We report the magnetization behavior of single-crystal epitaxial films
of Er lattice matched to YxLu1-x alloy substrates. As the Er is large
ly strain-free, the main epitaxial constraint on its ferromagnetic tra
nsition arises solely from the interaction of the magnetostriction wit
h the clamping effect of epitaxy. We observe large modifications of th
e magnetic behavior which establish that the clamping effect is large.
The very different epitaxial behaviors of Dy and Er are explained in
terms of accessible domain structure.