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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 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, they lose it loses  kinetic energy due to the electronic excitations of the target electrons and the path of their trajectory. Thisphenomenon  is an important piece phenomenon which plays an important role  in many experimental techniques used in fundamental research on studies involving  solids, surfaces and nanostructures. The complexity of describing the dynamic interaction between charged particles and solids has motivated initiated  a gargantuan amount of research both experimentally and by using computer simulations and theoretically;  in the latter the  condensed matter community. Stopping power $\mathrm(S)$\cite{Ferrell_1977} is an important community have initiated sophisticated computer simulation techniques with great success. Among the many  measurable quantity that describes mechanisms involved in ion-to-solid the stopping power $\mathrm(S)$\cite{Ferrell_1977} has enjoyed much uses; it provided details information regarding the  energy transfer processes. 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 of an atomic projectile characterizes its stopping power in a given solid target. The type of excitation created in the solid target describes the stopping phenomenon produced. When the velocity of the projectile is high, the host nuclei barely have enough time to interact with the charged particle hence less energy or momentum is transfered. The main channel of energy dissipation in this case is caused by the electrons around the trajectory of the charged particle hence electronic excitations are predominant. Also in higher velocity regime, the electronic curve has a maximum, which is due to the limited response time of electrons to the atomic projectile. In the other hand, if the velocity of the charged particle is low, the stopping power is predominantly caused by nuclear effects due to lattice excitations in the host nuclei.  
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