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Fedorov Groups of Crystallographic Symmetry As Algorithms of Space and Energy Transformations in Realization of Stable Atomic Configurations

Fedorov Groups of Crystallographic Symmetry As Algorithms of Space and Energy Transformations in... The effect of symmetry ordering of sites of material particles (atoms, chemically strong atomic groups) is shown on characteristic examples. This ordering leads to reduction of the degrees of their freedom and, therefore, minimizes the energy of a system during crystallization. The geometry of Fedorov groups, supplemented with the symmetry energy function, determines the processes occurring in condensed atomic medium (“Kingdom of crystals,” according to E.S. Fedorov). Criteria are proposed for comparative estimation of the stability of structures, including the structural stencils (structure types of tourmaline, apatite, et al.) abundant in nature. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Crystallography Reports Springer Journals

Fedorov Groups of Crystallographic Symmetry As Algorithms of Space and Energy Transformations in Realization of Stable Atomic Configurations

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Publisher
Springer Journals
Copyright
Copyright © Pleiades Publishing, Inc. 2020
ISSN
1063-7745
eISSN
1562-689X
DOI
10.1134/S1063774520010058
Publisher site
See Article on Publisher Site

Abstract

The effect of symmetry ordering of sites of material particles (atoms, chemically strong atomic groups) is shown on characteristic examples. This ordering leads to reduction of the degrees of their freedom and, therefore, minimizes the energy of a system during crystallization. The geometry of Fedorov groups, supplemented with the symmetry energy function, determines the processes occurring in condensed atomic medium (“Kingdom of crystals,” according to E.S. Fedorov). Criteria are proposed for comparative estimation of the stability of structures, including the structural stencils (structure types of tourmaline, apatite, et al.) abundant in nature.

Journal

Crystallography ReportsSpringer Journals

Published: Jan 25, 2020

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