Franck-Condon factors and r-centroids for the triplet band system of CO molecule

Abstract

It has been verified that the Morse potential function is a good approximation for the representation of the potential energy curves of d 3π and a3π electronic states of the CO molecule. The Franck-Condon factors for the triplet band system have been computed by the direct method of numerical integration of the Morse wave functions. The r-centroids for this band system have been calculated by (i) the direct method of numerical integration and (ii) the quadratic equation method of Nicholls and Jarmain. A close agreement is obtained between the values of r-centroids evaluated by both the methods. Assuming that the electronic transition moment is approximately constant, the relative population of the vibrational levels of the d3π state of the CO molecule has been calculated using Herman and Rakotoarijimy's experimental data on the relative intensity measurement of the triplet bands developed in the presence of xenon.