The Z distributions of fragments emitted from central collisions of Ar
-40 + Sc-45 at beam energies from 15 to 115 MeV/nucleon have been fitt
ed to power laws sigma(Z) is-proportional-to Z(-lambda). The lambda pa
rameter reaches a minimum at a beam energy of 23.9 +/- 0.7 MeV/nucleon
. A percolation model calculation reproduces the observed Z distributi
ons for all beam energies, using the mean excitation energy as extract
ed from proton kinetic energy spectra. We extract the critical value o
f the deposited excitation energy for our system and make predictions
for the dependence of this quantity on the size of the fragmenting sys
tem.