R. Phillips et al., ELECTRONIC-STRUCTURE-BASED PAIR POTENTIALS FOR ALUMINUM-RICH COBALT COMPOUNDS, Physical review. B, Condensed matter, 49(14), 1994, pp. 9322-9330
A method for calculating ''constant volume'' pair potentials in Al-ric
h transition-metal compounds is presented. The method is based on a co
mbination of a Green's-function analysis of the interaction between tr
ansition-metal d shells, and a perturbative treatment of the Al and tr
ansition-metal pseudopotentials. In addition to the d-shell interactio
ns, the pair potentials include terms describing interactions between
pseudopotentials on different atoms, as well as interactions between t
he pseudopotential on one atom and the charge density induced by the d
shell on another atom. The potentials are parametrized by use of both
ab initio total-energy results and experimental inputs. The methodolo
gy is tested by calculating the energies of many different structures
at the Al-rich end of the Al-Co phase diagram. The potentials correctl
y predict the sequence of complex phases that occurs with increasing C
o content, with just one exception. The complex phases are favored rel
ative to simpler fcc-based phases by a large energy due mainly to shor
t-ranged spacing constraints. The Co-Co potential has a secondary mini
mum at 4.4 angstrom which coincides with the Co-Co spacings in the com
plex structures, and thus further enhances their stability.