The fission mechanism of multiply charged sodium clusters was investig
ated with molecular dynamics and a new potential featuring a local den
sity approximation second-moment approach. We show that the critical s
ize at which 2+, 3+ and 4+ charged clusters undergo fission due to Cou
lomb forces depends strongly on the cluster temperature. The smallest
critical sizes occur for cold clusters. Master curves predicting upper
bounds to the cluster temperature at the fissioning critical size are
provided. A scaling of the cluster ion critical size with a power law
of the total charge is used to predict the energy barrier that sodium
clusters need to surmount to undergo fission. (C) 1997 Elsevier Scien
ce B.V.