Electrical-resistivity measurements at temperatures between 1.2 and 30
0 K and pressures up to 12 kbar have been used to determine that the p
ressure dependence of the Curie temperature T(C) of the ferromagnetic
Heusler alloy Co2TiAl is -0.7 K/kbar. Analysis of the pressure depende
nce of T(c) in the Stoner-Wohlfarth theory of weak itinerant ferromagn
etism reveals the important role of spin fluctuations in this material
. Strong ferromagnetic ordering exists only in a limited range of near
est-neighbor cobalt-cobalt spacing in itinerant ferromagnets whose onl
y potentially magnetic species is Co. Observation of the lack of corre
lation between Curie temperature and intermoment cobalt spacing is com
bined with the results of high-pressure measurements to identify cobal
t Heusler alloys as examples of weak itinerant ferromagnets in which s
pin fluctuations are generically expected to make a significant contri
bution.