Tetragonal: D4h (4/mmm) - Products

Irreducible Representation Products:

	A1g	A2g	B1g	B2g	Eg	A1u	A2u	B1u	B2u	Eu
A1g	A1g	A2g	B1g	B2g	Eg	A1u	A2u	B1u	B2u	Eu
A2g	A2g	A1g	B2g	B1g	Eg	A2u	A1u	B2u	B1u	Eu
B1g	B1g	B2g	A1g	A2g	Eg	B1u	B2u	A1u	A2u	Eu
B2g	B2g	B1g	A2g	A1g	Eg	B2u	B1u	A2u	A1u	Eu
Eg	Eg	Eg	Eg	Eg	A1g+A2g+B1g+B2g	Eu	Eu	Eu	Eu	A1u+A2u+B1u+B2u
A1u	A1u	A2u	B1u	B2u	Eu	A1g	A2g	B1g	B2g	Eg
A2u	A2u	A1u	B2u	B1u	Eu	A2g	A1g	B2g	B1g	Eg
B1u	B1u	B2u	A1u	A2u	Eu	B1g	B2g	A1g	A2g	Eg
B2u	B2u	B1u	A2u	A1u	Eu	B2g	B1g	A2g	A1g	Eg
Eu	Eu	Eu	Eu	Eu	A1u+A2u+B1u+B2u	Eg	Eg	Eg	Eg	A1g+A2g+B1g+B2g

Dipole Transition Products:

For the D_4h point group, the irreducible representation of the dipole operator is (A_2u+E_u). Transitions that are dipole forbidden are indicated by parentheses.

(A2u+Eu)	A1g	A2g	B1g	B2g	Eg	A1u	A2u	B1u	B2u	Eu
A1g	(A2u+Eu)	(A1u+Eu)	(B2u+Eu)	(B1u+Eu)	(A1u+A2u+B1u+B2u+Eu)	(A2g+Eg)	A1g+E	(B2g+Eg)	(B1g+Eg)	A1g+A2g+B1g+B2g+Eg
A2g	(A1u+Eu)	(A2u+Eu)	(B1u+Eu)	(B2u+Eu)	(A1u+A2u+B1u+B2u+Eu)	A1g+E	(A2g+Eg)	(B1g+Eg)	(B2g+Eg)	A1g+A2g+B1g+B2g+Eg
B1g	(B2u+Eu)	(B1u+Eu)	(A2u+Eu)	(A1u+Eu)	(A1u+A2u+B1u+B2u+Eu)	(B2g+Eg)	(B1g+Eg)	(A2g+Eg)	A1g+E	A1g+A2g+B1g+B2g+Eg
B2g	(B1u+Eu)	(B2u+Eu)	(A1u+Eu)	(A2u+Eu)	(A1u+A2u+B1u+B2u+Eu)	(B1g+Eg)	(B2g+Eg)	A1g+E	(A2g+Eg)	A1g+A2g+B1g+B2g+Eg
Eg	(A1u+A2u+B1u+B2u+Eu)	(A1u+A2u+B1u+B2u+Eu)	(A1u+A2u+B1u+B2u+Eu)	(A1u+A2u+B1u+B2u+Eu)	(A1u+A2u+B1u+B2u+4Eu)	A1g+A2g+B1g+B2g+Eg	A1g+A2g+B1g+B2g+Eg	A1g+A2g+B1g+B2g+Eg	A1g+A2g+B1g+B2g+Eg	A1g+A2g+B1g+B2g+4Eg
A1u	(A2g+Eg)	A1g+E	(B2g+Eg)	(B1g+Eg)	A1g+A2g+B1g+B2g+Eg	(A2u+Eu)	(A1u+Eu)	(B2u+Eu)	(B1u+Eu)	(A1u+A2u+B1u+B2u+Eu)
A2u	A1g+E	(A2g+Eg)	(B1g+Eg)	(B2g+Eg)	A1g+A2g+B1g+B2g+Eg	(A1u+Eu)	(A2u+Eu)	(B1u+Eu)	(B2u+Eu)	(A1u+A2u+B1u+B2u+Eu)
B1u	(B2g+Eg)	(B1g+Eg)	(A2g+Eg)	A1g+E	A1g+A2g+B1g+B2g+Eg	(B2u+Eu)	(B1u+Eu)	(A2u+Eu)	(A1u+Eu)	(A1u+A2u+B1u+B2u+Eu)
B2u	(B1g+Eg)	(B2g+Eg)	A1g+E	(A2g+Eg)	A1g+A2g+B1g+B2g+Eg	(B1u+Eu)	(B2u+Eu)	(A1u+Eu)	(A2u+Eu)	(A1u+A2u+B1u+B2u+Eu)
Eu	A1g+A2g+B1g+B2g+Eg	A1g+A2g+B1g+B2g+Eg	A1g+A2g+B1g+B2g+Eg	A1g+A2g+B1g+B2g+Eg	A1g+A2g+B1g+B2g+4Eg	(A1u+A2u+B1u+B2u+Eu)	(A1u+A2u+B1u+B2u+Eu)	(A1u+A2u+B1u+B2u+Eu)	(A1u+A2u+B1u+B2u+Eu)	(A1u+A2u+B1u+B2u+4Eu)

• D_4h character table
• D_4h correlation table

• Symmetry pages index
• Categorisation by symmetry operations or by unit cell parameters
• Correlation table index
• 3D objects
• Stereographs
• A brief description of tables

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