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Representation Products:
| ⊗ |
Ag |
Bg |
Eg |
Au |
Bu |
Eu |
| Ag |
Ag |
Bg |
Eg |
Au |
Bu |
Eu |
| Bg |
Bg |
Ag |
Eg |
Bu |
Au |
Eu |
| Eg |
Eg |
Eg |
2Ag+2Bg |
Eu |
Eu |
2Au+2Bu |
| Au |
Au |
Bu |
Eu |
Ag |
Bg |
Eg |
| Bu |
Bu |
Au |
Eu |
Bg |
Ag |
Eg |
| Eu |
Eu |
Eu |
2Au+2Bu |
Eg |
Eg |
2Ag+2Bg |
Transition Products:
For the C4h point group, the irreducible representation of the dipole operator is Au+Eu. Transitions that are dipole forbidden are indicated by parentheses.
| ⊗(Au+Eu)⊗ |
Ag |
Bg |
Eg |
Au |
Bu |
Eu |
| Ag |
(Au+Eu) |
(Bu+Eu) |
(2Au+2Bu+Eu) |
Ag+Eg |
(Bg+Eg) |
2Ag+2Bg+Eg |
| Bg |
(Bu+Eu) |
(Au+Eu) |
(2Au+2Bu+Eu) |
(Bg+Eg) |
Ag+Eg |
2Ag+2Bg+Eg |
| Eg |
(2Au+2Bu+Eu) |
(2Au+2Bu+Eu) |
(2Au+2Bu+4Eu) |
2Ag+2Bg+Eg |
2Ag+2Bg+Eg |
2Ag+2Bg+4Eg |
| Au |
Ag+Eg |
(Bg+Eg) |
2Ag+2Bg+Eg |
(Au+Eu) |
(Bu+Eu) |
(2Au+2Bu+Eu) |
| Bu |
(Bg+Eg) |
Ag+Eg |
2Ag+2Bg+Eg |
(Bu+Eu) |
(Au+Eu) |
(2Au+2Bu+Eu) |
| Eu |
2Ag+2Bg+Eg |
2Ag+2Bg+Eg |
2Ag+2Bg+4Eg |
(2Au+2Bu+Eu) |
(2Au+2Bu+Eu) |
(2Au+2Bu+4Eu) |
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