Geodesic
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 
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/
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Voir la notice de l'article provenant de la source Math-Net.Ru

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.

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