deletions | additions       diff --git a/For_the_off_channeling_trajectory__.tex b/For_the_off_channeling_trajectory__.tex  index f2be53e..db8fadc 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 $S_\text{e}$ is depicted in Fig. \ref{fig:fit_off_channel}.   We tried two directions, approximately  [$0.705, 0.610, 0.363$] and [$0.309, 0.5, 0.809$] (given normalized here).   The first was chosen by visual inspection of the supercell in order to \emph{not} match any simple channel and avoid also an immediate head on collision.  The second is the normalized version of $[1, \phi, \phi^2]$, where $\phi$ is the Golden Ratio ($\sim 1.618$), which is a number know for its mathematical properties as an irrational number.