Charge
recombination between electrons injected into TiO2 (TiO2(e–)s) and acceptors at the dye-sensitized
electrolyte interface have been quantified by measurement of the open-circuit
photovoltage, V
OC, as a function of the
incident photon flux. Literature reports indicate that the order of
the reaction with respect to TiO2(e–)s
is less than unity, typically 0.5–0.85. Herein, an alternative
model is proposed and tested that incorporates a characteristic temperature T
0 to model the density of acceptor states and
photon flux-dependent TiO2(e–) lifetimes
to account for shorter lifetimes at higher concentrations. Tests of
this model with standard dye-sensitized solar cells based on the ditetrabutylammonium
salt of cis-Ru(dcb)2(NCS)2 (N719,
where dcb is 4,4′-(CO2H)2-2,2′-bipyridine)
sensitizers in iodide/iodine acetonitrile electrolytes under 0.1–5
sun illumination revealed a reaction that is first-order in TiO2(e–)s with T
0 = 1150 K. The first-order reactivity is consistent with an underlying
TiIV/III redox reaction, and the kinetic data under 1 sun
illumination suggests recombination to molecular iodine, I2. Other implications for solar energy conversion and quantitative
analysis of dye-sensitized solar cells are discussed.