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 Encyclopedia of Physical Science and Technology  EN009M-428  July 18, 2001  1:6






               522                                                                       Metal Particles and Cluster Compounds


                 In recent years there have been numerous studies using  chlorine atoms by the abstraction of a sodium atom form-
               supersonic beams. In this case a high-pressure gas expands  ing NaCl and electronically excited Na n−1 . Similarly, rate
               adiabatically through a small nozzle and cools greatly.  constants for reaction of H 2 with iron clusters have been
               Noweitherthesupersaturatedgasitselforanothermaterial  made. In these studies the hydrogen always appears to add
               seeded into the gas condenses forming clusters. The low  as a dimer and the reaction rate is a very strong function of
               temperature of the seeded beams not only produces con-  cluster size. Clusters below four atoms are slow to react as
               densation but greatly simplifies the electronic spectra al-  are clusters of 15–18 atoms. There appears to be a strong
               lowing the detailed study of even weakly bound molecules  correlation between low ionization potential and fast reac-
               such as van der Waals complexes. However, even with the  tion rate, but more work needs to be done to confirm this.
               simplification caused by the low temperature, only small  In the technique of matrix isolation the atoms of the
               systems such as dimers and trimers have been studied in  metal to be studied are mixed with a large excess of
               detail. Our interest is with larger agglomerates.  an inert gas upon condensation on a cold surface. The
                 In a seeded beam a condensable material is mixed with a  inert gas is often argon in excess by a factor of about
               large excess of a rare gas (usually helium) which does not  1000, and the temperature is in the neighborhood of 10 K.
               condense under the experimental expansion conditions.  This technique has the advantages of freezing quite reac-
               This technique is used with metals and other materials  tive atoms/clusters, concentrating them by collecting over
               which have too low a vapor pressure to be expanded di-  time, and holding them for more leisurely study. Often
               rectly. Low boiling metals, such as the alkalis and alkaline  spectral lines are very sharp, although they can be broad-
               earths, can be heated in a simple Knudsen cell. Stronger  ened by inhomogeneous lattice effects. In some cases laser
               heating has been used for the more refractory transition  excitation can give sharp line emission from only a lim-
               metals. Most recently laser evaporation has been used to  ited number of sites. Matrix relaxation also leads to line
               produce beams of many metals. This technique, which  broadening.
               uses a pulsed, focused laser to evaporate metal from a rod,  A principal difficulty with matrix isolation studies is
               is well suited to the use of a time-of-flight mass spectrom-  that they are often limited to small clusters of indeter-
               eter for cluster analysis. Analysis by laser-induced fluo-  minate size. Large dilutions favor monomer deposition.
               resence or laser ionization also allows many spectroscopic  Comparison of the growth of spectral features as a func-
               studies to be conducted in small clusters. In this way bond  tion of dilution ratio with statistical models allows us to
               lengths and other parameters have been determined for  correlate these new spectra with various sized particles.
               dimers of Cr, Cu, and Sn to name just a few.      However, there is significant migration of atoms within
                 For larger clusters much spectroscopic detail is lost,  the growing surface before the condensing gas becomes
               but measurements of the photoionization thresholds pro-  rigid. The degree of this migration can be enhanced by
               vide information concerning cluster ionization potentials.  increasing the temperature, either during or after the de-
               Sodium clusters show a relatively smooth decrease in ion-  position, or by using the lower melting gas. Silver atoms
               ization potential from 5.1 eV for the atom to 3.5 eV for  undergo a photomigration when they are excited in an
               the 14-atom cluster. This is still significantly above the  argon matrix with atom absorptions being bleached and
               1.6-eV work function of bulk sodium. For the smaller clus-  dimer absorptions growing.
               ters the odd sizes have a lower ionization potential than  While many spectroscopic studies have been published
               the neighboring even-sized clusters because of effects due  on dimers, the most extensive polymer studies have been
               to open versus closed shell configurations. Recently mea-  with Ag, Na, and Cu clusters. As might be expected much
               surements have been made of the ionization potential of  of the interest in silver relates to the photographic pro-
               iron clusters up to 25 atoms. In this experiment the ion-  cess where it appears that a four-atom silver cluster on
               ization potentials were bracketed by the use of various  a silver halide surface leads to reduction by developer,
               ionizing lasers. There is a decrease in the ionization po-  whereas a three-atom cluster does not. The electron spin
               tential from 7.870 eV for an iron atom to the 4.4-eV work  resonance (ESR) spectrum of sodium in argon confirms
               function of the bulk metal, but the trend is by no means  that the trimer is covalently bonded and not an equilateral
               linear. Thus, the ionization potential of Fe 2 is about 5.9 eV,  triangle. Ultraviolet photoelectron spectroscopy (UPS) of
               while those of Fe 3 and Fe 4 are above 6.42 eV. Clusters in  Cu clusters indicates that the d band is separate from the
               the range of 9–12 atoms have ionization potentials below  s band, unlike in the bulk or in the Xα calculations men-
               5.58 eV while those in the range of 13–18 atoms are above  tioned earlier.
               5.58 eV. The ionization potential of the 25-atom cluster  Even under matrix isolation conditions some chemical
               still exceeds the bulk value by 0.3 eV (6.9 kcal/mol).  reactions occur. A large number of reactions with atoms
                 Chemical reactions of metal clusters in a beam are just  (especially the alkalis) have been observed. Reactions be-
               beginning to be studied. Sodium clusters (Na n ) react with  tween CO and Cu or Ni clusters have been studied by
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