The magnetization and deflection profiles of magnetic clusters in a Stern-Gerlach magnet are calculated for conditions under which the magnetic moment is fixed in the intrinsic frame of the cluster, and the clusters enter the magnetic field adiabatically. The predicted magnetization is monotonic in the Langevin parameter, the ratio of magnetic energy {mu}{sub 0}B to thermal energy k{sub B}T. In low field the average magnetization is 2/3 of the Langevin function. The high-field moment approaches saturation asymptotically as B{sup {minus}1/2} instead of the B{sup {minus}1} dependence in the Langevin function.