Optical Spectroscopy of Lanthanides: Magnetic and Hyperfine Interactions / Edition 1 available in Hardcover, Paperback
Optical Spectroscopy of Lanthanides: Magnetic and Hyperfine Interactions / Edition 1
- ISBN-10:
- 0367389177
- ISBN-13:
- 9780367389178
- Pub. Date:
- 09/05/2019
- Publisher:
- Taylor & Francis
- ISBN-10:
- 0367389177
- ISBN-13:
- 9780367389178
- Pub. Date:
- 09/05/2019
- Publisher:
- Taylor & Francis
Optical Spectroscopy of Lanthanides: Magnetic and Hyperfine Interactions / Edition 1
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$82.99Overview
The book integrates computer-assisted calculations developed since Wybourne’s classic publication on the topic. It contains useful Maple™ routines, discussions, and new aspects of the theory of f-electron systems. Establishing a unified basis for understanding state-of-the-art applications and techniques used in the field, the book reviews fundamentals based on Wybourne’s graduate lectures, which include the theory of nuclei, the theory of angular momentum, Racah algebra, and effective tensor operators. It then describes magnetic and hyperfine interactions and their impact on the energy structure and transition amplitudes of the lanthanide ions. The text culminates with a relativistic description of f↔f electric and magnetic dipole transitions, covering sensitized luminescence and a new parametrization scheme of f-spectra.
Optical Spectroscopy of Lanthanides enables scientists to construct accurate and reliable theoretical models to elucidate lanthanides and their properties. This text is ideal for exploring a range of lanthanide applications including electronic data storage, lasers, superconductors, medicine, nuclear engineering, and nanomaterials.
Product Details
| ISBN-13: | 9780367389178 |
|---|---|
| Publisher: | Taylor & Francis |
| Publication date: | 09/05/2019 |
| Pages: | 356 |
| Product dimensions: | 6.12(w) x 9.19(h) x (d) |
About the Author
Table of Contents
Chapter 1 Basic Facts of Nuclei 1
1.1 Nucleons 1
1.2 The Isotropic Harmonic Oscillator 2
1.3 Magic Nuclei Numbers 3
1.4 Nuclear Pairing Interactions 4
1.4.1 Seniority and Pairing Interactions 4
1.5 Nuclear Spin of Nuclei Ground States 5
1.5.1 Nuclear Spin of H and He Isotopes 6
1.5.2 Silicon Isotopes 6
1.5.3 Rubidium Isotopes 6
References 7
Chapter 2 Notes on the Quantum Theory of Angular Momentum 9
2.1 Coupling and Uncoupling of Angular Momenta 10
2.2 The 3j-Symbols 12
2.3 The 6j-Symbols 13
2.4 The 9j-Symbols 14
2.5 Tensor Operators 14
2.6 The Wigner-Eckart Theorem for SO (3) 15
2.7 Coupled Tensor Operators 17
2.8 Some Special 3nj Symbols 18
2.9 The Zeeman Effect: Weak-Field Case 19
2.10 Exercises 22
References 22
Chapter 3 Interactions in One- and Two-Electron Systems 25
3.1 States of Two-Electron Systems 25
3.2 The Central Field Approximation 26
3.3 Coulomb Interaction in Two-Electron Systems 29
3.4 Coulomb Matrix Elements for the f2 Electron Configuration 32
3.5 The Spin-Orbit Interaction 35
3.6 Spin-Orbit Matrices for f2 36
3.7 Intermediate Coupling 37
3.8 Exercises 38
References 39
Chapter 4 Coupling Schemes of Angular Momenta 41
4.1 Notes on jj coupling 41
4.2 j1 j-coupling 44
4.3 Nd I and Nd II Energy Levels and j1j-coupling 44
4.4 J1j-coupling in Gd III Levels of 4f7(8S7/2)6p 48
4.5 J1l-coupling 50
4.6 Exercises 55
References 56
Chapter 5 Fine and Magnetic Hyperfine Structure 57
5.1 Intermediate Coupling, g factors, and g-sum Rule 57
5.2 Fine Structure in Alkali Atoms and Zeeman Effect 59
5.3 Introductory Remarks on Magnetic Hyperfine Structure 61
5.4 Magnetic Hyperfine Structure 62
5.5 Exercises 64
References 65
Chapter 6 Magnetic Dipole and Electric Quadrupole Hyperfine Structures 67
6.1 Magnetic Hyperfine Structure in the JMJIMI Basis 67
6.2 Zeeman Effect in the JIFMF and JM JIMIMF Bases 68
6.3 Example of a J = 1\2 Electronic Level 70
6.4 Example of 13355CS 72
6.5 Electric Quadrupole Hyperfine Structure 73
6.6 Exercises 76
References 77
Chapter 7 Intensities of Electronic Transitions 79
7.1 Electric Dipole Transitions in Atoms 80
7.2 Ratio of the Line Strengths for the D Lines of Alkali Atoms 81
7.3 Line Strengths for Many-Electron Atoms 82
7.4 Relative Line Strengths in LS coupling 82
7.5 Relative Line Strengths for Hyperfine Levels 83
7.6 Relative Line Strengths for the D2 Transitions of 8737Rb 85
7.7 Effective Operators and Perturbation Theory 85
7.8 The Quadratic Stark Effect in Atoms 88
7.9 Example of 13355CS 90
References 91
Chapter 8 Hyperfine Interactions and Laser Cooling 93
8.1 Motion and Temperature 93
8.2 Some Basic Quantum Results 94
8.3 Absorption and Emission of Photons 95
8.4 Laser Cooling 96
8.5 Magneto-Optical Traps 96
References 97
Chapter 9 Ions in Crystals 99
9.1 Crystal Field Splittings 99
9.2 Data on the Finite Groups O ˜ S4 and C3v ˜ S3 100
9.3 Data on the Finite Groups for Ho3+ Ions in LiYF4 Crystals 101
9.4 The Crystal Field Expansion 105
9.5 Point Group Symmetry Restrictions 107
9.6 An Octahedral Crystal Field 108
9.7 Identification of the Octahedral States for 3F3 110
9.8 Influence of the Trigonal C3v Crystal Field 111
References 111
Chapter 10 Some Aspects of Crystal Field Theory 113
10.1 Selection Rules for Transitions in Ions in a Crystal Field of S4 Point Symmetry 113
10.2 Crystal Field Quantum Numbers 115
10.3 Intensities of Transitions and Effective Operators for Ions in Crystals 116
10.4 A Simplified Crystal Field Calculation 117
10.5 The MAPLE Program 119
References 121
Chapter 11 Hyperfine Interactions in Crystals: Pr3+ in Octahedral Field 123
11.1 Matrix Elements of Magnetic Dipole Hyperfine Interactions 124
11.2 An Octahedral Crystal Field 129
11.3 Octahedral Magnetic Hyperfine Matrix Elements 132
References 137
Chapter 12 Magnetic Interactions in f-Electron Systems 139
12.1 The fN Electron Configurations 140
12.2 Calculation of the Free Ion Energy Levels of Sm I 142
12.3 The Zeeman Effect in Sm I (Without Nuclear Spin Effects) 143
12.4 The Zeeman Effect in Sm I, Including Nuclear Spin 145
12.5 Some MAPLE Zeeman Effect Programs 145
12.6 Zeeman Matrices in a | J MJ IMIMF) Basis 147
References 148
Chapter 13 Magnetic Hyperfine Interactions in Lanthanides 151
13.1 Magnetic Hyperfine Matrix Elements in JMJ IMJ Coupling 151
13.2 Magnetic Hyperfine Matrix Elements for the 7F J = 0, 1 Levels 154
13.3 Combined Magnetic and Hyperfine Fields in Sm I 156
13.4 Combined Magnetic Hyperfine and Crystal Fields 156
13.5 Other Physical Mechanisms and Higher-Order Corrections 164
13.6 Exercises 168
References 168
Chapter 14 Electric Quadrupole Hyperfine Interactions 169
14.1 Derivation of a Tensorial Form of HEQ 172
References 175
Chapter 15 Electric Quadrupole Hyperfine Structure in Crystals 177
15.1 Explicit Calculation of Elliott's Term 179
15.2 Spin-Orbit Interaction Between 7F0 and the Lowest 5D0 181
References 184
Chapter 16 The Electric Multipole Coupling Mechanism in Crystals 185
16.1 Configuration Interaction Mechanisms 186
16.2 Excitations from the 4fN Shell 190
16.3 Exercises 196
References 196
Chapter 17 Electric Dipole f ↔ f Transitions 197
17.1 Judd-Ofelt Theory of f ↔ f Intensities 197
17.2 Double-Perturbation Theory 203
17.3 Third-Order Effective Operators 206
17.4 Radial Integrals and Perturbed Function Approach 209
17.5 Other Contributions 212
References 214
Chapter 18 Relativistic Effects 217
18.1 Relativistic Crystal Field Theory 217
18.2 Relativistic f ↔ f Transitions in Crystal Fields 220
18.3 Effective Operators of Relativistic f ↔ f Theory 222
18.4 Parameterization Schemes of f Spectra 225
References 229
Chapter 19 Magnetic Dipole Transitions in Crystals 231
19.1 Polarization of Light and Transitions 231
19.2 Selection Rules for Transitions in Crystals 232
19.3 The Oscillator Strengths for the 7 F00 ↔ 7F1M Transitions 234
19.4 Intermediate Coupling and 5D1 ↔ 7F0 Transitions 235
19.5 Oscillator Strengths for the 5D1 ↔ 7 F1 Magnetic Dipole Transitions 236
19.6 J Mixing and "Intensity Borrowing" 237
19.7 Perturbation Approach and Higher-Order Contributions 238
19.8 Exercises 244
References 245
Chapter 20 Hyperfine-Induced Transitions 247
20.1 The Electron Configurations (2s2p) and (2s2) in N IV Ions 248
20.2 Nuclear Magnetic Dipole Hyperfine Matrix Elements in (2s2p) 249
20.3 The MAPLE Procedures Used to Calculate the Hyperfine Matrix Elements 252
20.4 Hyperfine Induced f ↔ f Transitions 253
20.5 Nuclear Magnetic Hyperfine Contributions 255
20.6 Electric Multipole Hyperfine Contributions 260
20.7 Summary 264
20.8 Intrashell Interactions 267
References 268
Chapter 21 Numerical Analysis of Radial Terms 271
21.1 Approximations 271
21.2 Functions of the Radial Basis Set 274
21.3 Perturbed Functions 284
21.4 Values of Radial Integrals for All Lanthanide Ions 291
References 296
Chapter 22 Luminescence of Lanthanide-Doped Materials 299
22.1 Experiments 300
22.2 Electrostatic Model 302
22.3 Effective Operator Formulation 303
22.4 Confrontation with Nature: Tissue Selective Lanthanide Chelates 311
References 319
Index 323