EX LIBRIS William Healey Dall Division of Mollusks Sectional Library MODE OF FORMATION SHELLS OF ANIMALS, &c. ed Ma : Lis oe ARMA AON eh s . APR 15 1988 LIBRARIES MODE OF FORMATION ON THE OF SHELLS OF ANIMALS, OF BONE, fs oF SEVERAL OTHER STRUCTURES, ive A PROCESS OF MOLECULAR COALESCENCE, DEMONSTRABLE TN } CERTAIN ARTIFICIALLY FORMED PRODUCTS./ BY GEORGE RAINEY, M.R.CS., LECTURER AND DEMONSTRATOR ON SURGICAL AND MICKOSCOPICAL ANATOMY AT ST. THOMAS’S HOSPITAL. Division of Moluaks LONDON Sectionc! Library JOHN CHURCHILL, NEW BURLINGTON STREET. 1858. he Fed PRINTED BY J. E. ADLARD, BARTHOLOMEW CLOSE. PREFACE. A eruat variety of subjects being treated of in the following pages, it must follow that some of the facts and views therein mentioned have been previously described or suggested by others; but as the facts and views to which I allude are for the most part of a general character, and of dubious authority, | have thought it better to refrain from mentioning names in connexion with them, than to attribute their origin to wrong authors, especially as the mention of them here will not m any way interfere with the claim to priority of those with whom they originated. I may observe that a portion of the matter comprised in the following treatise has already appeared in the ‘British and Foreign Medico-Chirurgical Review ’ for October, 1857, and a portion in the ‘ Quarterly Journal vl PREFACE. of Microscopical Science,’ for January, 1858 ; but that many fresh facts, both physical and anatomical, are here introduced for the first time. What im this treatise I consider to have entirely originated with myself, are—Firstly, a process by which carbonate of lime can be made to assume a globular form, and the explanation of the nature of the process, ‘“ molecu- lar coalescence,” by which that form is produced. _ Secondly, the explanation of the probable cause of crystallization, and the manner in which the rectilmear form of crystals is effected. Thirdly, the discovery of a process of “molecular disintegration” of the globules of carbonate of lime by inverting the me- chanical conditions upon which their previous globular form had depended. Fourthly, the recognition, im animal tissues, of forms of earthy matter analogous to those produced artificially. And fifthly, the deduc- tion from the above fact, and considerations of the dependence of the rounded forms of organized bodies on physical and not on vital agencies. Bemg anxious to present the results of my experiments and observa- tions to the public in as demonstrable a form as possible, I have, for the convenience of those who wish to repeat and to extend them, given in detail all PREFACE. vu my processes and formule ; and in the Physiological Section of this work I have mdicated the animals and parts best fitted for displaying the facts here described, with the best way of preparing them for microscopical examination. And in conclusion I may add, that I shall be glad to show, to such as are interested in the subject, those preparations in my possession which have been frequently referred to in the body of this work. G,. BR: 9, Cuurcu Roan, Homerton; October, 1858. Re oak a a i, eine innate al ire 9 mee Rakai | Ob ¥ 4 ‘bb i AS 7 hs Blue ‘halls Sal Bis th * ae rt mm Dot tityaie Hatt be ‘ale aie \ rs, |, ea A Wh wit ™M + Aaa ines vba | a ; ye Wi i ss pave ft: ee: ase in’ “7 Nee i; ee ee ts Sibi “nga wt odio hi ham Calva heal eal i et ec: : 4 | Pog Se mi i vi pe hia vd, i, ae Re ie ra e g mH iy MD Hip wild Biel, 6: Bail) Si ein ha nel a ai Siheed ML eae ST Rr DU , ales eee ag gael Cae AVN ee Mm Ae ang ae = “ia 4 i, ari 5 Ny aiTen =| ti) Soraah Br io: *£ rh att ce : vinntle ne a ala | (o nptaagdgel Ls ber a Re eae ea UAC a ie ih 1 ate it y 4 D m tb als i al igo fi i Fee ay angel / | "f iY way . ‘ | : ae ene ae diag +28 ‘i ea up uh Bu ie all | ay : | : ha ; fae cea wi! an ca ve is ri ey CONTENTS. Introductory observations Process for making Artificial Caleuli Mode of mounting Artificial Calculi Explanation of the process of Coalescence Attraction of Gravitation the cause of Coalescence Molecular agitation Molecular disintegration Dumb-bell-shaped Caleuli ‘ Elliptical Caleuli becoming spherical and ieaated Density of Calculi varies as the distance from the centre Another cause of Lamination Flat appearance of Calculi under the miceeohe Calculi formed by the coalescence of several small ones Inertia the cause of Lamination . Coalescence of Large Calculi similarly fomenteds Radiating lines in Calculi Nature and cause of Crystallization Rectilinear arrangement to the effect of a separating fore : Tenacity or attraction of tenacity Calculi composed of carbonate of lime and tele Pisin Change of the crystalline into the globular form Effect of globular carbonate on glass Attraction of tenacity neutralized Change from the globular to the crystalline ani by heat x CONTENTS. Sudden productions of Crystals by heat Crystallization the effect of an impulsive force The impulsive force causing app as inferred to be Electricity . Explanation of the manner in aseh rebels dane are produced Explanation of the mode a3 aeatecion of ot ee ties in Caleuli 1 Complete molecular disiataation Experiment showing complete molecular ieaiegiton pede by keeping Calculi in a denser solution Experiments showing complete molecular cameo in Gale composed partly of vegetable matter Experiment showing complete molecular disintegration by de- positing paonae of lime upon Calculi perfectly performed Time an element in the operation both of coalescence and disintegration The form of ultimate Molecules or Atoms PuystoLogicaL Part.—Introductory observations Formation of Calculi found in the Urine of the Horse These Calculi considered as organic formations Views of the Cell-germ theory Mode of formation of Calculi occurring in the vine of the oiee Vitality not connected with the formation of these Calculi . ** Animal basis”’ exists in Artificial Caleuli—Experiment showing the fact Structure of the Shell- detect in Crabs Vertical section of the Crab-shell—Precautions in pernibiri stich Craw-fish well suited for the examination of Shell-tissue The radiating lines explained, not tubules The structure of Crab-shell compared with Ivory The Dentinal Canals not regular Tubules Regular tubes in Shells not analogous with so-called Toetitarnl Tubes The part of Crab-shell aed Mpodernats rel esa for showing molecular coalescence : PAGE 76 77 78 89 83 84 86 87 8$ 89 CONTENTS. Comparison of Natural and Artificial Products Alkaline Carbonate formed on surface of Crustaceans aera with Shell 3 : Chemical conditions for the formation and coalescence of Carbonate of Lime in Crustaceaus : 2 The part which vitality takes in the formation of Organic Structures Formation and coalescence of G@aangte on the eden of Crab Chemical conditions necessary ae the formation of Carbonate of Lime on the Apodemata Blastema, its signification, according to both views On the Shells of Molluses Part of the Shell of Oyster best for Sa ee, Lime composing the Carbonate comes directly from the rates The Nacreous Lustre not due to the plications of Membrane Chemical conditions for the formation of Carbonate in Oyster The formation of Interlaminar Cavities in Oyster The ultimate of the Carbonate of Lime in the Shells of MoHGses Amorphous state of Carbonate in Oyster-shell Conferve in Oyster-shell Arguments against the view of Cells being ferred first, ai the Carbonate deposited in them : Formation of Carbonate of Lime on Membranes have ene Rhombohedral masses resembling Crystals ** Prismatic Cellular Substance” in shell of Pinna Structure and formation of Bone Use of Carbonate of Lime in Bone Formation of Lacune and Canaliculi The Nucleus in Lacune The use of Lacunie, Canaliculi, &e. The chemical conditions under which the ear thy macs is deposited Sclerous vegetable tissue ; Formation of less dense tissues by coalescence The physical explanation applies to the formation of tissues not to their function Cartilage compared with artificial srodicts Pigment-cells, development of xl PAGE 90 91 92 94 96 97 97 98 101 102 103 104 105 106 107 107 108 110 LUT lll 114 116 118 121 124 127 130 131 133 135 136 xl CONTENTS. The hooklets of the cysticercus cellulose Crystalline lens of Fish The way to examine the Crystalline fen Structure of the Crystalline Lens of Stickleback Development of Crystalline Lens : Concluding observations on the Analogy of Nature PAGE 137 138 139 140 144: 152 FORMATION OF SHELLS OF ANIMALS, fe. Tue observations about to be made upon the mode of formation of organic structures, rest upon the fact, that, by a proper employment of chemical and mechanical means, and by an exact adjustment of the conditions under which they act, calcareous bodies, identical in struc- ture and similar in composition to the elementary forms of the structures above mentioned, can be artificially pro- duced. It will therefore be necessary, first, to describe minutely the artificial process for obtaining these bodies, and to explain the manner.in which the physical and chemical agencies therein engaged act in producing them ; and, secondly, to show that, wherever natural products are found identical in structure with the artificial ones, the existence of physical and chemical conditions, similar to those associated in the artificial process, can be demon- strated. : Hence the subjects announced in the title fall naturally under two heads: one, embracing all such considerations as are strictly physical, and admitting of experimental demonstration, without any possible interference from 1 2 FORMATION OF SHELLS OF ANIMALS, ETC., vitality, belongs to physics. The other, though connected with structures exhibiting the same class of appearances, and being of a similar composition, but occurring in living parts, and therefore variously interfered with in their development by vitality, belongs to physiology. I shall discuss the physical part of this paper as _ briefly as the extent and importance of the subject will permit, and introduce into it nothing which is not either directly or indirectly connected with physiology; but it may not be amiss to observe, that the connexion of the two parts is so intimate, that the latter will not be intelligible without an adequate acquaintance with the former. The chemical substances to be employed in the pro- duction of the artificial calculi are, a soluble compound of lime, and carbonate (sub-carbonate of the old pharma- copeias) of potash or soda, dissolved in separate portions of water; and some viscid vegetable or animal substance, such as gum or albumen, to be mixed with each of these solutions. And the mechanical conditions required to act in conjunction with the chemical means, are the presence of such a quantity of the viscid material in each solution as will be sufficient to make the two solutions, when mixed together, of about the same density as that of the nascent carbonate of lime, and a state of perfect rest of the fluid in which the decomposition is gomg on; so that the newly-formed compound may be interfered with as little as possible in its subsidence to the sides and bottom of the vessel. This will require two or three weeks, or longer, according to the size and completeness of the calculi. But I have not found that they increase at all after six weeks. Now, from this process there results the simple though very umportant fact, that when the carbonate of lime thus BY MOLECULAR COALESCENCE. 3 formed is in a solution of a viscid material, its form, in the place of being crystallme as when produced in the same manner in pure or common water, is globular, and that in this state it possesses, in a remarkable manner, the property of coalescing with contiguous particles of the same compound, as well as of mtimately blending with such substances as, in its molecular state, it may happen to be brought mto contact with; so that the minute sphe- rules in which it first appears, if allowed to remain suffi- ciently long within the sphere of their mutual attractions, coalesce into large, spherical, transparent calculi, which, if suffered to remain a sufficient time on the surface of a glass slide, will leave permanently impressed upon it the form of the part of the calculus which was in contact with the glass. On reflecting upon these properties of this form of carbonate of lime, and contrasting the conditions under which it is formed im the experimental process, with those which I considered would most probably be found to be present in animal calcifying tissues—the carbonate being in these formed and deposited in contact with a certain amount of viscid animal matter—I expected to find the same form of carbonate existing in the earliest states of calcification of animal tissues, and possessed of the same property of coalescmg and intimately blending with contiguous structures, as that produced artificially. Under this impression I commenced the examination of shell-structures; but, though expecting to find some analogy, | had no thought of meeting with so perfect a resemblance between them, which in some instances was so complete, that, in small portions of the two products I was unable to distinguish one from the other, even by the aid of polarized light. To obtain the most satisfactory results in the investigation of the process of calcification 4 FORMATION OF SHELLS OF ANIMALS, ETC., of animal tissues, it is indispensably necessary that the parts examined should be in the earliest stages of the process, and before the calcifyimg membrane is entirely covered with the globular coalescing deposit. The usual plan of examining shells in thin vertical sections is entirely useless, unless it be simply to see the number and arrange- ment of their layers; the part of the section in such specimens, in which the calcifying process ought to be best seen, being entirely ground off. This part, being the softest, can only be preserved in the process of grind- ing by extreme care, and by keeping the lower edge of the section always thicker than the upper. Now, as the perfect resemblance of the globular form of the carbonate of lime, as prepared artificially, and as occurring in nature, indicates a corresponding similarity in the nature of the process by which they are formed, and an identity of the forces concerned in their formation, the careful experimental investigation of the precise mode of formation of the artificial products cannot fail to throw great light upon the genesis of the natural ones, and thus tend to emancipate this department of histology from the obscurity in which it now hes, and bring it under the domain of experimental physical science. Besides, I may add that the artificial calculi, when carefully and properly prepared, present the microscopist with a new class of polariscope objects not exceeded in beauty or brilliancy by any others. But even these optical phenomena, and the physical facts connected with them, may, when more minutely investigated, be found to possess other points of interest besides their mere appearance ; for, occurring as they do in bodies whose molecular constitution and mode of formation can be demonstrated, they ought to open new avenues to a more complete understanding of the BY MOLECULAR COALESCENCE. 5 nature of polarized light, and to a more accurate know- ledge of the cause of crystallization. Upon the former of these topics I shall not be able to touch in this paper, but I shall offer some observations upon the latter. This globular form of carbonate of lime was first observed by me in 1849, and was shown at that time to several of my friends ; but I did not discover its general properties, and its existence in organic products, until the year 1856. I may observe, however, that in the interval between these dates I had carefully examined a variety of morbid products, especially a form of corpuscle called by patholo- gists “ glomerulus,” whose globular form I felt convinced was due to a mechanical cause; and that from this con- viction I was led to the further examination of the bodies I had discovered in 1849. After numberless experiments made with a view to determine the process best adapted for furnishing these calculi of the largest size, and in the shortest space of time, I found the following to answer best, which, if strictly followed, will never fail to ensure satisfactory results. This process is given in the ‘Transactions of the Microscopical Society,’ published in the ‘Quarterly Journal of Microscopical Science’ for January, 1858. It consists in introducing into a two-ounce phial, about three mches in height, with a mouth about one inch and a quarter in width, half an ounce by measure of a solution of gum arabic saturated with carbonate of potash (the sub-car- bonate of the old pharmacopeeias). The specific gravity of the compound solution should be 1°4068, when one ounce will weigh 672 grams. This solution must be perfectly clear; all the carbonate of lime which had been formed by the decomposition of the malate of lime con- tained in the gum, and also all the triple phosphate set 6 FORMATION OF SHELLS OF ANIMALS, ETC., free by the alkali, must have been allowed completely to subside. Next, two clean microscopic slides of glass, of the ordinary dimensions, are to be introduced, with the upper end of one slide resting against that of the other, and with their lower ends separated as far as the width of the phial will permit; and lastly, the bottle is to be filled up with a solution of gum arabic in common water, of 1:0844 specific gravity, one ounce of which will weigh 520 grains. This solution must also be perfectly clear, having been first strained through cloth, and then left to stand for some days to allow of the subsidence of all the float- ing vegetable matter. It must also be added carefully to the alkaline solution, that the two solutions may be mixed as little as possible in this part of the process. The bottle must now be kept perfectly still, covered with a piece of paper to prevent the admission of dust, for three weeks or a month. Time would be saved by having a dozen bottles thus charged, and examining their contents at stated intervals, according to the chief object sought for in the experiment. The soluble salts of lime to be decomposed by the sub-carbonate of potash are contained in the gum, in combination with malic acid, and also in the common water ; ammoniaco-magnesian, or triple phosphate, is also contained in the gum, and is set free by the alkali. Muriate of lime, dissolved in a solution of gum from which all the lime had been previously separated, would answer a similar purpose, provided the muriate were not in too great excess for the gum, in which case crystals of carbonate would be formed together with the globules, and the surface of the slide would become covered with coalescing patches of the latter. Also muriate of barytes, and muriate of strontia, when treated in the same manner as the muriate of lime, furnish each a globular carbonate, BY MOLECULAR COALESCENCE. "i the spherical form of the latter being particularly perfect and beautiful. But muriate of magnesia, when decom- posed in the same manner, and under precisely the same conditions, does not furnish globules, but crystals of car- bonate of magnesia, evincing no tendency to become globular. After the slides have been withdrawn from the bottle, all the globules deposited on their upper surface may be rubbed off with the finger, or, if very closely adherent, washed off with muriatic acid, care being taken that it does not touch the edge of the slide, and so reach the opposite surface. Afterwards, the lower surface, which has the clearest and most perfect globules upon it, must be well washed for several minutes, or half an hour, by a stream of water running from a tap, so that all the gum may be removed. It will then be necessary to wash it well in distilled water, in order that no deposit from the impure water may be left on the glass when it is dried. The specimen, especially if it is to be put up in Canada balsam, should now be further dried, on a plate placed over boiling water, and afterwards washed with oil of turpentine. In mounting these calculi in Canada balsam, the balsam must not be boiled on the same slide as the calculi, as, in this case, the heat employed being too intense, would cause the calculi, containing triple phos- phate in combination with the carbonate, to become filled with rhomboidal crystals; but the balsam, mspissated on another slide, may be poured hot upon the one having on it the globules. Lastly, a thin glass cover of the width of the slide may be placed upon it, resting at each end upon a ledge of thin glass. The deposit which remains in the bottle may be next examined, and put up in any way that may be thought proper. The large ‘caleuli contained 8 FORMATION OF SHELLS OF ANIMALS, ETC., therein are not quite so clear as those adherent to the lower surface of the shde, but in many respects they are more like natural calculi. The smaller ones are more accurately elliptical than those on the slide, the mechanical conditions under which they are formed being less interfered with by the attrac- tion of the glass. Among the facts deducible from a careful examination of the results of these experiments, the most remarkable and important is the perfect coalescence imto one of two or more globules of carbonate of lime, as much as >4;5 of an inch in diameter, perfectly transparent, of a hardness nearly equal to that of glass, and giving the sensation, when rubbed forcibly by the finger on a smooth, hard surface, of small glass beads; the imeorporation of these globules being so complete, that the resulting one has the same spherical form, the same degree of transparency, and the same hardness and structure as the component ones. Let it be observed, moreover, that this is effected without any possible assistance from the application of external force or pressure, and that therefore it can only be produced by the mutual attraction of the two globules. Now, in order thoroughly to understand the cause of this singular fact, and the manner in which the physical forces, upon whose operation it depends, act in producing it, every step of the process will require to be carefully and minutely considered. For this purpose, small por- tions of the two solutions before mentioned may be intro- duced under a piece of thin glass fixed to a microscopic slide, and examined by the microscope with different magnifying powers while the solutions are blending together and the carbonate of lime is in progress of for- mation. The appearance which is first visible is a faint BY MOLECULAR COALESCENCE. 9 nebulosity, at the line of union of the two solutions, showing that the particles of carbonate of lime, when they first come into existence, are too minute to admit of being distinguished individually by the highest powers of the microscope. (This examination was made with one of Ross’s best lenses of } of an inch focus. See Fig. 1, a.) Fig. 1. ab c DS me > 2 so) Yad oo fs 3 233 a! bac) wpe 8 & ofp Cag ©. oho 38% 92,00 ° 9° @ & = 0 080 a e og © oO 9 @ ow B98 &y% Ce é Pace eG ere aoe Tn a few hours exquisitely minute spherules, too small to allow of accurate measurement, can be seen in the nebu- lous part, a portion of which has disappeared, and is replaced by these spherical particles. (See Fig. 1, 6.) Examined at a later period, dumb-bell-like bodies will have made their appearance, and with them elliptical par- 10 FORMATION OF SHELLS OF ANIMALS, ETC., ticles of different degrees of excentricity, some containing within them one or more ellipses, more or less complete, and parallel with the outer one. (See Fig. 1, ¢, e, and d.) For the further examination of the globular carbonate, it will be necessary to have recourse to those formed on the slides, and to the deposit contained in the bottles above mentioned. I may observe, that mixed with these calculi, there are all those forms, with the exception of the nebulous one, which I have just described. Fig. 2 (2 and 4) represents the forms of some of those contained Hips 32: in that deposit, and Fig. 3 represents calculi as they are found on the under surface of the slides. Fig. 4 repre- sents one form of globule sometimes found both in the deposit and on the slides, as well as the most perfect forms of the laminated calculi with radu. As _ these figures, being correct delineations of the artificial pro- ducts, will be minutely referred to when treating of the subject of molecular coalescence, it will not be necessary to give a written description of the forms of calculi of BY MOLECULAR COALESCENCE. L] which they are the accurate representations, and there- fore I may at once proceed to consider the cause of these several appearances, and the manner in which this cause acts in producing them. Besides, these caleuli being easily prepared by followmg carefully the directions already given for their preparation, the various appear- Fig. 3. ances which they present in their several stages of forma- tion can be observed by any one who likes to prepare them on specimens of his own making. To show that the appearances presented by the carbo- nate of lime, as they are seen in the first experiment, fully justify the inference which has been deduced from 12 FORMATION OF SHELLS OF ANIMALS, ETC., them, namely, the existence of a physical process of coalescence of hard, solid, globular bodies, by means of their mutual attraction, it may be observed, that the pre- sence of these globular and oval particles, as there noticed, can only be accounted for in one or other of two ways: either these must have been the forms and dimensions which they first assumed at the instant of their coming into existence as solid bodies, or these forms and dimen- sions must have resulted from the aggregation of pre- existing smaller particles. Now, as im the earliest stage Fig. 4. Ly, Wy / \ ‘Aw se iby) i, ie Y of this experiment none of the larger globular and oval particles are visible, whilst the minutest ones abound, producing the nebulosity before mentioned—it being only at a subsequent period, and after much of the nebulosity has vanished, that the larger globules make their appear- ance—it is certain, as far as ocular proof can make it, that the larger globular and oval particles are not the first or elementary forms of the carbonate of lime occurring in this experiment; and hence it must follow that the second BY MOLECULAR COALESCENCE. 13 is the only way of accounting for them—that is, that they result from the union and intimate blending together of pre-existing minuter particles. The same train of reason- ing applies equally to the larger and more complex forms of these calculi, as represented in Figs. 3 and 4, with this additional fact, that the secondary forms, which by their union form the largest calculi, possess characters suffi- ciently marked to render them individually recognisable, both when grouped together into spherical masses to form compound calculi, and when passing through their various changes of form, even almost up to their complete coalescence into one perfectly spherical body. For the satisfactory examination of these changes of form polarized light is indispensably necessary. Now, as insuch a group as that represented at fig. 3, c, there is no mechanical reason deducible alone from its general figure which can account for the fact of its contour bemg made up of arcs of very different lengths, though of circles of nearly the same radius, and for the arcs of the two extreme pieces being each of them so much longer than that of the mid- dle piece, the explanation must be sought for in some cause which had acted upon the individual fragments ; but as there is no conceivable combination of mechanical forces which could have produced one part of any one of these fragments of spheres without at the same time pro- ducing its counterpart, these pieces must have had, when separate, a form different to that which they have when combined, and that form, from the figure of the different fragments, may be inferred to have been spherical. Hence it remains now to demonstrate in what manner the spheri- eal figure is first given to the component globules, and, after that, to show how these become incorporated m those of the larger size, so as to result in the production 14 FORMATION OF SHELLS OF ANIMALS, ETC., of calculi of the same globular form and of the same structure as those of which they are made up. ‘ As every particle of matter, whatever may be its form or dimensions, is admitted by philosophers to be under the influence of gravity, to which law, if universal, the molecules of carbonate of lime, as produced in the manner already described, can form no exception, it must follow that, the instant they are brought into existence, they will commence arranging themselves in spherical figures, unless there should be some other force of an opposite kind acting upon them, adequate either entirely to over- come that of gravity, or sufficient only imperfectly to resist 1ts influence; im which case results of an interme- diate kind would be produced, depending upon the rela- tive powers and modes of operation of the opposing agencies. Now, as it is an undoubted fact, and one ad- mitting of ocular demonstration, that the particles of carbo- nate of lime formed by the double decomposition of a salt of lime and carbonate of potash previously dissolved m a solu- tion of vegetable gum, or of albumen of about the same density as the resulting carbonate, do assume, as their first appreciable form, that of minute spherules, and as this is exactly the figure which the molecules composing these particles would assume under the mechanical conditions in which they are placed, if they were simultaneously subjected to the effective influence of gravitation, that is, if they attracted one another with a force varymg in-. versely as the squares of the distances between them, and directly as the quantity of matter in each molecule, the sphericity of these particles may be inferred to be the effect of gravity. And, besides, as there is no other known agency which could produce the same results under the same circumstances, this fact ought not only to BY MOLECULAR COALESCENCE. ID be looked wpon as the effect of gravity, but also as a proof of it. There is no question but these molecules or atoms are of inconceivable minuteness, and the spaces between them, when they first come into existence, icomprehen- sibly small; yet, as they are material existences, and the distances between them real spaces, they necessarily come within the scope of a power which is admitted to be of uni- versal operation. If this conclusion is madmissible, then the operation of gravity is not universal. The mode of formation of the first set of spherical particles of carbo- nate of lime being considered, it remains to offer a few remarks on the manner in which these coalesce to pro- duce the larger calculi. Now, as it has been demon- strated by Newton, that, in a sphere the total attraction resulting from the particular attractions of all its compo- nent atoms is the same with respect to any body drawn towards it, as if all the attracting particles had been con- centrated at the centre, these minute spherical particles, as sO many gravitating points, will be drawn towards each other with a force varying inversely as the squares of the distances between their respective centres; hence, being contained in a fluid medium of an equal density, or nearly so, in which all external sources of attraction will be counteracted, it is evident that they will, by their mutual attraction alone, form themselves into spherical collections or masses. Now, as every one of the spherical particles entering into the composition of each of these masses 1s built up of molecules, so disposed around its centre that every molecule is balanced and kept in its place by the attraction of some other molecule on the opposite side of the centre, no one of these particles can maintain its spherical form any longer than these conditions remain undisturbed. For it must follow that, when one of these 16 FORMATION OF SHELLS OF ANIMALS, ETC., spherules is brought into apposition with another of the same kind, as must take place in the supposed conglome- rations, the molecules of their adjacent sides will be differently attracted from those of the remote ones, and the balanced condition of the molecules in both will be destroyed. Hence, the molecules which were before con- tact at perfect rest, bemg then between equal and oppo- site attracting forces, will now be thrown into a state of molecular agitation, which must continue until ail the molecules of the two spherules have arranged themselves around only one centre, and ultimately become blended into one perfectly spherical figure, when the mechanical conditions necessary for molecular stasis will have become restored. The change of form which spherical particles undergo as they are in progress of coalescence into spheres of larger size being attended with a certain amount of motion of their component molecules, renders it certain that these molecules im the individual spherules were not in a state of absolute contact. Im this respect these bodies are like all other hard substances; it being ad- mitted, with the complete sanction of fact and experiment, that the atoms of all substances, however dense, are at an inappreciable distance apart. The fact of this motion is shown by the simple inspection of fig. 3, e, which repre- sents the sections of two calculi of equal size placed in contact, also the section of one which would result from their union, whose proper situation and relative size is m- tended to be constructed in accordance with the fact of the capacities of spheres being as the cubes of their radii. The two molecules at the point of contact of these two spheres being between equal and opposite attracting forces, will be as if not attracted by either sphere, and therefore, being in this way removed, each from the attractive iflu- BY MOLECULAR COALESCENCE. 17 ence of its former sphere, they are the two molecules which remain in contact, and will be the first to take up a fixed position about the centre of the new sphere. Also, the molecules composing the adjacent sides of these two spheres, in the immediate vicinity of this central point, being circumstanced similarly to the first two molecules, in respect to the amount of effective force attracting them towards the centres of their respective spheres, will be but feebly retained in their old position, and therefore ready to leave it, and jom those molecules which by their appo- sition formed the central part of the sphere now in progress of formation. For the same reason, the next and all the circumjacent molecules contained in these hemispheres, are less forcibly attracted towards their respective spheres, just in proportion to their proximity to their pomt of con- tact; and hence these molecules, bemg im a condition to admit easily of displacement by those of the remote hemi- spheres, whose attraction will have been less weakened, will readily give way under the pressure of the latter, which will be drawn towards one another en masse. The directions taken by these molecules will be understood in a general way by inspecting diagram e, fig. 3. All those situated in the parts of the component spheres external to the circular area of the resultant one will have to move imwards towards its centre, whilst all those contained in the parts of the component spheres nearer to the unoccu- pied portions of area of the resultant spheres will be carried outwards from its centre; and thus these particles will continue to move until the area of the large circle is filled up. Now, as the forces urging these particles in these two directions act upon them simultaneously, each particle in passing from its condition of rest in the com- ponent sphere to one of rest in the resultant sphere, will 9 ~ 18 FORMATION OF SHELLS OF ANIMALS, ETC., describe a curve, whose elements might probably be de- termined by a due consideration of the conditions of its motion. As the principal object of this paper is physiolo- gical, this is a task which it would be foreign to my purpose to attempt. It will now be obvious, from what has been stated respecting the change of position of the molecules of two spheres in the course of their coalescence into one, that, in a calculus made up of a conglomeration of sphe- rules, the molecules of each spherule, having been pre- viously arranged in reference to its own centre, will have to leave their former positions, and pass over a certain space before they gan gain their final positions in the sphere of which they are to form a part. Hence, prior to the complete coalescence of any number of spherical par- ticles into one sphere, each particle or spherule must undergo a process of disintegration (or be taken to pieces), and after that, the molecules of the disintegrated spherules must be put together again under the same static condi- tions as they were before. These processes are not of course performed at separate periods, so that after one is completed the other begins; but they may both be going on at the same time in different parts of the same sphere. Now, the question may be raised whether these processes are so thoroughly molecular as is here inferred; that is, whether they extend to the actual separation and re-arrangement of ultimate molecules or atoms, or whether it is not sufficient that the com- ponent spherules should be reduced only to extremely small pieces, and these packed closely together m the resultant spheres? As, according to this supposition, the sclid which would result from the coalescence of these imaginary small pieces would be a polygon, with a more or less regular contour, and as the effect of gravity upon BY MOLECULAR COALESCENCE. 19 particles of matter exposed to its full influence is to bring them into the smallest possible space, that is, to arrange them in such a solid form as presents 2 maximum of capacity with a minimum of superficies (which is the spherical form and that only). Gravity acting by itself, and under cir- cumstances where it can exert its full force, cannot con- sistently with its own laws produce such a figure as the one above supposed, and therefore this supposition is wholly untenable. The first effect of gravity in the for- mation of the minutest spherules was exerted upon the atoms or molecules of which they are formed, and no sub- sequent operation of this force cam be complete, until every such molecule entermg into any one calculus, of whatever size it may be, has taken up a definite and assigned position. It may be remarked, however, that although this observation is strictly true, the form alluded to is not geometrically spherical, but after all but a poly- gon of a number of sides corresponding to that of the molecules or atoms composing its most superficial lamina. Having made such observations as apply generally to the subject of the coalescence of artificially formed calculi, and having shown that this process which, however often repeated, affects all the molecules of these bodies, requiring in each successive coalescence their readjustment to new centres, must be, therefore, strictly molecular; 1 shall now consider some particular forms of coalescmg spherules. Fig. 2 presents accurate delineations of one or more small globules m different stages of molecular coalescence, from the dumb-bell figure to the perfect sphere ; (a) shows two small spherical particles just brought into contact by the mutual attraction of one for the other ; () two others which have coalesced sufficiently to acquire the form of a dumb-bell; (c) two others whose degree of coalescence is 2Ows FORMATION OF SHELLS OF ANIMALS, ETC., sufficiently advanced to give them the elliptical form. Besides these there are others representing intermediate stages. On examining specimens similar to the one of ‘which this is a drawing, a difference of structure between the central and peripheral part in such globules (0), especially on the side where they are in apposition, is distinctly visible by polarized light, under which these parts appear of different colours. And, during their further coalescence, the central portions appear to join before the peripheral ones; and, at a stage still more ad- vanced, the central portions of the two spherules will be seen to have coalesced sufficiently to circumscribe a per- fectly elliptical area, whilst the peripheral parts, retaining more of their spherical form, present a depression all around their line of contact ; or, in other words, the dumb- bell figure is retamed longer by the outer than by the inner portions. This want of correspondence in shape of these two parts proves that the central elliptical portion cannot have acted as the nucleus upon which the circum- ferential one was moulded. (See fig. 2 6 and 6.) It will not be difficult to account for this fact on the supposition of its being a necessary effect of attraction. Indeed, it seems to me that the fact will do as much towards proving the reality of the principles adduced to account for it as any application of these principles can do towards showing the nature and cause of the fact; or, m other words, the fact explains itself. A few observations, however, may make the subject more clear. For it will be evident, on the mere inspection of the particles (0, 6’), and the illustrative diagram a, B, C, D, fig. 2, that as the molecules occupying the outer portions of the remote hemispheres preserve their spherical form not perceptibly altered, they have the same arrangement in respect to the centres of the coalescing BY MOLECULAR COALESCENCE. 21 spherules as before contact, and therefore will exhibit nearly the same appearance under the microscope as if these spherules were apart. Whilst, on the contrary, the molecules contained in the inner hemespheres, coming within the attractive influence of both spherules, and being simultaneously drawn in the direction of their centres by two variable forces, whose sum is always a constant quan- tity, will be brought under the mechanical conditions required to give them an elliptical form, as shown in diagram fig. 2, whose axis major is the line 4, B, and axis minor c, D, and whose foci are the points ¢, c’, the centres of the coalescing spherules and the coordinates of the curve are the lines c, p, and ¢’, p. And hence the dumb- bell-shaped particle made up of these several molecules will refract the rays of light passing through the peripheral portion as a sphere would, and those passing through its central elliptical portion as an ellipse would. Hence these rays, being transmitted differently, will render these parts distinguishable one from the other by the microscope, each according to its peculiar laws of transmission of light. As the coalescence of two such spherules as those just described progresses, the dumb-bell shape will gradually disappear, the spherical form of the remote hemespheres becoming changed into that of an ellipse, so that now, the exterior outline having become also elliptical, there results a form presenting two ellipses, one situated within the other. (See fig. 2, c.) The still further coalescence of these once spherical particles is attended only with a gradual diminution of the eccentricity of these ellipses, until, their foci coimciding, one perfectly spherical calculus results. When, as was before observed, the molecules will all become quiescent, being now balanced between equal and opposite attractive forces, and 22 FORMATION OF SHELLS OF ANIMALS, ETC., the ultimate effect of gravity achieved. As there were, before the figure had attained the spherical form, two ellipses, so now there will be two spheres, one contained within the other. (See fig. 2, c.) The complete coalescence of two such spherules as that last described would result in the production of one spherule with more than two concentric zones. Hence the careful inspection of specimens exhibiting these different stages of coalescence brings to view numerous examples of calculi with concentric laminz (as shown in figs. 2 and 3). Such specimens can easily be prepared, and they occur abundantly as organic products, showing that the existence of rings or concentric laminze in organic bodies is not necessarily the effect of successive depositions on its surface as believed by physiologists and pathologists. (See Kolliker’s ‘ Manual of Histology,’ p. 458.) Now as these calculi are composed of only one material, it is mexplicable on known general principles that in such a body as the one just described, consisting of an elliptical portion contained within an irregularly spherical one, both without doubt in accurate apposition, the one should be so easily distinguished by the microscope from the other. For if this particle had been everywhere of the same density, and if every part of it had possessed the same index of refraction, that is, if it had been like two pieces of any homogeneous substance, as glass, with these forms accurately jomed by Canada balsam, one part could not have been thus easily distinguished from the other. But this difficulty, on the further investigation of this subject, will be removed, when it is demonstrated that the different parts of these globules, formed as they have been shown to be under the influence of gravity, vary in their density according to the degree of attraction exerted upon their BY MOLECULAR COALESCENCE. 23 particles,—an attraction which is as their distance from the centre. So that, this force being least at the centre, and greatest at the surface, these differently shaped parts will possess a density varying according to their distance from the centre and with it also will vary their refractive power. The effect of the diminution of refractive power being in these calculi as the distance from the surface is well seen on comparing them with the lenses of very small fishes. The latter, being made densest at the centre and least so at the surface, for the purpose of preventing spherical aberration, present, under the microscope, when examined by transmitted light, a spherical figure, and can be seen to possess the property of a true lens, by one part magnifying the other, so that the markings on the remote surface of such a lens always appear, when seen through its entire thickness, considerably larger than those on the near one, and if its transparency be not much impaired, they can be seen very distinctly. Whulst, on the contrary, an artificially formed calculus of about the same size, being exactly the reverse in respect to the relative density of its different parts, causes such an amount of spherical aberration that its form, though it may be perfectly spherical, appears under the microscope, when viewed by transmitted light, to be flat, and any marking on its sur- face furthest from the microscrope cannot be seen at all magnified by looking through it, as was observed in the crystalline lens of the fish. This subject will be further discussed when treating of the development of the crys- talline lens generally. But, even so far as it has been considered, it removes the difficulty which at first presented itself, and furnishes incidental evidence in favour of the principles and accuracy of the reasoning which have been all along resorted to. 24 FORMATION OF SHELLS OF ANIMALS, ETC., The form of laminz just described is the effect only of one cause of lamination; the concentric divisions thus produced occur chiefly in the smaller spherules, where they are generally more distinct and complete than those which IT am about to describe. The calculi in which the nature of the process of lamination now to be considered can be best shown, are those which are formed by the coales- cence of several small globules of nearly the same size. The first stage in the formation of such calculi is a spherical conglomeration of these globules producing a mulberry-like appearance, (See fig. 4, 6, c, d,) and a form closely resembling that of the corpuscle called by pathologists a glomerulus, although that is composed of particles of oil. The next is the disintegration of these spherical particles which takes place first in the peripheral ones. In this process every vestige of their original form and structure is destroyed, and they become re- duced to an amorphous granular mass. Next, the mole- cules nearest to the surface coalescing, form a clear ring completely surrounding the amorphous matter occupying its interior. (See fig. 4, 4.) The further progress of the processes of disintegration and subsequent coalescence is marked by the increase in width of the circumferential bright ring, just as the central amorphous part diminishes, showing that the one is formed at the expense of the other, (See fig. 4, d,) until all the latter has disappeared, and is replaced by a succession of bright concentric laminz. These calculi, when dried and examined by re- flected light, have very much the appearance of small pearls, especially the brightest of them; but after being immersed in Canada balsam, and examined in the same manner, they appear to consist of a glassy case, filled with a whitish amorphous material. The relative propor- _ BY MOLECULAR COALESCENCE. 25 tions of these two parts vary according to the advance- ment of the process of coalescence, which in very large calculi is rarely so complete, as not to leave some remains of the amorphous matter in the form of a central opacity, presenting in many of these bodies the appearance of a nucleus; in some bodies it appears to be single, but in others to be in process of division; or, if the cause of the appearance were not known, it might be considered as in- dicative of fissiparous multiplication. I may observe that this latter idea has instantly occurred to those to whom the artificial products have been shown when ignorant of their real nature. This latter appearance of the nucleus will not, however, be found in calculi formed in the manner now described, but only in those which are formed by the coalescence of two large ones. The central portions of each, being the last to undergo disen- tegration and subsequent coalescence, will be recognisable by the aid of the polariscope after all the other parts have become thoroughly incorporated. Now, as respects the agency of gravity (that is, the mutual attraction of the particles of matter according to known laws), in the formation of these calculi, it will not be doubted but that the first stage of the formation—the collecting together of the floating particles into spherical masses—is due to its influence. Next, as might have been anticipated, the peripheral layer of these calculi is that in which the disintegration and subsequent coalescence commence and are firstcompleted, as indicated by the circumferential bright ring before noticed —a fact which is in perfect accordance with the relative force which gravity is proved to exert upon the particles of matter arranged im spherical masses. For this force exerting its maximum influence on the spherical particles 26 FORMATION OF SHELLS OF ANIMALS, ETC., composing the superficies, and diminishing in the ratio of the distance from the centre, its effects would of ne- cessity be apparent, first at the surface of the calculus, and last at the centre. Hence, according to this ap- plication of the laws of gravity, the most external layer will be the one first formed. Now, with respect to the subsequent layers it may be observed, that, as the ultimate effect of gravity upon the molecules of matter is so to arrange them that they shall occupy the least possible space, and as the exterior molecules have been shown to be thus arranged whilst the interior remam im their amorphous condition, it must follow, that when the former have undergone their final arrangement, that is, are brought into the smallest compass, the latter will be insuffi- cient completely to fill up the space enclosed by the outer- most lamima, and therefore an interval will exist between them. But the microscopic examination of such calculi during their coalescence and lamination shows that this process is not divided into two separate and distinct stages, as might be inferred from this explanation (which has only been made to present this idea to show more clearly the facts), but that it takes place at several suc- cessive periods, and consequently as many layers, as there are periods of formation, are produced, one layer being within the other. Now, as the inductive reasoning de- monstrative of the existence of a space between the mole- cules, when complete coalescence has been twice effected, will apply equally if this coalescence be effected at any number of separate times, it must follow that, as the first jayer is larger than necessary to contain the second, this in the same way will be too large for the third, and so on for the rest; and hence, that there will result in- tervals or spaces between the laminz, whatever may be BY MOLECULAR COALESCENCE. 27 their number. Now, it may be observed, that although this is without doubt true, the reasoning being fully borne out by facts, still it does not necessarily follow that there should be appreciable interlaminar spaces, but only that there should be intervals where the molecules are less closely aggregated than in the lamine, the difference being only sufficient to affect the transmission of light, both ordinary and polarized, and so to produce the ap- pearance of laminz in the one case and that of coloured rings in the other. This, however, is not to be considered as the cause of lamination, but only a circumstance which disposes to the production of laminz upon the application of the cause. The direct cause of lamination must be looked for in some influence which interferes with the continuous operation of gravity. Now, imertia is exactly such an influence, co-operating at one time with all such obstacles as oppose the first communication of motion to the coalescing molecules, and at another urging them to go beyond the limits assigned by gravity. It is impossi- ble that their motions, under such circumstances, can be otherwise than irregular and interrupted. And the degree of this irregularity depending also upon all other obstacles which act upon these molecules in conjunction with in- ertia, the number, size, and completeness of the lamin in all those calculi must be, to a greater or less extent, accidental. These observations are not intended so much as an explanation of the process of lamination, as to show that the fact of its taking place under such circum- stances is more ‘in accordance with than opposed to the inference that the formation of these bodies is entirely due to the operation of gravity, and that the three stages of their formation, namely, the collecting of the spherical particles into globular masses, the disintegration of these 28 FORMATION OF SHELLS OF ANIMALS, ETC., particles, and the final arrangement of their molecules in an obscurely laminar form, are all the effects of the opera- tion of the same cause—universal attraction or gravity. Before concluding the subject of lamination, the coin- cidence and blending of the laminze of large calculi, simi- larly laminated and of about the same size, requires notice. (See Fig. 3, a, 6.) When such calcul as there represented coalesce, their laminz will be seen so to coin- cide, that, after their union is perfected, the lamine of the resultant calculus will have the same relative position as those of the components, so that those molecules which were in the superficial layers of the latter will also com- pose the same layers in the former. But, although any given layer of the resultant sphere may contain no other molecules than those which had existed in the correspond- ing layers of the component spheres, yet such is the relation between the capacity and superficial dimensions of spheres, that all the molecules of the latter cannot be received into the former. As, for instance, the molecules at and near to the points of contact of the two spheres cannot become circumferential. The mere mspection of Fig. 3, diagram e, will show that, as in the progress of the supposed coalescence of the two lateral spheres into the central one, the molecules occupying the outer parts of their surface will, from this position, be the last to reach the line indicating the superficies of the aggregate sphere, where they must remain; and that, as those on the parts of their surface contained within the area of the circle intended to represent the section of the same sphere will be the first to be carried by the motion of the inner mole- cules forwards to the same circle, beyond which, according to the hypothesis, they cannot go, and consequently where they must remain also, it must follow, that when the BY MOLECULAR COALESCENCE, 29 coalescence is complete and all the molecules of the lateral spheres have become collected into the central one, its superficies will be made up entirely of molecules which had before been contained in the superficies of the component spheres. And as the same reasoning will apply to the next and all the subsequent laminz, it is obvious that the greater part of the molecules which had occupied any given position relatively to the centre of each of the component calculi, will be similarly placed with respect to the centre of the aggregate calculus. If the two compo- nent spherical caleuli be similarly laminated, as repre- sented in Fig. 3, a and 4, it will be apparent, on inspection of these figures, that at the contiguous extremities of any two laminz similarly situated in the two coalescing spheres the molecules of each lamina will be under the same mechanical conditions; that is, the attractive forces, acting upon the two apposed molecules in the directions of the centres of both spheres, will, as these molecules shift their place, be always exerted with the same intensity upon the one as upon the other. So that when the coa- lescence of the spheres is completed, and there is conse- quently only one centre, these two molecules will le side by side, equi-distant from it, both being in an arc of the same circle. In the same manner all the other lamine will become united, and the two spheres so completely incorporated as to leave no vestige apparent of their former individuality. If one of the coalescing globules is very much smaller than the other, so that their lamine cannot coincide, they will still become blended together, but their molecules about the parts of junction will for some time at least have no definite arrangement. Besides the arrangement of the molecules of these cal- culi mto laminz, as above described, there is also an 30 FORMATION OF SHELLS OF ANIMALS, ETC., arrangement of the same molecules in fine lines, of an imperfectly crystalline structure, extending as radii from the centre of each calculus to its circumference. These radiating lines are not equally distinct in all calculi of the same composition. They are, for the most part, best seen in those of the largest size, especially when broken into fragments, which, in consequence of these calculi splitting up from the centre to the circumference, are wedge-shaped. These fragments require polarized light for their exami- nation. This singular transformation of a condition of carbonate of lime, which, when im small pieces, was per- fectly globular and appeared to be completely homo- genous, into an imperfectly crystalline structure after these same particles had become incorporated into large spherical masses, will require now to be considered, and the cause of the change from the globular mto the crys- talline form explained. Now, as these changes are due to the same arrangement of the molecules of carbonate of lime as takes place in the production of true crystals, they cannot be explamed intelligibly until the causes producing the ordinary crystalline forms are fully con- sidered ; hence the further consideration of the structure of spherical calculi must of necessity be interrupted by some observations upon the nature and cause of ordinary crystallization. As crystalline forms occur in a great many organized structures, the explanation of the causes leading to their production must be considered as belong- ing to the physiology of tissues, and therefore as demand- ing the same consideration as the other constituent forms of these tissues. Any part, to be studied properly, must be considered in its totality, and not in reference to par- ticular structures only. It has been observed, at the beginning of this paper, that, when the carbonate of lime BY MOLECULAR COALESCENCE. 31 is formed in pure or common water, its first form is crys- talline ; but when formed in the same manner in water containing a viscid substance in solution, its form is globu- lar. In the former case the molecules of carbonate of lime are uncombined, and therefore, in its crystalline state, it may be regarded as pure; in the latter, the carbonate of lime is combined with the viscid substance, as can be shown by chemical analysis, and therefore in its globular form it is obviously an impure carbonate—a compound of this substance and gum, or albumen. The facts requiring explanation are these: that, when the molecules of pure carbonate of lime, that is, carbonate uncombined with a viscid substance, come into existence, they immediately commence arranging themselves in straight limes, and thus, when collected together, form rectilinear figures or erystals; but when the impure carbonate, that is, carbon- ate combined with a viscid substance, comes into existence under similar circumstances, its molecules assume a curvi- linear disposition, and hence become collected mto glo- bules. Now, as these forms of arrangement are exactly the reverse of one another, and as the curviliear form has been shown to be the effect of attraction, the recti- linear arrangement might have been inferred to be the effect of repulsion, or at least of some force causing the separation of the elementary molecules of the pure car- bonate. Hence it appears, that when the gum or albu- men is intimately combined with the ultimate particles or molecules of carbonate of lime, it confers upon them a property capable of neutralizing this inferred repulsion ; and thus, making the molecules of this compound indif- ferent in respect to any inherent attraction or repulsion existing among themselves, they become amenable to the effective operation of gravity, a force which is ever in 32 FORMATION OF SHELLS OF ANIMALS, ETC., action, either effectively or imeffectively, upon the mole- cules of all bodies. It may now be asked what the property conferred by the viscid substance upon the car- bonate is, and in what way it acts in producing such an effect as that inferred. In answer I may observe, that it is not only gum arabic and albumen which act in this manner upon the carbonate of lime; glycerine has the same effect, and probably all other viscid substances, if only they are capable of combining intimately with the nascent carbonate. Hence this effect of viscidity may depend upon some property of animal or vegetable matter, which is no other than a form of attraction peculiar to organic products, differing from chemical attraction in producing its effects, independently of any chemical change in the substances acted upon; as, for instance, when two recently exposed surfaces of elastic gum are brought together, they unite without any sensible development of chemical action, differmg from the attraction of gravi- tation in taking place only at insensible distances, and, lastly, differmg from that force which acts idiscrimi- nately upon all substances, organic and inorganic, called cohesion, in possessing in connexion with a certain amount of adhesiveness, a degree of elasticity, the two making up together the property called viscidity or tenacity, a pro- perty occurring only, with the exception of certam com- pounds of silica, in substances of animal or vegetable origi. Now, as to its action, it may be observed that if this power of attraction still continues to be exerted between the ultimate molecules of this class of substances, after their union with the carbonate of lime, as was exerted by visible portions or large masses of these sub- stances when uncombined, it is perfectly conceivable that such a union would affect the repulsive or separating BY MOLECULAR COALESCENCE. 33 force exerted between the molecules of the pure carbonate, so as to render the molecules compounded of both sub- stances neither attractive nor repulsive, and therefore susceptible to the effective operation of gravity; and certainly the fact of the ready and intimate union of these compound molecules, as abundantly manifested im the operation of coalescence, shows that this supposition has a weight of evidence in its favour which amounts to proof or demonstration that the point first supposed is in reality a fact; and hence, considering all the circumstances of the case, the attraction of tenacity inherent in the gum, the repulsion or some such influence existing between the nascent particles of the pure carbonate of lime in the act of crystallization, and the universal operation of gravity, it is difficult to see how the effect could have been other- wise than experiment has shown it to be, at least in kind. But in its amount or degree it may vary, producing all the results intermediate between the production of im- perfect crystals and perfect globules, according to the relative amount of the forces in operation. Of the three forces mentioned in the preceding explana- tion of the manner in which the rectilinear arrangement of the molecules of the carbonate of lime is changed into a cur- vilinear arrangement by the action of viscid substances, the existence of two is universally admitted by philosophers, namely, gravity and tenacity, though the latter, if not con- sidered a distinct force, is at least regarded as a form of cohesive attraction ; consequently, there remains only one force, which, having been so far only vaguely indicated as repulsive, or capable of causing the nascent molecules of pure carbonate of lime to assume the rectilinear or crystal- line arrangement, demands further consideration. As the demonstration of the nature and operation of this force, as 3 34 FORMATION OF SHELLS OF ANIMALS, ETC., displayed in the act of crystallization, rests partly upon experimental and partly upon rational evidence, and as the former will supply data for the latter, it will be neces- sary to describe first some facts connected with the change of the crystalline into the globular form, as well as some facts directly connected with the production of crystals— facts which have not been before mentioned in this paper, but which have formed a part of a communication con- tained in the ‘ Transactions of the Microscopical Society,’ published in the ‘Quarterly Journal of Microscopical Science,’ for January, 1858. It has been already ob- served that there is in gum arabic, besides malate of lime, triple or ammoniaco-magnesian phosphate. Although this latter compound has not to my knowledge been given as a constituent of this substance, yet the elementary con- stituents entering into its composition are given in the analysis of gum by several chemists. (See Turner’s ‘Chemistry, p. 855.) When the two solutions, of the density and composition prescribed in the formula for making the artificial calculi, are brought together in the manner there directed, a malate of potash and carbonate of lime will result; and if the quantity of alkali had been only just sufficient to neutralize the vegetable acid in combination with the lime, the globular carbonate of lime would have been the only compound formed and depo- sited, while the triple phosphate would remain in solution. But an excess of carbonate of potash is ordered to be put into the denser solution, so that, after one portion of alkali has precipitated the carbonate, the other may set free the triple phosphate, and these combining form the largest kinds of artificial calcul. Now, as the carbonate is formed first, it will of necessity occupy a position in the mixing fluids above that occupied by the triple phosphate, BY MOLECULAR COALESCENCE. 35 but if the density of the two solutions be properly adjusted (and it is upon this circumstance that the success of the experiment mainly depends), the principal part of the globular carbonate and triple phosphate will be produced at about the same altitudes; and thus, their particles beig borne up by the nearly equal density of the fluid me- dium in which they are contained and kept in motion by the diffusion of the unequally dense fluids, will be placed under mechanical conditions in all respects favorable to the mutual attraction of a great quantity of floating par- ticles, and to their final coalescence. If the density of the alkaline solution exceed much the degree mentioned in the formula, and if that of the simple solution of gum is not equal to the degree there specified, the alkali diffu- sing itself through the simple solution of gum more rapidly than the gum contained in the lower solution, a larger quantity of carbonate will be formed than there will be gum to combine with it in the proportion neces- sary to form the globular carbonate, and, consequently, the carbonate of lime formed in the upper part of the bottle will be deficient in gum, and therefore it will be erystalline and not globular. Now, as the forms of the deposit on one of the slides employed in this experiment will be the same as that in the fluid in contact with the lower side of it, the position of these slides being such that no particles in descending perpendicularly can fall upon their lower surface, the examination of the particles of carbonate attached to this surface will show the form of the deposit in the corresponding regions or altitudes of the fluid contained in the bottle, and consequently the re- sult of the conditions stated in this experiment will be best seen by examining the carbonate adherent to the lower side of one of these slides. Hence, in the case just 36 FORMATION OF SHELLS OF ANIMALS, ETC., specified, the uppermost part of the deposit will exhibit perfect crystals, that immediately beneath it crystals be- ginning to have their angles rounded off, and the exami- nation thus continued successively upon still lower por- tions, will show the gradual passage of imperfectly recti- linear figures into forms perfectly spherical. If, on the contrary, the density of the lower or alkaline solution be not sufficient, the smaller globular particles will fall to the bottom of the bottle before they have had time to coalesce m sufficient quantities to form the larger calculi. But when the densities of the two solutions are properly pro- portioned, as in the formula before given, no crystalline carbonate will be found adherent to the upper part of the slide, but only globular carbonate of lime; lower down there will be the latter compound, triple phosphate, and a mixture of the two. This mixture will be in the globular form, and presenting different appearances according to the relative proportions of the two component ingredients ; if there be an excess of triple phosphate, the surface of the calculi will be studded with minute bright crystals, but if an excess of the carbonate no such appearance is present, but their surface will be smooth, and their inte- rior more or less finely lamimated. At some distance below these nothing but crystals of triple phosphate will be seen. Now, the examination of these crystals in refer- ence to the gradual change their form undergoes is very remarkable. Beginning with the lowest and proceeding upwards, these crystals will be seen to be at first beauti- fully perfect, presenting angles and edges sharply defined and perfectly rectilmear. Next, as they are examined higher on the slide, where they begin to mix with the cor- bonate of lime, they will be observed gradually to lose their rectilinear and angular form, and to become irregu- BY MOLECULAR COALESCENCE. 37 larly oval, and lastly, as before observed, they become per- fectly spherical. The transition from the crystalline into the globular form takes place according to the increase in the quantity of carbonate mixed with the triple phosphate, until the quantity of the former is sufficient for perfect globules. The incipient stage of this transition is fre- quently indicated by a shght molecular change in the middle of the crystals, producing a circular nebulous area, resembling an obscure nucleus. All these appearances can generally be seen on the slides prepared in the man- ner before directed (at p. 5 to 7), especially if examimed by polarized ight. As I believe no facts of a similar kind have ever been noticed, at least in any artificial products, though something similar is sufficiently common in natural ones (but these have generally been attributed to a vital cause), I will give a short explanation of what appears to me to be the manner in which they are produced. But first I may notice a circumstance connected with this sub- ject which may appear singular, namely, that the triple phosphate, produced as it 1s in the same solution of gum as the carbonate, should not, like it, be globular, that is, that the tenacity of the gum should not oppose the recti- linear arrangement of the molecules of the triple phosphate, as well as the molecules of the carbonate of ime. Proba- bly this circumstance admits of no other explanation than the one commonly employed in chemical reasoning, and which may be inferred from the fact that the carbonate of lime, having a tendency to combine with the gum, or an affinity for it, which the triple phosphate has not, enters into a minute state of combination with it, whilst it does not combine in the same way, that is to say chemically, with the triple phosphate. A similar difference has been before observed with respect to the action of gum on the 38 FORMATION OF SHELLS OF ANIMALS, ETC., four alkaline earths, where it is stated that the carbonate of magnesia is the only one which does not become globu- lar in a solution of gum. (See p. 7.) In this respect, there is a resemblance between the ammoniaco-magnesian phosphate and the simple carbonate of magnesia. There is also another fact connected with the same property of the carbonate of lime that may be mentioned, which is its property of combining with hard substances. This is best shown by its action on the glass of the slide upon which it is deposited. The particles of this substance which are attracted by a slide and detained for some weeks in con- tact with it, become so intimately blended with its sub- stance that, after the surface is washed with hydrochloric acid, impressions are left on the slide of the form of the part of the globule attached sufficiently deep to admit of being received on a film of collodion, on which they can be seen by the microscope. Hence the slides which have ‘been employed in making the artificial calculi never re- cover their transparency, but remain more or less dull according to the time they had been in the solution of gum. The form of these calculi becomes also affected. The dumb-bell-shaped ones are made longer than those which had been formed whilst floating in a fluid medium. The elliptical particles, in the place of having a regular elliptical contour, as when formed whilst suspended in fluid, are lengthened, by the attraction of the glass opposing re- sistance to the apposition of their constituent spherules. They are also shaded off at one of their poles, that which had been most forcibly attracted by and blended with the surface of the slide ; and the calculi of the largest size are flattened where they were in contact with the glass. Also, if the surface of the slide had been scratched, the caleuli becoming attached to these parts im greatest quantities BY MOLECULAR COALESCENCE. 39 will be arranged in lines, the scratches generally passing through their centres. Now, from these facts it can easily be conceived that, when the globules of carbonate of lime and the crystals of triple phosphate, both floating together in the same fluid medium, are brought into con- tact by their mutual attraction one for the other, the car- bonate of lime will enter into intimate union or combina- tion with the triple phosphate, as it had been before shown to do with the glass, and form a compound of the two substances, in which the molecules of the triple phosphate would be brought within the sphere of the attraction of tenacity of the gum contained in the globular carbonate of lime. Whentherepulsive or impulsive force before operating upon the molecules of the triple phosphate, and causing them to be arranged in straight lines, would be neutralized by the force of attraction of tenacity in the gum of the globular carbonate, and the molecules compounded of the two sub- stances being nearly indifferent in respect to any specific attraction or repulsion now residing in their own mole- cules, would be amenable to the effect of universal attrac- tion, and thus undergo the same processes, first of disin- tegration, and then of conversion into spherules, as if all the molecules had consisted of simple globular carbonate of lime. Decisive proofs of the existence of these pro- cesses of disintegration and of coalescence can be seen on examining slides containing crystals of triple phosphate passing, as they become mixed with the particles of globular carbonate, from the erystaline to the globular state, already observed. Now, as in such combinations the attraction of tenacity may be inferred to get weaker just in proportion as the globular carbonate combines with in- creasing quantities of triple phosphate, the attracting con- stituent in this instance being diffused through a larger 40 FORMATION OF SHELLS OF ANIMALS, ETC., portion of material not possessing the property of tenacity. Hence such relative proportions of globular carbonate and triple phosphate may be conceived to exist together in the same calculus as to render the attraction of tenacity acting upon its molecules very feeble, or wholly inoperative. In which case a compound would result, whose particles in themselves are neither attractive nor repulsive; and therefore, when brought together into a globular form, would owe that form entirely to the attraction of gravita- tion. This is an important conclusion, as such a calculus would admit of being disintegrated, by reversing the di- rection in which gravity, during its formation, acted upon its molecules, provided only the attractive force im the re- versed direction is greater than that which keeps the mole- cules together; and thus it would be the means of adding analytical to the synthetical evidence already advanced on the subject of molecular coalescence. Now, I may observe that such calculi as the above can be prepared, and after that disintegrated, on the principle above mentioned; but the further consideration of this subject, with an account of the experiments required to illustrate it, will be given in a separate article on ‘Complete or final Molecular Disintegration.’ (See p. 54). And as this subject throws no light on crystallization, its introduction here would be inconvenient, and therefore I will proceed to consider another fact, also showing the feeble condition of the force which preserves the molecules of the caleuli composed of the globular carbonate and triple phosphate in their spherical form, and the near approach that there is in these calculi to an extinction of the attraction of tenacity. The experiment showing this fact consists in exposing a slide prepared according to the formula, and having upon it all the varieties of calculi already described, BY MOLECULAR COALESCENCE. 4) to a temperature of 212°, either by simply heating it, or immersing it im boiling distilled water, or in oil, turpentine, or Canada balsam raised to that heat, when the calculi containing the triple phosphate, as well as the crystals of the same substance, will instantly become changed into masses of rhomboidal crystals of various sizes, whilst the calculi composed only of globular carbonate of lime will not be sensibly altered. Now, it must be observed, that though the attraction of tenacity may, in the above in- stance, have assisted in preserving the integrity of the calculi containing the largest proportion of the tenacious matter, yet if this attractive force exceed a certain limit, it will prevent the act of coalescence by effectually opposing the action of gravity in the preliminary stage of disintegration. Hence all the phenomena of coalescence must take place between this limit and the total extinction of the attraction of tenacity, and it is the result of experiment which alone can prove whether the conditions proper for coalescence are included or not within these two limits. The production of crystals, as observed in this experiment, is different to that under which crystallization ordinarily takes place. There is no indication of a prior state of solution, or igneus fusion, but the molecules of triple phosphate appear to pass directly and instantaneously from one form of arrange- ment to a different one, and, in the spherical particles, from a curvilinear to a rectilimear arrangement. As this takes place about the boiling point of water, it might have been thought, especially in the case of the crystals, to be produced by the solution of the triple phosphate in some combined or interstitial water raised to 212°, on the cooling of which it had again crystallized, though in a different form. If this effect had followed only the im- AQ FORMATION OF SHELLS OF ANIMALS, ETC., mersion of the slides in boiling turpentine, Canada balsam, &c., this observation might have been true; but occur- ring exactly in the same manner in water, it cannot be so, as the crystals must, under such a supposition, have been sufficiently soluble in boiling water to have been entirely dissolved off the slide, which is contrary to the fact; hence some other explanation must be sought for. This sudden formation of crystals in one of these compounds, by a cause which does not sensibly affect the other, seems to me to admit of explanation in different ways, and on different hypotheses. It may be supposed, that the separating force to which the rectilinear arrangement observable in crystals is due, is a form of repulsion, and, that in the compound of globular carbonate and triple phosphate, the attractive and repulsive forces acting upon their molecules are nearer the condition of equilibrium than in the simple globular carbo- bonate, so that when these two forces are weakened equally in both substances by the temperature of 212°, a preponderance of the repulsive over the attractive force, indicated by a change of the curvilinear into the rectilinear arrangement of the molecules, takes place in the com- pound of globular carbonate and triple phosphate, but does not sensibly affect the molecular condition of the simple globular carbonate, the attraction of tenacity still holding them together. Or, if the repulsive force were equally augmented in both substances by the same eleva- tion of temperature, the effect would be the same upon the two compounds as that just mentioned. Hence the application of heat in this experiment may have produced the effect of sudden crystallization in two ways—either by weakening the uniting force without affecting the separating one, or by augmenting the separating force with- out affecting the uniting one. BY MOLECULAR COALESCENCE. 43 It now remains to consider to which of these forees—the attracting or the separating one—the production of crystals as shown in this experiment, is due. Before proceeding further, I may observe, that the evidence, both rational and experimental, is altogether in favour of the latter. It was noticed in the last experiment that rhomboidal crystals, formed in the crystals of triple phosphate, re- sembled in every respect those formed in the globules com- posed of triple phosphate and carbonate of lime. Hence, in the case of these crystals, where the only force acting upon their molecules is repulsive, as shown by the fact of their form being crystalline, the mere change in the arrangement of their molecules from one rectilinear figure to another, presents nothing indicative of attraction, but quite the contrary ; and therefore, in this instance, a re- pulsive force must be inferred to be the sole agent con- cerned in their production. Now, it must be particularly noticed, that this observation applies only to the primary act of giving to the molecules their first form, that is, to the production of the first or primative crystals; for after- wards these forms are joined together, and so made into crystals of different sizes by the action of gravity. There is a circumstance connected with this experiment requir- ing especial notice, as calculated to throw some light upon the nature of this and the repulsive or separating force. The circumstance to which I refer is the sudden and instantaneous manner in which perfect crystals are formed, differing in this respect so much from the slow and gradual manner in which the globules are produced. The latter can be seen to be produced by the coalescence of particles of all sizes, but of no exact geometrical figure, though all curvilinear, and to increase in their dimensions by successive coalescences or stages, one stage imper- AA. FORMATION OF SHELLS OF ANIMALS, ETC., ceptibly blending with another, so that if these globules be broken up, no definite form can be detected which can be taken as a primary one, but everything gives indica- tions of their formation being due to the operation of a continuous force. The larger crystals, on the contrary, are formed instantaneously, and built up of particles of the same form, and doubtless of the same size, showing that the force which was employed in their production had been divided into separate impulses, each impulse be- ginning and ending with one of these primary forms, which in some degree may be taken as a measure of the amount and an indication of the mode of operation of the force employed; so that there is every appearance that the formation of these crystals was the result of a succes- sion of separate though similar impulses. Hence, the force producing rectilinear molecular arrangement may be inferred from this experiment to be impulsive, and thus crystals may be considered as the result of separate im- pulses acting upon the molecules of those substances which assume the crystalline form. This inference is particularly strengthened by the fact, that there exists in nature no known force, or combination of forces, which acting continuously and in conjunction with gravity, is in any way adapted to produce a sustained rectilinear mo- tion. It has been suggested that the electric and mag- netic forces (the one always intersecting the plane of the other’s action at right angles) are conducive to this re- sult; but it must be remembered, that even if the pri- mitive particles of matter were impelled in straight lines by a rectilinear current thus produced, it would not dis- pose them rectilinearly, unless they were solely under its influence—a supposition which would exclude the action of gravity, which has been shown by the facts of BY MOLECULAR COALESCENCE. 45 molecular coalescence to act continually upon the smallest particles of matter. Hence, if the action of such a current were a fact, all the nascent mole- cules of a crystallizable substance would be simul- taneously acted upon by two very dissimilar forces, and also in no fixed or definite direction, the direction depending upon the position of the attracting particles m reference to the direction of the rectilinear current, which might at one instant oppose, at another coincide with, at other imstants be inclined at varying angles to, the direction of this supposed current; and thus these molecules would either have their motion only retarded or only accelerated, or, if neither of these effects were produced, they would be disposed in curves depending upon the relative intensities and directions of the motor forces, but they would never be disposed in straight lines, as in per- fectly rectilinear crystals. A question will now arise as to the nature of the agency employed in the communication of the impulsive motion to the nascent molecules of the erystallizing substance, and its adequacy to account for all the phenomena of crystallization. In the preceding course of experiments crystallization is shown to take place under two sets of conditions, differmg altogether the one set from the other. The one is where the formation of crystals is the result of chemical action ; the other, where crystals are produced on the application of heat to a body as yet not at all crystalline, or only very imperfectly so. Now, both these are well known to belong to a class of cases attended with an evolution of electricity ; so that, in the first case, the molecules of carbonate of lime, the instant they come into existence, may be inferred to be im a state of electrical excitation, and as the composition of every molecule is the same, and as the conditions under 46 FORMATION OF SHELLS OF ANIMALS, ETC., which they are all placed are alike, the electricity of every one will doubtless be the same, and hence they will repel one another. The second case is a mere instance of thermo-electricity, in which electrical excitation is produced by the unequal conduction of heat. Hence there is no extravagancy in the inference that in both these cases the crystallizing particles, being under the infiuence of like electricities, should be self repulsive, or rather, as this state is acquired in an instant, and as instantaneously brought imto operation, self-propulsive. Indeed, the bare fact of these particles becoming rectilinearly disposed under such circumstances is an experimental proof of the existence of an agency capable of exciting upon them a repulsive power. And as there is no other known power capable of producing, under the same circumstances, a like effect, excepting electricity, it may fairly be considered as the power in question. As to the adequacy of simple electricity to account for this fact and the ordinary phenomena of crystallization, it may be observed that the impulsive power of large discharges of this agent are too well known to leave any doubt upon this head. It is certain that, in the last experiment, the sudden production of perfectly crystalline forms in such hard globular bodies must have required a considerable amount of mechanical force, considering that the molecules of these bodies could not have taken up a new position without in some degree displacing the particles contiguous to them, and so dis- turbing, more or less, the cohesions of the entire calculus. But what other known force is there m nature which could have achieved this besides electricity? Caloric, actmg m different ways and through different means, might have broken these bodies into pieces, but it could not have put them together again in regular geometrical forms. To 4 BY MOLECULAR COALESCENCE. 47 demonstrate exactly in what manner the electrical force must act upon the molecules of these calculi, as well as upon those of other crystallizable substances in the act of crystallization, so as to give them that crystalline arrange- ment which they have been shown suddenly to acquire, it will be necessary to divide, mentally, this process into different parts, and to investigate these separately, and afterwards to consider them as they would act together. First, then, let the molecules about to take on the crys- talline form be: supposed to be in isolated groups, one group being incapable of influencing the other; and suppose that im an instant all these molecules become endowed with the power of repelling one another, and it will be obvious that the molecules of each group will suddenly become divergent and tend to arrange themselves in a spherical form, of which the central molecule of the group, retaining still its position, will be the centre, whilst all those around it will be thrown into diverging lines or radii goig from that centre. Next, suppose two such groups of equal size, placed side by side, to be acted upon in the same manner as the above, and it will be at once apparent that, as their adjacent molecules are impelled in directions which intersect one another, their motion beyond the point of intersection would be retarded and the force communicated to them diminished, the y degree of diminution being as the sine an of the angle a, c, B (see the accom- ) panying diagram). Hence, at the point a the line a, 8 will denote the amount of the attraction of gravita- tion necessary to balance the force of impulsion acting on the molecules at a, and so to bring them into the condition of rest. 48 FORMATION OF SHELLS OF ANIMALS, ETC., And as the same reasoning would apply to the molecules on the other side of the line c, c’, a quadrilateral area would be enclosed corresponding to the superficies of a primitive crystal. And extending this reasoning to similar groups situated on all sides of the one first supposed, a solid quadrilateral form would result corresponding to that of a primitive crystal. Though all crystals thus formed would be quadrilateral, yet their exact shape will vary according to the size of the angle a, c, s. If this angle be less than 45°, then, as the three angles of every triangle are equal to two right angles, c, a, c’ will be greater than a right angle, and the form of the crystal represented by ac, 4c, will be rhomboidal or lozenge- shaped. But if the angle a, c, B be exactly 45°, then the angle c, a, B will be a right angle, and all the angles of the figure a c, a’ c will be right angles, and therefore the crystal represented by this figure will be rectangular. Now the molecules at the point 3B, being impelled in opposite directions and with an equal force, will be kept in their place without the aid of gravity, and therefore here, where the sine of the angle a, c, B vanishes, the attraction acting upon the molecules will be at zero. But as the force of attraction required to balance that of repulsion estimated from the point B increases as the sine of the angle a, c, B, the density of these crystals, being as the attractive force holding their molecules together, will be least at the centre and greatest at the surface. This inference agrees with several recorded facts connected with the polarization of light by crystals. As, during the formation of the primitive crystals of different crystallizable substances, or during the formation of those of the same substance under different circumstances, different quan- tities or intensities of electricity would doubtless be evolved, BY MOLECULAR COALESCENCE. 49 whilst, under the same circumstances, and where the chemical action had the same amount of activity, these would always be the same, there ought to be a corre- sponding difference in the shapes and the sizes of different primitive crystals, agreeing with the uniformity, or want of uniformity, of the conditions under which these crystals ave formed. After these first crystals are thus produced, they will become grouped together and built up by the action of gravity into other forms depending upon the order and manner in which they are packed together. But, as this belongs exclusively to the subject of crystal- lography, I shall not enter systematically into it. There is, however, room for another observation connected with this part of the subject. It may be asked by what the primitive atoms or molecules are prevented from coming into absolute contact after the cessation of the chemical action, and the consequent evolution of fresh portions of electricity. It is not improbable or incon- sistent with the facts of electrical isolation, that these molecules should be sufficiently isolated to retain their state of electricity, and therefore continue, after the subsidence of the chemical action, to repel one another. However this may be, it is certain that there is one agent of universal existence as a repelling force, namely, caloric, which will prevent in these instances the absolute contact of molecules. But how far caloric is rightly to be regarded as a distinct force, or only as one of the sensible effects of the same agency as electricity, it is not necessary here to consider, as it is only the fact of its separating or repulsive power which is insisted on. I may observe that the simple rectilinear forms shown in diagram, page 47, into which the molecules of adjacent groups are supposed to be thrown by the impulsive forces acting according to the 4 50 FORMATION OF SHELLS OF ANIMALS, ETC., hypothesis, are exactly lke those of the smallest crystals on the heated slides, before mentioned. And also it may be observed, that in examining good specimens of these crystals the larger can be seen to be made up of crystals of a variety of sizes, and therefore to be divisible into smaller ones, and these again into crystals still more minute, though of the same form, and so on, until the size becomes so diminutive that the true figure is inappreciable by the highest magnifying powers. (I have slides contaiming distinct rhomboidal crystals of 4¢'55th of an inch im length, and containing other crystals not more than 39$5oth or zodooth of an inch long.) Hence it may fairly be inferred that this same form, being the simplest and most natural, and of all rectilmear figures most easily produced, would continue diminishing in size until a crystal would be arrived at whose further division would separate it into its constituent molecules, that is, into those portions of matter which, their inertia being overcome, are the first to be put in motion under the combined influence of impulsion and gravity. Now, applying the reasoning employed at pages 47 and 48 to the formation of just such a crystal, it will be seen that one of the molecules, thus impelled, which is to form a part of this crystal, would instantly encounter another molecule put im motion at the same time and under the same mechanical conditions, and the two being as instantly arrested by the predominant action of gra- vity, would become fixed in their position. And by the same process of reasoning, the other molecules could be shown to be added, until the formation of the crystal is completed, all the molecules which composed it bemg put in motion and brought into the condition of rest by the simultaneous operation of the same forces, namely electricity, the agent generating the impulsive BY MOLECULAR COALESCENCE. 51 force, active inertia, and gravity. Now, if it be admitted that the size of this first crystal is such, that is, that its component molecules are so close together that they are all put in motion and afterwards brought into a state of rest by only one impulse; or, what is the same, that the impulse given to any one molecule could not for want of space be repeated, then no part of a curve could possibly enter into its contour, since this contour would on this supposition be made up only of the first material points of the curves which each of these molecules would describe separately, if it continued in motion under the conjomed effect of an impulsive and attractive force. As this explanation perfectly agrees with the earliest appreciable forms and appearances presented by crystallizable sub- stances in the act of crystallizing, and as I believe it is the only explanation which in principle can account for the rectilinear form of crystals, produced as they are under circumstances all tending to cause curvilinear arrangement, it may be inferred to be the correct one. It goes also to furnish conclusive evidence that the principle upon which this explanation is based, and the premises from which it has been deduced are real; and moreover it goes to show that several of the points which have only been assumed in the course of the discussion, or imperfectly demonstrated, are themselves facts. Now, after a primitive or first crystal has been thus formed, it can easily be conceived that, as a multitude of such crystals are all formed together at the same instant, they will be brought by the attraction of gravitation imto apposition, and the juxtaposition of their flat surfaces being favorable for extensive contact, they will be forcibly drawn together, and retained in the rectilinear form by the action of gravity, and thus larger rectilinear crystals will result, 52 FORMATION OF SHELLS OF ANIMALS, ETC., which, being packed together in different ways, will produce all the varied forms peculiar to the several classes of crystals. Now, as the molecules or atoms composing the primitive crystals are finite magnitudes, the same observation will apply to the apparently smooth crystals as was applied to the apparently spherical calculi; namely, that as the latter were only polygons of a number of sides corresponding to that of the molecules contained in the most superficial lamine, so the former, however sharp their angles or smooth their surfaces may appear, neither their corners are geometrically angular nor their surfaces and edges mathematically plane, but both will present in- equalities of the same shape and size as their ultimate molecules. This explanation of the process of crystalliza- tion is not at all inconsistent with the fact of the expan- sion of water prior to and at the instant of congelation, as it is not improbable that, after a certain degree of approxi- mation of the molecules of water, electricity is evolved, causing at first expansion, the obvious result of molecular repulsion, and afterwards rectilmear molecular arrange- ment, the consequence of impulsion, this latter taking place suddenly. The force of expansion is well known to be very great, its total effect being probably equal to the sum of the impulses of all the moleeules of the freezing liquid. It is very probable that this might easily be de- termined by experiment. I may observe that I consider this observation as altogether unconnected with what has been before advanced, and merely regard it as a suggestion quite as likely to be true as any other explanation which may have been given of this remarkable fact. Having now discussed fully the subject of crystalliza- tion, I shall proceed to apply the facts elicited by the dis- cussion to the explanation of the cause of the radiated BY MOLECULAR COALESCENCE. 53 structure of the larger globular calculi as noticed at page 30; where, as well as in other parts, it has been observed that the globular carbonate of lime, when in small quan- tities, exists in the form of bright, homogeneous spherules, looking very much like globules of oil or bubbles of air, but that, after beimg incorporated into large spherical masses, these forms entirely vanish, and are replaced by concentric laminze and fine lines radiating from the centre to the circumference. The formation of the laminz has been explained; it now remains to consider that of the radiating lines. Now, as the explanation of all the ap- pearances presented by these calculi has so far been shown to be the result of attraction, it is only a fair in- ference that these lines also are due to the effect of the same force. But in the last article attraction has been shown to be the direct antagonist of rectilinear molecular arrangement; therefore an apparent incongruity arises, which I will now explain. In perfect spheres, constructed on the principle of universal attraction, all the molecules, being attracted in directions parallel with their circumfer- ence by equal and opposite forces, are as if not attracted at all by any force acting upon them laterally ; and there- fore the sensible effect of gravity upon these molecules can only be exerted in one direction, that is to say, it can only act im straight lines extending from the circumference to the centre. Hence, such being the action of gravity in spheres, it is clear that so far as the rectilinear arrangement of their molecules is con- cerned, the effect of gravity, and that of impulsion upon them is the same. But attraction thus operating upon these molecules does not produce perfect crystals, nor does impulsion acting on similar molecules produce lines like these. These lines, though presenting an im- D4 FORMATION OF SHELLS OF ANIMALS, ETC., perfectly crystalline appearance, are deficient in other characters belonging to true crystals. They are adherent on all sides to the contiguous lines, and therefore they have no definite form. These lines, though without doubt present in the smaller globules, are not apparent, partly from their minuteness, and partly from the great convexity of such globules and the high refractive power consequent thereon rendering their detection difficult or impossible. Hence the cause of these mechanical conditions under which the molecules are placed in spherical calculi, which render it impossible that their arrangement could be otherwise than rectiliear, bemg now shown, and the differences between these lines and true crystals poimted out, the seeming incongruity before mentioned vanishes, and this circumstance itself furnishes a certain amount of evidence in proof of the correctness of what has been before advanced on both subjects—the formation of spheres by molecular attraction, and of crystals by mole- cular impulsion. It was observed at page 40, that a separate considera- tion would be given to a process of complete or final mole- cular disintegration, there merely alluded to, and that some experiments demonstrative of this process would be described. I will therefore now proceed to consider this subject, which I may observe is in no respects inferior in importance to those already treated of, and perhaps in some respects more remarkable. ON COMPLETE MOLECULAR DISINTEGRATION. In the explanation of the process of coalescence of two globules of carbonate of lime into one, it was observed that, before these globules could become incorporated, BY MOLECULAR COALESCENCE. 55 their molecules must be displaced from the position which they had occupied in relation to the centres of these two spheres, and be disposed around the centre of one sphere, containing all the molecules, which, before coalescence, were contained in the two. This part of the process of coalescence was called molecular disintegration. Now, there is another case in which exactly the same physical process takes place, but under different circumstances, and is therefore attended with different results. This I shall call final or complete molecular disintegration. It would seem, on examining specimens showing this pro- cess, to consist in the complete separation and dispersion of the molecules of certain compound calculi, leading to their total disappearance. But the fact is, that their molecules, in the place of becoming, after disintegration, collected into one large calculus, as in the disintegration before noticed, join together to form numerous small ones of different shapes, becoming dumb-bell ellipses or sphe- rules, some of such extreme minuteness as only to be just visible by the microscope. The process by which this is effected, and the physical conditions under which it takes place, will form the subject of the present article. It will be seen, on referring to page 40, that the spherical figure of the calculi, composed of a mixture of carbonate of lime and triple phosphate, is referred to two kinds of attrac- tion, namely, universal attraction or gravity, and that attraction which exists in a greater or less degree in all animal and vegetable fluids, called tenacity or viscidity, which, for convenience sake, I have called the attraction ot tenacity. The former of these forces, acting at sensible distances, brings the particles of these calculi into con- tact, that is, within the range of the attraction of tenacity, which, acting only at insensible distances, must have been 56 FORMATION OF SHELLS OF ANIMALS, ETC., imoperative but for the previous action of gravity. So that in this way the attraction of tenacity maintains a position intermediate between an universal influence strictly physical, and a condition of matter which seems to connect inorganic with organic forms of existence. The condition which I mean is that of sphericity or rotun- dity of contour, a character which has generally been regarded as one of the characteristic distinctions between inorganic and organic bodies. It is also observed in the same page, that the relative intensity of these two forces is In proportion to the quantities of the triple phosphate and the globular carbonate present. And, for reasons there given, it is further stated, that the more there is of triple phosphate combined with the globular carbonate in these calculi, the less will be the attraction of tenacity ; so that such proportions of these substances may be asso- ciated in these bodies as to neutralize the force of tenacity, in which case their molecules would be held together only by the attraction of gravitation. It is in calculi of this description that the disintegration in question can be best displayed. And the experiments by which this is effected will furnish additional evidence in proof of the principles which have been adverted to in explaining the facts of molecular coalescence, and of their perfect applicability to the explanation which has been given of this process. The following is one of the experiments which, for the convenience of those who may wish to repeat it, I will give in detail. Three bottles are to be charged with the two so- lutions mentioned at page 6, and provided each with two glass slides exactly according to the directions there given. Then one of these bottles is to be tied over with oiled silk, to prevent evaporation of its contents, care being taken not to disturb the solutions. The other two are to remain BY MOLECULAR COALESCENCE. 57 uncovered for three weeks, when sufficient of the fluid in one of them is to be put into the other entirely to fill it, none of the solid material being introduced with it. These two bottles may now stand for six weeks or two months, the one bottle bemg kept full by the occasional addition of fluid from the other. Now, at the expiration of the time mentioned, it will be obvious that the density of the fluid in the bottle which had been tied over, and from which, therefore, all evaporation had been prevented, will be much less than that which had been kept full by the addition of the fluid from the third bottle; and hence the globules on the slides in these two bottles will have been for some time under different mechanical cir- cumstances, one set of globules having been kept in con- tact with a fluid less dense than that m contact with the other globules, whilst the chemical composition of these two will be as much alike as can be under such cir- cumstances. Any difference then which may be found in the globules of the two slides can only be attributable to a mechanical cause. All the solid matter must be re- moved from the upper surface of these slides, and that on the lower, after beimg well washed, may be examined either in Canada balsam or in glycerine, all the slides being treated exactly in the same manner. It will be found, on comparing the specimens, that the globules on the slides taken from the fluid which had not been allowed to evaporate will be clear, with a sharp outline, and either laminated or not, according to the quantity of carbonate in their composition. Indeed, all the globules on these slides will answer to the description given at page 36. The globules on the other slides will be altered in their structure, the amount of difference depending upon the relative densities of the fluids in the different bottles, and 58 FORMATION OF SHELLS OF ANIMALS, ETC., upon the time the slides had been kept in the dense solu- tion. ‘The full effect of this mode of experimenting can- not be obtaimed without varying the experiment above described, especially with respect to the time allowed for the globules to be acted upon by the dense solution. But, as there given, it will suffice to show some of the effects of complete disintegration on the globules composed of triple phosphate and globular carbonate. ‘Those composed en- tirely of the latter component, which are situated higher on the slide, are not in the least affected, however long they may have been kept in the dense solution. This process of disintegration im the former is first indicated by the radiating lines becoming more distinct, especially near the margin of the globules. Afterwards separations occur between these lines, so that the circumference of a globule, in the place of being one sharp line is made up of their projecting ends, giving the appearance of a ciliated fibrous zone, whose breadth depends upon the degree of disintegration. As this process progresses, this zone dis- appears in certain parts, leaving the periphery uneven, and afterwards it disappears altogether, when the globule becomes reduced in size according to the width of the dis- BY MOLECULAR COALESCENCE. 59 integrated zone. And thus the disintegration proceeds until the entire calculus isremoved. (See fig. 4, 4), which accurately represents some of these globules. The disin- tegrated molecules, deprived of the whole or a great part of their triple phosphate, are dispersed through the solu- tion, where some again coalesce, but into much smaller globular and oval particles, exhibiting all the stages of molecular coalescence described at the begimning of this paper, while others reassume a crystalline form. Now, in explaining the cause of this fact, I may repeat the ob- servation, that no kind of disintegration takes place in the globules of simple carbonate of lime on the same slide, that is, in those globules, whose molecules are kept to- gether in the spherical form by two attractive forces, namely, gravity and the attraction of tenacity, but only in those globules in which the attraction of tenacity is neutralized by the combination of triple phosphate with the globular carbonate; and, therefore, it can only be with the former of these forces, namely, gravity, that the disintegrating cause has to contend; and as the conditions of the experiment are such as to exclude the action of all other forces upon these calculi, excepting that of gravitation, it must follow, of necessity, that gravity is the disintegrating agent. And, moreover, as it was shown that these calculi are formed by the force of gravitation drawing their molecules towards their centres, so it must be inferred, that the same force, in producing a directly opposite effect on these caleuli—their disintegra- tion or destruction—will draw their molecules from their centres. In this experiment it is evident that the sur- rounding dense medium would act in this manner, attract- ing the molecules of these bodies with a force exceeding that by which they are attracted by the bodies themselves. 60 FORMATION OF SHELLS OF ANIMALS, ETC., Hence we arrive at a most important physical fact, namely, that spherical bodies, formed on the principle of universal attraction in a medium of given density, become, in one of greater density, gradually disintegrated, and _ their molecules, at first completely separated, afterwards re- arrange themselves in fresh forms. The experiments next to be described, showing the facts of molecular disintegration, have been given already, in the ‘Transactions of the Microsopical Society,’ published in the January number of 1858 of the ‘ Quarterly Journal of Microscopical Science.’ These facts can be demonstrated in a description of artificial calculi presenting characters different im some respects from those already described. They may be prepared by dissolving one pound of gum arabic in two pints of water, and straining the mucilage through a fine hair-sieve, and then putting one pint of the solution, with two ounces of carbonate of potash well mixed together, into a quart bottle, after twenty-four hours adding, by means of a syphon, the other pint of mucilage, and after that leaving the bottle at rest for six weeks or two months, when the calculi will be found ad- herent to its sides, or in the fluid at the surface. Besides these calculi of different degrees of solubility, crystals are formed in these solutions; some consist of bicar- bonate of lime, formed by the free acetic acid in the mucilage combining with a portion of the potash, and setting free carbonic acid, which, uniting with some of the carbonate of lime, forms a bicarbonate. These crystals, being sparingly soluble, remain in the solutions, and chiefly on the surface. I may observe, that in a solution of gum all crystals produced by double decom- position, which do not combine chemically with it, are large and well-formed. Hence such a process may be BY MOLECULAR COALESCENCE. 61 taken advantage of to crystallize salts, otherwise difficult of crystallization. The calculi formed according to this process are very large, being ;5th or jth of an inch in diameter, and spherical, excepting when they adhere to the side of the bottle, in which case they are flattened on the side attached. They are very regularly and beautifully laminated, and coalesce in the same manner as those above described. When treated with weak acetic or muriatic acid they effervesce, and leave a residue of amorphous matter. When dried they retain their globular figure, but show a tendency to split into segments ; their surface is white, and generally smooth, but they do not present that glassy or pearly appearance which is remarkable in those prepared by the other process. Under polarized light they present a distinct cross, and appear somewhat coloured; but do not exhibit the prismatic colours distinctly, like the other calcul. The most remarkable property of these calculi is the facility with which they undergo either partial or complete disintegration. So that they cannot be put up as transparent objects permanently, in any watery fluid. In glycerine they disappear after a few weeks, leaving sometimes a residue having the form of a thin membranous capsule. If heated a little, and then put into hot oil, they first become covered with a feathery coating and afterwards fall into large fragments. This coating seems to me to be produced by their separating the oleine from the stearine, absorbing the one and leaving the other on the surface. But their most smgular property is the partial disintegration which they undergo when removed from the bottle in which they were formed, and put up in a cell filled with the solution taken from the same bottle, and so secured from the access of air that no alteration in its density or chemical composition can take place. 62 FORMATION OF SHELLS OF ANIMALS, ETC., In this case all the carbonate separates from the vegetable basis, and becomes collected into small globular particles of different sizes, mixed with crystals of carbonate of lime. These are scattered about the vegetable residue, which retains the place, figure, and laminated appearance of the original calculus, but when examined by polarized lhght exhibits no trace of earthy carbonate ;.excepting im the centre of each circular portion of residuum, there are two imperfectly-formed crystals joined together, and presenting somewhat the appearance of nuclei in process of division. I have specimens of such calculi, which have been in solution of gum for about nine months. It may not be irrelevant to state that these experiments and examinations have not been hastily made, or made only on scanty materials, but have been repeated over and over again with due care and attention to everything at all likely to affect the results. In considering the cause of disinte- gration as displayed in these calcul, it may be observed, first, that their structure is less dense, as shown by the absence of transparency observable in the other calculi ; and, secondly, that insoluble vegetable matter enters largely into their composition. (Ce = mals. Also examples of Thr et hd ne molecular coalescence in the un ey softer tissues, equally strik- oe if ing, can be seen in the Oeste developing -hooklets of the cysticercus cellulose as described by me in a paper in the ‘ Philosophical Transac- tions’ of 1857. These organs bemg composed of a very highly refractile material, dissimilar in appearance to the adjacent structures, can easily be distinguished in very minute quantities; and these having a spherical figure, admit of being traced through all the changes of form attending the coalescence of the first visible particles, up to that of the recognisable parts of a hooklet. The following is the description of the development of these BY MOLECULAR COALESCENCE. 137 organs, from the paper just referred to, written as early as 1855, before I was acquainted with the coalescing property of the globular carbonate of lime. “The primary con- dition of these hooklets is very remarkable, consistmg merely of a confused and irregular group of very bright particles of a pale straw-colour, which are of various shapes; but still all have a contour more or less curvilinear, and the smaller ones are of a spherical figure. Their size varies from about that of the third part of a handle of a perfect hooklet, to a particle so minute as scarcely to be appreci- able by the highest powers of the microscope. There are all the intermediate sizes between these extremes. Not- withstanding, however, these extremes of size and form, all these particles possess the same optical and physical properties, so as to be perfectly recognisable both when apart and when joined together in the perfect hooklet, in which the larger pieces, formed obviously by the coalescence of smaller ones, can be seen fused (as it were) together, more or less completely in a newly-formed hooklet, where frequently the joining is so incomplete as to amount to little more than mere apposition of the coalescmg parti- cles.’ Now, I may observe that there are only two interpretations which can be given of these appearances. Either they are in reality what I have described them, or they must be hooklets in a state of degeneration, that is undergoing a process of molecular disintegration. The examination by the microscope would furnish no clew to the correct decision of this question, as the microscopic appearances would, in either case, be similar. But, as it can be seen by referring to the original paper, that this appearance cannot reasonably be supposed to be due to degeneration, it may be inferred in this case to be indica- tive of coalescence. For, in the first place, the cysticerci 138 FORMATION OF SHELLS OF ANIMALS, ETC., were in a very early stage of development, as can be seen by their size, which in the plates in the ‘ Philosophical Transactions’ is given, and the figures represent entire animalcules; also, by the diminutive size of the part containing the calcareous particles, called the neck, which is an infallible proof of their immaturity, being, in these specimens, scarcely at all developed ; and by there being, in two of them, only a few of the hooklets, the regular number in the perfect animalcule being twenty-six; and in the second place, I may observe, that the hooklets, which are represented in the plates, were not detached, but are drawn as they were seen in their natural situation in the unmutilated animalcules. And having besides the specimens by me from which the drawings were taken, I am enabled to give satisfactory proof that neither the descriptions nor the plates are made up partly from facts, and partly from imagination. I may also notice, that it would not have occurred to me that these changes could, by any one, ever have been attributed to a state of degene- ration occurring, as they do, in eysticerei which had not yet got the full number of these organs, had it not been stated that such was the explanation given by some pathologists. The next part, showing the fact of molecular coales- cence, which I shall describe, will be the crystalline lens ; and, in examining its true structure and mode of forma- tion, I shall follow the same rule as that observed in the other tissues, namely, that of selecting such specimens as will afford the best opportunity of seeing, in as natural a state as possible, the earliest stage of its development, and the changes of structure dependent thereon, without the necessity of employing such chemical substances, or mechanical mutilation as cannot fail to render the ap- pearances presenting themselves during the examination BY MOLECULAR COALESCENCE. 189 unnatural; and thus more likely to give false ideas than correct views of the structure of this organ. Of all the lenses which I have examined, I have met with none which answers the purpose so well as the lens of a young stickleback, of about three quarter of an inch or an inch long, but it should not be more. This part bemg of small size, admits of beimg seen entire without any further dissection than that necessary to remove it from the eye of the animal, and can be examined perfectly fresh, which in this case is indispensable; and as these animals are everywhere to be met with, the examination is within the reach of any one disposed to make it. Besides, I may observe, that if it be done with sufficient care, and not in an imperfect manner, as too many microscopical ex- aminations are, it exhibits some most interesting and beautiful physical facts. The following is ‘the manner in which the examination may be conducted. The head must be taken off whilst the animal is alive, and an eye removed without delay, which, being torn open by a sharp scapel, the lens enclosed in its cap- sule will escape, and is to be put immediately into a shallow cell filled with water, then a thin glass cover being placed over it, it must be examined at once. A half-inch lens at first, and afterwards a quarter-inch, are the best magnifying powers for the purpose, and it will, of course require to be seen by transmitted light. I may observe that the lens of this fish is nearly of a spherical figure, and that it is divided into an equator and two poles, the plane of the former being at right angles with that of the latter. The superficial layer of fibres, those especially requiring notice, and proceeding from each side of the equator towards the poles, may, from this circumstance, be divided into an anterior and a posterior set, each 140 FORMATION OF SHELLS OF ANIMALS, ETC., covering its respective hemisphere, and converging towards its pole, near to which the fibres appear to dip into the substance of the lens, and insensibly to blend with the nucleus. Now, to obtain the best view of these fibres, and the manner in which they are formed, the lens, whilst being examined, must be placed with either its anterior or posterior surface towards the observer, and with its polar axis corresponding to that of the microscope. In a few seconds after the lens, still enveloped by its capsule, has been in the water, the latter will become visibly in- creased in size, and a space will begin to appear around the edge of the lens, between it and the inner surface of the investing capsule. The lens itself will also become enlarged, and continue enlarging, so long as it is acted upon by the water, until its capsule, becoming incapable of further distension, will burst, and the lens will be either entirely or partially extruded. The time which will elapse after the contact of these parts with the water before this takes place, will depend upon the age of the fish from which the eye was taken, varying from two minutes in a very young fish, to five in an older one. It is at once obvious, that this distension of the capsule, and enlargement of the lens under these conditions, is the effect of endosmose. If the examination is made before any distension has had time to take place, clear, more or less compressed globular particles of an oily-looking fluid, and of very various sizes, will be seen through the capsule lying close to its deep surface. As the distension increases, a clear space around the margin of the lens, between it and the capsule, comes into view, and the before-named oily looking particles becomes more distinct, having increased in size, and apparently in number. They still present no kind of regularity either in shape, size, BY MOLECULAR COALESCENCE. 14] or position, excepting that they all have a rounded form, and the same clear and pale aspect. By a careful adjust- ment of the focus, rows of sharply defined lines placed close together, and at right angles with the direction of the lens-fibres, resembling the marking of very fine voluntary muscular fibre, will be visible. (See c¢, fig. 10.) These lines, however, are sometimes first distinguishable as long closely set striz, running more or less parallel with the surface of the lens. ‘This is not their natural appearance, but arises from the rows being pressed together, and thus the lines of several are made to appear continuous. Such are the appearances visible beneath the capsule of the Fig. 10. lens prior to its becoming ruptured. ‘After this, all the appearances above described become much more distinct, and the causes producing them obvious. Fig. 10 is an accurate representation of these parts, as seen an hour or two after the bursting of the capsule, magnified three hundred diameters, and drawn with the camera lucida. In this stage of the examination, the oily-looking globules, in their turn, have become very much enlarged, by the endosmose still going on. These are indicated in the 142 FORMATION OF SHELLS OF ANIMALS, ETC., diagram by the lettera. Next to these are the globules still somewhat compressed, but yet very much distended, shown by the letter 6. Before the absorption of water by these particles they were apparently empty, and the walls of the contiguous ones being then in contact, the transverse marking, before described, was produced. Still, nearer the centre of the lens, the transverse lines re- main; the sides of these globules having become adherent, and consequently their cavities obliterated. (See letter c.) And, lastly, again, nearer to the centre, all appear- ance of lines, both transverse and longitudinal, has disap- peared, and the structure is entirely homogeneous. This part is not represented in the accompanying figure. During the further distension of these globules the trans- verse lines in some of the rows can be seen gradually to disappear, and then these rows of compressed globules assume the appearance of tubes with bulbous extremities. It as this appearance which probably led Koélliker to describe the ‘fibres of the lens as tubes, having thi walls, which are flexible and soft, and possessed of a con- siderable degree of toughness, with clear, viscous, albu- minous contents, which, when the tubes are torn, escape from them in the form of large irregular drops.” This is just the appearance presented in the figure at a. Now, as my own observations do not in the least agree with the opiion expressed by Professor Kolliker, concerning the origin of this albuminous fiuid, and the tubular character of the fibres of the lens, and as these are points of great importance in respect to the mode of its formation, I cannot do less than give my reasons for differing from so high an authority. Now, as this same clear, viscous oily-looking fluid, although im smaller globules, is visible through the capsule of the lens, and before it has become BY MOLECULAR COALESCENCE,. 143 in the least distended, and where no mechanical injury had been done to it, it may be concluded, that this is its normal situation and natural appearances. And, more- over, as in this case, no force could have been employed either in kind, or in degree, sufficient to lacerate tubes, whose walls were possessed of a “considerable degree of toughness,” and thus cause the escape of their contents ; it is impossible that vessels from which, under such circum- stances, the contents had escaped, could have possessed the property of toughness; hence, there is an evident incongruity between the alleged fact of the toughness of these vessels, and their rupture under the circumstances here mentioned. Moreover, it can easily be shown by examination of the lens, a short time after the rupture of its capsule, that the “large irregular drops” referred to by Professor Kolhker, have a diameter many times greater than that of the fibres of the lens; and, consequently, if these had been tubes, as there is no reason to suppose they are, globules of such dimensions could never have been lodged in their interior. It is, therefore, obvious, that the views of Professor Kolliker concerning the minute structure of the lens, being entirely at variance with facts, are un- tenable. In concluding the account of these appearances, I may observe that, as the form and size of many of the parts extruded from the capsule of lens vary according to the time the endosmose and consequent distension has been in operation, the microscopical examination will require to be made almost continuously. This is the only way in which a correct knowledge of these appearances can be obtained, as after the cessation of the endosmose, the globular particles become granular, the transverse marking indistinet, and the general aspect of all the parts, with the exception of the dentated, fully formed fibres, 144. FORMATION OF SHELLS OF ANIMALS, ETC., confused and ill defined. The exact form of the lens in these fishes, with the arrangement of its fibres, as given at the commencement of this description, can be best seen in eyes which have been kept in glycerine for several months. In some specimens thus treated, the striz in that part of the converging fibres near to the equator of the lens can also be seen, but not sufficiently to give any idea of their true structure, and nothing definite is observable of the clear viscous, albuminous particles so distinct in the per- fectly recent lens, these having become granular and amorphous. I may mention, that in all the examinations I have made of the lenses of these fishes, 1 have never met with the layer of nucleated cells seen in the eyes of mammals close to the deep surface of the capsule; in some stances there have been regular corpuscles, but these were found only occasionally, and without any definite arrangement or situation; and I have no doubt but that they are acci- dental, and are only the white corpuscles of the blood which have escaped from the vessels ruptured in removing the lens from the eye, especially as I have found the red corpuscles with them. Having now described these parts as minutely as appears to me to be necessary, also the manner of examining the lens, both in its recent and pre- served states, I will consider its development in relation to the process of molecular coalescence. Now, connected with the albuminous particles situated on the surface of the lens, between it and its capsule, the following facts require notice. First, their extremely variable size, the smallest being too minute to admit of accurate measure- ment, the largest, in the undistended condition, being about s5/59th of an inch in diameter, and the rest being of all sizes intermediate between these extremes. Secondly, the perfect resemblance of these particles one to another BY MOLECULAR COALESCENCE. 145 so far as is possible, considering their difference in size. Thirdly, the same property possessed by all, of imbibing water and swelling out to several times their original di- mensions. And, fourthly, their identity in structure and appearance with those which, after having become arranged in lines, form the first portions of the radiating fibres of which the future lens is to be composed. (See fig. 10, in which some of these forms are represented after having been acted upon by water.) The free particles of different sizes above noticed, are not, however, shown in this figure. Now, considering the appearances presented by these par- ticles, and weighing all these circumstances together, it is impossible to question the identity of the larger de- tached globules with those which have become stationary, and are beginning to take the lmear arrangement; and therefore only one point remains to be determined, and that is, whether the larger of the intermediate sizes of the globular particles assumed that size at the instant of their coming into existence, or whether they are the result of the coalescence of pre-existing minuter forms of the same composition ; that is, of smaller globular albuminous par- ticles similar to those which are still present with them. As the kind of evidence necessary to decide the question is not in this case of the same demonstrative character as that which was adduced in answer to a similar question respecting the coalescence of small particles of carbonate of lime to form larger ones (see page 12), its decision must, in some degree, depend upon the relative value of the evidence adducible on each side. Now, on the side of coalescence there is—First, the fact before referred to, showing that there is such a process as coalescence even of the particles of hard substances. Secondly, that the effects of this same process admit of demonstration in the 10 146 FORMATION OF SHELLS OF ANIMALS, ETC., calcareous particles of organized tissues. And lastly, that there is ocular proof of the same process in softer sub- stances, as shown in the development of the hooklets of the Cysticercus cellulose. Whilst in support of the oppo- site view, there is not one fact of a demonstrable character which can be adduced; hence, with the entire weight of evidence in favour of the coalescing process, its operation maybe fairly considered here to be assatisfactorily proved in reference to the formation of the crystalline lens as it has been shown to be in the other structures which have been described. But as these observations only apply to the for- mation of the large albuminous globules, it will be neces- sary to explain also the transformation of these globules into transverse striz ; then the disappearance of these striz ; after that the appearance of longitudinal zigzag lines be- tween the converging fibres; and, lastly, the entire oblite- ration of all marking at the central part of the lens. The globules as thus formed appear then to be merely rounded masses of an albuminous material, with a dense and very dilatable exterior lamina. The greater density of this layer is the natural effect of the attractive force to which the formation of these, and all other globular bodies con- structed in the same manner, and on the same principle, is due. And without doubt this is the mode of formation of the peripheral layer of all corpuscles which have received the appellation of “cells,” this layer being the cell-wall, or cell-membrane, as it is frequently called. These globu- lar particles are, in the entire eye, contained in an elastic capsule—the capsule of the lens—where, at first, they are placed without any apparent order, but afterwards they become arranged in converging lines. (See fig. 10.) Now, as in the growing condition of the lens fresh por- tions of solution of albumen, forming new globules, will BY MOLECULAR COALESCENCE. 147 be constantly added to the contents of the capsule, the globules must press one against another, and thus their globular form is seen to become destroyed, and to be re- placed by the polyhedral form. Besides this, it can be seen by imspection of fig. 10 that they are smaller the nearer they are to the centre of the lens, and appear to have suffered compression, especially in the direction from without to within, and therefore they must have lost some part of their contents. Now the fact of these cells be- coming so rapidly enlarged by the imbibition of water, proves that they retain the albumen in solution, and only lose the water; consequently, as their sides in their natural state are brought nearer together, the fluid within them must become more and more inspissated, until nothing remains but their dense exterior and the portion of albumen which was in solution in the original albumi- nous globule. This portion of albumen now blending with that which before formed the wall of the globule in which it is contaimed, a permanent addition is made to the radiating fibre of which the individual globules are parts. The close apposition of the walls of a multitude of such globules, with the inspissated solution of albumen in their interior, constitutes the beautiful transverse marking represented in fig. 10 c. And the fact of these becoming separated by the imbibition of water is an experimental demonstration, that the cause of the collapse of these cells is the reverse of the effect produced upon them by the action of the water as applied in the experi- ment, namely, the loss of their fluid, probably by exosmose. Whilst the transverse marking exists in the radiat- ing fibres, no defined serration of their edges is ap- parent, but as the transverse lines disappear in consequence of the perfect blending together of the contiguous particles 148 FORMATION OF SHELLS OF ANIMALS, ETC., with their now solid contents, these edges become sharply serrated. Lastly, in and towards the centre of the lens, where the coalescence is complete, the dentate lines which indicate the lateral extent of the radiating fibres become obliterated, showing, at this part, a thorough incorporation of the material of which they are composed, and with this the process of molecular coalescence of the lens termi- nates. Mr. Nunneley, in a paper contaimed in the ‘Quarterly Journal of Microscopical Science’ for April, 1858, gives a plate of the epithelial cells from the posterior part of the capsule of the lens of a sheep, showing lines of cells, concerning which he observes that “ were it not that similar cells are found in Petit’s canal I should feel inclined to think that they are not merely the means of nutrition to the lens, but that they are lens-fibres in progress of development.’ This observation seems to me to show that Mr. Nunneley would have persisted in enter- taining his first impression as to the nature of these cor- puscles, which I have no doubt is the right one, had he not been diverted from this view by some preconceived physio- logical theory concerning the nutrition of the lens. The dentate lines, corresponding doubtless to the radiating lines of feeble attraction in the artificially formed calculi, are the last to become obliterated; and this does not take place until the predominant force is the attraction of tenacity. These lines are distinctly serrated only in the fish, bemg merely undulating and irregular im mammals. The circumstance of irregularity in these lines, as con- trasted with that of the artificial and some of the natural products, is probably to be accounted for by the difference of mechanical conditions under which in the two cases they areformed. These conditions in the former,—the artificial product—applying at the same time to the entire spherical BY MOLECULAR COALESCENCE. 149 mass, but in the latter—the lens—being limited only to very small portions of lens-substance. It must also be observed that the process of coalescence is accompanied by a che- mical change in these albuminous globules, as is shown by boiling a lens for a considerable time in water, when the peripheral and imperfectly coalesced portion will by its opacity indicate the presence of coagulated albumen, whilst the central and adjoining parts will retain their trans- parency, thus seeming to partake more of the character of horn than of coagulated albumen. Now, on reviewing this account of the formation of the crystalline lens of the fish by the process of molecular coalescence, and con- trasting it with the simple manner in which artificial globules of the same size, as well as the otolithes of these same fish, are formed (which can be shown to be formed by coalescence), this will appear to be a very round-about way of making a globular body, which ac- cording to the explanation of the mode of formation of artificial and other calculi, seems possible by a method so very simple and direct. And if such transparent globules as those produced by the artificial process could have served for the purpose of vision, this objection would have been just. But these former giobules being of necessity so formed that their centre is the least dense, and their circumference most so,—a form of construction exactly the reverse of that of the lens,—could never have sufficed to bring the rays of light to a focus, and therefore they would be totally unfit for vision. Hence when vitality is engaged in constructing such a lens as that just described, and the principle of universal attraction has to take chief part in the process, the tendency of this attraction to form just such a lens as that which would be constructed by the artificial process will require at every instant to be opposed. 150 FORMATION OF SHELLS OF ANIMALS, ETC., (Indeed gravity is not a universal influence, if its operation isto be excluded from the process bywhich the lensof the eye is formed; and its laws are not those which mathematicians and philosophers have unanimously considered them, if a lens formed in complete obedience thereunto would not have been, in respect to vision, a useless one.) Hence the impossibility of anythimg short of itricacy in the mechanism of an organ constructed under circumstances where the principal force employed in the process is always working in the wrong direction, and is therefore requiring constantly to be opposed, and to be put imto the right track. Now these ends seem to be attained in the case of the crystalline lens, by its bemg composed of globules of such a composition that they do not coalesce until the more fluid part has been removed; and thus in place of being made up at once of all the molecules entering into the composition of the globules at first collected together, as in the artificial calculi, it is formed only by the gradual coalescence of their denser portions, and especially of their outer lamime. Besides these physical peculiarities, it has been observed that the coalescence is accompanied by a chemical change in the coalesced particles, as is shown by the fact of their retaining their transparency after bemg boiled in water, and by their density becoming increased as the coalescence progresses, and attains its ultimate condition of com- pleteness in the centre of the lens, an effect the opposite of that which would have been produced by the uncon- trolled action of gravity. Hence in the general arrange- ment of the particles composing the crystalline lens, the two attractions mentioned at pages 32 and 55—the attraction of tenacity,and the attraction of gravitation—musthave acted inversely as each other. But the latter being universal, BY MOLECULAR COALESCENCE. 151 and unceasingly in action, would require no fresh arrange- ment of conditions necessary for its production, whilst the former being entirely a local influence, and exerted for one purpose only, and with an effect varying at every instant, would require the chemical condition upon which it depends to be also constantly varying. Now, in the formation of the erab- and oyster-shell these conditions, and the manner in which they operate, are toa very great extent apparent ; but in the case of the formation of the material composing the lens, the chemical process is not, at least in the present state of science, at all clear; and doubtless a most exact chemical investigation, directed especially to this point, would be required to make it so. However, one question presents itself, whether, is that which has the power of bring- ing together these conditions, chemical and mechanical, and exactly adapting them to the necessities of the case, resi- dent im and exercised by the material of the lens? or, whether it is the effect of a separate and independent principle, acting upon this material, through the instru- mentality of well-known influences, called the properties of matter? If the aflirmative is to be given to the first part of this question, then I cannot see how it is possible to deny the existence of an amount of intelligence and skill in the cells of the lens of the eye of any being, infinitely surpassing that of the individual to which it belongs. For how could the particles composing these globules so regulate their densityand curvature, that all the rays passing through them should be brought colourless to one point, without possessing a perfect knowledge of the laws of dispersion and refraction of light? or, how could the developing particles, occupying similar points on opposite sides of the axis of the same lens, or points having precisely the same relative position in the lenses of both eyes, preserve always a like 152 FORMATION OF SHELLS OF ANIMALS, ETC. form and density, unless these developing globules were severally acquainted with the changes of form and structure going on simultaneously in all globules similarly situated ? Whereas, if the affirmative be given to the second side of this question, then the rounded form of the crystalline lens will be due to the operation of the same physical forces as that of the shells of molluses and crustaceans before described. And so with respect to rotundity of contour generally, organic will agree with inorganic bodies; the spherical figure of both when placed under circumstances where their component molecules are affected more by the mutual attraction they have one for another, than by that of remote objects being alike dependent upon gravity ; and thus the analogy of nature, in regard to this fact, is complete; and the same Infinite power and wisdom which are displayed in the government of the inorganic world according to fixed laws, are also equally displayed in the arrangement of the material parts of organized beings, according to the same laws. @ardee : f i i ti ea rat ‘ee Ths ahh Oy : ivy i ay 1 vi ee I et oa j “? « - i; ee , Me eS wae. ct ease Sunae ists ih sone cse neds ae cent ae aN Omer conte arp retate fae t before THe Irerr rere ry 1 ry Silemtelite eat TR eR, yee one pp ene TE, ek Ie ht * eRe hee eS aaa RA alae abate THe sae ists me Sets ee Il | 2 i | | j 2 Be 3 9088 0147 ili eetuinge | | | iI a Te ELHAP Fe SEL OE ES t met ny FEYRERIERLORTE BED YY Camel W acen : Prccisarenteres then epeermes Le BERIA REF Le wbbix aie ag ee a oath, oo LEE tinae, = Saher ad Pytet uel éPIVANEEE