Approximate Treatment of the Effect of Centrifugal Distortion on the Rotational Energy Levels of Asymmetric‐Rotor Molecules
作者： Daniel Kivelson , E. Bright Wilson
DOI: 10.1063/1.1700219
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摘要: A first‐order treatment yields the relation W=W0+A1W02+A2W0J(J+1)+A3J2(J+1)2+A4J(J+1)〈Pz2〉+A5〈Pz4〉+A6W0〈Pz2〉 for rotational energy W of a nonrigid asymmetric rotor. The A's are constants independent quantum numbers (J, K−1, K+1) while W0 is rigid‐rotor energy. Pz operator component angular momentum along axis quantization. Formulas given 〈Pz2〉 and 〈Pz4〉, based on continued fractions, as well expansions useful nearly symmetric cases. As special case, corrections derived transitions between components asymmetry doublets.
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