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               458                                                                                Catalysis, Homogeneous


               are important for a variety of reactions including hy-  Kinetics is an important part of catalysis; after all, catal-
               drogenation, isomerization of alkenes, oligomerization,  ysis is concerned with accelerating reactions. Comparison
               polymerization, carbonylation, hydroformylation, hydro-  of catalysts and comparison of catalyzed and noncatalyzed
               cyanation, metathesis, polyester formation, etc. Many  reactions is not a straightforward task. Suppose we have
               catalysts display high rates and selectivities for conver-  a bimolecular reaction of species A and B with a rate of
               sions that would have taken many steps in the absence of  product formation:
               the catalyst or would not have been possible at all. Many
                                                                                d[P]/dt = k 1 [A][B]
               of the catalytic reactions show a high atom economy, i.e.,
               a high percentage of the atoms of the starting materials  We don’t know what the rate equation for the catalyzed
               ending up in the final product as by-product formation is  reaction might look like, but it is reasonable that at least
               minimized.                                        the catalyst concentration will occur in it, e.g.:

                                                                              d[P]/dt = k 2 [Cat][A][B]

               I. DEFINITION AND SCOPE OF                        Hence the dimension of the reaction is different, even in
                 HOMOGENEOUS CATALYSIS                           the simplest case, and hence a comparison of the two rate
                                                                 constants has little meaning. If both reactions occur si-
               A. Definition                                      multaneously in a system we may determine what part of
                                                                 the product is made via the catalytic route and what part
               Berzelius coined the term catalysis in 1836 when he had  isn’t. In enzyme catalysis and enzyme mimics one often
               noticed changes in substances when they were brought in  compares the k 1 of the uncatalyzed reaction with k 2 of the
               contact with small amounts of certain species called “fer-  catalyzed reaction; if the mechanisms of the two reactions
               ments.” Many years later in 1895 Ostwald came up with  are the same this may be a useful comparison. In prac-
               the definition that: A catalyst is a substance that changes  tice the rate equation may take a much more complicated
               the rate of a chemical reaction without itself appearing  form than the ones shown above. The rate equation tells
               into the products. This means that according to Ostwald a  us something about the mechanism of the reaction.
               catalyst can also slow down a reaction. The definition used  Before we turn to “mechanisms” let us repeat how a
               today reads as follows: A catalyst is a substance that in-  catalyst works. We can reflux carboxylic acids and alco-
               creases the rate at which a chemical reaction approaches  hols and nothing happens until we add traces of mineral
               equilibriumwithoutbecomingitselfpermanentlyinvolved.  acid that catalyzes esterification. We can store ethene in
               The “catalyst” may be added to the reactants in a different  cylinders for ages (until the cylinders have rusted away)
               form, the catalyst precursor, which has to be brought into  without the formation of polyethylene, although the for-
               an active form (“activated”). During the catalytic cycle  mation of the latter is exothermic by more than 80 kJ/mol.
               the catalyst may be present in several intermediate forms  We can heat methanol and carbon monoxide at 250 C and
                                                                                                         ◦
               when we look more closely at the molecular level. An ac-  600 bar without acetic acid being formed. After we have
               tive catalyst will pass a number of times through this cycle  added the catalyst the desired products are obtained at a
               of states; in this sense the catalyst remains unaltered. The  high rate.
               number of times that a catalyst goes through this cycle is  A catalyst lowers the barrier of activation of a reaction,
               the turnover number. The turnover number (t.o.n.) is the  i.e., it lowers the activation energy. When protons or Lewis
               totalnumberofsubstratemoleculesthatacatalystconverts  acids are the catalysts this description seems fairly accu-
               into product molecules. The turnover frequency (t.o.f.) is  rate. Take for instance a Diels-Alder reaction catalyzed by
               the turnover number in a certain period of time. Substrates  a Lewis acid (Fig. 1):
               are present in larger amounts than the catalyst; when we  The catalyst makes the dienophile more electrophilic. It
               report on catalytic reactions the ratio of substrate to cat-  lowers the energy level of the LUMO and the interaction
               alyst is an important figure. An inhibitor is a substance  between the LUMO of the dienophile and the HOMO
               that retards a reaction. An inhibitor is also present in “cat-
               alytic” or substoichiometric amounts. In a radical chain
               reaction an inhibitor may be a radical scavenger that inter-
               rupts the chain. In a metal-catalyzed reaction an inhibitor
               could be a substance that adsorbs onto the metal making it
               less active or blocking the site for substrate coordination.
               We also talk about a poison, a substance that stops the
               catalytic reaction. We will often see the word co-catalyst,
               a substance that forms part of the catalyst or that plays
               another role somewhere in the catalytic cycle.        FIGURE 1 Lewis acid catalyzed Diels-Alder reaction.
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