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KING-NING TU, PhD, is Professor in the Department of Materials Science and Engineering at the University of California, Los Angeles. His research focuses on kinetic processes in thin films, metal-silicon interfaces, electromigration, lead-free solder metallurgy, and point contact reactions on silicon nanowires.
ANDRIY M. GUSAK, PhD, is Chair and Professor in the Department of Physics at Cherkasy National University. His research explores nanomaterial science and kinetics of nanoscale systems, with an emphasis on the development of microelectronic materials.
Chapter 1 Introduction to kinetics in nanoscale materials
1.1 Introduction
1.2 Nanosphere: Surface energy equivalent to the Gibbs-Thomson potential
1.3 Nanosphere: Lower melting point
1.4 Nanosphere: Effect on homogeneous nucleation and phase diagram
1.5 Nanosphere: The Kirkendall effect and instability of hollow nanospheres
1.6 Nanosphere: The inverse Kirkendall effect in hollow alloy nanospheres
1.7 Nanosphere: Combining the Kirkendall effect and inverse Kirkendall effect on concentric bi-layer hollow nanospheres
1.8 Nanopore: Instability of a nanodonut hole in a membrane
1.9 Nanowire: Point contact reactions between metal and silicon nanowires
1.10 Nanowire: Nano gap 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 multi-layered nano-thin films
1.14 Nano-microstructure in bulk sample: Nanotwins in Cu
1.15 Nano-microstructure on the surface of a bulk sample: Surface mechanical attrition treatment (SMAT) of steel
References
Problems
Chapter 2 Linear and Non-linear Diffusion
2.1 Introduction
2.2 Linear diffusion
2.3 Non-linear diffusion
2.3.1Non-linear effect due to kinetic consideration
References
Problems
Chapter 3 Kirkendall effect and inverse Kirkendall effect
3.1 Introduction
3.2 Kirkendall effect
3.3 Inverse Kirkendall effect
References
Problems
Chapter 4 Ripening among nano precipitates
4.1 Introduction
4.2 Ham’s model of growth of a large spherical precipitate
4.3 Mean field consideration
4.4 Gibbs-Thomson potential
4.5 Growth and dissolution of a spherical nano precipitate 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
References
Problems
Chapter 5 Spinodal decomposition
5.1 Introduction
5.2 Implication of diffusion equation in homogenization and in decomposition
5.3 Spinodal decompostion
References
Problems
Chapter 6 Nucleation events in bulk materials, thin films, and nano-wires
6.1 Introduction
6.2 Thermodynamics and kinetics of nucleation
6.3 Heterogeneous nucleation in grain boundaries of bulk materials
6.4 No homogeneous nucleation in epitaxial growth of Si thin film on Si wafer
References
Problems
Chapter 7 Contact reactions on Si; plane, line, and point contact reactions
7.1 Introduction
7.2 Bulk cases
7.3 Thin film cases
7.4 Nanowire cases
References
Problems
Chapter 8 Grain growth in micro and nano scale
8.1 Introduction
8.2 Computer simulation to generate a 2D polycrystalline microstructure
8.3 Computer simulation of grain growth
8.4 Statistical distribution functions of grain size
8.5 Deterministic approach to grain growth modeling
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 of nano-grains
References
Problems
Chapter 9 Self-sustained reactions in nanoscale multi-layered thin films
9.1 Introduction
9.2 The selection of a pair of metallic thin films for self-sustained reaction
9.3 A simple model of single-phase growth in self-sustained reaction
9.4 Estimate of flame velocity in steady state heat transfer
9.5 Comparison between reactions by annealing and by explosive reaction in Al/Ni
9.6 Self-explosive silicidation reactions
References
Problems
Chapter 10 Formation and transformations of nano-twins in copper
10.1 Introduction
10.2 Formation of nano-twins in Cu
10.2.1 First principle calculation of energy of formation of nano-twins
10.3 Formation and transformation of oriented nano-twins in Cu
10.4 Potential applications of nano-twinned Cu
References
Problems
Appendix A Laplace pressure of nano-cubic particles
Appendix B Derivation of interdiffusion coefficient as CMG”
Appendix C Non-equilibrium vacancies
Appendix D Interaction between Kirkendall effect and Gibbs-Thomson effect in the formation of a spherical compound nanoshell
Index
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