Abstract:Molecular spectroscopy is a branch of physics which deals with the interaction of electromagnetic radiation with matter. Using the new theoretical approach, i.e., Lie algebraic approach, we calculate 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?1. The model Hamiltonian constructed seems to describe the P–H and N–F stretching modes accurately with only four numbers of parameters. The present calculation not only predicts the higher overtones but also shows good agreement with the few observed data.