deletions | additions       diff --git a/Fig_ref_fig_energy_distance_shows__.tex b/Fig_ref_fig_energy_distance_shows__.tex  index da81f3d..c1d6692 100644  --- a/Fig_ref_fig_energy_distance_shows__.tex  +++ b/Fig_ref_fig_energy_distance_shows__.tex 
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Fig. \ref{fig:energy_distance} shows the total electronic energy $E$  of the system as a function of position at various projectile velocities for the hyper-channeling case. At lower velocities regime, the energy transfer is rather small which has as limit the adiabatic behavior. Aside oscillations of the total energy with the position of the projectile, the total energy of the system increases with time.   After the projectile travels some short distance in the crystal ($\sim 5~a_0$) the increase in total energy of the system stabilizes to a steady rate.   The $S_\text{e}$ is then extracted from the average slope of the total energy \emph{vs.} projectile displacement;