Consider a diatomic molecule for which the bond force constant in the ground and excited electronic states is the same, but the equilibrium bond length is shifted by an amount δ in the excited state relative to the ground state. For this case the vibrational wave functions for the n = 0 state are:

Calculate the Franck€“Condon factor for the 0€“0 transition for this molecule by evaluating the following expression:

In evaluating this expression, the following integral will be useful:

Transcribed Image Text:

1/4 La(r-5y , α- 1/4 Lar 1/4 ku Wg.0 V3,0 = We,0 = 00 8.0 g,0We,0 dr