The grand canonical Monte Carlo method is used to study a binary mixtu
re of Lennard-Jones atoms confined to an atomically structured slit mi
cropore which is in thermodynamic equilibrium with its bulk phase coun
terpart. In one example, the mixture consists of atoms of two distinct
sizes, but with the same minimum depth in potential energy. In anothe
r example a binary mixture of different size atoms is again considered
, but in the latter case the larger atom has a deeper potential energy
minimum. Three mechanisms are found which influence selective adsorpt
ion of a mixture species: (i) liquid-like fluid layering, (ii) inplane
solid-like ordering and (iii) molecular sieving. The large atoms are
completely eliminated from the pore when the wall separation is physic
ally too small for the large atoms to fit, or when both species physic
ally fit in the pore and the small component epitaxially aligns with t
he surface or freezes. Complete elimination of the small species is no
t observed. A significant excess of large atoms in the pore relative t
o the composition in the bulk phase is found only when the large atoms
attain transverse order within the fluid layers. The adsorption of th
e large component is either enhanced or reduced depending on the relat
ive magnitude of the potential energy well depth of the fluid and wall
species.