Deviations from Vegard’s law in ternary III-V alloys

Abstract
Vegard’s law states that, at a constant temperature, the volume of an alloy can be determined from a linear interpolation of its constituent’s volumes. Deviations from this description occur such that volumes are both greater and smaller than the linear relationship would predict. Here we use special quasirandom structures and density functional theory to investigate such deviations for MxN1−xAs ternary alloys, where M and N are group III species (B, Al, Ga, and In). Our simulations predict a tendency, with the exception of AlxGa1−xAs, for the volume of the ternary alloys to be smaller than that determined from the linear interpolation of the volumes of the MAs and BAs binary alloys. Importantly, we establish a simple relationship linking the relative size of the group III atoms in the alloy and the predicted magnitude of the deviation from Vegard’s law.

Citation
Murphy ST, Chroneos A, Jiang C, Schwingenschlögl U, Grimes RW (2010) Deviations from Vegard-s law in ternary III-V alloys. Phys Rev B 82. doi:10.1103/PhysRevB.82.073201.

Publisher
American Physical Society (APS)

Journal
Physical Review B

DOI
10.1103/PhysRevB.82.073201

Additional Links
http://link.aps.org/doi/10.1103/PhysRevB.82.073201

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