deletions | additions       diff --git a/For_the_off_channeling_trajectory__.tex b/For_the_off_channeling_trajectory__.tex  index f78e06a..680bbf1 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 \ref{fig:fit_off_channel}. The sharp peak at distance ($\sim 16~a_0$) shows that the proton is in the vicinity of a host $Cu$ $\mathrm{Cu$}  atom, whiles while  the smaller peaks 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 $x$. The slope ($b$) gives the electronic stopping for this off-channeling case.% 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}.