Kinetics in nanoscale materials

Content: 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 --
Chapter 2. Linear and Non-linear Diffusion --
2.1 Introduction --
2.2 Linear diffusion --
2.3 Non-linear diffusion --
2.3.1 Non-linear effect due to kinetic consideration --
Chapter 3. Kirkendall effect and inverse Kirkendall effect --
3.1 Introduction --
3.2 Kirkendall effect --
3.3 Inverse Kirkendall effect --
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 --
Chapter 5. Spinodal decomposition --
5.1 Introduction --
5.2 Implication of diffusion equation in homogenization and in decomposition --
5.3 Spinodal decompostion --
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 --
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 --
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 --
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 --
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 --
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.