An Efficient Method for Determining Matrix Elements of the Dipole Moment Operator and Corrections to the Energy of a Polyatomic Molecule Using the Perturbation Theory within the Polynomials of Quantum Numbers Formalism

Anharmonic corrections to the energy and dipole-moment matrix elements up to the second order are obtained for polyatomic molecules within the polynomials of quantum numbers formalism and the detailed calculation algorithm is reported. The results obtained for matrix elements of the fundamental transition are in good agreement with the data in the literature.