Fast relaxational motions in glassy PMMA were investigated through qua
sielastic neutron scattering. As previously found with quasielastic li
ght scattering, the corresponding relaxation time, which is of the ord
er of 10(-11) s, is only slightly temperature dependent, while the rel
axational signal intensity increases rapidly with temperature. To eluc
idate the origin of this behavior, comparison is made between the non-
linearly temperature-dependent part of the mean-square displacement an
d the hole volume fraction, as determined by positron annihilation lif
etime spectroscopy. These two quantities appear to be strongly correla
ted. A model, which takes into account the presence of holes in the gl
assy matrix, is proposed to explain the Debye-Waller factor behavior.