Cubic: T_h (m3) - Products

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Representation Products:

⊗	Ag	Eg	Tg	Au	Eu	Tu
Ag	Ag	Eg	Tg	Au	Eu	Tu
Eg	Eg	2Ag+Eg	2Tg	Eu	2Au+Eu	2Tu
Tg	Tg	2Tg	Ag+Eg+2Tg	Tu	2Tu	Au+Eu+2Tu
Au	Au	Eu	Tu	Ag	Eg	Tg
Eu	Eu	2Au+Eu	2Tu	Eg	2Ag+Eg	2Tg
Tu	Tu	2Tu	Au+Eu+2Tu	Tg	2Tg	Ag+Eg+2Tg

Transition Products:

For the T_h point group, the irreducible representation of the dipole operator is T_u. Transitions that are dipole forbidden are indicated by parentheses.

⊗Tu⊗	Ag	Eg	Tg	Au	Eu	Tu
Ag	(Tu)	(2Tu)	(Au+Eu+2Tu)	(Tg)	(2Tg)	Ag+Eg+2Tg
Eg	(2Tu)	(4Tu)	(2Au+2Eu+4Tu)	(2Tg)	(4Tg)	2Ag+2Eg+4Tg
Tg	(2Au+2Eu+4Tu)	(2Au+2Eu+4Tu)	(2Au+2Eu+7Tu)	2Ag+2Eg+4Tg	2Ag+2Eg+4Tg	2Ag+2Eg+7Tg
Au	(Tg)	(2Tg)	Ag+Eg+2Tg	(Tu)	(2Tu)	(Au+Eu+2Tu)
Eu	(2Tg)	(4Tg)	2Ag+2Eg+4Tg	(2Tu)	(4Tu)	(2Au+2Eu+4Tu)
Tu	2Ag+2Eg+4Tg	2Ag+2Eg+4Tg	2Ag+2Eg+7Tg	(2Au+2Eu+4Tu)	(2Au+2Eu+4Tu)	(2Au+2Eu+7Tu)

• T_h character table