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

Frame Transformation Relations and Symmetry Analysis of Fluxional Symmetric Rotor Dimers

Horace T. Crogman 1,* email, Bumgyunmiga Choi 1 email, Harrison B. Chen 1 email and William G. Harter 2 email
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; in revised form: 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

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MDPI and ACS Style

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.

AMA Style

Crogman HT, Choi B, Chen HB, Harter WG. Frame Transformation Relations and Symmetry Analysis of Fluxional Symmetric Rotor Dimers. Symmetry. 2013; 5(1):86-118.

Chicago/Turabian Style

Crogman, Horace T.; Choi, Bumgyunmiga; Chen, Harrison B.; Harter, William G. 2013. "Frame Transformation Relations and Symmetry Analysis of Fluxional Symmetric Rotor Dimers." Symmetry 5, no. 1: 86-118.

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