513.001 Molecular and Solid State Physics

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Average electron energy in a metal

For a metal at a temperature of T = 0 K, the conduction electrons at the bottom of the band have an energy E = 0 and the conduction electrons with the highest energy have an energy E = Ef. Assuming that the density of states is given by D(E) = 3n√E/(2EF3/2), what is the average energy of the conduction electrons?