Probabilities of Elementary Reactions

(28) are used initially for obtaining the kinetic equations for condensed phase processes. Let us discuss a fairly general case for the theory of surface processes and assume the lattice to be inhomogeneous and the radius of the adspecies interaction pair potential to be equal to R (R 1). 

As the adspecies i can participate in various elementary reactions in the given total multistage processes, at common case the parameter sqp(f9lr) should have the additional indexes of the number a for the selected stage. Such an approach allows to apply an unified approach to considering the inhomogeneity of adspecies distribution, caused by their interaction with the different lattice sites and interaction between each other. (As the number of the site / and its type q are unambiguously related so that the parameters notation can be simplified il(r) — p(fg r), 4 (/l ) = 4 , etc). 

Let the occupancies of the lattice sites change due to the occurrence of one-site processes i r+b (let 2j- denotes their number) and the two-site processes i+j b + d (let Ql denotes their number). The probabilities of one-site (Wj(oc)) and two-site (Wjg(j oc) at the distance y) transitions in TSM will be written as follows [85-87] the one-site process i- Product 

The same simple procedure applies to the construction of the parameters ab/ x /-) for the various z and R. If A = B, the symmetrical positions of the common rth c.s. sites relative to the plane passing through the center of and normal to the straight line lx are matched by the same aa/C0 ) values (1 cor nr/2) at the doubled values of K(cor). 

Expressions (30) correspond to the condition (25). Their substitution into the right-hand side of Eq. (28) yields the appropriate kinetic equations for each site of the lattice (an ensemble of the lattices). 

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