“…The rate of photoinduced silver metal deposition was analyzed using a Stern-Volmer plot, a popular method in the field of photochemistry; almost linear double-reciprocal plots of the (apparent) quantum efficiency for the deposition (Ф) as a function of concentration of silver ion (Ag + ) in solutions (C Ag ) were obtained for both TiO 2 and ZnO crystals, as (9) where Ф lim , and C L are constants. In the first approximation for interpretation of the meaning of Equation 9, the authors assumed a reaction mechanism in which electrons photoexcited by the efficiency react with surface-adsorbed Ag + (with the surface concentration N Ag ) to give deposits with a rate constant k 3 , otherwise e − is deactivated with a rate constant k 4 , as (10) This equation can be derived by "steady-state (stationary-state) approximation", which is often employed for reactions induced by short-lived active species such as the photoexcited state of a given material (e − and h + in a photocatalyst), based on the assumption of a constant concentration of e − that is produced by photoabsorption of a photocatalyst and consumed by (a) surface reaction and (b) recombination with holes. Thus, the rate of photocatalytic reaction is governed by the rate of recombination (k 4 ), though analysis of actual data using Equation 10 gives only the ratio of rate constants, k 3 /k 4 .…”