# Physics of Materials: Essential Concepts of Solid-State Physics

ISBN: 9788126557875

268 pages

eBook also available for institutional users

## Description

This book examines essential concepts in Solid-State Physics. The accompanying DVD, containing 40 lectures of approximately an hour each, provides the student with the classroom experience. Animations are also included in the DVD to enable a more visual experience to understand the discussed concepts. Significant effort has been put in to present the material at the right level of detail such that it can be accessed and utilized by undergraduate and postgraduate students with a wide range of backgrounds. A conscious effort has been made to ensure that the level of detail used in the presentation enables students to stay with the content throughout.

Preface

Chapter 1 Introduction – Use and Study of Materials

1.1 Introduction

1.2 Materials and the Engineer

1.3 Materials and a Scientist

1.4 Modeling a Material

1.5 Approach Used in This Book

Chapter 2 Properties of Materials

2.1 Introduction

2.2 Mechanical Properties

2.3 Chemical Properties

2.4 Electrical Properties

2.5 Thermal Properties

2.6 Magnetic Properties

2.7 Optical Properties

2.8 Understanding Material Properties

Chapter 3 Thermal Expansion

3.1 Introduction

3.2 Use of Thermal Expansion / Contraction

3.3 Model for Thermal Expansion

Chapter 4 Electrical Conductivity

4.1 Introduction

4.2 Charge Carriers

4.3 Direct Current Conductivity Measurement

4.4 Alternating Current Conductivity Measurement

4.5 Short Note on Superconductivity

Chapter 5 Free Electron Gas and The Ideal Gas

5.1 Introduction

5.2 The Free Electron Gas

5.3 Packing Fraction in Solids

5.4 Reasons for Caution with the Free Electron Model

5.5 The Kinetic Theory of Gases

Chapter 6 The Drude Model

6.1 Introduction

6.2 Electrical Conductivity

6.3 Thermal Conductivity

6.4 The Wiedemann–Franz Law

6.5 Shortcomings of the Drude Model

Chapter 7 Large Systems, Statistical Mechanics and The Maxwell–Boltzmann Statistics

7.1 Introduction

7.2 Systems with Large Collections of Particles

7.3 Statistical Mechanics

7.4 The Maxwell–Boltzmann Statistics

Chapter 8 A Brief History of Quantum Mechanics; Its Use in the Drude–Sommerfeld Model

8.1 Introduction

8.2 Classical Particles and Quantum Mechanical Particles

8.3 A Brief History of Quantum Mechanics

8.4 The Drude–Sommerfeld Model

Chapter 9 Fermi–Dirac Statistics

9.1 Introduction

9.2 The Fermi–Dirac Statistics

9.3 Features of the Fermi–Dirac Distribution

9.4 Comparing Maxwell–Boltzmann and Fermi–Dirac Distributions

Chapter 10 Anisotropy, Periodic Potential, Confinement and Quantization

10.1 Introduction

10.2 Anisotropy in Crystalline Solids

10.3 Periodic Potential in a Crystalline Solid

10.4 Confinement and Quantization – Waves on a String Analogy

10.5 Confinement and Quantization – Quantum Mechanical Approach

Chapter 11 Density of States, Fermi Energy and The Electronic Contribution to Specific Heat at Constant Volume

11.1 Introduction

11.2 Density of States

11.3 Aspects Associated with Electrons Filling Energy Levels

11.4 Fermi Energy

11.5 Fermi Surface

11.6 Fermi Temperature

11.7 Estimating the Electronic Contribution to Specific Heat at Constant Volume

11.8 Further Improving the Model of the Solid

Chapter 12 The Reciprocal Space

12.1 Introduction

12.2 Defining Reciprocal Space

12.3 Properties of Reciprocal Space

12.4 Diffraction in Reciprocal Space

12.5 The Ewald Sphere

12.6 Crystal Lattices in Reciprocal Space

12.7 Reciprocal Lattice as the Fourier Transform of the Real Lattice

12.8 Another Way to Define or Describe Reciprocal Space

Chapter 13 Wigner–Seitz Cell, Brillouin Zones and The Origin of Bands

13.1 Introduction

13.2 The Wigner–Seitz Cell

13.3 The Brillouin Zone

13.4 Significance of Bragg Planes

13.5 Interaction of Electron Waves with Brillouin Zones

13.6 The Origin of Bands

Chapter 14 Bands, Band Gaps, Free Electron Approximation and Tight Binding Approximation

14.1 Introduction

14.2 Analytical Approach to The Band Structure – Free Electron Approximation

14.3 Band Structure and Types of Materials

14.4 Band Structure – The Tight Binding Approximation

14.5 Effect of Pressure on Band Structure

14.6 Comparison of Free Electron and Tight Binding Approximations

14.7 Conventions Regarding Representing Band Diagrams

Chapter 15 Material Phenomena Explained using Theories Developed

15.1 Introduction

15.2 Semiconductors

15.3 Types of Semiconductors

15.4 Effect of Temperature on Semiconductors

15.5 Optical Properties of Semiconductors

15.6 The Utility of E versus k Diagrams

15.7 Phonons

15.8 Magnetism

15.9 Electron Compounds

Chapter 16 Superconductivity and The Bose–Einstein Statistics

16.1 Introduction

16.2 Superconductivity

16.3 The Meissner Effect

16.4 The BCS Theory

16.5 The Bose–Einstein Statistics

16.6 The Bose–Einstein Condensate

Chapter 17 Physics of Nano-Scale Materials

17.1 Introduction

17.2 The Exciton

17.3 Confining the Exciton

Summary

Practice Questions

Answers

Bibliography

Index

"Core of a good materials engineer is built around a sound understanding of atomic structure of materials. Since electrons are the primary building blocks of atoms