With the new theoretical approach i.e. lie algebraic approach, we have calculated the infrared spectra of Phosphine in the range from 3000 cm −1 to 9500 cm −1 and Nitrogen Trifluoride in the range from 900 cm −1 to 4500 cm. The model Hamiltonian, so constructed, seems to describe the P-H and N-F stretching modes accurately with only four numbers of parameters.
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