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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
6 votes
2 answers
364 views

Potential wells and symmetry in absorption spectroscopy

In a course I am following, we are analyzing the potential wells in molecular absorption spectroscopy. For molecules with more than one normal mode, we can study the potential wells involved in ...
JackI's user avatar
  • 163
34 votes
1 answer
10k views

When is it true that more nodes equals higher energy?

Consider all the MOs of some isolated molecule. (It could be a single atom too; I'll use MO to refer to AOs as well.) Number them in increasing order of the number of nodes (node = surface where the ...
Silvio Levy's user avatar
  • 2,757