p42 012

12. We reproduce the calculation of Exercise 6: Combining Eqs. 42-2, 42-3 and 42-4, the number density of
conduction electrons in gold is
(19.3g/cm3)(6.02 × 1023/mol)
n = =5.90 × 1022 cm-3 =59.0 nm-3 .
(197 g/mol)
Now, using the result of Exercise 3 in Chapter 39, Eq. 42-9 leads to
0.121(hc)2 0.121(1240 eV·nm)2
EF = n2/3 = (59.0nm-3)2/3 =5.52 eV .
(mec2) 511 × 103 eV

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