The Concentration of Crystal Structures in High-Symmetry Structural Types (Stencils) As a Consequence of Crystal Dynamics

• Published in: Crystallography reports Vol. 67; no. 2; pp. 150 - 155
• Main Authors: Borisov, S. V., Pervukhina, N. V., Magarill, S. A.
• Format: Journal Article
• Language: English
• Published: Moscow Pleiades Publishing 01-04-2022; Springer Nature B.V
• Subjects: Crystal structure; Crystallography; Crystallography and Scattering Methods; Crystals; Elastic waves; Lattices; Physics; Physics and Astronomy; Stability analysis; Structural stability; Symmetry; Theory of Crystal Structures; Unit cell
• ISSN: 1063-7745; 1562-689X
• DOI: 10.1134/S106377452202002X

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The model of the occurrence of translational symmetry as a complex of standing plane elastic waves, forming three-dimensional lattices of their intersection nodes, is proposed based on the results of a crystallographic analysis of popular structure types. Criteria of crystal structure stability, characterizing the reduction of atomic degrees of freedom, are proposed taking into account the additional symmetric atomic ordering in the unit-cell volume. The characteristics of some highly symmetrical structures with cubic or hexagonal symmetry are compared. It is proposed to refer to the process of formation of stable states by creating symmetric spatial configurations, which is universal for material particles, as crystal dynamics.