Crystalline solid state physics : an interactive guide / Meng Lee Leek.

Format:

Book

Author/Creator:

Leek, Meng Lee, author.

Series:

IOP Ebooks Series

Language:

English

Subjects (All):

Crystals.

Solid state physics.

Physical Description:

1 online resource (247 pages)

Edition:

First edition.

Place of Publication:

Bristol, England : IOP Publishing, [2023]

Summary:

This book covers the standard scope of a basic condensed matter course with two unique features to aid students: 1) explicit calculational details are provided and; 2) animations are interspersed throughout the book to aid the visualization of more abstract concepts.

Contents:

Intro

About the author

Meng Lee Leek

Chapter Crystal fundamentals

1.1 Crystal structures

1.1.1 Eleven basic definitions

1.1.2 Concepts and examples illustrated by 2D crystals

1.1.3 Concepts and examples illustrated by 3D crystals

1.1.4 A standard library of 3D structures

1.2 Wave diffraction and the reciprocal lattice

1.2.1 X-ray diffraction of crystals

1.2.2 Reciprocal space (the full story)

1.3 Crystal binding

1.3.1 Inert/rare-gas solids

1.3.2 Ionic crystals

1.3.3 Covalent crystals

1.3.4 Metals

1.4 Exercises

1.4.1 Question: the Wigner-Seitz primitive cell

1.4.2 Question: Miller indices for planes in 2D

1.4.3 Question: 3D directions

1.4.4 Question: reciprocal space primitive translation vectors

1.4.5 Question: graphene as an example of a non-Bravais lattice

1.4.6 Question: hexagonal close packing

1.4.7 Question: the Ewald sphere

1.4.8 Question: the BCC geometrical structure factor

1.4.9 Question: the FCC geometrical structure factor

1.4.10 Question: the Fourier series of a periodic function

1.4.11 Question: the Lennard-Jones potential

1.4.12 Question: ionic bonding

1.4.13 Question: ionic bonding with a different model for repulsion

1.5 Appendix: discrete symmetry operations

References

Chapter Lattice vibrations and thermodynamics

2.1 Lattice vibrations

2.1.1 Harmonic approximation

2.1.2 1D chain (monoatomic basis)

2.1.3 A one-dimensional chain (diatomic basis)

2.1.4 Lattice vibrations in 3D

2.1.5 The quantum story of lattice vibrations: phonons

2.1.6 Interactions and scattering

2.2 Lattice thermodynamics

2.2.1 Experimental results for lattice heat capacity

2.2.2 An explanation of lattice heat capacity

2.2.3 Appendix: density of states (DOS) calculations.

2.2.4 Some topics in lattice thermodynamics that were excluded

2.3 Exercises

2.3.1 Question: the spring constant

2.3.2 Question: a 1D solid, monoatomic basis, 1D vibrations

2.3.3 Question: the photon dispersion relation

2.3.4 Question: 2D lattice thermodynamics

Chapter Electronic properties

3.1 Free electron gas

3.1.1 Classical treatment: the Drude model

3.1.2 Quantum treatment: the Sommerfeld model

3.2 Electronic band theory

3.2.1 General properties of electrons in a periodic potential

3.2.2 Models for band structure calculations

3.2.3 Band theory properties and approximations

3.2.4 A brief mention of the measurement of band structures

3.3 Exercises

3.3.1 Question: the 3D Sommerfeld model

3.3.2 Question: the 2D Sommerfeld model

3.3.3 Question: sketching 2D bands in the empty lattice approximation

3.3.4 Question: the nearly free electron model in 2D

3.3.5 Question: the 1D tight-binding model

3.3.6 Question: comparing the tight-binding and nearly free electron models

3.3.7 Question: the Kronig-Penney model

3.3.8 Question: the tight-binding effective mass

Chapter Basic semiconductor physics

4.1 Homogeneous semiconductors

4.1.1 Intrinsic semiconductors

4.1.2 Extrinsic semiconductors

4.2 Inhomogeneous semiconductors (towards devices)

4.2.1 The p-n junction or diode

4.3 Exercises

4.3.1 Question: dispersion at the bottom of the CB

4.3.2 Question: the exciton energy level

4.3.3 Question: intrinsic hole concentration in the VB

4.3.4 Question: some numbers to test

4.3.5 Question: impurity orbits in real space

4.3.6 Question: the internal electric field of a p-n junction

4.3.7 Question: the doping required for a tunnel diode

Chapter Magnetism

5.1 Preparation

5.1.1 Basic concepts and quantities.

5.1.2 Overview and classification

5.1.3 The Bohr-van Leeuwen theorem

5.2 Diamagnetism

5.2.1 General: an atom in a magnetic field

5.2.2 Diamagnetism of core electrons: Larmor or Langevin diamagnetism

5.2.3 The diamagnetism of conduction electrons: Landau diamagnetism

5.3 Paramagnetism

5.3.1 Atomic paramagnetism: Curie or Langevin paramagnetism

5.3.2 The paramagnetism of conduction electrons: Pauli paramagnetism

5.3.3 Van Vleck paramagnetism

5.3.4 Isentropic demagnetisation or adiabatic demagnetisation

5.4 Collective magnetism

5.4.1 The direct exchange interaction

5.4.2 Ferromagnetic order

5.4.3 Antiferromagnetic and ferrimagnetic orders

5.5 Exercises

5.5.1 Question: a numerical comparison of diamagnetism and paramagnetism

5.5.2 Question: the exchange interaction is not a magnetic dipole-dipole interaction

5.5.3 Question: the corrected derivation of ferromagnetic spin waves

5.5.4 Question: the ground state of an antiferromagnet is a difficult problem

5.5.5 Question: the Weiss mean field theory for ferrimagnetism

Chapter Solutions to the exercises

6.1 Solutions for exercise 1.4

6.1.1 Solution to question 1.4.1

6.1.2 Solution to question 1.4.2

6.1.3 Solution to question 1.4.3

6.1.4 Solution to question 1.4.4

6.1.5 Solution to question 1.4.5

6.1.6 Solution to question 1.4.6

6.1.7 Solution to question 1.4.7

6.1.8 Solution to question 1.4.8

6.1.9 Solution to question 1.4.9

6.1.10 Solution to question 1.4.10

6.1.11 Solution to question 1.4.11

6.1.12 Solution to question 1.4.12

6.1.13 Solution to question 1.4.13

6.2 Solutions for exercise 2.3

6.2.1 Solution to question 2.3.1

6.2.2 Solution to question 2.3.2

6.2.3 Solution to question 2.3.3

6.2.4 Solution to question 2.3.4

6.3 Solutions for exercise 3.3.

6.3.1 Solution to question 3.3.1

6.3.2 Solution to question 3.3.2

6.3.3 Solution to question 3.3.3

6.3.4 Solution to question 3.3.4

6.3.5 Solution to question 3.3.5

6.3.6 Solution to question 3.3.6

6.3.7 Solution to question 3.3.7

6.3.8 Solution to question 3.3.8

6.4 Solutions for exercise 4.3

6.4.1 Solution to question 4.3.1

6.4.2 Solution to question 4.3.2

6.4.3 Solution to question 4.3.3

6.4.4 Solution to question 4.3.4

6.4.5 Solution to question 4.3.5

6.4.6 Solution to question 4.3.6

6.4.7 Solution to question 4.3.7

6.5 Solutions for exercise 5.5

6.5.1 Solution to question 5.5.1

6.5.2 Solution to question 5.5.2

6.5.3 Solution to question 5.5.3

6.5.4 Solution to question 5.5.4

6.5.5 Solution to question 5.5.

Reference.

Notes:

Description based on publisher supplied metadata and other sources.

Description based on print version record.

Includes bibliographical references.

ISBN:

9780750352192

0750352191

OCLC:

1416752890