The full non-rigid group theory for trimethylamine
by
Masood Hamadanian
Department of Chemistry, University of Kashan, Kashan, Iran.
Coauthors: Ali Reza Ashrafi

The non-rigid molecule group theory (NRG) in which the dynamical symmetry operation are defined as physical operations is a new field in chemistry. Smeyers in a series of papers apllied this notion to determine the character table of restricted NRG of some molecules. For example, Smeyers and Villa computed the r-NRG of the triple equivalent methyl rotation in pyramidal trimethylamine with inversion and proved that the r-NRG of this molecule is a group of order 648, containing two subgroups of order 324 without inversion, (see J. Math. Chem. 28 (2000) 377).
In this work, we study the full NRG of this molecule, without inversion, and prove that it is a group of order 648, with 14 conjugacy classes. The f-NRG molecule group theory is seen to be used advantageously to study the internal dynamic of such molecules.
Keywords and phrases. Character table, full non-rigid group theory(f-NRG), trimethylamine.

Date received: January 22, 2002