Vibrational Matrix Elements of NO

A potential function meeting certain qualitative criteria is developed from the Lippencott potential, a seven term expansion of this function being actually utilized. A three-term expansion of the dipole moment is used within the framework of familiar perturbation theory to obtain the vibrational-matrix elements for the fundamental and first four overtone transitions arising from each of the first eleven levels. The results of this calculation are utilized for a further investigation of the potential function, and the approximations involved are considered. This calculation has been programmed and carried out on the IBM 650 electronic data processing machine, and is readily adaptable to other diatomic molecules for which the requisite empirical data are available.