\begin{table}%ta1 %\centering \par \caption{\label{lab-data}Quantum numbers of rotational transitions of H$_2$O$^+$ described in the present work, calculated frequencies~(MHz) with uncertainties in parentheses$^a$; lower state energies $E_{\rm lo}$~(K) and Einstein $A$-values (10$^{-3}$~s${^-1}$)} \begin{tabular}[t]{ccr@{}lrr} \hline \hline \noalign{\smallskip} \multicolumn{4}{l}{$N'_{K_a'K_c'} - N''_{K_a''K_c''}$} & & \\[2pt] \hline\noalign{\smallskip} $J' - J''$ & $F' - F''$ & \multicolumn{2}{c}{frequency} & \multicolumn{1}{c}{$E_{\rm lo}$} & \multicolumn{1}{c}{$A$} \\ \hline \multicolumn{4}{l}{$1_{10}{-}1_{01}$, {\it para}} & & \\ \hline $1.5{-}0.5$ & $b$ & 604678&.6~(25) & 0.005 & 1.3 \\ $1.5{-}1.5$ & $b$ & 607227&.3~(19) & 0.000 & 6.2 \\ $0.5{-}0.5$ & $b$ & 631724&.1~(37) & 0.005 & 5.6 \\ $0.5{-}1.5$ & $b$ & 634272&.9~(24) & 0.000 & 2.8 \\ \hline \multicolumn{4}{l}{$1_{11}{-}0_{00}$, {\it ortho}}\\ \hline $1.5{-}0.5$ & $1.5{-}0.5$ & 1115150&.75~(85) & 0.122 & 17.1 \\ $1.5{-}0.5$ & $0.5{-}0.5$ & 1115186&.18~(81) & 0.122 & 27.5 \\ $1.5{-}0.5$ & $2.5{-}1.5$ & 1115204&.15~(82) & 0.000 & 31.0 \\ $1.5{-}0.5$ & $1.5{-}1.5$ & 1115262&.90~(82) & 0.000 & 13.9 \\ $1.5{-}0.5$ & $0.5{-}1.5$ & 1115298&.33~(87) & 0.000 & 3.5 \\ $0.5{-}0.5$ & $0.5{-}0.5$ & 1139541&.54~(103)& 0.122 & 3.7 \\ $0.5{-}0.5$ & $1.5{-}0.5$ & 1139560&.58~(94) & 0.122 & 14.8 \\ $0.5{-}0.5$ & $0.5{-}1.5$ & 1139653&.69~(94) & 0.000 & 29.4 \\ $0.5{-}0.5$ & $1.5{-}1.5$ & 1139672&.73~(103)& 0.000 & 18.3 \\ \hline \end{tabular} \tablefoot{\tablefoottext{a}{Numbers in parentheses are 1$\sigma$ uncertainties in units of the least significant figures. These values should be viewed with some caution, in particular for the {\it para} transition, see text.} \tablefoottext{b}{$F$ is redundant for {\it para} transitions; $F = J$ may be assumed. The lowest {\it para} state is 30.01~K above the lowest {\it ortho} state.}} \end{table}