deletions | additions       diff --git a/Figure_ref_fig_log_stopping_power_shows__.tex b/Figure_ref_fig_log_stopping_power_shows__.tex  index 4e507e7..284b0cc 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. The error bars (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 when plotted  in the figure. 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 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}.%