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Among the many measurable quantity the stopping power $\mathrm(S)$ \cite{Ferrell_1977} has received much attention; it provided detailed information regarding the energy transfer between the incoming projectile and the solid target.   Varies models and theories have been proposed to calculate stopping cross sections ($\mathrm{SCS}$); even today a unified theoretical approach suitable for different projectiles and energies is not available in the literature. Employing the First Born Approximation (FBA), Bethe \cite{Bethe_1930_EN} has reported the calculation of inelastic and ionization cross section. The Bloch correction \cite{Bloch_1933} provides a convenient link between the Bohr and the Bethe scheme. Fermi and Teller \cite{Fermi_1947} using electron gas models had reported electronic stopping for various targets. The Bethe formula for stopping has been studied in details by Lindhard and Winther \cite{Lindhard_Winther} on the basis of the generalized linear-response theory. All these models require ad-hoc assumptions for studying stopping processes. For calculating electronic stopping in metals there are a few reviews \cite{Race_2010} show theoretical progress and we not repeating them here.   The development of time dependent density functional theory (TDDFT) \cite{Runge_1984} enhanced the diverse study of many body problems involving the slowing down of charged projectiles in metals. problems.  It has enjoyed much consideration owing to its electron dynamics both self-consistency and non-perturbative way \cite{Kohn_1965}. In studying the role of radiation damage in $\mathrm{H^+ + Al}$ interactions Correa {\emph et al} \cite{Correa_2012} have shown that the electronic excitations due to molecular dynamics (MD) are quite different from the adiabatic outcome. Even today the inclusion of non adiabatic effects in a real calculation poses a challenging problem. Recently Schleife {\emph et al} \cite{Schleife_2015} have calculated the electronic stopping $\mathrm(S_\text{e})$ by $\mathrm{H}$ and $\mathrm{He}$ including non-adiabatic interactions and found that off-channeling trajectories along with the inclusion of semicore electrons enhance the $\mathrm(S_\text{e})$ resulting better agreement with the experiment.  In studying the role of radiation damage in ion-solid interactions Correa {\emph et al} \cite{Correa_2012} have shown that the electronic excitations due to molecular dynamics (MD) are quite different from the adiabatic outcome. The inclusion of non adiabatic effects in real calculations remains a challenging problem even today. Using the first principles descriptions Schleife {\emph et al} \cite{Schleife_2015} have calculated the electronic stopping by $\mathrm{H}$ and $\mathrm{He}$ projectile including non-adiabatic interactions.   It was observed that the role of both off-channeling trajectories and consideration of semicore electrons enhances the stopping power and yields better agreement with the experimental results.   Using a quantal method based on TDDFT, Quijada {\emph et. al.} \cite{Quijada_2007} have studied the energy loss of protons and anti-protons moving inside metalic Al and obtained good results for the projectile-target energy transfer over a wider energy range. Recently Uddin {\emph et al.} \cite{Alfaz_Uddin_2013} have calculated stopping cross sections for various media with atomic number $Z=2$ to $100$ using realistic electron density with four fitted parameters and obtained close $\sim 15\%$  agreement($\sim 15\%$)  with the \textsc{Srim} data. data [reference].  Using a single formula with less fewer  parameters Haque {\emph et al.} \cite{Haque_2015} have reported proton impact $\mathrm{SCS}$ with encouraging results. In the low energy region the energy loss in metal 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 close to the target. In this region the electronic curve has a maximum due to the limited response time of target electrons to the projectile ions.  
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We report here an application of the TDDFT that embodies a plane-wave basis set that represents accurately the electron dynamics \cite{Correa_2012,Schleife_2012,Schleife_2014} for proton impact collision of $\mathrm{Cu}$ crystal. The suitability of this method is tested by evaluating the electronic stopping $\mathrm(S_\text{e})$.  Our results are compared with those of \textsc{Srim} as well as available experimental values.%  % %Using a quantal method based on TDDFT, Quijada {\emph et. al.} \cite{Quijada_2007} have studied the energy loss of protons and anti-protons moving inside metalic Al and obtained good results for the projectile-target energy transfer over a wider energy range.