Electronic Properties of Crystalline Solids - 1st Edition - ISBN: 9780121385507, 9780323146654

Electronic Properties of Crystalline Solids

1st Edition

An Introduction to Fundamentals

Authors: Richard Bube
eBook ISBN: 9780323146654
Imprint: Academic Press
Published Date: 28th January 1974
Page Count: 540
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Electronic Properties of Crystalline Solids: An Introduction to Fundamentals discusses courses in the electronic properties of solids taught in the Department of Materials Science and Engineering at Stanford University. The book starts with a brief review of classical wave mechanics, discussing concept of waves and their role in the interactions of electrons, phonons, and photons. The book covers the free electron model for metals, and the origin, derivation, and properties of allowed and forbidden energy bands for electrons in crystalline materials. It also examines transport phenomena and optical effects in crystalline materials, including electrical conductivity, scattering phenomena, thermal conductivity, Hall and thermoelectric effects, magnetoresistance, optical absorption, photoconductivity, and other photoelectronic effects in both ideal and real materials. This book is intended for upper-level undergraduates in a science major, or for first- or second-year graduate students with an interest in the scientific basis for our understanding of properties of materials.

Table of Contents


Chapter 1 Classical Waves: A Review

1.1 General Properties of Waves

1.2 General Approach to Wave Problems

1.3 Long-Wavelength Waves in Strings and Rods

1.4 Lattice Waves in a One-Dimensional Crystal

1.5 Electromagnetic Waves

1.6 Summary


Chapter 2 Wave Approach to Quantum Mechanics

2.1 Simple Applications of a Wave Analogy

2.2 The Schroedinger Equation

2.3 Basic Postulates of Quantum Mechanics

2.4 Interpretation of the Wavefunction

2.5 Orthogonality

2.6 Expectation Values

2.7 Dirac Notation

2.8 Summary


Chapter 3 Quantum Mechanical Treatment of Simple Systems

3.1 A Free Particle

3.2 A Particle in a One-Dimensional Potential Well

3.3 A Linear Harmonic Oscillator

3.4 A Hydrogenic Atom

3.5 Summary


Chapter 4 Free-Electron Model of Metals

4.1 Atomic Energy Levels and the Periodic Table

4.2 The Sommerfeld Free-Electron Model

4.3 Traveling Waves and Periodic Boundary Conditions

4.4 Hartree Model for Free Electrons in a Metal

4.5 Occupancy of Allowed Energy Levels for Free Electrons in a Metal

4.6 Examples of Applications of the Free-Electron Model for Metals

4.7 Summary


Chapter 5 Origin of Energy Bands in Solids

5.1 Wavefunction for an Electron in a Periodic Potential

5.2 The Cellular Method

5.3 Geometrical Considerations: Reciprocal Lattice and Brillouin Zones

5.4 Energy Bands in a Perturbed Nearly Free Electron System

5.5 Energy Bands in the Tight-Binding Approximation

5.6 Summary


Chapter 6 Properties of Energy Bands

6.1 Energy-Band Calculations

6.2 Density of States in Energy Bands

6.3 Electron Velocity and Effective Mass

6.4 The Band Model and Electrical Properties

6.5 Energy Bands in Real Crystals

6.6 Excitons and Polarons

6.7 Bands and Bonds

6.8 Summary


Chapter 7 Carrier Transport

7.1 Wave Packets

7.2 Description of Particle Motion Using Wave Packets

7.3 The Boltzmann Equation

7.4 Solution of the Boltzmann Equation

7.5 Relaxation-Time Solution of the Boltzmann Equation

7.6 Electrical Conductivity in the Relaxation-Time Approximation

7.7 Electrical Conductivity in Semiconductors and Metals

7.8 Thermal Conductivity Due to Electrons

7.9 Thermoelectric Effect

7.10 Summary


Chapter 8 Scattering Processes

8.1 Scattering by Acoustic-Mode Lattice Waves: Simple Model of Wave Reflection

8.2 Scattering by Acoustic-Mode Lattice Waves: Perturbation Calculation

8.3 Charged-Imperfection Scattering

8.4 Other Scattering Mechanisms

8.5 High-Electric-Field Effects in Semiconductors

8.6 Summary


Chapter 9 Localized Energy Levels

9.1 Energy Levels in an Imperfect Crystal

9.2 Imperfection Terminology

9.3 Description of Imperfection Incorporation

9.4 Description of Electronic Behavior

9.5 Theory of Shallow Imperfection Energy Levels

9.6 Thermal-Equilibrium Fermi Level in Semiconductors and Insulators

9.7 Fermi-Level Description of Electrical Conductivity

9.8 Imperfection Interactions

9.9 Device Applications Describable by the Band Picture of Imperfect Semiconductors

9.10 Summary


Chapter 10 Magnetic-Field Effects

10.1 Low Magnetic Fields in the Linear Approximation

10.2 Types of Mobility

10.3 General Treatment of the Low-Magnetic-Field Range

10.4 Effects of Scattering Mechanisms

10.5 Effects of Band Structure

10.6 Magnetothermal Effects

10.7 High-Magnetic-Field Effects

10.8 Summary


Chapter 11 Optical Absorption

11.1 Free-Carrier Absorption

11.2 Optical Transitions between Bands

11.3 Direct Intrinsic Transition

11.4 Indirect Intrinsic Transition

11.5 Exciton Absorption

11.6 Summary


Chapter 12 Photoelectronic Effects

12.1 General Concepts

12.2 Electrical Contacts

12.3 Analytical Approaches

12.4 Models of Photoconductivity

12.5 Recombination Mechanisms

12.6 Recombination Kinetics

12.7 Related Photoelectronic Effects

12.8 Summary


Appendix Units and Conversion Factors




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© Academic Press 1974
Academic Press
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About the Author

Richard Bube

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