\begin{table}%t3 \par %\centering \par \caption{\label{t3}Calculated frequencies and intensities of $\Delta F = \Delta N$ rotational transitions in the $X^{2}\Sigma^{+}$ $(v=2)$ ground state of AlO. The constants from Goto et~al. (\cite{Goto94}) have been used. 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 3 & 1 & 4 & 0 & 3 & 37 542.790 & 6.0 \\ 2 & 1 & 3 & 0 & 2 & 37 605.344 & 0.0 \\ 2 & 2 & 2 & 1 & 1 & 75 112.495 & 0.0 \\ 3 & 2 & 4 & 1 & 3 & 75 137.372 & 17.7 \\ 3 & 2 & 5 & 1 & 4 & 75 141.892 & 28.9 \\ 2 & 2 & 4 & 1 & 3 & 75 183.222 & 11.8 \\ 2 & 2 & 3 & 1 & 2 & 75 183.878 & 4.1 \\ 3 & 2 & 3 & 1 & 2 & 75 266.837 & 9.5 \\ 2 & 3 & 2 & 2 & 1 & 112 728.294 & 5.5 \\ 2 & 3 & 1 & 2 & 0 & 112 728.397 & 0.0 \\ 3 & 3 & 6 & 2 & 5 & 112 729.337 & 76.2 \\ 3 & 3 & 5 & 2 & 4 & 112 729.778 & 55.3 \\ 2 & 3 & 3 & 2 & 2 & 112 742.608 & 14.1 \\ 3 & 3 & 4 & 2 & 3 & 112 758.605 & 38.4 \\ 2 & 3 & 4 & 2 & 3 & 112 759.967 & 26.4 \\ 2 & 3 & 5 & 2 & 4 & 112 763.492 & 43.0 \\ 3 & 3 & 3 & 2 & 2 & 112 791.209 & 25.1 \\ 3 & 3 & 2 & 2 & 1 & 112 813.425 & 15.1 \\ 3 & 4 & 7 & 3 & 6 & 150 311.607 & 155.1 \\ 3 & 4 & 6 & 3 & 5 & 150 314.425 & 122.0 \\ 2 & 4 & 2 & 3 & 1 & 150 315.892 & 19.9 \\ 2 & 4 & 3 & 3 & 2 & 150 318.652 & 33.2 \\ 2 & 4 & 4 & 3 & 3 & 150 327.771 & 50.8 \\ 3 & 4 & 5 & 3 & 4 & 150 329.449 & 94.1 \\ 2 & 4 & 5 & 3 & 4 & 150 338.108 & 73.1 \\ 2 & 4 & 6 & 3 & 5 & 150 342.478 & 100.8 \\ 3 & 4 & 4 & 3 & 3 & 150 346.552 & 71.1 \\ 3 & 4 & 1 & 3 & 0 & 150 358.843 & 10.3 \\ 3 & 4 & 3 & 3 & 2 & 150 359.766 & 52.7 \\ 3 & 4 & 2 & 3 & 1 & 150 364.690 & 38.8 \\ 3 & 5 & 8 & 4 & 7 & 187 889.577 & 272.5 \\ 3 & 5 & 7 & 4 & 6 & 187 893.776 & 224.8 \\ 2 & 5 & 3 & 4 & 2 & 187 894.977 & 65.3 \\ 2 & 5 & 4 & 4 & 3 & 187 898.631 & 88.2 \\ 3 & 5 & 6 & 4 & 5 & 187 904.406 & 183.6 \\ 2 & 5 & 5 & 4 & 4 & 187 905.924 & 116.7 \\ 2 & 5 & 6 & 4 & 5 & 187 913.907 & 151.3 \\ 3 & 5 & 5 & 4 & 4 & 187 916.259 & 148.5 \\ 2 & 5 & 7 & 4 & 6 & 187 918.686 & 192.4 \\ 3 & 5 & 4 & 4 & 3 & 187 926.137 & 119.4 \\ 3 & 5 & 2 & 4 & 1 & 187 930.744 & 48.1 \\ 3 & 5 & 3 & 4 & 2 & 187 931.560 & 96.2 \\ 3 & 6 & 9 & 5 & 8 & 225 462.998 & 435.2 \\ 3 & 6 & 8 & 5 & 7 & 225 468.127 & 370.7 \\ 2 & 6 & 4 & 5 & 3 & 225 468.664 & 142.1 \\ 2 & 6 & 5 & 5 & 4 & 225 472.704 & 176.9 \\ 3 & 6 & 7 & 5 & 6 & 225 476.866 & 313.8 \\ 2 & 6 & 6 & 5 & 5 & 225 479.119 & 218.6 \\ 2 & 6 & 7 & 5 & 6 & 225 486.028 & 267.7 \\ 3 & 6 & 6 & 5 & 5 & 225 486.299 & 264.3 \\ 2 & 6 & 8 & 5 & 7 & 225 491.071 & 324.5 \\ 3 & 6 & 5 & 5 & 4 & 225 494.519 & 222.0 \\ 3 & 6 & 4 & 5 & 3 & 225 499.971 & 187.1 \\ 3 & 6 & 3 & 5 & 2 & 225 501.378 & 114.5 \\ 3 & 7 & 10 & 6 & 9 & 263 031.296 & 649.6 \\ 2 & 7 & 5 & 6 & 4 & 263 036.986 & 257.0 \\ 3 & 7 & 9 & 6 & 8 & 263 037.118 & 566.0 \\ \hline 3 & 7 & 9 & 6 & 8 & 263 037.118 & 566.0 \\ 2 & 7 & 6 & 6 & 5 & 263 041.225 & 305.9 \\ 3 & 7 & 8 & 6 & 7 & 263 044.915 & 491.2 \\ 2 & 7 & 7 & 6 & 6 & 263 047.148 & 363.2 \\ 3 & 7 & 7 & 6 & 6 & 263 053.038 & 425.0 \\ 2 & 7 & 8 & 6 & 7 & 263 053.483 & 429.1 \\ 2 & 7 & 9 & 6 & 8 & 263 058.730 & 503.8 \\ 3 & 7 & 6 & 6 & 5 & 263 060.304 & 367.3 \\ 3 & 7 & 5 & 6 & 4 & 263 065.680 & 318.2 \\ 3 & 7 & 4 & 6 & 3 & 263 068.245 & 216.5 \\ 3 & 8 & 11 & 7 & 10 & 300 593.773 & 922.1 \\ 2 & 8 & 6 & 7 & 5 & 300 599.412 & 416.5 \\ 3 & 8 & 10 & 7 & 9 & 300 600.162 & 817.1 \\ 2 & 8 & 7 & 7 & 6 & 300 603.763 & 481.9 \\ 3 & 8 & 9 & 7 & 8 & 300 607.450 & 722.2 \\ 2 & 8 & 8 & 7 & 7 & 300 609.381 & 557.0 \\ 3 & 8 & 8 & 7 & 7 & 300 614.795 & 637.1 \\ 2 & 8 & 9 & 7 & 8 & 300 615.388 & 641.8 \\ 2 & 8 & 10 & 7 & 9 & 300 620.807 & 736.7 \\ 3 & 8 & 7 & 7 & 6 & 300 621.458 & 561.7 \\ 3 & 8 & 6 & 7 & 5 & 300 626.743 & 496.1 \\ 3 & 8 & 5 & 7 & 4 & 300 629.976 & 360.8 \\ 3 & 9 & 12 & 8 & 11 & 338 149.680 & 1258.7 \\ 2 & 9 & 7 & 8 & 6 & 338 155.243 & 627.0 \\ 3 & 9 & 11 & 8 & 10 & 338 156.564 & 1130.3 \\ 2 & 9 & 8 & 8 & 7 & 338 159.662 & 711.2 \\ 3 & 9 & 10 & 8 & 9 & 338 163.572 & 1013.0 \\ 2 & 9 & 9 & 8 & 8 & 338 165.085 & 806.2 \\ 3 & 9 & 9 & 8 & 8 & 338 170.423 & 906.8 \\ 2 & 9 & 10 & 8 & 9 & 338 170.892 & 912.2 \\ 2 & 9 & 11 & 8 & 10 & 338 176.469 & 1029.3 \\ 3 & 9 & 8 & 8 & 7 & 338 176.685 & 811.5 \\ 3 & 9 & 7 & 8 & 6 & 338 181.886 & 727.2 \\ 3 & 9 & 6 & 8 & 5 & 338 185.533 & 553.8 \\ 3 & 10 & 13 & 9 & 12 & 375 698.240 & 1665.2 \\ 2 & 10 & 8 & 9 & 7 & 375 703.724 & 894.7 \\ 3 & 10 & 12 & 9 & 11 & 375 705.582 & 1511.3 \\ 2 & 10 & 9 & 9 & 8 & 375 708.189 & 999.8 \\ 3 & 10 & 11 & 9 & 10 & 375 712.444 & 1369.6 \\ 2 & 10 & 10 & 9 & 9 & 375 713.480 & 1116.9 \\ 3 & 10 & 10 & 9 & 9 & 375 718.972 & 1240.2 \\ 2 & 10 & 11 & 9 & 10 & 375 719.167 & 1246.1 \\ 2 & 10 & 12 & 9 & 11 & 375 724.894 & 1387.7 \\ 3 & 10 & 9 & 9 & 8 & 375 724.955 & 1122.8 \\ 3 & 10 & 8 & 9 & 7 & 375 730.083 & 1017.6 \\ 3 & 10 & 7 & 9 & 6 & 375 733.996 & 801.8 \\ 3 & 11 & 14 & 10 & 13 & 413 238.667 & 2147.4 \\ 2 & 11 & 9 & 10 & 8 & 413 244.076 & 1225.5 \\ 3 & 11 & 13 & 10 & 12 & 413 246.449 & 1965.9 \\ 2 & 11 & 10 & 10 & 9 & 413 248.572 & 1353.6 \\ 3 & 11 & 12 & 10 & 11 & 413 253.247 & 1797.8 \\ 2 & 11 & 11 & 10 & 10 & 413 253.773 & 1494.9 \\ 2 & 11 & 12 & 10 & 11 & 413 259.391 & 1649.5 \\ 3 & 11 & 11 & 10 & 10 & 413 259.559 & 1643.0 \\ 2 & 11 & 13 & 10 & 12 & 413 265.266 & 1817.5 \\ 3 & 11 & 10 & 10 & 9 & 413 265.343 & 1501.4 \\ 3 & 11 & 9 & 10 & 8 & 413 270.411 & 1373.2 \\ 3 & 11 & 8 & 10 & 7 & 413 274.505 & 1110.7 \\\hline \end{tabular} \end{table}