Rj. Braun et al., ANISOTROPY OF INTERFACES IN AN ORDERED ALLOY - A MULTIPLE-ORDER-PARAMETER MODEL, Philosophical transactions-Royal Society of London. Physical sciences and engineering, 355(1730), 1997, pp. 1787-1833
A multiple-order-parameter theory of ordering on a binary face-centred
-cubic (FCC) crystal lattice is developed, and adapted to provide a co
ntinuum formulation that incorporates the underlying symmetries of the
FCC crystal in both the bulk and gradient-energy terms of the free en
ergy. The theory is used to compute the orientation dependence of the
structure and energy of interphase and antiphase boundaries. The struc
ture of these interfaces compares favourably with previous lattice cal
culations by Kikuchi & Cahn (1962, 1979). Anisotropy is a natural cons
equence of the lattice calculation and the multiple-order-parameter co
ntinuum formulation presented here. This is in contrast to the ad hoc
fashion in which anisotropy is often introduced into a single-order-pa
rameter continuum theory.