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The 4d-transition-metals carbides (ZrC, NbC) and nitrides (ZrN, NbN) in therocksalt structure, as well as their ternary alloys, have been recently studiedby means of a first-principles full potential linearized augmented plane wavesmethod within the local density approximation. These materials are importantbecause of their interesting mechanical and physical properties, which makethem suitable for many technological applications. Here, by using a simpletheoretical model, we estimate the bulk moduli of their ternary alloysZr$_x$Nb$_{1-x}$C and Zr$_x$Nb$_{1-x}$N in terms of the bulk moduli of the endmembers alone. The results are comparable to those deduced from thefirst-principles calculations.

On the compressibility of the transition-metal carbides and nitrides alloys Zr_xNb_{1-x}C and Zr_xNb_{1-x}N