The spectrum of the molecular eigenstates (ME) belonging to the various rotational
members of the 1B3u (0–0) transition of pyrazine was measured with a very narrow
band laser in a molecular beam with a Doppler width of 30 MHz.It is shown that, when the ME's belonging to a single rotational state are Fourier-transformed,
the beating decays of these states are obtained. A problem is constituted
by the lack of a fast component in these reconstructions, while it is observed in
experiments on higher J-states.