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　　擴散一及二定律及其在各種條件下的解反映瞭原子擴散的宏觀規律，這些規律為解決許多與擴散有關的實際問題奠定瞭基礎。在擴散定律中，擴散係數是衡量原子擴散能力的非常重要的參數，到目前為止它還是一個未知數。為瞭求齣擴散係數，首先要建立擴散係數與擴散的其他宏觀量和微觀量之間的聯係，這是擴散理論的重要內容。事實上，宏觀擴散現象是微觀中大量原子的無規則跳動的統計結果。從原子的微觀跳動齣發，研究擴散的原子理論、擴散的微觀機製以及微觀理論與宏觀現象之間的聯係是本節的主要內容。

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目錄

History and Bibliography of Diffusion1.1 Pioneers and Landmarks of DiffusionReferences1.2 Bibliography of Solid-State DiffusionPart I Fundamentals of DiffusionContinuum Theory of Diffusion2.1 Fick's Laws in Isotropic Media2.1.1 Fick's First Law2.1.2 Equation of Continuity2.1.3 Fick's Second Law - the 'Diffusion Equation'2.2 Diffusion Equation in Various Coordinates2.3 Fick's Laws in Anisotropic MediaReferencesSolutions of the Diffusion Equation3.1 Steady-State Diffusion3.2 Non-Steady-State Diffusion in one Dimension3.2.1 Thin-Film Solution3.2.2 Extended Initial Distributionand Constant Surface Concentration3.2.3 Method of Laplace Transformation3.2.4 Diffusion in a Plane Sheet - Separation of Variables3.2.5 Radial Diffusion in a Cylinder3.2.6 Radial Diffusion in a Sphere3.3 Point Source in one, two, and three DimensionsReferences4 Random Walk Theory and Atomic Jump Process4.1 Random Walk and Diffusion4.1.1 A Simplified Model4.1.2 Einstein-Smoluchowski Relation4.1.3 Random Walk on a Lattice4.1.4 Correlation Factor4.2 Atomic Jump ProcessReferencesPoint Defects in Crystals5.1 Pure Metals5.1.1 Vacancies5.1.2 Divacancies5.1.3 Determination of Vacancy Properties5.1.4 Self-Interstitials5.2 Substitutional Binary Alloys.5.2.1 Vacancies in Dilute Alloys5.2.2 Vacancies in Concentrated Alloys5.3 Ionic Compounds5.3.1 Frenkel Disorder5.3.2 Schottky Disorder5.4 Intermetallics5.5 SemiconductorsReferences6 Diffusion Mechanisms6.1 Interstitial Mechanism6.2 Collective Mechanisms6.3 Vacancy Mechanism6.4 Divacancy Mechanism6.5 Interstitialcy Mechanism6.6 Interstitial-substitutional Exchange MechanismsReferencesCorrelation in Solid-State Diffusion7.1 Interstitial Mechanism7.2 Interstitialcy Mechanism7.3 Vacancy Mechanism of Self-diffusion7.3.1 A 'Rule of Thumb'7.3.2 Vacancy-tracer Encounters7.3.3 Spatial and Temporal Correlation7.3.4 Calculation of Correlation Factors7.4 Correlation Factors of Self-diffusion7.5 Vacancy-mediated Solute Diffusion7.5.1 Face-Centered Cubic Solvents7.5.2 Body-Centered Cubic Solvents7.5.3 Diamond Structure Solvents7.6 Concluding RemarksReferences……PartⅡ Experimental MethodsPartⅢ Diffusion in Metallic MaterialsPartⅣ Diffusion in Semiconductors PartⅤ Diffusion and Conduction in Ionic MaterialsPartⅥ Diffusion in GlassesPartⅦ Diffusion along High-Diffusivity Paths and in NanomaterialsIndex

精彩書摘

　　6.2 Collective Mechanisms　　Solute atoms similar in size to the host atoms usually form substitutionalsolid solutions. The diffusion of substitutional solutes and of solvent atomsthemselves requires a mechanism different from interstitial diffusion. In the1930s it was suggested that self- and substitutional solute diffusion in metalsoccurs by a direct exchange of neighbouring atoms (Fig. 6.3)， in whichtwo atoms move simultaneously. In a close-packed lattice this mechanismrequires large distortions to squeeze the atoms through. This entails a highactivation barrier and makes this process energetically unfavourable. Theoret-ical calculations of the activation enthalpy for self-diffusion of Cu performedby HUNTINGTON ET AL. in the 1940s [1， 2]， which were confirmed later bymore sophisticated theoretical approaches， led to the conclusion that directexchange at least in close-packed structures was not a likely mechanism.　　The so-called ring mechanism of diffusion was proposed for crystallinesolids by the American metallurgist JEFFRIES [3] already in the 1920s andadvocated by ZENER in the 1950s [4]. The ring mechanism corresponds toa rotation of 3 (or more) atoms as a group by one atom distance. The requiredlattice distortions are not as great as in a direct exchange. Ring versions ofatomic exchanges have lower activation energies but increase the amount ofcollective atomic motion， which makes this more complex mechanism unlikelyfor most crystalline substances.　　Direct exchange and ring mechanisms have in common that lattice de-fects are not involved. The observation of the so-called KirkendaU effect inalloys by KIRKENDALL AND COWORKERS [5， 6] during the 1940s had an im-portant impact on the field (see also Chaps. 1 and 10). The Kirkendall effectshowed that the self-diffusivities of atoms in a substitutional binary alloy dif-fuse at different rates. Neither the direct exchange nor the ring mechanismcan explain this observation. As a consequence， the ideas of direct or ringexchanges were abandoned in the diffusion literature.　　……

前言/序言

固體中的擴散 下載 mobi epub pdf txt 電子書

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專業書籍

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內容全麵、經典，值得閱讀

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