VIBRATIONAL MOTIONS IN DIMETHYLACETYLENE.
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Date
1965
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Ohio State University
Abstract
The concept of a ``normal mode'' in dimethylacetylene for the limiting case of almost free internal rotation can be given a precise meaning. The method is based essentially on a determination of the normal modes in the usual way, but a separate determination is made for each value of the torsional angle $\gamma$. Various quantities appearing in the vibrational problem, which normally are constants, must be considered in this procedure as functions of the angle $\gamma$. The normal modes so defined can be shown to transform according to the irreducible representations of a molecular symmetry group constructed especially for dimethylacetylene. A rigorous derivation of the nuclear kinetic energy operator, similar to the treatment of Wilson and Howard, can be carried out within the framework of the procedure under discussion.
Description
Author Institution: Division of Pure Physics, National Research Council