Literature DB >> 27782212

A Carbonaceous Membrane based on a Polymer of Intrinsic Microporosity (PIM-1) for Water Treatment.

Hee Joong Kim1, Dong-Gyun Kim2,3, Kyuchul Lee2,3, Youngbin Baek1, Youngjae Yoo2,3, Yong Seok Kim2,3, Byoung Gak Kim2,3, Jong-Chan Lee1.   

Abstract

As insufficient access to clean pan class="Chemical">water is expected to become worse in the near future, water purification is becoming increasingly important. Membrane filtration is the most promising technologies to produce clean water from contaminated water. Although there have been many studies to prepare highly water-permeable carbon-based membranes by utilizing frictionless water flow inside the carbonaceous pores, the carbon-based membranes still suffer from several issues, such as high cost and complicated fabrication as well as relatively low salt rejection. Here, we report for the first time the use of microporous carbonaceous membranes via controlled carbonization of polymer membranes with uniform microporosity for high-flux nanofiltration. Further enhancement of membrane performance is observed by O2 plasma treatment. The optimized membrane exhibits high water flux (13.30 LMH Bar-1) and good MgSO4 rejection (77.38%) as well as antifouling properties. This study provides insight into the design of microporous carbonaceous membranes for water purification.

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Year:  2016        PMID: 27782212      PMCID: PMC5080592          DOI: 10.1038/srep36078

Source DB:  PubMed          Journal:  Sci Rep        ISSN: 2045-2322            Impact factor:   4.379


Carbon-based membranes have been extensively studied because of their unique characteristics, such as high physicochemical stability, fast mass transport behavior, large surface area, biocidal property, and narrow pore size distribution1234567891011. Based on these properties, they have been utilized in diverse applications including gas or liquid separation1234, catalytic reactions5, chemical sensing678, energy storage9, and tissue engineering10. In particular, pan class="Chemical">water treatment membranes consisting of carbon nanomaterials, such as carbon nanotube (CNT) and graphene derivatives, have a unique advantage of fast water permeation by the low frictional water flow through their carbonaceous pores1213141516171819. For example, CNT array membranes with aligned 1D carbonaceous nanochannels exhibit ultrahigh water flux values, which are several orders of magnitude higher than those exhibited by conventional ultrafiltration (UF) membranes13141516. Graphene oxides (GO) membranes with 2D carbonaceous nanochannels have been reported to exhibit fast water flux with controlled separation performance for sub-10 nm particles and molecules171820. However, practical applications of these membranes are still limited by several issues, such as high cost and complicated fabrication for CNT-based membranes1314151617, as well as poor stability under hydrated conditions and difficult pore size control for graphene-based membranes420. In addition, both membranes often suffer from relatively low salt rejection rates, attributed to the large pore size of CNT-based membranes13 and the deterioration of integrity of graphene-based membranes by the hydration420, which in turn hampers the application of the membranes for nanofiltration (NF) or reverse osmosis (RO). Hence, a more convenient and efficient method for preparing carbonaceous membranes with a high flux and salt rejection rate is required for the water treatment applications. Microporous polymers are of great interest as promising next-generation molecular sieving and storage materials for the applications of gas sorption, separation and storage, pervaporation, and catalytic supports2122232425. Recently, pan class="Chemical">polymers of intrinsic microporosity (PIMs), a novel class of microporous polymers, have attracted considerable attention because of good solubility and processability, different available functional groups, high glass transition temperature, good thermal stability, and excellent mechanical and film-forming properties262728293031323334. As PIMs contain fused-ring and ladder-like structures integrated with contortion sites, they have uniform interconnected micropores (<2 nm) and a high surface area (300–1000 m2 g−1)303132. Several studies have reported the use of PIM membranes for gas separation by exploiting their high gas permeability and selectivity26272830313334; however, only a few studies have reported the use of PIM membranes for the filtration of organic solutions32. Moreover, thus far, a PIM membrane for water treatment applications has not been reported because it is difficult to utilize the hydrophobic micropores of PIMs for transporting water molecules. Considering the low frictional water flow through the pores of carbonaceous membrane, it might be possible to prepare microporous, carbonized PIM membranes with high water flux and selectivity by carbonization of the PIM membranes. Previously, we have reported the preparation of 2–15 nm thick, graphene-like pan class="Chemical">carbonaceous thin films on a quartz substrate by the carbonization of thin films of a polymer of intrinsic microporosity (PIM-1)35. Herein, we report the fabrication of a new type of free-standing carbonaceous membrane based on PIM-1 via controlled carbonization; this membrane exhibits interconnected, sub-1 nm pores with a narrow size distribution. These characteristics result in high flux and a good salt rejection rate for the filtration of an MgSO4 aqueous solution, thus making the membrane attractive for NF applications. In addition, the water flux and antifouling property of the membrane can be further enhanced without sacrificing the salt rejection rate by subjecting the membrane to O2 plasma treatment.

Results

PIM-1 was synthesized by polycondensation of 5,5′,6,6′-tetrahydroxy-3,3,3′,3′-tetramethypan class="Gene">l-1,1′-spirobisindane (TTSBI) and 2,3,5,6-tetrafluoroterephthalonitrile (TFTPN), as previously reported29353637. 1H NMR and elemental analysis (EA) revealed that the polymer was successfully synthesized (see Methods, Supplementary Information). The number-average molecular weight (Mn) and molecular weight distribution (Đ) of PIM-1, obtained by gel-permeation chromatography (GPC), are 50,100 g mol−1 and 1.87, respectively. A PIM-1 membrane was prepared by a simple solution casting method (Fig. 1a); a solution of PIM-1 in CHCl3 was poured into a glass dish (diameter = 10 cm), followed by the slow evaporation of the solvent at room temperature. The thickness of the PIM-1 membrane was controlled by changing the concentration (0.5–2.0 wt%) and amount of the PIM-1 casting solution. After the PIM-1 membrane was completely dried under vacuum at 60 °C, controlled thermal treatment under N2/H2 atmosphere (95/5 vol%) was conducted to fabricate a carbonaceous PIM-1 membrane (C-PIM-1). The yellow transparent PIM-1 membrane changed into a glittering-grey opaque C-PIM-1 membrane after carbonization (Fig. 1b; Fig. S1, Supplementary Information). The degree of carbonization, defined as the membrane weight loss (%) during thermal treatment, was controlled by changing the temperature (1,100–1,300 °C) and time (1–6 h). As shown in Table S1 (Supplementary Information), the degree of carbonization for the C-PIM-1 membranes was controlled from 37.5% to 60%. Unfortunately, it was difficult to prepare C-PIM-1 membranes with a degree of carbonization below ≈35% due to the abrupt weight loss of PIM-1 from 0% to ≈35%. The abrupt weight loss of PIM-1 could be also observed by TGA under N2 flow (Fig. S2, Supplementary Information), although the actual decomposition temperature under N2/H2 flow (95/5 vol%) might be different from the TGA result. In addition, the C-PIM-1 membranes with a degree of carbonization higher than 60% were prepared, however, they were too fragile to be used as the pressure-driven filtration membranes. Thus, C-PIM-1 membranes with a degree of carbonization from 37.5% to 60% were used because they are sufficiently robust, maintaining their free-standing film state from the filtration even under an applied pressure of 10 bar.
Figure 1

Preparation and characteristics of PIM-1 and C-PIM-1 membranes.

(a) Preparation procedure of PIM-1 and C-PIM-1 membranes. (b) Photographs of the PIM-1 and C-PIM-1 membranes. (c) XPS C 1s spectra, (d) Raman spectra, and (e) pore size distributions of the PIM-1 and C-PIM-1 (40% carbonization) membranes.

The carbonization the pan class="Gene">PIM-1 membrane to the C-PIM-1 membrane via the thermal treatment could be monitored by X-ray photoelectron spectroscopy (XPS) analysis; the carbon content of the membrane increases from 82.60 at% to 96.82 at% upon the carbonization process, while the content of oxygen and nitrogen decreases (Table S2, Supplementary Information). In addition, the content of carbon in the C–C bond (284.4 eV) of the C-PIM-1 membrane was found to be much larger than that of the PIM-1 membrane (Fig. 1c). The atomic composition results, obtained from EA and XPS experiments, indicate the uniform carbonization from surface to inside part of the membrane (Table S2, Supplementary Information). Raman spectroscopy clearly shows the D (1310 cm−1) and G (1595 cm−1) band peaks, corresponding to the graphitic carbon structures of the C-PIM-1 membrane (Fig. 1d)383940, while such graphitic carbon structural peaks were not observed for the PIM-1 membrane. In addition, the relative intensity of D3 peak at 1500 cm−1, compared to that of G peak at 1595 cm−1, decreases with increasing the degree of carbonization; D3 and G peaks correspond to amorphous carbon and graphitic carbon lattice, respectively (Fig. S3, Supplementary Information). Therefore, C-PIM-1 membrane with a high degree of carbonization has low amorphous carbon content3839. The degree of crystallinity, calculated from the integrated intensity ratio of the D and G bands (ID/IG), is 1.84 for the C-PIM-1 membrane with 40% carbonization; this is typical value for the carbonaceous materials prepared by the thermal treatment of polymer precursors4142. The change of surface morphology of the membranes could be observed from scanning electron microscopy (SEM) and atomic force microscopy (AFM) analyses; a quite flat surface (root-mean-square roughness, Rq = 0.85 ± 0.26) of the PIM-1 membrane was found to be changed to a relatively rough surface (Rq = 15.51 ± 2.10) for the C-PIM-1 membrane, attributed to the nanoscale thermal shrinkage by the carbonization (Figs S4 and S5, Supplementary Information)4344. Still the interconnected micropore characteristics of the PIM-1 membrane having median pore size of 0.824 nm and surface area of 819 m2 g−1 are preserved for some degree after the carbonization for the C-PIM-1 membrane having median pore size of 0.778 nm and surface area of 643 m2 g−1 (Figs 1e and S6, Supplementary Information). Dead-end filtration test was performed to evaluate the pure water permeability behavior of the C-pan class="Gene">PIM-1 membrane with a thickness of 30 μm. Figure 2a clearly shows the very large increase of the pure water flux after the carbonization; pure water flux increases from 0.23 LMH bar−1 for the PIM-1 membrane to 6.43 LMH bar−1 for the C-PIM-1 membrane with 60% carbonization, which is a 28-fold increase in the water flux as a result of carbonization. The increase in water flux by carbonization is attributed to the low frictional water flow inside the carbonaceous pores rather than the pore size and surface area of the membranes1213141516171819. A solution-diffusion model, which is widely used to explain mass transport through dense membranes with sub-1 nm pores, was employed in order to elucidate the increase of water permeability by the carbonization124546. Water flux (Jw, g cm−2 s−1) in the solution-diffusion model is expressed as follows:
Figure 2

Water flux and salt rejection performance of the PIM-1 and C-PIM-1 membranes.

The effect of degree of carbonization on water flux and salt rejection of the membranes with a thickness of 30 μm upon (a) pure water and (b) MgSO4 solution (2,000 ppm) filtrations. (c) The effect of membrane thickness on water flux and salt rejection of the membranes with the degree of carbonization of 37.5% upon MgSO4 solution (2,000 ppm) filtration. The red solid and dotted lines indicate the water flux and salt rejection of a commercial polyamide NF membrane (NF2A), respectively.

where CmW,F is the equilibrium water concentration in the membrane (g H2O in a 1 cm−3 swollen membrane), Dw is the average water diffusion coefficient in the membrane (cm2 s−1), Vw is the partial molar volume of water (18.0 cm3 mol−1), which is typically approximated by the molar volume of pure water4546, ΔP is the difference in pressure between feed and permeate (bar), Δπ is the osmotic pressure difference across the membrane (bar), L is the membrane thickness (cm), R is the gas constant (83.1 cm3 bar mol−1 K−1), and T is the absolute temperature (298 K). Two parameters, CmW,F and Dw, should be the key factors in determining the water flux behavior for the PIM-1 and C-PIM-1 membranes because all the other parameters are identical. The CmW,F of the membranes was evaluated by the measurement of the equilibrium water uptake of the membranes in pure water (Fig. S7, Supplementary Information). The CmW,F of the C-PIM-1 membrane with 40% carbonization (5.52 × 10−2 g H2O in a 1 cm3 swollen membrane) is approximately 4.7 times larger than that of the PIM-1 membrane (1.18 × 10−2 g H2O in a 1 cm3 swollen membrane). CmW,F was also found to increase with the degree of carbonization. A membrane with a large CmW,F is known to exhibit high water permeability because the larger amount of water in the membrane pores can provide the pathways for water molecules (i.e., convective frame of reference effect)4546. The calculated Dw values of the C-PIM-1 membranes (7.08 × 10−3–8.90 × 10−3 cm2 s−1) are approximately 4.8–6.1 times larger than that of the PIM-1 membrane (1.47 × 10–3 cm2 s−1), which are close to those of other carbon-based membranes (5 × 10−3–8 × 10−3 cm2 s−1)4748. Those of conventional polymeric membranes are in the range of 1 × 10−4 to 1 × 10−7 cm2 s−1 4546. Therefore, the water diffusion behavior of the C-PIM-1 membrane is similar to that in the carbon-based membranes. The carbon-based membranes containing CNT and graphene derivatives have well-defined micropores and exhibit low frictional water flow inside the carbonaceous pores via the formation of agglomerated hydrogen bonds between water molecules, thus resulting in the high water permeability4748. The much larger CmW,F and Dw values of the C-PIM-1 membrane than those of the PIM-1 membrane can be explained for some degree by water contact angle study (Fig. S8, Supplementary Information). It is well known that membranes with high water wettability exhibit large water sorption and diffusion coefficients4546. The C-PIM-1 membrane shows smaller water contact angle and higher water wettability than PIM-1 membrane possibly due to its graphitic carbon structure49 and rough surface morphology5051, as presented in the Raman spectroscopy and AFM results, respectively (Figs 1d and S5, Supplementary Information). It has been reported that clean graphene surface exhibited quite low water contact angle value (37 °), °riginated from the strong interaction between graphene surface and water molecules49. Higher water wettability of membrane could also be obtained by introducing the rough surface morphologies5051. Subsequently, the NF performance of the C-PIM-1 membrane was investigated using an aqueous pan class="Chemical">MgSO4 solution. The pure water flux behavior of the C-PIM-1 membrane is mirrored in Fig. 2b for the MgSO4 solution filtration, where the C-PIM-1 membrane also shows an increase of water flux with increasing degree of carbonization, and exhibits much larger water flux (3.51–4.45 LMH bar−1) than the PIM-1 membrane (0.12 LMH bar−1). Although the salt rejection rates of the C-PIM-1 membranes (78.76–82.94%) are somewhat smaller than that of PIM-1 membrane (91.41%) due to the typical trade-off behavior between water diffusion coefficient and water/salt selectivity4546, those are still comparable to or slightly larger than that of a commercial polyamide (PA) NF membrane (NF2A) (76.86%) measured in this study. The NF performance of NF2A is worse than that in the technical specification provided by the company, however, such discrepancy has been also reported by others, which is attributed to the effect of the membrane filtration condition52. The high salt rejection rate of the high-flux C-PIM-1 membrane is consistent with the BET results, which demonstrate the sub-1 nm sized, interconnected carbonaceous pores present in the membrane (Figs 1e and S6, Supplementary Information). Figure 2c shows that the C-PIM-1 membranes as thin as 20 μm can be easily prepared, yielding water flux as high as 4.91 LMH bar–1 for the MgSO4 solution filtration, when the degree of carbonization of the membrane is 37.5%. The increase in the water flux of the C-PIM-1 membrane with decreasing membrane thickness is attributed to the reduction of thickness resistance (Equation (1))1746. The salt rejection rate is almost independent of the membrane thickness, indicating that membranes are substantially free from micro- or several nanometer-scale defects. 20 μm was found to be the minimum thickness for the free-standing C-PIM-1 membrane to have the physical and mechanical stability under the high pressure of NF. The water flux behavior of PIM-1 membranes with different thicknesses is similar to that of C-PIM-1 membrane (Table S1, Supplementary Information). However, because of their small values, the changes in water flux of the PIM-1 membrane were not clearly seen in Fig. 2c. Carbon-based membranes, such as CNT array membranes, are known to exhibit a large entrance/exit resistance for pan class="Chemical">water molecules to pass through the inner pores of the membranes1353. For example, the entrance and exit resistances are larger than 120 bar and 1,000 bar, respectively, for the CNT array membrane, calculated by the molecular dynamic simulations1353. As compared to the CNT array membranes, the C-PIM-1 membrane possibly exhibits a relatively smaller entrance/exit resistance1353, as expected from its better water wettability (Fig. S8, Supplementary Information). Still, the water permeability of the C-PIM-1 membrane can be further improved by hydrophilic surface modification for decreasing the entrance/exit resistance. Both surfaces of the C-PIM-1 membrane were subjected to O2 plasma for preparing the O2 plasma-treated C-PIM-1 membrane (PC-PIM-1), as illustrated in Fig. 3a. The oxygen content on the membrane surface, analyzed by XPS, significantly increases by the O2 plasma treatment (Table S2, Supplementary Information), thereby increasing the water wettability on the membrane surface (Fig. S8, Supplementary Information), while the bulk atomic composition of the membrane does not change much as observed from EA measurement. This clearly demonstrates that hydrophilic oxygen functional groups are formed on the membrane surface by the O2 plasma treatment without changing the inner carbonaceous structure of the membrane. Furthermore, ID/IG ratios of C-PIM-1 and PC-PIM-1 membranes were found to be close from the Raman spectroscopy, indicating that the graphitic carbon structures on the C-PIM membrane are not damaged during O2 plasma treatment (Fig. S9, Supplementary Information). The effect of O2 plasma treatment on membrane surface morphologies was also investigated by SEM and AFM (Figs S10 and S11, Supplementary Information); any distinct change was not observed after the O2 plasma treatment, indicating that the O2 plasma treatment does not change the surface morphologies much. The hydrophilic functional groups imparted by the O2 plasma treatment were found to stably remain even after exposed to air for a week. The overall water permeability behavior of the PC-PIM-1 membranes with different degrees of carbonization and thicknesses is close to that of the C-PIM-1 membranes, while the water permeability of the PC-PIM-1 membranes is about 1.5 times higher than that of the C-PIM membranes due to the decreased entrance/exit resistance (Table S1, Supplementary Information). We could obtain the highest water flux from a PC-PIM-1 membrane with a thickness of 20 μm and 60% carbonization; 15.43 LMH bar–1 and 13.30 LMH bar−1 for the filtration of pure water and MgSO4 solution, respectively, as shown in Fig. 3b.
Figure 3

Preparation and performance of O2 plasma-treated C-PIM-1 membrane (PC-PIM-1).

(a) Preparation procedure of PC-PIM-1 membrane. (b) Pure water flux, water flux, and salt rejection performance of NF2A, and C-PIM-1 and PC-PIM-1 membranes with a thickness of 20 μm and a degree of carbonization of 60%. (c) Time-dependent normalized water flux variations of the NF2A, C-PIM-1, and PC-PIM-1 (20 μm, 60% carbonization) membranes during BSA solution (1 g L−1) filtration. (d) MgSO4 rejection rate and water flux performance of optimized C-PIM-1 and PC-PIM-1 membranes in this study and other NF membranes in the literature.

The salt rejection rate is generally assumed to decrease with increasing pan class="Chemical">water flux of filtration membranes4546. However, both C-PIM-1 and PC-PIM-1 membranes exhibit similar salt rejection performance, despite the significant increase in water flux for the membranes after O2 plasma treatment (Fig. 3b; Table S1, Supplementary Information). This result could be attributed to the presence of negatively charged oxygen functional groups on the PC-PIM-1 membrane (Fig. S12, Supplementary Information), which can improve the salt rejection rate by electrostatic repulsion (i.e., Donnan exclusion ability)5455. To investigate the Donnan exclusion ability of the PC-PIM-1 membrane, filtration experiments were conducted with various salt solutions having different ion valences under a relatively low feed pressure (5 bar) and low salt concentration (10 mM) for minimizing the transport of ions by convection and diffusion, respectively (Fig. S13, Supplementary Information)5455. Considering the hydrated salt size and charge effects, the rejection (R) of salt solutions should follow the orders of R(MgSO4) > R(MgCl2) > R(Na2SO4) > R(NaCl) and R(Na2SO4) > R(MgSO4) ≈ R(NaCl) > R(MgCl2), respectively (Table S3, Supplementary Information)1754. The rejection of salt solutions of the C-PIM-1 membrane follows the order of R(MgSO4) > R(MgCl2) > R(Na2SO4) > R(NaCl), indicating that the salt rejection of the C-PIM-1 membrane is mainly determined by the size effect. However, the rejection of the PC-PIM-1 membrane follows the order of R(MgSO4) > R(Na2SO4) > R(MgCl2) > R(NaCl); the change of the rejection order and the significant increase for R(Na2SO4) and R(NaCl) are observed for the PC-PIM-1 membrane, demonstrating that the salt rejection of the PC-PIM-1 membrane is determined by both of charge and size. Therefore, the PC-PIM-1 membrane shows increased water flux without decreasing the salt rejection compared to the C-PIM-1 membrane due to the Donnan exclusion from the negatively charged surface functional groups. Antifouling properties of the membranes were also evaluated using bovine serum albumin (BSA) as a model foulant, which is the most commonly used protein foulant for the antifouling tests5657585960616263. Figure 3c presents the time-dependent normalized pan class="Chemical">water flux variations of the NF2A, C-PIM-1, and PC-PIM-1 membranes during the filtration of a BSA solution. The NF2A and C-PIM-1 membranes show larger flux decreases as compared to the PC-PIM-1 membrane, especially in the initial filtration stage. Upon reaching a steady state after 250 min of filtration, the flux decline ratio (DR) of the PC-PIM-1 membrane (40.8%) is much smaller than those of NF2A (62.3%) and C-PIM-1 (70.1%) membranes; interestingly, the C-PIM-1 membrane shows the largest DR possibly due to its non-polar and uncharged surface (Fig. S12, Supplementary Information)6263. Thus, the treatment of the C-PIM-1 membrane by O2 plasma further imparts antifouling properties to the membrane against BSA, which would be another advantage of the O2 plasma treatment. A hydrophilic and charged membrane surface can provide an energetic barrier for the adhesion of foulants on the membrane surface via favorable water-surface interaction and electrostatic repulsion between foulants and the surface606263. Figure 3d displays the salt rejection and pan class="Chemical">water fluxes of various NF membranes for the filtration of MgSO4 aqueous solutions (Table S4, Supplementary Information, for details). Most of the membranes reported previously have been found to exhibit a typical trade-off phenomenon. For example, a PA membrane exhibits a high salt rejection rate (94.5%) but low water flux (6.20 LMH bar−1) for the filtration of a 3,000 ppm MgSO4 solution64. In contrast, a graphene/CNT composite membrane shows the highest water flux (12.13 LMH bar−1) but a poor salt rejection rate (25.1%) for the filtration of a 1,200 ppm MgSO4 solution19. As compared with representative results across recently published studies, the C-PIM-1 membrane exhibits a comparable water flux and salt rejection rate. Furthermore, the high flux and good salt rejection rate of the PC-PIM-1 membrane clearly exceed the upper limit of state-of-the-art NF membrane performance. Although the reported MgSO4 rejection rate and water flux data were obtained under different conditions (Table S4, Supplementary Information), at least, such a comparison has demonstrated that the carbonaceous PIM-1 membrane with an O2 plasma-treated surface (PC-PIM-1) could act as a high-performance NF membrane.

Discussion

We have demonstrated that a carbonaceous NF membrane (C-pan class="Gene">PIM-1) can be prepared by the controlled carbonization of a PIM-1 membrane. Sub-1 nm-sized, interconnected, low frictional carbonaceous pores of the C-PIM-1 membrane facilitate the permeation of water molecules through the membrane, leading to a high water flux and good salt rejection rate. Moreover, the O2 plasma treatment of the C-PIM-1 membrane results in water flux enhancement without decreasing the salt rejection rate, as well as high fouling resistance against proteins. These properties are attributed to the negatively charged hydrophilic membrane surface that decreases the entrance/exit resistance of the carbonaceous pores while facilitating the Donnan exclusion and reduces the interaction of proteins with the membrane surface. This study provides insight into the design and preparation of carbonaceous PIM membranes for versatile applications including the filtration. In particular, the modification of the chemical structure of PIMs can possibly control the pore characteristics of the corresponding carbonaceous PIM membranes. Currently, studies for the further improvement of these membranes, such as fabrication of a thin, selective layer of carbonized PIMs on a supporting membrane for increasing water flux, are underway in our laboratory.

Methods

Materials and methods including membrane preparation details are described in the Supplementary Information.

Additional Information

How to cite this article: Kim, H. J. et al. A Carbonaceous Membrane based on a pan class="Chemical">Polymer of Intrinsic Microporosity (PIM-1) for Water Treatment. Sci. Rep. 6, 36078; doi: 10.1038/srep36078 (2016). Publisher’s note: Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
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