Temperature dependent magnetization measurements have been performed o
n both thick Cd1-xMnxTe layers and a CdTe/Cd1-xMnxTe superlattice grow
n by molecular beam epitaxy (MBE). The general behaviour of the thick
layers is similar to bulk-grown material, with a spin-glass state bein
g formed at low temperatures, but the magnitude of the high-temperatur
e susceptibilities differs significantly. This may be due to structura
l differences in the material grown by different methods. The layer wi
th the highest Mn fraction of x = 0.70 shows antiferromagnetic behavio
ur with a Neel temperature of 48 K. The superlattice structure contain
ing 100 angstrom thick layers of Cd0.55Mn0.45Te also showed a spin-gla
ss transition, but had an enhanced paramagnetic contribution to the su
sceptibility at low temperatures. This could be caused by the reductio
n in dimensionality or by an interface effect.