\begin{table}%t1 \caption{\label{tab_obs}Observed hyperfine frequencies and residuals of the $J_K = 1_0 \leftarrow 0_0$ transition of NH$_3$.} %\centerline $$\scriptsize { \begin{tabular}{D{-}{-}{3}D{,}{\leftarrow}{1}D{,}{,~}{3}D{.}{.}{8}D{.}{.}{1}D{.}{.}{1}} \hline\hline \noalign{\smallskip} \mcl{1}{c}{Order number} & F'_{\rm N},F_{\rm N} & F' & \mcl{1}{c}{Frequency$^{\rm a}$} & \mcl{2}{c}{Residual} \\ & & & \mcl{1}{c}{(MHz)} & \mcl{2}{c}{(kHz)} \\ \mcl{4}{c}{} & \mcl{1}{c}{Fit I} & \mcl{1}{c}{Fit II} \\ \hline 1 & 1,1 & 2.5,1.5 & 572~497.1247(5) & 0.1 & -0.1\\ 2 & \mcl{1}{c}{} & 0.5 & 572~497.1565(5) & -0.7 & -0.1\\ 3 & 2,1 & 3.5 & 572~498.3391(5) & 0.4 & 0.0\\ 4 & \mcl{1}{c}{} & 2.5 & 572~498.3885(10) & 1.6 & -0.1\\ 5 & \mcl{1}{c}{} & 0.5,1.5 & 572~498.3979(10) & -1.2 & 0.1\\ 6 & 0,1 & 1.5 & 572~500.1913(5) & -0.1 & 0.1\\[1ex] \hline\noalign{\smallskip} \mcl{5}{l}{crossover transitions$^{\rm b}$}\\ 1-3 & \mcl{2}{c}{} & 572~497.7314(10) & -0.6 & -0.6\\ 1-4,5 & \mcl{2}{c}{} & 572~497.7588(10) & -0.3 & -0.3\\ 2-4,5 & \mcl{2}{c}{} & 572~497.7766(10) & 0.5 & 1.0\\ 3-4 & \mcl{2}{c}{} & 572~498.3643(10) & 1.5 & 0.4\\ 1-6 & \mcl{2}{c}{} & 572~498.6595(10) & 1.2 & 1.3\\ 3-6 & \mcl{2}{c}{} & 572~499.2650(10) & -0.1 & -0.2\\ 4,5-6 & \mcl{2}{c}{} & 572~499.2920(10) & -1.2 & -0.9\\[1ex] \mcl{4}{l}{rms$_{\rm res}$ $^{\rm c}$ / kHz} & 0.9 & 0.6\\ \mcl{4}{l}{$\sigma^{\rm d}$} & 1.02 & 0.59\\ \hline \end{tabular}} $$ \medskip $^{\rm a}$ Estimated uncertainties are reported in parentheses in units of the last quoted digit; $^{\rm b}$ in the first column the order numbers of the dips corresponding to the crossover resonance are reported; $^{\rm c}$ rms error of residuals: $\sqrt{\frac{\sum {\rm residual}^2}{{\rm N\;observations}}}$; $^{\rm d}$ fit standard deviation: $\sqrt{\frac{\sum {\rm (residual/uncert.)}^2}{{\rm degrees\;of\;freedom}}}\cdot$ \end{table}