Symmetry and Group Theory

By Prof. Anindya Datta   |   IIT Bombay
Learners enrolled: 761
This course provides a quantitative treatment of symmetry in chemistry, using group theory. We start with determination of point group, discuss transformation matrices, abstract group theory, unitary transformations, derivation of Great Orthogonality Theorem and its consequences leading to character tables. Then, various applications in Chemistry are discussed. It is equivalent to CH 801 of IIT Bombay. The lectures are already recorded by CDEEP, IIT Bombay.

Course Status : Completed
Course Type : Core
Duration : 12 weeks
Category :
  • Chemistry
Credit Points : 3
Level : Undergraduate/Postgraduate
Start Date : 26 Jul 2021
End Date : 15 Oct 2021
Enrollment Ends : 09 Aug 2021
Exam Date : 23 Oct 2021 IST

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

Page Visits

Course layout

Week 1  :  Symmetry elements and operations
Week 2  :  Transformation matrices
Week 3  :  Know thy matrices
Week 4  :  Matrix representations
Week 5  :  Juggling with representations
Week 6  :  Derivation of Great Orthogonality Theorem
Week 7  :  Character tables for cyclic groups
Week 8  :  Projection operators
Week 9  :  From SALCs to molecular orbitals
Week 10  :  Naphthalene: a case study
Week 11  :  Ferrocene: a case study
Week 12  :  Electronic spectrum of benzene

Books and references

Group theory and Chemistry by D M Bishop, Symmetry in Chemistry by F A Cotton

Instructor bio

Prof. Anindya Datta

IIT Bombay
I am a Professor of Chemistry in IIT Bombay, with research interest in ultrafast spectroscopy and time resolved fluorescence microscopy. I have teaching experience of 17 years. 14 Ph. D. students have graduated from our laboratory. Eight more are working towards their degree. I received Excellence in Teaching Award from our institute in 2017 and have taught two NPTEL courses: one on Molecular Spectroscopy and another on Symmetry in Chemistry.

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: 23 October 2021 Morning session 9am to 12 noon; Afternoon Session 2pm to 5pm.
Registration url: Announcments 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 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

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 Bombay .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