Handbook of solid state diffusion. Volume 1, Diffusion fundamentals and techniques / edited by Aloke Paul and Sergiy Divinski
- Additional Titles:
- Diffusion fundamentals and techniques
- Published:
- Amsterdam, Netherlands : Elsevier, [2017]
- Physical Description:
- 1 online resource : illustrations
- Additional Creators:
- Paul, Aloke and Divinski, S. V. (Sergiy V.)
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- Contents:
- Machine generated contents note: 1.Defects, Driving Forces and Definitions of Diffusion Coefficients in Solids -- 1.1.Defects in Crystalline Solid -- 1.1.1.Zero-Dimensional Point Defects -- 1.1.1.1.Thermal Vacancies in Metallic Systems -- 1.1.1.2.Solutes in Metallic Systems -- 1.1.1.3.Point Defects in Intermetallic Compounds -- 1.1.1.4.Point Defects in Ionic Solids -- 1.1.2.One-Dimensional Line Defects -- 1.1.3.Two-Dimensional Planar Defects -- 1.1.4.Three-Dimensional Volume Defects -- 1.2.Driving Forces for Diffusion -- 1.2.1.Thermodynamic Driving Force -- 1.2.2.Other External Driving Forces -- 1.3.Definitions of Different Types of Diffusions -- References -- 2.Tracer Diffusion and Understanding the Atomic Mechanisms of Diffusion -- 2.1.Introduction -- 2.2.(Radio-)Tracer Method -- 2.2.1.Sample Preparation -- 2.2.2.Tracer Deposition -- 2.2.3.Diffusion Annealing Treatments -- 2.2.4.Sectioning -- 2.2.4.1.Mechanical Grinding -- 2.2.4.2.Sectioning by Microtome -- 2.2.4.3.Ion-Beam Sputtering -- 2.2.4.4.Effect of Sectioning Technique on the Measured Profile -- 2.2.4.5.SIMS Profiling -- 2.2.5.Activity Measurements -- 2.2.6.Profile Processing/Analysis -- 2.2.6.1.Requirements and Benefits of the Thin Layer Conditions -- 2.3.Solute (Impurity) Diffusion -- 2.4.Experimental Determination of the Diffusion Mechanism -- 2.4.1.Activation Volume of Diffusion -- 2.4.2.Isotope Effect -- References -- 3.Estimation of Diffusion Coefficients in Binary and Pseudo-Binary Bulk Diffusion Couples -- 3.1.Fick's Laws of Diffusion -- 3.2.Solutions of Fick's Second Law Considering Constant Diffusion Coefficients -- 3.2.1.Solution for a Thin-Film Condition -- 3.2.2.Error Function Analysis in a Semi-infinite Diffusion Couple -- 3.2.3.Solution for Homogenization (Separation of Variables) -- 3.2.4.Limitations of Analysis Considering Constant Diffusion Coefficient -- 3.3.Matano-Boltzmann Analysis for the Estimation the Variable Interdiffusion Coefficients -- 3.3.1.Derivation of the Relation Given by Matano -- 3.3.2.Limitation of Matano-Boltzmann Analysis -- 3.4.Den Broeder Approach to Determine the Interdiffusion Coefficient -- 3.5.Wagner's Approach for the Calculation of the Interdiffusion Coefficient -- 3.6.Deviation From Ideal Molar Volume and Error in Locating the Initial Contact Plane (or Matano Plane) -- 3.7.Comparison of the Interdiffusion Coefficients Estimated by Different Methods -- 3.8.The Concept of the Integrated Interdiffusion Coefficient for the Phases With Narrow Homogeneity Range -- 3.9.Parabolic Growth Constant -- 3.10.Estimation of the Intrinsic Diffusion Coefficients of Components -- 3.10.1.Heumann's Method for Estimation of the Intrinsic Diffusion Coefficients -- 3.10.2.Van Loo's Relations for the Intrinsic Diffusion Coefficients Developed by Paul Following the Line of Treatment Proposed by Wagner -- 3.10.3.Comparison of the Data Estimated by Different Methods -- 3.11.Identifying the Location of Kirkendall Marker Plane -- 3.12.Multifoil Technique to Estimate the Intrinsic Diffusion Coefficients for Many Compositions From a Single Diffusion Couple -- 3.13.Estimation of the Tracer Diffusion Coefficients Indirectly From Diffusion Couple Experiments -- 3.13.1.Darken's Formulism's Relating the Intrinsic and Interdiffusion Coefficients With the Tracer Diffusion Coefficients -- 3.13.2.Manning's Correction and the Concept of the Vacancy-Wind Effect -- 3.14.Intrinsic and Tracer Diffusion Coefficients in a Phase With Narrow Homogeneity Range -- 3.15.Estimation of the Impurity Diffusion Coefficients -- 3.16.A Pseudo-Binary Approach in Multicomponent Diffusion -- 3.16.1.Application of the Pseudo-Binary Approach in Cu(Sn,Ga) Solid Solution -- 3.16.2.Application of the Pseudo-Binary Approach in β-Ni(Pt)AI Intermetallic Compound -- 3.16.3.Comparison of the Pseudo-Binary Approach With Other Existing Methods -- 3.17.Important Steps for Estimation of the Diffusion Parameters -- 3.18.Analysis of Diffusion Data for Understanding the Role of Thermodynamic Driving Force and Defects -- 3.19.Predicting the Defects Present Based on the Estimated Diffusion Coefficients in Intermetallic Compounds -- 3.20.Physical Significance of the Estimated Diffusion Coefficients -- References -- 4.Diffusion in Multicomponent Alloys -- 4.1.Intrinsic Diffusion in Multicomponent Alloys -- 4.2.Atomic Mobility and Vacancy Wind Effect in Multicomponent Alloys -- 4.3.Interdiffusion in Multicomponent Alloys -- 4.4.Zero Flux Plane (ZFP) -- 4.5.Average Effective and Integrated Diffusion Coefficients in Multicomponent Systems -- 4.6.Average Ternary Interdiffusion Coefficients -- 4.7.A Transfer Matrix Analysis of Multicomponent Diffusion -- 4.7.1.Derivation of Transfer Matrix Methodology -- 4.7.2.Application to Ternary Diffusion -- 4.7.3.Application to Quaternary Diffusion -- 4.8.Estimation of Tracer Diffusion Coefficients in a Ternary System -- 4.9.Determination of Equilibrium Phase Diagram -- 4.10.Examples of Multicomponent Diffusion -- 4.10.1.Diffusion in High Entropy Alloys -- 4.10.2.Diffusion in Amorphous Alloys -- References -- 5.Point Defects and Diffusion in Semiconductors -- 5.1.Introduction -- 5.2.Point Defect Fundamentals in Semiconductors -- 5.2.1.Point Defects in Si and Ge -- 5.2.2.Point Defects in GaAs -- 5.2.3.Charged Point Defects -- 5.3.Diffusion Mechanism Basics in Semiconductors -- 5.3.1.Interstitial Impurity Diffusion -- 5.3.2.The Exchange Mechanism -- 5.3.3.The sV and SI Pairing Mechanisms and Point Defect Percolation Effect -- 5.3.4.The Interstitial--Substitutional Species -- 5.3.5.Diffusion--Segregation -- 5.3.6.Influence of Diffusion Source Conditions on Experiments -- 5.4.Diffusion in Silicon -- 5.4.1.Silicon Self-Diffusion -- 5.4.2.Interstitial--Substitutional Diffusion: Au, Pt, and Zn in Si -- 5.4.3.Dopant Diffusion -- 5.4.3.1.Fermi Level Effect -- 5.4.3.2.High Concentration Dopant-Diffusion-Induced Non-equilibrium Effects -- 5.4.3.3.Influence of Surface Reactions -- 5.4.4.Diffusion of Carbon and Other Group IV Elements -- 5.4.5.Diffusion of Si Self-Interstitials and Vacancies -- 5.4.6.Oxygen and Hydrogen Diffusion -- 5.5.Diffusion in Germanium -- 5.6.Diffusion in Gallium Arsenide -- 5.6.1.Fermi Level Effect and AS4 Pressure Effect -- 5.6.2.Gallium Self-Diffusion and Superlattice Disordering -- 5.6.2.1.Intrinsic and n-Type GaAs -- 5.6.2.2.Intrinsic and p-Type GaAs -- 5.6.3.Arsenic Self-Diffusion and Superlattice Disordering -- 5.6.4.Impurity Diffusion in Gallium Arsenide -- 5.6.4.1.Silicon -- 5.6.4.2.Diffusion of Interstitial-Substitutional Species -- 5.6.5.Diffusion in Other III-V Compounds -- 5.7.Diffusion-Segregation: A Special Subject -- 5.8.Concluding Remarks -- References -- 6.CALPHAD-Type Modeling of Diffusion Kinetics in Multicomponent Alloys -- 6.1.Multicomponent Diffusion Theory -- 6.2.Atomic Mobility and Its Relation With Diffusion Coefficients -- 6.3.Models for Atomic Mobility in Different Phases -- 6.3.1.Simple Phases -- 6.3.2.Phases With Ferromagnetic Ordering -- 6.3.3.Phases With Chemical Ordering -- 6.3.4.Intermetallic Compounds -- 6.3.5.Phases With Polycrystalline Structure -- 6.4.A Simulation Tool for Diffusion-Controlled Transformation - DICTRA -- 6.5.General Strategy for Establishment of Atomic Mobility Database in Multicomponent Alloys -- 6.6.Applications of DICTRA in Different Multicomponent Alloys -- 6.6.1.Al Alloys -- 6.6.2.Cemented Carbides -- 6.6.3.Miscellaneous -- 6.7.Further Extension to Complex Precipitation and Microstructure Simulation -- 6.7.1.Precipitation Simulation -- TC-PRISMA -- 6.7.2.Microstructure Simulation -- Phase-Field Modeling -- References -- 7.Phase-Field Modeling as a Method Relevant for Modeling Phase Transformation During Interdiffusion -- 7.1.Introduction -- 7.2.Phase-Field Models -- 7.2.1.Mesoscopic and Microscopic Formulations -- 7.2.2.Mesoscopic Formulations and Quantitative Simulations -- 7.2.2.1.Kinetic Defects and Thin-Interface Asymptotics -- 7.2.2.2.Equilibrium Defects -- 7.2.2.3.Grand-Potential Formalisms -- 7.3.Phase-Field Model: Relevant to Modeling Phase Transformations in Diffusion Couples -- 7.4.Modeling Kirkendall Effect in a Binary Alloy -- 7.4.1.Kirkendall Effect in a Binary Alloy -- 7.4.2.Same Phase Couples -- 7.4.3.Different Phase Couples -- 7.5.Multicomponent Couples (no Vacancies) -- 7.5.1.Representative Phase-Field Simulation -- 7.6.Incorporating Databases -- 7.7.Conclusions -- References -- 8.Thermodynamic Treatment of Diffusive Phase Transformation (Reactive Diffusion) -- 8.1.Introduction -- 8.2.Formulation of TEP in Discrete Characteristic Parameters -- 8.3.Treatment of Reactive Diffusion in Binary Systems With Multiple Stoichiometric Phases by Adapted Diffusion Equations -- 8.4.Treatment of Reactive Diffusion in Binary Systems With Multiple Stoichiometric Phases by Application of TEP -- 8.5.Formation of Multiple Stoichiometric Phases in Binary Systems by Combined Bulk and Grain Boundary Diffusion - Experiments and Modeling by the TEP -- Acknowledgements -- References -- 9.Monte Carlo Methods in Solid State Diffusion -- 9.1.Introduction -- 9.2.Solid State Diffusion and Kinetic Monte Carlo -- 9.2.1.Tracer Diffusion -- 9.2.2.Collective Diffusion -- 9.2.3.The Jump Frequency -- 9.3.Solid State Diffusion and Lattice Monte Carlo -- 9.3.1.The Effective Diffusion Coefficient -- 9.3.2.Concentration Profiles -- Acknowledgements -- References -- 10.Defects and Diffusion in Ordered Compounds -- 10.1.Introduction -- 10.2.Point Defects in Intermetallic Compounds -- 10.2.1.Concentration of Point Defects -- 10.3.Diffusion Mechanisms in Ordered Intermetallics -- 10.3.1.Next Nearest Neighbor Jumps -- 10.3.2.Six-Jump Cycle Mechanism -- 10.3.3.Sublattice Diffusion Mechanism -- 10.3.4.Triple Defect Diffusion Mechanism -- 10.3.5.Antistructure Bridge Mechanism -- 10.3.6.4-Jump Cycle Mechanism (6-Jump Cycles Assisted by an Antistructure Atom) -- 10.3.7.Divacancy Diffusion Mechanism -- 10.3.8.Calculation of Correlation Factors -- and Contents note continued: 10.3.9.Effective Activation Energy of a Complex Vacancy-Mediated Mechanism -- 10.4.Measurements of Al Diffusion in Aluminides -- 10.5.Diffusion in Ordered Binary Aluminides -- 10.5.1.Diffusion in Ti Aluminides -- 10.5.2.Diffusion in Ni Aluminides -- 10.5.3.Fe--AI System -- 10.5.4.General Trends of Diffusion in Binary Ni, Ti, and Fe Aluminides -- 10.5.5.Effect of Alloying on Diffusion in Ordered Intermetallics -- 10.6.Diffusion in the Ternary System Ni--Fe--AI -- 10.7.General Conclusions -- References.
- Subject(s):
- ISBN:
- 9780128043608 (electronic bk.)
0128043601 (electronic bk.)
9780128042878
0128042877 - Bibliography Note:
- Includes bibliographical references and index.
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