\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}