The crystallographic and magnetic structures of alpha-FeMoO4 and alpha
-CoMoO4 were determined by elastic neutron scattering. Both compounds
were prepared by subsolidus reaction and crystallize in space group C2
/m. For the first compound the magnetic unit cell has doubled b- and c
-axes with respect to the crystallographic cell, i.e. k = (0, 1/2, 1/2
) and the magnetic space group is P2'. The magnetic moments are collin
ear within each sublattice for the two different crystallographic site
s and aligned along [010] for the ions on screw axes and along [100] f
or the other site. The absolute values at T = 1.5 K are \mu(Fe2+)\ = 2
.1(2)mu(B), and 2.0(2)mu(B),. In a specific heat measurement with a po
wder sample of alpha-CoMoO4 two phase transitions at T-1 = 6 K and T-2
=12 K are observed. We have determined the low temperature phase with
the magnetic cell doubled along the a- and c-axes, i.e. k = (1/2, 0, 1
/2) and the magnetic space group is Pm', The magnetic moments are coll
inear aligned along [001] for both sites and the absolute values at T
= 1.5 K are \mu(Co2+)\ = 1.50(20)mu(B) and 1.35(20)mu(B) for the two d
ifferent crystallographic sites.