# Appendix:

## Appendix 8: Numeric answers to selected problems

Spreadsheet with predefined physical constants and material parameters

### Chapter 1

01. 0.62 mm, 0.87 nm
02. 1.55 eV, 375 THz, 4 x 1018
03.
04. 16.5 mm
05.
06. 3.88 nm
07. -13.6 eV, -3.4 eV, -1.51 eV
08.
09.
10. 0.056 eV, 1.40 eV and 2.75 eV
11.
12. 172 meV
13. 138 meV

### Chapter 2

01. 52.36%, 68.02%, 74.05%, 34.01%
02. 406.3°C
03.
04. 0.0099
05. 6.29 x 10-5, 0.045, 484.7°C
06. 1.02 x 1019, 5.65 x 1018; 2.82 x 1019, 1.83 x 1019; 4.37 x 1017, 7.57 x 1018 cm-3
1.42 x 1019, 7.83 x 1018; 3.91 x 1019, 2.54 x 1019; 6.04 x 1017, 1.05 x 1019 cm-3
07. 2.16 x 1013, 8.81 x 109, 1.97 x 106; 3.67 x 1014, 8.55 x 1011, 6.04 x 108 cm-3
08. -7.68 meV, -5.58 meV, 36.91 meV
-9.56 meV, -6.94 meV, 45.92 meV
09. 2.24 x 1018, 1.48 x 108; 1.60 x 1015, 1.32 x 105; 2.23 x 1011, 18.4 cm-3
9.27 x 1013, 4.45 x 1012; 6.02 x 1014, 3.50 x 105; 3.97 x 1012, 1.04 cm-3
10.
11. 104 cm-3, 0.357 eV
12. 1012 cm-3, 108 cm-3
13. 9.17 x 1014, 9.15 x 1014, 2.76 x 1015 cm-3
14. 7.59 x 1016 cm-3
15. 2.77 x 1019 cm-3s-1, 2.77 x 1015 cm-3, 2.77 x 1015 cm-3, 417 meV, -324 meV
16. 5x1012 cm-3s-1, 2ms
17. 2.96 x 10-6 cm/Ohm, 337 kOhm-cm
18. 393 kOhm-cm, 5.67 x 109, 1.76 x 1010, 1.20 x 1010 cm-3
19. 18, 42, 60 meV
20. 2.42 nm
21. 2.42 x 1021 cm-3eV-1
22. 4.74 %, 95.26 %
23.
24. 1.39
25. 30 kV/cm, 15 V, 16.7 ps
26. 8.92 x 1014 cm-3, 6.94 x 1015 cm-3
27. 0.455 mm
28. 2111 cm2/V-s
29. -106K
30. 16 A/cm2
31. 6.92 x 1016 cm-3, 2.78 x 1017 cm-3, 6.65 x 1017 cm-3
32. 2.36 x 1018 cm-3, 2,095 cm2/V-s
33. 9.21 x 1012cm-3
34. 2.09 x 1012cm-3

### Chapter 3

01. 1.84 x 1017 cm-3, 75 nm, 737 kV/cm
02. -0.14 V, -0.64 V, -0.13 V
03.  6.24 x 10-7 cm2
04. 154-269 MHz
05.
06. -324 kV/cm
07. 89nm, 1.35 MV/cm
08. 1.42 mm, -113 V
09. 6.24 x 1015 cm-3, -5.1 V
10.

### Chapter 4

01.  0.75 V, 785 nm, -95.5 kV/cm
02. 104 cm-3, 1016 cm-3, 9 x 1016 cm-3, 1.11 x 103 cm-3; 0.771 V; 0.729 V;
03.  -12.4 kV/cm, 1.65 x 1015 cm-3
04. 0.76 V; 0.35, 0.20, 0.72 micron; -43.8, -25.5, -90.8 kV/cm; 0.13, 0.04, 0.54 V;
05. 1.71 x 1015 cm-3, 0.65 V, 5.91 x 109 cm-3
06. 2.84 x 1014 cm-3
07. 3.27 x 1017 cm-3, 8.22 x 1016 cm-3, 0.86 V, -49 V
08. 7.6 x 1015, 492 nm, 21.4 nF/cm2, 28 kV/cm
4.4 x 1014, 1.3 x 1016, 528 nm, 20 nF/cm2, 26.5 kV/cm
09. 3.29 x 1013 cm-3, 0.768 V, 0.02 cm and 52.6 pF/cm2
10. 0.04 mA
11.
12. 0.0758
13. 0.208 mA, 260
14. 3 x 105 V/cm, 19.6 micron, -293 V
15. 0.445 V, 12.6 mW, 80.9%, 85.5%
16.
17. 1016 cm-3, 8.4 x 1014 cm-3
18.
19. 0.136 V
20.

### Chapter 5

01. 0.99, 0.41, 3.70 mm; 8.81, 16.08, 8.81 mm; 8.86, 38.94, 2.38;
2.03 x 10-11, 8.42 x 10-11, 0 C/cm2; 0.259 mA; 33 ps, 84.2 nA; 0.9877, 0.9997;
0.9874, 78.19; 31.9 nF/cm2, 661 nC/cm2, 20.74;
02. 0.33 mm, 9.69 x 1014 cm-3

### Chapter 6

01. -0.927, 0.149, -0.153, 0.632, -1.071, 0.005, -0.963, 0.113 V
02. 180 nF/cm2, 19.2 nm, 117 nm, 7.8 x 1016 cm-3, 410 mV, 14.4 pF, -281 mV, 1.36 V
03. 7.2 x 1016 cm-3
04. 7.62 x 1016, 2.31 x 1016, 2.12 x 1016, 7.95 x 1016 cm-3
05. 1.38 x 1014, 7.69 x 1014 cm-3
06. -1.11 V, 48.2 nF/cm2
07. -0.0015 V, -0.619 V

### Chapter 7

01. 322 Ohm, 2.25 V
02. 173 nF/cm2, 17.3 fF, 51.8 mA
03. 154 mm
04. 48.3 mm
05. 0.62 Ohm
06. 0.31 mm, 46.6 kV/cm
07. 105 nm
08. 58 nm
09.
10. 170 nm