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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 kinetic energy due to the electronic excitations of the target electrons and the path of their trajectory. This phenomenon is an important piece in many experimental techniques used in fundamental research on solids, surfaces and nanostructures. The complexity of describing the dynamic interaction between charged particles and solids has motivated a gargantuan amount of research both experimentally and by using computer simulations in the condensed matter community. Stopping power $\mathrm(S)$\cite{Ferrell_1977} is an important measurable quantity that describes mechanisms involved in ion-to-solid energy transfer processes. The theoretical models employed to study stopping of elementary charged particles in solids\cite{Bloch_1933}\cite{Bethe_1930}, has simulated this kind of study.  The velocity of a charged particle characterizes its stopping power in a given material. material(solid).  The type of excitation created in the material describes the stopping phenomenon produced. When the velocity of the projectile is high, the nuclei barely have enough time to interact with the charged particle hence less energy or momentum is transfered. 
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