Group Theory
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How can we predict the IR and Raman spectra of compounds?
Using symmetry operations.
Define what -1, 1 and 0 mean in terms of each operation.
Change in axis: -1 per axis No change in axis: +1 per axis Atoms move: 0 per axis
What are A and B?
A=symmetrical with respect to primary axis B=anti-symmetrical with respect to primary axis.
What is E? What is T?
E=Double degenerate T=Triple degenerate
What is g and what is u?
G (Gerade)=Symmetrical with respect to inverse U (Ungerade)=Asymmetrical with respect to inverse
What is the subscript 1 and 2?
1=Symmetric with respect to principle axis 2=Asymmetric with respect to principle axis
What is ‘ and ‘’?
‘=Symmetric with respect to sigma h (horizontal reflection) “=Asymmetric with respect to sigma h (horizontal reflection)