Symmetry Elements and Spatial Symmetry Operations. Multiplicaation of Symmetry Operations. Point Group Symmetry and the Classificatiaon of Molecultes According to Them. Basic Concepts in Group Theory: Group Propereties, the Multiplication Table, Subgroups, Commutative and Non-Commutative Groups, Cyclic Groups, Conjugacy Classes. Matrix Representations of Groups and Their Characters. Reducible and Irreducible Representation. the Orthogonality of Irreducible Represnetation, Character Tables, Reduction of Representations and Projection Operations. Symmetry Properties and Quantum Mechanics. Normal Modes of Vibration, Selection Rules and Spectroscopy. Symmetry Adapted Molecular Orbitals, Hybridization Reduction of Symmetry by Substitute Or External Fields.