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Absorption and emission of a given molecular system are characterized by their specific spectral distributions. Great effort was undertaken to get spectral profiles of liquid dye solutions in analytical forms. One of the infallible methods for a spectral profile description is the momentum method. An observed spectral distribution, independently on a theoretical specification of the system, is represented by the set of moments expressing the maximum positions, half-widths and asymetries of the spectum [1]. It appears that in most cases of stuctureless bands the first three moments suffice for the description of their profiles. Another spectral distribution, accurately reproducing electronic band profiles is the log-normal distribution [2, 3]. This distribution is also a three parameter distribution similar to those, based on the configurational model [4]. Many attempts were undertaken for the adaptations of Gaussian distributions and their superpositions to represent the molecular spectra. Unfortunately molecular electronic spectra never appear as Gaussian. The superposition of Gaussian curves needs more than three parameters, besides it suggests several numbers of transitions, which may not be present. It is a point why does the log-normal distribution fit so well to the description of so many molecular systems?

Quasi-Molecule Model of the Spectra of Molecules in Polar Solution in Case of Time Dependent Fluorescence Shifts