This up-to-date review closes an important gap in the literature by providing a comprehensive description of the M?auer effect in lattice dynamics, along with a collection of applications in metals, alloys, amorphous solids, molecular crystals, thin films, and nanocrystals. It is the first to systematically compare M?auer spectroscopy using synchrotron radiation to conventional M?auer spectroscopy, discussing in detail its advantages and capabilities, backed by the latest theoretical developments and experimental examples.Intended as a self-contained volume that may be used as a complete reference or textbook, it adopts new pedagogical approaches with several non-traditional and refreshing theoretical expositions, while all quantitative relations are derived with the necessary details so as to be easily followed by the reader. Two entire chapters are devoted to the study of the dynamics of impurity atoms in solids, while a thorough description of the Mannheim model as a theoretical method is presented and its predictions compared to experimental results.Finally, an in-depth analysis of absorption of M?auer radiation is presented, based on recent research by one of the authors, resulting in an exact expression of fractional absorption, otherwise unavailable in the literature. The whole is supplemented by elaborate appendices containing constants and parameters.

Yi-Long Chen is a full professor and head of the Mössbauer Spectroscopy Laboratory in the Physics Department of Wuhan University in Wuhan, China. He graduated in 1961 from Kharkov National University in Kharkov, Ukraine. His research interests include Mössbauer effect and its applications as well as nuclear electronics. He has authored and co-authored about 30 research papers on Mössbauer spectroscopy in addition to other publications. Professor Chen is a member of the Chinese Physical Society and the National Professional Committee of Mössbauer Spectroscopy.

De-Ping Yang is the department chair and associate professor of physics at the College of the Holy cross in Worcester, Massachusetts. He received his Ph.D. in experimental condensed matter physics from the University of Connecticut in 1988, and joined the Holy Cross faculty in 1994. His research activities are mostly related to hyperfine interactions using nuclear magnetic resonance and Mössbauer spectroscopy in materials ranging from magnetic materials and nonstructured alloys to model membranes for biological systems. Professor Yang also works as an adjunct professor at Northeastern University in Boston and is a member of the American Physical Society and Phi Beta Kappa.

Preface
The Mössbauer Effect
Resonant Scattering of g-Rays
The Mössbauer Effect
Compensation for Recoil Energy
The Discovery of the Mössbauer Effect
The Mössbauer Spectrum
The Measurement of a Mössbauer Spectrum
The Shape and Intensity of a Spectral Line
The Classical Theory
The Quantum Theory
Coherent States of a Harmonic Oscillator
Gamma Radiation from a Bound Nucleus
Mössbauer Effect in a Solid
Average Energy Transferred
References
Hyperfine Interactions
Electric Monopole Interaction
A General Description
The Isomer Shift
Calibration of Isomer Shift
Isomer Shift and Electronic Structure
Electric Quadrupole Interaction
Electric Quadrupole Splitting
The Electric Field Gradient (EFG
Sources of EFG
Temperature Effect on EFG
Intensities of the Spectral Lines
The Sign of EFG
Magnetic Dipole Interaction
Magnetic Splitting
Relative Line Intensities
Effective Magnetic Field 53
Combined Quadrupole and Magnetic Interactions
Polarization of g-Radiation
Polarized Mössbauer Sources
Absorption of Polarized g-Rays
Saturation Effect in the Presence of Hyperfine Splittings
Mössbauer Spectroscopy
References
Experimental Techniques
The Mössbauer Spectrometer
Radiation Sources
The Absorber
Estimation of the Optimal Thickness
Sample Preparation
Detection and Recording Systems
Gas Proportional Counters
NaI(Tl) Scintillation Counters
Semiconductor Detectors
Reduction and Correction of Background Counts
Geometric Conditions
Recording Systems
Velocity Drive System
Velocity Transducer
Waveform Generator
Drive Circuit and Feedback Circuit
Velocity Calibration
Secondary Standard Calibration
Absolute Velocity Calibration
Data Analysis
Fitting Individual Lorentzian Lines
Spectra from Crystalline Samples
Spectra from Amorphous Samples
Full Hamiltonian Site Fitting
Fitting Thick Absorber Spectra
References
The Basics of Lattice Dynamics
Harmonic Vibrations
Adiabatic Approximation
Harmonic Approximation
Force Constants and Their Properties
Normal Coordinates
Lattice Vibrations
Dynamical Matrix
Reciprocal Lattice and the Brillouin Zones
Reciprocal Lattice
Brillouin Zones
The Born-von Karman Boundary Condition
Acoustic and Optical Branches
Longitudinal and Transverse Waves
Models of Interatomic Forces in Solids
Quantization of Vibrations: The Phonons
Frequency Distribution and Thermodynamic Properties
The Lattice Heat Capacity
The Density of States
The Einstein Model
The Debye Model
Moments of Frequency Distribution
The Debye Temperature yD
The Physical Meaning of yD
Comparison of Results from Various Experimental Methods
Localized Vibrations
Experimental Methods for Studying Lattice Dynamics
Neutron Scattering
Theory
Neutron Scattering by a Crystal
X-ray Scattering
First-Principles Lattice Dynamics
Linear Response and Lattice Dynamics
The Density-Functional Theory
Exchange-Correlation Energy and Local-Density Approximation
Plane Waves and Pseudopotentials
Calculation of DOS in Solids
References
Recoilless Fraction and Second-Order Doppler Effect
Mean-Square Displacement hu2i and Mean-Square Velocity hv2i
Temperature Dependence of the Recoilless Fraction f
The Anharmonic Effects
The General Form of the Recoilless Fraction f
Calculating the Recoilless Fraction f Using the Pseudoharmonic Approximation
Low-Temperature Anharmonic Effect
Pressure Dependence of the Recoilless Fraction f
The Goldanskii-Karyagin Effect
Single Crystals
Polycrystals
Second-Order Doppler Shift
Transverse Doppler Effect
The Relation between f and dSOD
Methods for Measuring the Recoilless Fraction f
Absolute Methods
Relative Methods
References
Mössbauer Scattering Methods
The Characteristics and Types of Mössbauer g-ray Scattering
The Main Characteristics
Types of Scattering Processes
Interference and Diffraction
Interference between Nuclear Resonance Scattering and Rayleigh Scattering
Observation of Mössbauer Diffraction
Coherent Elastic Scattering by Bound Nuclei
Nuclear Resonance Scattering Amplitude
Coherent Elastic Nuclear Scattering
Scattering Amplitude
Nuclear Bragg Scattering (NBS
Nuclear Forward Scattering (NFS
Scattering Cross-Sections
Lamb-Mössbauer Factor and Debye-Waller Factor
Rayleigh Scattering of Mössbauer Radiation (RSMR
Basic Properties of RSMR
Separation of Elastic and Inelastic Scatterings
Measuring Dynamic Parameters Using RSMR
The Fixed Temperature Approach
The Variable Temperature Approach
RSMR and Anharmonic Effect
Using Strong Mössbauer Isotope Sources
Using Higher Temperature Measurements
References
Synchrotron Mössbauer Spectroscopy
Synchrotron Radiation and Its Properties
The Angular Distribution of Radiation
The Total Power of Radiation
The Frequency Distribution of Radiation
Polarization
Synchrotron Mössbauer Sources
The meV Bandwidth Sources
The meV Bandwidth Sources
Time Domain Mössbauer Spectroscopy
Nuclear Exciton
Enhancement of Coherent Channel
Speed-Up of Initial Decay
Nuclear Forward Scattering of SR
Dynamical Beat (DB
Quantum Beat (QB
Distinctions between Time Domain and Energy Domain Methods
Measurement of the Lamb-Mössbauer Factor
Phonon Density of States
Inelastic Nuclear Resonant Scattering
Measurement of DOS in Solids
Extraction of Lamb-Mössbauer Factor, SOD Shift, and Force
Synchrotron Methods versus Conventional Methods
References
Mössbauer Impurity Atoms (I
Theory of Substitutional Impurity Atom Vibrations
The General Method
Mass Defect Approximation
Resonance Modes
Localized Modes
The Mannheim Model
Impurity Site Moments
The Einstein Model
The Einstein-Debye Model
The Maradudin-Flinn Model
The Visscher Model
The Mannheim Model
Examples of Mössbauer Studies of 57Fe, 119Sn, and 197Au Impurities
57Fe Impurity Atoms
119Sn Impurity Atoms
197Au Impurity Atoms
Interstitial Impurity Atoms
57Fe Impurities in Au
57Fe Impurities in Diamond
References
Mössbauer Impurity Atoms (II
Metals and Alloys
Metals
Alloys
The b-Ti(Fe) Alloy
CuaZn Alloy (Brass
Amorphous Solids
The Alloy YFe2
The Alloy Fe80B20
Molecular Crystals
The Concept of Effective Vibrating Mass Meff
Vibrational DOS in Molecular Crystals
The Mode Composition Factor e2(l, j
An Example
Low-Dimensional Systems
Thin Films
Nanocrystals
References
Appendices
Fractional Intensity e(v) and Area A(ta)
Eigenstate Calculations in Combined Interactions
Electric Quatrupole Perturbation
The Coefficients ai,mg and bj,me
Force Constant Matrices (F) in fcc and bcc Lattices
Nearest Neighbors Around a Substitutional Impurity
Force Constants for Central Forces
Lattice Green's Function
Definition of Green's Function
The Real and Imaginary Parts of G
Symmetry Properties of the G-Matrices
The Mean Square Displacement hu2(0)i and the Recoilless Fraction f
Relations Between Different Green's Functions Gab(l l0,w
Symmetry Coordinates
Mass Absorption Coefficients
Copyright Acknowledgments
Subject Index
Table of Contents provided by Publisher. All Rights Reserved.

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