Water (H2O) ice is an important solid constituent of many astrophysical env
ironments. To comprehend the role of such ices in the chemistry and evoluti
on of dense molecular clouds and comets, it is necessary to understand the
freeze-out, potential surface reactivity and desorption mechanisms of such
molecular systems. Consequently, there is a real need from within the astro
nomical modelling community for accurate empirical molecular data pertainin
g to these processes. Here we give the first results of a laboratory progra
mme to provide such data. Measurements of the thermal desorption of H2O ice
, under interstellar conditions, are presented. For ice deposited under con
ditions that realistically min-tic those in a dense molecular cloud, the th
ermal desorption of thin films (much less than 50 molecular layers) is foun
d to occur with zeroth-order kinetics characterized by a surface binding en
ergy, E-des, of 5773 +/- 60 K, and a pre-exponential factor, A, of 10(30 +/
-2) molecules cm(-2) s(-1). These results imply that, in the dense interste
llar medium, thermal desorption of H2O ice will occur at significantly high
er temperatures than has previously been assumed.