G. Ceder et al., GROUND-STATES OF A TERNARY FCC LATTICE MODEL WITH NEAREST-NEIGHBOR AND NEXT-NEAREST-NEIGHBOR INTERACTIONS, Physical review. B, Condensed matter, 49(1), 1994, pp. 1-7
The possible ground states of a ternary fcc lattice model with nearest
- and next-nearest-neighbor pair interactions are investigated by cons
tructing an eight-dimensional configuration polytope and enumerating i
ts vertices. Although a structure could not be constructed for most of
the vertices, 31 ternary ground states are found, some of which corre
spond to structures that have been observed experimentally.