Inelastic neutron scattering has been used to study molecular tunnelli
ng in the p-tert-butylcalix[4]arene(2:1)p-xylene complex. At low tempe
rature the measured spectra show several bands between 0.63 and 2.6 me
V which are interpreted as being due to transitions between tunnel-spl
it librational states of the p-xylene methyl groups. Effects of coupli
ng between a CH3 group and the whole p-xylene molecule have been obser
ved. The rotational barrier provided by the host lattice is very small
and the methyl groups behave as almost free quantum rotors.