ABOUT THE COURSE:This course introduces the fundamental concepts of diffusion in solids to the students of materials science and metallurgical engineering. Diffusion is a key phenomenon controlling several thermally activated processes in materials. The course offers unique blend of in-depth fundamental diffusion concepts applied to several class of materials such as metallic alloys, semiconductors, ionic solids and nanocrystalline systems. The students will learn to solve diffusion equations following continuumapproach as well as gain understanding of atomic mechanisms of diffusion. The course will also include a DICTRA module where students will learn basics of computational tools for diffusion and get a hands on experience on the same. Techniques to measure the diffusion coefficients are also a part of the course.INTENDED AUDIENCE: Undergraduate students and First year PG studentsINDUSTRY SUPPORT: Tata Steel, JSW, General Electric, Eaton, Kennametal India, TCS Engineering, Hindalco, MIDHANI, Sandvik. In general, all Materials and Manufacturing Industries that engage in materials processing and design, and the government labs like DMRL, ISRO, BARC, IGCAR

Syllabus

Week 1: Module 1 – Fick’s Laws of Diffusion
Lec 1 - Diffusion in materials world
Lec 2 – Fick’s first law of diffusion
Lec 3 - Fick’s second law of diffusion
Lec 4 - Introduction to Laplace transform
Lec 5 - Tutorial 1Week 2:Module 2 – Solutions to diffusion equations
Lec 6 - Laplace transformation of Fick's second law
Lec 7 - Instantaneous source problem
Lec 8 - Constant source problem
Lec 9 - Demo of Scilab: Plotting the diffusion profiles.
Lec 10 - Tutorial-2Week 3:Lec 11 - Solution of diffusion couple
Lec 12 - Solution for Homogenization
Lec 13 - Vacuum degassing
Lec 14 - Demo of Scilab: Plotting the diffusion profile.
Lec 15 - Tutorial 3Week 4:Module 3 – Atomic Mechanisms of Diffusion
Lec 16 - Types of diffusion mechanisms
Lec 17 - Relation between jump frequency and the diffusion coefficient
Lec 18 - Effect of temperature on diffusion coefficient
Lec 19 - Diffusion mechanisms in Intermetallics-1
Lec 20 - Tutorial -4Week 5:Lec 21 - Diffusion Mechanisms in Intermetallics-2
Lec 22 - Random walk of atoms
Lec 23 - Einstein-Smoluchowski Relation
Lec 24 - Concept of correlation factor
Lec 25 -Tutorial -5Week 6:Module 4 – Interdiffusion
Lec 26 - Basics of interdiffusion
Lec 27 - Revision of G-X curves and phase diagrams
Lec 28 - Chemical potential as driving force for diffusion.
Lec 29 - Phase formation in interdiffusion
Lec 30 - Tutorial-6Week 7:Lec 31 - Concentration profiles in interdiffusion
Lec 32 - Boltzmann-Matano Method
Lec 33 - Kirkendall Effect
Lec 34 - Intrinsic diffusion and darkens equations.
Lec 35 - Tutorial -7Week 8:Module 5 – Kinetic Simulations
Lec 36 - Introduction to CALPHAD
Lec 37 - Introduction to Thermocalc and DICTRA
Lec 38 - Thermodynamic and kinetic databases
Lec 39 - Homogenization, moving boundary problems.
Lec 40 - Tutorial - 8Week 9:Module 6 – Diffusion Measurement Techniques
Lec 41 - Radiotracer diffusion
Lec 42 - SIMS and EPMA
Lec 43 - Mechanical spectroscopy
Lec 44 - Nuclear & Electrical methods
Lec 45 - Tutorial-10Week 10:Module 7 – High diffusivity paths
Lec 46 - Grain boundary structure and fisher model
Lec 47 - Kinetic regime of grain boundary diffusion
Lec 48 - Dislocation pipe diffusion
Lec 49 - Diffusion in nanocrystalline materials
Lec 50 - Tutorial-11Week 11:Module 8 – Diffusion in important class of materials
Lec 51 - Diffusion in metallic alloys-1
Lec 52 - Diffusion in metallic alloys-2
Lec 53 - Diffusion in semiconductors-1
Lec 54 - Diffusion in semiconductors-2
Lec 55 - Tutorial -12Week 12:Lec 56 - Diffusion in ionic solids-1
Lec 57 - Diffusion in ionic solids-2
Lec 58 - Diffusion in glasses-1
Lec 59 - Revision of important concepts
Lec 60 - Tutorial -13