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The velocity dependency of the stopping cross sections was reported earlier by Firsov {\em et al}\cite{Firsov} [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 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. 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.   In recent times, the development of time-dependent methods have enhanced the diverse study of many body problems involving the slowing down of charged particles either in matters or gases[ref.] gases.  The time dependent density functional theory (TDDFT) on the other hand has enjoyed much consideration owing to its electron dynamics both self-consistency and non-perturbative way.[put more paper references here].  Most recently Correa {\em et al}\cite{Correa_2012} have reported the role of radiation damage in ion-solid interactions. They have shown that the electronic excitations due to molecular dynamics are quite different from the adiabatic outcome. The inclusion of non adiabatic effects in real calculations remains a challenging problem even today. Schleife {\em et al} have calculated\cite{Schleife_2015} the electronic stopping by H and He projectile including non-adiabatic interactions employing first principles descriptions. TIt was observed that role of off-channeling trajectories enhances the agreement with the experimental results. Using a quantal method based on TDDFT, Quijada {\em 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 {\em 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 agreement (\sim 15\%) with the SRIM data. However, their parametrized model, explains the projectile energy loss in various stopping media reasonably well.  
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