Abstract
The Knight shift of the positive muon in simple metals is calculated self-consistently including both the contact spin-density term and the diamagnetic shielding. The lattice potential is described in the spherical-solid model. A systematic behavior as a function of rs and the valency of the host metal is found in good agreement with the experimental results. The effects of the lattice relaxation and the muon zero-point motion are estimated. The Knight shifts for muons trapped at lattice vacancies are predicted.