deletions | additions       diff --git a/Recently_from_a_phenomenological_point__.tex b/Recently_from_a_phenomenological_point__.tex  index 0c22bc4..bdfefd7 100644  --- a/Recently_from_a_phenomenological_point__.tex  +++ b/Recently_from_a_phenomenological_point__.tex 
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Recently, from a phenomenological point of view, Uddin \emph{et al.} \cite{Alfaz_Uddin_2013} have calculated $S_\text{e}$ for protons, $\alpha$ and $\mathrm{He}$ for various media with atomic number $Z=2$ to $100$ using realistic electron density with four fitted parameters and obtained $\sim 12\%$ agreement with the \textsc{Srim} data \cite{Ziegler_2010}.   Using a single formula with fewer parameters Haque \emph{et al.} \cite{Haque_2015} have reported proton stopping power with encouraging results. For example, at their lowest reported velocity $v = 0.6 ~\mathrm{a.u.}$, their results are within $\sim 15\%$ of our \emph{ab initio} findings for $\mathrm{H}$ in $\mathrm{Cu}$.   \textsc{Srim} \cite{Ziegler_2010} also provides both a fitted model for electronic stopping as well as a large set of experimental points, at low velocities both experiment and the fitted models experimental data  becomes more scarce and the fitted models  less reliable. The recent measurements by Cantero \emph{et al.} \cite{Cantero_2009} and by Markin \emph{et al.} \cite{Markin_2009} of slow ($v \leq 0.6~\mathrm{a.u.}$) $\mathrm{H^+}$ in $\mathrm{Cu}$, although disagreeing with each other in absolute scale by $\sim 40\%$ (Fig. \ref{fig:stopping_power}), both reveal the stopping due to conduction band electronic excitations at lower velocity, evidenced as a change in slope.   The combined effects of both the free electrons and the loosely bound $\mathrm{d}$-electrons causes the change of the slope \cite{Goebl_2013}.