deletions | additions       diff --git a/Figure_ref_fig_stopping_power_shows__.tex b/Figure_ref_fig_stopping_power_shows__.tex  index a7b7332..6a8448c 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 as a function of the velocity of a proton projectile with SRIM data. In the hyper-channeling case, when the incident velocity V increases after the stopping maximum reached, the rate of decrease of our S_e results becomes faster than those obtained either by the experimental or the SRIM database due to the following reasons: first, 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; second, 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_e in high energy have not been taken into account [50]. account\cite{Quijada_2007}.  and the third reason is important because at higher energies where stopping gets maximum the valence electrons become ionized and these plasma electrons contributions to S_e are enormous. Similar effects were also reported earlier by Mao {\em et al} for SiC by H^+ and 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-center channeling direction, there is, however, a better agreement between the our Se results with the SRIM data due to the random movement producing stronger interactions between the projectile and host atom. In the same figure we compare our results with density=6.84g/cm^3 and 8.96g/cm^3. It is evident that there is a linear dependency of stopping power on the target material. It is also noted that if applied density is lower than the experimental value, the stopping power get. On the other hand if our calculated density remains close to experimental values, the TDDFT prediction of the stopping powers improves.