Intermediate scattering functions for density fluctuation in D2O contained
in pores of a Vycor glass have been measured using an improved neutron spin
-echo spectrometer at two supercooled temperatures. The measurements cover
the time range from 1 to 2300 ps with the Q range spanning the first diffra
ction peak of water. The time correlation functions can be fitted to a stre
tched exponential relaxation function with a e-dependent amplitude. Both th
e stretch exponent and the relaxation time peak approximately at the Q valu
e corresponding to the first diffraction peak, confirming the validity of t
he mode couplings idea in supercooled water.