物理化学学报 >> 2001, Vol. 17 >> Issue (05): 465-470.doi: 10.3866/PKU.WHXB20010518

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卤代烷烃的交叉构象的计数

王建基;李汝雄;张玉喜   

  1. 北京石油化工学院化工系，北京　102600
  • 收稿日期:2000-10-17 修回日期:2001-01-02 发布日期:2001-05-15
  • 通讯作者: 王建基 E-mail:wangshenwjj@sina.com.cn

Enumeration of Staggered Conformations of Polyhaloalkanes

Wang Jian-Ji;Li Ru-Xiong;Zhang Yu-Xi   

  1. Department of Chemical Engineering, Beijing Petrochemical Engineering Institute, Beijing　102600
  • Received:2000-10-17 Revised:2001-01-02 Published:2001-05-15
  • Contact: Wang Jian-Ji E-mail:wangshenwjj@sina.com.cn

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关键词: 卤代烷烃, 交叉构象, 计数, 母函数, 图论

Abstract: By defining a polyhaloalkyl and a polyhaloalcohol, using recurrence method, the generating functions for counting staggered conformations of polyhaloalkyls and polyhaloalcohols have been obtained. The numerical results in Table 1－3 are given. 　　According to the results obtained, using graphtheoretical method, the generating functions for counting staggered conformations of polyhaloalkanes have been devived. Some numerical results are given in Table 4. 　　Furthermore, the staggered conformations of polyhaloalkanes according to their symmetry groups have been classified and the generating function of counting the staggered conformations belong to each group have been derived. The numerical results are given in Table 5.

Key words: Polyhaloalkanes, Staggered conformations, Enumeration, Generating function, Graph theory