Tables for calculating tetragyral(tetragonal) crystals
Abstract
As we know, in terms of angles, tetragonal crystals are characterized by only one crystallographic constant. No matter how simple the given formulas are, to simplify and facilitate calculations, V. M. Goldschmidt, O. M. Ansheles, V. V. Dolivo-Dobrovol'skii, G. V. Barker, as well as other crystallographers‑calculators, resorted to special tables compiled once and for all, wholly or partly replacing logarithms 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 tetragonal crystals. The ease of working with the compiled tables makes it rational to publish them for general use.
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References
- A.Sh. Lokshin, Mathematische Annalen, 1899, Vol. 52, § 59.
- N. Nielsen, Mathematische Annalen, 1899, Bd. 52, p. 156, § 59.
- A.Sh. Lokshin, Mathematische Annalen, 1899, Vol. 52,§ 61–63.
- Mathematische Annalen, 1899, Bd. 52, p. 271, 340.
- Goursat, Cours d’Analyse Mathématique, 1929, t. II, iss. 383.
- Goursat, Cours d’Analyse Mathématique, 1929, t. II, iss. 383