Molecular beam deflection measurements of small iron, cobalt, and nick
el clusters show how magnetism develops as the cluster size is increas
ed from several fens to several hundreds of atoms for temperatures fro
m 80 and 1000 K. Cluster magnetization is found to be superparamagneti
c for rotationally warm clusters, where it follows the Langevin functi
on. The magnetization of rotationally cold clusters is anomalous: it i
s strongly reduced and nonlinear with the applied field. For superpara
magnetic clusters, the magnetic moments can be determined from the mag
netization. We find that ferromagnetism occurs even for the smallest s
izes: for clusters with less than about 30 atoms the magnetic moments
are atom-like and as the size is increased up to 700 atoms they approa
ch the bulk limit, with oscillations probably caused by surface-induce
d spin-density waves. The trends are explained in a magnetic shell mod
el. The magnetic properties of iron cluster show anomalies, suggesting
that a high moment to low moment crystallographic phase transition in
Fe clusters occurs at relatively low temperatures.