Abstract
A set of 22 randomly spaced molecules and an excess electron was studied by the method of tight-binding approximation. Optical transition probabilities between the lowest (ground) state and all the other states were computed approximately and plotted against transition energies. It was found that when fluctuation in transfer energy is large the optical transitions can be grouped into two bands. The first band consists of the transitions between the lowest state (localized) and the ``conduction band,'' and the other one involves the ground state and the localized excited states which lie above the conduction band. As the energy fluctuation is diminished, those two bands merge together. A possible relationship of this model to the absorption spectrum of the trapped electron in glassy 3-methylpentane is discussed.
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