ISSN:
1572-8897
Keywords:
large amplitude motions in trimethylamine
;
classes and character table for torsion–inversion in trimethylamine
Source:
Springer Online Journal Archives 1860-2000
Topics:
Chemistry and Pharmacology
,
Mathematics
Notes:
Abstract The non-rigid molecule group theory (NRG) in which the dynamical symmetry operations are defined as physical operations is applied to determine the character table for the triple equivalent methyl rotation and pyramidal inversion in trimethylamine. The restricted NRG of this molecule is seen to be a group of order 648, formed as a product of two subgroups: the G 324 subgroup corresponding to planar trimethylamine and the pyramidal inversion. For this purpose the structure of the r-NRG of planar trimethylamine is first deduced, i.e., the number of classes, irreducible representations, as well as their dimensions. Finally, guidelines are given to deduce systematically the symmetry eigenvectors developed on the basis of quadruple products of trigronometric functions. The r-NRG molecule group theory is seen to be used advantageously to study the internal dynamics of such small organic molecules.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1023/A:1011095021858
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