高等学校化学学报 ›› 1984, Vol. 5 ›› Issue (2): 199.

• 论文 • 上一篇    下一篇

取代环烷烃和环烷烃同系物的异构体的计数

王建基   

  1. 内家古师范学院化学系
  • 收稿日期:1982-08-18 出版日期:1984-04-24 发布日期:1984-04-24

ENUMERATION OF ISOMERS OF SUBSTITUTED CYCLOALKANES AND HOMOLOGES OF CYCLOALKANES

Wang Jianji   

  1. Department of Chemistry, Inner Mongolian Teacher's College, Huhehot
  • Received:1982-08-18 Online:1984-04-24 Published:1984-04-24

摘要: 本文采用置换群D'n(n)和计数级数 1+x+x2求出取代环烷烃的构造异构体的计数母函数,改进了Balaban的方法。同时,求出了环烷烃同系物的构造异构体、构型、手性构型和非手性构型的计数母函数。

Abstract: In this paper, the permutation group D'n(n) and appropriate graph counting series are used to obtain generating function which is used to enumerate constitutional isomers of substituted cycloalkanes and homo-loges of cycloalkanes.The cycle index of D'nh(2n) group is revised so that it can be used to enumerate chiral and achiral cycloalkanes.An alkyl configuration partition, then, is defined, and a simple method finding the numbers of isomers of homologs of cycloalkanes is given.Some numerical results are tabulated.

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