Quasi-elastic neutron scattering allows to characterise molecular diffusion
of species adsorbed in porous materials. Diffusion coefficients can be der
ived, without a model, over space scales where the molecular motion follows
Fick's law. Furthermore, using jump diffusion models, one can determine ch
aracteristic times and distances for the elementary jumps. These experiment
al results are of value to understand separation processes and shape-select
ivity in catalysis, and also to test molecular simulations performed on the
se systems. Applications of the QENS technique reviewed here concern mainly
molecules adsorbed in zeolites, some results obtained in microporous silic
a are also presented.