A detailed study has been undertaken of the muon Knight shift in high
purity antimony single crystals. No periodic variations with magnetic
field (de Haas-van Alphen oscillations) are observed. The temperature
dependence below 175 K is close to that expected for a Kondo-like impu
rity with an anisotropic muon-electron hyperfine interaction. At highe
r temperatures the paramagnetic state becomes unstable and a transitio
n occurs to a second state. The longitudinal relaxation rate rises fro
m an apparently non-zero value at T = 0 to a maximum at 50 K, followed
by a slow decline. This leads to a Korringa product which is strongly
temperature dependent.