A many-particle treatment of the reversible reaction A+B⇔C+B

Abstract

A many-particle consideration of diffusion-influenced reversible pseudo-first order reaction A+B⇌C+B is presented. It is shown that the lowest order (in concentration) of the memory matrix is not sufficient for describing the binary kinetics of the reaction. Binary kinetic equations describing both stationary and nonstationary stages of the kinetics have been obtained using diagrammatic representation and selecting the necessary diagrams. Comparison with the fully renormalized kinetic theory is made by considering the contact approximation for reactivity.

Contact and Distant Luminescence Quenching in Solutions

“…An original matrix reformulation of IET and its modification similar to (39) were presented in [45]. Such an obtained MET is applicable to the reversible reactions of any complexity and is in fact identical to that used in [17][18][19][20][21]. However, the authors did not restrict themselves to the integral form of the theory but transformed their matrix integrodifferential equation into a set of two coupled differential equations which can be solved easier numerically.…”

“…Qualitatively different are the results in the opposite, energy storing situation when τ B > τ A . The rate constant (19) changes the sign with time and diverges while the "stationary constant" (20) becomes a complex quantity. In contrast, the effective IET analog of (19),…”

“…In the case of irreversible quenching (k b = 0), the kernel modification can also be done as was recommended earlier [19][20][21][22][23], by the straightforward substitution…”

“…To minimize this drawback, a modified version of the integral theory (MET) was developed [17][18][19][20][21][22][23]. Creation of MET extended IET to higher concentrations keeping its advantages in accounting for the reaction reversibility but eliminating some of the weaknesses demerits in the asymptotic description of the long time kinetics.…”

Accumulation and Decay of Macroscopic Correlations in Elementary Reactions Kinetics

“…This method was successfully used in the derivation of kinetic equations of a wide class of chemical reactions [52][53][54][55][56][57][58][59][60] and in examining the applicability of the concepts of the Encounter Theory. 61,62 Now we briefly discuss the main steps of the method to show how the subsequent steps increase the accuracy of kinetic equations derived.…”