For symmetrical molecules the application of group theory has proven to be very helpful.
Examples where group theory can be applied successfully are molecular orbital theory,
molecular spectroscopy, multipole expansions and ligand field theory. In general, group
theoretical results can be used as classification scheme and/or to simplify numerical
calculations. There are many books
available which give an introduction to group theory and its applications to chemistry.
This WWW project gives a collection of character tables for chemically important point
groups. Furthermore reducible representations can be reduced to irreducible representations.
In case of molecular 3N representations and molecular vibrational representations the
symmetry properties of the force constants up to the quartic force field are
All character tables were taken from the books of
Altmann/Herzig (that is probably the most extensive collection of point group tables and properties, an excellent book).
Emails with suggestions or comments are
welcome, I will try to answer them.
Last update July, 21th 2008 by A. Gelessus