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               526                                                                       Metal Particles and Cluster Compounds


               properties,heatcapacity,andmagneticsusceptibilities,for  deal of evidence available indicating that higher reaction
               example, may be very different for small particles relative  rates, more complete conversions, and varying reaction
               to the bulk due to the increase in  S. This would be ex-  selectivities are possible using small metal particles (as
               pected to be especially relevant at low temperature where  compared with bulk metals). However, sorting out surface
               δ   kT .                                          area effects, support effects, oxidation state changes, and
                 Defects in small particles have been considered by the-  the behavior of defects has caused a great deal of confu-
               orists. Density of states at the Fermi level in 13-atom clus-  sion and inherent reactivities of metal atoms versus bulk
               ters of Fe, Ni, and Cu showed the highest densities in Fe.  metal have been difficult to ascertain. However, it has been
               The d  bandwidth for the case of a 13-atom Ni particle  learned that certain chemical reactions are more sensitive
               was much smaller than that of the bulk. The model used  to surface structure than others. These reactions are (1)
               in these calculations was varied to include special surface  C C bond breaking (hydrogenolysis and skeletal isomer-
               features such as steps. Plotting orbital charge densities  ization) and formation (dehydrocyclization), (2) D 2  ex-
               for states near the Fermi level revealed strongly charged  change with benzene, and (3) various oxidation reactions.
               lobes extending above the step atoms and terminating in  The implication is that a certain array of metal atoms (en-
               the plane below the step for the Ni case (see Fig. 7). In  semble) perhaps with certain defect sites are necessary for
               general, stepped surfaces show a variety of bonding or-  these reactions to take place. This in turn suggests some
               bitals not present on flat surfaces, and this may explain  mechanistic features of the reactions where the organic
               the higher catalytic activities of stepped surfaces for some  reactants must lie down on the surface in a specific way in
               chemical reactions.                               order for the reaction to take place. An example is shown
                 Experimental evidence has been reported that changes  in Fig. 8.
               from  a  discrete  set  of  electronic  levels  to  a  spectrum  Studies of free atoms and free metal particles (not sup-
               characteristic of bulk metal are continuous, and the bulk  ported but either in a frozen matrix of argon at 10 K or in
               spectrum  is  reached  when  the  particle  contains  about  the gas phase) have recently been initiated. Interestingly,
               100 atoms. As a result of this, Auger electron spectra re-  in every case where a comparison of reactivity of M atoms
               veal no changes due to particle size variations for Ag-,  versus M 2 , M 3 ,..., M n (n < 20) could be made, dimers,
               Cu-, Au-, and Ni-evaporated ultrathin films on amorphous  trimers, and higher clusters showed increased activities
               carbon.                                           over M atoms. For example, at a very low temperature
                                                                              ◦
                                                                 of 150 K (−130 C) C C bond cleavage occurred on Ni n
                                                                 but not Ni atoms. Interestingly clean Ni films (bulk) do
                 3.  Inherent Chemical Reactivities
                                                                 not react with alkanes to give C C bond cleavage at such
                    of Small Metal Particles
                                                                 low temperatures. Thus, small metal particles seem to be
               Previous discussion has indicated that small metal parti-  more reactive than atoms or bulk metal. Similar results
               cles have several different properties as compared to bulk
               metal. Electronic spectra are different, energy levels are
               different, defect sites such as steps or kinks lie at higher
               energy levels than similar sites on bulk samples, and even
               preferred geometries are sometimes different.
                 Knowing  this  it  should  not  come  as  a  surprise  that
               small metal particles behave differently in chemical re-
               actions than bulk samples. Qualitatively there is a great














               FIGURE 7  Representation of orbital charge densities of states
               at  step  sites  on  a  nickel  surface.  [From  Davis,  S.  C.,  and  FIGURE 8 Example of the mechanism for a structure-sensitive
               Klabunde, K. J. (1982). Chem. Rev. 82, 153–208. Copyright 1982  reaction: * denotes attachment to a metal atom. The critical pa-
               American Chemical Society.]                       rameter is r which affects the efficiency of dissociative adsorption.
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