Abstract
A U(2) algebraic model is presented to describe stretching vibrations ofXYn(n= 2, 3, and 4) systems, where anharmonic interactions between the bond modes are considered. This model in a limit corresponds to an anharmonically coupled local-mode model. As an example, the model for a moleculeXY4is applied to recently observed spectra of methane in both gas and liquid phases, and the results obtained are in good agreement with the experiments.
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