?Suppose that the ground vibrational state of a molecule is modelled by using the
Chapter 11, Problem E11F.6(b)(choose chapter or problem)
Suppose that the ground vibrational state of a molecule is modelled by using the particle-in-a-box wavefunction \(\psi_{0}=(2 / L)^{1 / 2} \sin (\pi x / L)\) for 0 ≤ x ≤ L and 0 elsewhere. Calculate the Franck–Condon factor for a transition to a vibrational state described by the wavefunction \(\psi^{\prime}=(2 / L)^{1 / 2} \sin \{\pi(x-L / 2) / L\}\) for L/2 ≤ x ≤ 3L/2 and 0 elsewhere.
Text Transcription:
psi_0=2/L^1/2sinpixL
psi^prime=2/L^1/2sinpix-L/2/L
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