Symmetry Pages

Cubic: Th (m3) - Products

Symmetry Pages

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 Th point group, the irreducible representation of the dipole operator is Tu. 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)

Revised: © University of Newcastle upon Tyne, UK