An accurate analytic method for the calculation of the Franckndash;Condon factors: Its application to the study of rotational dependence

摘要

We incorporated the perturbed Morse oscillator function and Mannebackrsquo;s formulas into the matrix method to calculate the Franckndash;Condon factors. The method is exact in the context of the variational principle and is presented as a viable alternative to the numerical integration method where computational facilities are limited. Its accuracy is demonstrated by computing the eigenvalues of CO and Franckndash;Condon factors of the (Bndash;X) band system of Na2. It is then applied to the study of rotational dependence of the Franckndash;Condon factors in the (Andash;X) band system of MgH.