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

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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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