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Title: On Forbidden Positions in Crystal Space

Abstract

The finiteness of atomic volumes and symmetry impose limitations on the positions in crystal space that are allowed for occupation when crystal atomic structures are formed. The results of studying the geometric features of the forbidden regions of crystal space are presented. A new classification of symmetry space groups, based on the symmetry of crystal space forbidden regions, is proposed.

Authors:
;  [1]
  1. Lobachevsky State University of Nizhny Novgorod (Russian Federation)
Publication Date:
OSTI Identifier:
22758253
Resource Type:
Journal Article
Journal Name:
Crystallography Reports
Additional Journal Information:
Journal Volume: 63; Journal Issue: 3; Other Information: Copyright (c) 2018 Pleiades Publishing, Inc.; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1063-7745
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; CLASSIFICATION; CRYSTAL LATTICES; CRYSTALS; GEOMETRY; SPACE GROUPS

Citation Formats

Somov, N. V., E-mail: somov@phys.unn.ru, and Chuprunov, E. V. On Forbidden Positions in Crystal Space. United States: N. p., 2018. Web. doi:10.1134/S1063774518030264.
Somov, N. V., E-mail: somov@phys.unn.ru, & Chuprunov, E. V. On Forbidden Positions in Crystal Space. United States. doi:10.1134/S1063774518030264.
Somov, N. V., E-mail: somov@phys.unn.ru, and Chuprunov, E. V. Tue . "On Forbidden Positions in Crystal Space". United States. doi:10.1134/S1063774518030264.
@article{osti_22758253,
title = {On Forbidden Positions in Crystal Space},
author = {Somov, N. V., E-mail: somov@phys.unn.ru and Chuprunov, E. V.},
abstractNote = {The finiteness of atomic volumes and symmetry impose limitations on the positions in crystal space that are allowed for occupation when crystal atomic structures are formed. The results of studying the geometric features of the forbidden regions of crystal space are presented. A new classification of symmetry space groups, based on the symmetry of crystal space forbidden regions, is proposed.},
doi = {10.1134/S1063774518030264},
journal = {Crystallography Reports},
issn = {1063-7745},
number = 3,
volume = 63,
place = {United States},
year = {2018},
month = {5}
}