Suppose that the ground vibrational state of a molecule is modelled by using the particle-in-a-box wavefunction ψ0 = (2/L)1/2 sin(πx/L) for 0 ≤ x ≤ L and 0 elsewhere. Calculate the Franck–Condon factor for a transition to a vibrational state described by the wavefunction ψ′= (2/L)1/2sin{π(x −L/4)/L} for L/4 ≤ x ≤ 5L/4 and 0 elsewhere.
Suppose that the ground vibrational state of a molecule is modelled by using the particle-in-a-box wavefunction ψ0 = (2/L)1/2 sin(πx/L) for 0 ≤ x ≤ L and 0 elsewhere. Calculate the Franck–Condon factor for a transition to a vibrational state described by the wavefunction ψ′= (2/L)1/2sin{π(x −L/4)/L} for L/4 ≤ x ≤ 5L/4 and 0 elsewhere.
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Suppose that the ground vibrational state of a molecule is modelled by using the particle-in-a-box wavefunction ψ0 = (2/L)1/2 sin(πx/L) for 0 ≤ x ≤ L and 0 elsewhere. Calculate the Franck–Condon factor for a transition to a vibrational state described by the wavefunction ψ′= (2/L)1/2sin{π(x −L/4)/L} for L/4 ≤ x ≤ 5L/4 and 0 elsewhere.
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