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Representation Products:
⊗ |
Ag |
Eg |
Tg |
Au |
Eu |
Tu |
Ag |
Ag |
Eg |
Tg |
Au |
Eu |
Tu |
Eg |
Eg |
2Ag+Eg |
2Tg |
Eu |
2Au+Eu |
2Tu |
Tg |
Tg |
2Tg |
Ag+Eg+2Tg |
Tu |
2Tu |
Au+Eu+2Tu |
Au |
Au |
Eu |
Tu |
Ag |
Eg |
Tg |
Eu |
Eu |
2Au+Eu |
2Tu |
Eg |
2Ag+Eg |
2Tg |
Tu |
Tu |
2Tu |
Au+Eu+2Tu |
Tg |
2Tg |
Ag+Eg+2Tg |
Transition Products:
For the Th point group, the irreducible representation of the dipole operator is Tu. Transitions that are dipole forbidden are indicated by parentheses.
⊗Tu⊗ |
Ag |
Eg |
Tg |
Au |
Eu |
Tu |
Ag |
(Tu) |
(2Tu) |
(Au+Eu+2Tu) |
(Tg) |
(2Tg) |
Ag+Eg+2Tg |
Eg |
(2Tu) |
(4Tu) |
(2Au+2Eu+4Tu) |
(2Tg) |
(4Tg) |
2Ag+2Eg+4Tg |
Tg |
(2Au+2Eu+4Tu) |
(2Au+2Eu+4Tu) |
(2Au+2Eu+7Tu) |
2Ag+2Eg+4Tg |
2Ag+2Eg+4Tg |
2Ag+2Eg+7Tg |
Au |
(Tg) |
(2Tg) |
Ag+Eg+2Tg |
(Tu) |
(2Tu) |
(Au+Eu+2Tu) |
Eu |
(2Tg) |
(4Tg) |
2Ag+2Eg+4Tg |
(2Tu) |
(4Tu) |
(2Au+2Eu+4Tu) |
Tu |
2Ag+2Eg+4Tg |
2Ag+2Eg+4Tg |
2Ag+2Eg+7Tg |
(2Au+2Eu+4Tu) |
(2Au+2Eu+4Tu) |
(2Au+2Eu+7Tu) |
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