The course is also offered to the students of the fields other than those the course is directly associated with.
Fields of study the course is directly associated with
there are 25 fields of study the course is directly associated with, display
Course objectives
After completing this course students will recognize and understand: The defining properties of the group, the multiplication table, and the class. Symmetry elements and operations. The point symmetry groups, classification of molecules. Representations of a group, characters. Selection rules in spectroscopy and applications to the chemical bonding.
Tracing the sources of symmetry arguments in chemistry the course objective also is the ability of applying them.
Syllabus
Introduction: symmetry in natural sciences including history
1. Group, the defining properties, the multiplication table, subgroup, class.
2. Symmetry elements and operations.
3. The point symmetry groups, classification of molecules.
4. Symmetry contingent molecular properties .
5. Matrix representations of a group, characters.
6. Irreducible representations and their characters degeneracy.
7. Character tables of irreducible representations.
8 . Transformation properties of the functions x, y, z, xy, xz, yz, x2, y2, z2 and rotations.
9. Zero and non-zero values of integrals.
10. Selection rules in spectroscopy.
11. Symmetry of molecular vibrations.
12. Applications to the chemical bonding.
Literature
ATKINS, P. W. and Julio de. PAULA. Atkins' physical chemistry. 8th ed. Oxford: Oxford University Press, 2006. xxx, 1064. ISBN 0-19-870072-5. info
Cotton, Frank Albert. Chemical Applications of Group Theory, 3rd Edition, John Wiley & Sons; ISBN: 0471510947
HARGITTAI, István and Magdolna HARGITTAI. Symmetry through the eyes of a chemist. 2nd ed. New York: Plenum Press, 1995. xii, 496 s. ISBN 0-306-44852-1. info