University of Exeter

Trigonal: D3 (3m) - Products

Exeter Symmetry Pages

Irreducible Representation Products:

product A1 A2 E
A1 A1 A2 E
A2 A2 A1 E
E E E A1+A2+E

Dipole Transition Products:

For the D3 point group, the irreducible representation of the dipole operator is A2+E. Transitions that are dipole forbidden are indicated by parentheses.

product(A2+E)product A1 A2 E
A1 (A2+E) A1+E A1+A2+2E
A2 A1+E (A2+E) A1+A2+2E
E A1+A2+2E A1+A2+2E 2A1+2A2+4E