Statistical fragmentation can give valuable information on the internal str
ucture of clusters due to the:strong dependence of the evaporation rate on
the activation energy for the process. In particular, the abundances in an
ensemble of hot clusters will reflect the relative stabilities of the indiv
idual species. We derive the relation between evaporative activation energi
es and relative abundances for large clusters. Quantitative criteria for th
e applicability of the theory are derived and the analytical results an com
pared with numerical simulations. [S1050-2947(99)05208-7].