\begin{table}%tB.1 \caption{\label{tab:stdnstd}Power law relations to convert physical parameters of \rexcess\ clusters from those derived using the empirical \MY~relation (Eq.~(\ref{eq:mynstd})) to those derived using the standard slope relation (Eq.~(\ref{eq:mystd}))\tablefootmark{*}. } %\centering \par \begin{tabular}{lcc} \hline \hline \noalign{\smallskip} Relation & $C $ & $\alpha$ \\ \hline $\Mv^{\rm ST}- \Mv$& $0.968$ &$1.089$ \\ $\TX^{\rm ST} - \TX$ & $1.002$ &$0.992$ \\ $\YX^{\rm ST} - \YX$ & $0.995$ &$1.017$ \\ $Y_{\rm sph}^{\rm ST}(\Rv) - Y_{\rm sph}(\Rv)$ & $0.991$ &$1.031$ \\ \hline \end{tabular} \tablefoot{\tablefootmark{(*)}{For each observable,~$Q$, the~conversion follows the form $(Q^{\rm ST}/Q_0)= C(Q/Q_0)^\alpha$ where the pivot, $Q_{0}$~is $3$~$\times$~$10^{14}~\msol$, $5~\keV$, $2$~$\times$ $10^{14}~\msol~\keV$ and $2$~$\times$ $10^{-5}~{\rm Mpc^2}$ for~$\Mv$, $\TX$, $\YX$ and~$Y_{\rm sph}(\Rv)$, respectively.}} \par \end{table}