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Vol 1 No 5
Pages:
396-397
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RUS
Research article
Articles

Shift of ordinary and polar lattices

Authors:
Ye. S. Fedorov
Date submitted:
1908-07-22
Date accepted:
1908-08-30
Date published:
1908-12-25

Abstract

Correlativity is established not only between a system of points and a system of planes, but also between transformations of these systems. It is precisely because of correlativity that this theorem has a dual meaning, so that in its formulation an ordinary lattice can be replaced by a polar one and vice versa. The author considers it necessary to publish this theorem in view of the fact that in crystallography, to determine the symbol of a complex, we precisely perform the operation of shifting the polar lattice (using the gnomosteographic projection), while the essence of the change that the ordinary lattice undergoes in this case remained unknown.

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