Chapter 2 Overall Reaction Rate Equation of Single-Route Complex Catalytic Reaction in Terms of Hypergeometric Series

Kinetic models of multi-route reactions in homogeneous catalysis with metal complexes (A Review)

“…The state of the art in the theory of steady state reactions and the theory of routes, which was devel oped by Yablonsky and Lazman in their works of on the kinetic polynomials (see review [13] and mono graph [14]) and by Gorskii et al [15] has been recently presented in monograph [1]. Here we will only briefly consider some important aspects and conclusions of the theory of routes, which are related to solution of the problem of establishing a relationship between the reaction rate over a certain route and the chemical affinity of the overall equation over this route-that is, the equilibrium constant of the overall equation.…”

“…Here we will only briefly consider some important aspects and conclusions of the theory of routes, which are related to solution of the problem of establishing a relationship between the reaction rate over a certain route and the chemical affinity of the overall equation over this route-that is, the equilibrium constant of the overall equation. This problem has been considered for single route reac tions by Horiuti (in 1939Horiuti (in -1953 [9] Boreskov (1945) [16,17], and Weller (1950Weller ( -1954 [18,19] and recently called the "Horiuti-Boreskov problem" [13].…”

“…(9) for deter mining from the total reaction rate = -or determine R + from relation (5). Let us analyze another example that is taken from [13] and consider determination of the stoichiometric number for the limiting step of a catalytic reaction of SO 2 oxidation, which was performed by Boreskov et al…”

“…For a given route (overall equation), it was suggested to use an invariant f(R, c) = 0 in the form of a "kinetic polynomial" [13,14]:…”

Cycles Across an Equilibrium: A Kinetic Investigation of the Reverse and Forward WGS Reaction over a 2% Pt/CeO2 Catalyst (Experimental Data and Qualitative Interpretation)

“…Having respect to scientists who first started to work in this area, this problem was termed as the ''Horiuti-Boreskov problem''. The posed theoretical problem was partially solved recently by Lazman and Yablonsky (2008). As a result, an analytical expression of the reaction rate was obtained with no classical simplifications about the ''limiting step'' or the ''vicinity of the equilibrium''.…”