Reverse Atom Transfer Radical Polymerization of Methyl Methacrylate in Room-Temperature Ionic Liquids HONGYANG MA, XINHUA WAN, XIAOFANG CHEN, QI-FENG ZHOU Department of Polymer Science and Engineering, College of Chemistry and Molecular Engineering, Peking University, Beijing 100871, China Received 14 August 2002; accepted 14 October 2002 ABSTRACT: The reverse atom transfer radical polymerization (ATRP) of methyl methacrylate (MMA) was successfully carried out in 1-butyl-3-methylimidazolium hexafluorophosphate with 2,2⬘-azobisisobutyronitrile/CuCl2/bipyridine as the initiating system, which had been reported as not able to promote a controlled process of MMA in bulk. The living nature of the polymerization was confirmed by kinetic studies, endgroup analysis, chain extension, and block copolymerization results. The polydispersity of the polymer obtained was quite narrow, with a weight-average molecular weight/ number-average molecular weight ratio of less than 1.2. In comparison with other reverse ATRPs in bulk or conventional solvents, a much smaller amount of the catalyst was used. After a relatively easy removal of the polymer and residue monomer, the ionic liquid and catalytic system could be reused without further treatment. © 2002 Wiley Periodicals, Inc. J Polym Sci Part A: Polym Chem 41: 143–151, 2003 Keywords: reverse atom transfer radical polymerization; ionic liquid; methyl methacrylate; 1-butyl-3-methylimidazolium hexafluorophosphate ATRP; block copolymers; living polymerization INTRODUCTION It is a great challenge to reduce the amount of volatile organic compounds used in chemical and industrial processes. Room-temperature ionic liquids have been considered and used as a new generation of green solvents for a number of organic reactions,1–9 such as alkylation, hydrogenation, Diels–Alder addition, Suzuki cross-coupling reaction, and butadiene dimerization, because they are nonvolatile, nonflammable, and recyclable. However, only in the past several years has polymerization been carried out in room-temperature ionic liquids. Examples include the coordination polymerization of olefins via Ziegler–Natta catalysts, the oxidative dehydropolycondensation Correspondence to: X. Wan (E-mail: xhwan@pku.edu.cn) Journal of Polymer Science: Part A: Polymer Chemistry, Vol. 41, 143–151 (2003) © 2002 Wiley Periodicals, Inc. of benzene to polyphenylene, and the enzymatic synthesis of polyesters.10 –17 Recently, free-radical polymerizations of vinyl monomers were also reported.18,19 Atom transfer radical polymerization (ATRP) provides an efficient new technique for preparing well-defined polymers.20 –22 The presence of transition-metal-catalyzed reversible atom transfer steps, which is responsible for the overall control of the process, is the main difference between ATRP and conventional free-radical polymerization.23 The properties of the catalysts are usually manipulated by the use of different kinds of organic ligands, such as bipyridine (bipy) and other polydentate N-containing compounds. Sometimes, high level of catalysts and ligands are required to enable an acceptable polymerization rate.24,25 As a result, the removal and recycling of the catalytic materials become important. It is expected that using ionic liquids as polymeriza143 144 MA ET AL. tion solvents will make this relatively easy to achieve.26 –28 Carmichael et al.26 first took advantages of roomtemperature ionic liquids as ATRP media. They performed the copper(I)-mediated ATRP of methyl methacrylate (MMA) in 1-butyl-3-methylimidazolium hexafluorophosphate ([bmim][PF6]). The rate of reaction was increased, as observed in other polar/coordinating solvents, and the polymers obtained had narrow polydispersities and were easily separated from the catalyst. Sarbu and Matyjaszewski27 studied the ATRP of MMA in ionic liquids containing different counterions. No organic ligand was needed for the iron-catalyzed ATRP of MMA in the ionic liquids used. However, when copper(I) was used as a catalyst, an organic ligand was required for the ATRP of MMA in ionic liquids with a halide or carbonate anion, but not with a phosphonate anion. In addition, the catalyst was successfully regenerated after the removal of the polymer and unreacted monomer. Biedroń and Kubisa28 reported the influence of substituents (methyl, butyl, hexyl, and dodecyl) on the ATRP of acrylates in [bmim][PF6] with CuBr/pentamethyldiethylenetriamine as a catalyst. Methyl acrylate (MA) dissolved in [bmim][PF6] and formed a homogeneous polymerization medium. The obtained poly(methyl acrylate) had a number-average molecular weight (Mn) close to the calculated value and a relatively narrow polydispersity. For higher acrylates, although they did not dissolve in [bmim][PF6], ATRP was achieved by efficient stirring facilitating the transfer of the initiator, monomer, and propagation chains between two phases. However, to the best of our knowledge, no reverse ATRP has been approached in ionic liquids. In this article, we report on the reverse ATRP of MMA in [bmim][PF6] with 2,2⬘-azobisisobutyronitrile (AIBN)/CuCl2/bipy as the initiating system. In reverse ATRP, transition-metal compounds at their higher oxidation states are used as catalysts, and conventional initiators such as AIBN and benzoyl peroxide are used in place of organic halides.29 Therefore, the easy oxidation of the catalyst (lower oxidation-state transition-metal compounds) and the toxicity of halide initiators in conventional ATRP are avoided. Initiating systems, including AIBN/FeCl3/PPh3,30 tetraphenyl-1,2-ethanediol/ FeCl3/PPh3,31 AIBN/CuBr2/4,4⬘-di(5-nonyl)-2,2⬘bipyridine, 32 and diethyl 2,3-dicyano-2,3-di(p-toyl)succinate/CuCl2/bipy,33 have been developed to mediate the reverse ATRP of MMA. However, uncontrolled and heterogeneous reverse ATRP was observed for MMA with CuCl2 as a catalyst and with bipy as a complexing ligand.29 One possible reason was that the concentration of CuII species in the reaction mixture was low on account of the poor solubility of the catalyst. Another was that the deactivation rate of growing MMA chains was not fast enough in comparison with poly(methyl methacrylate) (PMMA) propagation. We found that the same initiating system could promote the reverse ATRP of MMA in a well-controlled manner if [bmim][PF6] was used as a solvent. In addition, the solvent and catalytic system could be relatively easily recycled and reused after polymerization. EXPERIMENTAL Materials 1-Methylimidazole (99%; Acros), 1-chlorobutane [99%, analytical reagent (AR); Beijing Chemical Co.], hexafluorophosphoric acid (60 wt % solution in water; Acros), and bipy (AR; Beijing Chemical Co.) were used as purchased. MMA (AR; Beijing Chemical Co.) was first purified with a silica column for the removal of the inhibitor and then vacuum-distilled from CaH2. AIBN (AR; Wuhan Chemical Co.) was recrystallized from ethanol and dried in vacuo. Tetrahydrofuran (THF) and chlorobenzene (AR; both from Beijing Chemical Co.) were distilled over CaH2. CuCl (AR; Beijing Chemical Co.) was purified according to a literature method.33 CuCl2 (99%; Beijing Chemical Co.) was dried in an oven at 80 °C before use. Other solvents and reagents were used without further purification, except as noted. Synthesis of [bmim][PF6] The ionic liquid [bmim][PF6] was prepared according to a literature procedure.34 To a dry glass tube, 8.2 g (0.1 mol) of 1-methylimidazole and 11.4 mL (0.13 mol) of 1-chlorobutane were added. After three freeze–pump–thaw cycles, the tube was sealed in vacuo and placed in an oil bath thermostated at 70 °C. The reaction continued for 3 days, and a pale yellow, viscous liquid appeared. After it cooled to 0 °C, a white solid, 1-butyl-3methylimidazolium chloride, was obtained. The solid was washed three times with ethyl acetate and then was dissolved in deionized water. To the aqueous solution cooled by an ice bath, 19 mL of hexafluorophosphoric acid (60% water solution, REVERSE ATRP IN ROOM-TEMPERATURE IONIC LIQUIDS 0.13 mol) was added slowly. After the mixture was stirred overnight, an orange, viscous liquid was obtained. The liquid was diluted with dichloromethane and washed with deionized water until it became neutral. The ionic liquid was dried in vacuo at 70 °C after the evaporation of dichloromethane. 145 HT2, HT3, and HT4 -Styragel columns with THF as an eluent (1.0 mL/min) at 35 °C. Calibration was made with standard polystyrene (PSt). The 1H NMR spectrum was taken at 25 °C on a Bruker ARX400 NMR spectrometer with chloroform-d as a solvent and with tetramethylsilane (TMS) as an internal reference. Polymerization A dry glass tube was charged with CuCl2, MMA, bipy, AIBN, and [bmim][PF6]. The mixture was degassed by three freeze–pump–thaw cycles and sealed in vacuo. The tube was placed in a water bath at the desired temperature maintained by a thermostat. After an expected time, the tube was placed in an ice bath to stop the reaction. The reaction mixture was diluted with THF and added dropwise into methanol. After filtration and washing three times with methanol, followed by drying under infrared light for 24 h, PMMA was obtained. The conversion of the monomer was determined gravimetrically. Chain Extension Chain extension was performed with the conventional ATRP technique at 95 °C. To a polymerization tube, 0.050 g (9.62 ⫻ 10⫺3 mmol) of the PMMA macroinitiator, 0.516 g (5.16 mmol) of MMA, 0.008 g (8.08 ⫻ 10⫺2 mmol) of CuCl, 0.072 g (0.46 mmol) of bipy, and 1.544 g of chlorobenzene were added. After three freeze–pump–thaw cycles, the tube was sealed in vacuo and placed in a water bath at 95 °C for 7.5 h. The chain-extended PMMA was obtained after precipitation in methanol, filtration, washing, and drying under infrared light for 24 h. Block Copolymerization The block copolymerization was carried out with a method similar to that used for chain extension except that styrene was used in place of MMA. In addition, the reaction temperature, 120 °C, was higher than that in chain extension. Measurements The Mn and molecular weight distribution [weight-average molecular weight/number-average molecular weight (Mw/Mn)] values of PMMA were measured on a Waters 2410 gel permeation chromatography (GPC) instrument with a set of RESULTS AND DISCUSSION Reverse ATRP of MMA The reverse ATRP of MMA initiated by AIBN combined with CuCl2, complexed by bipy, was carried out in [bmim][PF6] at 60, 70, and 90 °C. The [MMA]/[AIBN]/[CuCl2]/[bipy] molar ratio was 100:1:2:6. Under these conditions, all the reagents, including the initiator, transition metal, ligand, monomer, and polymer, were soluble in [bmim][PF6], and the reaction medium remained homogeneous throughout the polymerization. The results are summarized in Table 1. Figure 1 shows the relationship between ln([M]0/[M]) and the reaction time. The linear first-order kinetic plots indicate that the radical concentration was constant during the polymerization. However, the induction period was observed for the polymerizations carried out at 60 and 70 °C but not at 90 °C. The higher the reaction temperature was, the shorter the induction period was. This might be rationalized by the fact that AIBN decomposed more slowly at a lower temperature. During early stages of the polymerizations at 60 and 70 °C, the primary radicals generated from AIBN reacted with CuCl2 completely to form dormant species. At the same time, the concentration of the formed dormant species and CuCl/bipy complex was too low to produce enough propagating species for PMMA chain growth at a noticeable rate through a reversible redox process. Therefore, the propagation of PMMA chains was inhibited or retarded. The plots of Mn and Mw/Mn of the resulting PMMA against conversion are depicted in Figure 2. With an increase in the monomer conversion, the molecular weight increased linearly, and the polydispersity decreased slightly at first and then remained almost unchanged. The values of Mw/Mn were less than 1.2, implying a well-controlled polymerization process. Figure 3 shows the GPC curves of the obtained polymers. All are narrow and symmetrical. 146 MA ET AL. Table 1. Reverse ATRP of MMA in [bmim][PF6] at Different Temperatures Runa Temperature (°C) Time (h) Conversion (%) 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 60 60 60 60 60 60 70 70 70 70 70 70 90 90 90 90 90 90 11.6 14.3 22.5 24.4 26.3 30.8 6.0 7.5 8.0 9.5 11.7 12.5 0.5 0.8 1.3 1.9 2.3 2.6 12.56 22.66 47.53 56.67 66.67 87.33 26.54 44.9 51.91 64.46 79.49 89.41 20.34 45.73 63.57 74.11 77.08 81.04 Mn;th ⫻ 10⫺3 b Mn GPC ⫻ 10⫺4 c Polydispersity Index f 0.65 0.86 1.88 2.03 2.23 2.62 1.26 1.53 1.53 1.76 1.77 2.03 0.44 0.81 1.43 1.60 1.62 1.65 1.19 1.19 1.08 1.08 1.08 1.08 1.11 1.09 1.09 1.08 1.09 1.08 1.18 1.17 1.08 1.08 1.08 1.09 9.69 13.14 12.66 13.94 14.93 16.68 10.55 14.71 16.99 18.3 22.43 22.02 23.18 28.27 22.24 23.19 23.77 24.55 0.63 1.13 2.38 2.83 3.33 4.37 1.33 2.25 2.60 3.22 3.97 4.47 1.02 2.29 3.18 3.71 3.85 4.05 MMA ⫽ 0.50 g; [bmim][PF6] ⫽ 1.50 g; [MMA]/[AIBN]/[CuCl2]/[bipy] ⫽ 100:1:2:6. Calculated based on Mn;th ⫽ 100 ⫻ (⌬[MMA]/2[AIBN]0) ⫻ conversion. c By GPC with polystyrene standards. a b It was reported that the heterogeneous AIBN/ CuCl2/bipy-catalyzed ATRP of MA and MMA in bulk proceeded in an uncontrolled manner.29 The poor solubility of CuCl2 and the low deactivation rate of growing radicals by CuCl2 were considered to be responsible for the gelation, for the much higher molecular weight than calculated, and for the broader molecular weight distribution observed. The controlled radical process in [bmim][PF6] with the same catalytic system as in Figure 1. Dependence of ln([M]0/[M]) on the reaction time at different temperatures. For the polymerization conditions, see Table 1. ref. 29 may be ascribed to the good solubility of the catalyst complex in the ionic liquid. In such a case, the concentration of CuII was much higher than that in a heterogeneous system when the same amount of CuCl2 was added. As can be seen in Table 1, the molecular weights measured by GPC, Mn,GPC, were much higher than the calculated values, Mn,th, according to Mn,th ⫽ 100 ⫻ (⌬[MMA]/2[AIBN]0) ⫻ conversion. This meant the initiator efficiency, f ⫽ Mn,th/Mn,GPC, of AIBN in the ionic liquid was lower than that in conventional organic solvents. A similar behavior was observed by Sarbu and Matyjaszewski,27 who attributed it to the relatively low concentration of the catalyst in the organic phase and the very high concentration of the catalyst in the ionic phase. However, the concentration difference of the catalyst in two separate phases could not account for the low initiator efficiency in our experiments because all the reagents were soluble in [bmim][PF6] and a homogeneous solution was formed. The viscosity of [bmim][PF6] was higher than that of bulk MMA or a solution of MMA in conventional organic solvents. Therefore, the low initiating efficiency was most likely due to the cage effect of [bmim][PF6] molecules. Because of the intense REVERSE ATRP IN ROOM-TEMPERATURE IONIC LIQUIDS 147 End-Group Analysis of the Obtained PMMA The chemical structure of the obtained PMMA was characterized by 400-MHz 1H NMR spectroscopy. Figure 4 showed the representative 1H NMR spectrum of the well-defined PMMA with an Mn value of 1.23 ⫻ 104 and an Mw/Mn value of 1.08. The signals at 0.84 –1.26, 1.38 –2.08, and 3.42–3.83 ppm were attributed to the protons of ␣-methyl groups (peak a), methylene groups (peak b), and methoxy groups (peak c), respectively. Moreover, the absorptions at 3.78 [peak c()], 2.50 [peak b()], and 1.26 ppm [peak a()] proved the presence of the end group, OCH2CCl(CH3)(COOCH3). Figure 2. Mn and Mw/Mn versus conversion. For the polymerization conditions, see Table 1. confinement of the highly viscous solvent, some side reactions of the primary radicals might have occurred, and as a result, the concentration of the initiator radicals was depleted. This was consistent with our observations that much less catalyst was needed for reverse ATRP in an ionic liquid than in bulk or conventional organic solvents. This is described in detail in the following sections. Figure 3. GPC traces of PMMA. For the polymerization conditions, see Table 1. 148 MA ET AL. Figure 5. GPC curves of PMMA before and after chain extension via ATRP at 95 °C (MMA ⫽ 0.516 g, chlorobenzene ⫽ 1.544 g, CuCl ⫽ 0.008 g, bipy ⫽ 0.072 g, PMMA macroinitiator ⫽ 0.050 g, time ⫽ 7.5 h). Figure 4. 1H NMR spectrum (CDCl3, 400 MHz) of PMMA polymerized in an ionic liquid at 70 °C (Mn ⫽ 1.23 ⫻ 104 g/mol, Mw/Mn ⫽ 1.08). ment, except that styrene was used in place of MMA. The GPC curves are shown in Figure 6. The GPC curve of the copolymer obviously shifted to a higher molecular weight after copolymerization. Effects of the CuCl2 Content on the Polymerization of MMA The Mn value of PMMA was estimated from the ratio of the methylene protons (b) and the terminal one [b()]. The Mn,NMR value (1.33 ⫻ 104) was close to Mn,GPC (1.23 ⫻ 104). Another proof of the well-defined PMMA with a chlorine end substituent was provided. Chain Extension with MMA The catalyst CuCl2 played an important role in reverse ATRP. If CuCl2 was absent or not enough was added, the polymerization proceeded in an uncontrolled manner. However, the excess CuCl2 would not only slow the polymerization rate significantly but also could contaminate the resultant polymer. The activity of CuCl2 depended dramatically on its solubility in the polymerization medium.29 In the heterogeneous reverse ATRP of The chain extension was made by the conventional ATRP of MMA in chlorobenzene, with chlorine-ended PMMA as a macroinitiator, with CuCl as a catalyst, and with bipy as a complexing ligand. The GPC curves of PMMA before and after chain extension are displayed in Figure 5. The increase in the molecular weight was clearly demonstrated. In addition, the Mn,th/Mn,GPC value was 0.98, indicating the expected chemical structure and a high initiating efficiency of the macroinitiator. Block Copolymerization with Styrene The block copolymerization with styrene was carried out with a method similar to that employed in the aforementioned chain-extension experi- Figure 6. GPC curves of the PMMA macroinitiator and resulting PMMA-b-PSt via ATRP at 120 °C (styrene ⫽ 0.520 g, PMMA macroinitiator ⫽ 0.100 g, CuCl ⫽ 0.030 g, chlorobenzene ⫽ 1.839 g, bipy ⫽ 0.035 g, time ⫽ 39 h). REVERSE ATRP IN ROOM-TEMPERATURE IONIC LIQUIDS 149 Table 2. Reverse ATRP of MMA in [bmim][PF6] at Different [AIBN]/[CuCl2] Ratios Entrya [AIBN]/ [CuCl2] Mn (⫻ 10⫺4) Mw/Mn Yield (%) 1 2b 3 4 5 6 7 8 9 1:0 1:0 1:0.125 1:0.25 1:0.5 1:1 1:2 1:4 1:5 18.65 17.98 3.17 2.62 2.46 1.56 1.60 1.51 1.38 1:54 1:55 1:10 1:09 1:09 1:06 1:07 1:07 1:07 99.00 99.00 97.89 92.05 90.67 58.32 53.77 41.81 34.91 MMA ⫽ 0.50 g; [bmim][PF6] ⫽ 1.50 g; [MMA]/[AIBN] ⫽ 100:1; [CuCl2]/[bipy] ⫽ 1:3. b The sample was prepared by conventional free-radical polymerization but with 5% bipy added. a styrene, up to 10 equiv of CuCl2 was required to achieve good control over the polymerization of styrene. The ill-controlled heterogeneous reverse ATRP was also observed for both MA and MMA under the same conditions. However, only 1 equiv of CuCl2 was needed to make the reverse ATRP of styrene, MA, and MMA well controlled in anisole.32 To investigate the effect of the CuCl2 content on the reverse ATRP of MMA in [bmim][PF6], we employed a variety of initiating systems, AIBN/ CuCl2/bipy, with varied [CuCl2]/[AIBN] ratios of 0 – 8, while keeping constant [MMA]/[AIBN] at 100 and [bipy]/[CuCl2] at 3. The results were sum- Figure 7. GPC traces of PMMA obtained at different AIBN/CuCl2 ratios (MMA ⫽ 0.50 g, [bmim][PF6] ⫽ 1.50 g, temperature ⫽ 70 °C, reaction time ⫽ 8 h). The sample was prepared by conventional free-radical polymerization but with 5% bipy added. Figure 8. Dependence of ln([M]0/[M]) on the polymerization time in [bmim][PF6] at 90 °C (MMA ⫽ 0.50 g, [bmim][PF6] ⫽ 1.50 g, [MMA]/[AIBN]/[CuCl2]/[bipy] ⫽ 100:1:0.6:6). marized in Table 2. Figure 7 exhibits the GPC traces of the polymers. In the absence of CuCl2, the molecular weight distribution of the obtained PMMA was broad, suggesting an uncontrolled process. However, the polymerizations became well controlled when only 0.125 equiv of CuCl2 versus AIBN was added. All the polymers had Mw/Mn values of less than 1.10. The polymerization rate increased with an decrease in the [CuCl2]/[AIBN] ratio, as evidenced by the decreased monomer conversion at the same polymerization time. This was the result of more radicals being generated by the decomposition of AIBN. Another series of reverse ATRPs were carried out in [bmim][PF6] with [MMA]/[AIBN]/[CuCl2]/ [bipy] ⫽ 100/1/0.6/6 at 90 °C. The corresponding semilogarithmic kinetic plots are displayed in Figure 8. The linear relationship between ln([M]0/ [M]) and time was again observed. It was interesting to ask why the amount of CuCl2 needed to gain control over the reverse ATRP of MMA was less in an ionic liquid than in bulk or conventional organic solvents. According to the mechanism of reverse ATRP proposed by Matyjaszewski and coworkers,20 –22 1 molar equivalent of CuII species versus growing radicals should be required to promote a controlled polymerization. However, the [AIBN]/[CuCl2] ratio here was as large as 8 when a well-controlled process was observed. The main reason might be the low efficiency of AIBN in [bmim][PF6], in addition to the good solubility of CuII species in the ionic liquid. 150 MA ET AL. Recycling of [bmim][PF6], CuCl2, and bipy The probability of recycling the [bmim][PF6] and catalytic system was evaluated in this work. When the polymerization was stopped, the reaction mixture was diluted with THF and added dropwise into a large amount of methanol. The precipitated PMMA was isolated by filtration. After the evaporation of the methanol, THF, and residue monomer in vacuo, the initiator, AIBN, and the monomer, MMA, were introduced into recovered [bmim][PF6] containing recycled CuCl2 and bipy. The reverse ATRP was performed again. Figure 9 shows the GPC traces of the obtained PMMA. The plots of Mn and Mw/Mn versus the conversion are shown in Figure 10. The Mn values increased linearly with conversion, and the polydispersities remained relatively narrow; this indicated a well-controlled polymerization process, although no extra catalyst and ligand were added. CONCLUSIONS The well-controlled reverse ATRP of MMA was achieved in an ionic liquid, [bmim][PF6], with the AIBN/CuCl2/bipy initiating system. Much less catalyst was needed to effectively mediate the process in [bmim][PF6] than in other reverse ATRPs. The resultant PMMA and residue monomer were relatively easily isolated from the reaction mixture. The ionic liquid and catalyst complex were readily recovered and reused. The chlorine-atom-ended PMMA was used as a macroinitiator for chain extension or copolymerization with styrene by conventional ATRP in chlorobenzene. Figure 9. GPC traces of PMMA polymerized in an ionic liquid at 70 °C with the recovered ionic liquid and catalytic system (MMA ⫽ 0.50 g, [bmim][PF6] ⫽ 1.50 g, [MMA][AIBN][CuCl2][bipy] ⫽ 100:1:2:6). Figure 10. Mn and molecular weight distribution values of PMMA polymerized in the recovered [bmim][PF6] and catalytic system at 70 °C versus the conversion. For the polymerization conditions, see Figure 9. This work was supported by the National Natural Science Foundation of China (20174001) and the Chinese Ministry of Education through the research fund for the doctoral program of higher education (99000136) and through the teaching and research award fund for outstanding young teachers in higher education institutions. REFERENCES AND NOTES 1. Welton, T. Chem Rev 1999, 99, 2071. 2. Seddon, K. R. J Chem Tech Biotechnol 1997, 68, 351. 3. Earle, M. J.; McCormac, P. B.; Seddon, K. R. Chem Commun 1998, 2245. 4. Earle, M. J.; McCormac, P. B.; Seddon, K. R. Green Chem 1999, 1, 23. 5. Earle, M. 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