The energetics of various surface alloys of manganese on copper (111) are c
alculated and their stability against clustering and/or interdiffusion is d
etermined by an ab initio method. The interplay between stoichiometry, chem
ical, and magnetic ordering allows for a large variety of ordered alloys; o
nly two are found to be stable against clustering: a 33% alloy and a 50% al
loy of antiferromagnetically ordered Mn chains. Thermodynamic consideration
s indicate that only the 33% alloy will be formed at temperatures typical f
or epitaxial growth. The results;are compared to recent scanning tunneling
microscopy experiments.