Syllabus

Module 1. Definitions and theorems of group theory: Groups, subgroups, classes, Molecular symmetry and symmetry groups: Elements of symmetry, operations, proper axes and rotation, product of symmetry operations, equivalent symmetry, point groups,
Module 2. Representation of groups: Matrices, vectors, great orthogonality theorem, character table, Group theory and quantum mechanics: Irreducible representation, direct product, nonzero matrix elements,
Module 3. Symmetry Adapted Linear Combination: Projection operators, their derivation and construction,
Module 4. Application in molecular spectroscopy: General cases of LCAO-MO p bonding, electronic excitations, selection rules, symmetry based selection rules, Transformation properties of atomic orbitals, examples in ABn type molecules, Module 5. Ligand field theory, construction of energy level diagrams,
Module 6. molecular vibrations: symmetry of normal vibrations, selection rules of fundamental vibrations, application in Raman spectroscopy,

To develop the conceptual background to understand how symmetry of molecules dictate chemical bonding as well as the way molecules interact with electromagnetic radiation

To quantum mechanical postulates with electronic structure of molecules by providing a mathematical interpretation in terms of group theory

To illustrates how molecular energy level calculation can be simplified by using principles group theory

To provide a comprehensive details about construction of molecular energy level diagrams and correlation diagrams of inorganic compounds in general with particular focus on metal complexes

1. To understand and comprehend various symmetry elements of molecules based on their geometric structure.
2. To classify the molecules into various groups based on their symmetry properties
3. To apply the basic concepts of group theory to interpret vibrational and electronic spectra of molecules
4. To utilize the concepts of group theory to simplify molecular energy level calculations.
5. To utilize the concept of symmetry to comprehend the energy level diagrams of inorganic compounds including metal complexes and to interpret their spectral and magnetic properties.

F. A. Cotton, Chemical Applications of Group Theory, Wiley Eastern

M. S. Gopinathan and V. Ramakrishnan, Group Theory in Chemistry, Vishal Publishers

A. Streitweiser, Molecular Orbital for Organic Chemistry, John Wiley & Sons

David M. Bishop, Group theory and Chemistry, Dover