The density of the electron states in a metal can be written g(E) = AE1/2, where A

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The density of the electron states in a metal can be written g(E) = AE1/2, where A is a constant and E is measured from the bottom of the conduction band.

(a) Show that the total number of states is 2/3AE3/2F

(b) Approximately what fraction of the conduction electrons are within kT of the Fermi energy?

(c) Evaluate this fraction for copper at T = 300 K.

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