The correct explanation for why molecular fluorescence occurs at a longer wavelength than the exciting radiation is the Stokes shift: Loss of energy due to non-radiative transitions from an excited vibrational energy level to the lowest vibrational level of an electronically excited state, from which a photon is then emitted.
\[
\boxed{\text{Stokes shift: Loss of energy due to non-radiative transitions from an excited vibrational energy level to the lowest vibrational level of an electronically excited state, from which a photon is then emitted.}}
\]