Readjustment of the Bohr stopping force from energies of keV/n to a few tens of MeV/n ions in elemental targets

Abstract

An analytical approach for the electronic stopping force for non-relativistic energies that has no adjustable parameters has been developed. The approach combines the Bohr model for the close collisions and the Firsov model for the distant collisions. In order to combine the two models, a probabilistic model was introduced. We have applied our model to 16O in 12C, 16O in 27Al, 84 Kr in 27Al, 5Li in 12C, 12C in 12C, and 132Xe in 12C systems and compared with SRIM/MSTAR software, the original Bohr model, the Firsov model and available experimental data. We have found that the calculated electronic stopping force values are in agreement with the general qualitative behaviour of the electronic stopping force as a function of particle velocity reported in the literature. The proposed analytical formula is expected to be valid for other projectile-target combinations but more experimental data are needed to verify this assumption.