deletions | additions       diff --git a/figures/energy_dis7/caption.tex b/figures/energy_dis7/caption.tex  index 9300503..d65e6e5 100644  --- a/figures/energy_dis7/caption.tex  +++ b/figures/energy_dis7/caption.tex 
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\label{fig:fit_graph} (color online). The increase of $E$ as a function of proton position at velocities $v = 0.06 ~\mathrm{a.u.}$ (green dashed line) along [100] channeling trajectory and the adiabatic energy (magenta dot-dashed line).   The adiabaticthat  would correspond to a proton moving infinitely slowly $v=0$), where there is no not transfer of energy, just oscillations of the total energy with a zero slope. The %The  initial (ground state energy) is subtracted. The oscillations in the curves reflect the periodicity of the $\mathrm{Cu}$ lattice.   The red solid line shows the energy difference (subtraction of adiabatic energy from the $v = 0.06 ~\mathrm{a.u.}$ curves).   This subtraction eliminates most of the oscillations and isolates the non-adiabatic contributions, and allows for an accurate numerical fit of the slope that allowed us to extract stopping power even at the lowest velocities.  The residual oscillation is modeled by fitting a sine cosine  function plus a linear function. The blue dashed and black dotted lines shows the slope of linear and oscillatory fits of the red solid line   from $x = 5.0 ~\mathrm{a_0}$ (after the transient) to a given maximum position $x$ as a function of this maximum position respectively.   For visualization purposes the black line have been shifted vertically for clarity. %