Phase Equilibria in Materials (Nature & Properties of Materials-II)

By Prof. Ashish Garg   |   IIT Kanpur
Learners enrolled: 71
The course is second part of the broader course on Nature and Properties of materials and would be suitable for undergraduate and postgraduate students of every branch of science and engineering. This course will focus on essentials of thermodynamics, thermodynamic basis of phase diagrams, free energy composition diagrams, phase equilibrium, phase diagrams in unary, binary and ternary systems and correlation of phase diagrams with microstructure evolution. The course will enable a beginner in Materials to understand the phase diagrams

INTENDED AUDIENCE: UG students of any branch of engineering and sciences, PG students engaged in materials related research

PREREQUISITES: 12th standard, Science Background

INDUSTRY SUPPORT: Materials related companies
Course Status : Upcoming
Course Type : Elective
Duration : 8 weeks
Start Date : 26 Jul 2021
End Date : 17 Sep 2021
Exam Date : 26 Sep 2021
Enrollment Ends : 02 Aug 2021
Category :
  • Metallurgy and Material science & Mining Engineering
Credit Points : 2
Level : Undergraduate/Postgraduate

Course layout

Week 1  : Introduction, Thermodynamic aspects of phase formation and phase equilibrium, Mixing of atoms
Week 2  : Thermodynamics of mixing in binary solutions: Ideal and Regular Solutions, Real Solutions
Week 3 : Systems with intermediate phases, Equilibrium in Heterogenous systems, Free energy composition diagrams and their use in determining phase diagrams
Week 4  :  Types of Phase diagrams and reactions, Gibbs phase rule and its applications to phase diagrams, Invariant reactions, Tie-line and Lever rule
Week 5  :  Binary Phase Diagrams: Applications of tie-line and lever rules to determine phase compositions and fractions, Microstructure evolution under equilibrium and non-equilibrium cooling conditions, Examples of Phase diagrams and their correlations with microstructures in common alloy systems.
Week 6  :  Examples of Phase diagrams and their correlations with microstructures in common alloy systems: Fe-C, Cu-Zn systems
Week 7  :  Experimental determination of phase diagrams, Ternary phase diagrams
Week 8  :  Ternary Phase diagrams and Course summary

Books and references

1. V. Raghavan, Materials  Science and Engineering: A First  Course, Prentice Hall of India. (Text)
2. W.D. Callister, Material s Science and Engineering: A Introduction, Wiley
3. J. Wulff, The Structure and Properties of Materials, Wiley Vol 2: Thermodynamics of Structure
4. Phase Equilibria in Materials, S.P. Gupta, Allied Publishers

Instructor bio

Prof. Ashish Garg

IIT Kanpur
Ashish Garg is Professor of Materials Science and Engineering at IIT Kanpur. Details of his research and teaching can be accessed on home.iitk.ac.in/~ashishg/

Course certificate

The course is free to enroll and learn from. But if you want a certificate, you have to register and write the proctored exam conducted by us in person at any of the designated exam centres.
The exam is optional for a fee of Rs 1000/- (Rupees one thousand only).
Date and Time of Exams: September 26, 2021 Morning session 9am to 12 noon; Afternoon Session 2pm to 5pm.
Registration url: Announcements will be made when the registration form is open for registrations.
The online registration form has to be filled and the certification exam fee needs to be paid. More details will be made available when the exam registration form is published. If there are any changes, it will be mentioned then.
Please check the form for more details on the cities where the exams will be held, the conditions you agree to when you fill the form etc.


Average assignment score = 25% of average of best 6 assignments out of the total 8 assignments given in the course. 
Exam score = 75% of the proctored certification exam score out of 100

Final score = Average assignment score + Exam score

YOU WILL BE ELIGIBLE FOR A CERTIFICATE ONLY IF AVERAGE ASSIGNMENT SCORE >=10/25 AND EXAM SCORE >= 30/75. If one of the 2 criteria is not met, you will not get the certificate even if the Final score >= 40/100.

Certificate will have your name, photograph and the score in the final exam with the breakup.It will have the logos of NPTEL and IIT Kanpur .It will be e-verifiable at nptel.ac.in/noc.

Only the e-certificate will be made available. Hard copies will not be dispatched.

Once again, thanks for your interest in our online courses and certification. Happy learning. 

- NPTEL team

MHRD logo Swayam logo


Goto google play store