Voronoi-dirichlet polyhedra in crystal chemistry: theory and applications

• Published in: Crystallography reviews Vol. 10; no. 4; pp. 249 - 318
• Main Author: Blatov, Vladislav A.
• Format: Journal Article
• Language: English
• Published: Taylor & Francis Group 01.10.2004
• Subjects: Analysis of voids and cavities; Atomic domain; Crystallochemical analysis; Supramolecular complexes; Voronoi-Dirichlet polyhedron

This review is devoted to the new three-dimensional geometrical methods of crystallochemical analysis based on the Voronoi-Dirichlet partition of crystal space. It is emphasized that the model of an atom in the crystal field as its Voronoi-Dirichlet polyhedron seems to be in many cases of interest i...