Doppler-free two-photon absorption is demonstrated for cold molecules in a
supersonic beam with a spectral resolution of 10 MHz. It was realized using
a frequency stabilized tunable external concentric resonator placed within
the vacuum chamber and crossed by the molecular beam. The achieved high re
solution allows us to resolve single rotational lines in the S-1 <-- S-o, 1
4(o)(1) two photon vibronic band of benzene molecules. The theoretical anal
ysis of the symmetric top rotational line structure of the isotropic Q-bran
ch in a totally symmetric two-photon band leads to accurate rotational cons
tants and a value for the rotational temperature achieved at various distan
ces from the nozzle orifice in the cold molecular beam. The smallest linewi
dth of the rotational lines is 8.5 MHz and given by the flight time of the
molecules in the supersonic beam through the laser beam waist in the resona
tor and the laser bandwidth.