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206+Notes+Outline+2008

206+Notes+Outline+2008 - Materials Science and Engineering...

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1 Materials Science and Engineering 206 Spring Quarter 2008 Imperfections in Crystalline Solids Class Notes Instructor: Prof. W. D. Nix Department of Materials Science and Engineering Stanford University Stanford, CA 94305 Room 550H phone: 650-725-2605 e-mail: [email protected] Table of Contents Introduction 4 Stress, Strain and Isotropic Elasticity 15 Stress 15 Strain 20 Elasticity 22 Elastic Strain Energy Density 27 Atomic Point Defects 29 Impurity Atom Defects 29 Substitutional and Interstitial Defects 29
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2 Continuum Model of Displacements 30 Atomic Size Factors 35 Elastic Continuum Model of Point Defects 44 Equilibrium Concentration of Solute Atoms 60 Vacancies 71 Equilibrium Vacancy Concentration in Metals 71 Vacancies and Interstitials in Silicon 81 Point Defects in Strongly Ionic Solids 82 Kinetics and Mechanisms of Vacancies 86 Theoretical Foundations of Diffusional Creep 89 Vacancy Chemical Potential 98 Experimental Techniques for Vacancies 104 Enthalpy of Formation 105 Entropy of Formation 106
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