '* high work at low pay than low work at higli pay," and gladly accepted the position. He entered at once upon his duties, but his formal appointment was dated December 28, 1846. His JULIUS ERASMUS HILGARD. 371 ability as a field officer in astronomical work and triangulation at once secured liim the commendation of his immediate superiors and of the Superintendent. In 1851, 1852, and 1853 he was in charge of the computing division, and there again his ability was made manifest, as is shown by the report of Captain Benham, U. S. Eng., who, on assuming charge of the Coast Survey Office in 1853, reported to the Superintendent that he found the com- puting division the best organized division in the office. The annual reports of the Survey contain the evidence of Hil- gard's scientific activity up to 18G1, when for a brief period he severed his direct connection with the Survey to embark in private enterprise. But at the outbreak of the War, when the very exist- ence of the Survey was endangered by threatened legislation, Bache appealed to him to return to Washington and help save the Survey, Responding at once, Hilgard called upon Schuyler Colfax and Roscoe Conkling, eminent as leaders in the dominant party, and made a strong argument showing how necessary such an organiza- tion as the Coast Survey must be to the country in time of war. So searching was Roscoe Conkling's examination of Hilgard's argument that the latter mistook his earnestness for an evidence of a spirit hostile to the Survey; but to his relief and satisfaction it was soon shown that he had found a most earnest supporter in Conkling no less than in Colfax. This incident is here recorded in order to recall to the mind that, in summing up the labors of Hilgard in the cause of science, it should be remembered that it is a sufficient outcome of a life to have borne a large part in main- taining the efficiency of so great and useful an institution as the Coast Survey. In 1862, Hilgard assumed charge of the Coast and Geodetic Survey Office, and this during the war involved heavy responsibilities. Professor Bache having become incapacitated through mental disease, the duty of directing the Survey in all its branches de- volved upon Hilgard in the autumn of 1864, in addition to his labors as assistant in charge of the office. Thus he was virtually Superintendent until the appointment of a successor to Bache, in February, 1867, without reaping the reward of a formal appoint- ment, which he richly deserved. As an estimate of his services by a critic by no means partial, and yet competent, the opinion of Bache's successor, Benjamin Peirce, is cited here: "During the illness of my lamented predecessor, the administration of the Survey fell upon the shoulders of the assistant in charge, J. E. Hilgard. The 372 JULIUS ERASMUS HILGARD. distinguished ability with which this difficult service was dis- charged was manifest to all. He has extended to me the bene- fits of this experience liberally and loyally. While I willingly acknowledge myself under deep and lasting obligations to him for the aid thus rendered me, I can also testify that in all respects he has been equally true to my predecessor, the greatness of whose reputation has not been diminished in his keeping." Until his appointment to the superintendency, in 1881, Hilgard continued in charge of the Coast Survey Office. In addition to this duty, he virtually conducted the office of Weights and Measures, and helped in shaping the legislation in regard to the legalization of the metric system in this country. The metric standards for the States of the Union were prepared under his supervision. It was therefore fitting that he should be appointed one of the scientific delegates to represent this government in Paris at an international conference having for its object the construction of a new meter as an international standard of length. In 1872 he attended the con- ference and actively participated in its deliberations, and when it had been decided to establish an International Bureau of Weights and Measures at Paris, its directorship was offered to him, but de- clined. While in Europe on the mission just referred to, he made a determination of Transatlantic longitudes, including in his opera- tions Paris and Greenwich. It is rather singular that the first successful telegraphic longitude determination between these great ob^jervatories should have been made by an American, and his suc- cess in this undertaking was always looked upon by him as also a diplomatic triumph. Hilgard was a charter member of the National Academy of Sciences, and took an active part in many of the investigations made by the Academy for the government. He conducted a mag- netic survey of the country, under the auspices of the Academy, with means supplied out of the Bache Fund. In 1874 he was elected President of the American Association for the Advancement of Science. His life Avas in many respects burdened by misfortune; for of his four children three died young and only one lived to man's estate and then died, leaving him childless and overwhelmed by grief at a time when a fatal disease had already begun its inroads on his mental and physical strength. This disease had already seriously impaired his health when he was appointed to the super- intendency in 1881, which, to use his own words, came ''too late J) CHRISTIAN HEINRICH FRIEDRICH PETERS. 373 There can be no doubt that he was conscious of his failing strength and ability while still occupying the position of Superintendent, for on more than one occasion he gave expression to the wish that the burden of his duties might be shifted to other shoulders. His retirement took place in 1885, and from that time on his lingering illness entailed great sufferings, and several times brought him to the point of death. From each of these attacks he rallied, with less power of resistance, until death relieved him of his suf- ferings, on May 8, 1891. CHRISTIAN HEINRICH FRIEDRICH PETERS. Christian Heinrich Friedrich Peters was born on September 19, 1813, at Coldenbiittel, in the Duchy of Schleswig. He studied mathematics and astronomy at Berlin between 1832 and 1836, and, after attaining the degree of Doctor of Philosophy, continued his education under the celebrated Gauss at Gottingen. In 1838 he was engaged to assist in a scientific expedition to Sicily for in- vestigations on Mount Etna, and was employed, after the conclu- sion of this work, to direct the trigonometrical survey undertaken by the Neapolitan government. Upon the outbreak of the revolutionary movements of 1848, it became impossible for him to retain his situation without sup- pressing his own sentiments in favor of freedom. Unable to con- ceal his liberal sympathies, he was dismissed and banished. But he soon returned to take an active part in the Sicilian insurrec- tion, during which he served under Mieroslawski, first as captain and then as major of engineers. The suppression of the insurrec- tion left him in imminent peril of capture by the Royalists ; but he finally effected his escape to France. He next went to Turkey, in hopes of obtaining scientific employment in that country; but the outbreak of the Crimean war put an end to these expectations, and he came to the United States in 1854. Here he found em- ployment in the Coast Survey, and subsequently, in 1858, was appointed Professor of Astronomy at Hamilton College, Clinton, New York, and Director of the Observatory connected with that institution. He retained this position until his sudden death, in 1890. On the morning of July 19 in that year, his body was found on the steps leading to the building where he had lived, and it appeared that he had died on his way home from his customary work in the Observatory. 374 CHARLES JOHN BIAXIMOWICZ. Notwithstanding his duties as a teacher, he found time during his life at Clinton for a great amount of astronomical observation. His principal work was that of determining the places of faint stars, with a view to the preparation of an extensive series of charts, part of which he published at his own expense in 1882. In the course of these observations he discovered many new vari- able stars and forty-eight new asteroids. He also made a long series of observations of solar spots. In 1874 he was chief of the expedition sent by the United States government to observe the transit of Venus. In 1876 he was chosen a member of the Na- tional Academy of Sciences. His studies of the ancient catalogues of stars, such as that of Ptolemy, were extensive and profound, and part of his published work relates to these and similar subjects. His frequent journeys to Europe maintained his acquaintance with his professional col- leagues of Germany and other countries, among whom he was always cordially welcomed. While the combative temperament which had formerly made him a soldier in the cause of Sicilian independence occasionally led him into controversies with regard to the extent of his personal rights, he made many friends, by whom he was greatly beloved. FOREIGN HONORARY MEMBERS. CPIAELES JOHN MAXIMOWICZ. Russia has been fruitful during the last seventy years in bot- anists of more than ordinary ability, as is shown by the mention from among them of such names as Besser, Bongard, Bunge and the Fischers, Herder, Ledelx>ur, Maximowicz, Meyer and Kegel, Ruprecht, Trautvetter, and Trinius, all well known to the botani- cal world. Of these this Academy has numbered among its For- eign Honorary Membei-s only the subject of the present notice, C J. Maximowicz, who was elected on October 10, 1888, and died on the 16th of February last. Maximowicz was born on November 23, 1827, in the town of Toula in Central Russia, though most of his boyhood was spent in St. Petersburg. In 1844 he entered the University at Dorpat, where Dr. Bunge was then Professor of Botany, and upon gradu- CHARLES JOHN MAXIMOWICZ. 375 ation he received the appointment of Director's Assistant at the Dorpat Botanic Garden, whence he was removed in 1852 to the curatorship of the Imperial Botanic Garden in St. Petersburg. The next year he was commissioned as botanist and collector for the Garden to accompany the frigate Diana upon an expedi- tion around the world, but the voyage was interrupted by the breaking out of the war with France and England, and Maxi- mowicz left the ship upon reaching the Russian colony that had been recently established near the mouth of the Amur on the coast of Mandshuria. He here devoted himself to a botanical exploration of the then little known region bordering the Amur River, which he carried on assiduously under many difficulties for over two years, returning to St. Petersburg through Siberia in 1857. The critical study of his collections, and of such other material as had been received from the same territory, occupied him for two years longer, the results being embodied in his Primi- tice FlorcB Amurensis. In this elaborate work he gave not only a detailed account of the plants, but a general view of the physical and botanical features of the country, the distribution of trees, and a comparison of the flora with others most nearly related to it. In acknowledgment of its scientific merits, he was awarded the Demi- doff prize of five thousand roubles banco. He was now again sent to Eastern Asia to continue his botanical researches, and for four years travelled through Mandshuria, reaching the frontiers of Korea, and through the Jaj)anese islands of Jesso, ISTipou, and Kiusiu, returning to Europe in 1864. From this time till the end of his life his main purpose was the preparation of a Flora of Japan and Eastern Asia. As Chief Bot- anist and Curator of the Herbarium at the Imperial Botanic Gar- den, and, after the death of Ruprecht, as Director of the Museum and Herbarium of the Imperial Academy of Sciences, he was burdened with official duties which continually interrupted and delayed the carrying out of this design, but it was never given up. Many contributions were published, chiefly in the Memoirs and Bulletins of the Imperial Academy, which were more or less di- rectly related to this work, and which are often of interest to American botanists on account of the close relationship of the East Asiatic and the North American floras, and the consequent neces- sity of his taking into consideration American as well as Asiatic forms. Among these contributions may be noted revisions of the Asiatic Ehamnece (1866), HijdranrjecB (1867), and Rhododendrece 376 KARL WILHELM VON NAEGELI. (1870), of the genus Lespedeza (1873)/ of the Spirccacece (1879), and of Coriaria, Ilex, etc.. (1881) ; also a series of twenty papers entitled Diagnoses Plantarum Novarum Japonioi et Mandshurice (1866-187(3), and another series entitled Diagnoses Plantarum Novarum Aslaticarum (1877-1890). In 1873 he visited Finland and Sweden, especially to consult the herbarium of Thunberg at Upsal, and most of the summer of 1875 was spent in a A-isit to Scotland, Kew, Paris, and Germany. At about this time he was also expending much critical labor ujDon Japanese plants in aid of Franchet and Savatier in the preparation of their Enumeratio Plantarwn Japonlcarum, which owes its value verj largely to this co-operation. The last ten years of his life were occupied chiefly in the study of large and important collections from the previously almost inaccessible regions of Central Asia, especially those of Przewalski and Potanin from Tangout (Northern Tibet) and Mongolia, and in the elaboration of an extended report which was to be illustrated with a hundred or more finely engraved plates. Much of this was completed and ready for the press, but only the first parts are as yet published. The general results, as showing the characteristics of the flora of the region, were ably summarized by him in a paper read before the Botanical and Horticultural Congress held at St. Petersburg in 1884. To the great loss of botanical science he was cut off most unexpectedly in the midst of his labors, dying on February 16, 1891, of an attack of influenza, after a short illness. The work of Maximowicz, as a botanist, is remarkable through- out for its extreme thoroughness and most scrupulous exactness in all its details, for good judgment and a purely scientific spirit, and he must always rank as a high authority in the department to which he devoted himself. As a man he was most estimable, of noble and spotless character, a scholar of high culture, and a most courteous and genial correspondent. KARL WILHELM VON NAEGELL Karl Wiliiklm von Naegeli was born on March 27, 1817, at Kilchberg, near Zurich, and died at Munich, May 10, 1S91. His education, begun in a private school at Zurich, was continued in the Gymnasium of that city until he entered the University of Zurich, where he received his doctor's degree in 1840. JI(> had at first intended to study medicine, but his taste for natural science KARL WILIIELM VON NAKGELI. 377 was so decided that lie was allowed to go to Geneva, where he stud- ied with De C-andulle for a time. He afterwards weiil to Berlin, where his attention was turned to philosophical studies. He then proceeded to Jena, where he was associated with Schleiden, whose influence is clearly seen in the earlier writings of Naegeli. He was married in 1845, and soon after returned to Zurich, where he be- came Privatdocent, and afterwards Professor Extraordinarius. In 1852, Naegeli, after having declined a call to Giessen, was ap- pointed Professor at Freiburg, in Breisgau. In 1855 he again returned to Zurich, where he was made Professor of General Botany in the new Polytechnic School. He resigned this position in 1857, and accepted an appointment as Professor of Botany and Director of the Botanic Garden at Munich, where he remained until his death. Por the last twenty years of his life Naegeli's health was feeble, but he was nevertheless able to continue his scientific work during most of that period. In his feeble condition he was unable . to rally from au attack of the influenza during the epidemic of 1889-90, and gradually succumbed to the disease. During his long and active scientific career, Naegeli's influence was seen mainly in his writings, for, as a university lecturer, he did not succeed to the same extent as some of his contemporaries in attracting numbers of enthusiastic followers. Owing to certain peculiarities of temperament he was not personally popular with the botanists of Germany, and few of the younger botanists sought his instruction. That he was, however, capable of stimulating oth- ers to work of the highest grade is evident, if we consider that C. Cramer and Schwendener were his pupils and associates. As a writer and investigator probably no botanist of the present century has had greater influence in shaping the course of modern botany than Naegeli. His botanical career began at a time when the influence of Schleiden was predominant, and naturally the early work of Naegeli bore the mark of Schleiden's peculiar views. But Naegeli was a man of decided originality, and united great accuracy as an observer with a genius for speculation and philo- sophical inquiry, and he soon freed himself from the limitations ol Schleidenian conceptions. If, at the present day, we are obliged to admit that some of Naegeli's own theories have not stood the test of time, we must also admit that they were very suggestive and fruitful of results in their day, while, as an observer of facts, we can only admire his uniform accuracy and truthfulness. It is only natural that the theoretical views of Naegeli, formulated at a 378 KARL WILHELM YON NALGELI. time when botanists were comparatively few and accurate observa- tions scant;^, should, in the light of accumulated modern observa- tions, be superseded by other more tenable theories ; but we must still continue to acknowledge that we are indebted to Naegeli for the solid foundation of more than one of the branches of botany which are now regarded as among the most interesting and imjjortant fields of modern research. Naegeli was neither a pure sj'^stematist, nor strictly a physi- ologist in the modern sense. If he pursued systematic studies to some extent, it was with the view of preparing himself to dis- cuss the abstract questions of the nature of species and the theory of descent. His detailed work on the genera Cirslum and Hiera- c'lum was undertaken with very much the same purpose as that of Darwin in his work on Cirrhipeds; namely, by mastering the specific differences to be found in a few large and variable genera, to prepare himself for the intelligent discussion of the relations and probable origin of species in general. Beyond this he felt little interest in systematic work. So far as his work on the na- ture of cell structure, the formation of the cell wall, the method of reproduction in Cryptogams, and the phenomena of fermentation is concerned, it was certainly physiological rather than systematic; but, using the terminology of the present day, it may be said that Naegeli was pre-eminently an histologist, and that the greater part of his theories and general views, so far as they were derived from his own work, had a histological basis. Unlike De Bary, Prings- heim, and the younger generation of German botanists, he did not attempt, to any extent, to study what may be called the life-history of any special group by means of cultures. The histological work of Naegeli was admirable, and he was practically the first to introduce histological methods into the study of algte and other groups. In his ''Die neueren Algensysteme und Versuch zur Begriindung eines eigenen Systems der Algen und Florideen " (1847) he accumulated a large mass of facts, and was the first to give an accurate account of the thallus of different species, and to show the necessity for studying tlie apical growth as a means of classification in this group. In his attempt to form a new system of classification he was less successful. He excluded the Floridece from algae; but although he was accurate as far as concerned the microscopic structure which lie studied, he failed to recognize the true sexual relations of the FIoridecB. In his i)aper " P)eitr{ige zur Morphologic und Systomatik der Ccramiacoa; " KARL WILHELM VON NAEGELI. 379 (1861) his accuracy as an observer is shown, for in this paper he first figured correctly the young female condition of ilio' Floridece, but again failed to comprehend the true significance of his obser- vation, and it was left to Bornet and Thuret, in 1867, to give the proper explanation and fix the true position of the Floridece. It may be said that had Naegeli studied living instead of alcoholic material, he might perhaps have avoided his error. Naegcli's paper on the cell division in Delesserla Ili/jjoglossum and on the structure of Caulerpa proUfera were also valuable contributions to our knowledge of algse, and his " Gattungen einzelliger Algen " (1849), more purely systematic than his other works on algye, still remains a classic monograph on the subject. In his first histological paper (1841) on the development of pol- len, and in later papers on the development of stomata and the structure of the root-apex, Naegeli proved himself to be a better observer than his teacher, Schleiden, and in two important papers published in 1844 and 1846 on nuclei and the formation and growth of vegetable cells, he showed emphatically that cell division is the true mode of vegetative cell formation. Although in his earlier paper on the growth of the leaf, Naegeli had been led to errone- ous views on the nature of stems and leaves, nothing but praise can be said of his paper on the ''Growth of the Stem and Root in Vascular Plants and the Arrangement of the Vascular Bundles " (1858). This paper is regarded by botanists as his most important histological work, and is the basis of the countless works of more recent writers on the subject. The enormous work of over six hundred pages on starch grains (1858) is full of important obser- vations, and served as the foundation of the micellar theory, which has been alternately attacked and defended up to the present time, one phase of the discussion being the method of formation of cell walls by intussusception as opposed to apposition. For some time the preponderance of opinion rather favored Naegeli 's theory of intussusception, but, although the question cannot as yet be said to be settled fully, the advocates of the theory of apposition have of late appeared to have the strongest evidence on their side, and physicists, as a rule, do not regard the micellar theory with much favor. Naegeli's writings on fermentation, ''Theorie der Gahrung " (1879), with which may be classed properly his "Die niederen Pilze " (1877), represent rather his theoretical views based on the work of others than conclusions founded on his own work. 380 KARL WILHELM VON NAEGELI. Although interesting and suggestive, they hardly possess the same weight as his other writings. He differs with many recent writers in believing that, among forms like bacteria, it is dovibtful whether definite species exist, morphologically speaking, as in higher plants. It is still too soon to say whether his view on this point is correct or not; for, although most bacteriologists do not now agree with Naegeli, it must be admitted that the question is still an open one, and it Avould be rash to predict what would be the general verdict on this point a decade hence. Up to this point we have spoken only of the special work which entitles Naegeli to be regarded as one of the foremost botanists of his time, unsurpassed and jDerhaps unequalled in his own special field. But his influence was felt beyond purely botanical circles, and he acquired by his writings on evolution a wide-spread repu- tation among all scientific men. In his doctor's thesis (1840) on the Swiss species of Cirsium, Naegeli foreshadowed a line of study which he afterwards worked out more elaborately in his later work on Hieracium, in which he made a minute and critical study of the variable species of a large genus serve as a groundwork for a con- sideration of the theory of descent. Early in life he believed in the absolute difference of species, although he urged the necessity of the study of development as that which gives real value to the knowledge of mature forms. In a later work, however, he stated that this early belief in the absolute difference of species 'Mid not prevent his believing even then in the origin of species by descent." In his important paper, '*Die Entstehung und Begriff der naturhistorischen Art " (1865), he discussed the Darwinian view of the origin of species, and stated that his own belief in the origin of species by descent had been definitely expressed in a paper pub- lished in 1856. He differed with Darwin in believing that varia- tion occurred in a definite direction, — a view similar to that held by Gray, — and he was unable to accept natural selection as a sufiicient explantion of evolution. His views were peculiar in that he believed that the different groups of plants originated inde- pendently from what he called " Urzellen," and, taking the differ- ent groups as they now exist, he failed to recognize a gradual development of the higher forms from the lower. Without stop- ping to consider his papers on the influence of external conditions in the formation of varieties and the theory of hybrid formation, we need here only refer to ''Die mechanisch-physiologische Theorie der Abstammungslehre " (1884), a work in which he states the EDUARD SCHONPELD. 381 conclusions reached as the result of an unusually long and profound study. This work must be regarded as Naegeli's greatest contri- bution to speculative science, worthy to be classed with the mas- terpieces of the great writers on evolution. He maintains that variation arises from internal, not external causes, and that the transmission of hereditary characters dejiends not on the general protoplasm, but on a limited and definite part of it, the idioplasm. The enunciation of the general principle in the Abstammungslehre is forcibly and even brilliantly stated, and Naegeli's presentation of the subject has exerted and will continue to exert a marked in- fluence on modern thought, although in some details he allows himself to indulge in views which are too purely speculative, and not borne out by the more exact microscopic work of a younger generation of workers.* EDUARD SCHONFELD. Eduard Schonfeld was born on December 22, 1828, at Hild- burghausen, Germany. The comprehensive activity of his mind was early displayed in the course of his education, for he studied architecture and chemistry before finally selecting astronomy as his special field of work. His astronomical studies were begun at the University of Marburg, and continued, in 1852 and later, at Bonn, under the guidance of the illustrious Argelander. He took his degree in 1854, but had already in the previous year been appointed Assistant in the Observatory. At this time, Argelander was entering upon the execution of his plan for the formation of a catalogue which should exhibit the approximate positions, and also the magnitudes, of all stars in the northern hemisphere not fainter than the ninth magnitude. He had made some preliminary observations for tliis purpose in 1852, but the work was definitely begun only after he had been joined by Schonfeld, who took a prominent part both in the observations themselves and in their reduction. The catalogue itself, which comprises 324,198 stars, was mainly drawn up by him. In 1859, Schonfeld was appointei Director of the Observatory at Mannheim. Here he undertook the systematic observation of variable stars, and his two successive catalogues of these objects * A detailed account of Naegeli's life and work is to be found in the " Neue Zurcher Zeitung" for May 16, 1891, and in " Nature" for October 15, 1891. 382 EDUARD SCHONFELD. are well known and higlil}' valued among astronomera. With the Mannheim telescope he observed many nebulte, and published a catalogue of these also. Upon the death of Argelander, in 1875, Schonfeld was recalled to Bonn to succeed him. He then undertook the extension of the great catalogue above mentioned into the southern hemisphere, as far as the twenty-third degree of south declination. The number of stars thus added to the catalogue was 133,659. This additional catalogue, as well as that previously prepared under Argelander's direction, is accompanied by an atlas, showing the places of all the stars observed. The value of the entire work to astronomers can hardly be described in terms which would not seem extrava- gant to readers of other professions. But the mere enumeration of the official occupations which formed the regular business of Schonfeld's life would give a very imperfect idea of his claim to the esteem and gratitude of his col- leagues and contemporaries. As has already been suggested, his mind was distinguished by its breadth and versatility. An aston- ishing memory, very extensive reading, and pre-eminent ability in teaching and in writing, combined with a perfectly unpretentious and amiable disposition, made him, as may easily be imagined, a leader in his profession, commanding the admiration and good will of all who knew him personally or only by his jiiiblications. He was one of the most active and valuable members of the As- tronomische Gesellschaft, and, as one of its secretaries in 1875 and later, was largely concerned in the publication of its journal, the ** Vierteljahrsschrift," to which he frequently contributed articles of more than ordinary interest. He died on May 1, 1891, after a prolonged illness, which, in the opinion of some of his friends, was to be ascribed to the unremit- ting labor to which he subjected himself in the observations for the extension of his great catalogue of stars, after his return to Bonn. His interest in astronomy continued unabated to the last, and the number of the '' Astronomische Nachrichten " subsequent to that in which his death is announced contains a final article from his pen on a point in the history of astronomy, in explaining which his learning and ingenuity are, as usual, made evident. REPORT OP THE COUNCIL. 383 The Academy has received an accession of eight mem- bers, — five Fellows, one Associate Fellow, and two Foreign Honorary Members. Two Resident Fellows have resigned. The roll of the Academy corrected to date includes the names of 186 Fellows, 89 Associate Fellows, and 69 Foreign Honorary Members. May 26, 1891. LIST OF THE FELLOWS AND FOREIGN HONORARY MEMBERS. (Corrected to January 1, 1892.) RESIDENT FELLOWS. — 18G. (Number limited to two himdred.) Class I. — Alathematical and Physical Sciences. 78. Section L — 7. Mathematics. Gustavus Hay, Benjamin O. Peirce, James M. Peirce, John D. Runkle, T. H. Safford, William E. Story, Henry Taber, Boston. Cambridge. Cambridge. Brookline. Williamstown. Worcester. Worcester. Section H. — 10. Practical Astronomy and Geodesy. Seth C. Chandler, Cambridge. Alvan G. Clark, Cambridgeport. George B. Clark, Cambridgeport. J. Rayner Edmands, Cambridge. Henry Mitchell, Boston. Edward C. Pickering, Cambridge. John Ritchie, Jr., Edwin F. Sawyer, Arthur Searle, O. C. Wendell, Boston. Brighton. Cambridge. Cambridge. Section HL — 46. Physics and Chemistry. A. Graham Bell, Washington. Clarence J. Blake, Boston, Francis Blake, Weston. John H. Blake, Boston. Arthur M. Comey, Somerville Josiah P. Cooke, Cambridge. James M. Crafts, Boston. Charles R. Cross, Boston. Amos E. Dolbear, Somerville. Thos. M. Drown, Boston. Charles W. Eliot, Cambridge. Moses G. Farmer, Eliot, Me. Thomas Gaffield, Boston. Wolcott Gibbs, Newport, R. L Edwin H. Hall, Cambridge. Henryr B. Hill, Boston. X. D. C. Hodges, New York. Silas W. Holman, Boston. William L. Hooper, Somerville. Eben N. Horsford, Cambridge. Henry M. Howe, Boston. T. Sterry Hunt, New York. Charles L. Jackson, Cambridge. William W. Jacques, Newton. Alouzo S. Kimball, Worcester. Leonard P. Kinnicutt, Worcester. William R. Livermore, Newjiort, R.L Joseph Lovering, Charles F. Mabery, Arthur Michael, A. A. Michelson, Charles E. Munroe, John U. Nef, Lewis M. Norton, Robert H. Richards, Theodore W. Richards, Cambridge. Edward S. Ritchie, Brookline. A. Lawrence Rotch, Boston. Charles R. Sanger, Cambridge. Stephen P. Sharpies, Cambridge. Cambridge. Cleveland. 'NA'orcester. Worcester. Newport, R.I. Worcester. Newton. Boston. Francis H. Storer, Eliliu Thomson, John Trowl)ridge, Harold Whiting, Charles H. Wing, Edward S. Wood, Boston. Lynn. Camliridge. Cambridge. Boston. Cambridge. RESIDENT FELLOWS. 385 Section IV. — 15. Technology and Engineering. John M. Batchelder, Cambridge. Wiutield S. Chaplin, St. Louis. Eliot C. Clarke, Boston. James B. Francis, Lowell. Gaetano Lanza, Boston. E. D. Leavitt, Cambridgeport. William R. Lee, Hiram F. Mills, Cecil n. Peabody, Alfred P. Rockwell, Peter Schwamb, Charles S. Storrow, George F. Swain, AVilliam Watson, Morrill Wyman, Roxbury. Lawrence. Boston. Boston. Arlington. Boston. Boston. Boston. , Cambridge. Class IL — Natural and Physiological Sciences. — 55. Section I. — 9. Geology, Mineralogy, and Physics of the Globe. Thomas T. Bouve, Algernon Coolidge, William O. Crosby, William M. Davis, O. W. Huntington, Jules Marco u, William H. Niles, Nathaniel S. Shaler, Warren Upham, Boston. Boston. Boston. Cambridge. Cambridge. Cambridge. Cambridge. Cambridge. Somerville. Section H. — 6. Botany. William G. Farlow, George L. Goodale, H. H. Hunnewell, Charles S. Sargent, Charles J. Sprague, Sereno Watson, Cambridge. Cambridge. Wellesley. Brookline. Boston. Cambridge. Section HL — 20. Zoology and Physiology. Alex. E. R. Agassiz, Cambridge. Robert Amory, James M. Barnard, Henry P. Bowditch, Wm. Brewster, Boston. IVIilton. Boston. Cambridge. Louis Cabot, Harold C. Ernst, J. Walter Fewkes, Edw. G. Gardiner, Samuel Henshaw, Alpheus Hyatt, Theodore Lyman, Edward L. Mark, Charles S. Minot, Edward S. Morse, James J. Putnam, Samuel H. Scudder, William T. Sedgwick, Henry Wheatland, James C. White, Brookline. Boston. Boston. Boston. Cambridge. Cambridge. Brookline. Cambridge. Boston. Salem. Boston. Cambridge. Boston. Salem. Boston. Section IV. — 20. Medicine and Surgery. Samuel L. Abbot, Boston. Henry I. Bowditch, Boston. Edward H. Bradford, Boston. Arthur T. Cabot, Boston. David W. Cheever, Boston. Benjamin E. Cotting, Roxbury. Frank W. Draper, Boston. Thomas Dwight, Boston. Reginald H. Fitz, Boston. Charles F. Folsom, Boston. Richard M. Hodges, Boston. Oliver W. Holmes, Boston. VOL. XXVI. (n. S. XVIII.) 25 386 RESIDENT FELLOWS. Frederick I. Knight, Boston. Francis Minot, Boston. Samuel J. Mixter, Boston. Wm. L. Richardson, Boston. George C. Shattuck, Henry P. Walcott, John C. Warren, Henry W. Williams, Boston. Cambridge. Boston. Boston. Class III. — Moral and Political Sciences. — 53. Section I. — 10. Philosophy and Jurisprudence. James B. Ames, Phillips Brooks, Charles C. Everett, Horace Gray, John C. Gray, Nathaniel Holmes, John Lowell, Henry W. Paine, Josiah Royce, James B. Thayer, Cambridge. Boston. Cambridge. Boston. Boston. Cambridge. Newton. Cambridge. Cambridge. Cambridge. Section H. — 17. Philology and Archceology. William S. Appleton, Boston. Lucien Carr, Cambridge Franklin Carter, Joseph T. Clarke, Henry G. Denny, Epes S. Dixwell, William Everett, William W. Goodwin, Cambridge. Henry W. Haynes, Boston. Bennett H. Nash, Boston. Frederick W. Putnam, Cambridge. F. B. Stephenson, Boston. Joseph H. Thayer, Crawford II. Toy, John W. Wliite, Justin Winsor, Edward J. Young, Williamstown . Boston. Boston. Cambridge. Quiucy. Cambridge. Cambridge. Cambridge. Cambridge. Waltham. Section III. — 17. Political Economy and History. Charles F. Adams, Edward Atkinson, John Cummings, Charles F. Dunbar, Samuel Eliot, A. C. Goodell, Jr., Henry C. Lodge, Augustus Lowell, Edward J. Lowell, Francis Parkman, Andrew P. Peabody, John C. Ropes, Denman W. Ross, F. W. Taussig, Henry W. Torrey, Francis A. Walker, Robert C. Winthrop, Quincy. Boston. Woburn. Cambridge. Boston. Salem. Boston. Boston. Boston. Boston. Cambridge. Boston. Cambridge. Cambridge. Cambridge. Boston. Boston. Section IV. — 9. Literature and the Fine Arts. George S. Boutwell, Martin Brimmer, J. Elliot Cabot, Francis J. Child, Charles G. Loring, Charles Eliot Norton, Horace E. Scudder, Barrett Wendell, John G. Whittier, Groton. Boston. Brookline. Cambridge. Boston. Cambridge. Cambridge. Boston. Amesbury. ASSOCIATE FELLOWS. 387 ASSOCIATE FELLOWS. — 89. (Number limited to one hundred.) Class L — Mathematical and Physical Sciences. — 33. Section L — 4. Mathematics. Simon Newcomb, Washington. H. A. Newton, New Haven. James E. Oliver, Ithaca, N.Y. J. N. Stockwell, Cleveland, Ohio. Section IT. — 12. Practical Astronomy and Geodesy. W.H.C.Bartlett, S. W. Burnham, Geo. Davidson, Wm. H. Emory, Asaph Hall, George AV. Hill, E. S. Holden, Sam. P. Langley, T. C. Mendenhall, William A. Rogers George M. Searle, Chas. A. Young, Yonkers, N.Y. San Jose, Cal. San Francisco. Washington. Washington. Washington. San Jose, Cal. Washington. Washington. , Waterville, Me. NevF York. Princeton, N.J. Section IH. — 11. Physics and Chemistry. Carl Barus, J. WillardGibbs, Frank A. Gooch, S. W. Johnson, M. C. Lea, J. W. Mallet, A. M. Mayer, Ira Remsen, Ogden N. Rood, H. A. Rowland, L.M.Rutherfurd, Washington. New Haven. New Haven. New Haven. Philadelphia. Ch arlottesvi lie , Va. Hoboken, N. J. Baltimore. New York. Baltimore. New York. Section IV. — 6. Technology and Engineering. Henry L. Abbot, Geo. W. Cullum, Geo. S. Morison, John Newton, William Sellers, W. P. Trowbridge, New York, New York. New York. New York. Philadelphia. New Haven. Class IL — Natural and Physiological Sciences. — 28. Section I. — 14. Geology., Mineralogy , and Physics of the Globe. Cleveland Abbe, George J. Brush, James D. Dana, Sir J.W. Dawson, F. A. Genth, Washington. New Haven. New Haven. Montreal. Philadelphia. James Hall, F. S. Holmes, Clarence King, Joseph Le Conte, J. Peter Lesley, J. S. Newberry, J. W. Powell, R. Pumpelly, Geo. C. Swallow, Albany, N.Y. Charleston, S.C New York. Berkeley, Cal. Philadelphia. New York. Washington. Newport, R.I. Columbia, Mo. 388 ASSOCIATE FELLOWS, Section II. — 2. Botany. A. W. Chapman, Apalachicola, Fla. D. C. Eatou, New Haven. Section III. — 7. Zoology and Physiology. Joel A. Allen, New York. G. B. Goode, O. C. Marsh, H. N. Martin, AVashington. New Haven. Baltimore. S. Weir Mitchell, A. S. Packard, A. E. Verrill, Philadelphia. Providence. New Haven. Section IV. — 5. Medicine and Surgery. John S. Billings, Washington. Jacob M. Da Costa, Philadelphia. W. A. Hammond, New York. Alfred Stille, Philadelphia. H. C. Wood, Philadelphia. Class III. — Moral and Political Sciences. — 28. Section I. — 8. Philosophy and T. M. Cooley, D. R. Goodwin, A. G. Haygood, James McCosh, Charles S. Peirce, Noah Porter, E. G. Robinson, Jeremiah Smith, Jurisprudence. Ann Arbor, Mich. Philadelphia. Oxford, Ga. Princeton, N.J. New York. New Haven. Providence. Dover, N.H. Section II. — 7. Philology and A. N. Arnold, Timottiy Dwight, I). C. Gilman, A. C. Kcndrick, E. E. Salisbury, A. D. White, W. D. Whitney, Archceology. Pawtuxet, R.I. New Haven. Baltimore. Rochester, N.Y. New Haven. Ithaca, N.Y. New Haven. Section III. — 7. Political Economy and History. Washington. New Haven. Cincinnati. Henry Adams, Geo. P. Fisher, M. F. Force, Henry C. Lea, Edward J. Phelps, W. G. Sumner, J. H. Trumbull, Philadelphia. Burlington, Vt. New Haven. Hartford. Section IV. — 6. Literature and the Fine Arts. James B. Angell, Ann Arbor, Mich. L. P. di Cesnola, New York. F. E. Church, New York. R. S. Greenough, Florence. William W. Story, Rome. Wm. R. Ware, New York. FOREIGN HONORARY MEMBERS. 389 FOREIGN HONORARY MEMBERS. — 69. (Elected as vacancies occur.) Class I. — Mathematical and Physical Sciences. — 24. Section I. — 6. Mathematics. John C. Adams, Sir George B. Airy, Francesco Brioschi, Arthur Cayley, Charles Hermite, J. J. Sylvester, Cambridge. London. Milan. Cambridge. Paris. Oxford. Section II. — 4. Practical Astronomy and Geodesy. Arthur Auwers, J. H. W. Dbllen, H. A. E. A. Faye, Otto Struve, Berlin. Pulkowa. Paris. Pulkowa. Section III. — 11. Physics and Chemistry. Adolf Baeyer, JVIarcellin Berthelot, R. Bunsen, H. L. F. Helmholtz, A. W. Hofmann, Mendeleeff, Marignac, Lord Rayleigh, Sir H. E. Roscoe, Sir G. G. Stokes, Julius Thomseu, Munich. Paris. Heidelberg. Berlin. Berlin. St. Petersburg. Geneva. Witham. London. Cambridge. Copenhagen. Section IV. — 3. Technology and Engineering. Marquis de Caligny, Versailles. F. M. de Lesseps, Paris. Sir Wm. Thomson, Glasgow. Class II. — Natural and Physiological Sciences. — 25. Section I. — 6. Geology, Mineralogy, and Physics of the Globe. H. Ernst Beyrich, Berlin. Alfred Des Cloizeaux, Paris. A. E. Nordenskiold, Stockholm. C. F. Rammelsberg, Berlin. Sir A. C. Ramsay, Beaumaris. Heinrich Wild, St. Petersburg. Section II. — 5. Botany. J. G. Agardh, Lund. Alphonsede Candolle, Geneva. Sir Joseph D. Hooker, London. Julius Sachs, Wiirzburg. Marquis de Saporta, Aix. 390 FOREIGN HONORARY MEMBERS. Section III. — 10. Zoology and Physiology. P. J. Van Beneden, Louvain. Du Bois-Reymond, Berlin. Thomas H. Huxley, London. Albrecht KoUiker, Wlirzburg. Lacaze-Duthiers, Paris. Rudolph Leuckart, Leipsic. C. F. W. Ludwig, Leipsic. Sir Richard Owen, London. Louis Pasteur, Paris. J. J. S. Steenstrup, Copenhagen. Section IV. — 4. Medicine and Surgery. Sir Wm. Bowman, London. C. E. Brown- Sequard, Paris. Sir James Paget, London. Rudolph Virchow, Berlin. Class III. — Moral and Political Sciences. — 20. Section I. — 3. Philosophy and Jurisprudence. James Martineau, London. Henry Sidgwick, Cambi'idge. Sir James F. Stephen, London. Section II. — 7. Philology and Archceology. John Evans, Hemel Hempstead. Pascual de Gayangos, Madrid. Benjamin Jowett, Oxford. J. W. A. Kirchhoff, Berlin. Cx. C. C. Maspero, Paris ? Max Miiller, Oxford. Sir H. C. Rawlinson, London. Section III. — 6. Political Economy and History. Due de Broglie, Paris. Ernst Curtius, Berlin. W. Ewart Gladstone, Hawardea. Charles Merivale, Ely. Theodor Mommsen, Berlin. Jules Simon, Paris. Section IV. — 4. Literature and the Fine Arts. Jean Leon Gerome, Paris. John Ruskin, Coniston. Leslie Stephen, London. Lord Tennyson, Isle of Wight. INDEX. A. Acalypha dissitiflora, 148. flavescens, 149. (Linostachys) longipes, 149. multispicata, 148. Acetoacetic ether on quinones, the action of, 29.5. Agave (Manfreda) brunnea, 156. (Littasa) Hartmani, 156. American Botany, contributions to, by Sereno Watson, 124. Amidoxyoxindol, properties of the chloride of, 96. Anilidotrinitrophenylmalonic ester, 88. nitrite of, 77. properties, 78. Anilidotrinitrophenyltartronic ester, 82. red modification, 83. yellow modification, 84. Anilidotrinitrotartrouic ester, salts of, 86. Anilidotrinitrotoluol, sodium salt of, 79. Arabis Macounii. 124. Archaetogeron linearifolius, 139. Arethusa grandiflora, 1.34. Argenione Mexicana, 162. Aristolochia nana, 145. Arracacia Mariana, 136. multifida, 136. Arsenic, quantitative determination of same in wall papers and fabrics, 24. Ascension, notes upon a collection of plants from the island of, 161. Aspleniiim Ascensionis, 163. Aster carnerosanus, 139. Engelmanni, Gray, 176. Atomic weight of copper, a revision of the, 240. Ayena Berlandieri, 133. Jaliscana, 133. B. Bacterium of Kern's milk-ferment, Dispora Caucasica, 104. Bahia Schaffneri, 142. Bassovia Mexicana, 171. Begonia (Weilbachia) Pringlei, 136. Beuzofurfuran derivative, 298, 299. derivatives from quinone and acetoacetic ether, 306. derivatives, synthesis of, 295. Benzo-jr>difurfuran a-dimethyl /3-di- carboxylic ether, 307. Bidens dahlioides, 142. jiilosa, 162. Biographical notices, list of, -337. George Bancroft, 355. Henry Jacob Bigelow, 339. Charles Otis Boutelle, 351. Julius Erasmus Hilgard, 370. Alfred Hosmer, 351. Charles John Maximowicz, 374. Karl Wilhelmvon Naegeli,376. Christian Heinrich Friedrich Peters, 373. Eduard Schdnfeld, 381. Bletia Palmeri, 153. Boerhaavia octandra, 145. Botany, American, contributions to, by Sereno Watson, 124. Bromdinitrophenylmalonic ester, ni- trite of, 93. Bromtrinitrophenylmalonic ester, on the products obtained by the action of nitric acid upon, 67. 392 INDEX. Bromtrinitrophenylmalonic ester, preparation of the nitrite of, 72. properties of the nitrite of, 74. Bromtrinitrophenyltartronic ester, 80. Buddleia Chapalana, 169. Bunchosia Pringlei, 133. Burrillia, gen. uov., 18. Cacalia (Conophora) poculifera, 143. Carapylopus introflexus, Brid., 103. Castilicia macrostigma, 173. Chamsedorea Pringlei, 157. Chimelia Pringlei, 137. Chloracetoacetic ether, 299. Choreocolax Polysiphoniag, on the structure and development of, 46. Chromite in Kiowa County pallas- ite, 6. Citharexylum Berlandieri, 174. Cladothrix cryptantha, 125. Cnicus linearifolius, 143. velatus, 143. Cologania Jaiiscana, 136. Commelina nudiflora, L. 162. Communications, — Carl Barns, 313. Oliver Whipple Huntington, 1. M. Ikuta, 295. C. Loring Jackson and W. B. Bentley, 67, 98. Charles L. Mix, 102. B. (). Peirce, 20. 218. Herbert Maule Richards, 46. Theodore William Richards, 240. B. L. Robinson, 164. Charle.s R. Sanger, 24. William Albert Setchell, 13, 177. Henry Taber, 64. John Trowbridge, 115. Sereno Watson, 124. Copper, a revision of the atomic weight of, 240. Corelia Pringlei, 109. Cornuella, gen. nov., 19. Croton (Eucroton) calve.scens, 147. (Eutropia) elajagnoides, 147. Crusea megalocarpa, 137. Cupric oxide, occluded gas in, 284. the analysis of, 276. Cupric sulphate, action of heat upon, 265. the analysis of, 244. Cyperus umbellatus, Benth., 162. D. Dahlia dissecta, 141. pubescens, 142. Dasylirion interme, 157. Desmodium amans. 135. Jaliscanum, 164. subspicatum, 135. Diacetylsuccinic ether, 298. Dichlorbenzo-/?-difurfuran a-dirae- thyl /3-dicarboxylic ether, 302. acid, 303. Dichlorhydroquinonediacetoacetic ether, 30 1, 302. Dichlorquinonediacetoacetic ether, 300, 305. addition products of, 303. Dicranella, 103. Disodium salt, 86. Doassansia, Cornu, preliminary notes on the species of, 13. Alismatis, Cornu, 16. Comari, De Toni, 18. deformans, sp. nov., 17. Epilobii, Farlow, 15. HottoniiB, De Toni, 15 Lythropsidis, Lagerh., 18. MartianofBana, Schroeter, 17. obscura, 10. occulta, var. Farlowi, 17. opaca, sp. nov., 15. punctiformis, Winter, 18. Sagittaripe, Fisch., 15. Doassausiopsis, 16. E. Echeandia nodosa, 156. Ehretia IMexicana. 144. Electric flow in flat circular plates, on some simple cases of, 218. Electrical oscillations on iron wires, dampening of, 115. Equation, matrical, on the, 04. Eriocaulon Jaliscanum, 1.57. Eriogonum destricola, 125. minutiflorum, 125. Eryngiuni Mexicanura, 136. Erysium arenicola, 124. INDEX. 393 Erythroniura, Linn., 126. albidum, Nutt., 128. Ainericiumin, Ker., 127. Bolaiideri, 129. citrinum, l-JO. gigaiiteiim, 129. giandilloruin, 128. llartwegi, Watson, 129. Hendersoni, Watson, 130. Howellii, AVatson, 130. mesochoreum, 128. montanum, 180. paiviflornm, 129. propullans, 128. purpurascens, Watson, 130. revoliitum, Smith, 129. Ester, anilidotriniphenylmalonic, 88. anilidotrinitrophenyltartronic, 82. anilidotrinitrotartronic, 70. bromtrinitrophenylraalonic, 67. bromtrinitrophenyltartronic, 80. bromtrinitrotartronic, 67. Eudoassansia, 14. Eupatoiium Cliapalense, 138. espinosarum, Gray, 165. Madrense, 137. Euphorbia digitata, 146. inisella, 116. origanoides, L., 162. subpeltata, 146. F. Fabrics, quantitative determination of arsenic in, 24. Fellows, Associate, deceased, — George Bancroft, 334. Jolni Charles Fremont, 334. Christian Henry Friedrich Pe- ters, 334. Fellows, Associate, elected, — Henry Newell Martin, 327. Fellows, Associate, list of, 387. Fellows, Resident, deceased, — Henry Jacob Bigelow, 334. Charles Otis Boutelle, 334. William Pr^scott Dexter, 334. Fellows, Resident, elected, — Arthur INIessinger Comey, 332. Charles Edward Munroe, 332. John Ulric Nef , 332. Theodore William Richards, 332. Charles Robert Sanger, 332. Fellows, Resident, list of, 384. Ferment, milk, Kern's, 102. Ficus fasciculata, Watson, 152. Guadalajarana, 151. Jaliscana, 150. Pringlei, 150. radulina, 151. Foreign Honorary Members, elected. Sir William Bowman, Bart., 330. Sir Henry Enfiedifurfuran a-dimethyl /3- dicarboxylic ether dihydro- chloride, 304. Quinones, tiie action of acetoacetic ether on, 295. R. Ranunculus vagans, 131. Rhacopilum gracile, Mitt., 163. Rubus nanus. 162. Ruellia Bourgsei, Hemsley, 173. S. Saccharomvces cerevisiae, INIeyen, 111,'113. galacticola, Pirotta, 110, 113. kefyr, Beyerinck, 107, 110. lactis, 110. Tyrocola, 110. Saccorhiza dermatodea, concerning the life-historj' of, 177. Salraea Palmeri, 141. Sargentia Pringlei, 134. Schultesia Mexicana, 144. Scutellaria hispidula, 174. Sebastiania Pringlei, 149. Senebiera didyma, Pers., 162. Senecio Guadalajarensis, 166. Jaliscana, 143. Sida Alamosana, 133. Silene Macounii, 124. Sisymbrium multiracemosum, 132. INDEX. 395 Sisyriuchium platyphyllum, 155. Sodium pheiiolate, 299. Spilanthes Botterii, lil. Spiranthes Jaliscana, 153. Pringlei, 153. Styrax Jaliscana, 144. Sulphur, the atomic weight of, 268. Symplocos Pringlei, 168. T. Talinum Coahuilense, 132. Theloschistes crysophthalma, 163. Thermal capacity, volume relations of, 323. Thymol, compressibility of, 321. expansion of, 315. specific heat of solid and liquid, 317. Tillandsia cylindrica, 155. Pringlei, 155. Tithonia macrophylla, 140. Tradescantia Pringlei, 157. Tribrommononitrobenzol, note on, 98. Tribromtrinitrobenzol, preparation of, 71. Trichlorhydroquinoneacetoacetic ether, 296, 298. Trichlor />oxybenzofurfuran a-me- thyl /3-carboxylic ether, 297. acid, 300. Trichlorquinoneacetoacetic ether, 295. Trinitroi:)henylenedimalonic ester, nitrite of, 90. Viguiera leptocaulis, 140. W. Wall papers, quantitative determi- nation of arsenic in, 24. Widmanstattian figures in pallas- ites, 6. Withania melanocystis, 171. X. Xanthoxylum Pringlei, 134. Xylosma Pringlei, 164. Y. Yeast, Kephir-like, found in the United States, 102. Zea, a wild species from Mexico, 158. MBL WHOl LIBRARY 0^ UH lAfiT Y ^ f/^ s .)ti\ i^wuakjUv