Jolanta
Kowalska-Kuś
*,
Agnieszka
Held
and
Krystyna
Nowińska
Faculty of Chemistry, A. Mickiewicz University, Grunwaldzka 6, 60-780 Poznań, Poland. E-mail: jolakow@amu.edu.pl; Fax: +48 61 8291505; Tel: +48 61 8291472
First published on 24th October 2012
Fe-ZSM-5 zeolites with a Si/Al ratio equal to 25 and 50, comprising 0.4 wt% of Fe and calcined at different temperatures, were used for oxidative dehydrogenation (ODH) of C2–C4 hydrocarbons. The calcination temperature (873 or 1173 K) slightly influenced hydrocarbon conversion, while it distinctly affected the selectivity towards respective olefins. It stems from the modification of acidic centers present in Fe-ZSM-5 samples. Calcination at 1173 K resulted in the decrease of total acidity, especially of strong Brønsted sites. UV-vis spectra evidenced the presence of very different iron(III) species, while the existence of Fe(II) ions was inferred from IR spectra of the adsorbed NO molecule. IR bands located at about 1840 and 1750 cm−1 indicate the presence of isolated iron(II) species, particularly in Fe-ZSM-5(1173) samples.
The beneficial feature of the N2O–Fe-ZSM-5 system was discovered for the first time in the benzene to phenol hydroxylation process (BTOP),4 which was commercialized by Solutia in 2001. This success encouraged the search for new applications of the N2O–Fe-ZSM-5 system in oxidation reactions and it was successively used for the ODH reaction1–3 as well as for propene epoxidation.5 Despite the fact that a lot of research was involved in characteristics of iron complexes accommodated in high silica zeolite channels, the structure of iron species, responsible for oxidative activity in ODH and BTOP processes, as well as their generation and localization, has still not been fully explained. It has been suggested that high temperature treatment releases iron species accommodated in the zeolite structure6 or induces the penetration of exchanged ions into zeolite channels7 to generate active iron complexes of specific structure, containing Fe(II) species, called α-complexes. According to Dubkov et al.6 and Pirngruber et al.8 Fe(II) ions formation occurs as a result of high temperature treatment, by means of autoreduction of Fe(III) according to the reaction:8
4Fe3+ + 2O2− → 4Fe2+ + O2 |
Fe(II) ions interact with N2O to form active oxygen species, called α-oxygen. The nature of α-oxygen has been studied in detail by Panov and co-workers.6,9–11 The quoted authors indicated that α-oxygen may be formed as a result of N2O decomposition on the iron species accommodated in the zeolite matrix of the MFI structure. α-Oxygen was defined as a negatively charged oxygen radical O−, very reactive to CO and hydrocarbons. However, it was also underlined that α-oxygen cannot be identified with O− anion-radicals, commonly formed on transition metal oxides, as a result of oxygen adsorption. According to Panov et al.11 presence of α-oxygen may be demonstrated by IR spectra in a range of hydroxyl groups. The related band is recorded at 3670 cm−1. This specific OH group is formed as a result of interaction of α-oxygen with water molecule. It was demonstrated that α-oxygen formed on binuclear iron(II) complexes is indispensable for selective benzene to phenol hydroxylation. The activity for this reaction increases as a result of high temperature treatment of Fe-ZSM-5 catalysts,9,12 what is consistent with autoreduction of Fe(III), present in Fe-ZSM-5 channels, to Fe(II) after high temperature calcinations in air or in vacuum.6
It has been shown earlier that N2O decomposition, performed in the presence of transition metal oxides, results in the formation of different oxygen species. Aika and Lundsford13,14 opined that the predominant oxygen species, formed as a result of the contact of N2O with transition metal oxides, is an O− radical (not identical to α-oxygen). It has also been indicated that this radical participates in the oxydehydrogenation reaction, binding hydrogen released from hydrocarbons, following water formation. Accordingly, one can believe that different oxygen species, formed as a result of N2O decomposition, are utilized for the oxidation of different hydrocarbons when N2O is used as an oxidant.
In the presented paper, the effect of high thermal treatment of Fe-ZSM-5 catalysts on their activity in the oxidative dehydrogenation of short alkanes (C2–C4) was estimated. Considering the role of acidic centers for hydrocarbons activation, the concentration and the nature of acidic centers present on the catalysts calcined at 873 and 1173 K were estimated by means of TPD of ammonia and FT-IR spectra of adsorbed pyridine. To obtain some insight into the structure of different iron species in the catalysts under study, FT-IR spectra of adsorbed NO as well as UV-vis spectra were recorded and analyzed.
Symbol of catalyst | Si/Al ratio | Temperature of calcination [K] | Aciditya [μmol g−1] | Cumene conversion [%] |
---|---|---|---|---|
a Calculated on the basis of the area of the high-temperature peak. | ||||
Fe-ZSM-5(25)LT | 25 | 873 | 562 | 90.7 |
Fe-ZSM-5(25)HT | 25 | 1173 | 169 | 49.6 |
Fe-ZSM-5(50)LT | 50 | 873 | 341 | 86.5 |
Fe-ZSM-5(50)HT | 50 | 1173 | 118 | 24.1 |
Fig. 1 FT-IR spectra of pyridine adsorbed on (a) Fe-ZSM-5(25)LT; (b) Fe-ZSM-5(25)HT; (c) Fe-ZSM-5(50)HT. |
Fig. 2 UV-vis spectra of (A) Fe-ZSM-5(25) and (B) Fe-ZSM-5(50) calcined at different temperatures (873 and 1173 K). |
Symbol of catalyst | Si/Al ratio | A 1 [%] | A 2 [%] | A 3 [%] |
---|---|---|---|---|
a Isolated Fe(III) ions in tetrahedral and higher coordination. b Oligomeric Fe(III)xOy clusters. c Aggregated Fe2O3 particles. | ||||
Fe-ZSM-5(25)LT | 25 | 30.5 | 29.5 | 40.0 |
Fe-ZSM-5(25)HT | 25 | 54.3 | 35.5 | 10.2 |
Fe-ZSM-5(50)LT | 50 | 28.6 | 26.8 | 44.6 |
Fe-ZSM-5(50)HT | 50 | 47.2 | 24.3 | 28.5 |
NO adsorption on Fe-ZSM-5 zeolites, performed at room temperature and monitored by IR spectroscopy, indicated the presence of the bands in the range of 1600–2200 cm−1. Considering that the spectra were presented after earlier subtraction of the untreated catalyst, the bands may be considered as characteristic for complexes between iron ions and NO molecules.
The strongest band recorded in the spectra of NO adsorbed on Fe-ZSM-5(LT) was located at 2133 cm−1 (Fig. 3). According to earlier papers,25–27 the band at 2133 cm−1 should be attributed to NO+ groups occupying the Brønsted acid sites. This suggestion was confirmed by disappearance of the band at 3610 cm−1, corresponding to strong Brønsted acid sites, after contact of NO with Fe-ZSM-5(LT) (Fig. 4). The band at 3745 cm−1, related to silanol groups, was still present. Short evacuation resulted in removal of the band at 2133 cm−1 and in restoration of the band of OH groups at 3610 cm−1. Contact of NO with Fe-ZSM-5(HT) resulted in the formation of only a very weak band at 2133 cm−1 which is consistent with low Brønsted acidity of that sample (Fig. 5). Interestingly, the very weak band at about 3670 cm−1 has also been recorded on the fresh Fe-ZSM-5(50)LT catalyst indicating the presence of α-oxygen.11 The following contact with NO removes this band indicating the interaction of NO with the Fe3+–OH group. According to Mihaylov et al.20 and Blain-Aube et al.31 an interaction of NO with Fe3+–OH results in reduction of Fe3+ and formation of Fe2+ ions resulting in the formation of a Fe2+–NO complex characterized with the IR band at about 1890 cm−1. Indeed, the weak band at about 1890 cm−1, formed as a result of contact with NO, has been noted (Fig. 5). According to quoted papers20,31 the initially formed mononitrosyl complex may be transformed to polynitrosyl. This transformation, which is an activated process, may occur considering the location of α-sites in the straight channels of the zeolite.
Fig. 3 FT-IR spectra of Fe-ZSM-5(50)LT; (a) spectrum registered immediately after NO adsorption at RT, (b) after 30 min, (c) after evacuation at RT. |
Fig. 4 FT-IR spectra of Fe-ZSM-5(50)LT in the range of OH vibrations; (a) initial zeolites matrix, before NO adsorption, (b) after adsorption of NO at RT, (c) after evacuation at RT. |
Fig. 5 FT-IR spectra of Fe-ZSM-5(50)HT; (a) spectrum registered immediately after NO adsorption at RT, (b) after 30 min, (c) after evacuation at RT. |
The bands indicating the interaction of NO with iron ions become much stronger and distinct when recorded for the sample calcined previously at 1173 K (Fig. 5). The origin of the strongest band, located at 1878 cm−1, was discussed in a number of papers.19–22,26–30 and their assignment is still ambiguous. Nechita et al.30 and also Zecchina et al.19 suggest the attribution of this band to the nitrosyl group bonded to Fe(III) ions. On the other hand, the analysis of DFT calculation32 as well as Mössbauer spectra31 delivered the evidence pointing at the attribution of this band to the nitrosyl group adsorbed rather to Fe(II) ions. Blain-Aube et al.31 and Mihaylov et al.20 assumed that FT-IR bands of adsorbed NO, recorded in the range of 1870–1880 cm−1, should be attributed to mononitrosyl groups of Fe(II)(NO), however, the location of relevant iron ions in zeolite channels is still under discussion. Analyzing results presented in Fig. 3 and 5 one can conclude that the band at 1878 cm−1 is much stronger in the spectra recorded after NO contact with Fe-ZSM-5 calcined at 1173 K, when compared to the bands of NO-Fe-ZSM-5(873). Considering that high temperature calcination of Fe-ZSM-5 catalysts brings about iron autoreduction with the formation of additional Fe(II) ions,6,8 the simultaneous increase in the IR band (1878 cm−1) intensity confirms the attribution of that band to nitrosyl groups connected to Fe(II) ions. The assignment of the band at about 1880 cm−1 to Fe(NO) complexes was also suggested by Mul et al.33 and by Pirngruber and Pieterse.29 However, the contribution of the nitrosyl group bonded to Fe(III) ions cannot be ruled out completely.19,30,34 The IR band at 1878 cm−1, recorded for the sample Fe-ZSM-5(HT), is accompanied by a weakly marked shoulder at 1890 cm−1. The weak shoulder at 1890 cm−1 is attributed to the mononitrosyl group located on Fe(II) ions generated as a result of reduction of Fe3+–OH groups accommodated on α-sites. On the other hand, it was suggested that this center is located in the neighborhood of Al Lewis sites, possibly formed as a result of framework dealumination.35 Some removal of Al(III) ions may be expected as a result of high temperature calcination.
The attribution of two weak bands at about 1840 and 1820 cm−1 was discussed in the literature.27,31,33,36 The weak band at 1820 cm−1 recorded as a result of NO contact with Fe-ZSM-5(LT) samples was noted when NO was adsorbed on the Fe/SiO2 catalyst and it was attributed to NO relative to Fe(II) ions formed on Fe2O3 particles.27 If NO was adsorbed on Fe-ZSM-5(HT) (Fig. 5), the band at 1820 cm−1 was not recorded. The band at 1840 cm−1, according to Mul et al.,33 as well as Joyner and Stockenhuber,36 has been assigned to nitrosyl groups located on isolated Fe(II) ions. According to Hadjiivanov et al.20,26 the weak bands at about 1840 and 1750 cm−1 should be attributed to Fe(II)(NO) species formed on isolated Fe(II) sites. Both bands were recorded on Fe-ZSM-5 calcined at 873 and 1173 K, which may indicate the presence of some amount of isolated Fe(II) species.
Interaction of NO with Fe-ZSM-5 at RT resulted also in the appearance of the bands at 1575 and 1625 cm−1. Prolongation of the contact time with NO at RT does not change the location of these bands, however, influences their intensities. Evacuation of Fe-ZSM-5 samples at RT results in a weak band at 1575 cm−1 and a distinct, strong band at 1640 cm−1 (Fig. 3 and 5). Hensen et al.37 analyzing the effects of NO adsorption on Fe-ZSM-5 zeolites suggest that Fe–O–Al iron species formed, thanks to partial dealumination (by thermal treatment or by steaming), are responsible for the formation of the bands at about 1640 cm−1 as a result of contact with NO. The higher intensity of the bands on Fe-ZSM-5(HT) samples confirms this interpretation, considering the more probable dealumination as a result of high thermal treatment. According to Pirngruber and Pieterse29 and also Lobree et al.28 the presence of the bands in the range of 1550–1650 cm−1 indicates the formation of bridging nitrate species strongly adsorbed on Fe(II) ions. This kind of bands was observed as a result of catalyst contact with a NO + O2 mixture.37 Considering that only oxygen free NO was introduced into a vacuum cuvette, oxygen may stem from NO to N2O transformation. The band of low intensity at 2224 cm−1 (after gas phase subtraction) indicates the presence of N2O in the system and may confirm the occurrence of the following reactions:
2NO → N2O + 1/2O2 |
3NO ↔ N2O + NO2 |
Interestingly, evacuation of the samples indicates a different stability of recorded species. Majority of the bands, originating from NO adsorption, disappears after short evacuation at RT, while the band at 1625 cm−1 is shifted to1640 cm−1 and becomes even stronger. High stability of nitrate species characterized with the band at about 1640 cm−1 was indicated in a number of papers.20,29,33,38 An increase in the intensity of the band attributed to NO2 species after mild evacuation or as a result of purging with helium has also been observed in the quoted papers. However, one should remember that traces of water may also influence the band at about 1640 cm−1. According to Pirngruber and Pieterse,29 two different forms of NO2, characterized with the bands in the region of 1500–1640 cm−1, may be indicated. The band at 1575 cm−1, recorded after contact of Fe-ZSM-5 with NO, may be treated as intermediate in the formation of gas-phase NO2. This band almost disappears after short evacuation. The following adsorption of gas NO2 on the sites released by desorption of nitrosyl groups cannot be ruled out. According to Mul et al.33 increase in the intensity of the bands assigned to nitrate species with simultaneous decrease of the intensity of the bands of adsorbed NO indicates that adsorption of NO2 species may occur on the same centers.
The analysis of IR spectra of adsorbed NO and UV-vis spectra recorded for Fe-ZSM-5 samples calcined at 873 and 1173 K indicates the presence of both isolated and dimeric38 iron complexes, larger oligomeric iron clusters and also small amount of Fe2O3 particles.
Fig. 6 The effect of the reaction temperature on the initial activity of the Fe-ZSM-5(50)HT catalyst in ethane (A) and propane (B) ODH reaction. |
Fig. 7 Effect of thermal treatment (873 K, 1173 K) of the Fe-ZSM-5(50) catalyst on its selectivity in the ODH reaction of n-butane and i-butane (reaction temperature: 673 K). |
Prolongation of reaction time resulted in some, but not significant, deactivation of catalysts (Fig. 8). If ethane was oxidized, the ethane conversion was almost stable for more than 3 h on stream (Fig. 8A). Selectivity to ethene showed a small, gradual increase at the expense of CO2 formation (Fig. 8B). Along with time on stream some increase in selectivity towards olefins was also recorded for propane and butanes (Fig. 8B) oxidation reactions, however, the selectivity towards cracking products was still high. The initial activity was recorded after 15 min on stream, when the temperature of the reaction was fully stabilized. It has been reported earlier39 that fast deactivation of iron modified zeolites ZSM-5, applied as catalysts for the propane ODH reaction, occurs during the very first minutes of time on stream (in the quoted paper the initial activity was measured after 2 min on stream) and after about 20 min., propane conversion was almost stable, which is consistent with our observation. Deactivation results from coke formation over acidic sites present in catalysts. The regeneration procedure of spent catalysts restores the initial activity utterly and the catalysts could be applied for a few times with full activity restoration (Fig. 9).
Fig. 8 Change of the conversion of hydrocarbons (A) and selectivity towards olefins (B) on the Fe-ZSM-5(50)HT catalyst with time on stream (reaction temperature: 673 K). |
Fig. 9 Comparison of the initial activity of Fe-ZSM-5(50)HT and activity after regeneration in N2O or O2 (4 h, 823 K). |
It is commonly accepted that acidic centers are responsible for coke formation. On the other hand, according to Derouane et al.40 and also to other authors,41,42 Brønsted acidic centers of a middle strength play an important role in hydrocarbons activation. One could expect that modification of surface acidity and elimination of strong Brønsted acidic sites should limit both selectivity towards cracking products and coke deposit formation and simultaneously enhance the olefin productivity. Modification of zeolite acidity could be performed by introduction of alkaline cations16,43 or by high thermal treatment of iron modified zeolite. It has been shown that introduction of alkaline cations into Fe-ZSM-5 catalysts, on one hand, enhances selectivity towards olefins but, on the other hand, reduces considerable hydrocarbons conversion.44 The beneficial effect of high thermal treatment of Fe-ZSM-5 on its catalytic activity for the BTOP reaction was reported by Sobolev et al.9 and also was indicated in our earlier paper.12 It has been shown that high thermal treatment (at 1173 K) of the Fe-ZSM-5 catalyst modifies iron ions distribution,29 influences the iron oxidation step8 and also diminishes the catalyst acidity.9 These results stimulated the application of high thermal treated Fe-ZSM-5 catalysts in the light paraffins ODH reaction. However, in contrast to results reported for BTOP, the effect of high thermal treatment of Fe-ZSM-5 catalysts on light paraffins susceptibility to oxidation appeared insignificant and hydrocarbons oxidative conversion over Fe-ZSM-5 calcined at 873 and 1173 K differed slightly (Fig. 10). These results suggest that iron complexes involved in BTOP and ODH reactions are not the same.
Fig. 10 Effect of thermal treatment (873 K, 1173 K) of the Fe-ZSM-5(50) catalyst on its activity in the light paraffins ODH reaction (reaction temperature: 673 K). |
Even though thermal treatment of Fe-ZSM-5 catalysts does not affect hydrocarbons oxidative conversion, it influences significantly the selectivity to different oxidation products, which can be an effect of modification of zeolite acidity by high temperature calcination (Fig. 7 and 11). Increase in the temperature of calcinations (from 873 to 1173 K) resulted in a certain rise of selectivity to ethene and some decrease in COx formation in the ethane ODH reaction (Fig. 11). On the other hand, high temperature treatment influences significantly the selectivity to different products formed from propane and butanes oxidation. Both propane and butanes ODH reaction resulted in a complicated mixture of products being an effect of the presence of iron species of different structure showing an oxidative character and also acidic centers resulting in acid catalyzed transformation of hydrocarbons (Fig. 7 and 11). Fe-ZSM-5(LT) catalyzed the cracking process to a considerable extent (60 and 50% in the case of propane and n-butane respectively). Calcination at 1173 K resulted in lowering of Brønsted acidity (Table 1, Fig. 1) and as a consequence in a reduction of selectivity towards cracking products. Simultaneously, an increase in selectivity, as well as yield to respective olefins, has been noted. Considering the conversion of light paraffins, performed over Fe-ZSM-5 calcined at 873 and 1173 K (Fig. 10), and related selectivity to olefins (Fig. 7 and 11) one can conclude that the modification of the samples acidity by thermal treatment, on one hand, still provides sufficient number of middle acidic centers, indispensable for alkanes activation, while, on the other hand, reduces the cracking direction in the ODH reaction and increases selectivity to olefins.
Fig. 11 Effect of thermal treatment (873 K, 1173 K) of the Fe-ZSM-5(50) catalyst on its selectivity in the ODH reaction of ethane and propane (reaction temperature: 673 K). |
The oxidative dehydrogenation of hydrocarbons is influenced by chain length, which results from significant diversity of susceptibility to the oxidation reaction depending on the chemical structure. The highest oxidation activity was noted for n-butane (Fig. 10). High susceptibility to the oxidation reaction of n-butane, when compared to C2 and C3, results from the lower energy of the C–H bond of C4 hydrocarbons.45,46 According to quoted authors, the C–H bond in n-butane is characterized with energy equal to 401 kJ mol−1, while for the C–H bond in ethane, the energy of this bond was calculated to be 420 kJ mol−1. Elongation of the hydrocarbons chain length results in lowering of the dissociation energy of the C–H bond and as a consequence in lower energy of hydrogen removal. The activity for isobutane ODH was, however, clearly lower, which probably stems from geometric limitation, considering the size of the isobutane molecule. The diameter of isobutane is about 0.50 nm,47 while the diameter of ZSM-5 channels is about 0.55 nm.48 Penetration of isobutane inside the channels occurs very slowly and the reaction proceeds mainly on the outside wall of the zeolite catalyst and results mainly in CO2 formation. When the V/MCM-41 catalyst, with a pore diameter of about 2.7 nm, was used for alkanes C2–C4 oxidative dehydrogenation,49 no diffusion limitation was noted and alkanes oxidative conversion follows the order C2 < C3 < n-C4 ≤ iso-C4.
HT treatment of iron modified ZSM-5 catalysts results in partial reduction of iron(III), as well as influences the iron species distribution. The transformation of iron species can be concluded from UV-vis spectra and from IR spectra of adsorbed NO. According to earlier papers,21,22 UV-vis spectra allow the estimation of the presence of isolated and oligonuclear iron(III) species as well as the formation of oxide like clusters. On the grounds of discussion presented by Pérez-Ramírez et al.18,50 and also by Schwidder et al.21 one can accept that extinction coefficients for UV-vis bands describing the different iron species show the same order of magnitude. Therefore, the values of related areas may be treated as related to the contribution of different specific iron(III) species noted in the catalyst. Analyzing the results presented in quoted papers,18,50 one can deduce that the method of introduction of iron ions influences significantly the distribution of different iron species. When iron ions are introduced into the structure during the hydrothermal synthesis following their release by calcination or steaming, mainly isolated iron species are formed.50 Ionic exchange from aqueous solution, as well as sublimation method, results mainly in oligomeric species formation, while contribution of isolated iron species is lower. The exchange procedure brings about the formation of some amount of bigger oxide clusters.50 Estimation of contribution of specific iron species (Table 2), carried out on the grounds of areas related to specific UV-vis bands, indicates that HT treatment increases the contribution of isolated iron species, while the contribution of oligomeric complexes changes insignificantly. The relatively high attendance of bigger iron clusters in Fe-ZSM(LT) decreases with high temperature calcination. On the basis of an earlier XPS study7 we can believe that clusters generated as a result of ionic exchange from aqueous solution are located at least partly on the external surface of the zeolite matrix. High temperature calcination stimulates penetration of iron ions inside the channels. It results in the formation of isolated iron species and simultaneously reduced participation of large clusters. Considering that contribution of oligomeric iron species remains practically stable for both temperature of calcinations and simultaneously, HT treatment influences hydrocarbons conversion in the ODH reaction only slightly it seems highly probable that oligomeric iron complexes play an essential role in ODH of light alkanes. Kondratenko and Pérez-Ramírez51 analyzing the activity of Fe-silicalite comprising mainly isolated iron species and Fe-ZSM-5 with oligonuclear iron complexes have also suggested the oligonuclear iron species as favorable for ODH of propane.
It has been shown earlier6,8 that HT treatment of the Fe-ZSM-5 system results not only in redistribution of iron ions but also brings about partial reduction of iron(III) to iron(II), which was confirmed by IR spectra of adsorbed NO which could also be inferred from the lower intensity of UV-vis spectra of Fe-ZSM-5(HT) samples when compared to related Fe-ZSM-5(LT). A study on BTOP performed over the Fe-ZSM-5 system with N2O as an oxidant indicated the important role of iron(II) species generated in the applied catalyst. The autoreduction process of Fe(III) ions as a result of HT treatment has been reported by Dubkov et al.6 and was related to reduction of binuclear iron species operating as isolated iron α-sites. The susceptibility of isolated iron species to reduction was also suggested by Pirngruber et al.8 Considering the insignificant effect of HT treatment on alkanes conversion in the ODH reaction (Fig. 10) one can believe that the presence of iron(II) species stabilized in the Fe-ZSM-5 zeolite structure influences slightly the activity of this system for the studied reaction.
High temperature treatment of Fe-ZSM-5 samples stimulates partial reduction of Fe(III) to Fe(II), as well as influencing the distribution of iron species. Alteration of the iron species structure was confirmed by decrease in the UV-vis band intensity and the change in the relationship between bands characterizing the iron species in specific arrangement (isolated and dimeric, oligomeric species and oxide aggregates). The correlation of contribution of different iron species generated in Fe-ZSM-5 with oxidative activity in the ODH reaction indicates the important role of oligonuclear iron species in the reaction under study.
Generation of iron(II) complexes in Fe-ZSM-5(HT) samples was confirmed both by lowering in the intensity of UV-vis bands and from IR spectra of adsorbed NO. It seems, however, that the presence of previously reduced iron species does not affect the oxidative activity for the ODH reaction significantly.
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