A Handbook of Magnetochemical Formulae Elsevier Insights

Magnetochemistry is concerned with the study of magnetic properties in materials. It investigates the relationship between the magnetic properties of chemical compounds and their atomic and molecular structure. This rapidly growing field has a number of applications, and the measuring and interpreting of magnetic properties is often conducted by scientists who are not specialists in the field. Magnetochemistry requires complex mathematics and physics and so can be daunting for those who have not previously studied it in depth. Aimed at providing a single source of information on magnetochemistry, this book offers a comprehensive and contemporary review of the mathematical background and formula for predicting or fitting magnetic data, including a summary of the theory behind magnetochemistry to help understand the necessary calculations. Along with tables listing the key formula, there is also a model of the magnetic functions showing the effect of individual magnetic parameters. The clear structure and comprehensive coverage of all aspects of magnetochemistry will make this an essential book for advanced students and practitioners. Provides comprehensive overview of the mathematical background of magnetochemistry Uses clear and accessible language so scientists in a variety of fields can utilize the information Detailed explanations of equations and formula-- Source other than Library of Congress Content: Front Cover A Handbook of Magnetochemical Formulae Copyright Page Contents Preface I. Energy Levels 1 Molecular Symmetry 1.1 Some Definitions 1.1.1 Tensors 1.1.2 Physical Vector (Polar Vector) 1.1.3 Pseudovector (Axial Vector) 1.2 Point Groups 1.2.1 Elementary Terms 1.2.2 Representations 1.2.3 Rotation Group R3 1.2.4 Representation Matrices for a Group 1.3 Double Groups 1.4 Symmetry Descent 1.5 Symmetry Rising 1.6 Labelling the Energy Levels 1.7 Symmetry Group 1.7.1 Symmetry Lowering 1.7.2 Unitary Groups 1.7.3 Group Direct Product 1.7.4 Littlewood's Theorem. 1.7.5 Multi-electron Wave Function2 Coupling Coefficients 2.1 Coupling Coefficients for the Rotational Group 2.1.1 Addition of Angular Momenta 2.1.2 Clebsch -- Gordan Coefficients and 3j-Symbols 2.1.3 The 6j-Symbols 2.1.4 The 9j-Symbols 2.2 Coupling Coefficients for Finite Groups 2.2.1 Strong-Field Coefficients 2.2.2 Weak-Field Coupling Coefficients of König and Kremer 2.2.3 Coupling Coefficients in J-G Scheme 2.2.4 Standardisation of Phases for Strong-Field Coupling Coefficients 2.2.5 The 3G-Symbols 2.2.6 Racah W-Coefficients and 6G-Symbols 2.2.7 Griffith Coupling Coefficients. 3 From Operators to Response Functions3.1 Interactions and Their Description 3.2 Irreducible Tensors and Tensor Operators 3.2.1 Cartesian Tensor 3.2.2 Spherical Tensor 3.2.3 General Tensor 3.2.4 Wigner-Eckart Theorem 3.3 Equivalent Operators 3.4 Thermodynamics of Magnetism 3.4.1 Magnetic Observables 3.4.2 Evaluation of the Magnetic Quantities 3.4.3 Approximate Methods of Quantum Mechanics 3.5 Correction of Magnetic Data 3.5.1 Demagnetisation Correction 3.5.2 Correction for Underlying Diamagnetism 3.5.3 Correction for TIP 3.5.4 Molecular Field Correction. 3.6 Magnetism in Alternating Fields3.6.1 AC Susceptibility 3.6.2 Harmonic Susceptibilities 4 Free-Atom Energy Levels 4.1 Definitions 4.2 Atomic Configurations 4.3 Atomic Terms 4.3.1 General Properties 4.3.2 Coefficients of Fractional Parentage 4.3.3 Matrix Elements 4.3.4 Equivalent f-Electrons 4.4 Atomic Multiplets 4.4.1 Addition of Angular Momenta 4.4.2 Matrix Elements 4.5 The Zeeman Interaction 5 Crystal-Field Theory 5.1 Crystal-Field Potential 5.2 The Method of Operator Equivalent 5.3 Narrow Multiplets 5.4 General CFT for a Single Electron 5.5 General Many-Electron CFT. 5.6 Weak-Field Terms5.7 Weak-Field Multiplets 5.8 Strong-Field Terms and Multiplets 5.9 Interrelations 5.9.1 Crystal-Field Terms 5.9.2 Crystal-Field Multiplets II. Mononuclear Systems 6 Magnetism of Mononuclear Spin Systems 6.1 Overview 6.2 Curie Paramagnets 6.2.1 Occurrence 6.2.2 Hamiltonian and Kets 6.2.3 Derivation 6.2.4 Final Formulae and Modelling 6.2.5 Extensions 6.3 ZFS Systems 6.3.1 Occurrence 6.3.2 Hamiltonian and Kets 6.3.3 Derivations 6.3.4 Axial ZFS 6.3.5 Rhombic ZFS 6.3.6 Final Formulae and Modelling 6.3.7 Powder Average 6.3.8 Generalisation.

Magnetochemistry is concerned with the study of magnetic properties in materials. It investigates the relationship between the magnetic properties of chemical compounds and their atomic and molecular structure. This rapidly growing field has a number of applications, and the measuring and interpreting of magnetic properties is often conducted by scientists who are not specialists in the field. Magnetochemistry requires complex mathematics and physics and so can be daunting for those who have not previously studied it in depth. Aimed at providing a single source of information on magnetochemistry, this book offers a comprehensive and contemporary review of the mathematical background and formula for predicting or fitting magnetic data, including a summary of the theory behind magnetochemistry to help understand the necessary calculations. Along with tables listing the key formula, there is also a model of the magnetic functions showing the effect of individual magnetic parameters. The clear structure and comprehensive coverage of all aspects of magnetochemistry will make this an essential book for advanced students and practitioners.

• Provides comprehensive overview of the mathematical background of magnetochemistry
• Uses clear and accessible language so scientists in a variety of fields can utilize the information
• Detailed explanations of equations and formula

Magnetochemistry is concerned with the study of magnetic properties in materials. It investigates the relationship between the magnetic properties of chemical compounds and their atomic and molecular structure. This book offers comprehensive coverage of various aspects of magnetochemistry.