Fundamentals of Magnetism - 1st Edition - ISBN: 9780124055452, 9780124058590

Fundamentals of Magnetism

1st Edition

Authors: Mario Reis
eBook ISBN: 9780124058590
Hardcover ISBN: 9780124055452
Imprint: Academic Press
Published Date: 17th May 2013
Page Count: 288
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The Fundamentals of Magnetism is a truly unique reference text, that explores the study of magnetism and magnetic behavior with a depth that no other book can provide. It covers the most detailed descriptions of the fundamentals of magnetism providing an emphasis on statistical mechanics which is absolutely critical for understanding magnetic behavior. The books covers the classical areas of basic magnetism, including Landau Theory and magnetic interactions, but features a more concise and easy-to-read style.

Perfect for upper-level graduate students and industry researchers, The Fundamentals of Magnetism provides a solid background of fundamentals with clear and in-depth explanations, in comparison to a brief overview before moving into more advanced topics. Many applications directly for the purpose of a deep understanding of magnetism and other non-cooperative phenomena help readers make the transition from theory to application and experimentation effortless. This book is the true ‘study’ of the fundamentals of magnetism, enabling readers to move into far more advance aspects of magnetism more easily.

Key Features

  • Offers accessible, self-contained content without needing to seek other sources on topics like Fermion fas; angular moment algebra, etc
  • Includes over 60 pages devoted to an in-depth discussion of diamagnetism and paramagnetism, topics usually described in only few pages in other books
  • Incorporates numerous applications including Molecular Magnets and other non-cooperative phenomena


Upper level undergraduate graduate students and researchers in magnetism e.g., physical scientists, materials scientists, chemists, and engineers

Table of Contents



List of Figures

List of Tables

Part One Background

Chapter 1. Introduction

1.1 Quantities and units

1.2 Types of magnetic arrangement

Chapter 2. Hamiltonian of an Electron Under an Electromagnetic Field

2.1 Classical approach

2.2 Quantum-relativistic approach: Dirac equation


Chapter 3. Angular Momenta

3.1 Angular momentum algebra

3.2 Addition of angular momenta

3.3 Magnetic moment

3.4 Angular momenta of atoms



Chapter 4. Thermodynamics

4.1 Thermodynamic laws

4.2 Entropy

4.3 Thermodynamic potentials

4.4 Maxwell relationships

4.5 Thermodynamic square

4.6 Magnetic specific heat

Chapter 5. Statistical Mechanics

5.1 Micro canonical ensemble

5.2 Canonical ensemble

5.3 Indistinguishable and distinguishable particles

5.4 Thermodynamic quantities of N distinguishable particles

5.5 Grand canonical ensemble

5.6 Grand partition function: further developments

Chapter 6. Fermions Gas

6.1 Wave function, eigenvalues, and density of states

6.2 Grand canonical potential and thermodynamic quantities

6.3 Fermi level and chemical potential

6.4 High temperature limit

Part Two Noncooperative Magnetism

Chapter 7. Diamagnetism

7.1 Localized diamagnetism

7.2 Itinerant diamagnetism


Chapter 8. Paramagnetism

8.1 Localized paramagnetism

8.2 Itinerant paramagnetism

8.3 van Vleck paramagnetism



Part Three Cooperative Magnetism

chapter 9. Magnetic Interactions

9.1 Direct exchange

9.2 Indirect exchange

9.3 Asymmetric: Spin–orbit coupling

9.4 Zeeman interaction

9.5 The tensor


Chapter 10. Long-Range Ordering

10.1 Ferromagnetism

10.2 Antiferromagnetism

10.3 Ferrimagnetism



Chapter 11. Landau Theory

11.1 Fundamentals

11.2 Second-order phase transition

11.3 First-order phase transition

Chapter 12. Molecular Magnetism

12.1 Zero-dimensional magnets

12.2 One-dimensional magnets

12.3 Single-molecule magnets



Part Four Appendices

Appendix A. Useful Mathematical Functions

Appendix B. Exercises

Chapter 1

Chapter 2

Chapter 3

Chapter 4

Chapter 5

Chapter 6

Chapter 7

Chapter 8

Chapter 9

Chapter 11

Chapter 12

Appendix C. Solution of Exercises

Chapter 1

Chapter 2

Chapter 3

Chapter 4

Chapter 5

Chapter 6

Chapter 7

Chapter 8

Chapter 9

Chapter 11

Chapter 12




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© Academic Press 2013
Academic Press
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About the Author

Mario Reis


"Reis presents the basics of magnetism to undergraduate and graduate students, especially those who are entering the field, but also those in neighboring fields such as chemistry and engineering." --Reference & Research Book News, October 2013