University of Exeter

Non-crystalographic: D5 - Products

Exeter Symmetry Pages

Irreducible Representation Products:

product A1 A2 E1 E2
A1 A1 A2 E1 E2
A2 A2 A1 E1 E2
E1 E1 E1 A1+A2+E2 E1+E2
E2 E2 E2 E1+E2 A1+A2+E2

Dipole Transition Products:

For the D5 point group, the irreducible representation of the dipole operator is (A2+E1). Transitions that are dipole forbidden are indicated by parentheses.

product(A2+E1)product A1 A2 E1 E2
A1 (A2+E1) A1+E1 A1+A2+E1+E2 (E1+2E2)
A2 A1+E1 (A2+E1) A1+A2+E1+E2 (E1+2E2)
E1 A1+A2+E1+E2 A1+A2+E1+E2 A1+A2+3E1+2E2 A1+A2+2E1+3E2
E2 (E1+2E2) (E1+2E2) A1+A2+2E1+3E2 A1+A2+3E1+2E2