Journal of the American Chemical Society
Article
may take place in the triplet stateeither way, the radical
coupling is faster than the rebound, which has a higher energy
3
barrier of 12.3 kcal mol−1. In TSRC, the Ru−O distance is
slightly longer than that of 1-O (1.74 vs 1.70 Å), and the O−C
distance is rather long (2.56 Å). The reactant-like nature of
3TSRC indicates that it should be easily accessible without
significant changes to the structure of the cubane. However,
the barrier height (9.3 kcal mol−1) and the significant amount
of α spin density localized on both O and C (ρ = 0.33α and
0.38α, respectively) suggest electronic repulsion between these
two moieties and provide a plausible explanation for the
greater barrier height of the triplet state relative to the lack of
barrier in the singlet.
The lack of anthracene formation prompted an investigation
into the free energy barriers for possible pathways to generate
anthracene. DFT predicts an energy barrier of 13.5 kcal mol−1
for an HAA reaction between 1-OH and 9-hydroanthracyl
radical, which is slightly higher than the barrier height of the
radical rebound (12.3 kcal mol−1). Because the formation of
anthracene is not an experimentally observed pathway, the
small energy difference between the two processes (1.2 kcal
mol−1) implies that the radical rebound is also unfavorable,
further strengthening the proposed radical combination
mechanism.
Figure 2. (a) Spin density of 1-O (ρ(Ru:O) = 0.56:0.36α). (b) Spin
density of 1-OH (ρ(Ru:O) = 1.4:0.25α). Isovalue is 0.02 for both 1-
O and 1-OH. All hydrogen atoms except that of the hydroxo ligand of
1-OH were removed for clarity.
reaction (Scheme 3, step 2A). This hypothesis was
corroborated by computing the associated reaction pathways.
The DFT-calculated energy profiles of the plausible reaction
mechanisms for formation of 1-OHAn solvated by chloroform
(conductor-like polarizable continuum model, C-PCM)48,49 at
296.15 K are shown in Figure 3. The first step involves
formation of 1-OH and 9-hydroanthracyl radical (HAn•) via
HAA from DHA by 1-O (Figure 3, top). This reaction
traverses the doublet transition state 2TSHAA with a rate-
determining barrier of 18.9 kcal mol−1. Over the course of the
reaction, the spin density steadily accumulates on Ru (ρ =
0.56α, 1.06α, and 1.40α in 1-O, 2TSHAA, and 1-OH,
respectively). In contrast, the spin density on the oxo decreases
Additionally, the HAA reaction between 1-O and 9-
hydroanthracyl radical to form anthracene was found to have
a barrier of 7.2 kcal mol−1 in the triplet state. Because this
reaction is not observed experimentally, the fact that the
barrier is lower than that of the triplet radical combination (9.3
kcal mol−1) implies that the latter pathway can be discounted.
Note that the singlet transition for the HAA reaction between
1-O and 9-hydroanthracyl radical was found to be barrierless,
but this possibility is not preferred since the triplet state
transition is lower in energy (Figure S56). Taken together,
DFT calculations reveal a barrierless radical combination step
between 1-O and 9-hydroanthracyl radical in the singlet state
until the transition state, after which a slight increase of spin
2
density occurs (ρ = 0.36α, 0.12α, and 0.25α in 1-O, TSHAA
,
and 1-OH, respectively). β spin density originating from the
increasing radical character of DHA is shared between the
carbon undergoing HAA and the terminal oxo. The observed
polarization of spin density toward the Ru−O···H···C moiety is
consistent with a concerted HAA mechanism.
The oxygen rebound mechanism in the reaction of 1-OH
with the 9-hydroanthracyl radical to yield the hypothesized
anthracenol-bound Ru(III) intermediate (2POR) (step 2B in
Scheme 3) was found to have a feasible energy barrier of 12.3
kcal mol−1 (Figure 3, top). However, a competing reactiona
radical combination between starting material 1-O and the 9-
hydroanthracyl radical to yield the observed 1-OHAn species
(step 2A in Scheme 3)was found to be essentially barrierless
(vide infra) and should therefore outcompete the oxygen
rebound pathway.
3
and a subsequent singlet-to-triplet SCO yielding 1-OHAn.
The divergence in mechanism from a conventional oxygen
rebound is reminiscent of several reports on mononuclear
nonheme metal−oxo complexes.50−52 In these systems, the
oxygen rebound mechanism is disfavored in preference for a
pathway involving dissociation of the substrate radical from the
metal−hydroxo intermediate and further reaction with an
oxidizing metal center or a radical trap.53 Consistent with the
latter scenario, 1-O may be regarded as a radical trap that
intercepts the diffusing 9-hydroanthracyl radical to form 1-
OHAn. An analogous radical coupling reaction was observed
in the HAA reaction of methane with a ZnII−oxyl species
stabilized in an MFI-type zeolite.54 In this system, after a ZnII−
OH species and a methyl radical are generated in the HAA
step, another site of ZnII−oxyl readily traps the methyl radical
to form a ZnII−OCH3 species.
In the radical-combination pathway, two different electronic
states, singlet and triplet, were considered; the spin state
depended on whether the spins at the terminal oxo and the
carbon-centered radical were aligned antiparallel or parallel
(Figure 3, bottom). The energy barrier required for the triplet
To further support the dissociation of the free radical from
1-OH, a 2:1 reaction of 1-O with DHA was performed under
an atmosphere of O2, a commonly used radical trap.53 In
contrast to the identical reaction performed in an N2
atmosphere (vide supra), anthraquinone was observed as a
major product (66%) while only a small amount of 1-OHAn
3
transition state TSRC was found to be 9.3 kcal mol−1. The
singlet transition, however, was found to be barrierless due to
spin coupling toward bond formation.
Because of the small energy difference between the singlet
and triplet states in the reactant complexes of the radical-
combination pathway (ΔG(1RRC) − ΔG(3RRC) = 0.6 kcal
mol−1), the reaction may take place in the singlet state, without
an energy barrier, and yield the most stable triplet product, 31-
OHAn, after spin crossover (SCO). Alternatively, the reaction
1
(15%) was observed after 22 h as determined by H NMR
spectroscopy (Table S4). The interference of O2 with this
reaction resulted in the formation of anthraquinone and the
reduction in yield of 1-OHAn. These observations suggest that
the substrate radical likely diffuses away from 1-OH and is
E
J. Am. Chem. Soc. XXXX, XXX, XXX−XXX