%0 Journal Article %T Frame Transformation Relations and Symmetry Analysis of Fluxional Symmetric Rotor Dimers %A Horace T. Crogman %A Bumgyunmiga Choi %A Harrison B. Chen %A William G. Harter %J Symmetry %D 2013 %I MDPI AG %R 10.3390/sym5010086 %X The theory of Frame transformation relations between the states of Born Oppenheimer and the weak coupling approximations is developed for polyatomic molecules. The symmetry relations are a generalization of the frame transformation relations derived by Harter and Crogman for coupled rotor molecules. A key internal symmetry label (named ¡°soul¡±) is defined so that it remains a constant label for frame transformation relations, and is conserved during vibronic transitions, ionization, and even dissociation provided the nuclear spin-rotation interaction is relatively small. Simplified procedures are given for obtaining selection rules, statistical weights, and matrix elements of multipole operators for common molecules having various point symmetries. %K frame %K transformation %K cluster %K dimers %K spin %K rotation %K fluxional %U http://www.mdpi.com/2073-8994/5/1/86