Symmetry Pages

Tetragonal: C4v (4mm) - Products

Symmetry Pages

Representation Products:

A1 A2 B1 B2 E
A1 A1 A2 B1 B2 E
A2 A2 A1 B2 B1 E
B1 B1 B2 A1 A2 E
B2 B2 B1 A2 A1 E
E E E E E A1+A2+B1+B2

Transition Products:

For the C4v point group, the irreducible representation of the dipole operator is A1+E. Transitions that are dipole forbidden are indicated by parentheses.

⊗(A1+E)⊗ A1 A2 B1 B2 E
A1 A1+E (A2+E) (B1+E) (B2+E) A1+A2+B1+B2+E
A2 (A2+E) A1+E (B2+E) (B1+E) A1+A2+B1+B2+E
B1 (B1+E) (B2+E) A1+E (A2+E) A1+A2+B1+B2+E
B2 (B2+E) (B1+E) (A2+E) A1+E A1+A2+B1+B2+E
E A1+A2+B1+B2+E A1+A2+B1+B2+E A1+A2+B1+B2+E A1+A2+B1+B2+E A1+A2+B1+B2+4E

Revised: © University of Newcastle upon Tyne, UK