The latest neutron electric dipole moment (EDM) experiment has been collect
ing data at the Institut Laue-Langevin (ILL), Grenoble, since 1996. It uses
an atomic-mercury magnetometer to compensate for the magnetic field fluctu
ations that were the principal source of systematic errors in previous expe
riments. The first results, in combination with the previous ILL measuremen
t, yield a possible range of values of (-7.0 < d(n) < 5.0) x 10(-26)e cm (9
0% C.L.). This may be interpreted as an upper limit on the absolute value o
f the neutron EDM of \d(n)\ < 6.3 x 10(-26)e cm (90% C.L.).