Of Chemical Kinetics in General

The interaction between the kinetics, the initial composition and the measurements would be taken into account in a full analysis. This is important for a complete aliasing of kinetics can arise under special circumstances. For example, in a continuum of reactions [22] all of which were first order and irreversible, we might denote the fraction of material with rate constant in the interval (/c, k + dk) at time t by x(t, k) Xo(k) = Jt(0, k). Then for parallel first order reaction we would have 

Then X(t) the total fraction of the original remaining would be 

This X appears to be the remaining fraction of a substance disappearing by a pth order reaction where q = (2 — p)l(p — 1). 

It would seem therefore that the field of chemical kinetics is ripe for the sort of rational analysis that has proved so fruitful in mechanics. 

I am indebted to the Graduate School of the University of Minnesota for a Faculty Summer Research Fellowship that enabled the completion of this paper. 

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Because of the large dielectric constant of water, electron transfer reactions in this liquid are strongly coupled to solvent polarization modes. The equilibrium solvent effects are well accounted for within the celebrated Marcus theory of electron transfer reactions [19]. The dynamic effects of electron transfer reactions have been the subject of many interesting discussions in the scientific literature and revealed some nice aspects of chemical kinetics in general, as articulated below. Study of the dynamics of electron transfer uses the results obtained in SD. 

Stochastic approaches to reaction kinetics assume that due to inherent stochasticity of chemical interactions, the number of molecifles at a given fixed time varies from sample to sample in the case of a hypothetical setup consisting of a large number of independent samples of the same reaction. T o account for such variations, probabflity of samples or for enzymatic kinetics, the probabiHty of the molecule numbers of all involved species at time t in a closed compartment should be considered. The lack of exact solutions has limited the exploitation of this probabilistic approach to the problems of chemical kinetics in general and enzymatic in particular. 

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