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Theoretical Analysis of the Vibrations of Icosahedral D5d, Th and Ih Molecular Models

Abstract Complete sets of symmetry coordinates of molecular vibrations are developed for the distorted icosahedral models of (i) D 5d and (ii) T h symmetries, and (iii) the regular icosahedron; symmetry I h. The G matrix is given in the latter case (iii). Model calculations of vibrational frequencies are reported.