Synthetic spectrum of the Sun near the 1−0 ro-vibrational band of CH compared to the observed solar spectrum (ACE; Bernath et al. 2005; dotted line). The red line includes the J-dependence correction (see text) while the blue does not. The first 3 panels from left to right show from the R branch, for which intensity increases with increasing J. The increasing relative strength between the synthesis with and without the J-dependence correction demonstrates the rotational dependence of the transition moment for CH. The two right panels show lines from the P branch. The fact that the J-dependence correction is not the same as for R branches is due to the Herman-Wallis effect.