Although zinc oxide (ZnO) is a widely
studied nanomaterial and
a useful photocatalyst, the structures predicted by traditional morphology
models, such as the Wulff construction, are largely inconsistent with
experimental observations. As well as being scientifically perplexing,
this disparity hinders our ability to predict the conditions requires
to produce specific ZnO nanostructures on demand. Using density functional
theory calculations we compute and compare the surface and edge energies
for surfaces of zinc oxide and their intersections, and use a nanomorphology
model to predict the thermodynamically optimal shape of zinc oxide
nanoparticles and nanowires as a function of size and aspect ratio.
We find that edge energies play a significant role in determining
the optimal morphology of small nanowires, with hexagonal cross sections
preferred for cross sectional areas below 10 nm2 and dodecagonal
cross sections thermodynamically stable for larger nanostructures.