\begin{table}
\centering
\begin{tabular}{l | c c c c c c c }
    & $E_0$ [eV]  & $\sigma_0$ [cm$^2$] & $y_a$ & $P$ & $y_w$ & $y_0$ & $y_1$ \\
\hline\\[-0.5em]
H$^0$  & 0.4298 & 5.475$\times 10^{-14}$ & 32.88 & 2.963 & 0     & 0 & 0 \\
He$^0$ & 13.61  & 9.492$\times 10^{-16}$ & 1.469 & 3.188 & 2.039 & 0.4434 & 2.136 \\
He$^+$ & 1.720  & 1.369$\times 10^{-14}$ & 32.88 & 2.963 & 0     & 0 & 0 \\
 \end{tabular}
\caption{Fitting parameters used for the ionizing cross section parametrizations given in
eq.~\ref{eq:sigma-parametrizaiton}. The parametrization and these parameters are taken from
\cite{vernerAtomicDataAstrophysics1996}. Note that the table given in the appendix of
\cite{ramses-rt13} contains a typo in $E_0$ for He$^0$, and is off by a factor of 100.}
\label{tab:cross-sections}
\end{table}