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
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
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
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
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
……
PartⅡ Experimental Methods
PartⅢ Diffusion in Metallic Materials
PartⅣ Diffusion in Semiconductors
PartⅤ Diffusion and Conduction in Ionic Materials
PartⅥ Diffusion in Glasses
PartⅦ Diffusion along High-Diffusivity Paths and in Nanomaterials
Index
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