Lecture slides (PDF) | Videos on YouTube w/ closed caption (CC) | Additional Info |
Lecture 00 Course info | Instructor, textbook, policy, website, and grading | Bk |
Hw1 answers & hints | Course objectives | Bk |
| Thermodynamics quick refresher | Bk |
| Kinetics & phase transformation vs thermodynamics | Bk |
| Example – steel hardness vs cooling rate | Bk |
| Example – B4C morphology vs synthesis condition | Bk |
| Topics covered and schedule | Bk |
| Application examples for kinetics & phase transformation | Bk |
Lecture 01 Diffusion – introduction | Diffusion definition and diffusing species | Bk |
| Different ways to classify diffusion phenomena | Bk |
| Descriptions-applications-characteristics of diffusion | Bk |
| Down-hill diffusion | Bk |
| Up-hill diffusion | Bk |
| Binary phase diagrams with miscibility gap | Bk |
| Additional considerations on down-hill vs up-hill diffusion | Bk |
Lecture 02 Atomistic mechanism of diffusion | Diffusion mechanism: Vacancy vs Interstitial | Bk |
| Atomistic model for interstitial diffusion & Fick’s 1st law | Bk |
| Crystal structure and concentration effects on interstitial diffusion coefficient | Bk |
| C interstitial diffusion in FCC-Fe | Bk |
| Thermal activation of diffusion | Bk |
Lecture 03 Steady-state & non-steady-state diffusion – Fick’s 2nd law | Steady state diffusion and concentration profile | Bk |
| Non-steady state diffusion and Fick’s 2nd Law | Bk |
| Change of concentration profile with time | Bk |
| Diffusion example – Homogenization | Bk |
| Diffusion example – Spin-on dopant | Bk |
| Diffusion example – Infinite diffusion couple | Bk |
| Diffusion example – Carburization and Decarburization | Bk |
| Diffusion length | Bk |
| Random walk and Diffusion length | Bk |
Lecture 04 Self-diffusion & vacancy diffusion | Self diffusion | Bk |
| Self diffusion coefficient and examples | Bk |
| Vacancy diffusion and relationship with self diffusion | Bk |
Lecture 05 Substitutional diffusion in alloys | Kirkendall effect | Bk |
| Atoms asymmetric movement wrt a lattice plane | Bk |
| Darken’s equations and Interdiffusion coefficient | Bk |
| Considerations on interdiffusion coefficient | Bk |
| Mobility and Diffusion coefficient relationship | Bk |
| Thermodynamic factor & relationships between self-intrinsic-inter diffusion coefficients | Bk |
Lecture 06 Determine diffusion coefficient & Matano analysis | Determine D when independent of concentration | Bk |
| Boundary conditions for general isothermal interdiffusion | Bk |
| Boltzmann transformation | Bk |
| Matano analysis for D changing with concentration | Bk |
| Matano interface and its significance | Bk |
Lecture 07 Short-circuit diffusion & reaction diffusion | Grain boundary diffusion | Bk |
| Temperature effect on grain bulk vs grain boundary diffusion | Bk |
| Diffusion along dislocations | Bk |
| Reaction diffusion | Bk |
| Reaction diffusion – Interface velocity | Bk |
| Down-hill diffusion in a single-phase region | Bk |
| Down-hill diffusion involving a two-phase region | Bk |
Lecture 08 Diffusion – other problems | Expectations about diffusion | Bk |
| D for interstitial carbon atoms in iron: BCC-Fe vs FCC-Fe | Bk |
| Successful jump frequency | Bk |
| Kirkendall interface moving velocity | Bk |
| Example for use of Darken’s equations | Bk |
Lecture 09 Surface energy | Classification of interfaces | Bk |
| Liquid-gas interfacial energy & Surface tension | Bk |
| Surface energy for FCC (111) plane | Bk |
| Surface energy for FCC (002) plane | Bk |
| Surface energy for FCC (220) plane | Bk |
| Surface energy for a plane rotating away from a low index plane | Bk |
| Wuff construction and crystal equilibrium shape | Bk |
Lecture 10 Grain boundaries | Tilt grain boundary & Twist grain boundary | Bk |
| Small angle grain boundaries | Bk |
| Tilt GB energy vs misorientation angle | Bk |
| Twin boundaries | Bk |
| Measure GB energy vs misorientation angle | Bk |
| Driving force for general GB migration | Bk |
| Driving force for GB straightening | Bk |
| Driving force for GB rotation | Bk |
| Boundary between three neighboring grains | Bk |
| Stability of grain shape | Bk |
| Grain growth kinetics | Bk |
| Grain boundary segregation | Bk |
Lecture 11 Interfaces and precipitate shape | Coherent interface | Bk |
| Semi-coherent interface | BkTiC-ZrC semi-coherent interface from Li et al. Ceram Int 41(10) 14258 (2015) |
| Incoherent interface | Bk |
| Shapes of fully coherent and incoherent precipitates | Bk |
| Shapes of partially coherent precipitates | Bk |
| Shapes of precipitates at GB | Bk |
| Volume strain on precipitate shape and Coherence loss in growth | Bk |
| Solid-liquid interfaces | Bk |
Lecture 12 Solidification via homogeneous nucleation | Solidification and Nucleation-growth process | Bk |
| Classification of nucleation-growth type phase transformations | Bk |
| Solidification examples | Bk |
| Barriers in reaction or phase transformation | Bk |
| Solidification via homogeneous vs heterogeneous nucleation | Bk |
| Free energy change in solidification via homogeneous nucleation | Bk |
| Driving force vs undercooling in solidification | Bk |
| Critical nucleus size vs undercooling in solidification | Bk |
| Nucleation barrier vs undercooling in solidification | Bk |
| Critical nucleus size vs Max cluster size – Nucleation temperature | Bk |
| Homogeneous nucleation rate | Bk |
Lecture 13 Solidification via heterogeneous nucleation | Free energy change and critical nucleus size for solidification via heterogeneous nucleation | Bk |
| S factor for solidification via heterogeneous nucleation | Bk |
| Heterogeneous nucleation rate for solidification | Bk |
| Other factors influencing heterogeneous nucleation rate | Bk |
| Two growth modes of solid from liquid for a pure element | Bk |
| Continuous growth for a pure element solid | Bk |
| Lateral growth for a pure element solid | Bk |
| Planar growth of a pure element solid into superheated liquid | Bk |
| Dendritic growth of a pure element solid into supercooled liquid | Bk |
Lecture 14 Alloy solidification | Alloy EQUILIBRIUM solidification | Bk |
| Alloy solidification with stirring | Bk |
| Alloy solidification with stirring – Coring | Bk |
| Alloy solidification with stirring – Concentration profile change | Bk |
| Alloy solidification with stirring – Analytical solution | Bk |
| Alloy solidification – NO stirring in liquid | Bk |
| Constitutional supercooling in alloy solidification | Bk |
Lecture 15 Solidification other issues | Eutectic solidification | Bk |
| Zones formed during solidification and controlling cast structure | Bk |
| Expectations for solidification and homogeneous/heterogeneous nucleation | Bk |
Lecture 16 Diffusional phase transformation | Introduction to solid state phase transformation | Bk |
| Characteristics of solid state phase transformation | Bk |
| 1st & 2nd order phase transformation | Bk |
| Phase diagrams and common solid state phase transformations | Bk |
Lecture 17 Nucleation in precipitation | Introduction to precipitation in solid | Bk |
| Homogeneous nucleation in solid | Bk |
| Driving force for homogeneous nucleation in solid precipitation | Bk |
| Nucleation rate for homogeneous precipitation | Bk |
| Nose-shaped curve of nucleation rate for homogeneous precipitation | Bk |
| Heterogeneous precipitation | Bk |
Lecture 18 Growth of precipitates | Precipitate growth and shape | Bk |
| Diffusion controlled planar growth of incoherent precipitate | Bk |
| Nose-shaped rate curve for precipitates growth | Bk |
| Growth of other precipitates | Bk |
Lecture 19 Spinodal decomposition | Introduction to Spinodal decomposition | Bk |
| Solid miscibility gap – example of Cu-Ni | Bk |
| Spinodal decomposition – free energy-composition curve | Bk |
| Spinodal decomposition – Composition change over time | Bk |
| Nucleation-growth within miscibility gap | Bk |
| Spinodal decomposition vs nucleation-growth | Bk |
| Driving force for spinodal decomposition | Bk |
| Interfacial chemical energy and coherent strain energy | Bk |
| Coherency strain and coherent spinodal | Bk |
| Wavelength for composition modulation from spinodal decomposition | Bk |
Lecture 20 Massive transformation and particle coarsening | Introduction to other phase transformations | Bk |
| Precipitate coarsening | Bk |
| Massive transformation | Bk |
| Order-disorder transformation | Bk |
Lecture 21 Martensite transformation | Fe-Fe3C phase diagram and Martensite transformation | Bk |
| Martensite transformation – At low T to meta-stable phase | Bk |
| Martensite transformation – Surface roughness and microstructures | Bk |
| Martensite transformation – Diffusionless and Athermal | Bk |
| Lattice misfit of C in Fe and BCT structure | Bk |
| Crystallography considerations for Martensite transformation in carbon steel | Bk |
Lecture 22 Kinetics trivia | | |
Lecture 23 Models for transformation kinetics | TTT and CT curves | Bk |
| Nucleation and growth kinetics for very low conversion | Bk |
| Nucleation and growth kinetics for high conversion – JMA equation | Bk |
| Nucleation and growth kinetics with site saturation | Bk |
| Nucleation and growth kinetics with diffusion control | Bk |
| Interpretations of JMA equation exponent factor n | Bk |
| Diffusion controlled 1D growth kinetics | Bk |
| Diffusion controlled shrinking core model | Bk |
| Interface controlled shrinking core model | Bk |
| Summary of kinetic models | Bk |
Lecture 24 Example of SiC formation kinetics and mechanism | | |
Lecture 25 Expectations about solid state phase transformation | | |