The uptake of hydrogen atoms (H-atoms) into reducible metal oxides has implications in catalysis and energy storage. However, outside of computational modeling, it is difficult to obtain insight into the physicochemical factors that govern H-atom uptake at the atomic level. Here, we describe oxygen-atom vacancy formation in a series of hexavanadate assemblies via proton-coupled electron transfer, presenting a novel pathway for the formation of defect sites at the surface of redox-active metal oxides. Kinetic investigations reveal that H-atom transfer to the metal oxide surface occurs through concerted proton-electron transfer, resulting in the formation of a transient VIII-OH2 moiety that, upon displacement of the water ligand with an acetonitrile molecule, forms the oxygen-deficient polyoxovanadate-alkoxide cluster. Oxidation state distribution of the cluster core dictates the affinity of surface oxido ligands for H-atoms, mirroring the behavior of reducible metal oxide nanocrystals. Ultimately, atomistic insights from this work provide new design criteria for predictive proton-coupled electron-transfer reactivity of terminal M═O moieties at the surface of nanoscopic metal oxides.
The uptake of hydrogen atoms (H-atoms) into reducible metal oxides has implications in catalysis and energy storage. However, outside of computational modeling, it is difficult to obtain insight into the physicochemical factors that govern H-atom uptake at the atomic level. Here, we describe oxygen-atom vacancy formation in a series of hexavanadate assemblies via proton-coupled electron transfer, presenting a novel pathway for the formation of defect sites at the surface of redox-active metal oxides. Kinetic investigations reveal that H-atom transfer to the metal oxide surface occurs through concerted proton-electron transfer, resulting in the formation of a transient VIII-OH2 moiety that, upon displacement of the water ligand with an acetonitrile molecule, forms the oxygen-deficient polyoxovanadate-alkoxide cluster. Oxidation state distribution of the cluster core dictates the affinity of surface oxido ligands for H-atoms, mirroring the behavior of reducible metal oxide nanocrystals. Ultimately, atomistic insights from this work provide new design criteria for predictive proton-coupled electron-transfer reactivity of terminal M═O moieties at the surface of nanoscopic metal oxides.
Hydrogen atom (H-atom)
uptake in reducible metal oxides has emerged
as a popular route for doping materials with implications in catalysis,
energy storage, and energy conversion. H-atom insertion has been accomplished
through a number of methods, including hydrogen spillover[1−3] and the codoping of electrons and protons.[4−6] More recently,
the concerted transfer of protons and electrons (i.e., proton-coupled
electron transfer or PCET) from molecular donors has been identified
as an alternative means for the incorporation of proton/electron pairs
into metal oxides,[7−9] which enables the activation of inert substrates
and materials by bypassing energetically costly intermediates.[10,11] Thus, the development of systems, which involve PCET to and/or from
these materials, presents as an exciting area of research, with implications
in the development of novel reactivity at metal oxide surfaces.While the dynamics of proton and electron transfer at metal oxide
surfaces have been studied extensively in the field of electrochemical
energy storage,[12,13] researchers have only very recently
begun to understand how these processes play out on molecular length
scales.[14,15] Seminal work from Tilley has described H-atom
uptake in cobalt oxide cubanes, demonstrating that these assemblies
function as potent oxidants capable of facilitating the C–H
bond activation (Figure ).[16] Additionally, iron oxide dimers have
been shown to direct H-atom reactivity toward the oxido moiety spanning
the two metal centers.[17] More recently,
reports from our group[18] (Figure ) and others[19] describe the ability of multimetallic vanadium oxide complexes
to facilitate the activation of E–H (E = O, N, C) bonds via
PCET. Notably, all of these examples have focused on PCET to bridging
oxide moieties, resulting in the formation of surface μ2-OH ligands.
Figure 1
Select examples of proton-coupled electron-transfer reactivity
of molecular metal oxide clusters.
Select examples of proton-coupled electron-transfer reactivity
of molecular metal oxide clusters.By comparison, a few investigations have probed the reactivity
of terminal oxido moieties in multinuclear molecular
MO assemblies. This gap in knowledge
is striking, as the thermochemistry of H-atom transfer (HAT) to these
surface sites is critical for elucidating the mechanisms of oxygen-atom
(O-atom) defect formation in reducible metal oxides. In a series of
articles targeting the understanding of HAT of relevance to C–H
oxidation in enzymes, Agapie and co-workers reported the activation
of M=O moieties in multinuclear molecular clusters supported
by a multidentate ligand (Figure ).[20,21] In these works, the progression
of the apical metal ion (M = Fe, Mn) from a metal-aquo species to
a high-valent terminal metal oxido, via an isolable metal-hydroxide
intermediate, is probed. The authors note that the oxidation-state
distribution of the distal metal ions has a dramatic impact on the
HAT reactivity of the site-differentiated metal center. More recently,
Tilley and co-workers have shown that a terminal RuV-oxo
embedded within a cobalt oxide cubane is able to facilitate the C–H
oxidation of organic substrates via H-atom abstraction. However, due
to the instability of the proposed RuIII–OH2 product, the authors were unable to determine the precise
thermochemical parameters of HAT in this system.[22]In an effort to understand how surface-based reactivity
at metal
oxides translates across the periodic table to early transition metal
complexes, our research group is studying proton and H-atom uptake
in polyoxovanadate-alkoxides (POV-alkoxides). Upon introduction of
protons to the dianionic assembly, [V6IVO7(OR)12]2–, the formation of an
O-atom vacancy at the surface of the polyoxovanadate is observed.[23,24] These studies provide a distinct perspective on mechanisms of acid-induced
surface activation of nanoscopic metal oxide materials, as these clusters
lack the nucleophilic surface bridging oxido moieties commonly invoked
in charge compensation following the reduction of POMs (i.e., protonation).
This attribute of POV-alkoxides allows for control over site-specificity
in PCET by directing reactivity to terminal oxido moieties.Herein, we describe PCET to a series of POV-alkoxides, [V6O7(OCH3)12] (n = 1–, 0, 1+); reduction of a single,
terminal vanadyl moiety occurs upon the addition of 2 equiv of H-atoms,
resulting in the formation of an O-atom vacancy (Scheme ). Our studies reveal that
more oxidized POV-alkoxides are able to abstract H-atom equivalents
from substrates with stronger E–H bonds, indicating that the
oxidation state distribution of distal vanadium centers influences
the reactivity of a single site in the Lindqvist ion. We additionally
summarize a series of kinetic investigations that give insight into
the mechanism of HAT in these systems; activation of a terminal V=O
bond proceeds through a rate-limiting concerted proton–electron-transfer
step. Eyring analysis reveals that the entropy of activation is sensitive
to the pKa of substrate and basicity of
the cluster surface, indicating preorganization of H-atom donor and
acceptor prior to HAT. This work provides atomistic insight into the
role terminal oxido moieties play in the activation of metal oxide
surfaces by HAT.
Scheme 1
H-Atom Transfer to POV-Alkoxide Clusters Studied in
This Work
Scheme includes key, associating
presented structures with labels used throughout the work.
H-Atom Transfer to POV-Alkoxide Clusters Studied in
This Work
Scheme includes key, associating
presented structures with labels used throughout the work.
Results and Discussion
Reactivity of H-Atom Donors with VO
The reactivity of systems in
which electrons and
protons are transferred as pairs has been shown to rely on the relative
strengths of the E–H bonds (where E = O, N, C, etc.) that are
broken and formed during the course of the reaction.[25] As such, quantification of the E–H bond free energy
helps predict the reactivity of systems. A common approach for the
determination of E–H bond strengths relies on methods popularized
by Bordwell.[26] Using thermochemical parameters
involved in the individual steps of proton and electron transfer,
the strength of the E–H bond can be determined using eq , in terms of the bond
dissociation free energy (BDFE)where E° is the standard
reduction potential, pKa is the acid dissociation
constant, and Cg is a constant that relates
to the reduction potential of H+/H• in
the solvent of interest (Cg = 52.6 kcal/mol
in acetonitrile, MeCN[27]).Previous
work has reported that the surface basicity of POV-alkoxides is dependent
on the oxidation state of the assembly, two factors that influence
the BDFE(E–H), as outlined by the Bordwell equation.[24] This observation led us to hypothesize that
terminal oxido moieties in vanadium oxide clusters might also be reactive
with H-atoms. To directly probe the reactivity of POV-alkoxides with
H-atom donors, we first investigated the reactivity of [V6O7(OCH3)12]1– (VO) with 5,10-dihydrophenazine
(H2Phen; BDFE(N–H) avg. = 58.7 kcal/mol;[27]Scheme ). This substrate has the weakest E–H bonds of those
studied in this work and thus seemed an appropriate starting point.
While, in principle, HAT would result in the formation of [V6O6(OH)(OCH3)12]1–, the established instability of the hydroxide species translates
to an expected product distribution of an equimolar mixture of the
fully oxygenated parent cluster (VO) and the O-atom vacant product [V6O6(OCH3)12(MeCN)]1– (VO).[23,24] Upon the addition of H2Phen to VO, a rapid color change from green to brown was observed. Analysis
of the product by proton nuclear magnetic resonance (1H
NMR) spectroscopy revealed four paramagnetically shifted and broadened
resonances (Figure ): one signal is located at 23.4 ppm, corresponding to VO, with the remaining three resonances
found at 25.3, 23.9, and −15.6 ppm consistent with the formation
of VO.[28]
Figure 2
1H NMR spectra of reactions between VO and various equivalents of H2Phen
(0.5 equiv, top; 1 equiv, bottom) in CD3CN at 21 °C.
1H NMR spectra of reactions between VO and various equivalents of H2Phen
(0.5 equiv, top; 1 equiv, bottom) in CD3CN at 21 °C.While consistent with our proposed mechanism of
hydroxide-substituted
POV-alkoxide disproportionation,[23,24] the observed
reactivity with one H-atom equivalent leaves half an equivalent of
starting material in the reaction mixture. Thus, we hypothesized that
the addition of a full equivalent H2Phen to VO, correlating to the availability of
two H-atom equivalents, might result in the complete conversion of
the fully oxygenated POV-alkoxide cluster to its oxygen-deficient
congener. Exposure of 1 equiv of H2Phen to a solution of VO in MeCN results in a rapid
color change from dark green to deep pink. The reaction reaches completion
within 45 min, with the sole product identified as VO (96% yield; Figure , bottom). The anticipated byproducts of
this reaction, phenazine and water, are also observed in the 1H NMR spectrum of the crude reaction mixture (Figure S1).The molecular structure of VO has not been previously reported,
despite significant efforts
by our research group. However, the improved yield of the oxygen-deficient
cluster accessed via HAT provided a sample with sufficient purity
for the growth of single crystals suitable for X-ray analysis (Figure and Tables and S1; see the Supporting Information for additional
information). Refinement of the data revealed the expected speciation
for VO, where the cluster
features a single, O-atom-deficient vanadium center, with the defect
site saturated by a coordinated MeCN molecule. The site-differentiated
vanadium center exhibits a short V1–Oc bond (2.068(4)
Å; Oc = μ6-oxido moiety located in
the center of the Lindqvist ion); this observation is consistent with
trends noted in V1–Oc bond lengths in previously
reported oxygen-deficient POV-alkoxide clusters.[28−30] Notably, as
each vanadium is located on a general position within the unit cell,
the assignment of individual oxidation states of metal centers can
be accomplished through bond valence sum (BVS) calculations (Table S2). These calculations corroborate the
experimentally determined oxidation-state distribution of VO (VIIIV5IV).[28]
Figure 3
Molecular structures of VO and VO shown as 50% probability
ellipsoids. Key: V, green; N, blue; O, red; and C, gray. H-atoms are
removed for clarity.
Table 1
Selected
Bond Lengths and Angles for VO,[47]VO, VO,[47] and VO Found from Their
Solid-State Molecular Structures
bond
V6O71–n = 1–3
V6O61–n = 2–6
V6O71+n = 1–4
V6O61+n = 2–6
V1–N1
2.115(7) Å
2.089(4) Å
V1–Oca
2.068(4) Å
2.083(3) Å
Vn–Ot (avg)b,c
1.606 Å
1.600 Å
1.577 Å
1.590 Å
Vn–Oc (avg)a,b
2.311 Å
2.333 Å
2.274 Å
2.313 Å
Oc =
μ6 central O-atom.
Vn = vanadyl ions within
the Lindqvist core.
Ot = terminal oxido ligands.
Molecular structures of VO and VO shown as 50% probability
ellipsoids. Key: V, green; N, blue; O, red; and C, gray. H-atoms are
removed for clarity.Oc =
μ6 central O-atom.Vn = vanadyl ions within
the Lindqvist core.Ot = terminal oxido ligands.The oxidation-state distribution observed in VO presents an intriguing analogy
to studies
on proton–electron co-doping in vanadium dioxide. The net incorporation
of H-atoms into the extended VO2 lattice has been shown
to generate VIII centers throughout the material, as observed
in X-ray photoelectron spectroscopy (XPS) and XANES analyses.[4,5] This indicates the reduction of both the metal centers and corresponding
M–O bonds upon the addition of hydrogen equivalents. The authors
hypothesize that the H-atom uptake results in the formation of V–OH
moieties within the lattice of the doped material, supported by infrared
analyses that reveal the formation of O–H bonds following electron–proton
codoping of VO2. Our work with POV-alkoxides similarly
reveals the formation of a VIII center following HAT to
the cluster surface. However, through the use of single-crystal X-ray
diffraction, the atomic precision in our analysis of the products
of H-atom uptake in POV-alkoxide clusters indicates the formation
of an oxygen vacancy following reduction. This result suggests that
the product speciation of H-atom-doped VO2 could alternatively
include metal-aquo species at the O-atom deficient sites.Next,
we investigated the HAT reactivity of VO with additional substrates possessing stronger
E–H bonds (e.g., 2,6-di-tert-butyl-1,4-hydroquinone, tBu2HQ, BDFE(OH): 62.8 kcal/mol; 2,6-dimethyl-1,4-hydroquinone,
Me2HQ, BDFE(OH): 64.6 kcal/mol; 1,4-hydroquinone, HQ, BDFE(OH):
67.3 kcal/mol)[27] in an attempt to benchmark
the thermodynamics of HAT to the monoanionic POV-alkoxide cluster.
Upon the exposure of VO to the aforementioned substrates, no reaction was observed. In the
case of the reaction of VO with hydrazobenzene (Hydz; average BDFE(N–H) = 60.9 kcal
mol–1),[27] the addition
of an equivalent of substrate results in the formation of a small
amount of the vacancy product (Figure ). We hypothesized that the poor conversion at room
temperature might be due to the comparatively high BDFE(N–H)
describing the first HAT event from Hydz to the cluster, resulting
in a prohibitively large activation barrier for defect formation under
ambient conditions. Indeed, running the reaction at elevated temperatures
reveals the quantitative formation of VO after 72 h (Figure S2).
Figure 4
1H NMR spectra of reactions between VO and HAT reagents in CD3CN at 21
°C.
1H NMR spectra of reactions between VO and HAT reagents in CD3CN at 21
°C.The various extents of HAT reactivity
between the monoanionic cluster
and organic substrates possessing a range of BDFE(E–H) values
suggest that thermodynamics dictates this type of reactivity at the
terminal vanadyl sites. As such, we predict that the strength of the
transiently formed hydroxide species possesses a BDFE(O–H)
in the range of 60–62 kcal/mol based on the reactivity observed
in Figure . In an
attempt to better quantify this value, we turned to methods popularized
by Bordwell via eq ,
where reduction potentials and acid dissociation constants required
to form the hydroxide species (Scheme ) allow for precise determination of the bond strength
formed at the vanadyl site. While the reduction potential of POV-alkoxide
clusters has been reported by our group and others, acid dissociation
constants for the purported hydroxide-substituted assembly are unable
to be found due to their instability. Indeed, describing proton uptake
in terms of equilibrium constants is not possible due to the rapid
disproportionation of the acidified cluster. To work around this constraint,
we turn to previous work from our group that has shown the direct
relationship between the oxidation state of the cluster and its affinity
for protons in acetonitrile.[24] In this
work, the reactivity of the fully oxygenated cluster, [V6O7(OCH3)12]2–,
with organic acids of varying strengths (pKa = 22.6–12.5) was evaluated; the addition of acids of pKa values higher than 18 revealed incomplete
conversion of [V6O7(OCH3)12]2– to the disproportionation products, VO and VO. Under the assumption that the conversion of half of [V6O7(OCH3)12]2– corresponds to a “half-way” point for cluster acidification,
we can approximate the pKa of the hydroxide-substituted
species, [V6O6(OH)(OCH3)12]1–. Using the reduction potential of VO (−0.78 V) and the approximated
pKa of [V6O6(OH)(OCH3)12]1– (19.3), we estimate the
BDFE(O–H) of [V6O6(OH)(OCH3)12]1– to be 61 kcal/mol (Scheme and Table ). The predicted BDFE(O–H) for [V6O6(OH)(OCH3)12]1– is broadly consistent with its observed reactivity with organic
H-atom donors.
Scheme 2
Theoretical Thermochemical Square Scheme for a 1e-/1H+
Transfer to VO
Using the reduction potential
of VO and an approximated
pKa of [V6O6(OH)(OCH3)12]1–, we estimate the strength
of the surface V(O–H) moiety of [V6O6(OH)(OCH3)12]1– to be 61
kcal/mol.
Table 2
Thermochemical Parameters
Used to
Find Theoretical Bond Dissociation Free Energies for Transient Hydroxide-Substituted
POV-Alkoxide Clustersa
compounda
pKa[24]
E1/2 (vs Fc+/0)[27]
BDFE(O–H)
[V6O6(OH)(OCH3)12]1–
19.3
–0.78 V
61 kcal/mol
[V6O6(OH)(OCH3)12]0
12.5
–0.28 V
63 kcal/mol
[V6O6(OH)(OCH3)12]1+
5.5
0.25 V
66 kcal/mol
Refer to Scheme for the relevant
square scheme of the PCET
reaction.
Theoretical Thermochemical Square Scheme for a 1e-/1H+
Transfer to VO
Using the reduction potential
of VO and an approximated
pKa of [V6O6(OH)(OCH3)12]1–, we estimate the strength
of the surface V(O–H) moiety of [V6O6(OH)(OCH3)12]1– to be 61
kcal/mol.Refer to Scheme for the relevant
square scheme of the PCET
reaction.While the determination
of thermochemical values, such as BDFE(E–H),
allows for the driving force of a reaction to be predicted, this information
is not sufficient for the elucidation of the HAT reaction pathway.
Given the fact that mechanistic variations of PCET in metal oxides
can result in significant consequences in the kinetics of surface-mediated
processes,[25] we performed further analysis
to determine the mechanism by which the oxygen-deficient product is
generated. Both the parent cluster, VO, and the product, VO, are distinguishable via 1H NMR spectroscopy. As such,
we are able to establish the rate of the reaction by monitoring changes
in the concentration of the product as a function of time (Figure ; see the Experimental Section for additional details). Initial
experiments focused on establishing a rate expression for defect formation,
allowing for insight into the rate-limiting step of the reaction between
the monoanionic cluster and the HAT reagent, H2Phen. Using
pseudo-first order reaction conditions, the order with respect to
each reactant can be determined. In terms of both the cluster and
HAT reagent, the slopes of the plot of the natural log of rate vs
the natural log of concentration indicate an order of 1, resulting
in the rate expression seen in eq The experimentally determined rate
expression
indicates that the rate-limiting step of the O-atom vacancy formation
via HAT involves the reaction of 1 equiv of the monoanionic cluster
and 1 equiv of the reductant. However, an understanding of the specific
sequence of electron and proton transfer from the reductant to the
cluster requires additional experimentation. In general, PCET occurs
in one of three simple mechanisms:[25,31] (1) the proton
can be transferred in an initial step, followed by the electron (typically
referred to as proton transfer–electron transfer, or PT–ET),
(2) the electron can be transferred first followed by the proton in
electron transfer–proton transfer (ET–PT), and (3) both
electron and proton are transferred in a single kinetic step, known
as concerted proton–electron transfer (CPET). Understanding
which pathway PCET occurs is vital for developing efficient HAT systems.
Figure 5
Natural
log of the rate plotted against the natural log of the
concentration of each reactant in the reduction of VO by H2Phen. All reactions are performed
in MeCN at −5 °C. (A) The changes in the rate of formation
of VO as the concentration
of VO is varied from 0.5
to 1 mM. The concentration of H2Phen is held at 5 mM. The
slope of ∼1 indicates an order of 1 for the reaction. (B) The
changes in the rate of formation of the cluster VO as the concentration of H2Phen
is varied from 0.5 to 1 mM. The concentration of VO is held at 5 mM. The slope of ∼1 indicates
an order of 1 for the reaction.
Natural
log of the rate plotted against the natural log of the
concentration of each reactant in the reduction of VO by H2Phen. All reactions are performed
in MeCN at −5 °C. (A) The changes in the rate of formation
of VO as the concentration
of VO is varied from 0.5
to 1 mM. The concentration of H2Phen is held at 5 mM. The
slope of ∼1 indicates an order of 1 for the reaction. (B) The
changes in the rate of formation of the cluster VO as the concentration of H2Phen
is varied from 0.5 to 1 mM. The concentration of VO is held at 5 mM. The slope of ∼1 indicates
an order of 1 for the reaction.A common tool used to narrow the possible pathways by which PCET
occurs is kinetic isotope effect (KIE) experiments. These studies
are designed to probe the involvement of hydrogen in the rate-limiting
step; upon isotopic substitution, a significant decrease in the rate
of reaction is observed if hydrogen is transferred during the rate-limiting
step of a given reaction.[32] When repeating
rate analysis using D2Phen a substantial decrease in the
rate of formation of VO is observed (kobs-D = 5 ×
10–4). The KIE value of 2.1 (kobs-H/kobs-D) eliminates
the possibility for an ET–PT pathway (Figure S3). We can additionally eliminate the PT–ET pathway,
as the mild basicity of the cluster surface prohibits direct protonation
of the assembly by H2Phen.[24] This leaves the CPET pathway as the most likely mechanism for the
transfer of a H-atom equivalent to VO.With this information, we are able to propose two possible
reaction
mechanisms for the formation of VO (Scheme ):
(1) An initial rate-limiting CPET step forming [V6O6(OH)(OCH3)12]1– is
followed by the rapid transfer of a second proton–electron
pair to generate [V6O6(OH2)(OCH3)12]1–. This multistep PCET reaction
is followed by displacement of the aquo ligand from the surface of
the cluster by MeCN. (2) An initial rate-limiting CPET step results
in the formation of [V6O6(OH)(OCH3)12]1–, which rapidly disproportionates
to form half an equivalent of both the initial cluster, VO, and the aquo species. The aquo ligand
then dissociates from the cluster, resulting in the formation of VO.
Scheme 3
Proposed Mechanisms
for the Formation of 2-VO via HAT
Of the aforementioned mechanisms,
the second pathway can be eliminated
as a possibility due to the observed quantitative formation of VO; disproportionation necessitates
that some amount of parent POV-alkoxide be present at the completion
of the reaction. Further support for mechanism 1 is derived from recent
work from our research team describing the reactivity of POV-alkoxide
clusters with a silyl radical transfer reagent.[33] In this study, the addition of half an equivalent of Mashima’s
regent (1,4-bis(trimethylsilyl)dihydropyrazine) to VO results in the formation of the isolable siloxide
functionalized assembly, [V6O6(OSiMe3)(OMe)12]1-. Subsequent addition of
an equivalent of silyl radical to [V6O6(OSiMe3)(OMe)12]1– results in the formation
of the oxygen-deficient POV-alkoxide cluster, VO, with the concomitant formation of hexamethyldisiloxane. Considering
that silyl radicals have recently garnered popularity as substrates
that effectively model the reactivity of H-atoms,[34−36] we hypothesize
that HAT for O-atom defect formation follows a similar pathway.While there have been a few previous studies providing mechanistic
insight into the activation of M=O bonds at the surface of
POMs and materials through PCET, a significant amount of work has
probed the high-valent metal-oxo activation via HAT with monometallic,
molecular metal oxide compounds.[22,37−43] Most often, the reduction of an M=O bond proceeds through
a multistep reaction pathway (see mechanism 1, Scheme ). Comparison of the reactivity between the
corresponding M=O and M–OH compounds reveals that the
hydroxide species is significantly more reactive, sometimes unobservable
by transient spectroscopic analysis. We note here that in a similar
manner, no spectroscopic evidence of a hydroxide-containing intermediate
has been observed over the course of our studies. Even at early time
points at reduced temperatures, the seemingly direct formation of VO is observed following the
addition of HAT reagents to VO (Figure S4).
Charge-State
Dependence on H-Atom Uptake in [V6O7(OCH3)12] (n = 0, +1)
Intrigued by defect formation
resulting from H-atom uptake in VO, we became curious as to whether cluster charge state plays
a significant role in the HAT reactivity of the vanadium oxide assembly.
In previous work, we have noted a substantial trend between oxidation-state
distribution and cluster basicity, identifying that more reduced clusters
exhibit a higher affinity for protons. Using the estimated pKa values for the corresponding transient hydroxide-substituted
POV-alkoxide clusters and reduction potentials for all redox states
of the relevant assemblies, we can estimate the theoretical BDFE for
a V–OH site in more oxidized congeners (eq and Table ). We find that this theoretical O–H bond strength
increases by ∼2.5 kcal/mol for each equivalent of electrons
removed from the cluster core. This trend mirrors observations by
Mayer and co-workers, wherein the relative proportion of CeIII and CeIV centers in colloidal cerium oxide nanoparticles
directs the reactivity of H-atom donors, with more oxidized particles
featuring improved H-atom abstraction properties over their reduced
analogues (vide infra).[46]To assess whether these expected trends are empirically operative,
we next investigated HAT reactivity between the more oxidized forms
of the POV-alkoxide (e.g., [V6O7(OCH3)12], VO; [V6O7(OCH3)12][OTf], VO) and the library of H-atom donors. In the case
of complex VO, analysis of the 1H NMR spectrum of the crude reaction mixture following exposure
of the cluster to an equivalent of H2Phen suggests the
quantitative removal of a terminal oxido group (Figure ). The three paramagnetically shifted and
broadened resonances located at 25.3, 18.2, and −12.6 ppm match
those previously reported for the neutral O-atom-deficient species,
[V6O6(OCH3)12(MeCN)] (VO).[29] Analogous
conversion of the neutral POV-alkoxide to its oxygen-deficient congener
was observed following the addition of 1 equiv of Hydz. Time-point
analysis reveals quantitative conversion to VO after 2 h at room temperature, suggesting improved reactivity
of the oxidized form of the cluster over its reduced congener (Figure S5). Indeed, the formation of VO on preparatory scales was accomplished via the
addition of Hydz to VO, resulting in
isolation of the neutral, oxygen-deficient assembly in good yield
(76%). Minor formation of VO was observed
when VO was reacted with tBu2HQ, consistent with the proposed thermodynamic ceiling
of reactivity for the neutral cluster (Figure and Table ). Indeed, upon heating the reaction to 50 °C
for 65 h, formation of the neutrally charged, O-atom vacant product, VO, can be observed by 1H
NMR spectroscopy (Figure S6).
Figure 6
1H NMR spectra of reactions between VO and 2 e–/2 H+ donors
in CD3CN at 21 °C.
1H NMR spectra of reactions between VO and 2 e–/2 H+ donors
in CD3CN at 21 °C.Attempts to evaluate HAT for the formation of O-atom defects at
the surface of the cationic POV-alkoxide cluster, VO, were complicated by competing for the reduction
of the assembly. Upon addition of an equivalent of H2Phen
to VO, rapid formation of VO was observed (Figures and S7). The
oxidizing nature of complex VO renders electron transfer from this H-atom donor thermodynamically
favorable (E1/2 H2Phen = −0.187 V vs
Fc+/0 (Figure S8); E1/2VO = +0.25 V vs Fc+/0); thus, reduction of the cluster to its neutral congener becomes
a kinetically competitive side reaction in this system.
Figure 7
1H NMR spectra of reactions between VO and 2e– / 2H+ donors
in CD3CN at 21 °C.
1H NMR spectra of reactions between VO and 2e– / 2H+ donors
in CD3CN at 21 °C.On the other hand, reactions with HAT reagents with stronger E–H
bonds resulted in the formation of a mixture of species (Figure ). Exposure of VO to Hydz results in the formation
of VO as the major project, with
a small amount of species with three paramagnetically shifted and
broadened resonances located at 21.4, 13.7, and −11.8 ppm.
These signals are consistent with those reported for the acetonitrile-bound,
oxygen-deficient POV-alkoxide cluster, [V6O6(OCH3)12(MeCN)](OTf) (VO).[24] Similar results were observed
with Me2HQ. We note improved product conversion at early
time points using tBu2HQ as the H-atom source;
however, in all reactions, the major product observed is complex VO (vide infra). Reaction
of HQ, which features the strongest E–H bonds in the series
of H-atom donors investigated here, with VO did not result in any observable reactivity. Notably, the
single resonance corresponding to the cationic POV-alkoxide was broadened,
likely as a consequence of H-bonding between HQ and a terminal V=O
moiety at the cluster surface.To gain additional insight into
defect formation at the surface
of VO, we performed in
situ analysis of HAT between tBu2HQ
and the cationic POV-alkoxide cluster (Figure ). To our surprise, after 1 min, complete
conversion of VO to a new product
with a distinct three-peak pattern was observed (δ = 21.5, 13.5,
−12.4 ppm). In addition, all resonances corresponding to the
H-atom donor are consumed at this time point, leaving only signals
that indicate the presence of 2,6-di-tert-butylbenzoquinone.
Being that this species is relatively short-lived, its chemical identity
is unknown. However, as the reaction progresses, the resonances corresponding
to this product convert to a new set of signals, consistent with the
formation of VO. Concomitant
production of water is observed (Figure S9). These observations suggest that the initial species observed is
a POV-alkoxide with a single, terminal VIII–OH2 moiety, which converts to a VIII–MeCN adduct
upon dissociation of H2O. However, over time, the integration
of the resonance located at ∼21.5 ppm increases disproportionately
with those positioned at 13.5 and −12.4 ppm. We pose that this
is the result of the formation of VO as a byproduct of the reaction, generated as a result of the reaction
of VO with water. Indeed, control
experiments reveal that the formation of VO is observed upon the addition of 1 equiv of water to complex VO (Figure S10).
Figure 8
1H NMR spectra of reactions between VO and tBu2HQ in CD3CN at 21 °C at selected time points.
1H NMR spectra of reactions between VO and tBu2HQ in CD3CN at 21 °C at selected time points.Unambiguous confirmation of the molecular structure of VO was obtained via single-crystal X-ray diffraction
(Figure and Tables and S1). Following refinement of the data, the anticipated
product was observed; an acetonitrile solvent molecule is bound to
the oxygen-deficient vanadium oxide, with an outer-sphere triflate
anion in the unit cell. Broadly speaking, the bond metrics of the
Lindqvist ion resemble that of VO; a shortened V1–Oc bond distance is observed
(2.083(3) Å), consistent with the expected truncation of this
bond following defect formation. The average Vn=Ot and Vn–Oc bonds (Vn = vanadyl ions composing the Lindqvist core) are slightly shorter
than those observed in VO, consistent with the two-electron oxidation of the cluster core.
Notably, all bond distances resemble those reported for the “cationic”,
oxygen-deficient POV-alkoxide cluster where the triflate ion is bound
to the site-differentiated vanadium center.[28] Indeed, BVS calculations performed on the six, distinct vanadium
ions within the unit cell indicate that the oxidation of vanadyl moieties
located cis to the vacant site has occurred, in analogy
to that observed in the case of [V6O6(OCH3)12(OTf)] (Table S3).
BVS calculations confirm the proposed oxidation-state distribution
of the six vanadium ions as VIIIV3IVV2V.The reactivities of the neutral
and cationic POV-alkoxides with
organic H-atom donors represent a clear dependence of the oxidation-state
distribution of constituent V ions on H-atom abstraction capacity.
Our results show that the extraction of electron equivalents from
the cluster core results in greater H-atom affinity of a terminal
vanadyl site at the surface of the assembly. Based on our experimental
findings, we conclude that the BDFE(O–H) of the resultant hydroxide-substituted
assemblies, [V6O6(OH)(OCH3)12] (n = 0, 1+), are
between 62–63 and 65–66 kcal/mol, respectively (Figures and 7). These ranges are consistent with the calculated BDFE(O–H)s
of the transient VO–H bonds formed upon H-atom transfer to
the cluster surface in these relevant charge states using the Bordwell
equation (Table ).
We again emphasize that these BDFEs are based upon approximated pKa values for the protonated species; therefore,
the observed reactivities of the POV-alkoxides in the various charge
states do not precisely reflect what is predicted using thermodynamic
considerations. That said, the empirical and theoretical H-atom affinities
are self-consistent.Although we have seen evidence for oxidation
state impacting the
driving force of HAT to the polyoxovanadate surface, we believe that
the mechanism for the activation of M=O bonds is constant across
all charge states of the POV-alkoxide studied here. Evidence can be
seen in the reduction of the oxidized cluster VO by the deuterated compound D2Phen, where a decrease
in the observed rate constant results in a KIE value of kobs-H/kobs-D = 2.1 (kobs-H = 4.0 × 10–3; kobs-D = 1.9
× 10–3), suggesting that the H-atom is involved
in the rate-limiting step to a similar degree in both the oxidized
and reduced versions of the cluster (Figure S11). Further evidence supporting our hypothesis of a constant mechanism
across charge states was obtained through determination of the fact
that activation of a terminal V=O bond in VO proceeds first-order with respect to the reductant
(Figure S12). We were unable to determine
the order of the reaction with respect to cluster. This is due to
the fact that in the presence of an extreme excess of reductant, as
required under pseudo-first-order reaction conditions, complex VO degrades.Due to the fact that
both VO and VO are able to react with
H2Phen to form the respective vacancy product, the impact
oxidation state of the cluster has on the reactivity of the assembly
can be investigated. The observed rate constants for the reduction
of VO and VO by H2Phen reveal that upon oxidation
of the cluster, an increase in the rate constant is observed (Table ). These results are
in agreement with our experimental observation that the oxidized forms
of the cluster have a higher H-atom affinity in comparison to reduced
variants and suggest that electron density of the cluster has an impact
on the ability for reduction to occur at the terminal oxide site.
Table 3
Activation Parameters for the Reaction
between the POV-Alkoxide Cluster at Various Oxidation States and the
Reductant Dihydrophenazinea
cluster
kobs-H(s–1)
kobs-D(s–1)
ΔH‡ (kcal mol–1)
ΔS‡ (cal mol–1 K–1)
ΔG‡ (kcal mol–1)
V6O71–
1.0 × 10–3
5.0 × 10–4
6.5 ± 0.8
–40.9 ± 3.1
18.7 ± 1.7
V6O70
4.0 × 10–3
1.9 × 10–3
7.8 ± 0.8
–31.0 ± 3.3
17.1 ± 1.8
Values were obtained
from the Eyring
plots in Figure for VO and VO. ΔG‡ is reported for a temperature
of 298 K.
Values were obtained
from the Eyring
plots in Figure for VO and VO. ΔG‡ is reported for a temperature
of 298 K.
Figure 9
Eyring plot for the reaction between (A) VO and (B) VO and H2Phen. Reactions were run in pseudo-first-order
conditions, where
the concentration of the cluster was in excess at 5 mM, while the
reductant was at 1 mM. The rate of reaction was measured across a
range of temperatures from −43 to −5 °C. Values
along the Y-axis were found by dividing the observed
rate constant, kobs, by the concentration
of the respective cluster in excess to obtain the rate constant K.
Further details
into the impact oxidation state imparts on the
ability to perform HAT can be obtained through measuring the temperature
dependence on the observed rate constants for the reduction of both VO and VO. Eyring plots were obtained by varying the temperature of
the reaction while measuring the rate of formation of the respective
vacancy product, allowing for the determination of activation parameters
such as activation enthalpy, ΔH‡, entropy, ΔS‡, and free
energy ΔG‡. For the reduction of VO by H2Phen (Figure ), we obtain the parameters of ΔH‡ = 6.5 ± 0.8 kcal mol–1and ΔS‡ = −40.9 ± 3 cal mol–1 K–1. The large, negative value
of ΔS‡ indicates a bimolecular
reaction, where a single, well-ordered transition state is formed
during the rate-limiting step.Eyring plot for the reaction between (A) VO and (B) VO and H2Phen. Reactions were run in pseudo-first-order
conditions, where
the concentration of the cluster was in excess at 5 mM, while the
reductant was at 1 mM. The rate of reaction was measured across a
range of temperatures from −43 to −5 °C. Values
along the Y-axis were found by dividing the observed
rate constant, kobs, by the concentration
of the respective cluster in excess to obtain the rate constant K.Previous studies have reported
that a relatively small activation
enthalpy ΔH‡ value combined
with the large negative activation entropy ΔS‡ serves as additional evidence for CPET mechanisms.[44,45] Because CPET is an inner-sphere process, reorganization is required
in order for the reductant to make van der Waals contact with the
terminal oxido site, suggesting that the entropy term will contribute
significantly to the total activation energy. This observation provides
additional support for the activation of terminal vanadyl moieties
via CPET.The construction of an Eyring plot for the reaction
between VO and H2Phen
allows for
the activation parameters to be directly compared to the monoanionic
cluster (Figure and Table ). Results from these
experiments reveal that the activation free energy for the reduction
of the neutral cluster VO is approximately
1.6 kcal mol–1 smaller as compared to that of VO. This would agree with the
observation that upon oxidation, the POV cluster’s affinity
toward H-atoms increases. Comparing the values for the enthalpy of
activation reveals an increase in the energy required to reach the
activated transition complex upon the oxidation of VO to the neutral cluster, VO. In order for PCET to occur through a CPET pathway,
preorganization of a donor–acceptor pair must occur through
the formation of a hydrogen bond. Due to the fact that the monoanionic
cluster has a greater density of charge, the terminal metal oxide
ligands are more basic, resulting in conditions more favorable for
hydrogen bonding to occur.
Conclusions
Here,
we present the activation of terminal M=O bonds at
the surface of metal oxide clusters through proton-coupled electron
transfer as a function of molecular charge state. By introducing H-atom
donors to the fully oxygenated assembly, we can facilitate the quantitative
formation of an oxygen-deficient species. This improved preparative
pathway has allowed for isolation and structural analysis of previously
unattainable vacancy products, such as VO and VO. The observed reactivity
is reminiscent of H-atom uptake in solid-state vanadium oxides, providing
insight into the products of hydrogen incorporation into extended
materials. Kinetic analysis of defect formation suggests that the
V=O bond cleavage occurs via CPET; our proposed reaction pathway
includes an initial rate-limiting step of CPET to the terminal oxo
site, followed by a rapid transfer of a second H-atom equivalent.
Displacement of the water ligand by acetonitrile then results in the
formation of the O-atom vacancy cluster. We hypothesize that this
general reaction mechanism of the V=O bond cleavage via HAT
is retained across all charge states of the assembly.Further
analysis into the reactivity of POV-alkoxide clusters toward
M=O activation via HAT reveals a trend in the ability to extract
a H-atom from the substrate based on the oxidation state of the cluster.
Both thermochemical and kinetic analyses reveal that as electron density
of the cluster decreases, the affinity toward H-atom abstraction increases.
While this phenomenon has yet to be explored with polyoxometalates,
Agapie and co-workers have demonstrated that the BDFE(O–H)
of a terminal M–OH moiety (M = Mn, Fe) embedded in an iron
oxide cluster is likewise tuned by the oxidation-state distribution
of distal iron centers.[20,21] Notably, the BDFE(O–H)
proposed for the transient hydroxide species formed en route to the V=O bond cleavage in this work is substantially weaker
(BDFE(V–OH) = 61–66 kcal/mol) than that reported for
the metal hydroxides described above (BDFE(M–OH) = 72–84
kcal/mol, M = Fe; 92–104 kcal/mol, M = Mn).Critically,
these periodic trends lend insight to design criteria
for nanoscale metal oxide materials with targeted HAT reactivity of
relevance to small-molecule activation. Indeed, recent work from the
Mayer group has reported that the percentage of reduced metal sites
at the surface of ceria nanoparticles has a direct impact on the ability
to form hydroxide ligands through PCET.[46] In comparing the results from the ceria nanoparticles and the POV-alkoxides
studied here, neither example appears to follow shifts in BDFE(O–H)
predicted by the Nernst equation (in the case of the clusters studied
here, the Nernst equation predicts a decrease of ∼0.2 kcal/mol
per electron added). In fact, both examples result in a change of
BDFE(O–H), an order of magnitude larger than would be expected.
One explanation proposed by the Mayer group suggests that a distribution
of chemically distinct sites exists at the surface of the metal oxide
nanoparticle. These sites likely occur as a result of charge localization
at metal centers, inducing changes in the M–O bond lengths
and altering the ligand preferences for a particular site. POVs are
typically described as Robin and Day class II delocalized systems;
crystal structure analysis reveals that partial electron localization
can be observed in these assemblies, as noted in the differentiation
of VV/VIV centers through variations in V–O
bond lengths. This translates to a proposal that chemically distinct
sites may exist at the surface of POV-alkoxides. Oxidation of the
cluster alters this distribution, favoring the abstraction of H-atoms
more so than what would be expected by the Nernst equation alone.
In the case of the work from the Agapie group described above, the
authors observe significantly larger changes in BDFE(O–H) than
would be predicted.[20,21] These changes in reactivity of
the terminal M=O bond more closely resemble those reported
mononuclear metal oxidos, as opposed to extended metal oxide nanostructures.Collectively, the thermochemical and kinetic analyses of PCET at
the surface of POV-alkoxide clusters have presented insight into a
novel form of V=O bond activation at polyoxometalate surfaces.
In addition, the comparison of reactivity across a range of oxidation
states establishes trends that allow for reactivity toward HAT to
be predicted. Ongoing efforts in our laboratory include probing the
impact surface chemistry of polyoxometalates imparts on the ability
to perform H-atom abstraction and how this information can impact
the design of systems in which the transfer of both electrons and
protons is required.
Experimental Section
General
Considerations
All manipulations were carried
out in the absence of water and oxygen using standard Schlenk techniques
or in a UniLab MBraun inert atmosphere drybox under a dinitrogen atmosphere.
All glassware was oven-dried for a minimum of 4 h and cooled in an
evacuated antechamber prior to use in the drybox. Solvents were dried
and deoxygenated on a glass contour system (Pure Process Technology,
LLC) and stored over 3 Å molecular sieves purchased from Fisher
Scientific and activated prior to use. 2,6-Dimethyl-1,4-hydroquinone
was purchased from TCI America and used as received. 2.5 M n-Butyllithium in hexanes was purchased from Sigma-Aldrich
and used as received. D2O was purchased from Cambridge
Isotope Laboratories and used as received. POV-alkoxide clusters VO, VO, and VO were prepared
according to previously reported procedures.[24,47,48] 2,6-Di-tert-butyl-1,4-hydroquinone,[27] 1,4-hydroquinone,[27] and 5,10-dihydrophenazine[49] were generated
following literature precedent.1H NMR spectra were
recorded at 400 MHz or 500 MHz on a Bruker DPX-400 or Bruker DPX-500
spectrometer, respectively, locked on the signal of deuterated solvents.
All chemical shifts were reported relative to the peak of the residual
H signal in deuterated solvents. CD3CN was purchased from
Cambridge Isotope Laboratories, degassed by three freeze–pump–thaw
cycles, and stored over fully activated 3 Å molecular sieves.Single crystals of [Bu4N][V6O6(MeCN)(OCH3)12] (VO) and [V6O6(MeCN)(OCH3)12][OTf] (VO) were mounted on the tip of a thin glass optical
fiber (goniometer head) and on an XtaLab Synergy-S Dualflex diffractometer
equipped with a HyPix-6000HE HPC area detector for data collection
at 100.00(10)–192.99(10) K, respectively. The structures were
solved using SHELXT-2018/2[50] and refined
using SHELXL-2018/3.[51]
Synthesis of [Bu4N][V6O6(OCH3)12(MeCN)] (VO)
A 20 mL scintillation
vial was charged with VO (0.056 g, 0.055 mmol), a stir bar, and 6 mL of MeCN. In a separate
vial, 1 equiv of 5,10-dihydrophenazine (0.010 g, 0.055 mmol) was dissolved
in 4 mL of MeCN. The second solution was added dropwise to the cluster
solution with vigorous stirring. The reaction solution was stirred
for 1 h, over which time the color changed from green to red-brown.
Next, solvents were removed under reduced pressure, leaving a brown-red
residue. The crude reaction mixture was washed with n-pentane (3 × 10 mL) and then once with 10 mL of diethyl ether.
The remaining solid was extracted in MeCN and dried in vacuo to yield [Bu4N][V6O6(MeCN)(OCH3)12] VO (0.055 g, 0.052 mmol, 95%). Crystals
suitable for analysis via 1H NMR spectroscopy were produced
by slow evaporation of the extraction solution. Formation and purity
of VO were confirmed by 1H NMR spectroscopy; paramagnetically shifted and broadened
resonances consistent with those reported previously by our research
group were observed.[28]
Synthesis
of [V6O6(OCH3)12(MeCN)]
(VO)
A 20
mL scintillation vial was charged with VO (0.053 g, 0.067 mmol), a stir bar, and 6 mL of MeCN. In a separate
vial, 1 equiv of hydrazobenzene (0.012 g, 0.067 mmol) was dissolved
in 4 mL of MeCN. The second solution was added dropwise to the cluster
solution with vigorous stirring. The reaction solution was stirred
for 1 h, over which time the color changed from green to brown, and
then it was dried in vacuo. The crude mixture was
washed with n-pentane (3 × 10 mL) and then once
with 10 mL of diethyl ether. The remaining solid was extracted in
MeCN and dried in vacuo to yield VO (0.042 g, 0.052 mmol, 77%). Formation and purity of VO were confirmed by 1H NMR
spectroscopy; paramagnetically shifted and broadened resonances consistent
with those reported previously by our research group were observed.[29]
Synthesis of [V6O6(OCH3)12(MeCN)][OTf] (VO)
A 20 mL scintillation vial was charged with VO (0.053 g, 0.057 mmol) with a stir
bar and dissolved in 6 mL
of MeCN. In a separate vial, 1 equiv of 2,6-di-tert-butyl-1,4-hydroquinone (0.013 g, 0.057) was dissolved in 4 mL of
MeCN. Both solutions were frozen in a liquid N2-chilled
cold well. Both vials were removed from the cold well, and while thawing
and stirring, one-third of the HAT reagent solution was added to the
cluster containing vial, stirred until fully thawed, and returned
to the cold well. This was repeated two times, until all of the HAT
reagent had been added to the cluster solution. This solution was
stirred for 1 h, after which time solvents were removed under reduced
pressure. Subsequently, the product was dissolved in 1 mL of THF with
1 drop of MeCN and crystallized by slow evaporation of pentane into
the THF solution to yield [V6O6(OCH3)12(MeCN)][OTf]·THF (VO). Drying of the crystals in vacuo removed
the cocrystallized THF for elemental analysis. 1H NMR (500
MHz, CD3CN): δ = 21.36, 13.71, −11.81 ppm.
Elemental analysis for C15H39NO21SF3V6 (MW: 964.17 g/mol) Calc’d (%):
C, 18.69; H, 4.08; N, 1.45. Found (%): C, 18.747; H, 3.861; N, 1.349.
General Procedure for Time-Point Analysis of H-Atom Abstraction
Reactivity of POV-Alkoxides with Organic H-Atom Donors
A
J. Young tube was charged with a sample of POV-alkoxide cluster (∼0.030
g) dissolved in ∼0.5 mL CD3CN. The solution was
frozen in the tube in a cold well cooled with liquid N2. In a vial, 0.5 or 1 equiv of organic H-atom donor was dissolved
in ∼0.5 mL of CD3CN. Once the cluster solution was
frozen, the H-atom donor solution was added to the J. Young tube and
frozen in the cold well. When the solutions were frozen solid, the
tube was sealed, quickly removed from the glovebox, and stored over
dry ice before analysis. When ready for analysis, the solution was
thawed and inserted into an NMR spectrometer. Subsequent analysis
of reaction progress was performed at regular intervals at 25 °C
until the spectrum ceased to evolve.
General Procedure for Performing
Pseudo-First-Order Reaction
Kinetics
Pseudo-first-order reaction conditions were used
to establish the rate expression for the reaction between the POV-alkoxide
cluster, [V6O7] (where n = 1–, 0) and a H-atom transfer
reagent, 5,10-dihydrophenazine or hydrazobenzene. To determine the
order of each reactant with respect to the rate expression, the initial
rate of the reaction was measured using 1H NMR spectroscopy,
where the concentration of the product cluster, [V6O6], can be measured over time.
To find the order with respect to the cluster, a 0.4 mL sample of
acetonitrile-d3 (CD3CN) containing
6.25 mM of the desired HAT reagent and 2.5 mM hexamethyldisiloxane
(HMDS) as an internal standard was prepared in a J-Young tube. The
sample was then frozen using liquid nitrogen, and an aliquot of a
stock solution of CD3CN containing the cluster (5 mM stock
solution) was added and kept frozen. If needed, additional CD3CN was then added to reach a final volume of 0.5 mL. Once
frozen, the sample was quickly transferred to the spectrometer set
to the desired temperature. A 1H NMR spectrum was then
collected every 10 s for 8 min to collect the initial rate of reaction.
Once completed, the reaction was repeated using a different concentration
of [V6O7].To establish the order with respect to the HAT reagent, a 0.4 mL
sample of CD3CN containing 6.25 mM cluster and 2.5 mM HMDS
as an internal standard was prepared in a J-Young tube. The sample
was then frozen using liquid nitrogen, and an aliquot of a stock solution
of CD3CN containing the HAT reagent (5 mM stock solution)
was added and kept frozen. If needed, additional CD3CN
was then added to reach a final volume of 0.5 mL. Once frozen, the
sample was quickly transferred to the spectrometer set to the desired
temperature. A 1H NMR spectrum was then collected every
10 s for 8 min to collect the initial rate of reaction. Once completed,
the experiment was repeated with a different volume of the HAT reagent
stock solution.
General Procedure for Establishing Pseudo-First-Order
Rate Constants
for the Reduction [V6O7] by HAT
Rate constants were determined using kinetic
data obtained by measuring the initial rate of formation for the product
cluster, [V6O6], over a range of concentrations of the H-atom transfer reagent (HAT).
The general rate law for the reaction between the POV-alkoxide cluster
[V6O7] (where n = 1–, 0) and a H-atom transfer reagent (5,10-dihydrophenazine
or hydrazobenzene) can be seen in eq . To compare the rate constants between different oxidation
states of the cluster, pseudo-first-order reaction conditions were
used, in which the concentration of the cluster was held in excess
compared to that of the HAT reagent. As a result of these conditions,
the rate law can be simplified to eq where [HAT] represents the initial
concentration
of the H-atom transfer reagent. Plotting the natural log of the initial
rate of reaction vs the natural log of the concentration of the HAT
reagent (eq ) allows
for the pseudo-first-order rate constant to be determined. The observed
rate constant can be extracted from the y-intercept
of this plot. From the slope of this graph, we can determine the order
with respect to the HAT reagent to be 1, indicating that the units
of the observed rate constant are s–1.
General Procedure
for Determining Activation Energy for the
Reduction of [V6O7] by HAT
Activation parameters were determined using kinetic
data obtained by measuring the initial rate of formation of the product
cluster, [V6O6], over a range of temperatures. Pseudo-first-order reaction conditions
were utilized to simplify determining the observed rate constants
for each temperature, where the concentration of the cluster was held
in excess over the HAT reagent. From the results collected in the
variable temperature experiments, the activation parameters are able
to be established using the linear form of the Eyring–Polanyi
equation shown in eq where T is the temperature,
ΔH‡ is the enthalpy of activation,
ΔS‡ is the entropy of activation, R is the universal gas constant (R = 1.987x–3 kcal K–1 mol–1), kB is the Boltzmann constant, and h is Planck’s constant. Plotting ln(kobs/T) vs 1/T gives
a plot with a linear best-fit line, from which the enthalpy of activation
can be found by slope = −ΔH‡/R. In addition, the entropy of activation can be
found from the y-intercept, where y-intercept = ln(kB/h) + ΔS‡/R. From these parameters,
the activation free energy can be determined at the desired temperature
using eq .
Synthesis
of d2-5,10-Dihydrophenazine
A
50 mL round-bottom Schlenk flask was charged with 5,10-dihydrophenazine
(0.213 g, 1.17 mmol) and 10 mL of tetrahydrofuran (THF). A solution
of 2.5 M n-butyllithium in hexanes (0.95 mL, 2.37
mmol) was added dropwise with stirring, where a yellow solid quickly
precipitated out of solution. The reaction was stirred at room temperature
for 18 h. Volatiles were removed under vacuum, leaving a yellow solid.
The reaction vessel was then cooled to 0 °C in an ice bath, whereupon
D2O (10 mL) was added under a nitrogen flow to give a white
precipitate. The reaction was stirred at room temperature for 2 h.
The solvent was then removed under vacuum to yield a white solid.
The product was extracted with THF (15 mL) and concentrated down to
0.5 mL. Vapor diffusion of pentane into the THF solution affords white,
flaky crystals of d2-5,10-dihydrophenazine
(0.063 g, 0.34 mmol, 29%). 1H NMR of the crystallized product
reveals 92.5% deuteration of the product. 1H NMR (400 MHz,
CD3CN) d = 6.12 (m, 4H), 6.39 (m, 4H).