Theoretical study of highly vibrational states of nonlinear triatomic molecules using Lie algebraic approach

The vibrational excitations of bent triatomic molecules are studied by usin g Lie algebra. The RMS error of fitting 30 spectroscopic data is 1.66 cm(-1 ) for SO2. The results show that the expansion of a molecular algebraic Ham iltonian can well describe the experimental data. And the total vibrational levels can be calculated using this Hamiltonian. At the same time, the pot ential energy surface can also be obtained with the algebraic Hamiltonian.