Below the freezing point, experimental data provide evidence for the e
xistence of a non-frozen interface layer (NFL) between the crystal in
the pore and the pore walls. The molecules in this layer are effective
ly confined in a quasi-two-dimensional space that forces them to reori
ent when moving along the curved pore surface. Through this relaxation
mechanism, the translational mobility in the unfrozen phase reveals i
tself in a pronounced frequency dependence of the spin-lattice relaxat
ion time. The experimentally observed drop of the self-diffusion coeff
icients by more than one order of magnitude below the phase transition
can be interpreted in terms of geometric restrictions as well as inte
ractions with the surface. (C) 1998 Elsevier Science Inc.