deletions | additions       diff --git a/Figure_ref_fig_log_stopping_power_shows__.tex b/Figure_ref_fig_log_stopping_power_shows__.tex  index 42b27bf..9d042cc 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 (darkgreen crosses) 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 $\pm 0.0101704 ~\mathrm{E_h/a_0}$ ~E_\text{h}/a_0}$  but our fitting procedure produces the error limit of $2.291 \times 10^{-6} ~\mathrm{E_h/a_0}$ 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 $10^{-4}$. At higher velocities our $S_\text{e}$ results underestimates the experimental findings owing to lack of core electron effects which are not included our calculations. The importance of core electrons has been discussed earlier by Scheife {\em et al}\cite{Schleife_2015}.  
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