| Diffusion in Condensed Matter |
| >>Note: This comprehensive, handbook-style survey of diffusion in condensed matter gives detailed insight into diffusion as the process of particle transport due to stochastic movement. It is understood and presented as a phenomenon of crucial relevance for a large variety of processes and materials. In this book, all aspects of the theoretical fundamentals, experimental techniques, highlights of current developments and results for solids, liquids and interfaces are presented. |
| | Diffusion: Introduction and Case Studies in Metals and Binary Alloys |
| | The Elementary Diffusion Step in Metals Studied by the Interference of Gamma-Rays, X-Rays and Neutrons |
| | Diffusion Studies of Solids by Quasielastic Neutron Scattering |
| | Diffusion in Semiconductors |
| | Diffusion in Metallic Glasses and Supercooled Melts |
| | Theoretical Concepts and Models |
| | Continuum Description of Diffusion |
| | Fick’s Laws for Anisotropic Media |
| | Fick’s Second Law for Constant Diffusivity |
| | Fick’s Second Law for Concentration-Dependent Diffusivity |
| | The Various Diffusion Coefficients |
| | Tracer Diffusion Coefficients |
| | Chemical Diffusion (or Interdiffusion) Coefficient |
| | Intrinsic Diffusion Coefficients |
| | Dependence of Diffusion on Thermodynamic Variables |
| | Atomistic Description of Diffusion |
| | Einstein-Smoluchowski Relation and Correlation Factor |
| | Atomic Jumps and Diffusion |
| | Interstitial Diffusion in Metals. |
| | ‘Normal’ Interstitial Solutes |
| | Face-Centered Cubic Metals |
| | Body-Centered Cubic Metals |
| | Impurity Diffusion in Metals |
| | ‘Normal’ Impurity Diffusion in fcc Metals |
| | Slow Diffusion of Transition-Metal Solutes in Aluminium |
| | Fast Solute Diffusion in ‘Open’ Metals |
| | Self-Diffusion in Binary Intermetallics |
| | Influence of Order-Disorder Transition |
| | Coupled Diffusion in B2 Intermetallics |
| | Interdiffusion in Substitutional Binary Alloys |
| | Multiphase Diffusion in Binary Systems |
| | Diffusion: Introduction and Case Studies in Metals and Binary Alloys |
| | Diffusion in Condensed Matter |
| | Fluctuations and Growth Phenomena in Surface Diffusion |
| | Grain Boundary Diffusion in Metals |
| | NMR and b-NMR Studies of Diffusion in Interface- Dominated and Disordered Solids |
| | PFG NMR Studies of Anomalous Diffusion |
| | Diffusion Measurements by Ultrasonics |
| | Diffusion of Hydrogen in Single-Crystalline Tantalum |
| | Observation of Diffusion of Heavy Water in Gels and Living Cells by Scanning Acoustic Microscopy with Phase Contrast |
| | Diffusion in Condensed Matter |
| | PFG NMR Studies of Anomalous Diffusion |
| | Anomalous Diffusion due to Internal Confinement |
| | Anomalous Segment Diffusion in Entangled Polymer Melts |
| | Diffusion Under the Influence of Hyperstructures in Polymer Solutions |
| | Diffusion Under the Influence of Hyperstructures in Polymer Melts |
| | Anomalous Diffusion by External Confinement |
| | Restricted Diffusion in Polystyrene Matrices |
| | Diffusion in Porous Polypropylene Membranes |
| | Tracing Surface-to-Volume Ratios |
| | PFG NMR Diffusion Studies in Regular Pore Networks |
| | The Different Regimes of Diffusion Measurement |
| | Intracrystalline Self-Diffusion |
| | Correlated Diffusion Anisotropy |
| | Transport Diffusion Versus Self-Diffusion |
| | Diffusion in Ordered Mesoporous Materials |
| | PFG NMR as a Generalized Scattering Experiment |
| | The Origin of Anomalous Diffusion |
| | Diffusion in Condensed Matter |
| | Diffusive Transport Through Membranes |
| | Lateral Collective Diffusion of Molecules in Membranes |
| | Decay of Density Fluctuations |
| | Relation Between Tracer and Collective Diffusion |
| | Methods to Examine Lateral Collective Diffusion |
| | Lateral Collective Diffusion in Model Membranes |
| | Rotational Diffusion of Single Molecules |
| | Lateral Diffusion of Single Molecules |
| | Lateral Tracer Diffusion Coefficient |
| | Methods to Examine Lateral Tracer Diffusion. |
| | Lateral Diffusion of Lipids and Proteins |
| | Short Overview of Biological Membranes |
| | Diffusion in Condensed Matter |
| | NMR and b-NMR Studies of Diffusion in Interface- Dominated and Disordered Solids |
| | Influence of Diffusion on NMR Spin-Lattice Relaxation and Linewidth |
| | Basics of NMR Relaxation Techniques |
| | Method of b-Radiation Detected NMR Relaxation |
| | Lithium Graphite Intercalation Compounds |
| | Lithium Titanium Disulfide - Hexagonal Versus Cubic |
| | Nanocrystalline Materials |
| | Nanocrystalline Calcium Fluoride |
| | Nanocrystalline, Microcrystalline and Amorphous Lithium Niobate |
| | Nanocrystalline Lithium Titanium Disulfide |
| | Nanocrystalline Composites of Lithium Oxide and Boron Oxide |
| | Inhomogeneous Spin-Lattice Relaxation in Glasses with Different Short-Range Order |
| | Glassy and Crystalline Lithium Aluminosilicates |
| | Diffusion in Condensed Matter |
| | Grain Boundary Diffusion in Metals |
| | Fundamentals of Grain Boundary Diffusion |
| | Basic Equations of Grain Boundary Diffusion |
| | Methods of Profile Analysis |
| | What Do We Know About Grain Boundary Diffusion? |
| | Classification of Diffusion Kinetics |
| | Harrison’s Classification |
| | Grain Boundary Diffusion and Segregation |
| | Determination of the Segregation Factor from Grain Boundary Diffusion Data |
| | Beyond the Linear Segregation. |
| | Diffusion in Condensed Matter |
| | Fluctuations and Growth Phenomena in Surface Diffusion |
| | Non-Equilibrium Experiments |
| | Uniform-Height Pb Islands on Si(111) |
| | Measurements of Interlayer Diffusion on Ag/Ag(111) |
| | Equilibrium Measurements of Surface Diffusion |
| | Equilibrium Diffusion Measurements from Diffraction Intensity Fluctuations |
| | STM Tunneling Current Fluctuations |
| | Surface Diffusion Beyond a Random Walk |
| | The Role of Structure and Geometry of the Substrate |
| | The Role of Adsorbate-Adsorbate Interactions |
| | Diffusion in Equilibrium and Non-Equilibrium Concentration Gradients |
| | Diffusion in Condensed Matter |
| | Theoretical Concepts and Models |
| | Diffusion of Particles on Lattices |
| | Introduction: What a Fractal is |
| | Anomalous Diffusion: Phenomenology |
| | Stochastic Theory of Diffusion on Fractals |
| | Anomalous Diffusion: Dynamical Dimensions |
| | Anomalous Diffusion and Chemical Kinetics |
| | Ionic Transport in Disordered Materials |
| | Concept of Mismatch and Relaxation for Self-Diffusion and Conduction in Ionic Materials with Disordered Structure |
| | Diffusion and Conduction in Percolation Systems |
| | Statistical Theory and Molecular Dynamics of Diffusion in Zeolites |
| | Diffusion in Condensed Matter |
| | Diffusion of Particles on Lattices |
| | Many Particles on Disordered Lattices |
| | Models with Symmetric Rates |
| | Selected Results for the Coefficient of Collective Diffusion in the Random Site-Energy Model |
| | Derivation of the Result for the Diffusion Coefficient for Arbitrarily Disordered Transition Rates |
| | Derivation of the Self-Consistency Condition for the Effective-Medium Approximation |
| | Relation Between the Relative Displacement and the Density Change |
| | Many Particles on Uniform Lattices |
| | Lattice Gas (Site Exclusion) Model |
| | Tracer Diffusion for d > 1 |
| | Tagged-Particle Diffusion on a Linear Chain |
| | One Particle on Disordered Lattices |
| | Exact Expression for the Diffusion Coefficient in d = 1 |
| | Applications of the Exact Result |
| | Frequency Dependence in d = 1: Effective-Medium Approximation |
| | Higher-Dimensional Lattices: Approximations |
| | Higher-Dimensional Lattices: Applications. |
| | One Particle on Uniform Lattices |
| | Solution of the Master Equation |
| | Diffusion in Condensed Matter |
| | Theoretical Concepts and Models |
| | Diffusion and Conduction in Percolation Systems |
| | The (Site-) Percolation Model |
| | The Fractal Structure of Percolation Clusters near pc |
| | Further Percolation Systems |
| | Diffusion on Regular Lattices |
| | Diffusion on Percolation Clusters |
| | Conductivity of Percolation Clusters |
| | Further Electrical Properties |
| | Application of the Percolation Concept: Heterogeneous Ionic Conductors |
| | Interfacial Percolation and the Liang Effect |
| | Composite Micro- and Nanocrystalline Conductors |
| | Diffusion in Condensed Matter |
| | Theoretical Concepts and Models |
| | Ionic Transport in Disordered Materials |
| | Lattice Model of Polymer Electrolytes |
| | Diffusion through a Polymer Network: Dynamic Percolation Approach |
| | Diffusion in Stretched Polymers |
| | Counterion Model and the “Nearly Constant Dielectric Loss” Response |
| | Ion-Conducting Glasses: Models and Numerical Technique |
| | Probability Distribution and Incoherent Neutron Scattering |
| | Diffusion in Condensed Matter |
| | Theoretical Concepts and Models |
| | Statistical Theory and Molecular Dynamics of Diffusion in Zeolites |
| | Some Notions and Relations of Statistical Physics |
| | Statistical Thermodynamics |
| | Statistical Theory of Irreversible Processes |
| | Procedure of an MD Simulation |
| | Simulation of Diffusion in Zeolites |
| | Diffusion in Condensed Matter |
| | Theoretical Concepts and Models |
| | Concept of Mismatch and Relaxation for Self-Diffusion and Conduction in Ionic Materials with Disordered Structure |
| | Conductivity Spectra of Ion Conducting Materials |
| | Relevant Functions and Some Model Concepts for Ion Transport in Disordered Systems |
| | CMR Equations and Model Conductivity Spectra |
| | Scaling Properties of Model Conductivity Spectra |
| | Physical Concept of the CMR |
| | Complete Conductivity Spectra of Solid Ion Conductors |
| | Ion Dynamics in a Fragile Supercooled Melt |
| | Conductivities of Glassy and Crystalline Electrolytes Below 10MHz |
| | Localised Motion at Low Temperatures |
| | Diffusion in Condensed Matter |
| | Theoretical Concepts and Models |
| | Diffusion in Semiconductors |
| | Diffusion Mechanisms and Point Defects in Semiconductors |
| | Interstitial-Substitutional Diffusion: Au, Pt and Zn in Si |
| | Diffusion of Carbon and Other Group IV Elements |
| | Diffusion of Si Self-Interstitials and Vacancies |
| | Oxygen and Hydrogen Diffusion |
| | Diffusion in Gallium Arsenide |
| | Native Point Defects and General Aspects |
| | Gallium Self-Diffusion and Superlattice Disordering |
| | Arsenic Self-Diffusion and Superlattice Disordering |
| | Impurity Diffusion in Gallium Arsenide |
| | Diffusion in Other III-V Compounds |
| | Diffusion in Condensed Matter |
| | Diffusion in Metallic Glasses and Supercooled Melts |
| | Characteristics of Diffusion in Crystals |
| | Diffusion in Simple Liquids |
| | General Aspects of Mass Transport and Relaxation in Supercooled Liquids and Glasses. |
| | Diffusion in Metallic Glasses |
| | Structure and Properties of Metallic Glasses |
| | Possible Diffusion Mechanisms |
| | Effect of Excess Volume on Diffusion |
| | Diffusion in Supercooled and Equilibrium Melts |
| | Diffusion in Condensed Matter |
| | Defect Chemistry of Oxides |
| | Dominating Cation Disorder |
| | Dominating Oxygen Disorder |
| | Self- and Impurity Diffusion in Oxides |
| | Diffusion in Oxides with Dominating Cation Disorder |
| | Diffusion in Oxides with Dominating Oxygen Disorder |
| | Diffusion in Oxides Exposed to External Forces |
| | Diffusion in an Oxygen Potential Gradient |
| | Diffusion in an Electric Potential Gradient |
| | Diffusion in Condensed Matter |
| | Diffusion Studies of Solids by Quasielastic Neutron Scattering |
| | The Dynamic Structure Factor |
| | The Rate Equation and the Self-Correlation Function |
| | High Resolution Neutron Spectroscopy |
| | Hydrogen Diffusion in Metals and in Metallic Alloys |
| | Vacancy Induced Diffusion |
| | Ion Diffusion Related to Ionic Conduction |
| | Proton Diffusion in Solid-State Protonic Conductors |
| | Proton Conduction: Diffusion Mechanism Based on a Chemical Reaction Equilibrium |
| | Two-Dimensional Diffusion |
| | Coherent Quasielastic Scattering |
| | Diffusion in Condensed Matter |
| | Viscoelasticity and Microscopic Motion in Dense Polymer Systems |
| | The Neutron Scattering Method |
| | The Neutron Spin-Echo Technique Versus Conventional Scattering |
| | Neutron Spin Manipulations with Magnetic Fields |
| | Local Chain Dynamics and the Glass Transition |
| | Self-Correlation Function |
| | Entropic Forces - The Rouse Model |
| | Neutron Spin-Echo Results in PDMS Melts |
| | Experimental Observations of Chain Confinement |
| | Intermediate Scale Dynamics |
| | The Crossover from Rouse to Reptation Dynamics |
| | Diffusion in Condensed Matter |
| | Diffusion Measurements in Fluids by Dynamic Light Scattering |
| | Spectrum of Scattered Light |
| | Homodyne and Heterodyne Techniques |
| | The Dynamic Light Scattering Experiment |
| | Signal Statistics and Data Evaluation. |
| | Thermophysical Properties of Fluids Measured by Dynamic Light Scattering |
| | Mutual Diffusion Coefficient |
| | Sound Velocity and Sound Attenuation |
| | Forced Rayleigh Scattering |
| | Diffusion in Condensed Matter |
| | Diffusion in Colloidal and Polymeric Systems |
| | Principles of Quasielastic Light Scattering |
| | The Scattered Electric Field Strength |
| | Dynamic Structure Factors |
| | Heuristic Considerations on Diffusion Processes |
| | Very Dilute Colloidal Systems |
| | Diffusion Mechanisms in Concentrated Colloidal Systems |
| | Fluorescence Techniques for Long-Time Self-Diffusion of Non-Spherical Particles |
| | Fluorescence Recovery After Photobleaching |
| | Fluorescence Correlation Spectroscopy |
| | Theoretical and Experimental Results on Diffusion of Colloidal Spheres and Polymers |
| | Polymer Blends and Random Phase Approximation |
| | Diffusion in Condensed Matter |
| | Field-Assisted Diffusion Studied by Electrophoretic NMR |
| | Principles of Electrophoretic NMR. |
| | Pulsed Field Gradient NMR for the Study of Drift Velocities |
| | NMR in Presence of an Electric Direct Current. Technical Requirements, Problems and Solutions |
| | ENMR Experiments (1D, 2D and 3D) and Application Examples |
| | Mobility and Velocity Distributions. Polydispersity and Electro-Osmotic Flow |
| | Diffusion in Condensed Matter |
| | The Elementary Diffusion Step in Metals Studied by the Interference of Gamma-Rays, X-Rays and Neutrons |
| | Self-Correlation Function and Quasielastic Methods |
| | Quasielastic Methods: M.o.bauer Spectroscopy and Neutron Scattering |
| | Nuclear Resonant Scattering of Synchrotron Radiation |
| | Neutron Spin-Echo Spectroscopy |
| | Pure Metals and Dilute Alloys |
| | Diffusion in Condensed Matter |
| | Viscoelasticity and Microscopic Motion in Dense Polymer Systems |
| | The Molecular Description of Mutual Diffusion Processes in Liquid Mixtures |
| | Phenomenological Description of Mutual Diffusion |
| | Thermodynamics of Mutual Diffusion |
| | Linear Response Theory and Time Correlation Functions |
| | The Time Correlation Function for Mutual Diffusion |
| | Properties of Distinct-Diffusion Coefficients |
| | Information on Intermolecular Interactions Deduced from Diffusion Data |
| | Diffusion Measurements in Fluids by Dynamic Light Scattering |
| | Diffusion in Colloidal and Polymeric Systems |
| | Field-Assisted Diffusion Studied by Electrophoretic NMR |
| | Diffusion in Condensed Matter |
| |