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Among the measurable quantities associated to the interaction between ions and solid, 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.   Various models and theories have been proposed to calculate stopping cross sections; even today a unified \emph{ab initio} 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 few reviews (see \cite{Race_2010} (\cite{Race_2010}  and references there in).From a phenomenological point of view, Uddin {\emph et al.} \cite{Alfaz_Uddin_2013} have calculated $\mathrm{SCS}$ for various media with atomic number $Z=2$ to $100$ using realistic electron density with four fitted parameters and obtained $\sim 15\%$ agreement with the \textsc{Srim} data \cite{Ziegler_2010}. Using a single formula with fewer parameters Haque {\emph et al.} \cite{Haque_2015} have reported proton impact $\mathrm{SCS}$ with encouraging results.  The development of time dependent density functional theory (TDDFT) \cite{Runge_1984} enhanced the diverse study of many body problems and in particular the problem at hand. 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 ion-solid interactions radiation damage  in $\mathrm{H^+ + Al}$ interactions  Correa {\emph et al.} al}  \cite{Correa_2012}in an atomistic ab initio study,  have shown that the interionic force electronic excitations  due to molecular dynamics (MD) can be are  quite different from the adiabatic case. outcome. Even today the inclusion of non adiabatic effects in a real calculation poses a challenging problem.  Recently Schleife {\emph et al.} al}  \cite{Schleife_2015} have calculated the electronic stopping $\mathrm(S_\text{e})$ by $\mathrm{H}$ and $\mathrm{He}$ projectile including non-adiabatic interactions and found that off-channeling trajectories along with the inclusion of semicore electrons enhance $\mathrm{S_\text{e}}$ resulting better agreement with the experiment. In this paper we follow Recently Uddin {\emph et al.} \cite{Alfaz_Uddin_2013} have calculated $\mathrm{SCS}$ for various media with atomic number $Z=2$ to $100$ using realistic electron density with four fitted parameters and obtained $\sim 15\%$ agreement with  the convergence criteria developed in Ref.~\cite{Schleife_2015}. \textsc{Srim} data \cite{Ziegler_2010}. Using a single formula with fewer parameters Haque {\emph et al.} \cite{Haque_2015} have reported proton impact $\mathrm{SCS}$ with encouraging results.  The recent measurement \cite{Cantero_2009} by slow $\mathrm{H^+}$ in $\mathrm{Cu}$ reveals the stopping due to conduction band electronic excitation at lower velocity. The combined effects of both the free electrons and the loosely bound $d$ electrons causes a change of the slope. This study supports this even upto $v = 0.01 ~\mathrm{a.u.}$ (see Figure \ref{fig:log_stopping_power}). The experimental results of Nomura and Kiyota \cite{Nomura_1975} on $\mathrm{H^+ + Cu}$ film show the dependence of $\mathrm{S_\text{e}}$ on incident velocity agrees with the calculation of Lindhard {\emph et al} \cite{Lindhard_Scharff_Schiott}. 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.