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Electrocatalytic oxidation of methanol by the [Ru3O(OAc)6(py)2(CH3OH)]3+cluster: improving the metal-ligand electron transfer by accessing the higher oxidation states of a multicentered system

Abstract

The [Ru3O(Ac)6(py)2(CH3OH)]+ cluster provides an effective electrocatalytic species for the oxidation of methanol under mild conditions. This complex exhibits characteristic electrochemical waves at -1.02, 0.15 and 1.18 V, associated with the Ru3III,II,II/Ru3III,III,II/Ru 3III,III,III /Ru3IV,III,III successive redox couples, respectively. Above 1.7 V, formation of two RuIV centers enhances the 2-electron oxidation of the methanol ligand yielding formaldehyde, in agreement with the theoretical evolution of the HOMO levels as a function of the oxidation states. This work illustrates an important strategy to improve the efficiency of the oxidation catalysis, by using a multicentered redox catalyst and accessing its multiple higher oxidation states.

ruthenium-acetate clusters; methanol oxidation; electrocatalysis


ARTIGO

Electrocatalytic oxidation of methanol by the [Ru3O(OAc)6(py)2(CH3OH)] 3+ cluster: improving the metal-ligand electron transfer by accessing the higher oxidation states of a multicentered system# # Dedicated to Prof. Hans Viertler, by the occasion of his 70 th anniversary.

Henrique E. TomaI, * * e-mail: henetoma@iq.usp.br ; Koiti ArakiI; André Luiz Barboza FormigaII; Anamaria D. P. AlexiouIII; Genebaldo S. NunesIV

IInstituto de Química, Universidade de São Paulo, CP 26077, 05513-970 São Paulo - SP, Brasil

IIInstituto de Química, Universidade Estadual de Campinas, CP 6154, 13084-971 Campinas - SP, Brasil

IIIUniversidade Presbiteriana Mackenzie, R. da Consolação, 896, 01302-907 São Paulo - SP, Brasil

IVUniversidade Estadual do Sudoeste da Bahia, Pç. Primavera, 40, 45700-000 Itapetinga - BA, Brasil

ABSTRACT

The [Ru3O(Ac)6(py)2(CH3OH)] + cluster provides an effective electrocatalytic species for the oxidation of methanol under mild conditions. This complex exhibits characteristic electrochemical waves at -1.02, 0.15 and 1.18 V, associated with the Ru3III,II,II/Ru3III,III,II/Ru 3III,III,III /Ru3IV,III,III successive redox couples, respectively. Above 1.7 V, formation of two RuIV centers enhances the 2-electron oxidation of the methanol ligand yielding formaldehyde, in agreement with the theoretical evolution of the HOMO levels as a function of the oxidation states. This work illustrates an important strategy to improve the efficiency of the oxidation catalysis, by using a multicentered redox catalyst and accessing its multiple higher oxidation states.

Keywords: ruthenium-acetate clusters; methanol oxidation; electrocatalysis.

INTRODUCTION

Electrochemical oxidation of organic compounds is an important issue in modern technology, allowing, for instance, the rational use of biomass as chemical supply and also in clean energy conversion processes.1 In this sense, the development of new electrocatalysts based on transition metal complexes has been pursued with great interest, because of their wide range of redox potentials, and variety of active centers in association with low reorganization barriers for electron transfer.2-5 A typical case of efficient transition metal electrocatalysis has been reported for the oxidation of 4-substituted-1,2-dimethoxybenzenes, in the presence of iron(II)polyimine catalysts.6

In this regard, we have investigated the catalytic properties of ruthenium carboxylate clusters of the type [Ru3O(OAc)6(py)2L]n+ in the oxidation of organic compounds7,8 (OAc = CH3CO2-, py = pyridine). These clusters exhibit a triangular structure strongly held by a central μ-oxo bridge, as well as by three double carboxylate bridges9,10 as shown in Figure 1. The close proximity of the metal centers leads to substantial metal-metal coupling, enhancing the electronic delocalization in the triangular unit.


Drago et al.11,12 have reported on the catalytic oxidation of primary alcohols to aldehydes and of secondary alcohols to ketone by [Ru3O(O2CR)6L3]n+ complexes (R = CH3, C2H5; L = H2O, PPh3). The catalysis was carried out at 65 ºC under 40 psi of O2, during 12-24 h. Recently, we have shown7,8 that a particularly efficient catalyst in oxygen transfer reactions under mild conditions is the oxo-bridged ruthenium carboxylate cluster [Ru3O(OAc)6(py)2(O)]+ (Figure 1b). This species can be represented as [Ru3IV,IV,III=O], and is rather special, since it exhibits two RuIV centers for activating the Ru=O bond in oxygen transfer reactions. As a matter of fact, it exhibits excellent catalytic activity in the oxidation of benzyl alcohol to benzyl aldehyde, and even in the catalytic oxidation of hydrocarbons. A convenient way of obtaining this species is from the [Ru3O(OAc)6(py)2(H2O)] + cluster by means of proton-coupled redox processes, or by activating [Ru3O(OAc)6(py)2(X)]+ species, where X = CH3OH or DMSO, using oxygen donors such as iodosylbenzene or terc-butilhydroperoxide. In the last case, it should be noticed that a high catalytic activity is only observed in the presence of ligands such as CH3OH or (CH3)2SO which are easily oxidized, yielding, respectively, the weakly-coordinating formaldehyde or (CH3)2SO2 species. Formation of such leaving groups greatly facilitates the oxygen transfer from the incoming oxidizing agent.

In this work, we explored a different catalytic route for the [Ru3O(OAc)6(py)2L]n+ complexes, by focusing on the methanol derivative (Figure 1c). In contrast to the preceding examples which require oxygen donor species, such as iodosyl benzene and peroxides to promote the catalysis, here we pursued the direct electrocatalytical oxidation of methanol by the cluster species. As a matter of fact, the [Ru3O(OAc)6(py)2(CH3OH)] + complex can be viewed as an interesting candidate for the electrochemical oxidation of methanol, because of its favorable electron transfer characteristics, and of the ability of the ruthenium clusters to stabilize high oxidation potentials, via the multicentered system, increasing the possibilities of performing multielectron transfer processes. In this way, it is expected that the [Ru3O(OAc)6(py)2(CH3OH)] n+ cluster at high oxidation states, e.g. RuIV,IV,III, can oxidize the coordinated methanol ligand, generating a leaving group for the access of another methanol molecule from the solvent in order to accomplish the catalytical cycle.

Along this line, we started investigating the electrochemical and spectroelectrochemical behavior of the [Ru3O(OAc)6(py)2(CH3OH)] + complex (Figure 1c), or [Ru3III,III,III(CH3 OH)]+, aiming the exploitation of its multiple oxidation states in the electrocatalytic oxidation of methanol under mild conditions. It should be noticed that the electrocatalytical oxidation of methanol is a very important issue, in energy conversion, including fuel cells. Recently, a large number of papers dealing the with electrocatalytical oxidation of methanol have been published; focusing mostly on modified electrodes encompassing metal oxides, carbon nanotubes and molecular species.13-22

EXPERIMENTAL

Materials and instrumentation

Analytical grade reagents and solvents (Aldrich or Merck) were used as supplied. Deionized water was obtained with a Barnstead nanopure purification system. Sodium trifluoroacetate (NaTFA) and its methanolic solutions were kept dry in the presence of 3 Å molecular sieves. Tetraethylammonium perchlorate (TEAClO4) was prepared according to procedures previously described.23

[Ru3O(OAc)6(py)2 (CH3OH)]PF6 was prepared by adapting the four steps procedure previously reported in the literature.24 The initial step involves the synthesis of the [Ru3O(OAc)6(CH3OH)3]OAc complex from the reaction of RuCl3.nH2O with NaOAc.3H2O. Typically, 5.0 of RuCl3.nH2O were dissolved in a mixture of 120 mL of dry ethanol and 28 mL of acetic acid in a round bottomed flask (500 mL) and 10.2 g of NaOAc.3H2O were added in small portions. The mixture was kept under reflux for 4 h and allowed to under rest overnight. The solid residues containing NaOAc and NaCl were removed by filtration, and the cluster solution was evaporated to dryness in a flash evaporator. The oily material was treated with 100 mL of methanol, and evaporated to dryness. This procedure was repeated for three times. Then 200 mL of acetone was added, yielding a green precipitate of [Ru3O(OAc)6(CH3OH)3]OAc which was collected on a filter, and washed with diethyl ether. In a second step, the [Ru3O(OAc)6(CH3OH)3]OAc complex was converted into the tris-substituted pyridine derivative, in the reduced form, [Ru3O(OAc)6(py)3]. For this purpose, the previously obtained solid (6.0 g) was dissolved into 350 mL of methanol containing 27 mL of pyridine. The mixture was kept under reflux for 5 min. After cooling at room temperature, the mixture was transferred to an ice bath and 30 mL of hydrazine solution (51%) was gradually added, under stirring. After 15 min the precipitate of [Ru3O(OAc)6(py)3] was collected on a filter, and washed with small amounts of water, methanol and diethyl ether. In the third step, the [Ru3O(OAc)6(py)3] complex was treated with of CO to yield [Ru3O(OAc)6(CO)(py)2 ]. Accordingly, the [Ru3O(OAc)6(py)3] complex (4.0 g) was dissolved in a mixture of 90 mL of methanol and 270 mL of benzene, under an argon atmosphere. The mixture was kept under reflux in the presence of CO (generated from sulfuric acid and formic acid) which was bubbled into the solution for at least 5 h. After cooling, the blue complex [Ru3O(OAc)6(CO)(py)2 ].C6H6 precipitated. The solid was collected on a filter, and washed with diethyl ether. In the final step this complex was oxidized with bromine in the presence of NH4PF6, to yield the [Ru3O(OAc)6(py)2(CH3OH)]PF 6 product. In this way, the [Ru3O(OAc)6(CO)(py)2 ].C6H6 complex (3.3 g) was dissolved in 330 mL of CH2Cl2 and treated, under stirring, with 65 mL of a Br2 (0.15 mol L-1) solution in CH2Cl2. The solution was evaporated to dryness, and the solid residue dissolved in 250 mL of methanol. The solution was kept under reflux for 30 min and then 3.5 g of NH4PF6 dissolved in 20 mL of methanol was added. After cooling, the [Ru3O(OAc)6(py)2(CH3OH)]PF 6 complex precipitated (3.2 g) as a blue solid and was collected on a filter and washed with diethyl ether. Anal. C23H32O14N2 PF6Ru3 (experimental/calculated) for C 27.0/27.4; H 3.2/3.2; N 2.9/2.8 (net yield = 42%).

The electronic spectra were obtained with a Hewlett-Packard model 8453-A diode-array spectrophotometer. Cyclic voltammetry experiments were carried out using a potentiostat/galvanostat PGSTAT 30 from Autolab and conventional three-electrode cell constituted by a vitreous carbon working electrode (A = 0.025 cm2); a platinum wire auxiliary electrode and an Ag/AgNO3 (0.01 mol dm-3; E0 = 0.503 V vs SHE) reference electrodes. A three-electrode system, arranged in a rectangular quartz cell (l = 0.25 mm) was used for the spectroelectrochemical measurements. In this case, a gold minigrid was used as a transparent working electrode, with the above mentioned auxiliary and reference minielectrodes.

Theoretical calculations

The geometries of [Ru3O(OAc)6(py)2L3] n (L = CH3OH, n = 0-3), CH2O and CH3OH were optimized using a modified MM2 force field25 with charges calculated by the semiempirical ZINDO/S method26 as implemented in the HyperChem program using the same methodology previously reported.27 A conjugate gradient with a 10-3 kcal mol-1 Å-1 convergence limit were used for geometries. ZINDO/S Self-Consistent Field calculations were performed to obtain RHF wavefunctions with a 10-7 kcal mol-1 criterion for convergence. For the species with half-integral spin states, the half-electron technique of Pople was used.28

RESULTS AND DISCUSSION

Cyclic voltammetry

The cyclic voltammograms of the [Ru3O(CH3COO)6(py)2(CH 3OH)]+ cluster in methanol (Figure 2) exhibited three characteristic waves in the range of potentials from -1.50 to 1.50 V vs. SHE (Table 1) ascribed to the Ru3III,II,II/Ru3III,III,II/Ru 3III,III,III /Ru3IV,III,III successive redox couples.7 In particular, the Ru3III,III,II/Ru3III,II,II (E1/2= -1.02 V vs. SHE) and Ru3III,III,III/Ru3III,III,II (E1/2= 0.15 V vs. SHE) couples exhibited reversible behavior (ipa/ipc ~ 1, ΔE = 59-60 mV), while the Ru3IV,III,III/Ru3III,III,III (E1/2= 1.18 V vs. SHE) process was quasi-reversible (ipa/ipc ~ 1, ΔE = 80 mV), showing some influence of a coupled chemical reaction, but at a very small extent. It should be noticed that the Ru3IV,III,III species is a relatively strong oxidizing agent, capable of oxidizing methanol to formaldehyde (Eº = 0.19 V).29 This reaction may be contributing to the broadening of the waves, however it should be relatively slow in the time scale of the cyclic voltammetry.


At 1.7 V, a very strong anodic wave can be observed in methanol solution, with practically no counterpart in the reverse scan. This wave is close to the region expected for the Ru3IV,IV,III/Ru3IV,III,III redox process, but it is much more intense than expected for a single monoelectronic process. The observed enhancement and the lack of the cathodic counterpart are consistent with an electrochemical process followed by a fast chemical reaction.30

Sundholm31,32 reported that the anodic oxidation of methanol involves an electron transfer mechanism coupled with the deprotonation of the molecule, i.e. Scheme 1:


The unstable CH2OH+ intermediate rapidly releases another proton, generating formaldehyde, CH2O.

A similar reaction can be proposed for the oxidation of methanol coordinated to the ruthenium cluster species, RuIV,IV,III, at 1.7 V. Now, in addition to a higher redox potential in relation to the Ru3IV,III,III species, the presence of two equivalent +IV oxidation states in the cluster species allows the extraction of two electrons from the coordinated methanol ligand (Scheme 1), generating formaldehyde, and the corresponding RuIII,III,III cluster. As a matter of fact, positive formaldehyde tests were observed using Nash method.33 Therefore, the RuIV,IV,III species should be a much better oxidizing agent than RuIV,III,III. On the other hand, according to a previous work3,4 formaldehyde is a labile ligand, and should dissociate very rapidly from the coordination sphere of the cluster, leaving space for entering another solvent molecule. In this way, the methanol complex is regenerated, completing the catalytic cycle shown in Scheme 2.


This scheme resembles the type VII case theoretically described by Shain and Nicholson, for a catalytic reaction coupled to reversible charge transfer.26 As a matter of fact, the observed voltammogram profiles above 1.5 V (Figure 2) are compatible with those theoretically predicted for this type of process. In this case, the current functions are usually expressed as a function of the kr/a parameter, where kr is the kinetic constant for the coupled chemical reaction and a = F.v/RT, where v = potential scan rate and the remaining terms have the conventional meaning. Based on such theoretical data, Shain and Nicholson30 proposed a working curve in which the theoretical ratio of the catalytic peak current to the reversible peak current (R = icat/irev) is plotted as a function of (kr/a)1/2. From this plot, using the experimental values of R, it is possible to extract the value of kr for the ruthenium cluster catalyst.

In our case, the reversible peak current can be estimated from the reversible voltammogram corresponding to the RuIII,III,III/RuIII,III,II process at 0.15 V. The catalytic peak currents were estimated from the voltammograms at 1.7 V, at the several scan rates, after subtracting the extrapolated base lines for the pure solvent. The values of a1/2 calculated for the scan rates v = 50, 100, 200 and 300 mV s-1 were 1.39, 1.97, 2.78 and 3.41, respectively. The corresponding values of R were 5.5, 3.8, 3.3 and 2.9, respectively. By inserting such values into the Shain and Nicholson theoretical working curve,30 the kinetic constant kr were estimated as 12, 12, 15, and 18 s-1, respectively, corresponding to an average value of 15 ± 3 s-1. This result for kr should reflect mainly the intramolecular electron transfer rate from the RuIV,IV,III species to the coordinated methanol ligand, since the proton release from the intermediates to yield formaldehyde is expected to be very fast, as illustrated in the Scheme 3.


It should be noted that the oxidation of the coordinated methanol ligand proceeds with a lifetime (τ = 1/kr = 0.66 s) concurrent with the time scale of the cyclic voltammetry, thus explaining why it exerts a dramatic influence on the shape and intensities of the electrochemical peaks at 1.7 V. In the case of a slower proces, only a quasi-reversible electrochemical wave would be observed, similar to that at 1.18 V, where the catalyst exhibits only one RuIV site and is not strongly oxidizing enough to perform a 2-electron oxidation of methanol. On the other hand, if kr was extremely fast, the shape of the catalytic waves would tend to a limiting case, where the voltammograms converge into a plateau, in which the current becomes independent of the potential scan rates.

Spectroelectrochemistry

The electronic spectrum of the [Ru3O(OAc)6(py)2(CH3OH)] + cluster in methanolic solution (Figure 3) exhibits a composite band at 678 nm (ε = 4030 mol-1 cm-1 L) ascribed to intracluster transitions in the Ru3III,III,III species, in addition to a shoulder near 340 nm, which has been assigned to a Ru3O(dπ)→py(π*) charge-transfer transition.10 UV-Vis spectroelectrochemical measurements in methanol can be seen in Figure 3. Starting from 0.5 V (vs. SHE) and going in the direction of more negative potentials (Figure 3a), one can observe a decrease of the bands at 678 nm, and an increase of two bands at 390 and 915 nm corresponding, respectively, to the (dπ)→py(π*) charge-transfer and the intracluster transitions in the reduced species [Ru3III,III,II(CH3 OH)].


It is important to note that by scanning the potential up to 1.8 V, there is no significant changes in the electronic spectra of the [Ru3III,III,III(CH3 OH)]+ species, in spite of the existence of two electrochemical waves in this region (Figures 2 and 3b). This observation is consistent with the proposed electrocatalytic process. In the time scale of the spectroelectrochemical measurements, the oxidized species cannot be detected since it is rapidly converted into formaldehyde, regenerating the starting [Ru3III,III,III(CH3 OH)]+ species absorbing at 678 nm.

Molecular modeling

Theoretical calculations were carried out to understand how the energy levels vary with the oxidations states of the [Ru3O(OAc)6(py)2(CH3OH)] n clusters (n = 0-3), in relation to the HOMO levels of methanol. Initially the geometries of the clusters were optimized using a modified MM2 force field25 and the charges calculated by the semiempirical ZINDO/S method.26,27 Then ZINDO/S Self-Consistent Field calculations were performed to obtain RHF wavefunctions. For the species with half-integral spin states, the half-electron technique of Pople was used.28 The results were collected in Figure 4.


As one can see in Figure 4, the three most relevant HOMO levels for the ruthenium clusters are centered on the Ru3O core, exhibiting b1(1), a2 and b1(2) symmetry. The b1 levels exhibit a major contribution from the Ru atom coordinated to the methanol ligand. As the cluster oxidation states increase, there is a systematic decrease in the energies of the three HOMO levels. At the Ru3IV,III,III oxidation state, the cluster HOMO level (-0.43 Hartree) practically coincides with the methanol HOMO level (-0.42 Hartree), reaching the crossover point for electron transfer. Moving down to the Ru3IV,IV,III oxidation state, the HOMO level (-0.48 V) becomes far below the methanol HOMO level (-0.42), thus creating favorable conditions for electron transfer, as observed experimentally.

CONCLUSIONS

The electrochemistry of the [Ru3O(Ac)6(py)2(CH3OH)] + cluster involves a series of reversible or quasi-reversible waves at -1.02, 0.15 and 1.18 V associated with the Ru3III,II,II/Ru3III,III,II/Ru 3III,III,III /Ru3IV,III,III successive redox couples, respectively. Above 1.5 V the oxidation of the Ru3IV,III,III to the Ru3IV,IV,III state is accompanied by the 2-electron oxidation of the coordinated methanol ligand, yielding formaldehyde and regenerating the Ru3III,III,III species which returns to the cycle after incorporating another methanol ligand. Such reactions proceed at the time scale of the cyclic voltammograms. For this reason, at the slower time scale of the spectroelectrochemical experiments, only the Ru3III,III,III species can be detected in the potential range of 0.5 to 1.8 V. The electrochemical responses at 1.18 and 1.7 V are consistent with the evolution trends of the HOMO levels with respect to the oxidation states, supporting the conclusion that at least two RuIV sites in the multicentered complex are required for an efficient electron transfer involving the oxidation of methanol. This relevant aspect should be taken into consideration in the design of more effective electrocatalytic species, capable of performing the oxidation of methanol under mild conditions.

ACKNOWLEDGEMENTS

The financial support from FAPESP, CNPq and CAPES is gratefully acknowledged.

Recebido em 24/5/10; aceito em 27/7/10; publicado na web em 15/10/10

  • 1. Viertler, H.; Gruber, J.; Pardini, V. L. In Organic electrochemistry; Lund, H.; Hammerich, O., eds.; Marcel Dekker: New York, 2001, chap. 17, p. 621.
  • 2. Araki, K.; Toma, H. E. In N-4 macrocyclic metal complexes; Zagal, J. H.; Bedioui, F.; Dodelet, J.-P.; Springer: New York, 2006, chap. 6, p. 255.
  • 3. Araki, K.; Dovidauskas, S.; Winnischofer, H.; Alexiou, A. D. P.; Toma, H. E.; J. Electroanal. Chem. 2001, 498, 152.
  • 4. Dovidauskas, S.; Toma, H. E.; Araki, K.; Sacco, H. C.; Iamamoto, Y.; Inorg. Chim. Acta 2000, 305, 208.
  • 5. Toma, H. E.; Araki, K.; Progr. Inorg. Chem. 2009, 56, 379.
  • 6. Kuwabara, I. H.; Comninos, F. C. M.; Pardini, V. L.; Viertler, H.; Toma, H. E.; Electrochim. Acta 1994, 39, 2401.
  • 7. Nunes, G. S.; Alexiou, A. D. P.; Araki, K.; Formiga, A. L. B.; Rocha, R. C.; Toma, H. E.; Eur. J. Inorg. Chem 2006, 1487.
  • 8. Nunes, G. S.; Alexiou, A. D. P.; Toma, H. E.; J. Catal. 2008, 260, 188.
  • 9. Alexiou, A. D. P.; Dovidauskas, S.; Toma, H. E.; Quim. Nova 2000, 23, 785.
  • 10. Toma, H. E.; Araki, K.; Alexiou, A. D. P.; Nikolaou, S.; Dovidauskas, S.; Coord. Chem. Rev. 2001, 219-221, 187.
  • 11. Davis, S.; Drago, R. S.; Inorg. Chem. 1988, 27, 4759.
  • 12. Bilgrien, C.; Davis, S.; Drago, R. S.; J. Am. Chem. Soc. 1987, 109, 3786.
  • 13. Sieben, J. M.; Duarte, M. M. E.; Mayer, C. E.; ChemCatChem 2010, 2, 182.
  • 14. Raoof, J. B.; Golikan, A. N.; Baghayeri, M.; J. Solid State Electrochem 2010, 14, 817.
  • 15. Raoof, J. B.; Karimi, M. A.; Hosseini, S. R.; Mangelizadeh, S.; J. Electroanal. Chem 2010, 638, 33.
  • 16. El-Deab, M. S.; Int. J. Electrochem. Sci 2009, 4, 1329.
  • 17. Zheng, L.; Song, J. F.; J. Solid State Electrochem 2010, 14, 43.
  • 18. Wu, B. H.; Hu, D.; Kuang, Y. J.; Liu, B.; Zhang, X. H.; Chen, J. H.; Angew. Chem., Int. Ed. 2009, 48, 4751.
  • 19. Suffredini, H. B.; Salazar-Banda, G. R.; Avaca, L. A.; J. Sol-Gel Sci. Technol. 2009, 49, 131.
  • 20. Balasubramanian, A.; Karthikeyan, N.; Giridhar, V. V.; J. Power Sources 2008, 185, 670.
  • 21. Zhao, H. B.; Li, L.; Yang, J.; Zhang, Y. M.; Electrochem. Commun 2008, 10, 1527.
  • 22. Zhang, D.; Ding, Y.; Gao, W.; Chen, H. Y.; Xia, X. H.; J. Nanosci. Nanotechnol. 2008, 8, 979.
  • 23. Sawyer, D. T.; Roberts, J. L.; Experimental Electrochemistry for Chemists, Wiley: New York, 1974.
  • 24. Baumann, J. A.; Salmon, D. J.; Wilson, S. T.; Meyer, T. J.; Hatfield, W. E.; Inorg. Chem 1978, 17, 3342.
  • 25. Allinger, N. L.; J. Am. Chem. Soc 1977, 99, 8127.
  • 26. Zerner, M. C.; Loew, G. H.; Kirchner, R. F.; Mueller-Westerhoff, U. T.; J. Am. Chem. Soc. 1980, 102, 589.
  • 27. Formiga, A. L. B.; Nogueira, A. F.; Araki, K.; Toma, H. E.; New J. Chem 2008, 32, 1167.
  • 28. Longuet-Higgins, H.; Pople, J. A.; Proc. Phys. Soc. 1955, 68, 591.
  • 29. Latimer, W. M.; The oxidation states of the elements and their potentials in aqueous solutions, Prentice-Hall: Englewood Cliffs, 1952, 2nd ed.
  • 30. Nicholson, R. S.; Shain, I.; Anal. Chem 1964, 36, 706.
  • 31. Sundholm, G.; Acta Chem. Scand 1971, 25, 3188.
  • 32. Sundholm, G.; J. Electroanal. Chem. 1971, 31, 265.
  • 33. Nash, T.; Biochemistry 1953, 55, 416.
  • #
    Dedicated to Prof. Hans Viertler, by the occasion of his 70
    th anniversary.
  • *
    e-mail:
  • Publication Dates

    • Publication in this collection
      15 Dec 2010
    • Date of issue
      2010

    History

    • Received
      24 May 2010
    • Accepted
      27 July 2010
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