Book contents
- Frontmatter
- Contents
- Preface
- List of symbols
- 1 Morphology of a crystal surface
- 2 Surface free energy, step free energy, and chemical potential
- 3 The equilibrium crystal shape
- 4 Growth and dissolution crystal shapes: Frank's model
- 5 Crystal growth: the abc
- 6 Growth and evaporation of a stepped surface
- 7 Diffusion
- 8 Thermal smoothing of a surface
- 9 Silicon and other semiconducting materials
- 10 Growth instabilities of a planar front
- 11 Nucleation and the adatom diffusion length
- 12 Growth roughness at long lengthscales in the linear approximation
- 13 The Kardar-Parisi-Zhang equation
- 14 Growth without evaporation
- 15 Elastic interactions between defects on a crystal surface
- 16 General equations of an elastic solid
- 17 Technology, crystal growth and surface science
- Appendix A From the discrete Gaussian model to the two-dimensional Coulomb gas
- Appendix B The renormalization group applied to the two-dimensional Coulomb gas
- Appendix C Entropic interaction between steps or other linear defects
- Appendix D Wulff's theorem finally proved
- Appendix E Proof of Frank's theorem
- Appendix F Step flow with a Schwoebel effect
- Appendix G Dispersion relations for the fluctuations of a train of steps
- Appendix H Adatom diffusion length ℓs and nucleation
- Appendix I The Edwards-Wilkinson model
- Appendix J Calculation of the coefficients of (13.1) for a stepped surface
- Appendix K Molecular beam epitaxy, the KPZ model, the Edwards-Wilkinson model, and similar models
- Appendix L Renormalization of the KPZ model
- Appendix M Elasticity in a discrete lattice
- Appendix N Linear response of a semi-infinite elastic, homogeneous medium
- Appendix O Elastic dipoles in the z direction
- Appendix P Elastic constants of a cubic crystal
- References
- Index
7 - Diffusion
Published online by Cambridge University Press: 07 May 2010
Book contents
- Frontmatter
- Contents
- Preface
- List of symbols
- 1 Morphology of a crystal surface
- 2 Surface free energy, step free energy, and chemical potential
- 3 The equilibrium crystal shape
- 4 Growth and dissolution crystal shapes: Frank's model
- 5 Crystal growth: the abc
- 6 Growth and evaporation of a stepped surface
- 7 Diffusion
- 8 Thermal smoothing of a surface
- 9 Silicon and other semiconducting materials
- 10 Growth instabilities of a planar front
- 11 Nucleation and the adatom diffusion length
- 12 Growth roughness at long lengthscales in the linear approximation
- 13 The Kardar-Parisi-Zhang equation
- 14 Growth without evaporation
- 15 Elastic interactions between defects on a crystal surface
- 16 General equations of an elastic solid
- 17 Technology, crystal growth and surface science
- Appendix A From the discrete Gaussian model to the two-dimensional Coulomb gas
- Appendix B The renormalization group applied to the two-dimensional Coulomb gas
- Appendix C Entropic interaction between steps or other linear defects
- Appendix D Wulff's theorem finally proved
- Appendix E Proof of Frank's theorem
- Appendix F Step flow with a Schwoebel effect
- Appendix G Dispersion relations for the fluctuations of a train of steps
- Appendix H Adatom diffusion length ℓs and nucleation
- Appendix I The Edwards-Wilkinson model
- Appendix J Calculation of the coefficients of (13.1) for a stepped surface
- Appendix K Molecular beam epitaxy, the KPZ model, the Edwards-Wilkinson model, and similar models
- Appendix L Renormalization of the KPZ model
- Appendix M Elasticity in a discrete lattice
- Appendix N Linear response of a semi-infinite elastic, homogeneous medium
- Appendix O Elastic dipoles in the z direction
- Appendix P Elastic constants of a cubic crystal
- References
- Index
- Type
- Chapter
- Information
- Physics of Crystal Growth , pp. 111 - 129Publisher: Cambridge University PressPrint publication year: 1998