TY - JOUR

T1 - Interfacial adsorption in ternary alloys

AU - Huang, C.

AU - Olvera De La Cruz, M.

AU - Voorhees, P. W.

N1 - Funding Information:
M.O. and C.H. acknowledge financial support from the National Science Foundation through grant DMR-9509838, and the Ford Motor Co. P.V. acknowledges the financial support of the National Science Foundation through grant DMR-9707073.

PY - 1999/11/26

Y1 - 1999/11/26

N2 - Interfaces of A-B-C ternary alloys decomposed into two and three phases are studied. The effect of the gradient energy coefficients κII, I = A, B, C, on the interface composition profiles of ternary alloys is examined. The adsorption of component C in ternary alloys is obtained numerically by finding steady-state solutions of the nonlinear Cahn-Hilliard equations and by solving the two Euler-Lagrange equations resulting from minimizing the interfacial energy, and analytically near the critical point. It is found that the solutions from both numerical methods are identical for a two-phase system. In symmetric ternary systems (equal interaction energy between each pair of components) with a minority component C, the gradient energy coefficient of C, κCC, can have a very strong influence on the degree of adsorption. In the α and β two-phase regions, where α and β are the phases rich in the majority components A and B, respectively, as κCC increases, the adsorption of the minority component C in the α and β interfaces decreases. Near a critical point, however, the degree of adsorption of minority component C is independent of the gradient energy coefficient.

AB - Interfaces of A-B-C ternary alloys decomposed into two and three phases are studied. The effect of the gradient energy coefficients κII, I = A, B, C, on the interface composition profiles of ternary alloys is examined. The adsorption of component C in ternary alloys is obtained numerically by finding steady-state solutions of the nonlinear Cahn-Hilliard equations and by solving the two Euler-Lagrange equations resulting from minimizing the interfacial energy, and analytically near the critical point. It is found that the solutions from both numerical methods are identical for a two-phase system. In symmetric ternary systems (equal interaction energy between each pair of components) with a minority component C, the gradient energy coefficient of C, κCC, can have a very strong influence on the degree of adsorption. In the α and β two-phase regions, where α and β are the phases rich in the majority components A and B, respectively, as κCC increases, the adsorption of the minority component C in the α and β interfaces decreases. Near a critical point, however, the degree of adsorption of minority component C is independent of the gradient energy coefficient.

KW - Interface

KW - Phase equilibria

KW - Spinodal decomposition

KW - Thermodynamics

UR - http://www.scopus.com/inward/record.url?scp=0001630486&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0001630486&partnerID=8YFLogxK

U2 - 10.1016/S1359-6454(99)00229-3

DO - 10.1016/S1359-6454(99)00229-3

M3 - Article

AN - SCOPUS:0001630486

VL - 47

SP - 4449

EP - 4459

JO - Acta Materialia

JF - Acta Materialia

SN - 1359-6454

IS - 17

ER -