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

S. V. Borisov, S. A. Magarill, N. V. Pervukhina

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

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.

Original languageEnglish
Pages (from-to)1-6
Number of pages6
JournalCrystallography Reports
Volume65
Issue number1
DOIs
Publication statusPublished - Jan 2020

Keywords

  • SUBLATTICE

Fingerprint Dive into the research topics of 'Fedorov Groups of Crystallographic Symmetry As Algorithms of Space and Energy Transformations in Realization of Stable Atomic Configurations'. Together they form a unique fingerprint.

Cite this