Alfredo A. Correa edited Figure_ref_fig_stopping_power_shows__.tex  over 8 years ago

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Figure \ref{fig:stopping_power} shows a comparison of our calculated electronic stopping power $S_\text{e}$ with \textsc{Srim} data.   In the channeling case, when the incident velocity $v$ increases after the maximum stopping is reached, the rate of decrease of our $S_\text{e}$ results becomes rather faster than those obtained by either the experimental or the SRIM database due to the following reasons: (i) the projectile moves in a rectilinear uniform movement through the center of the channel and produces a very weak interaction due to its short duration close to the target; (ii) only the effect of valence electrons of the target atoms in the pseudo potential model is considered, the inner electronic excitations which should enhance the $S_\text{e}$ in high energy have not been taken into account \cite{Quijada_2007} and (iii) at higher energies, where stopping gets maximum, the valence electrons become ionized and the contribution due to these plasma electrons to $S_e$ are significant. Similar effects were also reported earlier by Mao \emph{et al} for SiC by $\mathrm{H^+}$ and $\mathrm{He^{2+}}$ \cite{Mao_2015}, when the ion velocity exceeds certain value, a new mechanism, known as the plasma oscillation \cite{Bauer_1990} of the target electrons, for the electronic energy loss appears. Inclusion of these into our present TDDFT model is rather impossible now.   For the off-channeling case, there is, however, is  a better agreement between the our $S_\text{e}$ results with the \textsc{Srim} data due to in most of  the random movement producing stronger interactions between range.  Presumably in experiments where trajectories are not controlled,  the projectile and does indeed explore core regions of the  host atom. atoms.  At higher velocities ($v > 4a.u.$) the disagreement stems from combined effect of the lack of explicit core electrons in the simulation and also size effects, as excitations of long wavelength plasmons is constrained by the simulation supercell \cite{Schleife_2015}.  We also see that at low velocity the off-channeling and channeling simulated points collapses to a common curve, this effect has been seen in the simulations before \cite{Schleife_2015}\cite{Ullah_2015}, at low velocity the effect is less sensitive to the precise geometry of the trajectory.  It is evident that there is, however, a linear dependency of the stopping power on the target material. It is also observed that if applied density is lower than the experimental value, the stopping power gets lower.   On the other hand if our calculated density remains close to experimental values, the prediction of the stopping powers by TDDFT improves.%   %In the same figure we compare our results with density $6.84~\mathrm{g/cm^3}$ and $8.96~\mathrm{g/cm^3}$.%