Chemical Forums
Chemistry Forums for Students => Inorganic Chemistry Forum => Topic started by: Dolphinsiu on April 05, 2008, 07:27:01 AM

For transM(CO)3(PR3)2, D3h point group,
D3h E 2 C3 3 C2 sigma h 2 S3 3 sigma v
Red.(CO) 3 0 1 3 0 1
Red.(CO) = A1' + E' (That's what my professor writes)
Actually I don't know why Red.(CO) = A1' + E', which is read from the character table?
Also the same problem, for D5h point group,
D5h E 2 C5 2 C5^2 5 C2 sigma h 2 S5 2 S5^3 5 sigma v
Red. 7 2 2 1 5 0 0 3
Also, my professor writes Red. = 2A' + E' + E2' + A2''
How this reducible representation comes from??? Thank you!

Please see the two attached Word Documents: D_{3h } Point Group and D_{5h} Point Group.

Thank you very much! Do you have all character table for all point group symmetry (except D3h,D5h as you have given) for the downloading? Or a website that can check character table? Thank you!

Here you go:
This site gives you all the Point Group Symmetry Tables (i.e., click on a point group symmetry symbol to get irreducible representations, character and product tables):
http://www.webqc.org/symmetry.php
Point Group Symmetry:
http://www.phys.ncl.ac.uk/staff/njpg/symmetry/
Molecular Symmetry OnLine:
http://telem.openu.ac.il/symmetry/
Point Group Flow Chart:
http://www.science.siu.edu/chemistry/tyrrell/group_theory/sym1.html
This website offers a reduction operator calculator:
This calculator allows you to reduce a reducible representation for a wide range of chemically relevant point groups using the reduction operator. Note there is a link below the calculator that allows you to change the point group.
http://www.hull.ac.uk/chemistry/reductionOperator.php?group=d5h
This site explains the conventions for symmetry notation. It explains that Conventions of the symmetry notations are given in the paper: R. S. Mulliken,. J. Chem. Phys., 23, (1955) 1997.
http://vitalii.chemicalblogs.com/2_computational_chemistry/archive/40_conventions_for_symmetry_notations.html
The following are web pages are also extremely useful:
Introduction To Symmetry and Poit Groups (includes examples of construction):
http://chemistry.umeche.maine.edu/Modeling/symmetry.html
This is one of my favorites:
http://www.reciprocalnet.org/edumodules/symmetry/
This offers exercises in Point Group Symmetrygreat practice for modeling the operations:
http://www.ch.ic.ac.uk/vchemlab/symmetry/
P.S. I fixed the TYPOS in thos attachments ;)

Thank you very much!

My Favorite Subject.... ;)