OPTICAL ROTATION 131 In order to make a simple reading possible it is not necessary to use the normal weight of sample or to polarize in a 200-mm tube. Any simple fraction or multiple of these numbers may be employed and due account taken in the calculation. Polariza- tion tubes are provided, varying by even stages from 100 to 400 mm in length. The sugar scale provides direct readings for other sugar's and for other optically active substances, not sugars, by use of a properly modified normal weight. Thus for laetoso (milk sugar) [a]" = 52.53, instead of (56.5 as for sucrose. Therefore it will require p0>-;j X 20 = 32.9 gin of lactose in each 100 ec to o^&. *)«> give a rotation of 100° on the sugar scale. 32.9 gm is then the normal weight for lactose and if, for example, 32.9 gm of milk were treated in sueh a manner as to obtain the clear serum and this diluted to 100 cc and then polarized in a 200-mm tube, degrees International would indicate directly the per cent of lactose in the milk. This determination in described in the section on Dairy Products, page 214, Part III. The Laurent Scale. -This in constructed so that a quartz plate 1 mm in thickness and cut so that its faces are perpendicu- lar to the optical axis will give a rotation of 100° L. The normal weight for this scale will then be such that when this quantity of substance is dissolved in 100 ee and the solution is polarized in a 200-mm tube it will give the name rotation as a quartz plate of the above description. Because of small differences in the specific rotation of quartz specimens there has been some uncer- tainty regarding the normal weight. The value now accepted for sucrose is 10.29 gm, dilution to 100 true ec being understood. Both Ventzke and Laurent scales are falling into disuse, being properly replaced by the more rational International scale. The Common Sugars.—Sucrose, or cane sugar, is the principal sugar of the juices of sugar cane, sorghum, beets and many fruits. It may be converted into a mixture of equal parts of dextrose and levulose by hydrolysis, induced by action of acids: The difference between the molecules of dextrose? and levulose in a structural one and this has a direct bearing upon the rotation