Range-energy relation for Au ions,E/A≤150MeV

The range-energy (RE) relations for Au ions in CH and Au in the energy interval 10≤E/A≤150 MeV are reported. Bevalac beams of ${\mathrm{Au}}^{61+}$, ${\mathrm{Au}}^{35+}$, and ${\mathrm{Au}}^{11+}$ at E/A=50 MeV were used to investigate the dependence of dE/dx, hence effective charge $z^{\mathrm{*}}$, of Au ions in matter as a function of target material and initial charge of incident Au ions. The essential finding of this experiment is that the measured ranges of the Au ions are typically within 2% of those predicted by the Barkas-Berger RE relation. The experimental RE relations for Au in CH and Au can also be reproduced with equal precision by assuming that dE/dx is given by the product of the rate of energy loss for protons and an empirically derived expression for $z^{\mathrm{*}2}$, each quantity being dependent on the target material, via the adjusted ionization potential $I_{\mathrm{adj}}$ and the velocity β of the ion.