LnOn coordination polyhedra (Ln = La-Lu) in crystal structures
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Updated: Jul 20, 2026

Generating a Fractal Microstructure of Laminin-111 to Signal to Cells
Published on: September 28, 2020
A V Vologzhanina1, D V Pushkin, V N Serezhkin
1Samara State University, Ac. Pavlov St. 1, Samara 443011, Russian Federation. vologzhanina@mail.ru
Abstract:
Voronoi-Dirichlet (VD) polyhedra and the method of intersecting spheres were used to analyze the crystal structures of 2,917 compounds containing 3,903 crystallographically non-equivalent types of LnO(n) polyhedra (Ln = La-Lu). It was established that Ln coordination numbers (CN) vary from 3 to 12, and 20 types of coordination polyhedra are present in the structures. Despite the great diversity of CN and types of coordination polyhedra, the volume of the VD polyhedron was found to depend only on the identity of the Ln atom and its oxidation state.
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