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note
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The density of states function for band tails in a semiconductor has a Gaussian form. Thus, the lower energy line shape of the photoluminescence due to direct transitions between the conduction and valence band tails is expected to be Gaussian. Furthermore, the width of the photoluminescence line is proportional to the second moment of the Gaussian density of states function, which has a slower dependence on impurity concentration than a 2/3 power.
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