Hexagonal: C6h (-6/m) - Products |
Ag | Bg | E1g | E2g | Au | Bu | E1u | E2u | |
Ag | Ag | Bg | E1g | E2g | Au | Bu | E1u | E2u |
Bg | Bg | Ag | E2g | E1g | Bu | Au | E2u | E1u |
E1g | E1g | E2g | 2Ag+E2g | 2Bg+E1g | E1u | E2u | 2Au+E2u | 2Bu+E1u |
E2g | E2g | E1g | 2Bg+E1g | 2Ag+E2g | E2u | E1u | 2Bu+E1u | 2Au+E2u |
Au | Au | Bu | E1u | E2u | Ag | Bg | E1g | E2g |
Bu | Bu | Au | E2u | E1u | Bg | Ag | E2g | E1g |
E1u | E1u | E2u | 2Au+E2u | 2Bu+E1u | E1g | E2g | 2Ag+E2g | 2Bg+E1g |
E2u | E2u | E1u | 2Bu+E1u | 2Au+E2u | E2g | E1g | 2Bg+E1g | 2Ag+E2g |
For the C6h point group, the irreducible representation of the dipole operator is (Au+E1u). Transitions that are dipole forbidden are indicated by parentheses.
(Au+E1u) | Ag | Bg | E1g | E2g | Au | Bu | E1u | E2u |
Ag | (Au+E1u) | (Bu+E2u) | (2Au+E1u+E2u) | (2Bu+E1u+E2u) | Ag+E1g | (Bg+E2g) | 2Ag+E1g+E2g | (2Bu+E1u+E2u) |
Bg | (Bu+E2u) | (Au+E1u) | (2Bu+E1u+E2u) | (2Au+E1u+E2u) | (Bg+E2g) | Ag+E1g | (2Bu+E1u+E2u) | 2Ag+E1g+E2g |
E1g | (2Au+E1u+E2u) | (2Bu+E1u+E2u) | (2Au+2Bu+3E1u+E2u) | (2Au+2Bu+E1u+3E2u) | 2Ag+E1g+E2g | (2Bu+E1u+E2u) | 2Ag+2Bg+3E1g+E2g | 2Ag+2Bg+E1g+3E2g |
E2g | (2Bu+E1u+E2u) | (2Au+E1u+E2u) | (2Au+2Bu+E1u+3E2u) | (2Au+2Bu+3E1u+E2u) | (2Bu+E1u+E2u) | 2Ag+E1g+E2g | 2Ag+2Bg+E1g+3E2g | 2Ag+2Bg+3E1g+E2g |
Au | Ag+E1g | (Bg+E2g) | 2Ag+E1g+E2g | (2Bu+E1u+E2u) | (Au+E1u) | (Bu+E2u) | (2Au+E1u+E2u) | (2Bu+E1u+E2u) |
Bu | (Bg+E2g) | Ag+E1g | (2Bu+E1u+E2u) | 2Ag+E1g+E2g | (Bu+E2u) | (Au+E1u) | (2Bu+E1u+E2u) | (2Au+E1u+E2u) |
E1u | 2Ag+E1g+E2g | (2Bu+E1u+E2u) | 2Ag+2Bg+3E1g+E2g | 2Ag+2Bg+E1g+3E2g | (2Au+E1u+E2u) | (2Bu+E1u+E2u) | (2Au+2Bu+3E1u+E2u) | (2Au+2Bu+E1u+3E2u) |
E2u | (2Bu+E1u+E2u) | 2Ag+E1g+E2g | 2Ag+2Bg+E1g+3E2g | 2Ag+2Bg+3E1g+E2g | (2Bu+E1u+E2u) | (2Au+E1u+E2u) | (2Au+2Bu+E1u+3E2u) | (2Au+2Bu+3E1u+E2u) |