Trigonal:D_3d(-3m) - Products

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Representation Products:

⊗	A1g	A2g	Eg	A1u	A2u	Eu
A1g	A1g	A2g	Eg	A1u	A2u	Eu
A2g	A2g	A1g	Eg	A2u	A1u	Eu
Eg	Eg	Eg	A1g+A2g+Eg	Eu	Eu	A1u+A2u+Eu
A1u	A1u	A2u	Eu	A1g	A2g	Eg
A2u	A2u	A1u	Eu	A2g	A1g	Eg
Eu	Eu	Eu	A1u+A2u+Eu	Eg	Eg	A1g+A2g+Eg

Transition Products:

For the D_3d 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	Eg	A1u	A2u	Eu
A1g	(A2u+Eu)	(A1u+Eu)	(A1u+A2u+2Eu)	(A2g+Eg)	A1g+Eg	A1g+A2g+2Eg
A2g	(A1u+Eu)	(A2u+Eu)	(A1u+A2u+2Eu)	A1g+Eg	(A2g+Eg)	A1g+A2g+2Eg
Eg	(A1u+A2u+Eu)	(A1u+A2u+Eu)	(2A1u+2A2u+4Eu)	A1g+A2g+Eg	A1g+A2g+Eg	2A1g+2A2g+4Eg
A1u	(A2g+Eg)	A1g+Eg	A1g+A2g+2Eg	(A2u+Eu)	(A1u+Eu)	(A1u+A2u+2Eu)
A2u	A1g+Eg	(A2g+Eg)	A1g+A2g+2Eg	(A1u+Eu)	(A2u+Eu)	(A1u+A2u+2Eu)
Eu	A1g+A2g+Eg	A1g+A2g+Eg	2A1g+2A2g+4Eg	(A1u+A2u+Eu)	(A1u+A2u+Eu)	(2A1u+2A2u+4Eu)

• D_3d character table
• D_3d correlation table