分子间接触群拟及其模糊Cayley图

IF 0.7 Q4 CHEMISTRY, MULTIDISCIPLINARY

Moscow University Chemistry Bulletin Pub Date : 2023-06-07 DOI:10.3103/S0027131423030033

A. M. Banaru, D. A. Banaru, S. 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

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Groupoid of Intermolecular Contacts and its Fuzzy Cayley Graph

This article defines 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 definition 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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来源期刊

Moscow University Chemistry Bulletin CHEMISTRY, MULTIDISCIPLINARY-

CiteScore

1.30

自引率

14.30%

发文量

期刊介绍： Moscow University Chemistry Bulletin is a journal that publishes review articles, original research articles, and short communications on various areas of basic and applied research in chemistry, including medical chemistry and pharmacology.