deletions | additions       diff --git a/Figure_ref_fig_stopping_power_shows__.tex b/Figure_ref_fig_stopping_power_shows__.tex  index a6c4fa3..6dd2b92 100644  --- a/Figure_ref_fig_stopping_power_shows__.tex  +++ b/Figure_ref_fig_stopping_power_shows__.tex 
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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 hyper-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, a better agreement between the our $S_\text{e}$ results with the \textsc{Srim} data due to the selective excitation of low laying valence electrons produced when random movement producing stronger interactions between  the projectile approaches the and  host atom. 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 $8.96~\mathrm{g/cm^3}$.%