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Group theory for tetraammineplatinum(II) withC 2v andC 4v point group in the non-rigid system

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Abstract

The non-rigid molecule group theory (NRG) in which the dynamical symmetry operations are defined as physical operations is a new field of chemistry. Smeyers in a series of papers applied this notion to determine the character table of restricted NRG of some molecules.

In this work, a simple method is described, by means of which it is possible to calculate character tables for the symmetry group of molecules consisting of a number of NH3 groups attached to a rigid framework. We study the full non-rigid group (f-NRG) of tetraammineplatinum (II) with two separate symmetry groups C2v and C4v. We prove that they are groups of order 216 and 5184 with 27 and 45 conjugacy classes, respectively. Also, we will compute the character tables of these groups.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Science, University of Kashan, Kashan, Iran

    Ali Reza Ashrafi

  2. Department of Chemistry, Faculty of Science, University of Kashan, Kashan, Iran

    Masood Hamadanian

Authors
  1. Ali Reza Ashrafi
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  2. Masood Hamadanian
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Correspondence to Ali Reza Ashrafi.

Additional information

Ali Reza Ashrafi received his BSc from Teacher Training University of Tehran, MSc from Shahid Beheshti University and Ph. D at the University of Tehran under the direction of professor Mohammad Reza Darafsheh. Since 1996 he has been at the University of Kashan. Now he is an associate professor and graduated fifteen MSc students in mathematics. His research interests focus on the computational group theory, finite lattice, hyperstructures and mathematical chemistry.

Masood Hamadanian received his BSc and MSc from Isfahan University and his Ph.D at the University of Shiraz under the direction of professor A. H. Pakiari. Since 1999 he has been at the University of Kashan. Now he is an assistant professor and graduated five MSc students in chemistry. His research interest focus on the quantum and computational chemistry.

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Ashrafi, A.R., Hamadanian, M. Group theory for tetraammineplatinum(II) withC 2v andC 4v point group in the non-rigid system. JAMC 14, 289–303 (2004). https://doi.org/10.1007/BF02936115

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  • DOI: https://doi.org/10.1007/BF02936115

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