We report elastic neutron scattering experiments which explore the eff
ects of size mismatch and relative composition on the freezing of bina
ry two-dimensional mixtures. We coadsorb on graphite at low temperatur
e two different species, Ar-36 and D-2. Due to its large quantum motio
n, deuterium is highly compressible (more than 50%) when adsorbed as a
solid monolayer on graphite. It can therefore span a large range of s
ize mismatch with respect to Ar. Results obtained at 20 K for various
partial coverages of Ar and D-2 show that three phases coexist on the
surface, two Ar-rich hexagonal solids and a D-2-rich phase which itsel
f can be disordered or a hexagonal solid, depending on the D-2 partial
coverage.