Atomic spectra appears as gaussian not line spectra
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A Gaussian curve is a histogram that arises for a purely random process. If emission was a result of relaxation from a single vibrational level of a singlet excited state (which it should be following Kasha's Rule) to a single vibrational level of the ground singlet electronic state, then you should have a Gaussian curve whose width would depend on the lifetime of the excited state (due to Heisenberg uncertainty). However, relaxation will occur by relaxing back to many vibrational levels of the ground state. The probability that the molecule will relax back to a particular vibrational level will be dictated by its Franck-Condon factor.
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