Knowledge Bank

We have obtained an expression for the vibration-rotation Hamiltonian of the formaldehyde molecule undergoing large amplitude inversion motion. In the derivation we use a curvilinear coordinate and five generalized valence coordinates. The $zeroth$ order Hamiltonian corresponding to the nonrotating-nonvibrating $D2CO$ molecule was solved for the energy levels using a quadratic expression perturbed by a Lorentzian term. The parameters of this model potential function were used to obtain the energy levels of $H2CO$.