C6310 Molecular Symmetry

Faculty of Science
Spring 2009
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)
Guaranteed by
doc. RNDr. Pavel Kubáček, CSc.
Department of Chemistry – Chemistry Section – Faculty of Science
Timetable
Mon 11:00–12:50 C12/311
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 / plans 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 0198700725. 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
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.
The course is also listed under the following terms Spring 2008 - for the purpose of the accreditation, Spring 2011 - only for the accreditation, Spring 2000, Spring 2001, Spring 2002, Spring 2003, Spring 2004, Spring 2005, Spring 2006, Spring 2007, Spring 2008, Spring 2010, Spring 2011, Spring 2012, spring 2012 - acreditation, Spring 2013, Spring 2014, Spring 2015, Spring 2016, autumn 2017, spring 2018, Spring 2019, Spring 2020, Spring 2021, Spring 2022, Spring 2023, Spring 2024, Spring 2025.
  • Enrolment Statistics (Spring 2009, recent)
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