ch41-p021 - 21. The average energy of the conduction...

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write N ( E ) = CE 1/2 , where C is a constant of proportionality. The occupation probability is one for energies below the Fermi energy and zero for energies above. Thus, E C n Ed E C n E F E F avg == z 32 52 0 2 5 // . Now 1/2 3/2 00 2 ()() . 3 F E F C nN E P E d E C E d E E = ∫∫ We substitute this expression into the formula for the average energy and obtain E C E CE E F F F avg = F H G I K J F H G I K J = 2 5 3 2 3 5 / / . 21. The average energy of the conduction electrons is given by
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