Details of CH3203 (Spring 2017)

Level: 3 Type: Theory Credits: 3.0

Course CodeCourse NameInstructor(s)
CH3203 Group Theory and Spectroscopy Debansu Chaudhuri

Syllabus
Introduction: Einstein A and B coefficients, dipolar interaction between light and matter - time
dependent perturbation approach, Transition probability and Transition moment integral, Fermis
golden rule, Rabi oscillations, Spectral broadening mechanisms. (6 classes)
Atomic Spectroscopy: Fine structure of H-like atoms, spin-orbit coupling, many electron atoms,
Atomic terms and selection rules. (4 classes)
Symmetry and group theory: Properties of group, subgroup and class, symmetry operations and
elements, point groups, matrix representation of groups, operators and basis functions, similarity
transformation, reducible and irreducible representations, Great orthogonality theorem and
consequences, character tables, wavefunctions as bases for irreducible representation, direct
product. (15 classes)
Molecular rotational and vibrational spectroscopy: Recap of rigid rotor and harmonic
oscillator, rotations and vibrations of diatomic and polyatomic molecules, normal, internal and
symmetry coordinates, normal modes and their symmetry, Contribution of internal coordinates to
normal modes, Calculation of force constants, selection rules for fundamental vibrational
transition. (8 classes)
Raman Spectroscopy: Molecular polarizability, classical and quantum description, KramerHeisenberg-Dirac
expression, selection rules, Raman depolarization, resonant Raman
spectroscopy. (4 classes)

References
1. Spectra of Atoms and Molecules, P. F. Bernath, Oxford University Press, 2nd edn., (2005).
2. Molecular Spectroscopy, I. N. Levine, Wiley Publications, (1975).
3. Symmetry and Spectroscopy: An Introduction to Vibrational and Electronic Spectroscopy, D. C.
Harris and Bertolucci, Dover.
4. Basic Atomic and Molecular Spectroscopy, J. M. Hollas, John Wiley.
5. Chemical Applications of Group Theory, F. A. Cotton, Wiley.
6. Modern Raman Spectroscopy- A practical Approach, E. Smith and G. Dent, Wiley.
7. P. W. Atkins and J. de Paula, Physical Chemistry, Oxford University Press, Oxford.
8. Quantum Chemistry, D. A. McQuarrie, Viva Books.

Course Credit Options

Sl. No.ProgrammeSemester NoCourse Choice
1 IP 2 Core
2 IP 4 Not Allowed
3 IP 6 Not Allowed
4 MR 2 Not Allowed
5 MR 4 Not Allowed
6 MS 6 Core
7 RS 1 Not Allowed
8 RS 2 Not Allowed