State Symmetry in and

Wigner and Witmer s [5] characterization of the electronic states of diatomic molecules marked the triumphant entry of group theory into the field of molecular structure. It was focused primarily on considerations of angular momentum, which we have managed to sidestep almost completely thus far in the book by artificially reducing spherical or cylindrical symmetry to Thus, the cr 

In the Character Table of D2h we find four representations that are symmetric under (twofold) rotation about the z axis, and can thus be related to 

The restriction to commutative groups is being maintained temporarily but it is not a neccesary condition closed shell configurations are totally symmetric in non-commutative groups as well. 

This is the pedestrian equivalent of Hurley s [6] subduct ion of a simply subducible group by a commutative subgroup. 

We postpone facing the complication that it can also be related to A. 

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