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It has been verified that the Morse potential function is a good approximation for the representation of the potential energy curves of d 3 π and a 3 π 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 d 3 π 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.
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Singh et al. (1961) studied this question.
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