deletions | additions       diff --git a/In_Figure_ref_fig_charge_on_proton_bader_voronoi__.tex b/In_Figure_ref_fig_charge_on_proton_bader_voronoi__.tex  index 0c39809..de51611 100644  --- a/In_Figure_ref_fig_charge_on_proton_bader_voronoi__.tex  +++ b/In_Figure_ref_fig_charge_on_proton_bader_voronoi__.tex 
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In Figure \ref{fig:charge_on_proton_bader_voronoi} the electronic charge transfer values relative to the initial state during the $\mathrm{H^+}$ trajectory as a function of its position in the crystal moving with velocity, $v = 1.8 ~\mathrm{a.u.}$ is shown. The charges gained by the proton are extracted from the $n(\textbf r, t)$ by using a bader Bader  program. The charges gained by the $\mathrm{H^+}$ oscillates throughout its trajectory and more charges are accumulated when its closest to a neighboring $Cu$ atom. Before $\mathrm{H^+}$ reenters the periodic supercell ($\gtrsim 20.46~a_0$) the maximum charges gained remains relatively constant but gradually starts increasing after reentering; it thus shows that the proton is picking up more charges from the target atoms.% %Since the proton is placed in the crystal before the ground state calculation, it has obtained a charge of $1.2292$ which is expected just before it starts moving in the crystal. Each time the proton crosses a unit cell the value of the charge oscillate per unit cell traversed.%  %