11. According to Eq. 42-9, the Fermi energy is given by
2/3
3 h2
EF = " n2/3
m
16 2Ä„
where n is the number of conduction electrons per unit volume, m is the mass of an electron, and h is
the Planck constant. This can be written EF = An2/3, where
2/3 2/3
3 h2 3 (6.626 × 10-34 J·s)2
A = " = " =5.842 × 10-38 J2·s2/kg .
m 9.109 × 10-31 kg
16 2Ä„ 16 2Ä„
Since 1 J = 1 kg·m2/s2, the units of A can be taken to be m2·J. Dividing by 1.602 × 10-19 J/eV, we
obtain A =3.65 × 10-19 m2· eV.

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