Recent work on the sizes of craters produced by ion impacts of solids has s
hown that the size of the crater scales with the inverse square of the cohe
sive energy. This observation is in contrast to the size of craters produce
d in macroscopic impacts, which scale directly with the inverse of the cohe
sive energy. It has relied on the assumption that the melting temperature i
s proportional to the cohesive energy. Using computer simulations, we now s
how that the size scales in fact with the inverse of the product of the mel
ting temperature and cohesive energy. This provides direct proof that the r
eason to the different behavior of macroscopic and ion-induced cratering is
flow of the liquid produced by the ions. (C) 2001 American Institute of Ph
ysics.