The NMR signals of 113Cd have been observed in powder samples of the cadmium halides CdF,, CdCl2, CdBr2 '4H20, Cdl 2 , of the cadmium chalcogenides CdO, CdS, CdSe, CdTe and of CdC03 . For m C d in CdCl2 , CdBr2-4H20, CdS and in CdSe anisotropics of the nuclear magnetic shielding have been detected. The shielding tensor in these powders is axially symmetric. For the other specimens no anisotropi...