A classical theory of the deflection of a single-domain ferromagnetic
cluster in a Stern-Gerlach experiment is presented. Two cases are disc
ussed in detail: (1) superparamagnetic relaxation, in which the therma
l fluctuation of the cluster spin occurs on a time scale much smaller
than the transit time of the cluster through the Stem-Gerlach apparatu
s; and (2) anisotropy-induced relaxation, in which the cluster is suff
iciently isolated from the thermal bath during its transit through the
apparatus so that its dynamics is governed by the interaction of the
cluster spin with the anisotropic magnetic forces caused by the lattic
e and the shape of the cluster. Average spin orientation and average s
pin rocking during transit, as well as Stem-Gerlach intensity profiles
, are presented.