University of Exeter

Tetragonal: C4h (4/m) - Products

Exeter Symmetry Pages

Irreducible Representation Products:

product Ag Bg Eg Au Bu Eu
Ag Ag Bg Eg Au Bu Eu
Bg Bg Ag Eg Bu Au Eu
Eg Eg Eg Ag+Bg+Eg Eu Eu Au+Bu+Eu
Au Au Bu Eu Ag Bg Eg
Bu Bu Au Eu Bg Ag Eg
Eu Eu Eu Au+Bu+Eu Eg Eg Ag+Bg+Eg

Dipole 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.

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