The proportionality of the giant magnetoresistance (MR) to (cos theta)
(2), where theta is the angle between the local magnetization and the
applied field, was tested in granular Ag-Co (20 at.%) thin films. The
assumption that (cos theta)(2)=(M/Ms)(2) does not give a linear relati
on. To deduce the granule size distribution, magnetization data for th
e superparamagnetic state were fitted using a set of Langevin function
s on a granule size histogram. Assuming that the scattering rate is pr
oportional to the surface area of each granule in such a system and th
at the granules are spherical, we weight the average of cos theta in t
he size distribution by the surface area. If granules containing more
than 900 Co atoms are ignored when determining the average value of co
s theta: the MR varies linearly with this quantity, which is denoted a
s (cos theta)(2)(sur.av). We suggest that the surface roughness enhanc
es the contribution of smaller granules to the MR.