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Optical Spectroscopy of Lanthanides

Magnetic and Hyperfine Interactions

Optical Spectroscopy of Lanthanides by Brian G. Wybourne
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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
J1j-coupling
NdI and NdII Energy Levels and j1j-Coupling
J1j-coupling in GdIII Levels of 4 f 7 (8 S 7/2 )6p
J1l-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 JMJ IMI Basis
Zeeman Effect in the JIFMF and JMJ IMI MF 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 OS4 and C3vS3
Data on the Finite Groups for Ho3+ Ions in LiY F4 Crystals
The Crystal Field Expansion
Point Group Symmetry Restrictions
An Octahedral Crystal Field
Identification of the Octahedral States for 3 F3
Influence of the Trigonal C3v Crystal Field
SOME ASPECTS OF CRYSTAL FIELD THEORY 
Selection Rules for Transitions in Ions in a Crystal Field of S4 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: Pr3+ 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 | JMJ IMI MF Basis
MAGNETIC HYPERFINE INTERACTIONS IN LANTHANIDES
Magnetic Hyperfine Matrix Elements in JMJ IMJ Coupling
Magnetic Hyperfine Matrix Elements for the 7F 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 HEQ
ELECTRIC QUADRUPOLE HYPERFINE STRUCTURE IN CRYSTALS
Explicit Calculation of Elliott’s Term
Spin-Orbit Interaction Between 7F0 and the Lowest 5D0
THE ELECTRIC MULTIPOLE COUPLING MECHANISM IN CRYSTALS
Configuration Interaction Mechanisms
Excitations from the 4f N Shell
Exercises
ELECTRIC DIPOLE ff TRANSITIONS
Judd-Ofelt Theory of ff Intensities
Double-Perturbation Theory
Third-Order Effective Operators
Radial Integrals and Perturbed Function Approach
Other Contributions 
RELATIVISTIC EFFECTS
Relativistic Crystal Field Theory
Relativistic ff Transitions in Crystal Fields
Effective Operators of Relativistic ff 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 7F007F1M Transitions
Intermediate Coupling and 5D17F0 Transitions
Oscillator Strengths for the 5D17F1 Magnetic Dipole Transitions
J-Mixing and “Intensity Borrowing”
Perturbation Approach and Higher-Order Contributions
Exercises
HYPERFINE-INDUCED TRANSITIONS
The Electron Configurations (2s2p) and (2p2) in N IV Ions
Nuclear Magnetic Dipole Hyperfine Matrix Elements in (2s2p)
The Maple™ Procedures Used to Calculate the Hyperfine Matrix Elements
Hyperfine Induced ff 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
*Each Chapter contains Up-to-date References
CRC Press; April 2007
356 pages; ISBN 9781420006933
Read online, or download in secure PDF format
Title: Optical Spectroscopy of Lanthanides
Author: Brian G. Wybourne; Lidia Smentek
 
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