A Treatise On Crystallography

Cover A Treatise On Crystallography
A Treatise On Crystallography
Lewis, W. J. (William James), 1847-1926
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394.
Fig. 395.
Digitized by VjOOQIC 430 HEXAGONAL SYSTEM.
In the particular instance of the fundamental pyramid, the co-polar triads are represented by letters r and z> and the symbols are : 100, 22T, 010, 122, 001, 2l2.
We shall therefore adopt for the forms of hexagonal crystals symbols in which triads hkl and pqr are both included. Such symbols have been already employed to represent the forms in classes VI and VII of the rhombohedral system.
It follows from what precedes that the analytical
... formulae given in Chap, xvi hold for crystals of this system. Thus, the equations of the pole P (hkl) are •(3), cosXP _ cos TP _ cosZP __ 3 cos CX cos CP h ~ k ~~ I h + k + l C being the pole (111) at the centre of the primitive.
ii. Hexagonal axes.
5. Many crystallographers adopt a set of four axes of reference, OA, OA\ 0A tt and V of Figs. 392 and 393, which enable them to represent all the faces of a hexagonal form by a symbol Jhkil}.
The positions of the several co-polar faces of a hexagonal pyramid are given by taking the three first indices (referring to the like axes in the equatorial plane) in a single cyclical order, and also changing all their signs together.


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