Most magnets have long-range magnetic order when the thermal energy is
less than the local magnetic exchange energy (T<\Theta(CW)). Effects
such as reduced dimensionality and frustration, however, can suppress
the ordering transition and lead to unusual cooperative paramagnetic p
hases at low temperatures. We review neutron scattering experiments ex
ploring such short-range-ordered phases in insulating transition metal
oxides. We discuss (V1-xCrx)(2)O-3, in which orbital fluctuations app
ear to limit spin correlations to within small ''molecular'' clusters,
SrCr9pGa12-9pO19, in which geometrical frustration allows local antif
erromagnetic constraints to be fulfilled without long,ranged order, an
d Y2BaNiO5, in which magnetic interactions occur only within chains of
spins which,are unable to order because of the Haldane effect. Emphas
is is placed on the common features of exchange interactions in these
oxides and the important role which magnetic neutron scattering has pl
ayed in understanding the unusual magnetic phenomena. (C) 1996 America
n Institute of Physics.