## Details of CH3203 (Spring 2017)

Level: 3 |
Type: Theory |
Credits: 3.0 |

Course Code | Course Name | Instructor(s) |
---|---|---|

CH3203 |
Group Theory and Spectroscopy |
Debansu Chaudhuri |

Syllabus |
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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 |
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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. | Programme | Semester No | Course 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 |