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Representation Products:
⊗ |
Ag |
B1g |
B2g |
B3g |
Au |
B1u |
B2u |
B3u |
Ag |
Ag |
B1g |
B2g |
B3g |
Au |
B1u |
B2u |
B3u |
B1g |
B1g |
Ag |
B3g |
B2g |
B1u |
Au |
B3u |
B2u |
B2g |
B2g |
B3g |
Ag |
B1g |
B2u |
B3u |
Au |
B1u |
B3g |
B3g |
B2g |
B1g |
Ag |
B3u |
B2u |
B1u |
Au |
Au |
Au |
B1u |
B2u |
B3u |
Ag |
B1g |
B2g |
B3g |
B1u |
B1u |
Au |
B3u |
B2u |
B1g |
Ag |
B3g |
B2g |
B2u |
B2u |
B3u |
Au |
B1u |
B2g |
B3g |
Ag |
B1g |
B3u |
B3u |
B2u |
B1u |
Au |
B3g |
B2g |
B1g |
Ag |
Transition Products:
For the D2h point group, the irreducible representation of the dipole operator is B1u+B2u+B3u. Transitions that are dipole forbidden are indicated by parentheses.
⊗(B1u+B2u+B3u)⊗ |
Ag |
B1g |
B2g |
B3g |
Au |
B1u |
B2u |
B3u |
Ag |
(B1u+B2u+B3u) |
(Au+B2u+B3u) |
(Au+B1u+B3u) |
(Au+B1u+B2u) |
(B1g+B2g+B3g) |
Ag+B2g+B3g |
Ag+B1g+B3g |
Ag+B1g+B2g |
B1g |
(Au+B2u+B3u) |
(B1u+B2u+B3u) |
(Au+B1u+B2u) |
(Au+B1u+B3u) |
Ag+B2g+B3g |
(B1g+B2g+B3g) |
Ag+B1g+B2g |
Ag+B1g+B3g |
B2g |
(Au+B1u+B3u) |
(Au+B1u+B2u) |
(B1u+B2u+B3u) |
(Au+B2u+B3u) |
Ag+B1g+B3g |
Ag+B1g+B2g |
(B1g+B2g+B3g) |
Ag+B2g+B3g |
B3g |
(Au+B1u+B2u) |
(Au+B1u+B3u) |
(Au+B2u+B3u) |
(B1u+B2u+B3u) |
Ag+B1g+B2g |
Ag+B1g+B3g |
Ag+B2g+B3g |
(B1g+B2g+B3g) |
Au |
(B1g+B2g+B3g) |
Ag+B2g+B3g |
Ag+B1g+B3g |
Ag+B1g+B2g |
(B1u+B2u+B3u) |
(Au+B2u+B3u) |
(Au+B1u+B3u) |
(Au+B1u+B2u) |
B1u |
Ag+B2g+B3g |
(B1g+B2g+B3g) |
Ag+B1g+B2g |
Ag+B1g+B3g |
(Au+B2u+B3u) |
(B1u+B2u+B3u) |
(Au+B1u+B2u) |
(Au+B1u+B3u) |
B2u |
Ag+B1g+B3g |
Ag+B1g+B2g |
(B1g+B2g+B3g) |
Ag+B2g+B3g |
(Au+B1u+B3u) |
(Au+B1u+B2u) |
(B1u+B2u+B3u) |
(Au+B2u+B3u) |
B3u |
Ag+B1g+B2g |
Ag+B1g+B3g |
Ag+B2g+B3g |
(B1g+B2g+B3g) |
(Au+B1u+B2u) |
(Au+B1u+B3u) |
(Au+B2u+B3u) |
(B1u+B2u+B3u) |
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