Global optimization and data-mining
techniques have been used to
generate the structures of Mg and Cd doped ZnO nanoclusters. The energy
has been evaluated at three levels: interatomic potentials during
the filtering stage, generalized gradient based (PBE) density functional
theory during the refinement of structures, and hybrid (PBE0) density
functional theory for the final electronic solutions used for the
prediction of the cluster optical absorption spectra. The excitonic
energies have been obtained using time-dependent density functional
theory including asymptotic corrections. We considered three characteristic
sizes of the host (ZnO)
n
cluster (n = 4, 6, 8) including all chemically sensible structural
types as determined from their relative energy rankings and all possible
dopant permutations. Thus, an exhaustive set of the solution structures
could be assessed using configurational entropic contributions to
the cluster free energy, which allowed us to draw a conclusion as
to the oxide miscibility at this end of the size scale. With the exception
of low temperature magnesium doped n = 4 and 6 nanoclusters,
we find a continuous series of stable clusters. The former are predicted
to disproportionate to the pure binary structures, which could be
attributed to the competition between different structural types adopted
by end members. The optical behavior of most stable clusters considered
is contrary to the quantum confinement model.