Construction of a unified model for crystal and nearly crystal structures
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 45 (2005) no. 8, pp. 1359-1373
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Mathematical models (point systems) of the atom arrangement in solids are considered. A new approach to the design of such models is proposed. It is based on the operation of differentiation introduced for point systems. The differentiation operation is used to obtain a general mathematical criterion for distinguishing between various types of crystal and nearly crystal structures. Several theorems are proved that specify the constraints on point systems that lead to such structures.
@article{ZVMMF_2005_45_8_a2,
author = {D. V. Kovalenko},
title = {Construction of a unified model for crystal and nearly crystal structures},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {1359--1373},
publisher = {mathdoc},
volume = {45},
number = {8},
year = {2005},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2005_45_8_a2/}
}
TY - JOUR AU - D. V. Kovalenko TI - Construction of a unified model for crystal and nearly crystal structures JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 2005 SP - 1359 EP - 1373 VL - 45 IS - 8 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZVMMF_2005_45_8_a2/ LA - ru ID - ZVMMF_2005_45_8_a2 ER -
%0 Journal Article %A D. V. Kovalenko %T Construction of a unified model for crystal and nearly crystal structures %J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki %D 2005 %P 1359-1373 %V 45 %N 8 %I mathdoc %U http://geodesic.mathdoc.fr/item/ZVMMF_2005_45_8_a2/ %G ru %F ZVMMF_2005_45_8_a2
D. V. Kovalenko. Construction of a unified model for crystal and nearly crystal structures. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 45 (2005) no. 8, pp. 1359-1373. http://geodesic.mathdoc.fr/item/ZVMMF_2005_45_8_a2/