The effect of termination
and cation distribution on the stability
of low-index MgAl2O4 and ZnFe2O4 surfaces is investigated theoretically at the generalized
gradient approximation and self-consistent hybrid density functional
theory level. MgAl2O4 is the prototype AB2O4 spinel, and ZnFe2O4 belongs
to the spinel-type ferrites that have been proposed as photocatalysts
for water splitting (Taffa, D. H.; Dillert, R.; Ulpe, A. C.; Bauerfeind,
K. C. L.; Bredow, T.; Bahnemann, D. W.; Wark, M. J. Photonics
Energy. 2016,
7, 012009). Because
the catalytic activity of different surfaces of the same material
can vary significantly, it is of utmost importance to determine the
most relevant surface terminations. Spinels can easily undergo an
interchange of cations on A and B sites, the so-called inversion.
We therefore studied the low-index surfaces (100), (110), and (111)
of both normal and fully inverse MgAl2O4 and
ZnFe2O4. For each surface, the surface energy
of several possible terminations was calculated with symmetric and
stoichiometric slab models. It is found that the surfaces of inverse
spinels are less stable than the corresponding normal surfaces. This
indicates that full inversion is not facilitated in nanoparticles
with a large surface-to-bulk ratio, which are used, for example, in
photocatalysis. The Wulff theorem is applied to determine the equilibrium
shapes of MgAl2O4 and ZnFe2O4 crystallites. For all compounds, {100} facets dominate the
single-crystal surface.