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  4. Chapter 25 Electrons in solids: quantum statistics
  5. Chapter 25 problems
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Answers to Chapter 25 problems

25.1.1  –7.83 eV

 

25.1.2   0.30

25.1.3   1.3 eV

25.1.4   6.2 × 10−29 C m;    0.43 

25.1.5   1.386

25.2.1   0.21 m s–1

25.3.1   (i)  \( 19 {\pi^2 \hbar^2  \over 2ma^2} \)    (ii)  \( 24{\pi^2 \hbar^2   \over 2ma^2} \)

25.3.2   (i) 1.03 × 105    (ii)   7.8 × 10–6 eV

25.3.3   4.41 eV

25.3.4   34

25.4.1  \( E_{\textrm{F}}  (0) = {\pi \hbar^2  \over m} n_e \)

25.4.2  2.5 × 105 eV

25.4.3  (a)  \( E_{\textrm{tot}} = {3 \hbar^2  \over 10m} N^{5/3} [{3 \pi^2  \over V}]^{2/3} \)  (b)  \( P = { \hbar^2  \over 5m} ({3 \pi^2})^{2/3} ({N \over V})^{5/3} \);  3.77 × 1010 N m–2   (c)  K = 6.3 x 1010 N m–2  (the effective repulsion due to the exclusion principle accounts for almost half the compressibility of Cu)

25.4.4  1.17 × 1019

25.4.5  (a)  3.26 × 1021 eV (at 300 K)    (b)  3.53 × 1023 eV ;     56 kJ;    28 s.

25.5.1  

25.5.2  0.2

25.5.3  6.7 eV;    (i)  1.09 ×1047 J–1 m–3   (ii)   1.04 ×1047 J–1 m–3  

25.5.4   \( - {1 \over 4kT} \);   E = 2kT + EF

25.5.5   0.14;   149 K

25.6.1   (a)  4.65 × 1028 m−3    (b)  4.74 eV    (c)  1.29 × 106 m s−1    (d)  5.6 × 10−10 m

25.6.2   1.57 × 106 m s−1;    0.095;    420 K

25.7.1   3020 K

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