| Symmetry properties of tetraammine platinum（Ⅱ） with C2v and C4v point groups |
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| 作者姓名： | Moghani GA Ashrafi AR Hamadanian M |
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| 作者单位： | [1]DepartmentofMathematics,PayameNoorUniversity,Tehran,Iran [2]DepartmentofMathematics,PayameNoorUniversity,Tehran,Iran [3]DepartmentofChemistry,UniversityofKashan,Kashan,Iran |
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| 摘 要： | Let G be a weighted graph with adjacency matrix A=aij]. An Euclidean graph associated with a molecule is defined by a weighted graph with adjacency matrix D=d/ij], where for i≠j, dij is the Euclidean distance between the nuclei i and j. In this matrix dij can be taken as zero if all the nuclei are equivalent. Otherwise, one may introduce different weights for different nuclei.Balasubramanian (1995) computed the Euclidean graphs and their automorphism groups for benzene, eclipsed and staggered forms of ethane and eclipsed and staggered forms of ferroeene. This paper describes a simple method, by means of which it is possible to calculate the automorphism group of weighted graphs. We apply this method to compute the symmetry of tetraammine platinum(Ⅱ) with C2v and C4v point groups.
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| 关 键 词： | 对称特性 铂 C2v 点群 欧几里得图 四氨络合物 化学分析 计算方法 |
Symmetry properties of tetraammine platinum(II) with C2v and C4v point groups |
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| Moghani GA,Ashrafi AR,Hamadanian M.Symmetry properties of tetraammine platinum(II) with C2v and C4v point groups[J].Journal of Zhejiang University Science,2005,6(3):222-226. |
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| Authors: | Moghani Ghorban Ali Ashrafi Ali Reza Hamadanian Masood |
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| Institution: | Department of Mathematics, Payame Noor University, Tehran, Iran. |
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| Abstract: | Let G be a weighted graph with adjacency matrix A=a(ij)]. An Euclidean graph associated with a molecule is defined by a weighted graph with adjacency matrix D=d(ij)], where for i not = j, d(ij) is the Euclidean distance between the nuclei i and j. In this matrix d(ii) can be taken as zero if all the nuclei are equivalent. Otherwise, one may introduce different weights for different nuclei. Balasubramanian (1995) computed the Euclidean graphs and their automorphism groups for benzene, eclipsed and staggered forms of ethane and eclipsed and staggered forms of ferrocene. This paper describes a simple method, by means of which it is possible to calculate the automorphism group of weighted graphs. We apply this method to compute the symmetry of tetraammine platinum(II) with C2v and C4v point groups. |
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