University of Exeter

Orthorhombic: D2h (mmm) - Products

Exeter Symmetry Pages

Irreducible Representation Products:

product 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

Dipole 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.

product(B1u+B2u+B3u)product 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)

Last modified: Fri Oct 6 16:30:53 BST 2000 by JPG (goss@excc.ex.ac.uk)
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