“…Even though the model is spatially zero-dimensional, an optical pathlength over which light is absorbed, c = 10 nm, is assumed so that areal rates of photon absorption can be converted into average volumetric reaction rates, via division by c. This value for c is the approximate thickness of space-charge regions in state-of-the-art bipolar ion-exchange membranes 6,32,35 that are responsible for charge separation in our previously reported visible-light-driven proton pumps. 2,4,6 Moreover, the model assumes spatially invariant rates of photon absorption and subsequent reactions. For the base-case model we assume excited-state lifetimes, t 7,PAH* = t 8,PA À * = 5 ns, for all singlyexcited photoacid and photobase species, because this is the approximate excited-state lifetime of several well-known visiblelight-absorbing organic photoacid and photobase dyes (Table S1, ESI †).…”