Non-crystalographic: I - Products

Irreducible Representation Products:

product A T₁ T₂ G H

A A T₁ T₂ G H

T₁ T₁ A+T₁+H G+H T₂+G+H T₁+T₂+G+H

T₂ T₂ G+H A+T₂+H T₁+G+H T₁+T₂+G+H

G G T₂+G+H T₁+G+H A+T₁+T₂+G+H T₁+T₂+G+2H

H H T₁+T₂+G+H T₁+T₂+G+H T₁+T₂+G+2H A+T₁+T₂+2G+2H

Dipole Transition Products:

For the I point group, the irreducible representation of the dipole operator is T₁. Transitions that are dipole forbidden are indicated by parentheses.

product T₁ product A T₁ T₂ G H

A (T₁) A+T₁+H (G+H) (T₂+G+H) (T₁+T₂+G+H)

T₁ A+T₁+H A+3T₁+T₂+G+2H (T₁+2T₂+2G+2H) (T₁+2T₂+3G+3H) A+2T₁+2T₂+3G+4H

T₂ (G+H) (T₁+2T₂+2G+2H) (2T₁+T₂+2G+2H) A+2T₁+2T₂+2G+3H A+2T₁+2T₂+3G+4H

G (T₂+G+H) (T₁+2T₂+3G+3H) A+2T₁+2T₂+2G+3H A+3T₁+2T₂+3G+4H A+3T₁+3T₂+4G+5H

H (T₁+T₂+G+H) A+2T₁+2T₂+3G+4H A+2T₁+2T₂+3G+4H A+3T₁+3T₂+4G+5H A+4T₁+4T₂+5G+6H

I character table

Symmetry pages index
Categorisation by symmetry operations or by unit cell parameters
Correlation table index
3D objects
Stereographs
A brief description of tables

	A	T₁	T₂	G	H
A	A	T₁	T₂	G	H
T₁	T₁	A+T₁+H	G+H	T₂+G+H	T₁+T₂+G+H
T₂	T₂	G+H	A+T₂+H	T₁+G+H	T₁+T₂+G+H
G	G	T₂+G+H	T₁+G+H	A+T₁+T₂+G+H	T₁+T₂+G+2H
H	H	T₁+T₂+G+H	T₁+T₂+G+H	T₁+T₂+G+2H	A+T₁+T₂+2G+2H

Non-crystalographic: I - Products

Irreducible Representation Products:

Dipole Transition Products:

Last modified: Fri Oct 13 14:11:54 BST 2000 by JPG (goss@excc.ex.ac.uk) V A

Last modified: Fri Oct 13 14:11:54 BST 2000 by JPG (goss@excc.ex.ac.uk)
V A