Skip to main content
Redox Report : Communications in Free Radical Research logoLink to Redox Report : Communications in Free Radical Research
. 2013 Nov 15;18(5):205–209. doi: 10.1179/1351000213Y.0000000063

One-electron oxidation of antioxidants: A kinetic-thermodynamic correlation

Laura S Villata 1,, Andrea M Berkovic 1, Mónica C Gonzalez 1, Daniel O Mártire 1
PMCID: PMC6837577  PMID: 24020720

Abstract

The values of the bimolecular rate constants for the reactions of 2,2′-azino-bis(3-ethylbenz-thiazoline-6-sulfonic acid) radical cation with epicatechin (((2.4 ± 0.2)) s−1 M−1), and epigallocatechingallate ((29 ± 5) s−1 M−1) were obtained by spectrophotometric measurements. We propose a correlation between the Gibbs energy ΔGo for the one-electron charge-transfer reactions from several antioxidants to radical species and the rate constants of the corresponding bimolecular reactions. This correlation can be used to predict rate constants of reactions of known ΔGo values.

Keywords: ABTS, Antioxidants, Epicatechin, Epigallocatechingallate, Kinetic-thermodynamic correlation

Introduction

Antioxidants, such as polyphenolic compounds (vitamins E and C and carotenoids) present in fruits, vegetables, tea, and wines are of great interest because of their involvement in mechanisms of defense against oxidizing species generated during aerobic respiration, known as reactive oxygen species.1,2 Several publications have shown the existence of a potential relationship between the intake of antioxidants and the prevention of cardiovascular diseases, cancer, and chronic inflammation.3

In order to evaluate the antioxidant activity of different substances and natural products several methods have been developed, such as those employing Trolox Equivalent Antioxidant Capacity,4,5 Total Radical-Trapping Antioxidant Parameter,6 Ferric Reducing Ability of Plasma,7 and Oxygen Radical Absorbance Capacity.8 These methods are based on charge-transfer processes or on reactions involving an H-atom transfer between the analyzed substrate and a radical.

Most of the methods employed to measure the antioxidant capacity of samples of natural products are based on correlations of changes. For instance, the changes of absorbance in the UV–vis region of different oxidizing species after a certain time of incubation with the antioxidants are compared with those produced by incubation during the same period of time with a reference compound.48 However, kinetic information is lost in these comparisons because the kinetics of the reactions between the radicals and the antioxidants is not always comparable. For instance, the decay of the 2,2′-azino-bis(3-ethylbenz-thiazoline-6-sulfonic acid) (ABTS) radical promoted by quercetin presents two phases, and can be approximately fitted to a biexponential decay of widely different lifetimes (ca. 3 and 200 seconds).9 This behavior closely resembles that described by Pannala et al.10 for flavonoids with a catechol-containing B ring, and can be explained in terms of the presence of two reactive sites of widely different reactivity.

We here extend the study of reactions of the ABTS·+ radical cation with the flavonoids epicatechin (EC) and epigallocatechingallate (EGCG), which also contain catechol groups in ring B, to prove whether these reactions also proceed in two phases.

As mentioned above, the radical species employed for measuring the antioxidant capacity of a sample react with the substrates by different mechanisms. Lien et al.11 found for a large number of phenols a correlation between experimentally determined redox potential at pH 7, a direct measure of the antioxidant property,12,13 and ΔHf, which is the calculated difference of the heats of formation between phenoxyl radicals and the corresponding parent phenols. The ΔHf value is determined by the bond dissociation energy of the O–H bond, which indicates that the tendency to donate an electron and an H-atom are not independent in the case of phenols. This finding and the disadvantage of employing the conventional methods for evaluating antioxidant capacities motivated us to search for a correlation between the rate constants of bimolecular reactions between phenolic substrates with species able to react with them (either by one-electron oxidation or by H-atom abstraction) and the standard Gibbs energy of the corresponding reaction. The use of the standard Gibbs energy of the reaction instead of the redox potential of the substrate was necessary because of the extension of our correlation to different oxidizing species.

Experimental

ABTS, EC, and EGCG (Sigma-Aldrich p.a., Saint Louis, MO, USA), hydrogen peroxide (Merck p.a.), sodium acetate (Merck p.a.), and glacial acetic acid (Merck p.a., Hohenbrunn, Germany) were used as received. Distilled water (>18 MΩ cm, <20 ppb of organic carbon) was obtained from a Millipore system.

The ABTS·+ radical cation was prepared by addition of H2O2 to a buffered (pH = 3.6) solution of sodium acetate. After incubating the solution at room temperature for an hour, the characteristic color of the radical was observed. This reactive species is stable at 4°C for 6 months.14 The same concentration of the colored radical (10 µM) and variable amounts of the polyphenolic compounds in the range from 40 µM to 1 mM were employed.

All the kinetic studies were carried out in triplicate and at room temperature. The experiments performed to study the slow phase of the reaction were performed with a Shimadzu UV-1800 spectrophotometer.

The fast reaction was studied by mixing solutions of ABTS·+ with those of the flavonoids in a Hi-Tech Scientific SFA-20 Rapid Kinetics stopped-flow accessory. The absorbance at 700 nm was measured with a sensitive detection system conventionally used for flash-photolysis experiments.15

Results and discussion

Kinetics of the reaction of ABTS·+ with EC and EGCG

The reaction of ABTS·+ with EC or EGCG was studied by employing different concentrations of the flavonoids at room temperature. Solutions were prepared by mixing the reactants. The absorption spectra of the solutions showed the characteristic bands of ABTS·+ with maxima at 420 and 740 nm.16 A decrease of these bands was observed after mixing. Fig. 1 shows the spectral changes observed for the mixture of ABTS·+ and EGCG.

Figure 1.

Figure 1.

Spectral changes observed for the mixture of ABTS·+ 10 µM and EGCG 0.18 mM. The absorption spectra were taken every 3 minutes from t = 1 minute to t = 64 minutes.

In the presence of both flavonoids the absorbance changes analyzed at 700 nm, close to the second maximum of ABTS·+ show two different processes: a fast decrease of absorbance within a few seconds followed by a slower decrease in a time scale of several minutes. Fig. 2 shows both the faster and slower absorbance changes observed for two different concentrations of EC.

Figure 2.

Figure 2.

Average slow ABTS·+ concentration changes observed in the presence of different amounts of EC 0.33 mM (black circle), 0.77 mM (white circle), and the simulated decays (full line). Inset: Average fast concentration changes for the data shown in the main figure.

The absorbance of ABTS·+ follows a biexponential decay. Due to the relatively high concentration of ABTS·+ necessary for the absorbance measurements, it was not possible to strictly maintain the pseudo first-order conditions during the complete decay of the radical. For that reason kinetic computer simulations were performed with the CKS stochastic program.17 The rate constants of the faster and slower processes, k1 and k2, respectively, were systematically varied until the best coincidence between the experimental and simulated signals was obtained. The simulated decays obtained for two concentrations of EC are also shown in Fig. 2. The values of k1 and k2 are shown in Table 1.

Table 1.

Bimolecular rate constants of oxidation of ABTS·+ with EC and EGCG

  k1/M−1 s−1 k2/M−1 s−1
EC 12 000 ± 50 150 ± 10
ECG 13 000 ± 60 160 ± 10

The error bars represent standard deviations.

The biexponential decay of ABTS·+ radical in the presence of EC or EGCG observed here is in line with the data reported by Pannala et al.,10 although these authors do not report the bimolecular rate constants of both processes. The mechanism, which accounts for the biexponential behavior, is a consecutive one with a first step involving the donation of a single electron from the flavonoid to the radical cation leading to the formation of a semiquinone. This species can donate a further electron to yield a quinone, as proposed by these authors.

Correlation between the rate constants for the reactions between phenolic compounds and one-electron oxidants with the reaction Gibbs energy

For the purpose of finding a relationship between kinetic parameters and antioxidant properties of phenolic compounds, the bimolecular rate constants of the reactions between phenolic compounds and one-electron oxidants were correlated with the corresponding Gibbs energy. Most rate constants were obtained from the literature18,19 and the values measured in this paper were also included. Table 2 shows the rate constants, as well as the difference in redox potentials (Δɛ)20 and Gibbs energy (ΔGo).

Table 2.

Room-temperature bimolecular rate constants of oxidation of the flavonoids with oxidants, the difference in redox (Δɛ) potentials, and Gibbs energy (ΔG)

EC ɛo/V = 0.5700   k × 10−9 M−1 s−1 Δɛo/V§ ΔGo × 10−23/eV§
NO2· 0.090* 0.4300 −2.5893
CO3·− 0.560* 0.7300 −4.3958
N3· 4.00* 1.0400 −6.2625
OH· 6.4* 1.3300 −8.0087
H2PO4· 0.780† 1.4800 −8.9120
SO4·− 1.460† 1.8600 −1.1200
Br2.− 0.090* 1.0500 −6.3227
O2·− 4.7926 × 10−4* 0.2950 −1.7764
ABTS·+ 1.50 × 10−7 0.0900 −5.4194
ECG ɛο/V = 0.5500 N3· 4.70* 1.0600 −6.3829
OH· 5.80* 1.3500 −8.1292
H2PO4· 0.850† 1.5000 −9.0324
SO4·− 1.20† 1.8800 −1.1321
O2·− 4.29 × 10−4* 0.3150 −1.8968
EGCG ɛο/V = 0.4300 OH· 7.10* 1.4700 −8.8518
N3· 4.80* 1.1800 −7.1055
SO4·− 1.040† 2.0000 −1.2043
NO2· 0.120* 0.5700 −3.4323
CO3·− 0.660* 0.8700 −5.2388
(SCN)2·− 0.420* 0.6700 −4.0345
H2PO4· 0.680† 1.6200 −9.7550
O2·− 6.60 × 10−4* 0.4350 −2.6194
ABTS·+ 1.60 × 10−7 0.2300 −1.3850
(SCN)2·− 0.218* 0.6200 −3.7334
trolox C ɛο/V = 0.4800 Br2·− 0.600* 1.1400 −6.8646
N3· 0.500* 1.1300 −6.8044
HO2· 1.9879 × 10−4* 0.3100 −1.8667
1,4-Dihydroquinone ɛο/V = 0.4590 ClO2 3.90 × 10−5* 0.9500 −5.7205
SCN)2·− 0.0600* 1.1000 −6.6238
SO5·− 2.70 × 10−3* 1.1000 −6.6238
I 6.40* 1.2700 −7.6474
N3· 4.00* 1.6100 −9.6948
BrO2·− 0.270* 1.3300 −8.0087
Br2·− 0.100* 1.6200 −9.7550
OH· 20.0* 1.9000 −1.1441
Cl2·− 1.00* 2.3000 −1.3850
HO2· 4.70 × 10−5* 0.7900 −4.7571
1,2-Dihydroquinone ɛο/V = 0.5310 SO5·− 2.70 × 10−3* 1.1000 −6.6238
N3· 4.00* 1.6100 −9.6948
OH· 11.0* 1.9000 −1.1441
HO2· 5.00 × 10−6* 0.7900 −4.7571
1,3-Dihydroquinone ɛο/V = 0.8100 SO5·− 1.00 × 10−3* 0.9500 −5.7205
I 0.130* 1.1000 −6.6238
N3· 1.00* 1.2700 −7.6474
Br2·− 0.170* 1.6100 −9.6948
OH· 12.0* 1.6200 −9.7550

All data correspond to undissociated phenols.

*Data from NDRL-NIST solution kinetics database.18

†Data from Villata et al.19

‡This work.

§Data from Wardman20.

As already mentioned, these reactions can proceed either by electron transfer or H-abstractions. However, Table 2 also includes data for azide radical reactions, which are known to take place by electron transfer.21 For the reactions of the phenols with this radical, the expected Marcus22 type correlation is shown in Fig. 3.

Figure 3.

Figure 3.

Marcus correlation for the reaction of the phenols EC (black circle); ECG (black square); EGCG (black triangle); 1,4-dihydroquinone (inverted triangle); 1,3-dihydroquinone (black rhombus); and 1,2-dihydroquinone (white circle) with azide radical. The rate constants were taken from NDRL-NIST Solution Kinetics Database18 and the redox potentials from Wardman20.

For all the oxidants and phenols shown in Table 2, it was possible to obtain an empirical correlation between the rate constant k and ΔG° (Fig. 4).

Figure 4.

Figure 4.

Correlation between the rate constant k and ΔG° for the data shown in Table 2. The symbol (black circle) represents the experimental data and the full lines the calculated fits according to Equation 1.

The experimental data were fitted to equation 1:

graphic file with name YRER_A_11709923_M0001.jpg 1

Equation 1 with a similar dependence of k with ΔGo to that shown by Marcus equation,22 is also valid for the azide radical reactions, which proceed by electron transfer.

From this correlation, by measuring the rate constant of the reaction of a phenolic compound or an antioxidant natural extract, it is possible to predict the antioxidant ability of the sample. As can be seen in Fig. 4, the correlation can be applied in the ΔG° range from −6 to −0.5 × 10−23 eV. All the values of k for ΔG° ranging between −12 and −6 × 10−23 eV are close to a diffusion-controlled rate constant.

Acknowledgement

LSV and DOM are researchers from CIC (Buenos Aires, Argentina), and MCG is a researcher from CONICET (Argentina).

References

  • 1.Hollman PC, Katan MB. Dietary flavonoids: intake, health effects and bioavailability. Food Chem Toxicol 1997;37(9–10):937–42. [DOI] [PubMed] [Google Scholar]
  • 2.Prior RL, Cao G. Flavonoids: diet and health relationships. Nutr Clin Care 2000;3(5):279–88. [Google Scholar]
  • 3.Kaur C, Kapoor H. Antioxidants in fruits and vegetables the millennium's health. Int J Food Sci Technol 2001;36(7):703–25. [Google Scholar]
  • 4.Van den Berg R, Haenen G, van den Berg H. Applicability of an improved Trolox equivalent antioxidant capacity (TEAC) assay for evaluation of antioxidant capacity measurements of mixtures. Food Chem 1999;66(4):511–7. [Google Scholar]
  • 5.Re R, Pellegrini N, Proteggente A, Pannala A, Yang M, Rice-Evans C. Antioxidant activity applying an improved ABTS radical cation decolorization assay. Free Radic Biol Med 1999;26(9–10):1231–7. [DOI] [PubMed] [Google Scholar]
  • 6.Evelson P, Travacio M, Repetto M. Evaluation of total reactive antioxidant potential (TRAP) of tissue homogenates and their cytosols. Arch Biochem Biophys 2001;388(2):261–6. [DOI] [PubMed] [Google Scholar]
  • 7.Benzie IF, Strain J. Ferric reducing antioxidant power assay: direct measure of total antioxidant activity of biological fluids and modified version for simultaneous measurement of total antioxidant power and ascorbic acid concentration. Methods Enzymol 1999;299:15–27. [DOI] [PubMed] [Google Scholar]
  • 8.Cao GH, Prior RL. Measurement of oxygen radical absorbance capacity in biological samples. Methods Enzymol 1999;299:50–62. [DOI] [PubMed] [Google Scholar]
  • 9.Henriquez C, Aliaga C, Lissi E. Kinetics profiles in the reaction of ABTS derived radicals with simple phenols and polyphenols. J Chil Chem Soc 2004;49(1):65–7. [Google Scholar]
  • 10.Pannala AS, Chan TS, O'Brien PJ, Rice-Evans CA. Flavonoid B-ring chemistry and antioxidant activity: fast reaction kinetics. Biochem Biophys Res Commun 2001;282:1161–8. [DOI] [PubMed] [Google Scholar]
  • 11.Lien E, Ren S, Bui H, Wang R. Quantitative structure-activity relationship analysis of phenolic antioxidants. Free Radic Biol Med 1999;26(3–4):285–94. [DOI] [PubMed] [Google Scholar]
  • 12.Jovanovic SV, Tosic M, Simic MG. Use of the Hammet correlation and s1 for calculation of one-electron redox potentials of antioxidants. J Phys Chem 1991;95(26):10824–7. [Google Scholar]
  • 13.Jovanovic SV, Steenken S, Simic MG, Hara Y. Antioxidant properties of flavonoids: reduction potentials and electron transfer reductions of flavonoid radicals. In: , Rice-Evans CA, Packers L (eds.) Flavonoids in health and disease. New York: Marcel Dekker Inc; 1998. p. 137–61. [Google Scholar]
  • 14.Erel O. A novel automated direct measurement method for total antioxidant capacity using a new generation more stable ABTS radical cation. Clin Biochem 2004;37(4):277–85. [DOI] [PubMed] [Google Scholar]
  • 15.Mártire DO, Caregnato P, Furlong J, Allegretti P, Gonzalez MC. Kinetic study of the reactions of oxoiron(IV) with aromatic substrates in aqueous solutions. Int J Chem Kinet 2002;34(8):488–94. [Google Scholar]
  • 16.Re R, Pellegrini N, Proteggente A, Pannala A, Yang M, Rice-Evans C. Antioxidant activity applying an improved ABTS radical cation decolorization assay. Free Radic Biol Med 1999;26(9–10):1231–7. [DOI] [PubMed] [Google Scholar]
  • 17. The Chemical Kinetics Simulator (CKS) program IBM Almaden Research Center http://www.almaden.ibm.com/st/past_projects/ck/
  • 18.NDRL-NIST Solution Kinetics Database ©NIST, 2002 [accessed 2013 Jul 8]. http://kinetics.nist.gov/solution/
  • 19.Villata LS, Gonzalez MC, Mártire DO. A kinetic study of the reactions of sulfate and dihydrogen phosphate radicals with epicatechin, epicatechingallate, and epigalocatechingallate. Int J Chem Kinet 2010;42(7):391–6. [Google Scholar]
  • 20.Wardman P. Reduction potentials of one-electron couples involving free radicals in aqueous solutions. J Phys Chem Ref Data 1989;18(4):1637–755. [Google Scholar]
  • 21.Alfassi Z, Schuler R. Reaction of azide radicals with aromatic compounds. Azide as a selective oxidant. J Phys Chem 1985;89(15):3359–63. [Google Scholar]
  • 22.Marcus RA. On the theory of oxidation reduction reactions involving electron transfer I. J Phys Chem 1956;24(5):966–78. [Google Scholar]

Articles from Redox Report : Communications in Free Radical Research are provided here courtesy of Taylor & Francis

RESOURCES