Symmetry Pages

Tetragonal: C4h (4/m) - Products

Symmetry Pages

Representation Products:

Ag Bg Eg Au Bu Eu
Ag Ag Bg Eg Au Bu Eu
Bg Bg Ag Eg Bu Au Eu
Eg Eg Eg 2Ag+2Bg Eu Eu 2Au+2Bu
Au Au Bu Eu Ag Bg Eg
Bu Bu Au Eu Bg Ag Eg
Eu Eu Eu 2Au+2Bu Eg Eg 2Ag+2Bg

Transition Products:

For the C4h point group, the irreducible representation of the dipole operator is Au+Eu. Transitions that are dipole forbidden are indicated by parentheses.

⊗(Au+Eu)⊗ Ag Bg Eg Au Bu Eu
Ag (Au+Eu) (Bu+Eu) (2Au+2Bu+Eu) Ag+Eg (Bg+Eg) 2Ag+2Bg+Eg
Bg (Bu+Eu) (Au+Eu) (2Au+2Bu+Eu) (Bg+Eg) Ag+Eg 2Ag+2Bg+Eg
Eg (2Au+2Bu+Eu) (2Au+2Bu+Eu) (2Au+2Bu+4Eu) 2Ag+2Bg+Eg 2Ag+2Bg+Eg 2Ag+2Bg+4Eg
Au Ag+Eg (Bg+Eg) 2Ag+2Bg+Eg (Au+Eu) (Bu+Eu) (2Au+2Bu+Eu)
Bu (Bg+Eg) Ag+Eg 2Ag+2Bg+Eg (Bu+Eu) (Au+Eu) (2Au+2Bu+Eu)
Eu 2Ag+2Bg+Eg 2Ag+2Bg+Eg 2Ag+2Bg+4Eg (2Au+2Bu+Eu) (2Au+2Bu+Eu) (2Au+2Bu+4Eu)

Revised: © University of Newcastle upon Tyne, UK