deletions | additions       diff --git a/For_the_off_channeling_trajectory__.tex b/For_the_off_channeling_trajectory__.tex  index 47ccd6b..59d643d 100644  --- a/For_the_off_channeling_trajectory__.tex  +++ b/For_the_off_channeling_trajectory__.tex 
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For the off-channeling trajectory, the procedure for computing the electronic stopping is depicted in Figure Fig.  \ref{fig:fit_off_channel}. The sharp peaks shows when the proton is in the vicinity of a host $\mathrm{Cu}$ atom,   while the smaller peaks and flatter regions indicates that the proton is not very close to any host atom.   To obtain the electronic stopping we compute the slopes of the curves by a linear fit of the form $y = a + bx$ (black lines) using our data from $x > 5~a_0$ (to eliminate the transient region) to a given maximum position of $x$ determined by minimizing reentrancy in the periodic supercell into the initial position.   The slope ($b$) gives the electronic stopping for this off-channeling case.  %We have displayed the procedure used in obtaining the electronic stopping for the off-channeling trajectory case in Figure \ref{fig:fit_off_channel}. \ref{fig:fit_off_channel}.%