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 – B_{4}C 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 

Descriptionsapplicationscharacteristics of diffusion 
Bk 

Downhill diffusion 
Bk 

Uphill diffusion 
Bk 

Binary phase diagrams with miscibility gap 
Bk 

Additional considerations on downhill vs uphill 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 FCCFe 
Bk 

Thermal activation of diffusion 
Bk 
Lecture 03 Steadystate & nonsteadystate diffusion – Fick’s 2nd law 
Steady state diffusion and concentration profile 
Bk 

Nonsteady state diffusion and Fick’s 2nd Law 
Bk 

Change of concentration profile with time 
Bk 

Diffusion example – Homogenization 
Bk 

Diffusion example – Spinon 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 Selfdiffusion & 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 selfintrinsicinter 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 Shortcircuit 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 

Downhill diffusion in a singlephase region 
Bk 

Downhill diffusion involving a twophase region 
Bk 
Lecture 08 Diffusion – other problems 
Expectations about diffusion 
Bk 

D for interstitial carbon atoms in iron: BCCFe vs FCCFe 
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 

Liquidgas 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 

Semicoherent interface 
Bk
TiCZrC semicoherent 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 

Solidliquid interfaces 
Bk 
Lecture 12 Solidification via homogeneous nucleation 
Solidification and Nucleationgrowth process 
Bk 

Classification of nucleationgrowth 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 

Noseshaped 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 

Noseshaped 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 CuNi 
Bk 

Spinodal decomposition – free energycomposition curve 
Bk 

Spinodal decomposition – Composition change over time 
Bk 

Nucleationgrowth within miscibility gap 
Bk 

Spinodal decomposition vs nucleationgrowth 
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 

Orderdisorder transformation 
Bk 
Lecture 21 Martensite transformation 
FeFe3C phase diagram and Martensite transformation 
Bk 

Martensite transformation – At low T to metastable 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 

