A method is given for the determination of Clebsch-Gordan coefficients of finite groups. The Clebsch-Gordan coefficients may be arranged into vectors which are eigenvectors of certain projection matrices. It is shown how an appropriate set of orthonormal eigenvectors of these matrices may be obtained; this set gives then a unitary matrix of Clebsch-Gordan coefficients. The symmetry properties of these Clebsch-Gordan coefficients are studied with special emphasis on the crystallographic space groups.Es wird eine Methode angegeben zur Bestimmung der Clebsch-Gordan-Koeffizienten endlicher Gruppen. Die Clebsch-Gordan-Koeffizienten konnen in Vektoren, welche Eigenvektoren von bestimmten Matrizen sind, geordnet werden. Es wird gezeigt, wie man einen geeigneten Satz orthonormaler Eigenvektoren von diesen Matrizen bestimmen kann; diese Eigenvektoren bilden eine unitire Matrix von Clebsch-Gordan-Koeffizienten. Die Symmetrieeigenschaften dieser Clebsch-Gordan-Koeffizienten werden insbesondere fur die kristallographischen Raumgruppen untersucht.
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