Tables for calculating tetragyric (tetragonal) crystals

Abstract

As we know, in the angular ratio, tetragaric crystals are characterized by only one crystallographic constant. No matter how simple the given formulas are, to simplify and facilitate calculations, V. M. Goldshmidt, O. M. Ansheles, V. V. Dolivo-Dobrovol'skii, G. V. Barker, as well as other crystallographers-calculators, resorted to special ones, once and forever compiled tables, wholly or partly replacing logarithm by simply finding answers from tables. Massive crystallographic calculations carried out while working on the Determinant of Crystals forced its compilers to use these tables. However, in addition to these ready-made tables of Goldschmidt, Ansheles, Dolivo-Dobrovol'skii and Barker, for the speed of calculations, the authors of this article compiled some more tables, which, together with the first ones, should finally simplify all crystallographic calculations of tetragyr crystals. The ease of working with the compiled tables makes it rational to publish them for general use.