Ai. Shushin, ELECTRON-SPIN POLARIZATION IN RADICAL PAIR RECOMBINATION IN MICELLES - CAGE AND SUPERCAGE MODELS, The Journal of chemical physics, 101(10), 1994, pp. 8747-8755
Characteristic features of chemically induced dynamic electron polariz
ation (CIDEP) in radical pair (RP) recombination in micelles are analy
zed theoretically. The confinement effect of micelles is modeled by th
e spherical stepwise potential well for the radicals. The accurate and
rigorous analytical expression for the multiplet CIDEP at long times
is derived by solution of the stochastic Liouville equation (SLE) for
the RP spin density matrix. It is shown that in the limits of weak and
strong hyperfine interactions in the radicals, the rigorous analytica
l results can be interpreted within the simple exponential models whic
h are called the cage and supercage models, respectively. These models
enable us to reduce the complicated SLE describing diffusive motion o
f radicals within the potential well to the Bloch-type equations. The
cage and supercage models are applied to the. analysis of the CIDEP ge
neration kinetics and the electron-spin resonance (ESR) line shape of
spin correlated RPs in micelles. The models make; it possible to predi
ct simple relations of characteristic parameters of kinetics and the l
ine shape with the parameters of the general problem: diffusion coeffi
cients, the size and depth of the potential well, etc.