<p>Theoretical
descriptions differentiate catalytic activity of material surfaces for the
water oxidation reaction by the stability of the reactive oxygen (O*)
intermediate. The underlying conjecture
is that there are several meta-stable steps of the reaction, each connected by
free energy differences critically dependent on O*. Recently <i>in-situ,
</i>time-resolved spectroscopy of the (<i>photo<br>
</i>)-electrochemical water oxidation reaction identified the vibrational and
optical signatures of O* time-evolution.
However, there has been little connection between these inherently
kinetic experiments and the underlying thermodynamic parameters of the
theory. Here, we discover that
picosecond optical spectra of the O* population modulated by a shift in
reaction equilibria defines an effective equilibrium constant (K<sub>eff</sub>)
containing the relevant free-energy differences. A Langmuir isotherm as a function of
electrolyte pH extracts K<sub>eff</sub> using a model titania system (SrTiO<sub>3</sub>). The results show how to obtain equilibrium
constants of individual reaction steps on material surfaces, which had not been
experimentally accessible previously.
Further, we find that for a photo-excited reaction on a semiconductor
surface tuning past a pH defined by K<sub>eff</sub> doubles the initial O*
population. That the free energies of
the catalytic surface are definable through a time-resolved spectroscopy, alongside
the finding that the surface recollects its explicit equilibrium with the
electrolyte, provides a new and critical connection between theory and
experiment by which to tailor the pathway of water oxidation and other surface
reactions.</p>