Abstract
An algebraic Hamiltonian, which in a limit can be reduced to anextended local mode model by Law and Duncan, is proposed todescribe both stretching and bending vibrational energy levels ofpolyatomic molecules, where Fermi resonances between the stretchesand the bends are considered. The Hamiltonian is used to study thevibrational spectra of stibine (SbH3). A comparison with theextended local mode model is made. Results of fitting theexperimental data show that the algebraic Hamiltonian reproducesthe observed values better than the extended local mode model.
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