deletions | additions       diff --git a/Figure_ref_fig_log_stopping_power_shows__.tex b/Figure_ref_fig_log_stopping_power_shows__.tex  index f0c42c8..236c86b 100644  --- a/Figure_ref_fig_log_stopping_power_shows__.tex  +++ b/Figure_ref_fig_log_stopping_power_shows__.tex 
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Figure \ref{fig:log_stopping_power} shows the results in log scale to see the different regimes at low velocities. At projectile velocities, $v < 0.1 ~\mathrm{a.u.}$ there is a slight deviation from the linearity of the $S_\text{e}$ for the channeling case. We attribute this observation to the crystalline structure of $Cu$. The error bars (channeling case) are rather smaller than the point size calculated value; for example at $v = 0.08 ~\mathrm{a.u.}$ the value of $S_\text{e}$ is $9.951 \times 10^{-3}~E_\text{h}/a_0$ but our fitting procedure produces the error limit of $\pm 1.105 \times 10^{-6} ~E_\mathrm{h}/a_0$ and therefore the error bars are practically invisible when plotted in Figure \ref{fig:log_stopping_power}. Throught the studied velocity regime the limit of the error bar lies between $10^{-7}$ to $10^{-4}$ for the channeling case. At higher velocities the present $S_\text{e}$ (channeling case) results underestimates the experimental findings owing to lack of core electron effects which are not included in our calculations. Earlier Scheife {\emph et \emph{et  al.} \cite{Schleife_2015} have discussed the importance of core electrons. However, at higher velocities the off-channeling case gives a much reasonable results as compared to experiment.%  % experiment.