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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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