By applying a transverse magnetic field B-perpendicular to of sufficient st
rength to the uniaxial molecular magnets Fe-8 and Mn-12, the tunneling spli
tting Delta (t) of their S = +/-10 magnetic ground states can be made large
compared to perturbations such as hyperfine and dipolar interactions. We p
resent evidence for such a Delta (t) from magnetic specific heat data below
1 K that is consistent with coherent quantum mechanical tunneling in a "me
soscopic" system under such conditions.