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2 votes
0 answers
59 views

Is there a better coordinate framework and symmetry operator for constructing molecular orbitals of molecules with higher-order geometry?

The following excerpt is taken from [1] (with a few rewording, emphasizes are mine). In an attempt to construct molecular orbital (MO) of any molecule, one needs to determine the symmetries of ...
làntèrn's user avatar
  • 639
4 votes
0 answers
89 views

Symmetry Operation on Product of Functions

In regards to direct product representations, I'm trying to find a proof for: $R(X_iY_j)=R(X_i)R(Y_j)$ Where $R$ is a symmetry operation of a group and $X_i$ and $Y_j$ are members of different basis ...
jetdx's user avatar
  • 41
0 votes
0 answers
107 views

Symmetries and degeneracies of the s,p, and d orbitals

Consider the molecular AB_8 (complex with central atom A and 8 B ligands (coordination number 8), for which I determined the point group D_4d) and determine the symmetries and degeneracies of the s, p,...
Kameron Shrum's user avatar
25 votes
1 answer
4k views

What is the mathematical basis behind the Jahn-Teller effect?

Both first-order and second-order Jahn-Teller distortions play a very important role in chemistry. It is often said that the Jahn-Teller effect is based on symmetry arguments, and hence nothing can ...
orthocresol's user avatar
  • 71.6k
8 votes
1 answer
3k views

Determination of +/- reflections in sigma molecular term symbols

This page, which depicts the molecular term symbols for the $\ce{O2}$ and $\ce{O2-}$ (Edit: Mistaken on $\ce{O2-}$) molecules, perhaps best summarizes the full scope of my questions. In general, I don'...
Blaise's user avatar
  • 1,648
2 votes
2 answers
5k views

Symmetry representations for acetonitrile (CH3CN)

Can anybody share the symmetry labels for acetonitrile ($\ce{CH3CN}$), please? I mean to assign the symmetry labels to orbitals of acetonitrile
Abid Hilarious's user avatar