AB-INITIO DETERMINATION OF STRUCTURAL STABILITY IN FCC-BASED TRANSITION-METAL ALLOYS

被引:57
作者
WOLVERTON, C
CEDER, G
DEFONTAINE, D
DREYSSE, H
机构
[1] LAWRENCE BERKELEY LAB, DIV MAT SCI, BERKELEY, CA 94720 USA
[2] MIT, DEPT MAT SCI, CAMBRIDGE, MA 02139 USA
[3] UNIV CALIF BERKELEY, DEPT MAT SCI & MINERAL ENGN, BERKELEY, CA 94720 USA
[4] UNIV NANCY, PHYS SOLIDE LAB, VANDOEUVRE LES NANCY, FRANCE
关键词
D O I
10.1103/PhysRevB.48.726
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
A cluster expansion is used to determine the energy of substitutionally disordered alloys as a function of configuration. The expansion is exact in the sense that the basis functions are complete and orthonormal. The coefficients, effective cluster interactions (ECI's), are computed directly from their definition by means of the method of direct configurational averaging, which is described in detail in the context of a tight-binding linear muffin-tin orbital (TB-LMTO) Hamiltonian. The alloy Hamiltonian is constructed from a combination of the pure-element TB-LMTO Hamiltonians, the hopping integrals between unlike pairs of atoms (simply given by the geometric mean of the pure-element integrals), and the potentials of the alloy, which are computed consistent with the condition that each configurationally averaged atom of the alloy be neutral. This scheme of self-consistency is tested against the results of fully self-consistent LMTO calculations on ordered compounds. The ECI's are computed on the fcc lattice for six alloy systems: Rh-Ti, Rh-V, Pd-Ti, Pd-V, Pt-Ti, and Pt-V. It is shown how the ECI's may be used in conjunction with properties of the energy expansion to exactly solve for the ground-state superstructures of fcc. This ground-state search is contingent upon minimizing the configurational energy subject to a number of geometric constraints. A large number of these constraints are formulated using group-theoretic means on the (13-14)-point clusters of the fcc lattice. The use of this large number of constraints makes possible the inclusion of fourth-nearest-neighbor pair ECI's as well as multiplet ECI's in the ground-state search. Both these types of interactions are shown to be essential towards obtaining a convergent energy expansion. In all six alloy systems, agreement between the theoretically predicted ground states and the experimental evidence of fcc superstructures is excellent: in no case is an unambiguously experimentally determined fcc-based phase missing from the results of the ground-state search.
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页码:726 / 747
页数:22
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