Abstract

A new, algebraically expanded Hamiltonian is proposed to describe vibrations of strongly anharmonic polyatomic molecules. This Hamiltonian is used to study the vibrational-level energies of the C ̃ state of SO 2. A comparison with the conventional force-field method is made. Results of fitting the experimental vibrational-level energies show that (i) the algebraic Hamiltonian expansion reproduces the experimental level energies with a nearly equal root-mean-square deviation of the force-field expansion but with fewer parameters and that (ii) convergence for the suggested algebraic Hamiltonian expansion is much faster than that of the force-field expansion.

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