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PřF:C6310 Molecular Symmetry - Course Information

## C6310 Molecular Symmetry

**Faculty of Science**

Spring 2011

**Extent and Intensity**- 2/0/0. 2 credit(s) (fasci plus compl plus > 4). Recommended Type of Completion: zk (examination). Other types of completion: k (colloquium).
**Teacher(s)**- doc. RNDr. Pavel Kubáček, CSc. (lecturer)
**Supervisor**- doc. RNDr. Pavel Kubáček, CSc.

Department of Chemistry - Chemistry Section - Faculty of Science **Timetable**- Mon 8:00–9:50 A12-311
**Prerequisites**- No prerequisite or concurrent.
**Course Enrolment Limitations**- 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, x
^{2}, y^{2}, z^{2}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.

- 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, x
**Literature**- ATKINS, P; DE PAULA, Julio. Atkins' physical chemistry. 9th ed. Oxford : Oxford Univ. Press, 2010. 972 s. ISBN 9780199543373
- ATKINS, P. W. and Julio DE PAULA.
*Atkins' physical chemistry*. 8th ed. Oxford: Oxford University Press, 2006. xxx, 1064. ISBN 0198700725. info

*recommended literature*- 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 - COTTON, F. Albert.
*Chemical applications of group theory*. 3rd ed. New York: John Wiley & Sons, 1990. xiv, 461. ISBN 0471510947. info

*not specified***Teaching methods**- 13 lectures with exercises.
**Assessment methods**- The final examination has a written form.
**Language of instruction**- Czech
**Further Comments**- The course is taught annually.

- Enrolment Statistics (Spring 2011, recent)
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