《THEORY OF SPIN RELAXATION》

Ⅰ.Spin Relaxation Phenomena1

Ⅰ.1.Introduction1

Ⅰ.2.The Hamiltonian7

Ⅰ.3.The Susceptibility and the Relaxation Function13

Ⅰ.4.Spin-Spin Relaxation and the Adiabatic and Isolated Susceptibilities22

Ⅰ.4.A.The Equality of χs and χis31

Ⅰ.4.B.The Susceptibility for Intermediate Frequencies45

Ⅱ.Theory of Spin-Spin Relaxation51

Ⅱ.1.Introduction51

Ⅱ.2.Systems without Crystal Field Splittings55

Ⅱ.2.A.The Relaxation Function56

Ⅱ.2.B.Reduction of the Ωι(t)62

Ⅱ.2.C.Determination of the Relaxation Time γ for Simple Systems68

Ⅱ.2.D.Relaxation for Systems with Different Groups of Ions75

Ⅱ.2.E.Example of the Numerical Computation of a Spin-spin Relaxation Time for a Simple System81

Ⅱ.2.F.Other Theories on Spin-spin Relaxation89

Ⅱ.3.Systems with Crystal Field Splittings96

Ⅱ.3.A.The Spin Hamiltonian98

Ⅱ.3.B.The Relaxation Function and the Determination of the Relaxation Time100

Ⅱ.3.C.Relaxation for Systems with Different Groups of Ions109

Ⅱ.3.D.Simple Illustration of the Theory111

Ⅲ.Short Survey of the Theory of Spin-Lattice Relaxation117

Appendix Ⅰ.The Relation Between x(ω)and ？(t)134

Appendix Ⅱ.The Diagonal Elements of the Magnetic Moment136

Appendix Ⅲ.Irreducible Tensor Operators137

Appendix Ⅳ.The Number of Independent Hermitian Operators for a Spin Moment S143

Appendix Ⅴ.Classification of Two-Spin Interaction Terms According to Their Selection Rules for the Crystal Field Energy146

Appendix Ⅵ.Determination of the Operators Mz(0)and ？(0)149

References151

List of Symbols154

Author Index157

Subject Index159