Cubic: Th (m3) - 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 |
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) |