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The full nonrigid group theory for trimethylamine

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  • Masood Hamadanian
  • Ali Reza Ashrafi

Abstract

The nonrigid molecule group theory (NRG) in which the dynamical symmetry operations are defined as physical operations is a new field in chemistry. Smeyers in a series of papers applied this notion to determine the character table of restricted NRG of some molecules. In this note, 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 methyl groups attached to a rigid framework. We study the full NRG of trimethylamine N ( CH 3 ) 3 and prove that it is a group of order 1296 with 28 conjugacy classes. The method can be generalized to apply to other nonrigid molecules. The full nonrigid (f-NRG) molecule group theory is seen to be used advantageously to study the internal dynamics of such molecules.

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  • Masood Hamadanian & Ali Reza Ashrafi, 2003. "The full nonrigid group theory for trimethylamine," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2003, pages 1-6, January.
    • Handle: RePEc:hin:jijmms:821438
    DOI: 10.1155/S0161171203205159
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