Abstract: A numerical Program is described. It can display the transport process of ions and the correspond cascade process in solids. It includes principle, physical models, calculation procedure and the range used. A newest nuclear scattering cross-section is used in this program. The Cub-Spline interpolation method is also used in order to raise calculation speed and precision. Some calculation results are given such as the range distribution, energy deposition, radiation damage distribution in semi-infinite medium by included ions with different energy.

Key words: atomic collision, harmonic function, Lax-Wendroff differencing scheme