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\section{Introduction}  The study of the interaction of charged particles with matter has been a subject of extensive research for many years and represents an important quantity for many technological applications such as nuclear safety, applied material science, medical physics and fusion and fission applications\cite{Komarov_2013}\cite{Patel_2003}\cite{Caporaso_2009}\cite{Odette_2005}. When a slow ion moves through a solid, they lose it loses  kinetic energy due to the electronic excitations of the target electrons and the path of their its  trajectory.
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