In studying the role of ion-solid interactions of \(\mathrm{H^+}\) in \(\mathrm{Al}\), Correa et al. \cite{Correa_2012} have shown that the electronic excitations affect the interatomic forces relative to the adiabatic outcome. Recently, Schleife et al. \cite{Schleife_2015} have calculated the electronic stopping power (\(S_\text{e}\)) of \(\mathrm{H}\) and \(\mathrm{He}\) projectiles 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 much better agreement with the Srim experimental and modeled data \cite{Ziegler_2010} in a wide range of energies. In this case we concentrate in a metal with a richer electronic band structure around the Fermi energy, such as \(\mathrm{Cu}\).