Optical spectroscopy of lanthanides : magnetic and hyperfine interactions /
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| Author / Creator: | Wybourne, Brian G. |
|---|---|
| Imprint: | Boca Raton : CRC Press, c2007. |
| Description: | 333 p. : ill. ; 25 cm. |
| Language: | English |
| Subject: | |
| Format: | Print Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/6421544 |
Table of Contents:
- Basic Facts of Nuclei
- Nucleons
- The Isotropic Harmonic Oscillator
- Magic Nuclei Numbers
- Nuclear Pairing Interactions
- Nuclear Spin of Nuclei Ground States
- Notes on the Quantum Theory of Angular Momentum
- Coupling and Uncoupling of Angular Momenta
- The 3j-Symbols
- The 6j-Symbols
- The 9j-Symbols
- Tensor Operators
- The Wigner-Eckart Theorem for SO(3)
- Coupled Tensor Operators
- Some Special 3nj-Symbols
- The Zeeman Effect: Weak-Field Case
- Exercises
- Interactions in one- and Two-Electron Systems
- States of Two-Electron Systems
- The Central Field Approximation
- Coulomb Interaction in Two-Electron Systems
- Coulomb Matrix Elements for the f 2 Electron Configuration
- The Spin-Orbit Interaction
- Spin-Orbit Matrices for f 2
- Intermediate Coupling
- Exercises
- Coupling Schemes of Angular Momenta
- Notes on jj-coupling
- J 1 j-coupling
- NdI and NdII Energy Levels and j 1 j-Coupling
- J 1 j-coupling in GdIII Levels of 4 f 7 ( 8 S 7/ 2 )6p
- J 1 l-coupling
- Exercises
- Fine and Magnetic Hyperfine Structure
- Intermediate Coupling, g-Factors, and g-Sum Rule
- Fine Structure in Alkali Atoms and Zeeman Effect
- Introductory Remarks on Magnetic Hyperfine Structure
- Magnetic Hyperfine Structure
- Exercises
- Magnetic Dipole and Electric Quadrupole Hyperfine Structures
- Magnetic Hyperfine Structure in the JM J IM I Basis
- Zeeman Effect in the JIFMF and JM J IM I M F Bases
- Example of a J = 1/2 Electronic Level
- Example of
- Electric Quadrupole Hyperfine Structure
- Exercises
- Intensities of Electronic Transitions
- Electric Dipole Transitions in Atoms
- Ratio of the Line Strengths for the D Lines of Alkali Atoms
- Line Strengths for Many-Electron Atoms
- Relative Line Strengths in LS-coupling
- Relative Line Strengths for Hyperfine Levels
- Relative Line Strengths for the D2 Transitions of
- Effective Operators and Perturbation Theory
- The Quadratic Stark Effect in Atoms
- Example of
- Hyperfine Interactions and Laser Cooling
- Motion and Temperature
- Some Basic Quantum Results
- Absorption and Emission of Photons
- Laser Cooling
- Magneto-Optical Traps
- Ions in Crystals
- Crystal Field Splittings
- Data on the Finite Groups O ∼ S 4 and C 3v ∼ S 3
- Data on the Finite Groups for Ho 3+ Ions in LiY F 4 Crystals
- The Crystal Field Expansion
- Point Group Symmetry Restrictions
- An Octahedral Crystal Field
- Identification of the Octahedral States for 3 F 3
- Influence of the Trigonal C 3v Crystal Field
- Some Aspects of Crystal Field Theory
- Selection Rules for Transitions in Ions in a Crystal Field of S 4 Point Symmetry
- Crystal Field Quantum Numbers
- Intensities of Transitions and Effective Operators for Ions in Crystals
- A Simplified Crystal Field Calculation
- The MAPLE Program
- Hyperfine Interactions in Crystals: Pr 3+ IN OCTAHEDRAL FIELD
- Matrix Elements of Magnetic Dipole Hyperfine Interactions
- An Octahedral Crystal Field
- Octahedral Magnetic Hyperfine Matrix Elements
- Magnetic Interactions in F-Electron Systems
- The f N Electron Configurations
- Calculation of the Free Ion Energy Levels of Sm I
- The Zeeman Effect in Sm I (Without Nuclear Spin Effects)
- The Zeeman Effect in Sm I, Including Nuclear Spin
- Some MAPLE Zeeman Effect Programs
- Zeeman Matrices in a | JM J IM I M F Basis
- Magnetic Hyperfine Interactions in Lanthanides
- Magnetic Hyperfine Matrix Elements in JMJ IMJ Coupling
- Magnetic Hyperfine Matrix Elements for the 7 F J = 0, 1 Levels
- Combined Magnetic and Hyperfine Fields in Sm I
- Combined Magnetic Hyperfine and Crystal Fields
- Other Physical Mechanisms and Higher Order Corrections
- Exercises
- Electric Quadrupole Hyperfine Interactions
- Derivation of a Tensorial Form of H EQ
- Electric Quadrupole Hyperfine Structure in Crystals
- Explicit Calculation of Elliott's Term
- Spin-Orbit Interaction Between 7 F 0 and the Lowest 5 D 0
- The Electric Multipole Coupling Mechanism in Crystals
- Configuration Interaction Mechanisms
- Excitations from the 4f N Shell
- Exercises
- Electric Dipole f↔f Transitions
- Judd-Ofelt Theory of f↔f Intensities
- Double-Perturbation Theory
- Third-Order Effective Operators
- Radial Integrals and Perturbed Function Approach
- Other Contributions
- Relativistic Effects
- Relativistic Crystal Field Theory
- Relativistic f↔f Transitions in Crystal Fields
- Effective Operators of Relativistic f↔f Theory
- Parameterization Schemes of f Spectra
- Magnetic Dipole Transitions in Crystals
- Polarization of Light and Transitions
- Selection Rules for Transitions in Crystals
- The Oscillator Strengths for the 7 F 00 ↔ 7 F 1M Transitions
- Intermediate Coupling and 5 D 1 ↔ 7 F 0 Transitions
- Oscillator Strengths for the 5 D 1 ↔ 7 F 1 Magnetic Dipole Transitions
- J-Mixing and "Intensity Borrowing"
- Perturbation Approach and Higher-Order Contributions
- Exercises
- Hyperfine-Induced Transitions
- The Electron Configurations (2s2p) and (2p 2 ) in N IV Ions
- Nuclear Magnetic Dipole Hyperfine Matrix Elements in (2s2p)
- The Maple™ Procedures Used to Calculate the Hyperfine Matrix Elements
- Hyperfine Induced f↔f Transitions
- Nuclear Magnetic Hyperfine Contributions
- Electric Multipole Hyperfine Contributions
- Summary
- Intrashell Interactions
- Numerical Analysis of Radial Terms
- Approximations
- Functions of the Radial Basis Set
- Perturbed Functions
- Values of Radial Integrals for All Lanthanide Ions
- Luminescence of Lanthanide-Doped Materials
- Experiments
- Electrostatic Model
- Effective Operator Formulation
- Confrontation with Nature: Tissue Selective Lanthanide Chelates
- Index
