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We present theoretical study of ordering phenomena in binary $C_{1-x}B_{x}$,$C_{1-x}N_{x}$ and ternary $B_{x}C_{1-x-y}N_{y}$ alloys formingtwo-dimensional, graphene-like systems. For calculating energy of big systems(20 000 atoms in the supercell with periodic boundary conditions assumed)empirical Tersoff potential was employed. In order to find equilibriumdistribution of different species corresponding to minima of the energy, we useMonte Carlo approach in Metropolis regime. We take into consideration widerange of concentrations (1-50%) and temperatures (70-1500 K), to provide morecomplete picture. For quantitative description of order, we determineWarren-Cowley Short Range Order (SRO) parameters for the first coordinationshell. This procedure allows us to determine energetically favorablecompositions of all alloys, and characterize resulting types of order for bothbinary and ternary systems.

Ordering effects in 2D hexagonal systems of binary and ternary BCN alloys