### A Theoretical Study of Stopping Power and Range For Low Energy (<3.0mev) Protons In Aluminium, Germanium, Lead, Gold and Copper Solid Materials

#### Abstract

A new empirical relation was obtained by modifying an empirical relation deduced by Chaubey (1977) based on Bohr’s classical mechanics by using least squared fitting method for stopping powers from 0.20MeV to 2.90MeV protons in Aluminium (Al), Germanium (Ge), Lead (Pb), Gold (Au) and Copper (Cu) solid target materials and the results compared with some available experimental values and earlier investigations as well as PSTAR and SRIM (2013) results. The proton range relation was obtained by directly integrating the stopping power formula and the values of the ranges for the elements are calculated and compared with PSTAR and Janni (1982) values. The calculated stopping powers and range values were in excellent agreement with the experimental values of Bichsel since the percentage uncertainty was within 10% and the theoretical values of Janni (1982) and, the PSTAR and SRIM-2013 codes generated values had the percentage difference approximately within 10%. The cross section was also calculated and the results discussed. The practical applications of the stopping power, range and cross section values of the selected materials are discussed.

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DOI: https://doi.org/10.23954/osj.v2i2.982

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