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

Frame Transformation Relations and Symmetry Analysis of Fluxional Symmetric Rotor Dimers

1,* , 1
,
1
 and
2
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
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Abstract

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 3.0).
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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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