Irreversible bimolecular reactions

Case II. Irreversible Bimolecular Reaction Between Adsorbed Species on the Same Type of Site... 

Consider the following irreversible bimolecular reaction, which takes place between two species adsorbed on a catalyst surface. 

Case III. Irreversible Bimolecular Reactions Between Species Sorbed on Different Types of Sites... 

Case IV. Irreversible Bimolecular Reactions Between an Adsorbed Species and a Fluid Phase Molecule... 

They showed that if the variance of a bimolecular process is zero or negligible, the deterministic results and the stochastic means are identical. This was also shown by Renyi in his early study of the irreversible bimolecular reaction A + B < C. If the concentrations of A, B, and C are given by the random variables X2(t), and X3(t), respectively,... 

In particular, it is useful to define the critical point through F(nc) = 0 (the stationary state). Since multicomponent chemical systems often reveal quite complicated types of motion, we restrict ourselves in this preliminary treatment to the stable stationary states, which are approached by the system without oscillations in time. To illustrate this point, we mention the simplest reversible and irreversible bimolecular reactions like A+A —> B, A+B -y B, A + B —> C. The difference of densities rj t) = n(t) — nc can be used as the redefined order parameter 77 (Fig. 1.6). For the bimolecular processes the... 

A new principal element of the Waite-Leibfried theory compared to the Smoluchowski approach is the relation between the effective reaction rate K(t) and the intermediate order parameter x = Xab (r,i). In its turn, the Smoluchowski approach is just an heuristic attempt to describe the simplest irreversible bimolecular reactions A + B- B,A + B- B and A + B -> 0 and cannot be extended for more complicated reactions. The Waite-Leibfried approach is not limited by these simple reactions only it could be applied to the reversible reactions and reaction chains. However, in the latter case the particular linearity in the joint correlation function x = Xab (r, ) does not always mean linearity of equations since additional non-linearity caused by particle densities can arise. 

The simplest irreversible bimolecular reaction in solution is usually represented as A + Q=>B + Q. To be more specific, let us consider Q as a quencher and A and B as the excited and ground states of active molecule D. If in the absence of... 

Calculate the half-life of an irreversible bimolecular reaction in aqueous solution with the following ACT parameters A5 = 12 J mol" K" ,... 

The above treatment has dealt only with irreversible bimolecular reactions and, as a special case, first-order irreversible reactions. Although these cases predominate, others are certainly possible. The references cited are sources for additional situations. 

What can be said of the gas-phase chemistry with some confidence is that bimolecular reactions probably play an important role under most conditions. The simplest description of gas-phase chemistry that incorporates bimolecular interactions is a single-step, irreversible, bimolecular reaction with intermediate species-B (formula weight W) going to product species-C (same formula weight W),... 

Consider the irreversible bimolecular reactions of a binary mixture of A and B with a common reagent R. 

For an irreversible bimolecular reaction between molecules that are competitively adsorbed on the same type of sites, the reaction rate depends on the probability that the molecules are on adjacent sites. This probability is approximately proportional to the product of the fractional coverages ... 

Case II Irreversible Bimolecular Reaction Between Adsorbed Species on the Same Type of Site. Consider the following irreversible bimolecular reaction, which takes place between two species adsorbed on a catalyst surface ... 

Case III Irreversible Bimolecular Reactions Between Species Adsorbed on Different Types of Sites. With certain types of catalysts it is easy to postulate that more than one type of chemisorption site may exist on the solid surface. For example, in the case of metal oxide catalysts, one might speculate that certain species could chemisorb by interaction with metal atoms at the surface, while other species could interact with surface oxygen atoms. Consider the possibility that species A adsorbed on one type of site will react with species B adsorbed on a second type of site according to the following reaction ... 

Case IV Irreversible Bimolecular Reactions Between an Adsorbed Species and a Fluid-Phase Molecule. The first three examples consider cases where only adsorbed species participate in the reaction. The possibility also exists that reaction may occur between a gaseous molecule and an adsorbed species. This mechanism is referred to as a Rideal mechanism. If species A refers to the adsorbed species and species B to a gas-phase molecule, one form of this bimolecular reaction may be written as... 

This policy also holds for an irreversible bimolecular reaction provided that the two species are premixed. For reversible reactions, again the same policy holds provided that the rate constant of the forward reaction is larger than that of the reverse reaction. No such generalization seems possible for unpremixed feed. 

Bimolecular Catalytic Reactions Supposing that the surface reaction is the rate-determining step, we obtain for an irreversible bimolecular reaction the following relations ... 

Spectral techniques have been used for the identification of polymer-immobilized clusters. For example, monomers, dimers, and trimers of molybdemun immobilized on poly(methylphenylsiloxane), absorb at X, = 318, 418, and 502 nm, respectively, whereas the tettanuclear and pentanuclear clusters absorb at = 598 and 640 nm, respectively. This makes it possible to follow the growth of cluster particles. According to scheme 5, this process comprises a munber of consecutive irreversible bimolecular reactions ... 

An exemplary system that captures structural features of the interactiug kinetics is described by the following irreversible bimolecular reactions ... 

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