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, is not included in this publication.

 

SES # TOPICS LECTURE SLIDES LECTURE SUMMARIES
Irreversible Thermodynamics
L1

Fields and Gradients

Fluxes

Continuity Equation

Entropy Production

Conjugate Driving Forces and Fluxes

(PDF) (PDF)
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)
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) (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 - 1.2 MB) (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 - 1.2 MB)

(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)