The van’t
Hoff method is a standard approach for determining
reaction enthalpies and entropies, e.g., in the thermochemical reduction
of oxides, which is an important process for solar thermochemical
fuels and numerous other applications. However, by analyzing the oxygen
partial pressure pO2, e.g., as measured
by thermogravimetric analysis (TGA), this method convolutes the properties
of the probe gas with the solid-state properties of the examined oxides,
which define their suitability for specific applications. The “chemical
potential method” is here proposed as an alternative. Using
the oxygen chemical potential ΔμO instead of pO2 for the analysis, this method does not only
decouple gas-phase and solid-state contributions but also affords
a simple and transparent approach to extracting the temperature dependence
of the reduction enthalpy and entropy, which carries important information
about the defect mechanism. For demonstration of the approach, this
work considers three model systems; (1) a generic oxide with noninteracting,
charge-neutral oxygen vacancy defects, (2) Sr0.86Ce0.14MnO3(1−δ) alloys with interacting
vacancies, and (3) a model for charged vacancy formation in CeO2, which reproduces the extensive experimental TGA data available
in the literature. The reduction behavior of these model systems obtained
from the chemical potential method is correlated with simulated results
for the thermochemical water splitting cycle, highlighting the exceptional
behavior of CeO2, which originates from defect ionization.
The theoretical performance limits for solar thermochemical hydrogen
within the charged defect mechanism are assessed by considering hypothetical
materials described by a variation of the CeO2 model parameters
within a plausible range.