TY - JOUR

T1 - Crystallographic Analysis of Symmetry-Stability Relations in Atomic Structures

AU - Borisov, S. V.

AU - Magarill, S. A.

AU - Pervukhina, N. V.

PY - 2019/8/1

Y1 - 2019/8/1

N2 - Widely known and some other structural types as well as mechanisms of structural transformations are considered in the framework of the idea that stability of crystal structures is caused by translational and point spatial symmetries, which reduce the degree of freedom and, therefore, the energy of material particles (atoms, chemically stable atomic groups). The role of highly symmetric spatial “stencils” of atomic arrangement in the solution of the composition—structure problem is shown. Criteria of relative stability of crystal structures are proposed.

AB - Widely known and some other structural types as well as mechanisms of structural transformations are considered in the framework of the idea that stability of crystal structures is caused by translational and point spatial symmetries, which reduce the degree of freedom and, therefore, the energy of material particles (atoms, chemically stable atomic groups). The role of highly symmetric spatial “stencils” of atomic arrangement in the solution of the composition—structure problem is shown. Criteria of relative stability of crystal structures are proposed.

KW - apatite

KW - corundum

KW - crystallization model

KW - crystallographic analysis

KW - garnet

KW - skeletal sublattices

KW - sphalerite

KW - spinel

KW - stability criteria

KW - stability-symmetry

KW - structural types of diamond

KW - tourmaline

UR - http://www.scopus.com/inward/record.url?scp=85071908004&partnerID=8YFLogxK

U2 - 10.1134/S0022476619080018

DO - 10.1134/S0022476619080018

M3 - Article

AN - SCOPUS:85071908004

VL - 60

SP - 1191

EP - 1218

JO - Journal of Structural Chemistry

JF - Journal of Structural Chemistry

SN - 0022-4766

IS - 8

ER -