Cluster expansions of alloy energetics in ternary intermetallics

C. Wolverton*, D. De Fontaine

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

68 Scopus citations


Ternary alloy energetics are examined for substitutional systems by a formal cluster expansion. In contrast to the binary-alloy problem, several distinct basis sets are possible for the ternary cluster expansion. Several of these sets of ternary basis functions are examined and compared, and relationships are derived between the expansion coefficients, or effective cluster interactions, expressed in various bases. The method of direct configurational averaging (DCA) (based on a tight-binding, linearized muffin-tin-orbital Hamiltonian) is extended to treat ternary alloy systems. Using the DCA, ternary, fcc-based effective pair and triplet interactions are computed for the Rh-V-Ti, Pd-Rh-V, and Ag-Pd-Rh systems, and convergence of the expansion is examined. By combining the cluster expansion with the results of the DCA computations, formation energies are obtained for the completely disordered state as a function of alloy composition. Both pair and triplet interactions are seen to be crucial towards obtaining quantitatively converged energetics.

Original languageEnglish (US)
Pages (from-to)8627-8642
Number of pages16
JournalPhysical Review B
Issue number13
StatePublished - 1994

ASJC Scopus subject areas

  • Condensed Matter Physics


Dive into the research topics of 'Cluster expansions of alloy energetics in ternary intermetallics'. Together they form a unique fingerprint.

Cite this