Cover image for Kinetics in Nanoscale Materials.
Kinetics in Nanoscale Materials.
Title:
Kinetics in Nanoscale Materials.
Author:
Gusak, Andriy M.
ISBN:
9781118742877
Personal Author:
Edition:
2nd ed.
Physical Description:
1 online resource (308 pages)
Contents:
Cover -- Title Page -- Contents -- Preface -- Chapter 1 Introduction to Kinetics in Nanoscale Materials -- 1.1 Introduction -- 1.2 Nanosphere: Surface Energy is Equivalent to Gibbs-Thomson Potential -- 1.3 Nanosphere: Lower Melting Point -- 1.4 Nanosphere: Fewer Homogeneous Nucleation and its Effect on Phase Diagram -- 1.5 Nanosphere: Kirkendall Effect and Instability of Hollow Nanospheres -- 1.6 Nanosphere: Inverse Kirkendall Effect in Hollow Nano Alloy Spheres -- 1.7 Nanosphere: Combining Kirkendall Effect and Inverse Kirkendall Effect on Concentric Bilayer Hollow Nanosphere -- 1.8 Nano Hole: Instability of a Donut-Type Nano Hole in a Membrane -- 1.9 Nanowire: Point Contact Reactions Between Metal and Silicon Nanowires -- 1.10 Nanowire: Nanogap in Silicon Nanowires -- 1.11 Nanowire: Lithiation in Silicon Nanowires -- 1.12 Nanowire: Point Contact Reactions Between Metallic Nanowires -- 1.13 Nano Thin Film: Explosive Reaction in Periodic Multilayered Nano Thin Films -- 1.14 Nano Microstructure in Bulk Samples: Nanotwins -- 1.15 Nano Microstructure on the Surface of a Bulk Sample: Surface Mechanical Attrition Treatment (SMAT) of Steel -- References -- Problems -- Chapter 2 Linear and Nonlinear Diffusion -- 2.1 Introduction -- 2.2 Linear Diffusion -- 2.2.1 Atomic Flux -- 2.2.2 Fick's First Law of Diffusion -- 2.2.3 Chemical Potential -- 2.2.4 Fick's Second Law of Diffusion -- 2.2.5 Flux Divergence -- 2.2.6 Tracer Diffusion -- 2.2.7 Diffusivity -- 2.2.8 Experimental Measurement of the Parameters in Diffusivity -- 2.3 Nonlinear Diffusion -- 2.3.1 Nonlinear Effect due to Kinetic Consideration -- 2.3.2 Nonlinear Effect due to Thermodynamic Consideration -- 2.3.3 Combining Thermodynamic and Kinetic Nonlinear Effects -- References -- Problems.

Chapter 3 Kirkendall Effect and Inverse Kirkendall Effect -- 3.1 Introduction -- 3.2 Kirkendall Effect -- 3.2.1 Darken's Analysis of Kirkendall Shift and Marker Motion -- 3.2.2 Boltzmann and Matano Analysis of Interdiffusion Coefficient -- 3.2.3 Activity and Intrinsic Diffusivity -- 3.2.4 Kirkendall (Frenkel) Voiding Without Lattice Shift -- 3.3 Inverse Kirkendall Effect -- 3.3.1 Physical Meaning of Inverse Kirkendall Effect -- 3.3.2 Inverse Kirkendall Effect on the Instability of an Alloy Nanoshell -- 3.3.3 Inverse Kirkendall Effect on Segregation in a Regular Solution Nanoshell -- 3.4 Interaction Between Kirkendall Effect and Gibbs-Thomson Effect in the Formation of a Spherical Compound Nanoshell -- References -- Problems -- Chapter 4 Ripening Among Nanoprecipitates -- 4.1 Introduction -- 4.2 Ham's Model of Growth of a Spherical Precipitate (C_r is Constant) -- 4.3 Mean-Field Consideration -- 4.4 Gibbs-Thomson Potential -- 4.5 Growth and Dissolution of a Spherical Nanoprecipitate in a Mean Field -- 4.6 LSW Theory of Kinetics of Particle Ripening -- 4.7 Continuity Equation in Size Space -- 4.8 Size Distribution Function in Conservative Ripening -- 4.9 Further Developments of LSW Theory -- References -- Problems -- Chapter 5 Spinodal Decomposition -- 5.1 Introduction -- 5.2 Implication of Diffusion Equation in Homogenization and Decomposition -- 5.3 Spinodal Decomposition -- 5.3.1 Concentration Gradient in an Inhomogeneous Solid Solution -- 5.3.2 Energy of Mixing to Form a Homogeneous Solid Solution -- 5.3.3 Energy of Mixing to Form an Inhomogeneous Solid Solution -- 5.3.4 Chemical Potential in Inhomogeneous Solution -- 5.3.5 Coherent Strain Energy -- 5.3.6 Solution of the Diffusion Equation -- References -- Problems.

Chapter 6 Nucleation Events in Bulk Materials, Thin Films, and Nanowires -- 6.1 Introduction -- 6.2 Thermodynamics and Kinetics of Nucleation -- 6.2.1 Thermodynamics of Nucleation -- 6.2.2 Kinetics of Nucleation -- 6.3 Heterogeneous Nucleation in Grain Boundaries of Bulk Materials -- 6.3.1 Morphology of Grain Boundary Precipitates -- 6.3.2 Introducing an Epitaxial Interface to Heterogeneous Nucleation -- 6.3.3 Replacive Mechanism of a Grain Boundary -- 6.4 No Homogeneous Nucleation in Epitaxial Growth of Si Thin Film on Si Wafer -- 6.5 Repeating Homogeneous Nucleation of Silicide in Nanowires of Si -- 6.5.1 Point Contact Reactions in Nanowires -- 6.5.2 Homogeneous Nucleation of Epitaxial Silicide in Nanowires of Si -- References -- Problems -- Chapter 7 Contact Reactions On Si -- Plane, Line, and Point Contact Reactions -- 7.1 Introduction -- 7.2 Bulk Cases -- 7.2.1 Kidson's Analysis of Diffusion-Controlled Planar Growth -- 7.2.2 Steady State Approximation in Layered Growth of Multiple Phases -- 7.2.3 Marker Analysis -- 7.2.4 Interdiffusion Coefficient in Intermetallic Compound -- 7.2.5 Wagner Diffusivity -- 7.3 Thin Film Cases -- 7.3.1 Diffusion-Controlled and Interfacial-Reaction-Controlled Growth -- 7.3.2 Kinetics of Interfacial-Reaction-Controlled Growth -- 7.3.3 Kinetics of Competitive Growth of Two-Layered Phases -- 7.3.4 First Phase in Silicide Formation -- 7.4 Nanowire Cases -- 7.4.1 Point Contact Reactions -- 7.4.2 Line Contact Reactions -- 7.4.3 Planar Contact Reactions -- References -- Problems -- Chapter 8 Grain Growth in Micro and Nanoscale -- 8.1 Introduction -- 8.2 How to Generate a Polycrystalline Microstructure -- 8.3 Computer Simulation of Grain Growth -- 8.3.1 Atomistic Simulation Based on Monte Carlo Method -- 8.3.2 Phenomenological Simulations.

8.4 Statistical Distribution Functions of Grain Size -- 8.5 Deterministic (Dynamic) Approach to Grain Growth -- 8.6 Coupling Between Grain Growth of a Central Grain and the Rest of Grains -- 8.7 Decoupling the Grain Growth of a Central Grain from the Rest of Grains in the Normalized Size Space -- 8.8 Grain Growth in 2D Case in the Normalized Size Space -- 8.9 Grain Rotation -- 8.9.1 Grain Rotation in Anisotropic Thin Films Under Electromigration -- References -- Problems -- Chapter 9 Self-Sustained Reactions in Nanoscale Multilayered Thin Films -- 9.1 Introduction -- 9.2 The Selection of a Pair of Metallic Thin Films for SHS -- 9.3 A Simple Model of Single-Phase Growth in Self-Sustained Reaction -- 9.4 A Simple Estimate of Flame Velocity in Steady State Heat Transfer -- 9.5 Comparison in Phase Formation by Annealing and by Explosive Reaction in Al/Ni -- 9.6 Self-Explosive Silicidation Reactions -- References -- Problems -- Chapter 10 Formation and Transformations of Nanotwins in Copper -- 10.1 Introduction -- 10.2 Formation of Nanotwins in Cu -- 10.2.1 First Principle Calculation of Energy of Formation of Nanotwins -- 10.2.2 In Situ Measurement of Stress Evolution for Nanotwin Formation During Pulse Electrodeposition of Cu -- 10.2.3 Formation of Nanotwin Cu in Through-Silicon Vias -- 10.3 Formation and Transformation of Oriented Nanotwins in Cu -- 10.3.1 Formation of Oriented Nanotwins in Cu -- 10.3.2 Unidirectional Growth of Cu-Sn Intermetallic Compound on Oriented and Nanotwinned Cu -- 10.3.3 Transformation of Oriented and Nanotwinned Cu to Oriented Single Crystal of Cu -- 10.4 Potential Applications of Nanotwinned Cu -- 10.4.1 To Reduce Electromigration in Interconnect Technology -- 10.4.2 To Eliminate Kirkendall Voids in Microbump Packaging Technology -- References -- Problems.

Appendix A: Laplace Pressure in Nonspherical Nanoparticle -- Appendix B: Interdiffusion Coefficient D=C_BMG'' -- Appendix C: Nonequilibrium Vacancies and Cross-Effects on Interdiffusion in a Pseudo-Ternary Alloy -- Appendix D: Interaction Between Kirkendall Effect and Gibbs-Thomson Effect in the Formation of a Spherical Compound Nanoshell -- Index.
Abstract:
As the ability to produce nanomaterials advances, it becomes more important to understand how the energy of the atoms in these materials is affected by their reduced dimensions. Written by an acclaimed author team, Kinetics in Nanoscale Materials is the first book to discuss simple but effective models of the systems and processes that have recently been discovered. The text, for researchers and graduate students, combines the novelty of nanoscale processes and systems with the transparency of mathematical models and generality of basic ideas relating to nanoscience and nanotechnology.
Local Note:
Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2017. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.
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