Kinetics in nanoscale materials 2nd Edition by King-Ning Tu, Andriy Gusak ISBN 9781118743157 1118743148

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Product details: 

ISBN 10: 1118743148

ISBN 13: 9781118743157

Author:  King-Ning Tu, Andriy M. Gusak 

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.

Table of contents: 

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 (Cr 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

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King-Ning Tu,Andriy Gusak,nanoscale materials