Integrating Equation 37.5 over all energies gives the total number of states per unit volume in a
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Integrating Equation 37.5 over all energies gives the total number of states per unit volume in a metal. Therefore, integrating from E = 0 to E = EF?that is, over the occupied states only gives the number of conduction electrons per unit volume. Carry out this integration to show that the electron number density is given by
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( 29/2mm³/2' 3/2 n = 3h? 8(E) = VE (37.5)
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