Page 179 - Carbon Nanotubes
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Metal-coated fullerenes                        171

                                                          I
           stable cluster, the arrangement of metal atoms in this   300 1
           cluster becomes obvious. By placing one Ba atom onto
                                                               x = 32
           each of the 12 pentagons and 20 hexagons of the c60
           molecule, a structure with full icosahedral symmetry
           (point group I,,) is obtained that can be visualized as                  104    -
           an almost close-packed layer of 32 Ba-atoms coating
           the c60 molecule. It seems reasonable that this struc-
           ture exhibits  an unusually high  stability,  somewhat
           similar to the geometric shells observed in pure alka-
           line earth clusters[lO,l I]. Any additional metal atoms
           situated on this first metal layer are likely to be only
           weakly bound to the layer underneath and, thus, evap-
           orate easily, causing the mass peaks of C60Bax with x
           greater than 32 to disappear almost completely. The
           small peaks at x = 35,38,  and 43 might signal the com-
           pl’etion of small stable metal islands on the first metal
           layer. We can, however, presently only speculate on
           the nature of these minor structures.
             For a rough estimate of the packing density of this
           first metal layer, assume the atoms to be hard spheres
           having the covalent radii of the respective atoms  (0.77 A
           for C; 1.98 A for Ba[14]). Placing the carbon spheres   0
           at the appropriate sites of the Cm structure with bond      50   X      100    130
           lengths 1.40  -4 and 1.45 A[ 151 and letting the Ba spheres
           rest on the rings formed by the carbon atoms, the Ba   Fig. 3.  Mass spectra of  photoionized C,,Ca;   (top)  and
           spheres placed on neighboring hexagons will almost   C7&a:   (bottom): the lower axis is labeled by the number of
           touch, spheres on neighboring pentagons  and hexa-   metal atoms on the fullerene molecule. The peaks at x = 32
                                                                                correspond to a  first
                                                      for CmCa,  and x  = 37  for  C&a,
           gons will overlap by a few tenths of an hgstr~m. The   metal layer around the fullerenes with one atom located at
           distance of the metal atoms to the center of the mol-   each of the rings. The edges at x = 104 and x = 114, respec-
           ecule is almost equal for atoms on hexagonal and pen-   tively, signal the completion of a second metal layer.
           tagonal  faces.  In this simple picture, the packing of
           the metal layer is almost perfectly dense, the Ba atoms
           having an appropriate size. Incidentally, this argument  trum in Fig. 2 but with a higher metal vapor density.
           also holds in a similar manner for Sr- and Ca-atoms.  A slight background caused by fragmentation of clus-
             Of  course,  this simple picture constitutes  only a   ters inside the drift tube of the mass spectrometer has
           crude approximation and should be valued only for   been  subtracted.  The lower axis is  labeled  with the
           showing that the completion of a metal layer around  number  of  metal atoms on the respective fullerene.
           C60 with 32 Ba-atoms is, indeed, plausible. More pre-   Again, the coverage of C6,,  with 32 Ca atoms leads
           cise predictions would have to rely on ab initio calcu-  to a pronounced peak in the fragmentation mass spec-
           lations, including a possible change in bond lengths of   trum. In the spectrum containing C70, a very strong
           C60, such as an expansion of the double bonds of C,jo  peak  at C70Ca:7  is observed. Note that C70, just as
           due to electron transfer to the antibonding LUMO (as  C60, has 12 pentagons but 5 additional hexagons on
           was found in the case of C60Li,2[12,13]).   the equator around the remaining fivefold axis, totaling
             The significance of the magic number 32 found in  37 rings. The ‘ring-counting’ thus seems to work for
           the experiment may also be stated in a different man-   C70 also. However, the applicability of this ‘counting
           ner. If a cluster containing Ba and a fullerene molecule  method’ to even higher fullerenes has to be verified as
           will be stable and, thus, result in a clearly discernible  these become available in sufficient quantities for per-
           structure in the mass spectra every time there is exactly  forming such an experiment.
           one Ba-atom situated on each of the rings of the ful-   If it is possible to put one layer of metal around a
           lerene molecule, this property might be used to ‘count  fullerene molecule, it is tempting to look for the com-
           the rings’ of a fullerene.  Of course, such a proposal  pletion  of  additional layers  also.  In the  spectra  in
           has to be verified using other fullerenes, for example,   Fig.  3,  the sharp  edges  at  C60Ca:04  and C70Ca~,,
           C70 which is available in sufficient quantity and pu-  would be likely candidates for signaling the comple-
           rity for such an experiment.               tion of a second layer. As we will see below, there is,
              In investigating the metal coating of  C70, we will   in fact, a very reasonable way of constructing such a
           also replace Ba by Cain the data presented. The coating  second layer with precisely the number of metal atoms
           of the fullerenes with the latter material is basically iden-  observed in the spectrum.
           tical but exhibits additional interesting features that   In proposing an arrangement of the atoms in the
           will be discussed below. Figure 3 shows two mass spec-  second layer, we will focus first on the metal coating
           tra, the upper  one of  C,,Ca:,   the lower of C70Ca;,   of C60. Note that we speak of layers, not shells. The
           both obtained under  similar conditions as the spec-  term ‘shell’ implies self-similarity which, as we will see
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