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Slichter Ch.P. — Principles of magnetic resonance. With examples from solid state physics |
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Предметный указатель |
, definition 51
99
center 195
center, electron orbitals 199
center, optical transitions 200
Absorption and dispersion, atomic theory of 40 f.
Absorption of energy, rate of 5 8
Absorption, general expression 42
Adiabatic inversion 22
Adiabatic passage 22
Alternating magnetic fields 18
Anderson, P. W. 43
Andrew, E. R. 59 156
Angular momentum, and choice of gauge 76 (see also Quenching)
Angular momentum, and choice of gauge, commutation relations 17
Angular momentum, and choice of gauge, operator in presence of magnetic field 69
Antiferromagnets, nuclear resonance in 100
Antishielding factor, Sternheimer 176
Asymmetry parameter 171
Average of a function over constant energy surface 95
Bloch equations, derivation 28
Bloch equations, derivation, derived from Redfield theory 149
Bloch equations, derivation, modified for very short correlation, solution for low 29 f.
Bloch equations, derivation, modified for very short correlation, times 157
Bloch functions 92 110
Bloch, F. 8 142
Bloembergen, N. 104 112 142 149
Bohm, D. 90 99
Bose — Einstein statistics 116
Broer, L. J. F. 8
Brooks, H. 99
Canonical momentum 70
Castner, T. G. 195
Charge density, operator for 163
Chemical shift 64
Chemical shift of benzene 82
Chemical shift of N electrons 83 f.
Chemical shift of s-states 76
Chemical shift, contribution of closed shells 82
Chemical shift, diamagnetic 80
Chemical shift, experimental facts 65
Chemical shift, field 72
Chemical shift, formal theory 69 f.
Chemical shift, of p-states 77
Chemical shift, paramagnetic 80
Chemical shift, role of electron spin in 113
Chemical shift, role of spin-orbit coupling in 114
Clebsch — Gordan coefficients 164
Clebsch — Gordan coefficients, definition 164
Clebsch — Gordan coefficients, recursion relations 167
Clebsch — Gordan coefficients, triangle rule 164
Cobalt, nuclear resonance in 101
Collision broadening 154
Core polarization 101
Correlation function 137 227
Correlation function, , definition 146
Correlation function, derivation of 230
Correlation time, 137 140
Crystalline fields 179
Crystalline potential, calculation of matrix, elements of 186 f.
Curie’s law, derivation of 132
Current density, computation of 72 f.
Current density, computation of, definition 70
Current density, computation of, diamagnetic 78
Current density, computation of, paramagnetic 78
Delbecq, C. J. 196
Delta function, integral representation 35
Density matrix 115 127
Density matrix of system in thermal equilibrium 132
Density matrix with applied alternating fields 156 f.
Density matrix with applied alternating fields, an example 158
Density matrix with time-dependent perturbation 133 f. 134
Density matrix, definition 129
Density matrix, differential equation for time variation of 130
Density matrix, Redfield equations for 142
Detailed balance, principle of 120
Dipolar energy 46
Dirac equation 87
Dispersion, atomic theories of 40
Dispersion, general expression 43
Eades, R. G. 59 156
Effective Hamiltonian 182
Effective magnetic field 19 27 184
effective mass 110
Electric field gradient (see Field gradient)
Electron spin 84
Electron spin resonance 177 f.
Electron spin resonance, substances exhibiting 178
Electron spin, function interaction with nuclei 87
Electron spin, Coupling with nuclei for s-states 85
Electron spin, role in chemical shift 85
Equation of continuity 70
Exchange broadening 112
Exchange narrowing 112
expectation value 12
Expectation value of magnetic moment 15
Expectation value, equations of motion of 1
Exponential operators 23 f. 225
Exponential operators to solve Schroedinger’s equation 24
Exponential operators, definition 23
Exponential operators, products of 24
Fermi function 93 109
Fermi function, derivative of 123
Fermi — Dirac statistics 116
ferromagnets 65
Ferromagnets, nuclear resonance in 100
Field gradient, q 171
Field gradient, q, calculation of 174
Field gradient, q, vanishing for cubic symmetry 162
Foucault pendulum 80
Free induction decay 21
Freeman, A. 101
Froehlich, F. 104 112
g-factor 184
g-factor for system with several electrons 199 208
g-factor for system with two force centers 199
g-factor in center 198 199
g-factor, effective Hamiltonian 202
g-factor, first order contribution to 203
g-factor, formula for problem of two force centers 204
g-factor, Lande 187 7
g-factor, natural gauge for molecular systems 203
g-factor, role of parity in 203
g-factor, shift 184
g-factor, sign of 184 214
Gauge invariance 69 72
Gauge invariance of current density 70
Gauge transformation 69
Gauge transformation the “natural” gauge 202
Gauge transformation, relation to origin of angular momentum 202
Gorter, C. J. 8 121
Gossard, A. C. 101
Gutowsky, H. S. 44 102 103 112
Gyromagnetic ratio (definition) 2
Hahn, E. L. 102 103
Hansen, W. W. 8
Hebei, L. C. 125
Hermitian operator 23
High temperature approximation 43 51 119 235
Holcomb, D, F. 156
Hvperfine interaction, anisotropv effects 194 f.
Hvperfine interaction, anisotropv effects, frequencies of transitions 192
Hvperfine interaction, anisotropv effects, spin Hamiltonian for 191
Hybridized bond 176
Hybridized bond of center 199
Hyperfine structure 189
Hyperfine structure of center 196
Impedance of coil 31
Indirect nuclear coupling 102
Interaction representation 133 157
| Irreducible tensor operators 164
Irreducible tensor operators , comparison of matrix elements 169
Irreducible tensor operators , definition 165
Irreducible tensor operators , recursion relations 166
Kaenzig, W. 195
Kittel, C. 104 112
Kjeldaas, T., Jr 98 99
Knight shift 64 89 104 112 126
Knight shift, experimental facts 89
Knight shift, formula for 97
Kohn, W. 98 99
Korringa relation 126
Korringa, J. 126 127
Kramers degeneracy 174 189
Kramers — Kronig relation 36 98
Kubo, R. 36
Laplace’s equation 161 162
Larmor frequency 12
Lifetime broadening 155
London, F. 81
Lorentz local field 100
Lorentzian line 32
Magnetic field at a nucleus 66
Magnetic moment of electrons 72 80
Marshall, W. 101
Maser 5
Master equation, definition of 119
Matrix elements, of many electron product, functions 107
Maxwell — Boltzmann statistics 116
Maxwell, D. E. 102 103
McCall, D. W. 102 103
Microwave spectroscopy 1
Moments 50
Moments, defined 51
Moments, contribution of like spins to second 58
Moments, contribution of unlike spins to second 58
Moments, effect of rotation on second 62
Moments, example of benzene 59
Moments, first calculated 54
Moments, formula for 229
Moments, formula for 228
Moments, second calculated 56
Motional narrowing 115 154
Motional narrowing, condition for existence of 155
Nabarro, F. R. N. 104 112
Norberg, R, E. 156
Orbital angular momentum (see Quenching Gauge
Packard, M. 8
Pake, G. E. 44
Partition function 116
Pauling, L. 92
Permutation operator 92
Perturbation of energy by magnetic field 71
Perturbation theory, a theorem 231
Pines, D. 90 99 126 127
Poisson’s equation 102
Poisson’s equation, quadrupole energy including effect of 1
Pople, J. A. 81
Portis, A. M. 101
Pound, R. V. 8 142 149
Power absorbed, relation to 32 (see also Absorption)
Pseudo-dipolar coupling 112
Pseudo-exchange coupling 112
PuLSE 90
Purcell, E. M. 8 103 142 149 161
Quadrupole effects 160
Quadrupole energy, classical formula 162
Quadrupole Hamiltonian, general formula for 163
Quadrupole Hamiltonian, general formula in terms of spin operators 170 171
Quadrupole interaction, in strong magnetic in weak magnetic field 173
Quadrupole interaction, in strong magnetic, field 172
Quadrupole moment, classical components 162
Quadrupole moment, classical components, definition of Q 170
Quadrupole moment, classical components, general operator for 163
Quadrupole moment, classical components, matrix elements of 163 170
Quenching of orbital angular momentum 65 74 178 181 190 196
Radio frequency spectroscopy 1
Raising and lowering operators 13 47 164
Ramsey, N. F. 69 84 103 161
Random phases 131
Redfield equations, conditions for validity 143
Redfield equations, conditions for validity an example 148
Redfield equations, conditions for validity for density matrix 142
Redfield equations, conditions for validity, derivation of 144
Redfield equations, conditions for validity, method of including lattice temperature 147
Redfield, A. G. 142
Rose, M. E. 165
Rotating coordinate system, classical 11
Rotating coordinate transformation 157
Rotating magnetic field 18 f.
Rotating magnetic field, quantum mechanical treatment 26 f.
Rotation operator 25
Rowland, T. J. 104 112
Ruder man, M. A. 104 112
Ryter, Ch 97
Sampson, H. B. 99
Saturation 8
Schumacher, R. T. 97 98 99
Seitz, F. 99
Seymour, E. F. W. 156
Slichter, C. P. 97 125
Smaller, B. 196
Smith, J. H. 161
Spectral density 138
Spectral density, function , definition 146
Spectral density, function , defined 146
Spin hamiltonian 183 187 189
Spin temperature 115
Spin temperature, mechanism of establishment 117
Spin temperature, relaxation of a system described by a 116
Spin-lattice relaxation 4 7 115
Spin-lattice relaxation, calculation for metal 121
Spin-lattice relaxation, field 141
Spin-lattice relaxation, formula for metal 126
Spin-lattice relaxation, minimum value 142
Spin-lattice relaxation, time, spin temperature formula for 120
Spin-orbit coupling 178 179
Spin-orbit coupling in presence of magnetic field 201
Spin-orbit coupling, matrix elements for two force center problem 206
Spin-orbit coupling, stronger than crystalline fields 185
Spin-orbit coupling, typical values 180
Spokas, J. 156
Stationary random function 137
Sternheimer, R. M. 176
Susceptibility, complex 31
Susceptibility, complex of electron spins 94
Susceptibility, complex of electron spins, experimental and theoretical values 99
Susceptibility, complex, expressions for complex 226
Susceptibility, complex, orbital electrons 81
Susceptibility, complex, relation to transient response 35
Susceptibility, complex, tensor 33
Thermal reservoir 6
Tomita, K. 36
Torrey, H. C. 8
Trace, definition 52
Transient response of magnetization 33
Transition probability, for short correlation by density matrix method 135
Transition probability, for short correlation time 140
Transverse relaxation , derived by random walk model 154
Triangle rule 189
Van Vleck, J. H. 13 104
Vector potential 69
Wangsness, R. F. 142
Watson, R. 101
Wigner — Eckart theorem 164 167 187 189
Wigner — Eckart theorem, applied to linear combinations of 169
Wigner — Eckart theorem, stated 164
Wigner, E. 99
Wilson, E. B., Jr 92
Yosida, K. 104 113
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