Nonrigid group theory for 1,3,5‐trimethylbenzene |
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| Authors: | Mohammad Reza Darafsheh Arash Darafsheh Ali Reza Ashrafi |
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| Institution: | 1. Department of Mathematics, Statistics and Computer Science, Faculty of Science, University of Tehran, 14174 Tehran, IranDepartment of Mathematics, Statistics and Computer Science, Faculty of Science, University of Tehran, 14174 Tehran, Iran;2. Faculty of Science, Shahid Beheshti University, 19839‐63113 Tehran, Iran;3. Department of Mathematics, Faculty of Science, University of Kashan, 87135‐1577 Kashan, Iran |
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| Abstract: | Using nonrigid group theory, the full nonrigid (f‐NRG) group of 1,3,5‐trimethylbenzene (TMB) is shown to be isomorphic to the group S3C3] = C3  S3 of order 162, where denotes the wreath product of groups, and C3 is the cyclic group of order three and S3 is the symmetric group of order six on three letters. This group has 22 conjugacy classes and irreducible representations. The character table of the full nonrigid TMB is then derived for the first time. © 2006 Wiley Periodicals, Inc. Int J Quantum Chem, 2007 |
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| Keywords: | full nonrigid group character table 1 3 5‐trimethylbenzene |
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