Abstract:The single and spinor representations of the space groups D 4italich17 ‐ D 4italich20 are found by using the abstract definition of the group.
The projection operators method of constructing the Symmetrized Plane Waves (SPWs) for the space groups is briefly described. The tables of the SPWs for the groups D174h — D204h at four points of high symmetry are then given.
The projection operators method of constructing the Symmetrized Plane Waves (SPWs) for the space groups is briefly described. The tables of the SPWs for the groups D174h — D204h at four points of high symmetry are then given.
Es wird ein Verfahren beschrieben, wie man aus den Strahldarstellungen der kristallographischen Punktgruppen die irreduziblen Darstellungen der Raumgruppen findet. Diese Methode läßt sich ebenso auf die doppelten Raumgruppen anwenden. Da man hierbei die Strahldarstellungen der doppelten kristallographischen Punktgruppen braucht, werden sämtliche voneinander verschiedene Strahldarstellungen dieser Gruppen aufgestellt.
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