Learning objectives
The aim is to achieve a good knowledge of polycristal- and single cristal growth techniques
Prerequisites
Basic knowledge of solid state physic.
Course unit content
Elements of phenomenological thermodynamics (equilibrium criteria, equilibrium between phases, phase diagrams, multiple equilibria, estimates of thermodynamic quantities). First order phase transitions.
Elements of fluid dynamics: mass, heat and momentum transport equations; biphasic systems and the general Stefan problem; approximate solutions of the Stefan problem; stagnant boundary layer theory. Coupled fluid dynamics and kinetic aspects in first order phase transition.
Various applications in the technology of crystalline materials. Stability in the growth of monocrystalline interfaces: the constitutional undercooling and outlines of morphological Mullin-Sekerka stability. Compositional stability and concentration profiles of impurities and / or dopants; isotropic and anisotropic segregation at the macro- and microscopic level.
Diffusion in the solid state. Elements of planar technology. Surface energy and its effect on phase equilibria and formation of micro-precipitates (Young-Laplace, Gibbs-Thompson, Ostwald relations). Differential form of the Young-Laplace equation. Outlines of contour stability in the crystallization from the melt. Sintering and outlines of "solid-solid" transitions.
Surfaces and interfaces: a) phenomenological approach to the classification of interfaces. Equilibrium crystalline structures and Wulff theorem; b) atomistic approach to "crystal-fluid" surfaces and interfaces: Jackson and Temkin models (compact [smooth and rough] and diffuse interfaces). Roughening transition and surface melting; crystallographic model for surfaces and interfaces according to Hartman-Perdok. Mechanisms of crystal growth: normal growth (Wilson-Frenkel); lateral growth (BCF) growth by two-dimensional nucleation.
Elements of statistical thermodynamics. Point defects: point disorder in crystals and its stability . Stoichiometry defects in solid crystalline phases. Outline on the incidence of point defects on physical and diffusion properties of impurities in crystalline solids. Crystallographic extended line defects (dislocations), surface and volume defects, their impact on the physical properties. Genesis, reduction and control of extended defects in crystals (hints of structural stability ). Elements of thermoelasticity 'and its role in the genesis of extended defects.
Main techniques of massive crystal growth (molt state, solution and vapor phase techniques ). The concept of epitaxy and epitaxial growth. Overview of the main techniques epitaxial growth (PVD, CVD, MOCVD, MBE).
Full programme
Elements of phenomenological thermodynamics (equilibrium criteria, equilibrium between phases, phase diagrams, multiple equilibria, estimates of thermodynamic quantities). First order phase transitions.
Elements of fluid dynamics: mass, heat and momentum transport equations; biphasic systems and the general Stefan problem; approximate solutions of the Stefan problem; stagnant boundary layer theory. Coupled fluid dynamics and kinetic aspects in first order phase transition.
Various applications in the technology of crystalline materials. Stability in the growth of monocrystalline interfaces: the constitutional undercooling and outlines of morphological Mullin-Sekerka stability. Compositional stability and concentration profiles of impurities and / or dopants; isotropic and anisotropic segregation at the macro- and microscopic level.
Diffusion in the solid state. Elements of planar technology. Surface energy and its effect on phase equilibria and formation of micro-precipitates (Young-Laplace, Gibbs-Thompson, Ostwald relations). Differential form of the Young-Laplace equation. Outlines of contour stability in the crystallization from the melt. Sintering and outlines of "solid-solid" transitions.
Surfaces and interfaces: a) phenomenological approach to the classification of interfaces. Equilibrium crystalline structures and Wulff theorem; b) atomistic approach to "crystal-fluid" surfaces and interfaces: Jackson and Temkin models (compact [smooth and rough] and diffuse interfaces). Roughening transition and surface melting; crystallographic model for surfaces and interfaces according to Hartman-Perdok. Mechanisms of crystal growth: normal growth (Wilson-Frenkel); lateral growth (BCF) growth by two-dimensional nucleation.
Elements of statistical thermodynamics. Point defects: point disorder in crystals and its stability . Stoichiometry defects in solid crystalline phases. Outline on the incidence of point defects on physical and diffusion properties of impurities in crystalline solids. Crystallographic extended line defects (dislocations), surface and volume defects, their impact on the physical properties. Genesis, reduction and control of extended defects in crystals (hints of structural stability ). Elements of thermoelasticity 'and its role in the genesis of extended defects.
Main techniques of massive crystal growth (molt state, solution and vapor phase techniques ). The concept of epitaxy and epitaxial growth. Overview of the main techniques epitaxial growth (PVD, CVD, MOCVD, MBE).
Bibliography
Lecture notes provided by the teacher
Teaching methods
Class lectures
Assessment methods and criteria
Oral examination
Other information
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