[en] Recently first results have been reported on the muon Knight shift in high purity (6N) spherical single crystals of Cd and Zn. These measurements, using a stroboscopic μSR-technique are extensions of earlier μ⁺ Knigth shift measurements in nontransition metals in which the positive muon is used as a hydrogen substitute in the study of its local electronic structure in an metal invironment. Since the solubility of hydrogen in these metals is generally very small, no proton-NMR measurements have ever been performed in this class of metals. To the extent that the mass difference between the proton and the muon is neglected the local electronic structure of the proton and the muon are the same. Actually isotope effects may be present. The metals Zn and Cd, close to the transition metal series, have a more complicated electronic structure and a hcp crystal structure giving rise to various anisotropic properties. In the present contribution the old and some new results are reported. (orig.)