Siegel der Universität

Universität zu Köln
Mathematisch-Naturwissenschaftliche Fakultät
Fachgruppe Physik

I. Physikalisches Institut


Printer-friendly versionPDF version

Molecular Symmetry


The usual rotation group, SO(3), is conveniently used to describe the symmetry of the rotational wave functions of molecules. Internal rotation, on the other hand, is described by SO(2) symmetry since the rotation axis is fixed with respect to the rigid framework. Combining these two motions leads to the formulation in a five-dimensional rotational symmetry group SO(5). Applied to the example of CH5+, this group is capable of describing the permutation symmetry elements of the molecular symmetry group in terms of five-dimensional rotations. We showed that an "equivalent rotation" treatment is actually impossible in three dimensions implying a conventional description of the molecular wave functions in terms of rotational wave functions to fail. ...more

Related projects