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\section{Introduction}  The study of the interaction of charged particles with matter has been a subject of extensive research over last few decades; it findings provide precise information 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, it loses kinetic energy due to the electronic excitations of the target electrons and the path of their trajectory. This is an important a  phenomenon which plays an important role in many experimental studies involving solids, surfaces and nanostructures. The complexity of describing the dynamic interaction between charged particles and solids has initiated a gargantuan large  amount of research both experimentally and and theoretically; in the latter the condensed matter community have initiated sophisticated computer simulation techniques with great success. Among the many measurable quantity the stopping power $\mathrm(S)$\cite{Ferrell_1977} has enjoyed much uses; it provided details information regarding the energy transfer between the incoming projectile and the solid target. 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 dependency of the stopping cross sections was reported earlier by Firsov {\em et al} [6] and Lindhard {\em et al} \cite{Lindhard_1961}\cite{Sugiyama_1981} [7]. They have shown that there is a linear dependency of the electronic stopping power with the projectile velocity. In the low energy region, electron capture remains the most dominating process for the energy loss. But for metal the energy loss is due to the excitation of a small portion of electrons near the Fermi level to empty states in the conducting band. The energy loss in this case is primarily due to excitations of the targets. But at higher energies, there is a minimum momentum transfer of the projectile due to its short duration near the target. In this region the electronic curve has a maximum due to the limited response time of target bound electrons to the projectile ions.  
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