deletions | additions       diff --git a/Figure_ref_fig_log_stopping_power_shows__.tex b/Figure_ref_fig_log_stopping_power_shows__.tex  index eff70ad..4e507e7 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 log scale of Figure \ref{fig:stopping_power}. At projectile velocities, $v < 0.1 ~\mathrm{a.u.}$ there is a deviation from linearity of the $S_\text{e}$ for the channeling case. We attribute this observation to the crystalline structure of copper???. copper.  The error bars (darkgreen crosses) (channeling case)  are smaller than the calculated value (of point size); for example at $v = 0.08 ~\mathrm{a.u.}$ the value of $S_\text{e}$ is $\pm 0.0101704~E_\text{h}/a_0$ but our fitting procedure produces the error limit of $2.291 \times 10^{-6} ~E_\mathrm{h}/a_0$ and therefore the error bars are practically invisible in the figure. Throught the studied velocity regime the limit of the error bar lies between $10^{-7}$ to $10^{-4}$. $10^{-4}$ for the channeling case.  At higher velocities our $S_\text{e}$ results underestimates the experimental findings owing to lack of core electron effects which are not included in  our calculations. The importance of core electrons has been discussed earlier by Scheife {\em et al}\cite{Schleife_2015}. al}\cite{Schleife_2015}.%