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Buchwald, Houk, and coworkers,[81] we first investigated the
possibility for SET and AT mechanisms, but also evaluated alter-
natives that would better rationalize the observed Hammett
behavior as well as the survival of radical clocks (see below).
The reaction paths were derived by calculation of free energies
by using dispersion-corrected DFT calculations as described in
the following.
and the high DMEDA concentration. The alternative, that for-
mation of the reactive complex in itself is rate-limiting, can be
excluded by the positive reaction order observed for the aryl
iodide.[75] We can thus conclude that the reactive complex de-
picted in Figure 5 partakes in an equilibrium with a resting
state, and that this equilibrium is facilitated by DMEDA even if
in 2000-fold excess. In addition to acting as a mass-transfer
mediator in this equilibrium process, we cannot exclude other
roles of DMEDA, such as promoting the displacement of deac-
tivating ligands on Cu (e.g., iodide or excess nucleophile).
In nonpolar solvents such as toluene, charge separation is
generally disfavored. Accordingly, we find the formation of ex-
pected intermediates resulting from a SET mechanism, a cation-
ic CuII complex, and a PhI anion radical, to be associated with
a highly endergonic reaction (291 kJmolÀ1). Thus, an SET
mechanism was discarded as a possible pathway. The direct
iodine atom transfer (AT, in Figure 1) results in a neutral CuII
complex and a phenyl radical, a process that is less dramatical-
ly uphill, endergonic by 102 kJmolÀ1. Recombination of the
two intermediates ultimately provide the new CÀN bond, a pro-
cess that is monotonously downhill on the potential energy
surface and, therefore, diffusion-controlled. Bimolecular diffu-
sion-controlled processes in general have a free-energy barrier
of approximately 20 kJmolÀ1.[88] The reverse reaction, from in-
termediates to starting materials, is also diffusion-controlled
and thus has also a barrier of approximately 20 kJmolÀ1. Both
transition states of the AT process can therefore be estimated
Conclusions
Cu-catalyzed C–N cross coupling utilizing “trace amounts” of
catalyst are to date restricted to aryl iodides and sp2-hybridized
N-containing substrates, such as pyrrols and amides. By careful
exclusion of contaminants, it was possible to show that the re-
action does not run in the complete absence of copper, but is
highly effective with only ppm levels of Cu salts. At these very
low loadings, it is highly unlikely that any other metal could be
present in amounts high enough to allow the observed cataly-
sis. One of the few metals that has been shown to work at
ppb levels is Pd,[89,90] which, however, was found to be incom-
petent under the present conditions in which Cu is hyperac-
tive. The specific reaction studied was found to be limited by
mass transfer of the heterogeneous base, possibly in combina-
tion with inadequate mass transfer of the potassium salt of the
deprotonated heteroaromatic substrate. The diamine additive
dimethylethylenediamine (DMEDA) is believed to act as
a mass-transfer promoter, accelerating the reaction rate even
at a 2000-fold excess. Liu and co-workers have shown that
using soluble organic bases and more polar solvents promotes
the reaction efficiently at room temperature utilizing high-[Cu]
regime conditions.[55] This observation not only lends support
to the conclusions presented here, but it also provides a start-
ing point for further development of the submol% Cu cata-
lyzed CÀN cross-coupling methodology.
to have energies of>120 kJmolÀ1
.
Interestingly, employing unrestricted open-shell singlet cal-
culations, we could identify a transition state (TS) for the direct
transfer of the phenyl group via a four-centered TS that elec-
tronically can by characterized as a concerted AT recombina-
tion or, alternatively, a “biradical s-bond metathesis”. The free
energy barrier of this process is higher than that of the AT,
144 kJmolÀ1, in part owing to the high entropic penalty associ-
ated with the more ordered TS. The more common closed-
shell s-bond metathesis has been excluded as a viable path-
way in the Buchwald–Houk study,[81] but for comparison, we
also calculated this more compact TS, which had an energy
barrier of 152 kJmolÀ1. However, a detailed comparison of
these paths became irrelevant when we next turned to investi-
gate the “standard” path of oxidative addition/reductive elimi-
nation. The oxidative addition of PhI to the DMEDA–Cu–pyrro-
lide complex proceeds with a low barrier of 68 kJmolÀ1. This
step was found to be effectively irreversible, with the reductive
elimination TS (in which the CÀN bond is formed) lying ap-
proximately 30 kJmolÀ1 lower on the free-energy surface. This
is a significant difference from the results in the Buchwald–
Houk study,[81] but in agreement with the work of Zhang
et al.,[78] as well as Lefꢁvre et al.[82]
From the Hammett study, we can exclude a single-electron-
transfer (SET) mechanism, and also cast severe doubts on the
atomic-transfer (AT) mechanism. The DFT results gives further
evidence against these proposals as well as the s-bond meta-
thesis mechanism, but instead supports a classical oxidative
addition/reductive elimination mechanism. The collective re-
sults indicate that the rate-limiting step of the reaction in-
cludes both the formation of the apparent reactive intermedi-
ate, a DMEDA-CuI-nucleophile complex, and the subsequent
oxidative addition, also found in previously published works
by Zhang et al.,[78] as well as Lefꢁvre et al.[82] As a final remark,
it is evident from this study, and in light of previous published
works by several research groups, that the reaction mechanism
is highly dependent on ligand, aryl halide, and nucleophile.
Most probably, the mechanism of these reactions does not in-
volve radical intermediates or biradical-type transition states.
The low calculated barrier obtained for the oxidative addi-
tion pathway is rather unexpected from an experimental view-
point. With such a low barrier, the reaction should proceed
rapidly even below room temperature, whereas the standard
protocol calls for a temperature of 1358C, and even our most
reactive system (in neat DMEDA) requires 658C.[75] To reconcile
the temperature requirement with our current computational
results, it is reasonable to assume that formation of the
DMEDA–Cu–pyrrolide complex constitute an unfavorable equi-
librium that necessitates both the high reaction temperatures
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