Fundamentals of magnetism / Mario Reis.

Format:

Book

Author/Creator:

Reis, Mario, 1976-

Language:

English

Subjects (All):

Magnetism--Textbooks.

Magnetism.

Genre:

Textbooks.

Physical Description:

xv, 264 pages : illustrations ; 24 cm

Edition:

First edition.

Place of Publication:

Kidlington, Oxford : Academic Press, 2013.

Summary:

Fundamentals of Magnetism is a truly unique reference text that explores the study of magnetism 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 book covers the classical areas of basic magnetism, including Landau Theory and magnetic interactions, featuring an 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 the (non-)cooperative phenomena help readers make the transition from theory to 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. A solid introduction to the fundamental workings of magnetic phenomena, Fundamentals of Magnetism, Key Features, Offers accessible and self-contained content without needing to seek other sources on topics like Fermion gas, 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 Magnet Magnetocaloric Effect; and special hints for experimental analysis. Book jacket.

Contents:

Part 1 Background 1

1 Introduction 3

1.1 Quantities and units 3

1.2 Types of magnetic arrangement 8

2 Hamiltonian of an Electron Under an Electromagnetic Field 13

2.1 Classical approach 13

2.2 Quantum-relativistic approach: Dirac equation 17

2.A Maxwell equations and the gauges 22

3 Angular Momenta 25

3.1 Angular momentum algebra 25

3.2 Addition of angular momenta 27

3.3 Magnetic moment 29

3.4 Angular momenta of atoms 31

3.A Hydrogen-like atoms 36

4 Thermodynamics 45

4.1 Thermodynamic laws 45

4.2 Entropy 46

4.3 Thermodynamic potentials 47

4.4 Maxwell relationships 50

4.5 Thermodynamic square 50

4.6 Magnetic specific heat 51

5 Statistical Mechanics 53

5.1 Micro canonical ensemble 54

5.2 Canonical ensemble 55

5.3 Indistinguishable and distinguishable particles 57

5.4 Thermodynamic quantities of N distinguishable particles 58

5.5 Grand canonical ensemble 60

5.6 Grand partition function: further developments 62

6 Fermions Gas 65

6.1 Wave function, eigenvalues, and density of states 65

6.2 Grand canonical potential and thermodynamic quantities 67

6.3 Fermi level and chemical potential 69

6.4 High temperature limit 71

Part 2 Noncooperative Magnetism 73

7 Diamagnetism 75

7.1 Localized diamagnetism 75

7.2 Itinerant diamagnetism 79

7.A Experimental example 89

7.B Landau levels 89

8 Paramagnetism 93

8.1 Localized paramagnetism 93

8.2 Itinerant paramagnetism 110

8.3 van Vleck paramagnetism 116

8.A Perturbation theory 119

8.B Rare-earth paramagnetism: an example 121

Part 3 Cooperative Magnetism 127

9 Magnetic Interactions 129

9.1 Direct exchange 129

9.2 Indirect exchange 135

9.3 Asymmetric: Spin-orbit coupling 140

9.4 Zeeman interaction 141

9.5 The D tensor 143

10 Long-Range Ordering 147

10.1 Ferromagnetism 147

10.2 Antiferromagnetism 157

10.3 Ferrimagnetism 160

10.A Experimental examples 164

10.B Stoner criterion for some metals 165

10.C Magnetocaloric Effect 166

10.D Undesired temperature independent susceptibility 172

11 Landau Theory 177

11.1 Fundamentals 177

11.2 Second-order phase transition 177

11.3 First-order phase transition 185

12 Molecular Magnetism 193

12.1 Zero-dimensional magnets 193

12.2 One-dimensional magnets 207

12.3 Single-molecule magnets 217

12.A Ising model: analytic solution 220

12.B Addition of N spins 223

Part 4 Appendices 225.

Notes:

Includes bibliographical references and index.

ISBN:

0124055451

9780124055452

OCLC:

828332505

Publisher Number:

99954990500