Abstract
The density of states of a narrow non-degenerate (s) band is studied in the tight binding approximation. In the first part, we relate its successive moments to correlation functions of increasing order, averaging over atomic pairs overlap integrals. This method could be, in principle, extended to the d band of liquid transitional metals. In a second part we discuss the values of the first moments and compare them to those of the solid. Then, using some approximations for the n atom correlation functions, we obtain different approximate forms of the density of states.

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