deletions | additions       diff --git a/figures/energy_dis7/caption.tex b/figures/energy_dis7/caption.tex  index d65e6e5..51b6a04 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 adiabatic would correspond to a proton moving infinitely slowly $v=0$), where there is nonot  transfer of energy, just oscillations of the total energy with a zero slope. %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 $S_\text{e}$  even at the lowest velocities. The residual oscillation is modeled by fitting a 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.