A New Potential Energy Function for Diatomic Molecules

Abstract

A new potential energy function for diatomic molecules U(r)=D_e+D_e{(a+b)e^−2αr−be^−αr}(1+ce^−αr)⁻², is proposed. This function has the advantage that the Schrödinger equation can be solved exactly. The parameters a, b, c and α can be determined so as to fit calculated values of D_e, k_e, r_e and β_e to the observed ones. As to ω_ex_e, agreement with the observation is not bad, whereas the Morse curve does not give satisfactory result for several molecules.