Specific heat measurements on free iron, cobalt and nickel clusters in diff
erent size ranges from 130 to 400 atoms are presented and the experimental
method is discussed in detail. These measurements are achieved in a Stem-Ge
rlach experiment where the magnetization of transition metal clusters refle
cts their vibrational temperature. Hence, it can be used as a thermometer a
fter a calibration procedure. The specific heat is measured by heating the
clusters in flight with a laser. In the temperature range of the experiment
(80-600 K), the main feature of the specific heat of Ni200-240 clusters is
abroad peak centered at T=340 K which adds to an approximately constant ba
seline of 6 cal/(mol K). We attribute this peak to a ferro- to paramagnetic
transition since its shape and area. are well described by the Weiss mean
field model. The specific heat of Co200-240 clusters does not show any prom
inent feature within the temperature range 80-900 K except a steady increas
e from 5.5 cal/(mol K) at T=300 K to 15 cal/(mol K) at T=900 K. In iron clu
sters, the specific heat exhibits a peak which is poorly described by a Wei
ss mean field theory. Furthermore, the specific heat value:of Fe250-290 clu
sters at room temperature is up to 50% lower than the Dulong-Petit value. W
e discuss the possibility that iron clusters undergo a-magnetic transition
between a high moment to a low moment state, which have different lattice p
arameters.