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5. The Hartnack Prism (Ann. de Ch. et de Physique, ser. iv., vii., 181). - This form of prism was devised in 1866 by MM. Hartnack and Prazmowiski; the original memoir is a valuable one; a translation of it, with some additions, has lately been published (Journ. of the R. Microscopical Soc., June, 1883, 428). It is considered by Dr. Feussner to be the most perfect prism capable of being prepared from calc-spar. The ends of the prism are perpendicular to its length; the section carried through it is in a plane perpendicular to the principal axis of the crystal. The cementing medium is linseed oil, the index of refraction of which is 1.485. This form of prism is certainly not so well known in this country as it deserves to be; a very excellent one, supplied to the present writer by Dr. Steeg is of rectangular form throughout, the terminal surfaces are 19 × 15 mm., and the length 41 mm. The lateral shifting of the field is scarcely perceptible, the prism is perfectly colorless and transparent, and its performance is far superior to that of the ordinary Nicol. The field of view afforded by this construction depends upon the cementing substance used, and also upon the inclination of the sectional cut in regard to the end of the prism; it may vary from 20° to 41°. If the utmost extent of field is not required, the prism may be shortened by lessening the angle of the section, at the expense, however, of interfering with the symmetrical disposition of the field.
6. The Glan Prism (Carl's "Repertorium," xvi., 570, and xvii., 195). - This is a modification of the Foucault, and in a similar manner includes a film of air between the sectional surfaces. The end surfaces and also the cut carried through the prism are parallel to the principal axis of the calc-spar. The ends are normal to the length, and the field includes about 8°. This prism is very short, and may indeed be even shorter than it is broad. It is subject to the same defect as that mentioned in the case of the Foucault, although perhaps not quite to the same extent.
This prism differs very considerably from the preceding forms, and consists of a thin plate of a doubly refracting crystal cemented between two wedge-shaped pieces of glass, the terminal faces of which are normal to the length. The external form of the prism may thus be similar to the Hartnack, the calc-spar being replaced by glass. The indices of refraction of the glass and of the cementing medium should correspond with the greater index of refraction of the crystal, and the directions of greatest and least elasticity in the latter must stand in a plane perpendicular to the direction of the section. One of the advantages claimed for the new prism is that, it dispenses with the large and valuable pieces of spar hitherto found necessary; a further advantage being that other crystalline substances may be used in this prism instead of calc-spar. The latter advantage, however, occurs only when the difference between the indices of refraction for the ordinary and extraordinary rays in the particular crystal made use of is greater than in calc-spar. When this is the case, the field becomes enlarged, and the length of the prism is reduced.

Fig. 7.
The substance which Dr. Feussner has employed as being most suitable for the separating crystal plate is nitrate of soda (natronsalpeter), in which the above-mentioned values are ω = 1.587 and η = 1.336. It crystallizes in similar form to calcite, and in both cases thin plates obtained by cleavage may be used.
As the cementing substance for the nitrate of soda, a mixture of gum dammar with monobromonaphthalene was used, which afforded an index of refraction of 1.58. In the case of thin plates of calcite, a solid cementing substance of sufficiently high refractive power was not available, and a fluid medium was therefore employed. For this purpose the whole prism was inclosed in a short glass tube with airtight ends, which was filled with monobromonaphthalene. In an experimental prism a mixture of balsam of tolu was made use of, giving a cement with an index of refraction of 1.62, but the low refractive power resulted in a very considerable reduction of the field. The extent and disposition of the field may be varied by altering the inclination at which the crystal lamina is inserted (Fig. 7), and thereby reducing the length of the prism, as in the case of the Hartnack.
In order to obviate the effects of reflection from the internal side surfaces if the prism, the wedge-shaped blocks of glass of which it is built up may be made much broader than would otherwise be necessary; the edges of this extra width are cut obliquely and suitably blackened.
The accompanying diagram (Fig. 8) represents a prism of cylindrical external form constructed in this manner, the lower surface being that of the incident light. In this the field amounts to 30°, and the breadth is about double the length.

Fig. 8.
Dr. Feussner remarks that a prism similar in some respects to his new arrangement was devised in 1869 by M. Jamin (Comptes Rendus, lxviii., 221), who used a thin plate of calc-spar inclosed in a cell filled with bisulphide of carbon; and also by Dr. Zenker, who replaced the liquid in M. Jamin's construction by wedges of flint glass.
Among others, the carefully considered modifications of the Nicol prism which have recently been devised by Prof. S.P. Thompson (Phil. Mag., November, 1881, 349, and Jour. R. Micros. Soc., August, 1883, 575), and by Mr. R.T. Glazebrook (Phil. Mag., May, 1883, 352), do not appear to have been known to Dr. Feussner.
The following tabular view of different forms of polarizing prisms is taken from the conclusion of Dr. Feussner's paper:
| Field. | Inclination of section in regard to long axis. | Ratio of length to clear width. | Fig. | ||
|---|---|---|---|---|---|
| I. THE OLD POLARISING PRISMS. | ° | ° | |||
| 1. Nicol's prism. | 29 | 22 | 3.28 | 1 | |
| 2. Shortened Nicol prism - | |||||
| a. Cemented with Canada balsam. | 13 | 25 | 2.83 | 2 | |
| b. Cemented with copaiba balsam. | 24 | 25 | 2.83 | 2 | |
| 3. Nicol with perpendicular ends - | |||||
| a. With Canada balsam. | 20 | 15 | 3.73 | 3 | |
| b. With cement of index of refraction of 1.525. | 27 | 15 | 3.73 | 3 | |
| 4. Foucault's prism. | 8 | 40 | 1.528 | 4 | |
| 5. Hartnack's prism - | |||||
| a. Original form. | 35 | 15.9 | 3.51 | 5ab | |
| b. With largest field. | 41.9 | 13.9 | 4.04 | 5aa | |
| c. With field of 30°. | 30 | 17.4 | 3.19 | 5ac | |
| d. With field of 20°. | 20 | 20.3 | 2.70 | 5ad | |
| 6. Glan's prism. | 7.9 | 50.3 | 0.831 | 6 | |
| II. THE NEW POLARISING PRISM. | |||||
| 1. With calc-spar: | largest field. | 44 | 13.2 | 4.26 | 5aa |
| 2. " | field of 30°. | 30 | 17.4 | 3.19 | 5ac |
| 3. " | field of 20°. | 20 | 20.3 | 2.70 | 5ad |
| 4. With nitrate of soda: | largest field. | 54 | 16.7 | 3.53 | 7aa |
| 5. " | field of 30°. | 30 | 24 | 2.25 | 7ab |
| 6. " | field of 20°. | 20 | 27 | 1.96 | 7ac |
As an analyzing prism of about 6 mm. clear width, and 13.5 mm. long, the new prism is stated by its inventor to be of the most essential service, and it would certainly appear that the arrangement is rather better adapted for small prisms than for those of considerable size. Any means by which a beam of polarized light of large diameter - say 3 to 3½ inches - could be obtained with all the convenience of a Nicol would be a real advance, for spar of sufficient size and purity for such a purpose has become so scarce and therefore so valuable that large prisms are difficult to procure at all. So far as an analyzer is concerned, the experience of the writer of this notice would lead to the opinion that improvements are to be looked for rather in the way of the discovery of an artificial crystal which absorbs one of the polarized rays than by further modifications depending upon total reflection. The researches of Dr. Herapath on iodosulphate of quinine (Phil. Mag., March, 1852, 161, and November, 1853, 346) are in this direction; but crystals of the so-called herapathite require great manipulative skill for their production.
If these could be readily obtained of sufficient size, they would be invaluable as analyzers.
This opinion is supported by the existence of an inconvenience which attends every form of analyzing prism. It is frequently, and especially in projecting apparatus, required to be placed at the focus of a system of lenses, so that the rays may cross in the interior of the prism. This is an unfavorable position for a prismatic analyzer, and in the case of a powerful beam of light, such as that from the electric arc, the crossing of the rays within the prism is not unattended with danger to the cementing substance, and to the surfaces in contact with it.
PHILIP R. SLEEMAN.
 
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