Calculation of spherical coordinates of faces after displacement

Abstract

Especially for triclinic crystals, when finding the faces of the vertical belt from tables of mesh densities, it is necessary to make a displacement of the defining faces, and such a displacement should be made with greater accuracy, compared with that which we can achieve graphically. In this case, it will be necessary to calculate the spherical coordinate ρ, which defines the faces after the disp;acement. Solving the question of such a calculation does not present any difficulty, and is already partly contained in one of the formulas given in the article by Sokolov and myself “Determination of the densities of networks of crystalline faces without the help of constructions".