Abstract
A diverse set of 2e−/2H+ reactions are described that interconvert [RuII(bpy)(en*)2]2+ and [RuIV(bpy)(en-H*)2]2+ (bpy = 2,2’-bipyridine, en* = H2NCMe2CMe2NH2, en*-H = H2NCMe2CMe2NH−), forming or cleaving different O-H, N-H, S-H and C-H bonds. The reactions involve quinones, hydrazines, thiols and 1,3-cyclohexadiene. These proton-coupled electron transfer (PCET) reactions occur without substrate binding to the ruthenium center, but with precursor complex formation by hydrogen bonding. The free energies of the reactions vary over more than 90 kcal mol−1, but the rates vary more with the kind of X–H bond involved than with this ∆G°. There is a kinetic preference for substrates that have the transferring H’s in close proximity, such as ortho-tetrachlorobenzoquinone over its para isomer and 1,3-cyclohexadiene over its 1,4-isomer, perhaps hinting at the potential for concerted 2e−/2H+ transfers.
Keywords: multieletron, multiproton, proton-coupled electron transfer (PCET), ruthenium, amido
TOC image
2e−/2H+ Transfer Reactions: Multi-electron redox chemistry is central to many catalytic and energy storage processes. A variety of 2e−/2H+ reactions are reported, with substrates that have or form two O–H, N–H, S–H or C–H bonds. The reactions interconvert ruthenium(II)-bis(amine) and ruthenium(IV)-bis(amido) complexes.

Many important redox reactions involve transfer of multiple electrons and multiple protons. Examples of such proton-coupled electron transfer (PCET) reactions in chemical energy, organic chemistry and biochemistry include the interconversions of O2 and water, N2 and ammonia, alkenes and alkanes, and quinones and hydroquinones. The study of PCET reactions is a diverse and rapidly growing field,1–7 yet almost all of the well-characterized examples studied in detail involve the transfer of a single electron and a single proton (sequentially or in a single step). The transfer of two electrons and two protons together would often be very advantageous, bypassing high energy intermediates. Reported here is an exploration of net 2e−/2H+ redox reactions that interconvert a RuII amine complex [RuII(bpy)(en*)2]2+ (RuII) and a RuIV bis(amido) complex [RuIV(bpy)(en*-H)2]2+ (RuIV), where bpy = 2,2’-bipyridine, en* = 2,3-dimethyl-2,3-butanediamine, and en*-H = 2,3-dimethyl-2-amido-3-aminobutane(1-).
The RuII and RuIV complexes were first reported by Che et al.,8 including spectroscopic characterization, the X-ray crystal structure of RuIV, and the aqueous electrochemistry. The rich optical and 1H NMR spectra of these compounds, their electrochemical 2e−/2H+ interconversion in aqueous pH 2–7, and their stability make this a valuable system for the study of multielectron PCET. Since the ruthenium centers are substitution inert and the substrates are therefore very unlikely to coordinate to the metal, the PCET chemistry occurs in an outer-sphere sense, directly to the amine ligand. The RuIV/RuII couple is particularly attractive because the two reactive N atoms have a cis orientation, and RuIV/RuII interconversion does not involve a change in the inner coordination sphere of the complexes. The RuIV/RuII system thus in some ways resembles the 2e−/2H+ donor N2H2 (HN=NH, diazene), which is known to do symmetrical concerted transfers of two hydrogen atoms (2e−/2H+) to C–C π bonds.9 The most common concerted multi-electron PCET processes are hydride transfers (2e−/1H+).10 There is debate over whether Noyori-type ketone/alcohol interconversions that occur by concerted H−/H+ transfers.11 Noyori systems are among the ruthenium-amido complexes that have been explored for multi-redox chemistry and catalysis.12
Our initial studies focused on quinones and hydroquinones as prototypical 2e−/2H+ couples. RuII reacted with one equivalent of ortho-tetrachloroquinone in acetone, acetonitrile or thf to quantitatively form RuIV and the corresponding hydroquinone within minutes at room temperature (eq 1). The para-tetrachloroquinone isomer reacted to form an equilibrium mixture with RuIV and the hydroquinone (eq 2). Remarkably, the reaction of the p-isomer is ca. 2000–3000 times slower, requiring a few hours. These and the other reactions reported here were monitored by 1H NMR and UV-vis spectroscopies, and by mass spectrometry (see ESI). Reactions with other quinones or hydroquinones proceeded similarly, by oxidation of RuII, reduction of RuIV, or formation of an equilibrium mixture, as summarized in Table 1 (and Table S1 in the ESI). With p-benzoquinone in acetone, for instance, equilibrium was obtained after 2 weeks with Keq = 4.6 (∆G° = −0.90 kcal/mol; ∆E° = 0.019 V, Figure 1).
![]() |
(1) |
![]() |
(2) |
Table 1.
Reaction Summary and Aqueous Thermochemistry.[a]
| 2e−/2H+ Redox Couple | (E°)[b] | RuII ⇄ RuIV | ΔG°react[c] |
|---|---|---|---|
| Oxidations of RuII | |||
| H2O2+ 2e−/2H+ ⇄ 2H2O | (1.78) | ✓ | −47.8 |
| o-Cl4BQ + 2e−/2H+ ⇄ o-Cl4H2Q | (0.79) | ✓ | −2.3 |
| p-Cl4BQ + 2e−/2H+ ⇄ p-Cl4H2Q | (0.76) | Keq = 16 | −0.9 |
| p-BQ + 2e−/2H+ ⇄ H2Q | (0.70) | Keq = 4.6 | +2.0 |
|
| |||
| RuIV + 2e−/2H+ → RuII (0.74)[d] | – | – | |
|
| |||
| Reductions of RuIV | |||
| 2,3-naphthoquinone + 2e−/2H+ ⇄ naphthalene-2,3-diol | (0.81) | NR[e] | −3.2 |
| o-BQ + 2e−/2H+ ⇄ catechol | (0.783) | NR[e] | −2.0 |
| O2 + 2e−/2H+ ⇄ H2O2 | (0.69) | NR | 2.3 |
| p-3,5-tBu2BQ + 2e−/2H+ ⇄ p-3,5-tBu2HQ | (0.58) | Keq = 0.08 | 7.4 |
| 1,2-naphthoquinone + 2e−/2H+ ⇄ 1,2-naphthohydroquinone | (0.579) | Keq ≈ 0.001 | 7.4 |
| TEMPO• + 1e−/1H+ ⇄ TEMPOH | ✓ | 7.2 | |
| N2H2 + 2H+/2e− ⇄ N2H4 | (0.54) | ✓ | 9.2 |
| N2 + 4H+/4e− ⇄ N2H4 | (–0.33) | 49.3 | |
| S + 2e−/2H+ ⇄ H2S | (0.14) | ✓ | 27.6 |
| 2H+ + 2e− ⇄ H2 | (0) | NR | 34.1 |
| C6H6 + 2e−/2H+ ⇄ 1,3-C6H8 | ✓[f] | 48.6 | |
| C6H6 + 2e−/2H+ ⇄ 1,4-C6H8 | NR | 48.6 | |
Oxidations and reductions in various solvents at ca. 20 C; see ESI. Reacting couples written as reductions but reactions in the bottom half of the table proceed from right to left. BQ = benzoquinone; H2Q = hydroquinone.
Aqueous E° in V vs. SHE; references in the ESI.
∆G° for the aqueous reaction of X + RuII → RuIV + XH2, in kcal/mol, from –nFE° or from BDFEs.
Ref.8.
There is no reaction of the diol with RuIV, as predicted by the aqueous ∆G°; the o-quinone forms of these couples are unstable and their reactions could not be studied.
4 d at 100 C.
Figure 1.

1H NMR spectra of the reaction of RuII and p-benzoquinone in acetone-d6 at room temperature: a) initial; b) after 6 d.
Other reactions that involve formation or cleavage of O–H bonds are the oxidations of RuII to RuIV by hydrogen peroxide or meta-chloroperbenzoic acid (mCPBA), yielding water and (in the latter case) m-chlorobenzoic acid. With O2, however, the rate of oxidation is almost undetectable at ambient temperatures. The hydroxylamine TEMPO-H (2,2,5,5-tetramethyl-N-hydroxy-piperi-dine) reduced RuIV to RuII over hours in acetone with some decomposition.
The free energies of these reactions (∆G°react) in acetone or thf can be in large part understood by comparison with the known thermochemistry in aqueous media. Extrapolating Che’s aqueous electrochemical results to pH 0 and converting to SHE gives the 2e−/2H+ RuIV/RuII reduction potential E° = 0.74 V.8 This is quite close to the well-known 2e−/2H+ aqueous potential for p-benzoquinone/p-hydroquinone, E° = 0.70 V.13 The ∆E°aq = –0.040 V is only 60 mV different from the value in acetone, equivalent to a difference of 2.7 kcal/mol in ∆G° (= nFE°, n = 2). Alternatively, some of the ∆G°react values are more easily analyzed using X–H bond dissociation free energies (BDFE). TEMPO-H, for instance, is a good reductant because it has a low O–H BDFE of 71.0 kcal/mol in aqueous solution.5 The ∆G° for XH → X + H• is thermodynamically equivalent to XH → X + e− + H+ when the electrochemical reference is SHE).5 The aqueous RuIV/RuII 2e−/2H+ reduction potential of +0.74 V8 corresponds to average aqueous N–H BDFEs in RuII of 74.6 kcal/mol. Therefore, the transfer of two H atoms from TEMPO–H to RuIV is downhill by ∆G° = −7.2 kcal mol−1 (typical uncertainties in BDFEs ~1 kcal/mol).
Table 1 shows that the overall reactivity of the RuIV/RuII couple, for the O–H reactions above and other processes presented below, is typically well predicted by the ∆G°react values. This is true even when using aqueous electrochemical potentials for reactions in acetone solvent, illustrating the general pattern that thermodynamic solvent effects are typically small when equal numbers of e− and H+ are transferred. BDFEs, for instance, are known to vary only small amounts with solvent.5 This is because ne−/nH+ (nH•) reactions do not involve change the charge of the reagents, so the difference between the solvation energies of the reactants and products are not large.5 Therefore, comparisons between PCET systems in different conditions are better done with BDFE or ∆G°react values rather than individual E° or pKa values. For instance, this principle should facilitate comparisons of aqueous enzymatic PCET processes with model systems in organic solvents.
This thermochemical framework is often predictive for reactions of other X–H bonds. S–H bonds are weak and therefore thiols rapidly reduce RuIV to RuII. Benzenethiol and 1,2-benzenedithiol are converted to the dimers PhSSPh or C6H4(SS)2C6H4, respectively, along with some polymeric products. Bubbling H2S through a solution of RuIV in acetone immediately leads to precipitation of elemental sulfur.
Hydrazine, methylhydrazine, 1,1-dimethylhydrazine, phenylhydrazine and 1,2-diphenylhydrazine all have weak N–H bonds and all reduced RuIV to RuII in THF-d8. Most of these proceeded at ambient temperatures over hours or days, though the PhNHNHPh reaction requires heating to form azobenzene and a small amount of PhNH2. PhNHNH2 and CH3NHNH2 make sub-stoichiometric amounts of benzene and methane, respectively, the products expected from unstable RN=NH intermediates.
Only substrate with weak C–H bonds was observed to undergo C–H bond oxidation. RuIV oxidized 1,3-cyclohexadiene over 4 days at 100 °C in acetone-d6 a closed J. Young NMR tube, giving 30–50% RuII and somewhat lower yields of benzene. The formation of RuII was confirmed by both NMR and mass spectrometry. In contrast, heating similar solutions of 1,4-cyclohexadiene, dihydroanthracene and dihydrophenanthrene showed no conversion to RuII or oxidized organic products, only slow decomposition at high temperatures. Similarly, all attempts to reduce RuIV with H2, under a variety of different conditions, did not form any RuII. This is despite the reaction being quite exoergic, ∆G°react = −34 kcal/mol.
Overall, these 2e−/2H+ reactions typically occur at ambient temperatures in the direction indicated by the aqueous thermochemistry (Table 1). The speed of the reactions, however, does not parallel the thermochemistry. The reactions of H2 and the C–H bond substrates are very exoergic (in one direction or the other), yet only the 1,3-cyclohexadiene reaction (days at 100 C) is observed to occur faster than decomposition. While a full mechanistic study of any of the reactions is beyond the scope of this report, a few initial kinetic studies are presented in the Supporting Information. The reduction of RuIV by excess hydrazine appeared to follow simple second-order kinetics, but the oxidation of RuII by excess H2O2 in buffered water displayed kinetics apparently zero-order in [RuII], even when done in the presence of EDTA or picolinic acid to chelate trace iron (Figures S25-S28). Despite this complexity, some conclusions can be drawn. The faster oxidation of RuII by H2O2 vs. O2 is quite unusual for RuII amine complexes, which typically undergo outersphere electron transfer to O2.14,15 This pathway is less favorable for RuII due to its unusually positive RuIII/II 1e− reduction potential.16
Many of these reactions are marked by rapid formation of an intermediate, in which the 1H NMR signals for the NH groups of the ruthenium compounds are shifted and/or split. In Figure 1, for instance, the blue arrows indicate the shifts of the N-H signals of RuII and the breaking of their accidental degeneracy in the presence of hydroquinone (see also Figure S23). Similar NMR shifts are observed for N-H bonds in both RuII or RuIV in the hydrazine reactions (Figure S14). Shifts have also been observed in UV-vis spectra, such as the LMCT band of RuIV in CH3CN at 20 °C in the presence of hydrazine (Figure S19). These spectral changes are most likely due to the formation of hydrogen-bonded adducts between the Ru complexes and the reagents, which presumably serve as precursor complexes on the pathway for their respective reaction.
The lower reactivity of H2 and the C–H bond substrates is likely due in part to their inability to form hydrogen bonds with the Ru complexes, destabilizing the precursor complexes. The reactions are also quite sensitive to steric effects, for instance in the much lower reaction rate of PhNHNHPh vs. PhNHNH2. This is likely also due to destabilization of the precursor complex as well as the transition state. The sensitivity to steric crowding is not surprising since each of the reactive nitrogen atoms is bound to both a poly-coordinated Ru center and to a tertiary alkyl group.
The hydrazine reduction of RuIV could be slow because it may have to proceed via diazene, N2H2, a high energy intermediate. Based on the aqueous potentials ∆G°react to form diazaene is only −9.2 kcal/mol while the reaction to form N2 is very exoergic, −48.4 kcal/mol (Table 1).
Whether any of these reactions occur by one-step (concerted) 2e−/2H+ mechanisms will require addition study. Studies of Nyori- and Shvo-type catalysis have shown that this is a challenging question to address convincingly.11,18 Still, it is clear that the reactions above proceed more readily when the two transferring hydrogen atoms are nearby. Ortho-tetrachloroquinone reacts substantially faster than its para-substituted isomer, even more than would be expected from its somewhat higher driving force. The vicinal hydrogens in 1,3-cyclohexadiene are more reactive than the more separated H’s in the 1,4-isomer, where driving force is essentially the same.
In sum, a wide range of 2e−/2H+ transfer reactions have been discovered using a Ru(II)-bis(amine)/Ru(IV)-bis(amido) couple, including oxidations and reductions and spanning over 90 kcal/mol in ∆G°react. The ∆G°react is well estimated by aqueous reduction potentials or BDFEs, as the solvent effects on the 2e−/2H+ transfer thermodynamics are small. The speed of reactions varies with the nature of the X–H bonds involved, roughly S–H > O–H ≥ N–H ≫ C–H, but does not parallel the ∆G° of reaction. NMR and optical spectra suggest the formation of hydrogen bonded adducts for many of the O-, S- and N-containing substrates, which is suggested to be part of the reason for their faster reactions. A strong kinetic preference is seen when the transferring H’s are in close proximity, for ortho-tetrachlorobenzoquinone over its para isomer and 1,3-cyclohexadiene over its 1,4-isomer. Future mechanistic studies will explore whether this proximity effect is an indication that concerted 2e−/2H+ processes are possible in this or related systems.
Experimental Section
Preparations and purifications of materials, and representative spectra of reactions are given in the ESI. Reactions were typically conducted anaerobically with a 10-fold excess of substrate, in THF-d8 or acetone-d6, in J. Young NMR tubes, and were protected from light.
Supplementary Material
Acknowledgments
We acknowledge the U.S. National Institutes of Health 5R01GM050422 and a Mary Gates Research Scholarship from the University of Washington. We thank Dr. Adam Wu for preliminary studies.
References
- 1.Huynh MHV, Meyer TJ. Chem Rev. 2007;107:5004–5064. doi: 10.1021/cr0500030. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 2.Reece SY, Nocera DG. Annu Rev Biochem. 2009;78:673–699. doi: 10.1146/annurev.biochem.78.080207.092132. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 3.Mayer JM. Acc Chem Res. 2011;44:36–46. doi: 10.1021/ar100093z. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 4.Dempsey JL, Winkler JR, Gray BH. Chem Rev. 2010;110:7024–7039. doi: 10.1021/cr100182b. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 5.Warren JJ, Tronic T, Mayer JM. Chem Rev. 2010;110:6961–7001. doi: 10.1021/cr100085k. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 6.Energy Environ Sci. 2012;5 issue 7 on PCET. [Google Scholar]
- 7.Chem Rev. 2010;110 issue 12 on PCET. [Google Scholar]
- 8.Chiu WH, Peng SM, Che CM. Inorg Chem. 1996;35:3369–3374. doi: 10.1021/ic951145n. [DOI] [PubMed] [Google Scholar]
- 9.a) Stanbury DM. Prog Inorg Chem. 1998;47:511. [Google Scholar]; b) Tang HR, McKee ML, Stanbury DM. J Am Chem Soc. 1995;117:8967. [Google Scholar]
- 10.Lee ISH, Chow KH, Kreevoy M. J Am Chem Soc. 2002;124:7755–7761. doi: 10.1021/ja011855u. [DOI] [PubMed] [Google Scholar]
- 11.Dub PA, Henson NJ, Martin RL, Gordon JC. J Am Chem Soc. 2014;136:3505–3521. doi: 10.1021/ja411374j. [DOI] [PubMed] [Google Scholar]
- 12.a) Abdur-Rashir K, Clapham SE, Hadzovic A, Harvey JN, Lough AJ, Morris RH. J Am Chem Soc. 2002;124:15104–15118. doi: 10.1021/ja016817p. [DOI] [PubMed] [Google Scholar]; b) Gunanatham C, Milstein D. Chem Rev. 2014;114:12024–12087. doi: 10.1021/cr5002782. [DOI] [PubMed] [Google Scholar]
- 13.For thermochemical references, see ESI.
- 14.a) Diamond SE, Mares F, Tovrog BS. Unites States Patent. 1980:4207305. [Google Scholar]; b) Pladziewicz JR, Meyer TJ, Broomhead JA, Taube H. Inorg Chem. 1973;12:639. [Google Scholar]
- 15.Stanbury DM, Haas O, Taube H. Inorg Chem. 1980;19:518. [Google Scholar]
- 16.The RuIII/II E1/2 in H2O, ~+0.41 vs. SCE8) implies E° = −0.26 V for the aqueous reaction with O2 (g) (E[O2(g)/O2–•(aq) = −0.37 V).17 Using the correlation of rate with E in reference14, this E(RuIII/II) predicts a half-life for reaction with 1 atm O2 of many days (k ≈ 10−3 M−1s−1, kobs ≈ 10−6 s–1).
- 17.Armstrong DA, Huie RE, Koppenol WH, Lymar SV, Merényi G, Neta P, Ruscic B, Stanbury DM, Steenken S, Wardman P. Pure Appl Chem. 2015;87:1139–1150. [Google Scholar]
- 18.Casey CP, Singer SW, Powell DR, Hayashi RK, Kavana M. J Am Chem Soc. 2001;123:1090–1100. doi: 10.1021/ja002177z. [DOI] [PubMed] [Google Scholar]
Associated Data
This section collects any data citations, data availability statements, or supplementary materials included in this article.

