Spectroscopy and Direct Products: Simpler Yet Deeper

When irreducible representations are given in diagrammatic form, it is possible to show direct products pictorially. By giving a similar description of the electric vector associated with a light wave, group-theoretical selection rules (the requirement of a totally symmetric direct product) can also...

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Bibliographic Details
Published in:Journal of chemical education 2010-12, Vol.87 (12), p.1444-1450
Main Author: Kettle, Sidney F. A
Format: Article
Language:English
Subjects:
Chemistry
Geometric Concepts
Molecular Structure
Scientific Concepts
Scientific Methodology
Scientific Principles
Spectroscopy
Spectrum analysis
Teaching Methods
Transformations (Mathematics)
Vibration
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Summary:When irreducible representations are given in diagrammatic form, it is possible to show direct products pictorially. By giving a similar description of the electric vector associated with a light wave, group-theoretical selection rules (the requirement of a totally symmetric direct product) can also be shown in pictorial form. The υ(CO) vibrations of Mn(CO)5Br are considered as an example; some relative band intensity conclusions arise naturally from the pictorial description.
ISSN:0021-9584
1938-1328
DOI:10.1021/ed100293j