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In principle, these equilibria could be analyzed theoretically from the computed ligand dissociation energies, collected inTable SI4of theSupporting Information, but estimation of these specific equilibrium constants with the computational methods applied is troublesome. In fact, the two magnitudes reported, potential energy and free energy, present sharply different values, with differences around 16 kcal/mol. This discrepancy proves the importance of entropic corrections in these bimolecular processes. Unfortunately, in our computational approach, these particular terms are estimated through assumption of ideal gas behavior of the molecules, which is obviously not the optimal choice for systems in solution. Moreover, experimental reactions can be carried out in solvents of very different polarity. Thus, rather than focusing on the intrinsically inaccurate estimation of these equilibrium constants, we decided to analyze the trends in the computed activation barriers associated with the different ligands, where entropic contributions are less critical.
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The ma ligand is a very strong π-acceptor, to the point that the oxidation level of its formally Pd(0) complexes must be relatively high. This is shown, for instance, by the fact that these complexes are air stable and difficult to oxidize (see refs30and33). It looks reasonable that, as the reductive elimination progresses, the overall π-acceptance will increase more steeply for ma than for other poorer π-acceptors, making this lowering of the barrier particularly effective.
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An additional set of calculations we carried out to check whether the energy barrier to olefin rotation could be relevant to the overall kinetics. In these calculations, collected in theSupporting Information(Figure SI5), we found two local minima forcis-[PdMe2(PMe3)(H2C═CH2)]. The most stable one is the out-of-plane species reported in the text; a secondary in-plane species is 4.7 kcal/mol higher in energy. The transition state between these two minima is only 1.2 kcal/mol above the least stable minimum, indicative of a fast process at room temperature.
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The filled d orbitals in square-planar Pd(II) complexes are very stable, and this reduces their involvement in back donation. This can be noted, for instance, in the fact that Pd(II)–carbene bonds show typical single bond distances. See some X-ray structures in:
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Published
Feb 20, 2009
Vol/Issue
131(10)
Pages
3650-3657
Authors
Cite This Article
Martín Pérez-Rodríguez, Ataualpa A. C. Braga, Max García-Melchor, et al. (2009). C−C Reductive Elimination in Palladium Complexes, and the Role of Coupling Additives. A DFT Study Supported by Experiment. Journal of the American Chemical Society, 131(10), 3650-3657. https://doi.org/10.1021/ja808036j
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