Extraction of shell corrections from Born-approximation stopping-power calculations in A1

From an extensive set of Born-approximation calculations on the proton stopping power of atomic A1, I attempt to extract the inner-shell corrections of Bethe stopping-power theory. Analysis of the subshell calculations produces a leading term consistent with the expected behavior, and a Bethe mean excitation energy ($I$) slightly larger (132 eV) than that obtained by summing over optical oscillator strengths (124 eV). The inner-shell corrections found by this analysis are larger than those used earlier, but consistent with measured values in the 4-8-MeV region.