Solved Problems in Solid State Physics contains more than five hundred solved problems, covering the latest developments in the area of solid state physics, including recent findings on topics such as high temperature superconductivity and nanomaterials. The book fuses pedagogical introductions and sections of worked problems to guide students on their physics education journey. Over one hundred books and journals have been referred to in the preparation of this book, and references and resources are clearly stated in each chapter. It is a culmination of years of teaching and research for more than four decades.
Problems have been chosen in the areas of solid state physics, material science, and metallurgy, and ancillary material provides detailed theory and lectures summarizing the problems. Dr. Asokamani has published textbooks on solid physics which incorporate much content on fundamentals and theory, and this book is an expansion on these topics, concentrating fully on worked problems. This will enable students, research scholars, and faculty members to gain a better understanding on the principles involved in various topics and their varied applications.
1. 1.1 Introduction - p. 1 2. 1.2 Blackbody radiation - p. 1 3. 1.3 Atomic physics - p. 6 4. 1.4 Matter waves - p. 11 5. 1.5 Photoelectric effect - p. 22 6. 1.6 X-ray analysis - p. 27 7. 1.7 Basic quantum mechanics - p. 35 8. 1.8 Schrödinger’s wave equation - p. 37 9. 1.9 Uncertainty principle - p. 37 10. 1.10 Particle in a box - p. 43 11. 1.11 Tunneling - p. 48 12. 1.12 Two-mark questions - p. 53 13. 1.13 One-mark questions - p. 56 14. 2. Crystal structure of solids - p. 69 15. 2.1 Introduction - p. 69 16. 2.2 Miller indices - p. 90 17. 2.3 Voids - p. 98 18. 2.4 X-ray diffraction - p. 106 19. 2.5 Reciprocal lattice and Brillouin zones - p. 116 20. 2.6 Two-mark questions - p. 119 21. 2.7 One-mark questions - p. 121 22. 3. Bonding in solids - p. 129 23. 3.1 Introduction - p. 129 24. 3.2 Bonding between atoms - p. 129 25. 3.3 Van der Waals bonding - p. 134 26. 3.4 Ionic bonding - p. 140 27. 3.5 Metallic bonding - p. 145 28. 3.6 Covalent bonding - p. 152 29. 3.7 Mixed bonding - p. 154 30. 3.8 Two-mark questions - p. 163 31. 3.9 One-mark questions - p. 165 32. 4. Thermal properties of solids - p. 173 33. 4.1 Introduction - p. 173 34. 4.2 Theories of specific heat:-Dulong and Petit’s law - p. 174 35. 4.3 Debye’s temperature of solids - p. 176 36. 4.4 Lattice vibrations - p. 181 37. 4.5 Phonon softening - p. 188 38. 4.6 Two-mark questions - p. 216 39. 4.7 One-mark questions - p. 220 40. 5. Free Electron Theory of Metals - p. 225 41. 5.1 Introduction - p. 225 42. 5.2 Classical free electron theory - p. 226 43. 5.3 Quantum free electron theory - p. 228 44. 5.4 Fermi-Dirac Distribution Function - p. 240 45. 5.5 Two-mark Questions - p. 257 46. 5.6 One-mark questions - p. 259 47. 5.7 Appendix: Quantum free electron theory - p. 260 48. 6. Band theory of solids - p. 269 49. 7. Semiconductor physics - p. 325 50. 7.1 Introduction - p. 325 51. 7.2 Intrinsic semiconductors - p. 326 52. 7.4 Hall effect in semiconductors - p. 326 53. 7.5 PN junction - p. 327 54. 7.6 Tunnel diode - p. 348 55. 7.7 Solar Cell - p. 353 56. 7.9 Two-mark questions - p. 355 57. 7.10 One-mark questions - p. 360 58. 7.3 Extrinsic semiconductors - p. 364 59. 7.8 Semiconductor Quantum well - p. 364 60. 8. Magnetism - p. 365 61. 8.1 Introduction - p. 366 62. 8.2 Diamagnetism - p. 372 63. 8.3 Paramagnetism - p. 377 64. 9. Superconductivity - p. 417 65. 9.1 Introduction - p. 417 66. 9.2 Decay of current in an Ohmic conductor - p. 418 67. 9.4 Magnetic property: Meissner effect - p. 418 68. 9.5 Optical absorption - p. 419 69. 9.6 Critical current - p. 419 70. 9.7 Isotope effect - p. 419 71. 9.8 Coherence length - p. 420 72. 9.9 Jump in the heat capacity - p. 420 73. 9.10 London penetration depth - p. 421 74. 9.11 Entropy change - p. 422 75. 9.12 Change in thermal conductivity - p. 422 76. 9.13 Cooper pairs - p. 422 77. 9.14 Tunneling - p. 422 78. 9.15 High-Tc superconductors - p. 422 79. 9.16 Two-mark questions - p. 455 80. 9.17 Explanatory questions and answers - p. 461 81. 9.18 Descriptive/multiple choice: One-mark questions - p. 469 82. 9.3 Persistent current - p. 477 83. 10. Nanomaterials - p. 479 84. 10.1 Introduction - p. 479 85. 10.2 Electrical property variation (From bulk to nano) - p. 498 86. 10.3 Mechanical property variation (from bulk to nano) - p. 500 87. 10.4 Variation in thermal properties (from bulk to nano) - p. 507 88. 10.5 Variation in optical property (from bulk to nano) - p. 512 89. 10.6 Nano in biomedicine - p. 516 90. 10. 7 Surface tension in nanomaterials - p. 518 91. 10.8 Magnetic property variation (from bulk to nano) - p. 521 92. 10.9 Topological materials - p. 524 93. 10.10 Two-mark questions - p. 532 94. 10.11 One-mark questions - p. 535 95. Index - p. 543
Solved Problems in Solid State Physics contains more than five hundred solved problems, covering the latest developments in the area of solid state physics, including recent findings on topics such as high temperature superconductivity and nanomaterials. The book fuses pedagogical introductions and sections of worked problems to guide students on their physics education journey. Over one hundred books and journals have been referred to in the preparation of this book, and references and resources are clearly stated in each chapter. It is a culmination of years of teaching and research for more than four decades.
Problems have been chosen in the areas of solid state physics, material science, and metallurgy, and ancillary material provides detailed theory and lectures summarizing the problems. Dr. Asokamani has published textbooks on solid physics which incorporate much content on fundamentals and theory, and this book is an expansion on these topics, concentrating fully on worked problems. This will enable students, research scholars, and faculty members to gain a better understanding on the principles involved in various topics and their varied applications.
1. 1.1 Introduction - p. 1 2. 1.2 Blackbody radiation - p. 1 3. 1.3 Atomic physics - p. 6 4. 1.4 Matter waves - p. 11 5. 1.5 Photoelectric effect - p. 22 6. 1.6 X-ray analysis - p. 27 7. 1.7 Basic quantum mechanics - p. 35 8. 1.8 Schrödinger’s wave equation - p. 37 9. 1.9 Uncertainty principle - p. 37 10. 1.10 Particle in a box - p. 43 11. 1.11 Tunneling - p. 48 12. 1.12 Two-mark questions - p. 53 13. 1.13 One-mark questions - p. 56 14. 2. Crystal structure of solids - p. 69 15. 2.1 Introduction - p. 69 16. 2.2 Miller indices - p. 90 17. 2.3 Voids - p. 98 18. 2.4 X-ray diffraction - p. 106 19. 2.5 Reciprocal lattice and Brillouin zones - p. 116 20. 2.6 Two-mark questions - p. 119 21. 2.7 One-mark questions - p. 121 22. 3. Bonding in solids - p. 129 23. 3.1 Introduction - p. 129 24. 3.2 Bonding between atoms - p. 129 25. 3.3 Van der Waals bonding - p. 134 26. 3.4 Ionic bonding - p. 140 27. 3.5 Metallic bonding - p. 145 28. 3.6 Covalent bonding - p. 152 29. 3.7 Mixed bonding - p. 154 30. 3.8 Two-mark questions - p. 163 31. 3.9 One-mark questions - p. 165 32. 4. Thermal properties of solids - p. 173 33. 4.1 Introduction - p. 173 34. 4.2 Theories of specific heat:-Dulong and Petit’s law - p. 174 35. 4.3 Debye’s temperature of solids - p. 176 36. 4.4 Lattice vibrations - p. 181 37. 4.5 Phonon softening - p. 188 38. 4.6 Two-mark questions - p. 216 39. 4.7 One-mark questions - p. 220 40. 5. Free Electron Theory of Metals - p. 225 41. 5.1 Introduction - p. 225 42. 5.2 Classical free electron theory - p. 226 43. 5.3 Quantum free electron theory - p. 228 44. 5.4 Fermi-Dirac Distribution Function - p. 240 45. 5.5 Two-mark Questions - p. 257 46. 5.6 One-mark questions - p. 259 47. 5.7 Appendix: Quantum free electron theory - p. 260 48. 6. Band theory of solids - p. 269 49. 7. Semiconductor physics - p. 325 50. 7.1 Introduction - p. 325 51. 7.2 Intrinsic semiconductors - p. 326 52. 7.4 Hall effect in semiconductors - p. 326 53. 7.5 PN junction - p. 327 54. 7.6 Tunnel diode - p. 348 55. 7.7 Solar Cell - p. 353 56. 7.9 Two-mark questions - p. 355 57. 7.10 One-mark questions - p. 360 58. 7.3 Extrinsic semiconductors - p. 364 59. 7.8 Semiconductor Quantum well - p. 364 60. 8. Magnetism - p. 365 61. 8.1 Introduction - p. 366 62. 8.2 Diamagnetism - p. 372 63. 8.3 Paramagnetism - p. 377 64. 9. Superconductivity - p. 417 65. 9.1 Introduction - p. 417 66. 9.2 Decay of current in an Ohmic conductor - p. 418 67. 9.4 Magnetic property: Meissner effect - p. 418 68. 9.5 Optical absorption - p. 419 69. 9.6 Critical current - p. 419 70. 9.7 Isotope effect - p. 419 71. 9.8 Coherence length - p. 420 72. 9.9 Jump in the heat capacity - p. 420 73. 9.10 London penetration depth - p. 421 74. 9.11 Entropy change - p. 422 75. 9.12 Change in thermal conductivity - p. 422 76. 9.13 Cooper pairs - p. 422 77. 9.14 Tunneling - p. 422 78. 9.15 High-Tc superconductors - p. 422 79. 9.16 Two-mark questions - p. 455 80. 9.17 Explanatory questions and answers - p. 461 81. 9.18 Descriptive/multiple choice: One-mark questions - p. 469 82. 9.3 Persistent current - p. 477 83. 10. Nanomaterials - p. 479 84. 10.1 Introduction - p. 479 85. 10.2 Electrical property variation (From bulk to nano) - p. 498 86. 10.3 Mechanical property variation (from bulk to nano) - p. 500 87. 10.4 Variation in thermal properties (from bulk to nano) - p. 507 88. 10.5 Variation in optical property (from bulk to nano) - p. 512 89. 10.6 Nano in biomedicine - p. 516 90. 10. 7 Surface tension in nanomaterials - p. 518 91. 10.8 Magnetic property variation (from bulk to nano) - p. 521 92. 10.9 Topological materials - p. 524 93. 10.10 Two-mark questions - p. 532 94. 10.11 One-mark questions - p. 535 95. Index - p. 543
