Protonic–electronic
mixed-conducting perovskites are relevant
as cathode materials for protonic ceramic fuel cells (PCFCs). In the
present study, the relation between the electronic structure and the
thermodynamics of oxygen nonstoichiometry and hydration is investigated
for BaFeO3−δ and Ba0.5Sr0.5FeO3−δ by means of density functional theory.
The calculations are performed at the PBE + U level and yield ground-state
electronic structures dominated by an oxygen-to-metal charge transfer
with electron holes in the O 2p valence bands. Oxygen nonstoichiometry
is modeled for 0 ≤ δ ≤ 0.5 with oxygen vacancies
in doubly positive charge states. The energy to form an oxygen vacancy
is found to increase upon reduction, i.e., decreasing concentration
of ligand holes. The higher vacancy formation energy in reduced (Ba,Sr)FeO3−δ is attributed to a higher Fermi level at which
electrons remaining in the lattice from the removed oxide ions have
to be accommodated. The energy for dissociative H2O absorption
into oxygen vacancies is found to vary considerably with δ,
ranging from ≈−0.2 to ≈−1.0 eV in BaFeO3−δ and from ≈0.2 to ≈−0.6
eV in Ba0.5Sr0.5FeO3−δ. This dependence is assigned to the annihilation of ligand holes
during oxygen release, which leads to an increase in the ionic charge
of the remaining lattice oxide ions. The present study provides sound
evidence that p-type electronic conductivity and the susceptibility
for H2O absorption are antagonistic properties since both
depend in opposite directions on the concentration of ligand holes.
The reported trends regarding oxygenation and hydration energies are
in line with the experimental observations.