分子间接触群及其模糊cayley图

Alexander M. Banaru, Daria A. Banaru, Sergey M. Aksenov
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引用次数: 0

摘要

本文定义了n维欧几里得空间中一个晶体对称群(空间、次周期、点)所描述的单系统分子结构的一组分子间接触。给出了多系统分子结构的接触单阵的定义。构造了接触群和单似群的清晰和模糊Cayley图。考虑了晶体结构的一些例子。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
GROUPOID OF INTERMOLECULAR CONTACTS AND ITS FUZZY CAYLEY GRAPH
The article defi nes a group of intermolecular contacts for a monosystemic molecular structure described by one of the crystallographic symmetry groups (space, subperiodic, point) in n-dimensional Euclidean space with unoccupied special positions. The defi nition of a monoid of contacts for a polysystemic molecular structure is given. Crisp and fuzzy Cayley graphs of groups and monoids of contacts are constructed. Some examples of crystal structures are considered.
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