We present a theoretical study of the structural stability of ordered
configurations of BxC1-x solid solutions with the graphite structure.
The calculations were carried out self-consistently using norm-conserv
ing pseudopotentials in the local-density approximation. The cohesive
energies of a number of ordered structures at different compositions x
have been subjected to a cluster expansion, which enables us to predi
ct the cohesive energy of the random alloy at the corresponding compos
itions and to gain insight on the tendency of the system towards order
ing. We find that, at T = 0 K, some ordered configurations have a cohe
sive energy higher than the corresponding random distribution at the s
ame compositions. The inspection of the cluster interactions leads mor
eover to the conclusion that segregation of boron in graphite is highl
y discouraged and long-range order is likely to occur.