C 310 Molecular Symmetry Group Theory Lecture Outlines

C 310 Molecular Symmetry & Group Theory Lecture Outlines by Professor Mohamed I. Zaki Chemistry Department, Faculty of Science, Minia University E-mail: mizaki@mu. edu. eg

C 310 Molecular Symmetry and Group Theory A theoretical, Compulsory Course of 2 Credit Hours ILOs Developing abilities and skills for molecular symmetry recognition, quantitative description, and application to directional molecular properties

Course Content Ø Introduction ØMolecular Symmetry Elements and Operations ØGroup Theory (Point Groups) ØNon-degenerate Representations Ø Degenerate Representations ØApplications: • Chemical bonding • Molecular vibrations • Other molecular directional properties

References Ø Handouts; the lecturer. Ø Physical Chemistry, 2 nd edn. , Robert A. Alberty and Robert J. Silbey, Chapter 12, pp. 422 -444; The Sience Library. Ø Physical Chemistry, 7 th edn. , Robert A. Alberty, Chapter 13, pp. 412 -433; The Sience Library.

Part 1 Symmetry Elements & Operations Objectives 1. To recognize symmetry elements in a molecule. 2. To list the symmetry operations generated by each element. 3. To combine together two operations to find the equivalent single operation. Assumed Knowledge: Shapes of simple molecules

Sn for a non-planner molecule

Sn for a planner molecule

Tutorial #1 Finding symmetry elements and operations? Water Molecule Elements: E, C 2, 2 s Operations: E, C 2, 2 s

Tutorial #2 Finding symmetry elements and operations? Ammonia molecule Elements: E, C 3, 3 s Operations: E, 2 C 3, 3 s

Tutorial #3 Finding symmetry elements and operations? Methane molecule Elements: E, 4 C 3, 3 C 2, 3 S 4, 6 s Operations: E, 8 C 3, 3 C 2, 6 S 4, 6 s