The entropy change accompanying the removal of an applied magnetic fie
ld (i.e., the magnetocaloric effect) has been calculated for a system
of magnetic spins independent of each other and also clustered togethe
r into independently-acting magnetic particles. Mean-field-theory calc
ulations have also been made for interacting, single magnetic spins an
d also for interacting, magnetic particles. In both cases, there are f
ound temperature and field regimes where the entropy changes are large
r when the spins are coupled together into nanometer-sized magnetic pa
rticles. Entropy change data is shown for a new Gd3Ga5-xFexO12 (x less
-than-or-equal-to 2.5) magnetic nanocomposite confirming the calculati
ons and possessing magnetocaloric effects larger than the presently pr
eferred low temperature paramagnetic refrigerant, gadolinium gallium g
arnet.