Abstract
A method of constructing the Dirichlet–Voronoi translation-compatible polyhedrons for sublattices of complex crystal compounds is presented. With the use of the Zelling parameters, this problem is reduced to a linear programming problem which can be solved on a personal computer for a finite ratio of translation-compatible polyhedron volumes. Particular solutions are derived for cubic and tetragonal systems with different orientations of the Bravais frame and polyhedron types.
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