A sum rule for symmetries and isomer counts of trivalent polyhedra

被引：6

作者：

Fowler, PW

Mitchell, D

机构：

[1] Department of Chemistry, University of Exeter, Exeter, EX4 4QD, Stocker Road

来源：

JOURNAL OF THE CHEMICAL SOCIETY-FARADAY TRANSACTIONS | 1996年 / 92卷 / 21期

关键词：

D O I：

10.1039/ft9969204145

中图分类号：

O64 [物理化学（理论化学）、化学物理学];

学科分类号：

070304 ; 081704 ;

摘要：

The trivalent polyhedra on upsilon vertices can be classified according to the maximal point-group symmetries of their graphs. A sum rule based on early work by Tutte relates the numbers, n(i), of isomers belonging to groups with g(i) symmetry operations to an analytical function of the vertex count, giving a useful check on isomer enumeration and symmetry assignment.

引用

页码：4145 / 4150

页数：6

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