Symmetry of Normal Vibrations

We will now consider the effect of symmetry operations on the normal vibrations. Mathematically there are two equivalent ways of carrying out a symmetry operation. We may either keep the coordinate frame fixed and transform the molecule (for instance, reflecting, or rotating the positions of nuclei), or we can keep the positions of nuclei and refer them to the transformed coordinate frame (reflected, or rotated). Following G.Herzberg, we chouse here the former way.

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