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Alternatively, time dependent tight-binding have been proposed as well to overcome some size limitations \cite{Mason_2012} at the price of additional approximations.  In studying the role of ion-solid interactions in $\mathrm{H^+ + Al}$, Correa \emph{et al.} \cite{Correa_2012} have shown that the electronic excitations affects the interatomic forces relative to the adiabatic outcome.   Recently Schleife \emph{et al.} \cite{Schleife_2015} have calculated the electronic stopping $(S_\text{e}$ $S_\text{e}$  by $\mathrm{H}$ and $\mathrm{He}$ projectile including TDDFT non-adiabatic electron dynamics and found that off-channeling trajectories along with the inclusion of semicore electrons enhance $S_\text{e}$ resulting in better agreement with the experiment.   In this case we concentrate in a metal with a richer electronic band structure around the Fermi energy, such as $\mathrm{Cu}$.