Lecture Notes

These lecture notes cover the kinetics segment of 3.205, which is typically taught in a six-week period in the second half of the semester. The thermodynamics segment of 3.205, taught in the first half of the semester, has not yet been incorporated into OCW.

SES # TOPICS LECTURE SLIDES LECTURE SUMMARIES
Irreversible Thermodynamics
L1 Fields and Gradients

Fluxes

Continuity Equation

Entropy Production

Conjugate Driving Forces and Fluxes
(PDF) (PDF 1)

(PDF 2)
Diffusional Transport
L2 Mass Diffusion in a Continuum

Diffusion Coefficients

Mass Diffusion: Fick's Laws

Self-Diffusion

Interdiffusion

The Kirkendall Effect

Capillarity-Driven Diffusion

Stress-Driven Diffusion
(PDF) (PDF)
L3 Solutions to the Diffusion/Heat Equation

Mass Diffusion: Methods of Solving the Diffusion Equation (Fick's Second Law)
(PDF) (PDF)
L4 Atomistic Mechanisms of Diffusion

Interphase Layer Growth in Interdiffusion

Atomistic Mechanisms of Diffusion: Vacancy, Interstitial, etc.

Theory for Diffusion Coefficients and their Temperature Dependence
(PDF) (PDF 1)

(PDF 2)
L5 Diffusion in Ionic Crystals: Kroger-Vink Notation for Point Imperfections

Schottky and Frenkel Intrinsic Disorder

Extrinsic Defects

Self-Diffusion in Pure and Impure KCl

Also includes optional information about Diffusion in Non-Stoichiometric Oxides
(PDF - 1.2MB) (PDF)
L6 Role of Micro Structure in Diffusion: Short-Circuits

Short-Circuit Diffusion in Crystals: Diffusion Spectrum in Defective Crystals, Dislocation Structure and Short Circuits, Grain-Boundary Structure and Diffusion
(PDF - 1.2MB) (PDF)
Phase Transformations
L7 Homogeneous and Heterogeneous Nucleation

Introduction to Phase Transformations Lectures

Continuous vs. Discontinuous Transformations

Nucleation Theory, including Interplay between Surface and Volumetric Energy Terms, Coherency Strain Energy
(PDF - 6.6MB) (PDF 1)

(PDF 2)
L8 Diffusional Growth

The "Moving Boundary" Problem

Growth Phenomena: Interface Control vs. Diffusion Control

Diffusion-Controlled Growth, including Melting of a Pure Material, Interdiffusion with a Moving Boundary, and Alloy Solidification
(PDF) (PDF)
L9 Solidification: Thermal and Solute Gradients and Interfacial Shape Stability

Cells and Dendrites

Casting Microstructures

Microsegregation
(PDF) (PDF)
L10 Spinodal Decomposition: Phase Diagrams with a Spinodal Region

Free Energy of a Compositionally Inhomogeneous Solution

Interdiffusion within the Spinodal Region

Kinetics of Spinodal Decomposition

Spinodal Microstructures
(PDF) (PDF)
Microstructural Changes
L11 Particle Coarsening: Capillarity as a Driving Force

Coarsening in Pb–Sn Solid/Liquid Alloys

Gibbs-Thomson Effect

Kinetics in the Diffusion-Controlled Regime
(PDF) (PDF)
L12 Sintering

Grain Growth

Grain-Growth Kinetics in Two and Three Dimensions

Kinetics of Nucleation and Growth Transformations: Time-Temperature-Transformation Diagrams
(PDF) (PDF)