Optical Spectroscopy of Lanthanides: Magnetic and Hyperfine Interactions, 1st Edition (Hardback) book cover

Optical Spectroscopy of Lanthanides

Magnetic and Hyperfine Interactions, 1st Edition

By Brian G. Wybourne, Lidia Smentek

CRC Press

352 pages | 28 B/W Illus.

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pub: 2007-04-25
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Description

Optical Spectroscopy of Lanthanides: Magnetic and Hyperfine Interactions represents the sixth and final book by the late Brian Wybourne, an accomplished pioneer in the spectroscopy of rare earth ions, and Lidia Smentek, a leading theoretical physicist in the field. The book provides a definitive and up-to-date theoretical description of spectroscopic properties of lanthanides doped in various materials.

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 ff 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.

Reviews

". . . the authors have managed to make a complicated subject accessible to its target audience . . . To the best of my knowledge there is not a comparable book on this subject, and the text provides references to the primary literature if required."

– Robert Baker, School of Science & Technology, Nottingham Trent University, in Reviews, June 2008, Vol. 9, No. 16, Issue 1

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

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

Subject Categories

BISAC Subject Codes/Headings:
SCI013000
SCIENCE / Chemistry / General
SCI013030
SCIENCE / Chemistry / Inorganic
SCI013050
SCIENCE / Chemistry / Physical & Theoretical
SCI013060
SCIENCE / Chemistry / Industrial & Technical