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Journal of Zhejiang University SCIENCE B 2005 Vol.6 No.3 P.222-226

http://doi.org/10.1631/jzus.2005.B0222


Symmetry properties of tetraammine platinum(II) with C2v and C4v point groups


Author(s):  MOGHANI Ghorban Ali, ASHRAFI Ali Reza, HAMADANIAN Masood

Affiliation(s):  Department of Mathematics, Payame Noor University, Tehran, Iran; more

Corresponding email(s):   ashrafi@kashanu.ac.ir

Key Words:  Weighted graph, Euclidean graph, Tetraammine platinum(II)


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MOGHANI Ghorban Ali, ASHRAFI Ali Reza, HAMADANIAN Masood. Symmetry properties of tetraammine platinum(II) with C2v and C4v point groups[J]. Journal of Zhejiang University Science B, 2005, 6(3): 222-226.

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DOI - 10.1631/jzus.2005.B0222


Abstract: 
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=[dij], where for ij, dij is the Euclidean distance between the nuclei i and j. In this matrix dii 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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Reference

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