The effect of a magnetic field B-perpendicular to on the resonant tunneling
between different magnetic states of the molecular clusters Fe-8 and Mn-12
has been studied by measuring the magnetic specific heat of these compound
s between 0.1 K and 6 K. At zero field, we have shown that tunneling procee
ds via excited levels and found which states contribute most to quantum tun
neling in Fe-8. As B-perpendicular to increases, the superparamagnetic bloc
king temperature decreases, thus indicating that tunneling proceeds through
progressively lower lying excited levels. At high enough fields, incoheren
t tunneling is observed to proceed through the ground state, at rates faste
r than 1 s(-1), For still higher fields, the tunnel splitting Delta (t) of
their m =+/- 10 magnetic ground states can be made large compared to pertur
bations such as hyperfine and dipolar interactions, Under those conditions,
the equilibrium specific heat measured at the lowest temperature gives evi
dence for the presence of a Delta (t), thus showing that coherent quantum m
echanical tunneling can occur in these "mesoscopic" systems. For Mn-12 the
dissipation caused by the hyperfine interaction between the electronic and
nuclear Mn spins has been studied in detail.