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In this paper we have reported the $S_\text{e}$ of protons in copper in a very wide range of velocities.  TDDFT-based electron dynamics is capable of capturing most of the physics in the different ranges, starting from non-linear screening effects, electron-hole excitations and production of plasmons.   We disentangled channeling and off-channeling effects and observe a collapse of the two curves at low velocities; and identified three four  regimes i) the linear $\mathrm{s}$-only ($0.02-0.07~\mathrm{a.u.}$),   ii) linear $\mathrm{s}+\mathrm{d}$ ($0.3-1~\mathrm{a.u.}$),   iii) crossover with $\sim 1.5$-power law ($0.07-0.3~\mathrm{a.u.}$) and iv) plasmon-like plasma-like  ($v > 1~\mathrm{a.u.}$). %and v) what is possibly a non-linear screening regime at $v < 0.02~\mathrm{a.u.}$. This further illustrates that the electronic stopping in general does not posses a simple behavior in the limit $v\to 0$, and that band and bound effects dominate this behavior.