\begin{table}%t1 \caption{\label{tab:1415h}Rotational transition frequencies and spectroscopic constants of N$^{15}$NH$^+$.} \small%\centerline { \begin{tabular}{ccccc} \hline\hline\noalign{\smallskip} $J'$ & $J$ & {Observed} & {Obs.-calc.} & {Uncert.$^{{a}}$} \\ & & {(MHz)} & {(kHz)} & {(kHz)} \\ \hline \noalign{\smallskip} 1 & 0 & 91~205.7380$^{{b}}$ & 43.5 & 50 \\ 3 & 2 & 273~608.9846 & --2.9 & 5 \\ 4 & 3 & 364~802.5417 & 3.8 & 5 \\ 5 & 4 & 455~987.9927 & 0.6 & 5 \\ 6 & 5 & 547~163.3276 & 1.4 & 5 \\ 7 & 6 & 638~326.5101 & --6.0 & 5 \\ 8 & 7 & 729~475.5408 & 3.0 & 5 \\ \noalign{\smallskip} \mcl{5}{l}{rms$_{\rm res}$$^{{c}} = 16.7$~kHz}\\ \mcl{5}{l}{$\sigma^{d} = 0.846$} \\ \hline \mcl{2}{l}{Constant$^{{e}}$} & & \mcl{2}{r}{Correlation matrix} \\ \hline \mcl{2}{l}{$B_0$ / MHz} & 45~603.01594(41) & 1.000 \\ \mcl{2}{l}{$D_J$ / kHz} & 84.3346(42) & --0.928 & 1.000 \\ \hline \end{tabular}} \smallskip $^{{a}}$ Uncertainties estimated as explained in the text.\\ $^{{b}}$ From \citet{Gudeman-PhDTh82}.\\ $^{{c}}$ Rms error of residuals: $\sqrt{\frac{\sum {\rm residual}^2}{{N\;{\rm observations}}}}$.\\ $^{{d}}$ Fit standard deviation: $\sqrt{\frac{\sum {\rm (residual/uncert.)}^2}{{\rm degrees\;of\;freedom}}}$.\\ $^{{e}}$ Standard errors are reported in parentheses in units of the last quoted digits. \end{table}