Crystal space analysis by means of Voronoi–Dirichlet polyhedra

The method of analysis of crystal space topology by means of Voronoi–Dirichlet tessellation is described. The possibilities of using Voronoi–Dirichlet polyhedra in the investigation of local and global geometrical/topological properties of the crystal lattice in structures of simple and complex substances are discussed. Examples of the application of the proposed method in crystal-chemical analysis are given.