deletions | additions       diff --git a/Figure_ref_fig_energy_distance_shows__.tex b/Figure_ref_fig_energy_distance_shows__.tex  index 710ff42..6bdb437 100644  --- a/Figure_ref_fig_energy_distance_shows__.tex  +++ b/Figure_ref_fig_energy_distance_shows__.tex 
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Figure \ref{fig:energy_distance} shows the total electronic energy 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 support the adiabatic behavior. But at higher velocities 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 crystals ($\sim 5~a_0$) the increase in total energy of the system stabilizes at a steady rate.   Hence a stationary regime is reached and the difference in energy ($\delta ($\Delta  E$) remains constant for corresponding lattice positions of the projectile. The At that stationary state, the  $S_\text{e}$ is then extracted from the average slope of the total energy vs. projectile displacement at the stationary state. These displacement; these  represents the energy gained by the target or the energy loss of the projectile.% %