  The theory of the surface-induced anisotropy is extended to the case of
granular films of dilute magnetic alloys. Since the surface-induced blocking of
a magnetic-impurity spin appears to be very sensitive to the specific
polycrystalline structure, we speculate that the apparent discrepancy between
the experimental results of different groups for the size dependence of the
Kondo resistivity can be linked to different microstructure of the samples. We
apply our model to calculate the magnetization of impurity spins in small AuFe
grains and to interpret the experimental data on the anomalous Hall effect in
thin Fe doped Au films.
