Ai. Shushin, Manifestation of anisotropic reactivity and molecular interactions in chemical reaction kinetics, J CHEM PHYS, 110(24), 1999, pp. 12044-12058
The effect of highly anisotropic reactivity and interaction between molecul
es on kinetics of diffusion-influenced liquid-phase reactions is analyzed i
n detail. The Smoluchowski equation (SE) that describes the space/time evol
ution of pairs of reacting molecules is solved analytically by the method p
roposed earlier [A. I. Shushin, Chem. Phys. Lett. 130, 452 (1986); Chem. Ph
ys. 120, 91 (1988)]. The method allows for reducing the original SE in curv
ilinear translational/rotational coordinates of reacting molecules to the S
E in the local Cartesian coordinates in the vicinity of reactive relative o
rientations. Many formulas for the reaction rate are derived in the realist
ic models of reactivity using this method. Analysis demonstrates high accur
acy of these formulas. The model of reactive patches is shown to give react
ion rates that are considerably smaller than those predicted here. Peculiar
ities of reaction kinetics for molecules with anisotropic reactivity and in
teraction potential are analyzed in detail. Possible applications of the ob
tained formulas are briefly discussed. (C) 1999 American Institute of Physi
cs.