Advanced Molecular Spectroscopy

Group theory:

• Theorems of linear algebra
• Time-independent and time-dependent perturbation theory
• Discrete and Continuous Groups, Group multiplication tables, Generators
• Symmetry Elements, Symmetry Operations and Point Groups
• Reducible and Irreducible Representations, the Great Orthogonality Theorem and Character Tables
• Projection Operators and symmetry-adapted linear combinations
• Selection Rules for Molecular Spectroscopy
• Electron Density, Structure Factor, Density Matrix, Density Operator and Bloch equations

Molecular Spectroscopy:

• Microwave spectroscopy
• IR spectroscopy of organic molecules
• Raman Spectroscopy
• Atomic and molecular spectroscopy
• UV-Vis spectroscopy of organic molecules
• Detection of functional groups of organic molecules by IR spectroscopy (labs)
• UV-Vis Spectroscopy of various Organic Molecules (labs).
• NMR spectroscopy
• Mass spectrometry
• Moessbauer spectroscopy

Textbooks:

1. F. A. Cotton, Chemical Applications of Group Theory (Wiley Eastern, New Delhi, 1976)
2. B. S. Garg, Chemical Applications of Molecular Symmetry and Group Theory (MacMillan India, 2012)
3. E. B. Wilson, J. C. Decius and P. C. Cross, Molecular Vibrations: The Theory of Infrared and Raman Vibrational Spectra (Dover, New York, 1955)
4. J. I. Steinfeld, Molecules and Radiation: An Introduction to Modern Molecular Spectroscopy (MIT Press, Cambridge, MA, 1979)
5. H. Weyl, The Theory of Groups and Quantum Mechanics (Dover, New York, 1950)
6. C. N. Banwell, Fundamentals of Molecular Spectroscopy (Tata McGraw-Hill, New Delhi, 1987)
7. N. Sukumar, ed. A Matter of Density: Exploring the Electron Density Concept in the Chemical, Biological, and Materials Sciences (John Wiley, Hoboken, NJ, 2013)
8. S.K. Dewan, Organic Spectroscopy (CBS Publishers).