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Investigation of the solid state reaction of LaMnO3 with Feº and its effect on the catalytic reactions with H2O2

Abstracts

In this work, the reaction of the perovskite LaMnO3.15 with Feº has been promoted by thermal treatment of the mixture Feº/LaMnO3.15 at 200, 400 and 600 ºC. Mössbauer spectroscopy, X-ray diffraction (XRD), temperature programmed reduction (TPR) and temperature programmed desorption (O2-TPD) analyses suggested that at 400 and 600 ºC oxygen from perovskite is transferred to Feº to produce an oxygen deficient perovskite, LaMnO3-d, and highly dispersed iron oxides, mainly Fe3O4 and FeO. XRD lattice parameters and crystallite size showed that LaMnO3 suffers a strong lattice distortion after reaction but no collapse of the perovskite structure. Reactivity studies pointed to a special interface effect of Feº/LaMO3 towards two reactions with H2O2, the decomposition to O2 and the oxidation of the model molecule, the methylene blue dye. As the treatment temperature of the Feº/LaMnO3.15 increased, the activity for H2O2 decomposition decreased, whereas the activity for the dye oxidation increased. These results are discussed in terms of a decrease in the concentration of Mn4+surf and Mn3+surf species, active for the H2O2 decomposition, with the formation of Mn2+surf and Fe2+surf species, active for the Fenton reaction.

perovskites; iron oxides; Fenton; Mössbauer spectroscopy


Neste trabalho, reações entre a perovskita LaMnO3,15 e Feº foram promovidas pelo tratamento térmico da mistura Feº/LaMnO3,15 a 200, 400 e 600 ºC. Análises por espectroscopia Mössbauer, difração de raios X (DRX), redução em temperatura programada (TPR) e desorção em temperatura programada (O2-TPD) sugerem que a 400 ºC e a 600 ºC a perovskita transfere oxigênios para o Feº, produzindo uma perovskita deficiente em oxigênio, LaMnO3-d, e formando óxidos de ferro altamente dispersos, principalmente Fe3O4 e FeO. Os parâmetros de rede e os tamanhos de cristalitos obtidos por DRX mostram que o LaMnO3 sofre uma forte distorção da rede cristalina após a reação, mas sem o colapso da estrutura perovskita. Estudos de reatividade sugerem um efeito especial de interface na mistura Feº/LaMnO3 em duas reações com H2O2, i.e. a decomposição para produzir O2 e a oxidação da molécula modelo, o corante azul de metileno. Com o tratamento da mistura Feº/LaMnO3,15 a temperaturas mais altas, observa-se uma diminuição da atividade de decomposição do H2O2, porém um aumento na atividade de oxidação do corante. Estes resultados são discutidos em termos de uma diminuição da concentração das espécies Mn3+sup e Mn4+sup, ativas para a decomposição do H2O2, com a formação de espécies Mn2+sup e Fe2+sup, ativas para a reação de Fenton.


ARTICLE

Investigation of the solid state reaction of LaMnO3 with Feº and its effect on the catalytic reactions with H2O2

Flávia C. C. MouraI; Maria H. AraujoI; José D. ArdissonII; Waldemar A. A. MacedoII; Adriana S. AlbuquerqueII,* * e-mail: rochel@ufmg.br, asa@cdtn.br ; Rochel M. LagoI,* * e-mail: rochel@ufmg.br, asa@cdtn.br

IDepartamento de Química, ICEx, Universidade Federal de Minas Gerais, 31270-901 Belo Horizonte-MG, Brazil

IILaboratório de Física Aplicada, Centro de Desenvolvimento de Tecnologia Nuclear, CDTN-CNEN, 31270-901 Belo Horizonte-MG, Brazil

ABSTRACT

In this work, the reaction of the perovskite LaMnO3.15 with Feº has been promoted by thermal treatment of the mixture Feº/LaMnO3.15 at 200, 400 and 600 ºC. Mössbauer spectroscopy, X-ray diffraction (XRD), temperature programmed reduction (TPR) and temperature programmed desorption (O2-TPD) analyses suggested that at 400 and 600 ºC oxygen from perovskite is transferred to Feº to produce an oxygen deficient perovskite, LaMnO3-d, and highly dispersed iron oxides, mainly Fe3O4 and FeO. XRD lattice parameters and crystallite size showed that LaMnO3 suffers a strong lattice distortion after reaction but no collapse of the perovskite structure. Reactivity studies pointed to a special interface effect of Feº/LaMO3 towards two reactions with H2O2, the decomposition to O2 and the oxidation of the model molecule, the methylene blue dye. As the treatment temperature of the Feº/LaMnO3.15 increased, the activity for H2O2 decomposition decreased, whereas the activity for the dye oxidation increased. These results are discussed in terms of a decrease in the concentration of Mn4+surf and Mn3+surf species, active for the H2O2 decomposition, with the formation of Mn2+surf and Fe2+surf species, active for the Fenton reaction.

Keywords: perovskites, iron oxides, Fenton, Mössbauer spectroscopy

RESUMO

Neste trabalho, reações entre a perovskita LaMnO3,15 e Feº foram promovidas pelo tratamento térmico da mistura Feº/LaMnO3,15 a 200, 400 e 600 ºC. Análises por espectroscopia Mössbauer, difração de raios X (DRX), redução em temperatura programada (TPR) e desorção em temperatura programada (O2-TPD) sugerem que a 400 ºC e a 600 ºC a perovskita transfere oxigênios para o Feº, produzindo uma perovskita deficiente em oxigênio, LaMnO3-d, e formando óxidos de ferro altamente dispersos, principalmente Fe3O4 e FeO. Os parâmetros de rede e os tamanhos de cristalitos obtidos por DRX mostram que o LaMnO3 sofre uma forte distorção da rede cristalina após a reação, mas sem o colapso da estrutura perovskita. Estudos de reatividade sugerem um efeito especial de interface na mistura Feº/LaMnO3 em duas reações com H2O2, i.e. a decomposição para produzir O2 e a oxidação da molécula modelo, o corante azul de metileno. Com o tratamento da mistura Feº/LaMnO3,15 a temperaturas mais altas, observa-se uma diminuição da atividade de decomposição do H2O2, porém um aumento na atividade de oxidação do corante. Estes resultados são discutidos em termos de uma diminuição da concentração das espécies Mn3+sup e Mn4+sup, ativas para a decomposição do H2O2, com a formação de espécies Mn2+sup e Fe2+sup, ativas para a reação de Fenton.

Introduction

Metallic iron and iron oxides have been extensively investigated in several environmental applications, such as the reductive treatment of organic and inorganic groundwater contaminants, e.g. reactive permeable barriers,1,2 and the advanced oxidation Fenton process.3-5 This is mainly due to the versatile chemical-redox behavior, low toxicity and low cost of iron and iron oxides. However, these iron compounds show relatively low activity and many efforts in this area are currently directed to improve the efficiency and widen the application of these systems in environmental remediation processes.

We have recently reported two ways to increase the activity of Feº and iron oxides in these applications, i.e. (i) the combination of the oxide with metallic iron4,5 and (ii) the introduction of Mn in the iron oxide structure.3,6 The combination of Fe3O4 with Feº strongly increases the activity for the Fenton chemistry and also for the electron transfer reactions of Feº.4,5 This increase in activity was discussed in terms of a thermodynamically favorable electron transfer from Feº to Fe3O4 to generate Fe2+surf species active for the reactions. Also, the presence of Mn in the oxide structure, e.g. Fe3-xMnxO4, produces a remarkable increase in the activity for the Fenton reaction.3,6 The high reactivity was explained by a redox cycle where Mn2+surf species were oxidized by H2O2 to generate radicals and subsequently regenerated by reduction of Mn3+surf by Fe2+bulk.

In this work, we investigate for the first time the use of the perovskite LaMnO3 and the mixture Feº/LaMnO3 as catalysts in the Fenton reaction. The perovskites LaMnO3 and its derivatives La1-xAxMn1-yM yO3 (where A can be a lanthanide, actinide, alkaline or earth alkaline metal and M a transition metal such as Co, Fe and Ni) show interesting properties for the reactions with H2O2, such as the possibility of Mn in different oxidation states, Mn2+, Mn3+, Mn4+, and a flexible oxygen stoichiometry (d), allowing a control of their redox behavior.7 Hereon, we describe in detail the interface reaction of LaMnO3 with Feº and its effect on the reactions with H2O2, i.e., the decomposition to O2 and the oxidation of the organic probe molecule, the methylene blue dye.

Experimental

The perovskite LaMnO3 was prepared by co-precipitation of a solution (85 mL) of Mn3+aq 0.05 mol L-1 (Mn(NO3)3, Synth) and La3+aq 0.05 mol L-1 (La(NO3)3, Synth) with NaOH (180 mL of 2 mol L-1) at room temperature. The solid obtained was extensively washed, dried at 80 ºC for 5 h and treated at 800 ºC in air for 4 h. The mixtures Feº/LaMnO3 used iron metal a-Feº (Sicalab).

The Feº/LaMnO3 mixtures were prepared with a metal:oxide weight ratio of 1:1 by simple manual grinding for 60 s using an agate mortar. The thermal treatment was carried out in a quartz tube under argon (99.995%) flow (50 mL min-1) heated from room temperature to 200, 400 or 600 ºC at 10 ºC min-1 and kept at the final temperature for 2 h. The mixtures were then quenched to room temperature under argon atmosphere by removing the quartz tube from the oven and using compressed air to cool down the external tube wall.

The transmission 57Fe Mössbauer spectroscopy analysis was carried out on a CMTE spectrometer model MA250 with a 57Co/Rh source at room temperature using a-Feº as reference. Assuming that all phases possess the same recoil-free fraction, the analysis of the experimental data was carried out by a least-squares computer minimization routine, using a sum of Lorentzian spectral components characterizing different iron phases.8 The spectra were fitted using the NORMOS DO BRANT program.9 The powder X-ray diffraction (XRD) data were obtained on a Rigaku model Geigerflex diffractometer using Cu Ka radiation, scanning from 2 to 75º at a scan rate of 4º min-1. The values of the lattice parameters were obtained by a least-squares refinement using the method of Holland & Redfern.10,11 The TPR (temperature programmed reduction) analysis was performed in a CHEM BET 3000 TPR using H2 (8% in N2) with a heating rate of 10 ºC min-1. The H2 consumption was obtained after calibration of the TPR system using standard CuO. The TPD (temperature programmed desorption) was carried out using a HP quadrupole mass spectrometer to measure the O2 desorbed during the heating (10 ºC min-1) under vacuum (10-6 torr). The hydrogen peroxide (Synth) decomposition was carried out with 11 mL of a H2O2 solution (0.9 mol L-1) and 60 mg of the alloyed mixture, measuring the formation of gaseous O2 in a volumetric glass system. For the oxidation of methylene blue (3.5 mL at 0.05 g L-1), 0.1 mL of H2O2 30% and 30 mg of the Feº/LaMnO3 mixtures were added to the aqueous solutions (prepared with Millipore MilliQ water) under stirring. All reactions were carried out using magnetic stirring in a recirculating temperature controlled bath kept at 25 ± 1 ºC. The oxidation of methylene blue was monitored via UV/Vis (Varian Cary 50 Conc). The hydrogen peroxide was added only after the adsorption equilibrium took place. The solution spectroscopic absorbance usually decreased only between 3 to 6%. After the reactions, the aqueous phases were analyzed for Fe and Mn by atomic absorption (Carl Zeiss Jena AAS).

Results and Discussion

Characterization of the LaMnO3 by TPR and TPD: oxygen availability for reaction

In order to investigate the oxygen availability and reactivity for the transference to Feº, the prepared LaMnO3 was characterized by TPR (temperature programmed reduction) and O2-TPD (temperature programmed desorption). TPR analysis of LaMnO3 (Figure 1a) showed two sets of peaks: (i) at 200-530 ºC and (ii) at temperatures higher than 550 ºC. The peaks at 200-530 ºC have been assigned to the reduction of Mn4+ and also to the reduction of some Mn3+ with loss of oxygen, according to the process:12



The high temperature TPR peak centered at 760 ºC is related to the reduction of all Mn3+ to Mn2+, leading to the collapse of the perovskite structure to produce mainly La2O3 and MnO:12

From the total hydrogen consumption, the oxygen stoichiometry obtained for the perovskite in this work was ca. LaMnO3.15, which agrees with different values reported in the literature.13

The O2-TPD experiment (Figure 1b) shows that oxygen is released from the perovskite structure at temperatures higher than 500 ºC, as a broad O2 desorption peak centered at 650 ºC can be observed. This O2, named b-oxygen,14 is related to the desorption of non-stoichiometric oxygen and the reduction of Mn4+ to Mn3+. A shoulder near 800-900 ºC is also observed, which has been assigned in the literature to the reduction of Mn3+ to Mn2+.14

Based on the TPR and TPD results, three temperatures were selected for the treatment of the mixtures Feº/LaMnO3: 200 ºC, where the perovskite begins to be reduced; 400 ºC, where non-stoichiometric and some stoichiometric oxygen reacts without destroying the perovskite structure and 600 ºC, where the perovskite structure can be strongly affected by H2. Also, the thermal treatment of the Feº/LaMnO3 mixtures was carried out under argon flow to avoid non-interface reactions, for example the oxidation of Feº by O2 released by desorption, as seen in the TPD experiment.

Interface reactions in the system Feº/LaMnO3

In order to produce a superficial interaction between the particles of Feº and the perovskite LaMnO3 but to avoid an extensive reaction, a very mild mechanical alloying by simple manual grinding for 60 s was used. Alloying for longer time or with higher energy can promote a significant reaction of iron metal with different oxides.15

Mössbauer spectra of the Feº/LaMnO3 mixtures after grinding (25 ºC) and after thermal treatment at 200-600 ºC are shown in Figure 2. The Mössbauer hyperfine parameters obtained from the spectra can be seen in Table 1.


The commercial iron metal used in this work showed only a sextet with quadrupolar splitting of 33 T relative to Feº. The Feº/LaMnO3 mixture after a simple manual grinding for 60s (25 ºC) showed, besides the Feº signal (97%), also a low intensity signal (3%) relative to Fe3+disperse, with d 0.37 and D 0.69 mm s-1. As pure Feº ground by the same procedure did not show this signal for Fe3+disperse, this result suggests that the simple grinding of Feº with LaMnO3 for 60 s led to some oxidation of the iron metal surface. Upon treatment at 200 ºC no significant change was observed. On the other hand, at 400 and 600 ºC the relative intensity of Feº signal strongly decreased and new signals related to the Fe3O4, FeO, g-Fe2O3/a-Fe2O 3 phases appeared. Experiments with pure iron at 600 ºC under argon flow did not show any significant reaction, ruling out any oxidation by impurities such as O2 or H2O in the Ar gas.

The phase compositions for the different treatment temperatures can be better visualized in Figure 3. It can be observed that at 400 ºC the Feº is converted mainly to Fe3O4 (18%). As the reaction was carried out under argon atmosphere, the oxygen to oxidize Feº should come from the perovskite according to the process:5


At 600 ºC, the relative Feº signal intensity further decreases, indicating its consumption in the reaction. As the Fe3O4 relative signal intensity decreases, the signals for FeO and Fe2O3 (as g-Fe2O3 and a-Fe2O3) showed a significant increase. To explain the formation of these iron oxides, one can consider several processes taking place at 600 ºC: (i) The oxidation of the Fe3O4 by LaMnO3 according to the process:

It should also be considered that Fe3O4 can be oxidized by air even at room temperature to produce large quantities of maghemite.5 Therefore, a significant part of the Fe2O3 observed might have been formed after thermal treatment when the sample was exposed to air; (ii) The transformation of the maghemite g-Fe2O3 spinel cubic structure to the hematite a-Fe2O3 hexagonal structure, which is known to take place at temperatures near 520 ºC.16 (iii) The reaction of Fe3O4 and Fe2O3 with Feº to produce FeO, occurring at temperatures near 600 ºC.17

Another process which could take place is the complete reduction of the LaMnO3, leading to the collapse of the perovskite structure. To investigate this possibility, the thermally treated Feº/LaMnO3 mixtures were also studied by powder X-ray diffraction (XRD). In Figure 4, typical peaks for the LaMnO3 orthorhombic structure can be observed.18


When the mixture Feº/LaMnO3 was thermally treated at 200 ºC under argon, no significant change was detected. On the other hand, at 400 and 600 ºC several changes were observed: (i) the relative intensity of the Feº diffraction peaks progressively decreases. The ratio IXRD(LaMnO3)/IXRD(Fe o) (IXRD Feº at 2q ca. 45º and IXRD LaMnO3 at 2q ca. 32º) changes from 0.86 to 0.85, 1.54 and 1.67 for the mixtures treated at 25, 200, 400 and 600 ºC, respectively. These results clearly indicate the consumption of the Feº upon thermal treatment; (ii) The perovskite diffraction peaks shift to lower angles (Figure 4, detail), suggesting that the lattice parameters are changing after thermal treatment. The lattice parameters obtained for the sample at 25 and 200 ºC are similar to the observed in the literature for the pure LaMnO3 (a = 7.796 Å, b = 5.540 Å and c = 5.508 Å),19 indicating that at these conditions no significant change in the perovskite structure takes place. On the other hand, after treatment at 400 and 600 ºC, the XRD data suggest that the perovskite unit cell volume increased to 245.1 Å3 (a = 7.689 Å, b = 5.540 Å and c = 5.753 Å), likely due to the loss of oxygen from the structure; (iii) Estimation of the crystallite size using the Scherrer equation suggests that the perovskite crystals increase from 170 to 240 and 310 Å as the Feº/LaMnO3 mixture is treated at 200, 400 and 600 ºC respectively; (iv) Although the Mössbauer spectrum clearly shows the formation of Fe3O4 at 400 ºC, XRD only shows a small and broad peak related to Fe3O4, suggesting a highly dispersed phase. On the other hand, at 600 ºC better crystallized Fe3O4 and FeO were observed, with particle sizes of 103 and 135 Å estimated by the Scherrer equation; (v) No peaks for La2O3 (at 27.2 and 31.6º, file 22-0369) or MnO (40.5, 34.9 and 58.7º, file 07-0230) could be detected, suggesting that the collapse of the perovskite structure does not take place significantly or it is producing highly dispersed/amorphous La2O3 and MnO phases; (vi) It was also observed that the thermal treatment at 600 ºC does not affect the surface area measured by the BET N2 adsorption method, which was ca. 2 m2 g-1 for the Feº/LaMnO3 mixture before and after thermal treatment.

Mössbauer and XRD data suggest that the perovskite LaMnO3.15 can transfer oxygen to Feº by an interface reaction producing new iron oxide phases. Based on these results, a very simple and idealized scheme to explain the surface reaction between LaMnO3+d and Feº can be proposed:

After thermal treatment, the particles shown in Figure 5 can be separated by breaking the interface and exposing both surfaces, the reduced LaMnO3 and the oxidized Feº, which have an important effect on the catalytic properties of the materials.


Effect of thermal treatment on the properties of Feº/LaMnO3 towards H2O2 reactions

The Feº/LaMnO3 mixtures treated at different temperatures were studied to promote two reactions: (i) the decomposition of H2O2 to O2 and (ii) the oxidation of methylene blue with H2O2.

The hydrogen peroxide decomposition (equation 5) is a versatile probe reaction to investigate the activity of perovskite catalysts, as (i) the experimental set-up is simple, (ii) it has been well investigated for different perovskites,19-22 (iii) Mn-containing perovskites are especially active for this reaction,23-25 and (iv) the activity is very sensitive to changes in the transition metal oxidation state and oxygen vacancies on the surface.

The results obtained for the peroxide decomposition in the presence of the different Feº/LaMnO3 mixtures can be seen in Figure 6. The linear behavior of the decomposition plots (Figure 6a) suggests a pseudo zero order dependence on the H2O2 concentration under the reaction conditions employed (Vdecomp= - kdecomp.[H2O2]º). The pseudo-zero order reaction rate constants calculated from the slope of the decomposition plots are shown in Figure 6b.



It can be observed that the pure LaMnO3 perovskite is highly active for H2O2 decomposition. This high activity has been reported in the literature for different Mn perovskites and was assigned to the presence of high oxidation state species, e.g. Mn4+.23,25 It has also been reported that oxygen vacancies on the perovskite surface21 can play an important role for the H2O2 decomposition. Figure 6 shows that, although Feº is completely inactive for the peroxide decomposition, its simple mixture with LaMnO3 caused a significant increase on the activity. Mössbauer spectroscopy and XRD analyses of the mixture did not show any bulky significant change in Feº and LaMnO3. Therefore, this increase in reactivity suggests that a surface reaction should have taken place by the simple contact of the Feº and the perovskite phases, likely by a superficial oxygen transfer from the perovskite to Feº. This oxygen transfer should generate two different species: (i) oxygen vacancies on the perovskite surface and (ii) Fe oxidized species on the Feº surface. Both species can catalyze H2O2 decomposition. Previous work has also shown that a simple mixture of Feº with Fe3O4 or Fe2O3 produced an increase on the activity for H2O2 decomposition.4,5 Therefore, the iron oxides formed might have an important contribution to increase the reaction rate.

On the other hand, after thermal treatment at 200, 400 and 600 ºC, a progressive decrease in the decomposition activity is observed. Although the reasons for this decrease are not clear, one can envisage that at higher temperatures the oxygen transfer from the perovskite should significantly reduce the concentration of Mn4+surf and also Mn3+surf species on the perovskite to produce Mn2+, leading to a decrease on the H2O2 decomposition activity.

The effect of the thermal treatment on the activity of the Feº/LaMnO3 mixtures for the oxidation of organic compounds in aqueous medium with H2O2 was also investigated. In this study, methylene blue (MB) was used as a probe molecule, as it shows several interesting features: (i) it is highly soluble in water, (ii) its oxidation can be simply monitored by spectrophotometric measurements and (iii) it simulates the behavior of textile dyes, which are an important class of industrial contaminant.

The oxidation of methylene blue was monitored by the discoloration rate, which is related to the first oxidation steps to produce non-colored intermediates

These discoloration measurements give important information on the rate of formation of reactive oxidation species. Some processes that could interfere on the reaction monitoring by discoloration, such as adsorption and reduction of the dye by Feº, are minimized by the use of MB, as (i) it is a cationic molecule which decreases its adsorption on the LaMnO3 perovskite and on the iron oxides due to their high PZC (point zero charge) 26 and (ii) MB is not easily reduced by pure iron metal.27

The discoloration plots obtained for pure LaMnO3, pure Feº and the Feº/LaMnO3 mixtures treated at 25, 200, 400 and 600 ºC are shown in Figure 7. A kinetic treatment using a ln At/Ao (where At = absorbance at the time t and Ao= absorbance at time zero) versus time produced fairly straight lines, suggesting that the kinetics of the discoloration process under the reaction conditions employed can be approximated to a first order dependence on the dye concentration Vdiscol=kdiscol.[dye] -1.


It can be observed that pure LaMnO3 shows some activity, producing a discoloration of ca. 10% after 120 min. Pure Feº also showed a similar discoloration activity. However, this discoloration is mainly due to the reduction of methylene blue by Feº, as suggested by blank experiments without H2O2. It is interesting to observe that the simple mixture of LaMnO3 with Feº produced a remarkable increase on the activity for the discoloration. Upon thermal treatment at 200 ºC, no significant difference was observed. On the other hand, after treatment at 400 and 600 ºC, a further increase on the discoloration activity was observed. Atomic absorption analyses for Fe and Mn ions in all solutions after reaction did not show any significant metal content, suggesting the presence of a heterogeneously catalyzed process.

A simple proposal to understand these results is to consider the reaction between the perovskite and Feº to produce Mn2+surf and Fe2+surf species, according to the process:

It is well known that Fe2+surf species are active for the Fenton reaction.4 Previous work in our group4,5 suggested that the effect of grinding Fe3O4 with Feº is the reduction of Fe3O4 to form higher concentrations of Fe2+surf species active for the Fenton chemistry. Also, several works in the literature showed that Mn2+ species, soluble or in solid matrix, are active to promote the Fenton reaction.28-30 Therefore, the oxygen transfer from LaMnO3 to Feº has two important effects for the H2O2 reactions, i.e. it decreases the activity for the undesired peroxide decomposition and it produces M2+ species active for the Fenton chemistry.

Conclusions

The perovskite LaMnO3.15 can transfer oxygen to Feº by an interface reaction producing a partially reduced perovskite LaMnO3-d and highly dispersed iron oxides, mainly Fe3O4, on the Feº surface. As the mixtures Feº/LaMnO3 are treated at 200, 400 and 600 ºC, the reactivity towards H2O2 decomposition decreases, whereas the activity for the oxidation of methylene blue increases. These results can be discussed in terms of a decrease on the concentration of Mn4+surf and Mn3+surf (active for H2O2 decomposition) with an increase on the Mn2+surf and Fe2+surf species, active for the Fenton reaction.

Ackowledgments

The authors are grateful to CNPq, FAPEMIG and CAPES for financial support.

Received: August 19, 2006

Web Release Date: March 1, 2007

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  • *
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  • Publication Dates

    • Publication in this collection
      13 June 2007
    • Date of issue
      Apr 2007

    History

    • Accepted
      01 Mar 2007
    • Received
      19 Aug 2006
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