Solid State Physics

Solid State Physics
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Enables readers to easily understand the basics of solid state physics Solid State Physics is a successful short textbook that gives a clear and concise introduction to its subject. The presentation is suitable for students who are exposed to this topic for the first time. Each chapter starts with basic principles and gently progresses to more advanced concepts, using easy-to-follow explanations and keeping mathematical formalism to a minimum. This new edition is thoroughly revised, with easier-to-understand descriptions of metallic and covalent bonding, a straightforward proof of Bloch's theorem, a simpler approach to the nearly free electron model, and enhanced pedagogical features, such as more than 100 discussion questions, 70 problems–including problems to train the students’ skills to find computational solutions–and multiple-choice questions at the end of each chapter, with solutions in the book for self-training. Solid State Physics introduces the readers to: Crystal structures and underlying bonding mechanisms The mechanical and vibrational properties of solids Electronic properties in both a classical and a quantum mechanical picture, with a treatment of the electronic phenomena in metals, semiconductors and insulators More advanced subjects, such as magnetism, superconductivity and phenomena emerging for nano-scaled solidsFor bachelor’s students in physics, materials sciences, engineering sciences, and chemistry, Solid State Physics serves as an introductory textbook, with many helpful supplementary learning resources included throughout the text and available online, to aid in reader comprehension.

Оглавление

Philip Hofmann. Solid State Physics

Table of Contents

List of Tables

List of Illustrations

Guide

Pages

Solid State Physics. An Introduction

Preface to the First Edition

Preface to the Second Edition

Preface to the Third Edition

Physical Constants and Energy Equivalents

1 Crystal Structures

1.1 General Description of Crystal Structures

1.2 Some Important Crystal Structures

1.2.1 Cubic Structures

1.2.2 Close‐Packed Structures

1.2.3 Structures of Covalently Bonded Solids

1.3 Crystal Structure Determination

1.3.1 X‐Ray Diffraction

1.3.1.1 Bragg Theory

1.3.1.2 Lattice Planes and Miller Indices

1.3.1.3 General Diffraction Theory

1.3.1.4 The Reciprocal Lattice

1.3.1.5 The Meaning of the Reciprocal Lattice

1.3.1.6 X‐Ray Diffraction from Periodic Structures

1.3.1.7 The Ewald Construction

1.3.1.8 Relation Between Bragg and Laue Theory

1.3.2 Other Methods for Structure Determination

1.3.3 Inelastic Scattering

1.4 Further Reading

1.5 Discussion and Problems. Discussion

Basic Concepts

Problems

Notes

2 Bonding in Solids

2.1 Attractive and Repulsive Forces

2.2 Ionic Bonding

2.3 Covalent Bonding

2.4 Metallic Bonding

2.5 Hydrogen Bonding

2.6 Van der Waals Bonding

2.7 Further Reading

2.8 Discussion and Problems. Discussion

Basic Concepts

Problems

Note

3 Mechanical Properties

3.1 Elastic Deformation

3.1.1 Macroscopic Picture. 3.1.1.1 Elastic Constants

3.1.1.2 Poisson's Ratio

3.1.1.3 Relation Between Elastic Constants

3.1.2 Microscopic Picture

3.2 Plastic Deformation

3.2.1 Estimate of the Yield Stress

3.2.2 Point Defects and Dislocations

3.2.3 The Role of Defects in Plastic Deformation

3.3 Fracture

3.4 Further Reading

3.5 Discussion and Problems. Discussion

Basic Concepts

Problems

Note

4 Thermal Properties of the Lattice

4.1 Lattice Vibrations

4.1.1 A Simple Harmonic Oscillator

4.1.2 An Infinite Chain of Atoms

4.1.2.1 One Atom Per Unit Cell

4.1.2.2 The First Brillouin Zone

4.1.2.3 Two Atoms per Unit Cell

4.1.3 A Finite Chain of Atoms

4.1.4 Quantized Vibrations, Phonons

4.1.5 Three‐Dimensional Solids

4.1.5.1 Generalization to Three Dimensions

4.1.5.2 Estimate of the Vibrational Frequencies from the Elastic Constants

4.2 Heat Capacity of the Lattice

4.2.1 Classical Theory and Experimental Results

4.2.2 Einstein Model

4.2.3 Debye Model

4.3 Thermal Conductivity

4.4 Thermal Expansion

4.5 Allotropic Phase Transitions and Melting

References

4.6 Further Reading

4.7 Discussion and Problems. Discussion

Basic Concepts

Problems

Notes

5 Electronic Properties of Metals: Classical Approach

5.1 Basic Assumptions of the Drude Model

5.2 Results from the Drude Model

5.2.1 DC Electrical Conductivity

5.2.2 Hall Effect

5.2.3 Optical Reflectivity of Metals

5.2.4 The Wiedemann–Franz Law

5.3 Shortcomings of the Drude Model

5.4 Further Reading

5.5 Discussion and Problems. Discussion

Basic Concepts

Problems

Notes

6 Electronic Properties of Solids: Quantum Mechanical Approach

6.1 The Idea of Energy Bands

6.2 The Free Electron Model. 6.2.1 The Quantum‐Mechanical Eigenstates

6.2.2 Electronic Heat Capacity

6.2.3 The Wiedemann–Franz Law

6.2.4 Screening

6.3 The General Form of the Electronic States

6.4 Nearly‐Free Electron Model: Band Formation

6.5 Tight‐binding Model

6.6 Energy Bands in Real Solids

6.7 Transport Properties

6.8 Brief Review of Some Key Ideas

References

6.9 Further Reading

6.10 Discussion and Problems. Discussion

Basic Concepts

Problems

Notes

7 Semiconductors

7.1 Intrinsic Semiconductors

7.1.1 Temperature Dependence of the Carrier Density

7.2 Doped Semiconductors

7.2.1 n and p Doping

7.2.2 Carrier Density

7.3 Conductivity of Semiconductors

7.4 Semiconductor Devices

7.4.1 The pn Junction

7.4.2 Transistors

7.4.3 Optoelectronic Devices

7.5 Further Reading

7.6 Discussion and Problems. Discussion

Basic Concepts

Problems

Note

8 Magnetism

8.1 Macroscopic Description

8.2 Quantum‐Mechanical Description of Magnetism

8.3 Paramagnetism and Diamagnetism in Atoms

8.4 Weak Magnetism in Solids

8.4.1 Diamagnetic Contributions. 8.4.1.1 Contribution from the Atoms

8.4.1.2 Contribution from the Free Electrons

8.4.2 Paramagnetic Contributions

8.4.2.1 Curie Paramagnetism

8.4.2.2 Pauli Paramagnetism

8.5 Magnetic Ordering

8.5.1 Magnetic Ordering and the Exchange Interaction

8.5.2 Magnetic Ordering for Localized Spins

8.5.3 Magnetic Ordering in a Band Picture

8.5.4 Ferromagnetic Domains

8.5.5 Hysteresis

Reference

8.6 Further Reading

8.7 Discussion and Problems. Discussion

Basic Concepts

Problems

Notes

9 Dielectrics

9.1 Macroscopic Description

9.2 Microscopic Polarization

9.3 The Local Field

9.4 Frequency Dependence of the Dielectric Constant. 9.4.1 Excitation of Lattice Vibrations

9.4.2 Electronic Transitions

9.5 Other Effects. 9.5.1 Impurities in Dielectrics

9.5.2 Ferroelectricity

9.5.3 Piezoelectricity

9.5.4 Dielectric Breakdown

9.6 Further Reading

9.7 Discussion and Problems. Discussion

Basic Concepts

Problems

Notes

10 Superconductivity

10.1 Basic Experimental Facts. 10.1.1 Zero Resistivity

10.1.2 The Meissner Effect

10.1.3 The Isotope Effect

10.2 Some Theoretical Aspects. 10.2.1 Phenomenological Theory

10.2.2 Microscopic BCS Theory

10.3 Experimental Detection of the Gap

10.4 Coherence of the Superconducting State

10.5 Type‐I and Type‐II Superconductors

10.6 High‐Temperature Superconductivity

10.7 Concluding Remarks

References

10.8 Further Reading

10.9 Discussion and Problems. Discussion

Basic Concepts

Problems

Notes

11 Finite Solids and Nanostructures

11.1 Quantum Confinement

11.2 Surfaces and Interfaces

11.3 Magnetism on the Nanoscale

11.4 Further Reading

11.5 Discussion and Problems. Discussion

Basic Concepts

Problems

Appendix A

A.1 Explicit Forms of Vector Operations

A.2 Differential Form of the Maxwell Equations

A.3 Maxwell Equations in Matter

Note

Appendix B. B.1 Solutions to Basic Concepts Questions

Index

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Отрывок из книги

Third Edition

Philip Hofmann

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Equation 1.11 is our final result. It relates the measured intensity to the electron concentration in the sample. Except for very light elements, most of the electrons are located close to the ion cores and the electron concentration that scatters the X‐rays is essentially identical to the geometrical arrangement of the atomic cores. Hence, Eq. (1.11) can be used for the desired structure determination. To this end, one could try to measure the intensity as a function of scattering vector and to infer the structure from the result. This is a formidable task, however. It is greatly simplified by the fact that the specimen under investigation is a crystal with a periodic lattice. In the following, we introduce the mathematical tools and concepts that are needed to exploit the crystalline structure in the analysis. The most important of these is the so‐called reciprocal lattice.

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