A modification of the non-Markovian encounter theory. III. Hopping and diffusion mechanisms of reactions Original Research Article

The exact kinetic law has been calculated for the hopping mechanism of the reaction A + B → B with allowance for the mobility of both reactants. The binary kinetics depending solely on the relative motion parameters has been extracted. It is shown that in the same time interval the binary kinetics is correctly described by both the non-Markovian differential theory and the encounter theory. The binary kinetics extraction principle is formulated. Generalization of this principle to diffusion motion shows that the encounter theory does not allow for all necessary binary terms, and, therefore, needs modification. The required modification of the kernel of the encounter theory equation for the reactions A + B → B and A + B → C has been performed.