Phase Diagrams in Materials Science and Engineering

By Prof. Krishanu Biswas | IIT Kanpur

Learners enrolled: 191 | Exam registration: 20

ABOUT THE COURSE: Phase diagrams are important for materials science and engineering applications encompassing from structural materials to functional materials, including electronic, magnetic applications. The course is intended to make the students and research familiarize with binary and ternary phase diagrams and microstructure of different materials. It is to be noted that microstructure plays a vital role in deciding the properties of the materials. Thus, it is important to connect the phase diagram information for microstructural evolution.

INTENDED AUDIENCE: It is an elective for students of UG/PG

PRE-REQUISITES: Metallurgical Thermodynamics and knowledge of using computer softwares

Summary

Course Status :	Ongoing
Course Type :	Elective
Language for course content :	English
Duration :	12 weeks
Category :	Metallurgy and Material science & Mining Engineering
Credit Points :	3
Level :	Undergraduate/Postgraduate
Start Date :	20 Jan 2025
End Date :	11 Apr 2025
Enrollment Ends :	03 Feb 2025
Exam Registration Ends :	28 Feb 2025
Exam Date :	04 May 2025 IST

Note: This exam date is subject to change based on seat availability. You can check final exam date on your hall ticket.

Page Visits

Course layout

Week 1:

Lecture 1: Phase rule, lever rule, Free energy of phase mixture

Lecture 2 : Unary systems, Effect of pressure on phase diagrams

Lecture 3: Binary Isomorophous Systems, Free energy-composition digrams,

Week 2:

Lecture 4 : Equilibrium solidification, Non- Equilibrium solidification of alloys,

Lecture 5: Coring, examples from Cu-Ni alloys, Zone refining

Lecture 6: Phase Diagrams of Binary Eutectic systems

Week 3:

Lecture 7: Solidification of eutectic, hypo-eutectic, and hyper-eutectic alloys and their

morphologies with examples from Al-Si, Fe-C, Ag-Cu, Pb-Sn systems

Lecture 8: Phase diagrams of binary peritectic System, evolution of these phase diagrams

Lecture 9 : Solidification of peritectic alloys,

Week 4:

Lecture 10 : hypo and hyper-peritectic alloys; Morphologies

Lecture 11: Concept of Liquid Phase immiscibility Binary Monotectic and Systectic Systems

Lecture 12: Evolution of monotectic and syntactic phase diagrams, free –energy composition diagrams,

Week 5:

Lecture 13: Development of microstructures in systems Cu-Pb, Na-Zn, K-Zn, Effect of gravity on solidification of these alloys

Lecture 14: Concept of solid state immicibility and spinodal decompositions,

Lecture 15: Phase diagrams showing spinodal decomposition, microstrucural evolution

Week 6:

Lecture 16: Thermodynamics of phase equilibria: Regular and irregular solutions

Lecture 17: Models for regular and irregular solutions,

Lecture 18: Quasichemical theory : detailed descriptions

Week 7 :

Lecture 19 : Stability of regular solution and miscibility gap,

Lecture 20- 21: Application of Quaichemical to eutectic, peritectic

Lecture 22 : and Monotectic systems, intrinsic stability of solution and spinodal.

Week 8:

Lecture 23: Theory of alloy Phases: Hume-Rothery rules,

Lecture 24 : Intermediate phases e.g., laves, sigma, electron compounds

Lecture 25: Important systems with intermediate phases: Ni-Al, Ti-Al and Fe-Al systems

Week 9:

Lecture 26 : Iron-carbon phase diagram and microstructures of plain carbon steel and cast iron: non-equilibrium structures

Lecture 27-28::Some binary ceramics systems: SiO2-Al2O3, NiO-MnO, etc and their microstructure.

Week 10

Lecture 29 : Ternary phase diagrams: Gibbs triangle, isothermal and vertical sections,

Lecture 30-31: Polythermal projections, two-phase equilibrium

Week 11

Lecture 32: Concept of the lines, rules for construction of tie lines,

Lecture 33-34: three phase equilibrium, concept of tie-triangle, four phase equilibria.

Week 12

Lecture 35-36: Multi-component alloy systems: Stainless steels, high speed steels, super alloys, light metal alloys, refractory systems (Al2O3 - SiO2 -MgO)

Instructor bio

Prof. Krishanu Biswas

IIT Kanpur

Prof. Krishanu Biswas, Ranjit Singh chair professor at the Department of Materials Science and Engineering at IIT Kanpur. He is a prolific teacher, developed courses on Phase Diagrams, Phase Transformation and Nanomaterials under the umbrella of NPTEL. He teaches both UG/PG courses at IIT Kanpur. He also works on application of AI-ML in materials engineering. His research includes multicomponent materials, materials for hydrogen energy, electron microscopy ete.

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: May 4, 2025 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.

CRITERIA TO GET A CERTIFICATE

Average assignment score = 25% of average of best 8 assignments out of the total 12 assignments given in the course.

Exam score = 75% of the proctored certification exam score out of 100

Final score = Average assignment score + Exam score

Please note that assignments encompass all types (including quizzes, programming tasks, and essay submissions) available in the specific week.

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