1 History and Bibliography of Diffusion 1.1 Pioneers and Landmarks of Diffusion References 1.2 Bibliography of Solid-State Diffusion Part I Fundamentals of Diffusion 2 Continuum Theory of Diffusion 2.1 Fick's Laws in Isotropic Media 2.1.1 Fick's First Law 2.1.2 Equation of Continuity 2.1.3 Fick's Second Law - the 'Diffusion Equation' 2.2 Diffusion Equation in Various Coordinates 2.3 Fick's Laws in Anisotropic Media References 3 Solutions of the Diffusion Equation 3.1 Steady-State Diffusion 3.2 Non-Steady-State Diffusion in one Dimension 3.2.1 Thin-Film Solution 3.2.2 Extended Initial Distribution and Constant Surface Concentration 3.2.3 Method of Laplace Transformation 3.2.4 Diffusion in a Plane Sheet - Separation of Variables 3.2.5 Radial Diffusion in a Cylinder 3.2.6 Radial Diffusion in a Sphere 3.3 Point Source in one, two, and three Dimensions References 4 Random Walk Theory and Atomic Jump Process 4.1 Random Walk and Diffusion 4.1.1 A Simplified Model 4.1.2 Einstein-Smoluchowski Relation 4.1.3 Random Walk on a Lattice 4.1.4 Correlation Factor 4.2 Atomic Jump Process References 6 Point Defects in Crystals 5.1 Pure Metals 5.1.1 Vacancies 5.1.2 Divacancies 5.1.3 Determination of Vacancy Properties 5.1.4 Self-Interstitials 5.2 Substitutional Binary Alloys. 5.2.1 Vacancies in Dilute Alloys 5.2.2 Vacancies in Concentrated Alloys 5.3 Ionic Compounds 5.3.1 Frenkel Disorder 5.3.2 Schottky Disorder 5.4 Intermetallics 5.5 Semiconductors References 6 Diffusion Mechanisms 6.1 Interstitial Mechanism 6.2 Collective Mechanisms 6.3 Vacancy Mechanism 6.4 Divacancy Mechanism 6.5 Interstitialcy Mechanism 6.6 Interstitial-substitutional Exchange Mechanisms References 7 Correlation in Solid-State Diffusion 7.1 Interstitial Mechanism 7.2 Interstitialcy Mechanism 7.3 Vacancy Mechanism of Self-diffusion 7.3.1 A 'Rule of Thumb' 7.3.2 Vacancy-tracer Encounters 7.3.3 Spatial and Temporal Correlation 7.3.4 Calculation of Correlation Factors 7.4 Correlation Factors of Self-diffusion 7.5 Vacancy-mediated Solute Diffusion 7.5.1 Face-Centered Cubic Solvents 7.5.2 Body-Centered Cubic Solvents 7.5.3 Diamond Structure Solvents 7.6 Concluding Remarks References 8 Dependence of Diffusion on Temperature and Pressure 9 Isotope Effect ofDiffusion 10 Interdiffusion and Kirkendall Effect 11 Diffusion and External Driving Forces 12 Irreversible Thermodynamics and Diffusion Part II Experimental Methods 13 Direct Diffusion Studies 14 Mechanical Spectroscopy 15 Nuclear Methods 16 Electrical Methods Part III Difrusion in Metallic Materials 17 Self-diflusion in Metals 18 Difrusion of Interstitial Solutes in Metals 19 Diffusion in Dilute Substitutional Alloys 20 Diffusion in Binary Intermetallics 21 Diffusion in Quasicrystalline Alloys Part IV Diffusion in Semiconductors 22 General Remarks on Semiconductors 23 Self-diflusion in Elemental Semiconductors 24 Foreign-Atom Diffusion in Silicon and Germanium 25 Interstitial-Substitutional Diffusion Part V Diffusion and Conduetion in Ionic Materials 26 Ionic Crystals 27 Fast Ion Conductors Part VI Difrusion in Glasses 28 The Glassy State 29 Diffusion in Metallic Glasses 30 Difrusion and Ionic Conduction in Oxide Glasses Part VII Diffusion along High―Diffusivity Paths and in Nanomaterials 31 High-diffusivity Paths in Metals 32 Grain-Boundary Diffusion 33 Dislocation Pipe Diffusion 34 Diffusion in Nanocrystalline Materials Index
