deletions | additions       diff --git a/For_the_off_channeling_trajectory__.tex b/For_the_off_channeling_trajectory__.tex  index 399a526..5792a20 100644  --- a/For_the_off_channeling_trajectory__.tex  +++ b/For_the_off_channeling_trajectory__.tex 
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In Fig.~\ref{fig:fit_off_channel}, the sharp peaks show when the proton is in the vicinity of a host $\mathrm{Cu}$ atom during an off-channeling trajectory,   while the smaller peaks and flatter regions indicate that the proton is not very close to any host atom.   To obtain the $S_\text{e}$ we compute the slopes of the curves by a linear fit of the form $y = a + bx$ (black solid lines) using our data from $x > 5~a_0$ (to eliminate the transient region) up to a given maximum position of $x$ determined by minimizing reentrancy in the periodic supercell into near  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}.%