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Topic: Reducible representation of Oh Cube, mildly urgent  (Read 5931 times)

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Offline Enantiomer

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Reducible representation of Oh Cube, mildly urgent
« on: October 26, 2009, 10:45:58 PM »
Hi folks,
I'm currently racking my brain trying to figure out a question that just doesn't really seem possible to me...
"Consider a metal atom surrounded by a cube-shaped arrangement of eight ligand atoms (Oh symmetry) and derive the reducible representation for the 8 sigma bonds."

Now I've looked up and down and I can't think of a way to get the reducible form of this compound without the irreducible parts to it, regardless I basically just poked around until one worked but I'm basically just short of certain that it isn't right... 
Oh|E  8C3  6C2  6C4  3C42  i  6S4  8S6  3σh  6σd   (where h = 48)
Γ | 8   2      0     0     0    8     0     2     0      0
This works but I'm borderline certain that it isn't right, I've asked freaking everyone about this and they don't seem to know, does anyone have ANY idea what I can do to make a correct reducible compound?

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