TY - JOUR

T1 - Systematics of fluorite-related structures. I. General principles

AU - Krivovichev, S. V.

N1 - Funding Information: The clarity of the manuscript was improved following the review of anonymous referee. The work was supported by RFBR (grant # 99-05 65197).

PY - 1999/6

Y1 - 1999/6

N2 - The Kang-Eyring system of description of fluorite-related anion-deficient structures is extended to the wide range of fluorite-related structures with vacancies in both anion and cation sites. 22 different types of modules are characterized on the base of the concept of module equivalence and 280 different module orientations are obtained from the symmetry considerations. Possible ways of linking of modules are considered. It is shown that for geometrical description of fluorite-related structures the following characteristics may be used: matrix of transformation from fluorite-related sublattice to real lattice and an average parameter aF of fluorite sublattice.

AB - The Kang-Eyring system of description of fluorite-related anion-deficient structures is extended to the wide range of fluorite-related structures with vacancies in both anion and cation sites. 22 different types of modules are characterized on the base of the concept of module equivalence and 280 different module orientations are obtained from the symmetry considerations. Possible ways of linking of modules are considered. It is shown that for geometrical description of fluorite-related structures the following characteristics may be used: matrix of transformation from fluorite-related sublattice to real lattice and an average parameter aF of fluorite sublattice.

UR - http://www.scopus.com/inward/record.url?scp=0001416081&partnerID=8YFLogxK

U2 - 10.1016/S1293-2558(00)80076-X

DO - 10.1016/S1293-2558(00)80076-X

M3 - Article

AN - SCOPUS:0001416081

VL - 1

SP - 211

EP - 219

JO - Solid State Sciences

JF - Solid State Sciences

SN - 1293-2558

IS - 4

ER -