Future Directions and Industrial Perspectives Micro- and macro-kinetics: Their relationship in heterogeneous catalysis

A combined kinetic-quantum mechanical model for assessment of catalytic cycles: application to cross-coupling and Heck reactions

The efficiency of catalytic cycles is measured by their turnover frequency (TOF). The degree of TOF control determines which states contribute most to the rate of the cycle, and thus indicates the steps that have the highest impact on the cycle. A kinetic model developed by Christiansen (Christiansen, J. A. Adv. Catal. 1953, 5, 311) for catalytic cycles is implemented here in a form that utilizes state energies. This enables one to assess the efficiency of quantum mechanically computed catalytic cycles like the palladium-catalyzed cross-coupling and Heck reactions, to test alternative hypotheses, and to make some predictions. This implementation can also account for effects such as Sabatier's volcano curve for heterogeneous catalysis. The model leads to a dependence of the TOF for any cycle on the "corrected" energy span quantity, deltaE, whose precise expression depends on the location of the summit and trough of the cycle in the step sequence of the cycle. Thus, knowing the highest energy transition state, the most abundant reaction intermediate, and the reaction energy enables one to make quick predictions about relative efficiency of cycles. At the same time, the degree of TOF control determines which states contribute most to the rate of reaction, and thus indicates the values to be included in the calculation of the energetic span and the steps that may be tinkered with to improve the cycle.

Lattice strain effects on CO oxidation on Pt(111)

Surface strain plays a major role in determining the rate limiting step and catalytic activity of platinum for CO oxidation.

Ethene Epoxidation Selectivity Inhibited by Twisted Oxametallacycle: A DFT Study on Ag Surface-Oxide

Competitive ethene oxidation pathways are presented for a p(4 x 4) surface-oxide phase on Ag(111) obtained from density functional theory (DFT) calculations. Both parallel routes are found to proceed from a common oxametallacycle intermediate (OMME) in agreement with previous mechanistic studies on low coverage O adatom phase, although acetaldehyde (AcH) is favored by almost 2 kcal/mol. An even more striking difference with pure metal surface appears with the oxide regeneration pathways, which are found non-rate controlling. Furthermore, a kinetic model is developed on the basis of these DFT calculations and yields 96% selectivity in favor of AcH for a simulation in realistic catalytic conditions (600 K and respective partial pressures of 1 atm for ethene and oxygen reactants). As a key finding, this low ethene epoxide selectivity is proposed to be directly linked to the conformational barrier of the pivotal intermediate. In fact, the elasticity of the ultrathin oxide adlayer enables a twisted OMME structure as a true minimum, which agrees well with orbital prerequisite of the concerted H migration toward AcH. On the contrary, the desired selective ring closure forming ethene epoxide (EO) requires conformational inversion although the eclipsed form lies 2 kcal/mol above.