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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 many  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 fast  ion moves through a solid, it loses kinetic energy due to the excitations of the target electrons and the path of their trajectory. This phenomenon 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 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 received much attention; 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 stimulated this kind of study. In the low energy region for metal the energy loss is due to the excitation of a portion of electrons around the Fermi level to empty states in the conducting band. But at higher energies, a minimum momentum transfer of the projectile is possible 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.  

We report here an application of the TDDFT that embodies a plane-wave basis set that represents accurately the electron dynamics\cite{Correa_2012}\cite{Schleife_2012}\cite{Schleife_2014} for proton impact collision of $\mathrm{Cu}$ crystal.  We have tested the strength of this method to evaluate the electronic stopping $\mathrm(S_\text{e})$.   Our findings are compared with those of \textsc{Srim} as well as available experimental values.