Abstract

An analysis of the vibrational overlap integral, which was developed previously for the Morse potential, is presented. It is accurate up to the fifth order. Our calculations of the Franck-Condon factors for the electronic transitions of the Lyman-Birge-Hopfield ( a 1∏ g − X 1 Σ + g ) band system of N 2, the Schumann-Runge ( B 3 Σ - u − X 3 Σ - g ) band system of O 2 and the fourth positive ( A 1∏− X 1 Σ +) band system of CO are in excellent agreement with the results obtained by Nicholls.

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