8886 J. Phys. Chem. B, Vol. 101, No. 44, 1997
Holmblad et al.
to interpret this. Assuming regular polyhedra comprised
exclusively of 111 and 100 facets, the ratio of the former to
the latter increases with increasing particle size. Single-crystal
TPD studies of Pd(111) and (100) have revealed a similar
enhancement for the low-temperature desorption on the (111)
surface.5 Therefore, this effect may well be related to the ratio
of 111 facets on the surface. An alternate explanation invokes
the enhanced curvature of the smaller particles that precludes
the degree of compression in the benzene overlayer that results
in the tilted, weakly bound configuration.
For small particles, benzene evolution is only observed from a
high-temperature state (∼520 K), whereas larger particles desorb
benzene in a high- (∼520 K) and a low-temperature (∼220 K)
state, as observed on Pd single crystals. The results are
consistent with the (111) facet being the most efficient for
trimerization, resulting in an enhanced activity for larger
particles. A pronounced drop-off in benzene yield is observed
beneath a critically small particle size, suggestive of an ensemble
size requirement for the reaction.
These results may also have implications for reaction activity
under equilibrium conditions. The reactively formed benzene
in the tilted configuration in the compressed overlayer has
several reaction pathways available to it, including desorption,
decomposition, and transition to the strongly flat bound species.
While a definitive enhancement for benzene evolution was not
observed for the larger particles in the TPD experiments, the
data suggest an activity dependence nonetheless. Generally,
one would expect an enhanced propensity for low-temperature
desorption to likewise enhance the rate of benzene formation
in a reaction equilibrium situation. Single-crystal studies by
Somorjai et al. that point to benzene desorption as the rate-
determining step lend further support to this viewpoint. For
Pd single crystals at atmospheric pressures under batch reaction
conditions, the (111) surface is more reactive than the (100)
surface if corrections are made for site blocking by inactive
carbon.5 In fact, Lambert et al. have shown that larger Pd
particles in conventional supported catalysts are more active.24
In this interpretation then, the lower activities for the smaller
particles is not due to a critical size ensemble effect (except for
the extremely small particles exhibiting the dramatic intensity
drop-off), but rather to the enhanced curvatures and absence of
large, 111 terraces. These characteristics preclude the forma-
tion of the ordered compressed overlayer of reactively formed
benzene weakly bound in the tilted configuration and favor the
more strongly adsorbed flat bonded benzene. Also, the smaller
particles with their higher densities of defects may favor the
low-temperature decomposition reaction, as suggested by the
attenuation of the benzene peak at 370 K associated with defects.
While these low-temperature adsorption, low-pressure experi-
ments reveal interesting particle size effects, it is difficult (and
perhaps dangerous) to attempt to extrapolate these results to
the high-pressure, high-temperature situation in a conclusive
way. Changes in surface coverages of reactants and poisons
can have profound effects on reaction mechanisms, as shown
by single-crystal work (Somorjai et al.5). Ideally, these experi-
ments must be expanded to include high-temperature, high-
pressure reaction kinetics. Nevertheless, these results provide
yet another example of the excellent utility and scope associated
with these unique model catalysts for investigation of hetero-
geneous catalytic processes.
Acknowledgment. We acknowledge with pleasure the
support of this work by the Department of Energy, Office of
Basic Energy Sciences, Division of Chemical Sciences, and the
Robert A. Welch Foundation.
References and Notes
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4. Conclusion
The cyclotrimerization of acetylene to benzene on alumina
thin film supported Pd particles exhibits a particle size effect.