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Application of a symmetry-adapted algebraic model to the vibratioinal spectrum of methane

R. Lemus·F. Perez-Bernal·A. Frank·R. Bijker·J. M. Arias
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Abstract

The stretching and bending vibrations of methane are studied in the framework of a symmetry-adapted algebraic model. The model is based on the realization of the one-dimensional Morse potential in terms of a $U(2)$ algebra. For the 44 observed energies we obtain a fit with a r.m.s. deviation of 1.16 cm$^{-1}$ which is an order of magnitude more accurate than previous algebraic calculations.

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R. Lemus, F. Perez-Bernal, A. Frank, R. Bijker, J. M. Arias. 1996-11-27. Application of a symmetry-adapted algebraic model to the vibratioinal spectrum of methane. https://arxiv.org/abs/physics/9611027

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