Electrochemical and Mechanistic Study of Superoxide Scavenging by Pyrogallol in N,N-Dimethylformamide through Proton-Coupled Electron Transfer

Abstract

Scavenging of electrogenerated superoxide radical anion (O₂^•−) by pyrogallol (PyH₃) was investigated on the basis of cyclic voltammetry and in situ electrolytic electron spin resonance spectrum in N,N-dimethylformamide with the aid of density functional theory (DFT) calculations. Quasi-reversible dioxygen/O₂^•− redox couple was modified by the presence of PyH₃, suggesting that O₂^•− was scavenged by PyH₃ through proton-coupled electron transfer (PCET) involving two proton transfer and one electron transfer. DFT calculation suggested that the pre-reactive formation of a hydrogen-bond (HB) complex and the subsequent concerted two-proton-coupled electron transfer characterized by catechol moiety in PyH₃ is plausible mechanism that embodies the superior kinetics of the O₂^•− scavenging by PyH₃ as shown in the electrochemical results. Furthermore, it was clarified that the three hydroxyl groups of PyH₃ promote the formation of HB complex, in comparative analyses using related compounds, resulting in the promotion of the O₂^•− scavenging.

1. Introduction

Benzene-1,2,3-triol (pyrogallol, PyH₃) is one of the most sensitive organic compounds toward oxygen and causes autoxidation [1,2,3,4,5,6]. Its characteristic structure, based on three hydroxyl (OH) groups substituted onto a benzene ring, constitutes some antioxidants, such as gallocatechin, epigallocatechin gallate, and prodelphinidin (the polymeric tannins composed of gallocatechin). It is well recognized that PyH₃ is a much more efficient antioxidant than benzene-1,2-diol (catechol, CatH₂). Therefore, numerous studies have investigated the antioxidant reaction mechanism with polyphenols containing PyH₃ moiety, experimentally and theoretically [1,5,7,8,9,10]. Three isometric benzenetriols (PyH₃, benzene-1,2,4-triol, and benzene-1,3,5-triol) are differentiated by the position of OH groups. The larger the number of OH groups on phenolic compounds is, the higher the antioxidant properties are, although these isomers show different reactivity depending on their positions of OH groups. Therefore, the antioxidant property of PyH₃ is considered as due to electron donation derived from its π-conjugated quinoid structure, which directly reacts with any reactive oxygen species (ROS) such as superoxide radical anion (O₂^•−), precursor of other ROS, and grand state molecular oxygen (O₂) in the autoxidation. The antioxidant activity of PyH₃ with its autoxidation involves complicated reaction mechanisms, though the mechanism between PyH₃ and O₂ involves two-proton transfer (PT) and two-electron transfer (ET) forming pyrogallol-ortho-quinone (PyH) and hydroperoxide (H₂O₂)_.

Simultaneously, it is well recognized that the autoxidation is promoted in an alkali solution, showing that the primary deprotonation occurs forming corresponding anion (PyH₂⁻) followed by the autoxidation reaction [2,3]. Furthermore, it is considered that forming intermediate peroxiradical (ROS) such as hydroperoxiradical (HO₂^•) followed by a free radical chain reaction is a main mechanism for the net autoxidation. O₂ is a moderately good electrophile that can accept electrons from PyH₃, rather than O₂^•−. However, HO₂^• formed after protonation of O₂^•− as a Brønsted base is a strong oxidant. Thus, the deprotonation and subsequent oxidation, i.e., PT and ET between PyH₃ and oxygen species involving O₂ and ROS, are closely related. Most of the reported papers on the antioxidant activity of PyH₃ are in aqueous solvents [2,3,6,11,12], and even under pH control, many protons are present. Among these papers, antioxidant reactions of PyH₃ involving the autoxidation and ROS scavenging were detected and measured in aqueous media, by increases in O₂ consumption or absorbance changes of the solution. Hence, the antioxidant reactions cannot be estimated separately, because several reactant species, i.e., PyH₃, PyH₂⁻, O₂, O₂^•−, and HO₂^• coexist in the experimental solution. Thus, there are still some uncertain issues to be clarified regarding the antioxidant mechanism with the relationship between PT and ET, although the plausible main mechanism for O₂^•− scavenging by different reactants, PyH₃/PyH₂⁻, are simply denoted in Scheme 1, forming pyrogallol-ortho-quinone radical anion (PyH^•−)/radical dianion (Py^•2−) and H₂O₂.

Nasr et al. reported the electrochemical oxidation of PyH₃ in acidic aqueous solution [12]. In their pioneering work, the voltammetric results showed that PyH₃ oxidation occurs in the same potential region as that of phenol (PhOH). Conversely, the initial deprotonation of PyH₃ forming PyH₂⁻ increases electron density in the benzene ring and consequently increases its reactivity to electrophilic attack. Considering the above, the deprotonation first occurs in an aqueous buffer media, then the oxidation processes occur either directly on the electrode surface or can be mediated by O₂ (autoxidation) and other oxygen species electrogenerated at the anode surface, implying that it is the main pathway for the oxidation of PyH₃ by oxygen species in natural environments such as living body. Several reaction mechanisms for ROS scavenging by phenolic antioxidants such as PyH₃ are known, including the superoxide-facilitated oxidation (SFO) [13,14,15], hydrogen atom transfer (HAT) involving PCET [16,17,18,19,20], and sequential proton-loss electron transfer (SPLET) [21]. In the SFO mechanism, the initial PT from the substrate to O₂^•− to give HO₂^• is followed by rapid dismutation to give H₂O₂ and O₂. Then, the substrate anion is oxidized by the O₂ formed in the dismutation process [15]. Conversely, the other two mechanisms involve direct oxidation by O₂^•−/HO₂^•.

Considering the relationship between the structure of PyH₃ and the mechanism of O₂^•−/HO₂^• scavenging, quinone–hydroquinone π-conjugation is inferred to play a role in a PCET mechanism. In our previous studies, it has been reported that O₂^•−/HO₂^• is scavenged by polyphenols [20], diphenols (hydroquinone [22] and CatH₂ [23]), and monophenols [24,25], through a PCET mechanism. In these studies, a concerted two-proton-coupled electron transfer (2PCET) involving two PTs and one ET is a plausible reaction pathway for CatH₂ moiety based on the energetics and kinetics for successful O₂^•− scavenging. Therefore, CatH₂ moiety comprised in PyH₃ is expected to play through the concerted 2PCET, although the third OH group (3OH) gives a different chemical mechanism of PyH₃ from CatH₂.

In this study, we analyzed the reaction between PyH₃ and electrogenerated O₂^•− comparatively using some related compounds (Figure 1) in dehydrated N,N-dimethylformamide (DMF) by using electrochemistry and density functional theory (DFT) calculation. Accordingly, herein we present a mechanistic insight into PCET for the O₂^•− scavenging reaction by PyH₃ that constitute some highly reactive antioxidants.

2. Materials and Methods

2.1. Chemicals

We obtained PyH₃ (98.0%), MoCatH₂ (99.0%), and CatH₂ (99.0%), from Sigma-Aldrich Inc. (Tokyo, Japan), and purified by repeated sublimation under reduced pressure immediately before use. PhOH (99.5%) was purchased from Tokyo Chemical Industry Co., Ltd. (Tokyo, Japan), at the best available grade and was used as received. Dinitrogen (N₂) gas (99.0%) and O₂ gas (99.0%) were purchased from Medical Sakai Co., Ltd. (Gifu, Japan), and were used as received. The solvent for electrochemical and electron spin resonance (ESR)/ultraviolet-visible (UV-vis) spectral-measurements was spectrograde purity DMF (99.7%) available from Nacalai Tesque Inc. (Kyoto, Japan) and used as received. Tetrapropylammonium perchlorate (TPAP) was prepared as described previously [26] and used as a supporting electrolyte for DMF. Ferrocene (Fc), used as a potential reference compound, was commercially available from Nacalai Tesque Inc. and used as received.

2.2. Electrochemical and In Situ Electrolytic ESR/UV-vis Spectrum Measurements

Cyclic voltammetry was performed using a three-electrode system comprising a 1.0 mm-diameter glassy carbon (GC) working electrode, a coiled platinum (Pt) counter electrode, and a silver/silver nitrate (Ag/AgNO₃) reference electrode (containing acetonitrile solution of 0.1 mol dm⁻³ tetrabutylammonium perchlorate and 0.01 mol dm⁻³ AgNO₃; BAS RE-5) at 25 °C using BAS 100B electrochemical workstation, coupled to BAS electrochemical software to record data (Supplementary Materials, Table S1). In situ electrolytic ESR/UV–vis spectra were measured using a JEOL JES-FA200 X-band spectrometer/an OCEAN HDX spectrometer (OptoSirius Co., Ltd.). The controlled-potential electrolysis was performed at room temperature in an electrochemical ESR cell using a 0.5 mm-diameter straight Pt wire sealed in a glass capillary as a working electrode/an optically transparent thin-layer electrochemical (OTTLE) cell (path length: 1.0 mm) using a Pt mesh working electrode (Supplementary Materials, Figure S1). Samples were prepared in a glove box completely filled with N₂ gas to prevent contamination by moisture. The DMF solution containing 0.1 mol dm⁻³ TPAP as a supporting electrolyte was saturated with O₂ by air-bubbling the gas for ca. 2–3 min and the gas was passed over the solutions during the electrochemical and spectral measurements to maintain the concentration of O₂ at a constant level. The equilibrium concentration of O₂ was calculated as 4.8 × 10⁻³ mol dm⁻³.

2.3. Calculation

All solution phase calculations were performed at the DFT level with the Becke three-parameter Lee–Yang–Parr (B3LYP) hybrid functional as implemented in Gaussian 16 Program package [27]. This functional was chosen because it has been shown to give good geometries of the reactants, products and transition states (TS) in PCET reactions between phenolic compounds and free radicals [28]. Geometry optimization, vibrational frequency calculations, the intrinsic reaction coordinate (IRC) calculations, and population analysis of each compound was performed by employing the standard split-valence triple ζ basis sets augmented by the polarization 3df,2p and diffusion orbitals 6-311+G(3df,2p). The solvent contribution of DMF to the standard Gibbs free energies was computed employing the polarized continuum model (PCM) at the default settings of the Gaussian 16, which is widely employed in the description of the thermodynamic characteristics of solvation. The zero-point energies and thermal correction, together with entropy, were used to convert the internal energies to standard Gibbs energy at 298.15 K. The natural bond orbital (NBO) technique was used for electron and spin calculations in population analysis [29].

3. Results

3.1. Cyclic Voltammetry and ESR Analysis of O₂/O₂^•− in the Presence of PyH₃

In Figure 2, cyclic voltammograms (CV) of saturated O₂ (4.8 × 10⁻³ mol dm⁻³) in the presence of PyH₃ and related compounds (Figure 1a–d) in DMF, and ESR spectra of the CV solutions (b) obtained via in situ electrolytic ESR system are demonstrated. CV and ESR in the presence of (c) CatH₂ and CV in the presence of (d) PhOH, were already reported in our previous paper, though are shown here for comparison [22,24]. In aprotic solvents such as DMF, O₂ shows quasi-reversible redox at −1.284 V vs. the ferrocenium ion/ferrocene (Fc⁺/Fc) couple (Equation (1)) corresponding to generation of O₂^•− in the initial cathodic scan and reoxidation to the starting materials (O₂), in the returned anodic scan (1c/1a, bold lines in Figure 2), where O₂^•− is not particularly reactive toward aprotic DMF. The reversible CVs investigated here were all modified to irreversible one by the presence of any compounds (a–d) with concentration dependency (0 to 3.0, 5.0 × 10⁻³ mol dm⁻³), supported that CVs of bubbled N₂ showed no peak over the potential range. The reactivity of PyH₃ estimated from a loss of reversibility of the CV is higher than the others. Thus, the loss of reversibility in the CVs of O₂/O₂^•− is caused by the acid–base reaction; the initial PT from the compounds to O₂^•− as a Brønsted base forming HO₂^• (Equation (2)).

With the generation of HO₂^•, bielectronic CVs were observed derives from the reduction of HO₂^• to hydroperoxyl anion (HO₂⁻) (Equation (3)) as shown in Figure 2d, cathodic current 2c. Conversely, in the presence of (a) PyH₃, (b) MoCatH₂, and (c) MoCatH₂, the bielectronic CVs do not appear due to the scavenging of HO₂^• by the subsequent ET (Equation (4)) from the deprotonated anion forming its radical (PyH₂⁻/PyH₂^•, MoCatH⁻/MoCatH^•, CatH⁻/CatH^•), where a cathodic prepeak appeared. In our previous study, the ET involved in the PCET mechanism for successful O₂^•− scavenging required two structural characteristics; (1) the quinone–hydroquinone π-conjugated structure characterized by ortho/para-diphenol, and (2) the OH proton for the second PT [20,22,23,24,30].

O₂ + e− ↔ O₂^•− (E^° = −1.284 V vs. Fc⁺/Fc)

(1)

O₂^•− + PyH₃ → HO₂^• + PyH₂⁻ (the initial PT)

(2)

HO₂^• + e⁻ → HO₂⁻ (E^° = −0.4 to −0.2 V vs. Fc⁺/Fc)

(3)

HO₂^• + PyH₂⁻ → HO₂⁻ + PyH₂^• (ET)

(4)

HO₂⁻ + PyH₂^• → H₂O₂ + PyH^•− (the second PT)

(5)

Considering these results, we rationalized that O₂^•− formation after the primary electrode process associated with PT from the OH group leads to the irreversible overall reduction of O₂ to H₂O₂, which is driven by the exergonic reduction of the resulting HO₂^•/HO₂⁻. Therefore, the CV traces for O₂/O₂^•− in the presence of phenolic compounds are divided into two typical curves: type A, an irreversible two-electron process observed in electro–chemical–electro reactions (Equations (1)–(3)), and type B, an irreversible one-electron process (Equations (1), (2), (4), and (5)) leading to O₂^•− scavenging. Figure 3 shows the plausible electrochemical mechanism for O₂/O₂^•− in the presence of (a) PyH₃ and (b) PhOH, summarizing Equations (1)–(5).

In this scenario, the CV results recorded in the presence of (d) PhOH demonstrate type A (O₂^•− is not scavenged) showing the appearance of a cathodic current ascribed HO₂^•. Conversely, each of the CV results in the presence of (a) PyH₃, (b) MoCatH₂, and (c) CatH₂ demonstrate type B (scavenging of O₂^•−/HO₂^•). Then, the O₂^•−/HO₂^• scavenging by (c) CatH₂ was confirmed via in situ electrolytic ESR measurements of the CV solutions at an applied potential of −1.3 V corresponding to the O₂ reduction (Equation (1)) with ESR scanning during 4 min. With reference to (a) PyH₃ and (b) MoCatH₂, ESR shows no signal and the CV shows type B with a large reactivity. The cathodic prepeaks (2c) appearing in Figure 2a–c are inferred to be assigned to reduction of the product radical/dianion (PyH^•−/PyH²⁻, MoCat^•−/MoCat²⁻, Cat^•−/Cat²⁻), although the corresponding anodic peaks are observed only for (c). It is presumed that the ESR spectra for (a, b) were undetectable because the generated PyH^•− and MoCat^•− were further reduced to dianions (PyH²⁻ and MoCat⁻) at the applied potential (−1.3 V) for the electrogeneration of O₂^•−.

Next, in situ electrolytic UV–vis spectra for the CV solution containing PyH₃ (1.0 × 10⁻³ mol dm⁻³) using the OTTLE cell (Supporting Information, Figure S2) were measured in the absence of O₂ under purging N₂ and in the presence of O₂ (Figure 4). The spectrum of PyH₃ alone has a characteristic absorption band centered at 272 nm. Under the applied potential at 1.0 to −2.0 V vs. Fc⁺/Fc without O₂, the spectrum did not change where any potential was applied (data not shown), demonstrating that PyH₃ is not electrolyzed without deprotonation. Conversely, the spectrum has changed in the presence of CH₃ONa (5.0 × 10⁻³ mol dm⁻³) without applying a potential (red line). Since PyH₃ is deprotonated by CH₃ONa as a Brønsted base, the spectrum will be attributed to PyH₂⁻ or PyH²⁻. On the other side, the spectrum of PyH₃ in the presence of saturated O₂ (4.8 × 10⁻³ mol dm⁻³) has changed, showing the appearance of an absorption band centered at 292 nm at applied cathodic potentials over −1.3 V corresponding electrogeneration of O₂^•−.

These spectral changes have demonstrated that the product of homogeneous reaction between PyH₃ and O₂^•− is PyH^•−, and the observed spectrum derives from PyH²⁻ via further 1-electron reduction of PyH^•− at the electrode. By analogy with the CV results, the initial PT (Equation (1)) and the following reactions including ET between HO₂^• and PyH₂⁻ (Equation (4)) rapidly undergo base-catalyzed oxidation. Since PyH^•− would be electrolyzed to PyH₂⁻ at the electrode, the radical product was undetectable using the in situ electrolytic ESR system.

Notably, the CV and spectral results demonstrated that (a) PyH₃ with its two OH groups can scavenge O₂^•− through the PCET involving two PTs and one ET, whereas the role of the 3OH group is unclear. These results imply that the reaction mechanism of (a) PyH₃ is similar to that of (c) CatH₂ (Scheme 1), however their reactivities are different.

3.2. Change in HOMO–LUMO Energies upon PCET between PyH₃ and O₂^•− in DFT Analyses

DFT calculations with the frontier molecular orbital analysis were performed to aid the mechanistic analysis of O₂^•− scavenging by PyH₃ in DMF. Figure 5 shows HOMO–LUMO changes upon PCET between PyH₃/PyH₂⁻ and O₂^•−. After the initial PT, some reactant species, i.e., PyH₃, PyH₂⁻, O₂^•−, and HO₂^•, coexist in the solution. The singly occupied molecular orbital (SOMO) energy (Hartree) for HO₂^• (−0.3142) is much lower than HOMO energies of PyH₃ and PyH₂⁻. Thus, the electron acceptor will be HO₂^•, not O₂^•−. Considering that CV in DMF revealed that HO₂^• formed after the initial PT is scavenged (Figure 2a), the electron donor will be PyH₂⁻, for which the downhill energy relationship is indicated by the bold red line. Thus, this change in HOMO–LUMO (SOMO) energies upon PT between PyH₃ and O₂^•− forming PyH₂⁻ and HO₂^• is reasonable for subsequent ET. Next, the HOMO–LUMO relationship between the products after ET (i.e., PyH₂^•, and HO₂⁻) is reversed, which is rational for orbital energies in the reverse ET (red dotted line). However, the HOMO (−0.2754) of the PT-forming H₂O₂ is lower than HOMO (−0.1648) of HO₂⁻, making the reverse ET improbably. Thus, the subsequent PT is dominant in determining the ET direction.

Alternatively, the HOMO–LUMO relationship for O₂^•− scavenging by PyH₂⁻ preformed by the initial deprotonation indicates that the similar PCET involving two PTs and one ET occurs: the downhill ET (blue bold line) and reverse ET (blue dotted line). As reported previously, 2PCET occurs between CatH₂ moiety and O₂^•− after the formation of the pre-reactive hydrogen-bond (HB) complex from the free reactants (FR), and the proton and electron are concertedly transferred in one kinetic step via a TS forming the product complex (PC) [20,23]. Therefore, it is expected that the 2PCET between PyH₃ and O₂^•− occurs in a similar concerted manner through the HB formed between two OH groups of PyH₃ and O₂^•−.

3.3. Free Energy Calculations of PCET between PyH₃ and O₂^•−

For a mechanistic analysis of the O₂^•− scavenging by PyH₃ in DMF, DFT calculations were performed at the (U)B3LYP/PCM/6-311+G(3df,2p) level. In Figure 6, the equilibrium schemes and standard Gibbs free energy changes (ΔG°/kJ mol⁻¹, 298.15 K) of the six diabatic electronic states for the PCET involving two PTs and one ET between (a) PyH₃ and O₂^•−, and between (b) O₂^•− and PyH₂⁻ formed after the initial deprotonation are shown. The important factors in determining the sequential processes shown in this scheme are the ΔG°s for the individual reactions; the acid–base interaction and redox potentials of the components. In Figure 6a, ET1 (ΔG° = 405.3 kJ mol⁻¹) is strongly endergonic, thus, PT1 (17.9) forming PyH₂⁻ and HO₂^• must primarily occur, as shown in the CV result. In the following pathway shown in the lower rectangle, both PT3 (357.9) and ET2 (28.2) are uphill endergonic, suggesting that the sequential PCET does not proceed but the concerted PCET (−39.5) is a thermodynamically feasible pathway. Alternatively, one-step one-electron transfer concerted with sequential two-proton transfer after initial formation of the HB complexes between PyH₃ and O₂^•− without generating high-energy intermediates, which we refer to as concerted 2PCET reactions, is another feasible pathway [23,28]. For a successful O₂^•− scavenging in either PCET pathway, the second PT coupled to ET is necessary, as reported in our previous studies [25,31]. On the other side, a PCET reaction between PyH₂⁻ and O₂^•− shown in Figure 6b is also plausible, in case that the initial deprotonation of PyH₃ will partially occur in an aprotic DMF solution. Although, since both PT1 (88.5) and ET1 (253.5) are uphill, the only feasible pathway is 2PCET forming quinone-radical-dianion (Py^•2−) as a product of the net reaction involving three PTs and one ET from PyH₃.

For a comparative study, the ΔG° values of the PCET pathways for CatH₂ and MoCatH₂ were calculated (

Table 1. ΔG° values (kJ mol⁻¹, 298.15 K) for PCET between O₂^•− and phenolic compounds (PyH₃, PyH₂⁻, CatH₂, and MoCatH₂) in DMF, calculated using DFT at the (U)B3LYP/PCM/6-311+G(3df,2p) level.

Compounds	PT1	PT2	PT3	PT4	ET1	ET2	ET3	Concerted	Total 1
PyH3	17.9	−359.0	357.9	−67.8	405.3	28.2	−397.5	−39.6	−21.6
PyH2−	88.5	−221.5	454.1	−29.5	253.5	−56.5	−540.1	-	2.4
CatH2	19.4	−364.2	390.6	−78.7	406.8	23.0	−446.3	−55.7	−36.2
MoCatH2	46.0	−335.4	379.5	−92.4	394.8	13.3	−458.6	−79.1	−32.9

¹ Total values involve the sum of ΔG°s for two PTs and one ET.

). From a thermodynamic viewpoint, the total values of ΔG° for the net PCET were obtained from the sum of the values for the two PTs and one ET. If the PCET occurs along a pathway involving the unfeasible single PT/ET (PT1, PT3, ET1, and ET2), the total values cannot embody the energetic driving force because the ΔG° for the unfeasible PT/ET has been summed in it. However, since the concerted PCET (ET2–PT4/PT3–ET3) after the initial PT1 is endergonic for both CatH₂ (−55.7) and MoCatH₂ (−79.1), the total values (−36.2 and −32.9) can embody the exergonic driving force through PT1–concerted PCET pathway, similar to PyH₃ (concerted: −39.6, total: −21.6). Notably, both the ΔG° values (concerted and total) for PyH₃ are larger than those for CatH₂ and MoCatH₂, showing a lower reactivity of PyH₃. The effect of the substituted group of MoCatH₂, PyH₃, and CatH₂, on the O₂^•− scavenging through the PCET is primarily considered to be due to the electron-donating ability (-OCH₃ > -OH > -H) increasing electron density in the benzene ring, known as the Hammett equation [32]. Additionally, the intramolecular HB formed at the 3OH group strongly stabilizes the negatively charged deprotonated species along the PCET; PyH₂⁻, PyH²⁻, and its trianion (Py³⁻), consequently suppressing their reactivities to electrophilic attack. Thus, these ΔG° values confirm that the PCET mechanism in Figure 6a alone cannot explain the reason for the higher reactivity of PyH₃ than the others toward electrogenerated O₂^•− shown in the CVs (Figure 2). As a result of the comparative analyses of the ΔG° values, the involvement of three reaction pathways is plausible for efficient O₂^•− scavenging by PyH₃; PT–concerted PCET and 2PCET between PyH₃ and O₂^•−, and 2PCET between PyH₂⁻ and O₂^•−.

3.4. Potential Energy Surfaces of the PCET between PyH₃ and O₂^•−

For gaining deeper insight into the PCET mechanism for the O₂^•− scavenging by PyH₃ in DMF, potential energy surfaces were investigated at the (U)B3LYP/PCM/6-311+G(3df,2p) level of theory. It is assumed that the reaction involves three elementary steps: (i) formation of the prereactive HB complex (PRC) from the FRs, (ii) reaction to the PC via a TS, and (iii) dissociation of the PC yielding free products (FP). Furthermore, the structural and electronic changes during the reaction were analyzed with the NBO calculations. First, we started with an analysis of potential energy scanning for the stable HB complexes (PRC, intermediate HB complex, and PC) along the PCET reaction (Figure 7a). Then, optimized structures of plausible PRC (PyH₃−O₂^•−) formed from the FRs via two HBs (step i) were obtained, resulting in a lower ΔG° by 81.2 kJ mol⁻¹ (set as zero). Next, an energy profile (ΔG°, kJ mol⁻¹) along the IRC for the 2PCET involving concerted two PTs and one ET forming the PC (PyH^•−–H₂O₂) was obtained (step ii). The IRC shows that a 2PCET occurs between PyH₃ and O₂^•− in one kinetic process via the TS of a low activation energy (E_a) at 53.9 kJ mol⁻¹, without generating any intermediates such as HO₂^•, HO₂⁻, PyH₂⁻, and PyH₂^•.

Figure 7b shows changes in O−H bond distances (OH¹: black line, and OH²: red line) with the number of electrons on the π-orbital of PyH₃ moiety along the IRC (blue circle). Then, spin density distributions localizing the atoms consisting of the radical before and after the TS along the 2PCET are demonstrated, showing that the radical localized on O₂^•− in the initial PRC was transferred to PyH^•− in the resulting PC. Changes in the spins on the electron donor side (PyH₃) and acceptor side (O₂^•−) are in good correlation with the changes in the π-electron of the PyH₃. Furthermore, careful observation of changes in structures and OH¹/OH² in the IRC indicates that the π-electron transfer occurs simultaneously with sequential lengthening of the two O−H bond distances of PyH₃. The first step of the reaction is the attraction of one phenolic proton (H¹) by O₂^•−. This attraction results in nearly complete deprotonation of PyH₃ and transfer of one-half of the π-electron from PyH₃ to O₂^•− in the TS. Movement of the second proton (H²) accelerates the ET from the TS forward and leads to formation of the PC as the resulting reaction system. The results also demonstrate that the electronic state of the TS is characterized by the delocalization of the radical anion over the HB complex of the components.

For a comparative study, potential energy surfaces for the PCET with IRC and TS between O₂^•− and the other compounds—CatH₂, MoCatH₂, and the anion PyH₂⁻—were investigated. Similar 2PCET mechanisms for CatH₂ and MoCatH₂ were obtained without generating intermediates (Supplementary Data, Figures S2 and S3), but was not obtained for PyH₂⁻. Then, the ΔG° values of the complexes (FR, PC, and FP) and the E_a values, for PyH₃, CatH₂, and MoCatH₂ (Geometries of the TS are shown in Supplementary Materials, Tables S3–S5), are listed in

Table 2. ΔG° and E_a values (kJ mol⁻¹, 298.15 K) for 2PCET between O₂^•− and the compounds (PyH₃, CatH₂, and MoCatH₂) in DMF, calculated using DFT at the (U)B3LYP/PCM/6-311+G(3df,2p) level.

Reactants	1 FR	TS (Ea)	PC	FP
PyH3 (+O2•−)	81.2	53.9	−29.4	68.9
CatH2 (+O2•−)	71.6	52.5	−20.9	45.3
MoCatH2 (+O2•−)	61.4	50.7	−28.4	38.5

¹ ΔG° values (kJ mol⁻¹) of PRC were set as a zero point.

. Notably, there is almost no difference in each E_a value (PyH₃: 53.9, CatH₂: 52.5, and MoCatH₂: 50.7), and either of those is as low as the hydrogen-bonding energy. Conversely, there are about 10–20 kJ mol⁻¹ differences between the ΔG° values for forming each of the PRC from the FRs (PyH³: 81.2, CatH₂: 71.6, and MoCatH₂: 61.4). Thus, the ΔG° values for the formation of the PRC from the FRs (step i), rather than the kinetics of the 2PCET reaction to the PC via a TS (step ii), embody the superior O₂^•−-scavenging ability of PyH₃ with a good correlation with the CV results in DMF. Considering the IRC results together with the CV (Figure 2) and the ΔG° results (Figure 6), the 2PCET between O₂^•− and PyH₂⁻ formed after the deprotonation of PyH₃ is not feasible. In an aprotic DMF solution, the initial reaction between PyH₃ and O₂^•− will be the formation of the PRC stabilized at −81.2 kJ mol⁻¹ via two HBs, rather than the initial PT (PT1 in Figure 6a: 17.9 kJ mol⁻¹) or a deprotonation (proton loss in the solution).

Taken together, these findings indicate that the O₂^•− scavenging by PyH₃ in DMF is governed by the concerted 2PCET after forming PRC via two HBs, which corresponds to a moving along the red diagonal line of the two rectangles shown in Figure 6a. In Figure 8, the net mechanism of the O₂^•− scavenging by PyH₃ in DMF is shown. In the 2PCET mechanism, ET occurs between oxygen-π-orbitals orthogonal to the molecular framework, then, PT occurs between oxygen-σ-orbitals along the HBs [23]. It is presumed that the higher reactivity of PyH₃ with O₂^•− than that for CatH₂, is due to the sequential reactions; the initial formation of the PRC, followed by the 2PCET.

4. Conclusions

In conclusion, we have investigated the O₂^•− scavenging by PyH₃ through the PCET in DMF. As a result, we have clarified;

• PyH₃ scavenges O₂^•− through the 2PCET involving concerted two PTs and one ET, in a similar mechanism for CatH₂;
• the net mechanism involves the initial formation of PRC followed by concerted 2PCET;
• the 3OH group thermodynamically promotes the formation of PRC via two HBs but does not promote the latter 2PCET, resulting in an effective O₂^•− scavenging ability of PyH₃.

Although the results presented in this manuscript are for a chemical reaction in aprotic DMF solvent, the PCET theory is adaptable to biological processes in such as a lipid bilayer. Therefore, we hope that the findings obtained in this study will provide evidence for the mechanistic actions of O₂^•− scavenging by various antioxidants involving PyH₃ moiety.