Quantum Mechanical Model of Electronic Stopping Power for Ions in a Free Electron Gas

The electronic stopping power of a free electron gas on a moving charged particle (ion) in a solid is analyzed in the coordinate system moving with the charged particle. By quantum mechanically treating the momentum transfer between the charged particle and the electron gas, explicit analytic expressions for electronic stopping have been derived for ions of all energies in the nonrelativistic regime. The explicit result reduces to well-known results at both high and low ion energies.