We
present a phase stability analysis of ternary mixtures of alkaline-earth
hexaborides using insights from DFT calculations to determine the
effect of homogeneity on properties including stability and domain
formation. We find that linear mixing rules and Vegard’s law
type, describe very well octahedral volumes, inter and intraoctahedral
bond lengths, lattice constants, bulk moduli, cation–facial
distances for the mixtures of M
x
1M1–x
2B6, where
M
k
can be Ca, Ba, or Sr, and composition
(x) ranges from 0 to 1. In general, variations are
less than 5% of the calculated mixture properties with positive deviations,
except the interoctahedral boron bond lengths in systems with Ba.
We find that doping with lighter cations may be an effective means
of strengthening MB6 materials. Electronic structure calculations
predict that the lattice constants and interoctahedral bond lengths
with a mixture are identical, as the degree of homogeneity increases,
indicative of formation of a single phase. However, bond lengths within
the boron framework are found to be heavily dependent upon the local
cation environment, and energies taken at absolute zero suggest phase
splitting as a general tendency for certain stoichiometric ratios,
in particular, for compositions at the 50% levels, which is in agreement
with experimental evidence. The phase shifted regions are likely the
product of the slight mismatch between interoctahedral bonds. These
nanoregimes are interpreted as regions that have not yet fully mixed.