TY - JOUR

T1 - Fedorov Groups of Crystallographic Symmetry As Algorithms of Space and Energy Transformations in Realization of Stable Atomic Configurations

AU - Borisov, S. V.

AU - Magarill, S. A.

AU - Pervukhina, N. V.

PY - 2020/1

Y1 - 2020/1

N2 - 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.

AB - 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.

KW - SUBLATTICE

UR - http://www.scopus.com/inward/record.url?scp=85082602505&partnerID=8YFLogxK

U2 - 10.1134/S1063774520010058

DO - 10.1134/S1063774520010058

M3 - Article

AN - SCOPUS:85082602505

VL - 65

SP - 1

EP - 6

JO - Crystallography Reports

JF - Crystallography Reports

SN - 1063-7745

IS - 1

ER -