20.3.3 Specifying weights in state-averaged calculations

WEIGHT, $w(1),w(2),\ldots, w($nstate$)$;

$w(i)$ is the weight for the state $i$ in the present symmetry. By default, all weights are 1.0. See also STATE card. If you want to optimize the second state of a particular state symmetry alone, specify

STATE,2;WEIGHT,0,1;

Note, however, that this might lead to root-flipping problems.