Using molecular-dynamics simulation, we study the crater volumes induced by
energetic impacts (v=1−250 km/s) of projectiles containing up to N=1000
atoms. We find that for Lennard-Jones bonded material the crater volume depends
solely on the total impact energy E. Above a threshold \Eth, the volume
rises linearly with E. Similar results are obtained for metallic materials.
By scaling the impact energy E to the target cohesive energy U, the crater
volumes become independent of the target material. To a first approximation,
the crater volume increases in proportion with the available scaled energy,
V=aE/U. The proportionality factor a is termed the cratering efficiency and
assumes values of around 0.5.Comment: 9 page