We present results of the analysis of quasi-elastic and inelastic inco
herent neutron scattering of H2O contained in pores of Vycor glass. At
room temperature and 50% hydration, the single particle motions of wa
ter molecules can be described as a series of short time jump diffusio
ns in a confined space of 5 angstrom with a residence time tau0 of 8 p
s. As the temperature is lowered the residence time increases rapidly
to 19 ps at -15-degrees-C. However, the translational diffusion consta
nt is similar to the corresponding bulk value at each temperature. The
peaks in the density of states for the translational motions as well
as for the librational motions are slightly up-shifted compared to tha
t of bulk water due to the confinement near the surface.