The bimolecular ionization of photoexcited molecules is theoretically inves
tigated assuming the light pumping of moderate intensity is either instanta
neous or permanent. The kinetics of energy quenching and ion-radical accumu
lation and recombination after delta -pulse excitation are studied beyond t
he rate concept, in the framework of Integral Encounter Theory (IET). The r
esults are compared with those obtained within extended Unified Theory (UT)
, contact and Markovian approximations, and a widely accepted exponential m
odel. When there is a shortage of accepters the theory becomes nonlinear an
d discloses the striking effect of electron-transfer saturation. In such co
nditions and under permanent illumination IET is the sole formalism appropr
iate for a full time-scale (non-Markovian) description of system relaxation
. The original program for solving nonlinear IET equations for particle con
centrations was developed and first used to calculate the kinetics of relax
ation to equilibrium and to a stationary regime. The non-Markovian correcti
ons to the quantum yields of fluorescence and charge separation obtained nu
merically are in good correspondence with analytic estimates of these quant
ities.