The classification of rotational energy levels according to symmetry species of the full molecular point group, previously presented only for symmetric‐top molecules, is extended to nonlinear molecules of any symmetry in states of any multiplicity. Selection rules for electric dipole transitions between the rovibronic levels thus classified are presented.
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E. P. Wigner, Group Theory (Academic Press Inc., New York, 1959), Chaps. 15 and 19.
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Reference 3, Chaps. 20 and 21.
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R. de L. Kronig, Band Spectra and Molecular Structure (Cambridge University Press, Cambridge, England, 1930), pp. 6–16.
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Reference 3, Chap. 26.
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W.
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The notation for the double‐valued representations of the point groups has not yet been standardized. In this paper we follow the notation of G. Herzberg, taken from his manuscript for the book Electronic Spectra of Polyatomic Molecules. The labels and used here for double‐valued representations of correlate with the representations and respectively, given by
Jahn
[Proc. Roy. Soc. (London)
A164
, 117
(1938
)] for the group The group is isomorphic with and the labels for the double‐valued representations used here correspond to those of Jahn, except that his prime superscript has been dropped.12.
13.
H. C. Longuet‐Higgins, “The Symmetry Groups of Non‐rigid Molecules,” Mol. Phys. (to be published).
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© 1963 American Institute of Physics.
1963
American Institute of Physics
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