## Details of CH4103 (Autumn 2020)

Level: 4 |
Type: Theory |
Credits: 4.0 |

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

CH4103 |
Group Theory and Spectroscopy |
Debansu Chaudhuri, Sourav Pal |

Syllabus |
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Symmetry and Group Theory
Introduction to group theory, Properties of a group, Subgroup and Class, Symmetry elements and operations, Symmetry point groups, Matrix representation of groups, Operators and basis functions, Symmetry of Hamiltonian Operator, Unitary and Similarity transformation, Reducible and Irreducible representations, Great Orthogonality Theorem and its consequences, Character tables, Wavefunctions as bases for irreducible representation, Direct product and significance. Spectroscopy Einstein A and B coefficients, dipolar interaction between light and matter - time dependent perturbation approach, Weak and strong field interaction, Transition probability and Transition moment integral, Fermis golden rule, Rabi oscillations, Spectral broadening mechanisms. Molecular Vibrational Spectroscopy Recap of harmonic oscillator, Vibrations of diatomic and polyatomic molecules, Normal coordinates, Normal modes and their symmetry, Contribution of internal coordinates to normal modes, Selection rules for fundamental vibrational transitions. |

References |
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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. | Programme | Semester No | Course Choice |
---|---|---|---|

1 | IP | 1 | Core |

2 | IP | 3 | Core |

3 | IP | 5 | Not Allowed |

4 | MR | 1 | Not Allowed |

5 | MR | 3 | Not Allowed |

6 | MS | 5 | Not Allowed |

7 | MS | 7 | Core |

8 | MS | 9 | Not Allowed |

9 | RS | 1 | Elective |

10 | RS | 2 | Elective |