We have studied the freezing and melting of a number of cryogenic flui
ds (hydrogen, neon, oxygen, and argon) confined in porous glasses (Vyc
or and a silica xerogel). ac heat-capacity measurements show broadened
latent-heat peaks associated with both freezing and melting at temper
atures substantially below the bulk melting temperatures. Thermal cycl
ing shows pronounced hysteresis, with melting occurring at a higher te
mperature than freezing. Also, the latent heat of freezing appears to
be much smaller than that of melting. The hysteresis in the argon-Vyco
r system was studied in detail using high-resolution ultrasonic techni
ques which directly probe the shear modulus of the material in the por
es. We found that the onset of freezing is extremely sharp, despite th
e random pore geometry, and that freezing continues over a range of te
mperatures. The freezing process is extremely irreversible, in the sen
se that, once the solid appears, subsequent warming does not cause it
to melt until a much higher temperature. This is true even if only a s
mall fraction of the fluid is initially frozen. The melting branch of
the hysteresis loop is more nearly reversible. In order to correctly m
easure the latent heat of freezing in the presence of such hysteresis,
a technique should be used in which cooling is performed monotonicall
y, for example, thermal relaxation or differential scanning calorimetr
y.