NPTEL : NOC:Diffusion in Multicomponent Solids (Metallurgy and Material Science)

Co-ordinators : Prof. Kaustubh Kulkarni


Lecture 1 - Introduction to the Course and Thermodynamics Refresher

Lecture 2 - The Second law of Thermodynamics

Lecture 3 - Application of Second law and Illustration of Intermixing as Irreversible Process

Lecture 4 - Equilibrium, Stability and Phase Diagrams in Single Component Systems

Lecture 5 - Third Law of Thermodynamics and Numerical Examples

Lecture 6 - Thermodynamic Activity and Gibbs Free Energy of Mixing

Lecture 7 - Entropy of mixing of Multicomponent Ideal Solution

Lecture 8 - Regular Solution Model: Application to Ternary System

Lecture 9 - Gibbs Free Energy-Composition Curves, Phase Diagrams and Gibbs Phase rule

Lecture 10 - Exercise: Solution Thermodynamics

Lecture 11 - Driving force for Diffusion, Chemical Potentials and Concentrations

Lecture 12 - Diffusion flux and Frames of Reference

Lecture 13 - Fick’s Law

Lecture 14 - Exercise: Deriving Sigma Cosine for any Cubic Lattice

Lecture 15 - Fick's Law for Multicomponent Diffusion

Lecture 16 - Diffusion Equation and Solution to Steady State Diffusion

Lecture 17 - Conversion of Set of Interdiffusion Coefficients from One Dependent Compared to Another

Lecture 18 - Refresher on Laplace Transform

Lecture 19 - Error Function and Its Laplace transform

Lecture 20 - Instantaneous Planar Source: Solution to Diffusion Equation and Its Applications

Lecture 21 - Solution to Diffusion Equation for Semi-Infinite Slab and Its Application in Carburizing of Steel

Lecture 22 - Solution to Diffusion Equation for Binary Diffusion Couple

Lecture 23 - Solution to Diffusion Equation for Multicomponent Diffusion Couple

Lecture 24 - Nature of Concentration Profiles in Binary and Multicomponent Diffusion Couples

Lecture 25 - Numerical Problems

Lecture 26 - Homogenization of Multicomponent alloys

Lecture 27 - Solution to Diffusion Equation: Periodic Boundary Conditions

Lecture 28 - Energetics of Vacancy Formation

Lecture 29 - Experimental Determination of Enthalpy of Vacancy Formation

Lecture 30 - Mechanisms of Diffusion in Metals and Alloys

Lecture 31 - Point Defects in Intermetallics and Ionic Compounds

Lecture 32 - Diffusion Mechanisms in Intermetallics

Lecture 33 - Theory of Random Walk: Mean Squared Displacement

Lecture 34 - Physical Significance of Diffusivity: Einstein-Smoluchowski Equation

Lecture 35 - Derivation of Correlation Factors in Cubic Crystals by Vacancy Mechanism

Lecture 36 - Correlation Factors for Substitutional Diffusion by Vacancy Mechanism in FCC Crystal

Lecture 37 - Correlation Effects in BCC and Diamond Cubic for Vacancy Mechanism

Lecture 38 - Practice Problems

Lecture 39 - Deriving Relation Between Diffusion Flux and Chemical Potential Gradients

Lecture 40 - Atomic Mobility, Diffusivity and Diffusion Under External Driving Force

Lecture 41 - Non-Ideality as Driving Force

Lecture 42 - Theory of diffusion

Lecture 43 - Experimental Determination of Interdiffusion Coefficients: Boltzmann Matano Analysis

Lecture 44 - Analysis of Interdiffusion Fluxes in Multicomponent Diffusion Couples

Lecture 45 - Various Techniques for Experimental Determination of Multicomponent Interdiffusion Coefficients

Lecture 46 - Experiement Determination of Interdiffusion Coefficients: Examples from Literature

Lecture 47 - Intrinsic Diffusion and Kirkendall Effect

Lecture 48 - Experiemental Determination of Intrinsic Diffusion Coefficients

Lecture 49 - A Brief Introduction to Ternary Phase Diagram

Lecture 50 - Multiphase Diffusion: Diffusion Paths and Diffusion Structures

Lecture 51 - Interdiffusion Analysis of Multiphase Diffusion Couples