In addition to an increased accuracy in the determination of structural parameters sub- Doppler spectroscopy of large molecules is shown to render valuable information about intramolecular processes and relaxation mechanisms. As an example we have measured the Doppler-free rotationally resolved two-photon spectrum of two vibronic bands of CsHs, 1461; and 14i1;. Compared with the 14i1: band (EcxE :,:=css 2492 cm-') a drastically reduced number of sharp lines is observed in the 14i1; band (Eence=ss 3 412 cm-I). The X = 0 rotational lines are still seen, while K # 0 lines disappear. This can be understood in terms of Coriolis coupling between the 14'1' state and other vibrational states within S1 and a subsequent om-radiative process. This cou...