Abstract
Carbon molecular sieve (CMS) membranes have excellent gas separation property over conventional polymeric membranes and superior anti-swelling property. PMDA-ODA polyimide has high thermal stability and good mechanical property. It has been extensively adopted as the precursor of CMS membrane. However, due to the insoluble nature, PMDA-ODA CMS membranes are limited to configurations like dense symmetric films or composite membranes using porous inorganic or metal substrates. In this work, CMS hollow fiber composite membranes based on an asymmetric PMDA-ODA hollow fiber were successfully prepared for the first time. The neat PMDA-ODA hollow fiber membrane was crosslinked by polyethyleneimine to alleviate pore collapsing during carbonization and then dip-coated by a PMDA-ODA PAA solution to seal the surface defects. The PDMA-ODA CMS composite hollow fiber membranes showed gas permeances of 93.4 GPU, 19.6 GPU, 6.5 GPU, and 4.7 GPU for CO2, O2, N2, and CH4, respectively, with an ideal selectivity of 14.4, 3.0, and 19.8 for CO2/N2, O2/N2, and CO2/CH4 gas pairs, respectively. The attractive gas separation property shows a great potential for industrial application.
Introduction
Over the last two decades, membrane-based separation technologies have attracted a great deal of attention because they have merits such as high energy efficiency, low capital investment, 1 environmentally friendly, simple operation, and small footprint.2–4 However, in harsh operational conditions such as natural gas purification 5 or recovery of landfill gas, conventional polymeric membranes may undergo physical aging or plasticization that deteriorates the gas separation property.1,6 Therefore, it is necessary to develop membranes having a better stability in extreme conditions. Carbon molecular sieve (CMS) membrane is one of the candidates, which exhibits excellent gas separation performance surpassing the Robeson Upper Bound for polymeric membranes, 2 and superior chemical/thermal stability as well. 7 CMS membranes are typically obtained by pyrolyzing polymer precursors under precisely controlled conditions. It has micropores with a size between 7 and 20 Å resulting from the formation of turbostratic carbon comprising disordered sp2-hybridized sheets and ultra-micropores below 7 Å representing the inter-layer distance among carbon sheets. 8 The formation of microstructure is mainly controlled by factors including: (a) polymeric precursor, (b) membrane configuration, and (c) pyrolysis condition.
Polyacrylonitrile, polyvinylidene chloride, poly (furfuryl alcohol), phenolic resin, and polyimide are the most studied polymer precursors for CMS membranes in forms of flat sheet, tubular, capillary, or hollow fiber configurations.9–13 Hollow fiber CMS membrane has advantages including high surface area to volume ratio, high packing density, and good mechanical property. 13 Soluble polyimides such as P84, 14 Matrimid® 5218, 15 and 6FDA/BPDA-DAM 16 have been fabricated into hollow fibers and then converted to CMS membranes. PMDA-ODA polyimide with a trade name of Kapton is another well studied polyimide for CMS membrane due to its high mechanical property, excellent thermal stability, easy to synthesize, abundant carbon content, and relatively low cost. 17 However, due to the insoluble nature of PMDA-ODA, its soluble precursor, polyamic acid (PAA), is used to prepare asymmetric membranes by the nonsolvent induced phase inversion process.18,19 Since PAA is very hydrophilic, PAA hollow fiber membrane is difficult to spin because of the slow phase inversion rate. To our best knowledge, there is only one report of the fabrication of Kapton based CMS hollow fiber membranes. 20 However, the membrane was made by coating a thick PMDA-ODA PAA gel layer on the inner surface of a Teflon tube. This method was difficult to be scaled up. In our previous work, 21 a series of integrally-skinned PMDA-ODA hollow fiber membranes were prepared. The key was to speed up the phase inversion rate by adjusting the dope composition and spinning condition.
In this work, we aimed to prepare a CMS membrane based on the PMDA-ODA hollow fiber membrane. Special attentions were paid to avoid the pore collapsing of the PMDA-ODA hollow fiber during carbonization by chemical crosslinking using polyethylenimine (PEI). This was to prevent the formation of low permeable CMS hollow fiber membranes. As shown in Figure 1, a PMDA-ODA PAA solution was coated onto a crosslinked PI hollow fiber membrane to seal the surface defects. Finally, the hollow fiber composite membrane was carbonized to form the defect-free CMS membrane. A schematic diagram for preparing PMDA-ODA composite CMS hollow fiber membrane.
Experimental
Materials
Pyromellitic dianhydride (PMDA) and 4,4′-oxydiphenylene diamine (ODA) were purchased from Aladdin (China) and dried in vacuum at 80°C for 12 h before use. A branched polyethylenimine (PEI) with an Mw of 70000 g·mol−1 was purchased from Macklin Biochemical Technology Co. Ltd (Shanghai, China). 1-methyl-2-pyrrolidine (NMP), tetrahydrofuran (THF), glycerinum (GLY), isopropanol (IPA), n-hexane (HEX), and methanol(MeOH)were obtained from Beijing Chemical Works (China) and used as received. CO2 (99.99%), O2 (99.99%), CH4 (99.96%), and N2 (99.999%) were obtained from Air liquide (China).
Dope preparation
PMDA-ODA PAA was synthesized following a reported method. 22 PMDA, ODA, and a three-neck glass flask were fully dried. NMP was dehydrated by molecular sieve. ODA and NMP were added to the flask. After ODA was fully dissolved, a stoichiometric amount of PMDA to ODA was added. The solution was stirred in an ice-bath for 12 h till it became very viscous. After that, certain amount of GLY and THF were added as nonsolvents to the PMDA-ODA PAA dope solution. The solution was continuously stirred till it became a homogenous mixture.
Preparation of the PMDA-ODA PAA hollow fiber membrane
The spinning condition of the PMDA-ODA PAA hollow fiber membranes.

(a) The thermal imidization temperature program of the PMDA-ODA PI hollow fiber membranes, (b) the heating program for preparing the PMDA-ODA CMS composite membranes.
The crosslinking of PMDA-ODA PI hollow fiber
PEI was dissolved in a water/IPA (1:1) co-solvent at a concentration of 1 wt%. Then, the PEI solution was heated to 70°C and the PMDA-ODA PI hollow fibers were soaked in the solution for 1 h for crosslinking. After that, the hollow fibers were taken out and rinsed with deionized water for three times to remove any residual PEI. Finally, the crosslinked fibers were vacuum dried at 100°C for 1 h. The crosslinking mechanism is shown in Figure 3. The chemical structure of the PEI crosslinked PMDA-ODA polyimide.
Preparation of the CMS hollow fiber composite membranes
To seal surface defects of the PMDA-ODA hollow fiber membranes, we dissolved the PMDA-ODA PAA polymer in a THF/MeOH (8:2 w/w) co-solvent and dip-coated the PAA solution onto the hollow fiber outer surface. Figure 4 shows the procedure of dip-coating. First, a single filament hollow fiber module was prepared. Then, the hollow fiber was immersed in the coating solution for 90 s. Later, the hollow fiber was vacuum dried at 70°C for 2 h to remove any residual solvent. Before carbonization, the fibers were cut off from the module. At last, the composite hollow fibers were pyrolyzed in a tube furnace and purged by N2 in a flow rate of 200 mL/min using a heating protocol shown in Figure 2(b). A schematic diagram of the dip-coating process.
Characterization methods
A Nicolet iS50 Fourier transform infrared spectrometer (Thermo Scientific Inc., USA) was used to determine the chemical structures of the PAA, PI, and PEI crosslinked PI hollow fiber membranes. The scan numbers were 32 times and the scanning range was from 400 to 4000 cm−1.
The thermal stability of the hollow fiber membranes before and after crosslinking was evaluated using a Metter-Toledo thermogravimetric analysis instrument (TGA). Hollow fiber samples were cut into small pieces and heated from room temperature to 800°C in an N2 atmosphere at a heating rate of 10 K/min.
The glassy to rubbery transition (Tg) of polyimide hollow fiber membrane with or without crosslinking was measured using a Q-800 dynamic mechanical analysis instrument (TA instrument, USA). A frequency of 1 Hz and a temperature ramping rate of 3 °C/min was used.
Morphologies of the hollow fiber membranes were characterized using a Hitachi JSM-7800F scanning electron microscope (Japan). To obtain a smooth cross-section, the hollow fibers were fractured in liquid nitrogen and sprayed with gold before test.
The shrinkage% of hollow fiber membranes after carbonization was calculated using equation (1)
The mean pore size (r) of the outer surface of the hollow fiber membranes was determined using a method as introduced by Liu et al.
25
Since the gas diffusion followed the Knudsen diffusion mechanism, gas permeance Ji was linear dependence of the pressure Pi
Determining the gas separation property of the hollow fiber membranes
The gas permeances and ideal selectivity of the hollow fiber membranes were determined using pure gases. The details of hollow fiber module preparation and testing process have been described in our previous study.
25
The membranes were tested at 25°C with a transmembrane pressure of 7 bar. The permeance was calculated using equation (5)
Results and discussion
Hollow fiber membrane morphology
Hollow fiber membranes with regular cross-sectional morphology (round inner and outer surfaces) is important for achieving good mechanical strength, stable separation property and a uniform thickness of the coating layer. GLY and THF were selected as nonsolvent in the dope solution to facilitate phase inversion. This was to shift the composition of polymer dope closer to the binodal curve in the triangular diagram. Meanwhile, GLY as a more viscous nonsolvent would be kept in the polymer-rich phase during phase inversion. After the hollow fiber membrane solidified, the residual GLY would leach out. Thus, an interconnected structure that was beneficial to enhance permeance was formed. THF as a low boiling point nonsolvent would evaporate rapidly, causing a quick increase in the polymer concentration at dope surface. Thus, a denser skin layer having less surface defects would form. 22
Figure 5 shows the cross-sectional and surface morphologies of the hollow fiber membranes. A smooth outer surface with no observable defects was obtained. It was reported that a substrate with a smooth outer surface and small pores was preferred to form a uniform and thin coating layer.26,27 Moreover, the hollow fiber inner surface had micropores of 1–3 μm that indicated the hollow fiber membrane was outer selective. Although the outer surface showed no observable pores, the mean surface pore size was calculated to be 1.5±0.1 nm (by equation (4)). Since the kinetic diameters of the testing gases are 3.3 Å (CO2), 3.46 Å (O2), 3.64 Å (N2), and 3.76 Å (CH4), respectively, these gases shall follow the low selective Knudsen diffusion mechanism in the neat PMDA-ODA hollow fiber membrane.
28
The gas separation performance shown in Figure 6 further proved the Knudsen diffusion mechanism. Therefore, a dip-coating treatment was adopted to seal these defects. Morphologies of the hollow fiber membranes: (a) the membrane cross-section, (b) the outer-most region of the cross-section, (c) the inner surface, and (d) the outer surface. The gas separation performance of the Kapton hollow fiber membrane before carbonization.

The chemical structures of the PMDA-ODA based membranes
Figure 7 shows the FTIR spectra of the PMDA-ODA PAA, PI, and the PEI crosslinked PMDA-ODA PI. The characteristic peaks of PAA could be found at 1542 cm−1 (C-N stretching) and 1655 cm−1 (C=O stretching). After the thermally induced imidization reaction, the two peaks disappeared. The observation of the new peaks at 1375 cm−1 (C-N< stretching), 1720 cm−1 (>C=O stretching), and 1779 cm−1 (>C=O stretching) indicated the formation of the imide group. The result proved the successful formation of polyimide. After crosslink, the peaks of amide structures were observed at 1542 cm−1 (C-N stretching) and 1637 cm−1 (C=O stretching).29–31 The two peaks proved the occurrence of the PEI crosslinking reaction (Figure 3). Note that, the peaks at 1382 cm−1 (C-N<stretching), 1720 cm−1 (>C=O stretching), and 1779 cm−1 (>C=O stretching) still existed, which indicated that some imide groups remained in the crosslinked PI. the FTIR spectra of the PAA, PI, and PEI crosslinked PI polymers derived from PMDA-ODA.
Effects of crosslinking on the thermal stability of the PMDA-ODA PI
As shown in Figure 8, both the crosslinked and uncrosslinked PIs had insignificant weight losses at temperature below 250°C. This could be attributed to the evaporation of absorbed water or high boiling point solvent such as NMP. At higher temperatures, the crosslinked PI showed a better thermal stability. The uncrosslinked PI started to decompose at 500°C.This was consistent with the reported Td for PMDA-ODA PI.32,33 However, the crosslinked PI begun to decompose at 550°C. Clearly, the PEI crosslinking improved the thermal stability of the PMDA-ODA PI. And the improved thermal stability of the crosslinked PI would alleviate the pore collapsing of the hollow fiber membrane during carbonization. The TGA plots of the uncrosslinked and crosslinked PMDA-ODA polyimides.
As shown in Figure 9, the uncrosslinked PMDA-ODA polyimide hollow fiber had a Tg of 392°C. After crosslinking, the Tg disappeared that indicated a thermal-set nature of the crosslinked PMDA-ODA hollow fiber membrane. Therefore, when the crosslinked polyimide hollow fiber was carbonized, the glassy to rubbery state transition would not happen. So, the polymer chains would be rigid during carbonization and the pore-collapsing phenomena should be mitigated. The DMA curves for the uncrosslinked and crosslinked PMDA-ODA polyimide hollow fiber membranes.
Effects of crosslinking on suppressing the pore collapsing during the carbonization process
It is well known that polymer tends to shrink during carbonization.
32
For porous membranes, pores would collapse during heating. This will aggravate the shrink ratio of the polymer and cause delamination or defect formation of the composite carbon molecular sieve membrane.
27
In addition, pore collapsing will lead to densification of the hollow fiber substrate and decrease the gas permeance. According to Figure 10(a), the PMDA-ODA hollow fiber membrane had an outer diameter of 665 μm. After carbonization, it reduced to 518 μm (Figure 10(b)). However, the PEI crosslinked hollow fiber had an outer diameter of 604 μm (Figure 10(c)) after carbonization. As listed in Table 2, the shrinkage% of the outer diameter, membrane thickness, and inner diameter of the uncrosslinked and crosslinked hollow fiber membranes were 22.21%, 16.03%, and 27.4% and 9.17%, 6.41%, and 11.58%, respectively. The results proved the effectiveness of crosslinking in inhibiting the membrane shrinkage during the carbonization process. The CO2 permeances of the uncrosslinked and crosslinked CMS hollow fiber membranes had significant difference. The crosslinked CMS membrane showed 4-fold higher gas permeances (4231.4±334.2 GPU) to the uncrosslinked CMS membrane (1102.9±158.9 GPU). Again, it proved that the crosslinking treatment inhibited the pore collapsing during carbonization and increased the gas permeance of the CMS membrane. The SEM images of the cross-sections and skin layers for (a) (d) the neat PI hollow fiber, (b) (e) the uncrosslinked CMS hollow fiber, (c) (f) the crosslinked CMS hollow fiber. Dimensions of the hollow fiber membranes.
In the carbonization process, the skin layer would be thickened due to the pore collapsing. Figures 10(d–f) show the thicknesses of the skin layers of different hollow fiber membranes. The skin layer of the CMS hollow fiber without crosslinking was thickest. After the PEI crosslinking, the CMS hollow fiber membrane showed a thinner skin layer thickness than the uncrosslinked sample. This justified our estimation that the PEI crosslinking could alleviate pore collapsing of the Kapton hollow fiber membrane and maintain its cross-section morphology during carbonization. Note that, both the CMS membranes showed a typical Knudsen diffusion behavior that indicated the existence of defects. Later, we would show that these defects could be repaired by dip-coating.
Gas separation performance
The gas separation performance of the CMS composite membranes.
Gas separation performance of CMS membranes based on different coating times (PAA content 5 wt%).

The SEM images of (a) the outer surface and (b) the outer-most region of the CMS membrane after one-time coating.
Evaluating the gas separation performance of the Kapton CMS hollow fiber membrane
Comparison of the gas separation performances of typical CMS membranes.
Conclusion
A series of PMDA-ODA CMS hollow fiber composite membranes have been successfully prepared. The PEI chemical crosslinking agent is very effective to suppress the membrane shrinkage during carbonization. The surface defects of the CMS membrane can be sealed by dip-coating. By adjusting the coating condition, the CMS membranes exhibit gas separation properties comparable to literature reported data for CMS membranes. This work provides a guidance to prepare CMS hollow fiber membranes derived from polyamic acid polymers.
Footnotes
Declaration of conflicting interests
The author(s) declared no potential conflicts of interest with respect to the research, authorship, and/or publication of this article.
Funding
The author(s) disclosed receipt of the following financial support for the research, authorship and/or publication of this article: This research is funded by National Natural Science Foundation of China (51773011).
