Reagent concentration, effect distribution constant

When the concentrations of reagents have comparable values, it is necessary to pay attention to the correlation effect in the decay of different donors, i.e. to consider the fact that the spatial distribution of acceptors near the chosen donor can change as a result of the decay of the acceptors in the reactions with other donors neighbouring the chosen one. The rigorous derivation of kinetic equations with the consideration of such a correlation is, as far as we know, unavailable. The approximate description of the kinetics of a biomolecular electron tunneling reaction at n(t) = N t) can be given in terms of the pair density method with the help of eqn. (19) in which, however, N is not a constant quantity but depends on time in the same way as n(t), i.e. 

At this time, no absolute rate constants have been determined for a reaction of an aminium cation radical. However, for synthetic utility, one needs to consider the relative rate constants for competing reactions. Competition between two unimolecular reactions depends only upon the relative rate constants for the processes. For competition between a unimolecular and a bimolecular reaction whose rate constants are comparable, product distributions can easily be controlled by the concentration of the second species in the ratio of rate laws. The ratio of reaction products from cyclization (unimolecular) versus hydrogen atom trapping before cyclization (bimolecular) can be expressed by the equation %(42 + 65)/%41 = Ar/(A H[Y - H]) (Scheme 20). Competition between two bimolecular reactions is dependent on the relative rate constants for each process and the effective, or mean, concentration of each reagent. The ratio of the products from H-atom transfer trapping of the cyclized radical versus self-trapping by the PTOC precursor can be expressed by the equation %42/%65 = (kH /kT) ([Y - H]/[PTOC]). 

TEOS-Microemulsion System, In these experiments the overall concentrations of water, ammonia, and TEOS were kept constant. The water-to-surfactant molar ratio R was varied by changing the total surfactant concentration. Thus, the observed effect of R on particle size and size distribution is due to the presence of surfactant aggregates, which result in the localization of reagents in well-defined polar (hydrophilic) and nonpolar (hydrophobic) domains. The NP-5-cyclohexane-NH40H system... 

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