Empirical formula and computer code for the range of charged particles with Z=2-103 and E=2.5-500 AMeV in aluminum

The aim of this work is to update the coefficients of our empirical formula as a tool for quickly and better estimating the stopping range of different charged particles ranging in Z = 2 - 103 at various energies from 2.5 to 500 AMeV in aluminum material. A graphical-user-interface computer code (SRC v1.0) was also programmed to execute the calculation based on the empirical model. The reliability of the common computer codes, SRIM2013 and ATIMA, was examined together with the empirical formula by comparing the computed results to the experimental data evaluated by Hubert et al. (Atom Data Nucl Data Tables 46:1–213, 1990) for the practical use. The ranges based on the empirical model computed using the self-developed SRC code with the updated coefficients are in an excellent agreement with the experimental data and better than those computed using the SRIM2013 and ATIMA codes. The maximum deviation of the empirical model from the evaluated measured database is only 3% while it is about 10% (or 15%) for the SRIM2013 (or ATIMA) code. The results of the present study are useful for radiation shielding and nuclear experiments at radioactive-isotope accelerator facilities.