Heterogeneous catalysis kinetics

Figure 4.9. Schematic representation of enzyme regulation principles as a basis for biokinetic model building. While ordinary kinetics are analogous to chemical kinetics (heterogeneous catalysis), enzyme induction and repression are typical biological phenomena creating transients. (From Moser, 1984.)...

Influence of the Adsorption Isotherm on the Kinetics of Heterogeneous Catalysis... 

Imbihl R and ErtI G 1995 Oscillatory kinetics in heterogeneous catalysis Chem. Rev. 95 697-733... 

Volume 109 Dynamics of Surfaces and Reaction Kinetics in Heterogeneous Catalysis. 

In heterogeneous catalysis, the kinetics we use must account for the fact that the reaction takesplacenotinthegasphasebutonthesurfaceofthesolid.Henceheterogeneouscatalysis is also referred to as contact catalysis in the older literature. In fact reaction takes place in... 

R. Imbhil, G. Ertl. Oscillatory kinetics in heterogeneous catalysis. Chem Rev 95 697-733, 1995. 

M. Kolb, Y. Boudeville. Kinetic model for heterogeneous catalysis Cluster and percolation properties. J Chem Phys 92 3935-3945, 1990. 

An interesting method, which also makes use of the concentration data of reaction components measured in the course of a complex reaction and which yields the values of relative rate constants, was worked out by Wei and Prater (28). It is an elegant procedure for solving the kinetics of systems with an arbitrary number of reversible first-order reactions the cases with some irreversible steps can be solved as well (28-30). Despite its sophisticated mathematical procedure, it does not require excessive experimental measurements. The use of this method in heterogeneous catalysis is restricted to the cases which can be transformed to a system of first-order reactions, e.g. when from the rate equations it is possible to factor out a function which is common to all the equations, so that first-order kinetics results. 

In cases of spillover in heterogeneous catalysis the usual kinetic models can no longer be applied in a direct way. The creation of new surface sites or... 

The problem posed by Eq. (6.22), without the additional complication of the O dependence, is a classical problem in heterogeneous catalysis. The usual approach it to use Langmuir isotherms to describe reactant (and sometimes product) adsorption. This leads to the well known Langmuir-Hinshelwood-Hougen-Watson (LHHW) kinetics.3 The advantage of this approach is... 

Most research in heterogeneous catalysis is concerned with the measurement, understanding, and modihcation of intrinsic kinetics. 

The idea that /3 continuously shifts with the temperature employed and thus remains experimentally inaccessible would be plausible and could remove many theoretical problems. However, there are few reaction series where the reversal of reactivity has been observed directly. Unambiguous examples are known, particularly in heterogeneous catalysis (4, 5, 189), as in Figure 5, and also from solution kinetics, even when in restricted reaction series (187, 190). There is the principal difficulty that reactions in solution cannot be followed in a sufficiently broad range of temperature, of course. It also seems that near the isokinetic temperature, even the Arrhenius law is fulfilled less accurately, making the determination of difficult. Nevertheless, we probably have to accept that reversal of reactivity is a possible, even though rare, phenomenon. The mechanism of such reaction series may be more complex than anticipated and a straightforward discussion in terms of, say, substituent effects may not be admissible. 

The fourth type was not detected in homogeneous kinetics (116) because of the unsuitable statistical treatment used, but it was known in heterogeneous catalysis (4, 5). It is the so called anticompensation, when AH and AS change in the opposite sense. It was supposed that solvent effects particularly can cause such changes (37). 

A reason for using microkinetics in heterogeneous catalysis is to have comprehensive kinetics and a transparent reaction mechanism that wonld be useful for re or design or catalyst development. Furthermore, in the long run, the exparimental effort to develop a microkinetics scheme can be less than that for a Langmuir-Hinshelwood (LH) or powa--law scheme because of the more fundamental nature of the reaction kinetics parameters. 

Hinshelwood Kinetic mechanism of reactions in heterogeneous catalysis... 

As explained in Chapter 1, catalytic reactions occur when the reacting species are associated with the catalyst. In heterogeneous catalysis this happens at a surface, in homogeneous catalysis in a complex formed with the catalyst molecule. In terms of kinetics, the catalyst must be included as a participating species that leaves the reaction unaltered, as indicated schematically in Fig. 2.7, which shows the simplest conceivable catalytic cycle. We will investigate the kinetics of this simple two-step mech-... 

Adsorption of reactants on the surface of the catalyst is the first step in every reaction of heterogeneous catalysis. Flere we focus on gases reacting on solid catalysts. Although we will deal with the adsorption of gases in a separate chapter, we need to discuss the relationship between the coverage of a particular gas and its partial pressure above the surface. Such relations are called isotherms, and they form the basis of the kinetics of catalytic reactions. 

In Langmuir-Hinshelwood kinetics is it assumed that all species are adsorbed and accommodated (in thermal equilibrium) with the surface before they take part in any reactions. Hence, species react in the chemisorbed state on the surface. This is the prevailing situation in heterogeneous catalysis. 

D.A. Rudd, L.A. Apuvicio, J.E. Bekoske and A.A. Trevino, The Microkinetics of Heterogeneous Catalysis (1993), American Chemical Society, Washington DC]. Ideally, as many parameters as can be determined by surface science studies of adsorption and of elementary steps, as well as results from computational studies, are used as the input in a kinetic model, so that fitting of parameters, as employed in Section 7.2, can be avoided. We shall use the synthesis of ammonia as a worked example [P. Stoltze and J.K. Norskov, Phys. Rev. Lett. 55 (1985) 2502 J. Catal. 110 (1988) Ij. 

The examples of the model studies presented show how the meshing of modern surface techniques with reaction kinetics can provide valuable Insights Into the mechanisms of surface reactions and serve as a useful complement to the more traditional techniques. Close correlations between these two areas holds great promise for a better understanding of the many subtleties of heterogeneous catalysis. 

In any catalyst selection procedure the first step will be the search for an active phase, be it a. solid or complexes in a. solution. For heterogeneous catalysis the. second step is also deeisive for the success of process development the choice of the optimal particle morphology. The choice of catalyst morphology (size, shape, porous texture, activity distribution, etc.) depends on intrinsic reaction kinetics as well as on diffusion rates of reactants and products. The catalyst cannot be cho.sen independently of the reactor type, because different reactor types place different demands on the catalyst. For instance, fixed-bed reactors require relatively large particles to minimize the pressure drop, while in fluidized-bed reactors relatively small particles must be used. However, an optimal choice is possible within the limits set by the reactor type. 

R. J. Madix, Selected principles in surface reactivity reaction kinetics on extended surfaces and the effects of reaction modifiers on surface reactivity, in The Chemical Physics of Solid Surfaces and Heterogeneous Catalysis, Vol. 4, ed. D. A. King and D. P. Woodruff, Elsevier, Amsterdam, 1982, 1. 

M. Neurock, in Dynamics of Surfaces and Reaction Kinetics in Heterogeneous Catalysis, ed. G. F. Froment and K. C. Waugh, Elsevier, Amsterdam, 1997, 3. 

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