\begin{table}%t1 \par %\centering \par \caption{\label{t1}Calculated frequencies and intensities of $\Delta F = \Delta N$ rotational transitions in the $X^{2}\Sigma^{+}$ $(v=0)$ ground state of AlO. The constants from Yamada et~al. (\cite{Yamada90}) have been used, with the exception that the sign of $\gamma_{\rm D}$ has been reversed. The intensities are calculated according to a Hund's case $(b\beta_{J})-(b\beta_{J})$ formula (B1) from Bacis et~al. (\cite{Bacis73}), at a temperature of 230 K.} \begin{tabular}{cccccrr} \hline\hline $G$ & $N'$ & $F'$ & $N''$ & $F''$ & Freq/MHz & Int. (230 K) \\ \hline 2 & 1 & 3 & 0 & 2 & 38 278.080 & 0.0 \\ 3 & 1 & 4 & 0 & 3 & 38 281.977 & 6.0 \\ 2 & 2 & 2 & 1 & 1 & 76 502.453 & 0.0 \\ 2 & 2 & 4 & 1 & 3 & 76 553.373 & 11.8 \\ 3 & 2 & 4 & 1 & 3 & 76 559.315 & 17.7 \\ 2 & 2 & 3 & 1 & 2 & 76 568.067 & 4.1 \\ 3 & 2 & 5 & 1 & 4 & 76 579.518 & 28.9 \\ 3 & 2 & 3 & 1 & 2 & 76 677.262 & 9.4 \\ 2 & 3 & 5 & 2 & 4 & 114 831.410 & 43.0 \\ 2 & 3 & 2 & 2 & 1 & 114 832.298 & 5.5 \\ 2 & 3 & 3 & 2 & 2 & 114 835.198 & 14.1 \\ 2 & 3 & 4 & 2 & 3 & 114 841.162 & 26.4 \\ 2 & 3 & 1 & 2 & 0 & 114 846.559 & 0.0 \\ 3 & 3 & 5 & 2 & 4 & 114 850.440 & 55.2 \\ 3 & 3 & 6 & 2 & 5 & 114 865.239 & 76.2 \\ 3 & 3 & 4 & 2 & 3 & 114 866.448 & 38.4 \\ 3 & 3 & 3 & 2 & 2 & 114 888.139 & 25.1 \\ 3 & 3 & 2 & 2 & 1 & 114 899.206 & 15.1 \\ 2 & 4 & 6 & 3 & 5 & 153 108.310 & 100.8 \\ 3 & 4 & 1 & 3 & 0 & 153 109.961 & 10.3 \\ 2 & 4 & 5 & 3 & 4 & 153 117.008 & 73.1 \\ 2 & 4 & 4 & 3 & 3 & 153 118.588 & 50.7 \\ 2 & 4 & 3 & 3 & 2 & 153 121.600 & 33.2 \\ 2 & 4 & 2 & 3 & 1 & 153 132.878 & 19.9 \\ 3 & 4 & 2 & 3 & 1 & 153 133.226 & 38.8 \\ 3 & 4 & 6 & 3 & 5 & 153 133.628 & 121.9 \\ 3 & 4 & 5 & 3 & 4 & 153 135.760 & 94.0 \\ 3 & 4 & 4 & 3 & 3 & 153 141.151 & 71.0 \\ 3 & 4 & 3 & 3 & 2 & 153 142.358 & 52.6 \\ 3 & 4 & 7 & 3 & 6 & 153 145.778 & 155.0 \\ 3 & 5 & 2 & 4 & 1 & 191 379.947 & 48.1 \\ 2 & 5 & 7 & 4 & 6 & 191 382.536 & 192.2 \\ 2 & 5 & 6 & 4 & 5 & 191 390.676 & 151.2 \\ 2 & 5 & 5 & 4 & 4 & 191 394.726 & 116.6 \\ 3 & 5 & 3 & 4 & 2 & 191 398.164 & 96.1 \\ 2 & 5 & 4 & 4 & 3 & 191 399.767 & 88.1 \\ 3 & 5 & 4 & 4 & 3 & 191 406.813 & 119.3 \\ 3 & 5 & 5 & 4 & 4 & 191 409.199 & 148.4 \\ 3 & 5 & 6 & 4 & 5 & 191 409.272 & 183.5 \\ 2 & 5 & 3 & 4 & 2 & 191 410.177 & 65.3 \\ 3 & 5 & 7 & 4 & 6 & 191 411.477 & 224.7 \\ 3 & 5 & 8 & 4 & 7 & 191 422.055 & 272.3 \\ 3 & 6 & 3 & 5 & 2 & 229 648.771 & 114.4 \\ 2 & 6 & 8 & 5 & 7 & 229 653.036 & 324.2 \\ 2 & 6 & 7 & 5 & 6 & 229 660.782 & 267.5 \\ 3 & 6 & 4 & 5 & 3 & 229 664.971 & 186.9 \\ 2 & 6 & 6 & 5 & 5 & 229 665.912 & 218.4 \\ 2 & 6 & 5 & 5 & 4 & 229 671.899 & 176.7 \\ 3 & 6 & 5 & 5 & 4 & 229 673.641 & 221.8 \\ 3 & 6 & 6 & 5 & 5 & 229 677.782 & 264.1 \\ 3 & 6 & 7 & 5 & 6 & 229 680.325 & 313.5 \\ 2 & 6 & 4 & 5 & 3 & 229 681.974 & 142.0 \\ 3 & 6 & 8 & 5 & 7 & 229 684.329 & 370.3 \\ 3 & 6 & 9 & 5 & 8 & 229 693.846 & 434.8 \\ 3 & 7 & 4 & 6 & 3 & 267 913.912 & 216.3 \\ \hline 2 & 7 & 9 & 6 & 8 & 267 918.911 & 503.3 \\ 2 & 7 & 8 & 6 & 7 & 267 926.336 & 428.6 \\ 3 & 7 & 5 & 6 & 4 & 267 929.255 & 317.9 \\ 2 & 7 & 7 & 6 & 6 & 267 931.998 & 362.9 \\ 3 & 7 & 6 & 6 & 5 & 267 938.051 & 366.9 \\ 2 & 7 & 6 & 6 & 5 & 267 938.489 & 305.6 \\ 3 & 7 & 7 & 6 & 6 & 267 943.172 & 424.6 \\ 3 & 7 & 8 & 6 & 7 & 267 947.009 & 490.7 \\ 2 & 7 & 5 & 6 & 4 & 267 948.413 & 256.7 \\ 3 & 7 & 9 & 6 & 8 & 267 951.860 & 565.4 \\ 3 & 7 & 10 & 6 & 9 & 267 960.593 & 649.0 \\ 3 & 8 & 5 & 7 & 4 & 306 174.001 & 360.4 \\ 2 & 8 & 10 & 7 & 9 & 306 179.316 & 735.8 \\ 2 & 8 & 9 & 7 & 8 & 306 186.459 & 641.1 \\ 3 & 8 & 6 & 7 & 5 & 306 189.028 & 495.5 \\ 2 & 8 & 8 & 7 & 7 & 306 192.386 & 556.4 \\ 3 & 8 & 7 & 7 & 6 & 306 197.956 & 561.0 \\ 2 & 8 & 7 & 7 & 6 & 306 199.154 & 481.4 \\ 3 & 8 & 8 & 7 & 7 & 306 203.668 & 636.4 \\ 3 & 8 & 9 & 7 & 8 & 306 208.233 & 721.4 \\ 2 & 8 & 6 & 7 & 5 & 306 209.009 & 416.0 \\ 3 & 8 & 10 & 7 & 9 & 306 213.497 & 816.2 \\ 3 & 8 & 11 & 7 & 10 & 306 221.612 & 921.0 \\ 3 & 9 & 6 & 8 & 5 & 344 428.006 & 553.1 \\ 2 & 9 & 11 & 8 & 10 & 344 433.426 & 1028.0 \\ 2 & 9 & 10 & 8 & 9 & 344 440.311 & 911.0 \\ 3 & 9 & 7 & 8 & 6 & 344 443.008 & 726.3 \\ 2 & 9 & 9 & 8 & 8 & 344 446.356 & 805.1 \\ 3 & 9 & 8 & 8 & 7 & 344 452.051 & 810.4 \\ 2 & 9 & 8 & 8 & 7 & 344 453.276 & 710.3 \\ 3 & 9 & 9 & 8 & 8 & 344 458.123 & 905.6 \\ 2 & 9 & 7 & 8 & 6 & 344 463.087 & 626.2 \\ 3 & 9 & 10 & 8 & 9 & 344 463.112 & 1011.7 \\ 3 & 9 & 11 & 8 & 10 & 344 468.561 & 1128.8 \\ 3 & 9 & 12 & 8 & 11 & 344 476.168 & 1257.0 \\ 3 & 10 & 7 & 9 & 6 & 382 675.021 & 800.6 \\ 2 & 10 & 12 & 9 & 11 & 382 680.433 & 1385.7 \\ 2 & 10 & 11 & 9 & 10 & 382 687.074 & 1244.3 \\ 3 & 10 & 8 & 9 & 7 & 382 690.169 & 1016.2 \\ 2 & 10 & 10 & 9 & 9 & 382 693.151 & 1115.3 \\ 3 & 10 & 9 & 9 & 8 & 382 699.297 & 1121.2 \\ 2 & 10 & 9 & 9 & 8 & 382 700.137 & 998.3 \\ 3 & 10 & 10 & 9 & 9 & 382 705.589 & 1238.4 \\ 2 & 10 & 8 & 9 & 7 & 382 709.915 & 893.4 \\ 3 & 10 & 11 & 9 & 10 & 382 710.818 & 1367.7 \\ 3 & 10 & 12 & 9 & 11 & 382 716.327 & 1509.1 \\ 3 & 10 & 13 & 9 & 12 & 382 723.495 & 1662.8 \\ 3 & 11 & 8 & 10 & 7 & 420 914.194 & 1109.0 \\ 2 & 11 & 13 & 10 & 12 & 420 919.531 & 1814.6 \\ 2 & 11 & 12 & 10 & 11 & 420 925.941 & 1646.9 \\ 3 & 11 & 9 & 10 & 8 & 420 929.595 & 1371.1 \\ 2 & 11 & 11 & 10 & 10 & 420 931.991 & 1492.6 \\ 3 & 11 & 10 & 10 & 9 & 420 938.778 & 1499.0 \\ 2 & 11 & 10 & 10 & 9 & 420 938.985 & 1351.5 \\ 3 & 11 & 11 & 10 & 10 & 420 945.191 & 1640.4 \\ 2 & 11 & 9 & 10 & 8 & 420 948.726 & 1223.6 \\ 3 & 11 & 12 & 10 & 11 & 420 950.546 & 1794.9 \\ 3 & 11 & 13 & 10 & 12 & 420 956.037 & 1962.7 \\ 3 & 11 & 14 & 10 & 13 & 420 962.823 & 2143.9 \\ \hline \end{tabular} \end{table}