University of Exeter

Trigonal: C3h (-6) - Products

Exeter Symmetry Pages

Irreducible Representation Products:

product A' E' A'' E''
A' A' E' A'' E''
E' E' 2A'+E' E'' 2A''+E''
A'' A'' E'' A' E'
E'' E'' 2A''+E'' E' 2A'+E'


Dipole Transition Products:

For the C3h point group, the irreducible representation of the dipole operator is (A''+E'). Transitions that are dipole forbidden are indicated by parentheses.

product(A''+E')product A' E' A'' E''
A' (A''+E') 2A'+E'+E'' A'+E'' (2A''+E'+E'')
E' 2A'+E'+E'' 2A'+2A''+3E'+E'' (2A''+E'+E'') 2A'+2A''+E'+3E''
A'' A'+E' (2A''+E'+E'') (A''+E') 2A'+E'+E''
E' (2A''+E'+E'') 2A'+2A''+E'+3E'' 2A'+E'+E'' 2A'+2A''+3E'+E''