Abstract

The Voronoi-Dirichlet polyhedra of actinide atoms A (A = Th, Pa, U, Np, Pu) in the crystal structure of fluoride-containing compounds were analyzed. It was found that the volumes of the Voronoi-Dirichlet polyhedra of actinide atoms surrounded by fluorine atoms depend on the actinide valence state and are practically independent of the actinide coordination number. It was shown by an example of the coordination polyhedra AOn and AFn that the geometric parameters of the Voronoi-Dirichlet polyhedra of actinide atoms and of the nonmetal atoms surrounding them are interrelated. In particular, increase in the electronegativity from oxygen to fluorine decreases the size of A atom irrespective of its oxidation state, on the average by 0.05 A.

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