扩散在固态物理、化学、物理冶金和材料科学中都扮演着极为重要的角色。扩散过程在高温固体中更是无处不在。材料中扩散的学习对于材料研究和工程是至关重要的。梅尔的《固体中的扩散》首先全面讲述了固体中扩散的核心方面，读者有一定的固态物理知识很有必要。接着详尽地给出了金属、合金、半导体、离子导体材料、玻璃和纳米材料中的扩散的重要内容。并介绍了一些扩散控制现象，如离子导体、晶界、位错管扩散等。读者对象：固态物理、物理合金、材料科学、物理和有机化学、几何物理等专业的研究生，以及物理学家、化学家、冶金学家、材料工程人员。

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