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Symmetry 2013, 5(1), 86-118; doi:10.3390/sym5010086

Frame Transformation Relations and Symmetry Analysis of Fluxional Symmetric Rotor Dimers

1,* , 1
1 Physics Department, La Sierra University, Riverside, CA 92515, USA 2 Physics Department, University of Arkansas, Fayetteville, AR 72701, USA
* Author to whom correspondence should be addressed.
Received: 8 November 2012 / Revised: 14 January 2013 / Accepted: 17 January 2013 / Published: 5 February 2013
Download PDF [1066 KB, 6 February 2013; original version 5 February 2013]


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.
Keywords: frame; transformation; cluster; dimers; spin; rotation; fluxional frame; transformation; cluster; dimers; spin; rotation; fluxional
This is an open access article distributed under the Creative Commons Attribution License (CC BY) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Crogman, H.T.; Choi, B.; Chen, H.B.; Harter, W.G. Frame Transformation Relations and Symmetry Analysis of Fluxional Symmetric Rotor Dimers. Symmetry 2013, 5, 86-118.

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