Abstract
Dibenzomethanopentacene (DBMP) is shown to be a useful structural component for making Polymers of Intrinsic Microporosity (PIMs) with promise for making efficient membranes for gas separations. DBMP‐based monomers for PIMs are readily prepared using a Diels–Alder reaction between 2,3‐dimethoxyanthracene and norbornadiene as the key synthetic step. Compared to date for the archetypal PIM‐1, the incorporation of DBMP simultaneously enhances both gas permeability and the ideal selectivity for one gas over another. Hence, both ideal and mixed gas permeability data for DBMP‐rich co‐polymers and an amidoxime modified PIM are close to the current Robeson upper bounds, which define the state‐of‐the‐art for the trade‐off between permeability and selectivity, for several important gas pairs. Furthermore, long‐term studies (over ≈3 years) reveal that the reduction in gas permeabilities on ageing is less for DBMP‐containing PIMs relative to that for other high performing PIMs, which is an attractive property for the fabrication of membranes for efficient gas separations.
Keywords: Ageing, Dibenzomethanopentacene, Gas Separation, Membranes, Polymers of Intrinsic Microporosity
A series of dibenzomethanopentacene (DBMP) containing polymers of intrinsic microporosity (PIMs) were synthesised showing both high performance for pure and mixed gas permeability/selectivity and reduced ageing. The data for DBMP‐rich PIMs are close to the latest Robeson upper bounds for several important gas pairs indicating their potential for making gas separation membranes.

Introduction
Polymeric gas separation membranes are of increasing use in industry for oxygen or nitrogen enrichment of air (O2/N2), hydrogen recovery from ammonia purge gases (H2/N2) and natural gas sweetening or biogas upgrading (CO2/CH4). [1] This is due to their low operating cost and energy consumption relative to competing technologies such as cryogenic distillation. High performing polymers for the fabrication of gas separation membranes should demonstrate high permeability (productivity) in combination with good selectivity (purity of the products). [2] However, polymeric membranes suffer from a well‐known trade‐off relationship between their gas permeability (P A) and selectivity (P A/P B). This trade‐off was first quantified by Robeson in 1991 when identifying the upper bounds for gas pairs in plots of log(P A/P B) versus log(P A), which provided a benchmark of polymer performance at that time. [3] Subsequently, the positions of the gas permeability data of a new polymer relative to these upper bounds are used as a universal performance indicator to evaluate its potential performance as a separation membrane. [4]
Polymers of Intrinsic Microporosity (PIMs) [5] have emerged as promising materials for gas separation membranes. [6] In comparison to most other classes of polymer, PIMs are highly gas permeable due to the free volume created by the efficient packing of their contorted macromolecular chains and are reasonably selectivity due to their rigid fused‐ring structures. [7] In 2008 gas permeability data for two PIMs derived from a spirobisindane‐based monomer (PIM‐1 and PIM‐7) were used to redefine the Robeson upper bounds for the permeability/selectivity trade‐off relationship for the majority of gas pairs. [4a] Subsequently, new PIMs with improved gas selectivity were developed by replacing the relatively flexible spirobisindane unit with more rigid structural units such as spirobifluorene, [8] ethanoanthracene, [9] triptycene,[ 4b , 8a , 10 ] methanopentacene [11] and Trögers base.[ 9a , 12 ] In particular, data from PIMs derived from triptycene or benzotriptycene components were used to define new upper bounds for O2/N2, H2/N2 and H2/CH4 in 2015 [4c] and, for the CO2/N2 and CO2/CH4 upper bounds in 2019. [4b] These 2019 upper bounds are of relevance to the performance of potential membranes for carbon capture and for natural gas/biogas upgrading, respectively.
As part of our continuing research programme on identifying useful rigid structural components for making PIMs, we identified the potential of the 2 : 1 adduct from the Diels–Alder reaction between anthracene and norbornadiene (Scheme 1). The 1 : 1 anthracene/norbornadiene adduct, first reported in 1975, [13] is a well‐studied monomer for the preparation of high glass transition temperature polymers using ring‐opening‐metathesis‐polymerisation (ROMP). [14] In contrast, the 2 : 1 adduct, given here the abbreviated name dibenzomethanopentacene (DBMP), was reported only recently. [15] It is worth noting an earlier observation of an unidentified “white solid”, which was removed from the crude product of the 1 : 1 adduct was almost certainly DBMP. [14a] The structure of DBMP has several features that make it an attractive component for making PIMs. For example, 1H NMR signals for the methylene hydrogens of DBMP are found at a highly shielded position (δ H=−1.0 ppm) due to the presence of the ring current of adjacent benzo units . [15] Therefore, this methylene bridge is likely to act as a wedge to ensure structural rigidity (Scheme 1). DBMP also possesses a large rigid cleft and other cavities, that provide intermolecular free volume similar to those of triptycene, [16] which is the structural unit for most upper bound performing PIMs. In addition, it was anticipated that DBMP‐based precursors to PIM could be prepared relatively simply from the Diels–Alder reaction between an appropriate anthracene derivative and norbornadiene. In contrast, the large‐scale synthesis of triptycene derivatives can be difficult due to the required generation of the highly reactive benzyne intermediate.
Scheme 1.

The 1 : 1 and 2 : 1 (DBMP) adducts formed by the Diels–Alder reaction between anthracene and norbornadiene. Product formation is controlled by the ratio of precursors.
Results and Discussion
The target DBMP‐based monomer 1 was designed for PIM synthesis using the reaction of its two catechol reactive units (i.e. 1,2‐dihydroxybenzene) with 2,3,5,6‐tetrafluoroterephthalonitrile (TFTPN) (Scheme 2). The required precursor to monomer 1 is 2,3‐dimethoxyanthracene, which was obtained efficiently from the Friedel–Crafts acylation of phthalic anhydride with veratrole, followed by an acid‐mediated cyclization and sodium borohydride reduction of the anthraquinone intermediate. [17] The Diels–Alder reaction between an excess of 2,3‐dimethoxyanthracene and norbornadiene produces a crude product that is composed of three DBMP regioisomers (Scheme 2: 2 a, 2 b and 2 c)—two of which possess all four of the methoxy groups on the same side of the molecule (2 b and 2 c) and a single isomer 2 a with the methoxy groups on opposite sides of the DBMP unit. Isomers 2 b and 2 c were deemed as undesirable as PIM precursors because a previous study indicated that similar monomers react to form small cyclic oligomers rather than high molecular mass PIMs. [18] Conveniently, the desired DBMP isomer 2 a was formed in greater yield (33 %) and was eluted first during separation by column chromatography. Isomer 2 a could be readily identified using 1H NMR spectroscopy due to the non‐equivalence of the highly shielded methylene hydrogens (δ H=−0.93 and −1.00 ppm) and the large geminal coupling between them (J HH=11 Hz) (Figure S1). Precursor 2 a was transformed to the required biscatechol monomer 1 by a simple demethylation reaction using BBr3 (Scheme 2). Full synthetic details are provided in the Supporting Information.
Scheme 2.
The synthesis of DBMP monomer 2 a and the series of polymers prepared from it. Reagents and conditions: i. xylene, 260 °C, 96 h; ii. BBr3, DCM, RT, 3 h; iii. 2,3,5,6‐tetrafluoroterephthalonitrile and 5,5′,6,6′‐tetrahydroxy‐3,3,3′,3′‐tetramethyl‐spirobisindane, K2CO3, 65 °C, 72 h; iv. NH2OH, NMP, 65 °C, 72 h.
Initially a polymer, denoted as PIM‐DBMP, was prepared from monomer 1 and 2,3,5,6‐tetrafluoroterephthalonitrile (TFTPN) using the well‐established polymerisation based on the formation of benzodioxin linkages that has often been used for PIMs synthesis.[ 5 , 19 ] Unfortunately, PIM‐DBMP proved insoluble in most organic solvents and only partially soluble in quinoline, hence it was difficult to characterise, nevertheless, the solid state 13C NMR spectrum for PIM‐DBMP is consistent with its structure (Figure S2). Therefore, in order to investigate the effect of DBMP incorporation on PIM properties, co‐polymers denoted as PIM‐DBMP x were prepared using molar ratios of x=0.1, 0.25, 0.5, 0.75 and 0.9 of DBMP monomer 1 relative to 5,5′,6,6′‐tetrahydroxy‐3,3,3′,3′‐tetramethylspirobisindane (SBI) (i.e. the monomer used for the synthesis of PIM‐1, Scheme 2). [5] In addition, modification of the nitrile groups of PIM‐DBMP to amidoxime (AO) substituents, [20] to give PIM‐DBMP‐AO, via reaction with hydroxylamine (Scheme 2), provided solubility in the polar aprotic solvent N‐methyl‐2‐pyrrolidone (NMP). It was recently reported that PIM‐DBMP‐AO shows promise as an ionic transport membrane for redox flow batteries. [21]
Details of the physical properties of each polymer are provided in Table 1. The copolymer PIM‐DBMP0.75 was only soluble in quinoline. In contrast, copolymers PIM‐DBMP0.5, PIM‐DBMP0.25 and PIM‐DBMP0.1 all have good solubility in CHCl3 allowing analysis using gel permeation chromatography (GPC), which indicated that these polymers possess high molecular mass. Solubility in CHCl3 also facilitated characterisation by 1H NMR, which confirmed that the ratio of the incorporated DBMP component was consistent with the molar ratio of monomers used for synthesis (Figure S3).The amount of DBMP unit in each of the copolymers could also be estimated from thermal gravimetric analysis (TGA) with each DBMP‐containing polymer showing commensurate weight loss at an onset temperature of 360 °C due to the release of norbornadiene through a reverse Diels–Alder reaction (Figure S4). Although the small quantity produced of each polymer (≈1 g ) was insufficient for a full analysis of mechanical properties, atomic force microscopy (AFM) demonstrated that the Young's modulus increased with greater amounts of the more rigid DBMP component (Table 1 and Figure S5). [22]
Table 1.
Physical properties of DBMP containing polymers with data for PIM‐1 and PIM‐1‐AO included for comparison.
|
Polymer |
M w [g mol−1] |
M w /M n |
SA BET [a] [m2 g−1] |
CO2 uptake[b] [mmol g−1] |
V Total [c] [mL g−1] |
Young's Modulus[d] [MPa] |
Solubility |
|---|---|---|---|---|---|---|---|
|
PIM‐1 |
– |
– |
740–900 |
2.0 |
0.57 |
1250 |
CHCl3 |
|
PIM‐DBMP0.1 |
125 000[e] |
2.1 |
801 |
2.5 |
0.66 |
2400 |
CHCl3 |
|
PIM‐DBMP0.25 |
71 000[e] |
1.7 |
760 |
2.4 |
0.62 |
2550 |
CHCl3 |
|
PIM‐DBMP0.5 |
65 000[e] |
2.3 |
830 |
2.6 |
0.67 |
2870 |
CHCl3 |
|
PIM‐DBMP0.75 |
–[f] |
–[f] |
728 |
2.4 |
0.54 |
3150 |
Quinoline |
|
PIM‐DBMP0.9 |
–[f] |
–[f] |
817 |
2.4 |
0.73 |
– |
Quinoline[g] |
|
PIM‐DBMP |
–[f] |
–[f] |
790 |
2.4 |
0.73 |
– |
Quinoline[g] |
|
PIM‐DBMP‐AO |
–[f] |
–[f] |
645 |
3.1 |
0.38 |
– |
NMP |
|
PIM‐1‐AO |
–[f] |
–[f] |
482 [20] |
2.7 [20] |
0.27 [20] |
– |
DMSO, NMP |
[a] BET surface area (SA BET) calculated from N2 adsorption isotherm obtained at 77 K. [b] CO2 uptakes at 1 bar and 273 K. [c] Total free volume (V Total) estimated from N2 adsorption at p/p 0 =0.98. [d] Young's modulus of membranes measured by atomic force microscopy (AFM). [e] From GPC analysis relative to polystyrene standards. [f] Not measured due to insolubility in an appropriate solvent for GPC. [g] Partially soluble in quinoline.
For all DBMP containing polymers, the N2 adsorption isotherms obtained at 77 K show high N2 uptakes at low relative pressures (p/p 0<0.1 bar) (Figure S6), indicative of intrinsic microporosity. Apparent BET surface areas (SA BET) of all copolymers in their powder form are in the range of 730–830 m2 g−1 similar to that of PIM‐1, for which literature values are in the range 740–900 m2 g−1 (Table 1). The shape of each adsorption isotherm is similar to that of PIM‐1, with distinct hysteresis between adsorption and desorption, which can be attributed to swelling of the polymer during N2 uptake (Figure S6). All DBMP‐containing polymers show significantly larger CO2 uptake at 1 bar and 273 K (2.4–2.6 mmol g−1) than PIM‐1 (2.0 mmol g−1) (Table 1, Figure S7), indicating a greater concentration of ultramicropores (<0.7 nm). However, there is no clear trend of increasing CO2 uptake for greater incorporation of DBMP. The modified polymer PIM‐DBMP‐AO demonstrates both greater SA BET and CO2 uptake at 1 bar and/273 K than the equivalent PIM‐1‐AO (Table 1, Figure S7).[ 20 , 23 ] The N2 isotherm for PIM‐DBMP‐AO (Figure S6) demonstrates a relatively small degree of hysteresis between adsorption and desorption, similar to that seen for isotherms of PIM‐1‐AO, which is consistent with reduced swelling due to greater inter‐chain cohesion from hydrogen‐bonding.
Flexible and defect‐free self‐standing membranes of PIM‐DBMP0.1, PIM‐DBMP0.25, PIM‐DBMP0.5 were prepared by casting their CHCl3 solutions, whereas PIM‐DBMP0.75 was cast from its quinoline solution (Figure S8). PIM‐DBMP0.9 and PIM‐DBMP gave brittle films from quinoline, in which they are only partially soluble, however, a robust film of neat PIM‐DBMP‐AO could be prepared from NMP solution. Each film, with a thickness between 88–125 μm, was treated with methanol to remove the residual casting solvent and reverse the effects of physical ageing prior to gas permeability measurements. [6]
The pure gas permeability of each film was measured initially within a day of methanol treatment, then after moderate ageing (33–140 days) and finally after long‐term ageing (>2.5 years). The gas permeability coefficients and ideal gas selectivities of the novel polymers, together with those of PIM‐1 and PIM‐1‐AO for comparison, are provided in Table 2. Data points are placed on Robeson plots for CO2/CH4, CO2/N2, O2/N2, H2/N2, H2/CH4 and He/N2 (Figure 1a–f).
Table 2.
Membrane Thickness (l, μm), gas permeabilities (P A, Barrer; 1 Barrer=10−10 cm3 STP cm cm−2 s−1 cm Hg−1) and ideal selectivities (P A/P B) of freshly methanol treated and aged films measured at 25 °C and 1 bar of feed pressure.
|
Polymer |
l [μm] |
Permeability (Barrer) |
Selectivity |
||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
|
N2 |
O2 |
CO2 |
CH4 |
H2 |
He |
CO2/CH4 |
CO2/N2 |
O2/N2 |
H2/N2 |
H2/CH4 |
He/N2 |
||
|
PIM‐1 [8b] |
128 |
823 |
2270 |
13 600 |
1360 |
5010 |
1950 |
10.0 |
16.5 |
2.8 |
6.1 |
3.7 |
2.4 |
|
(1200 days) [8c] |
110 |
125 |
600 |
2840 |
159 |
2400 |
1140 |
17.9 |
22.7 |
4.8 |
19.2 |
15.1 |
9.1 |
|
| |||||||||||||
|
PIM‐DBMP0.1 |
81 |
1000 |
3310 |
18 900 |
1620 |
7810 |
2960 |
11.7 |
18.9 |
3.3 |
7.8 |
4.8 |
3.0 |
|
(33 days) |
81 |
506 |
2120 |
10 700 |
688 |
6460 |
2580 |
15.5 |
21.1 |
4.2 |
12.8 |
9.4 |
5.1 |
|
(140 days) |
81 |
403 |
1780 |
8500 |
517 |
5860 |
2430 |
16.4 |
21.1 |
4.4 |
14.5 |
11.3 |
6.0 |
|
(1154 days)[a] |
102 |
390 |
1580 |
7900 |
488 |
4560 |
1860 |
16.2 |
20.3 |
4.1 |
11.7 |
9.4 |
4.8 |
|
| |||||||||||||
|
PIM‐DBMP0.25 |
127 |
1180 |
3880 |
21 600 |
1930 |
8880 |
3270 |
11.2 |
18.3 |
3.3 |
7.5 |
4.6 |
2.8 |
|
(34 days) |
127 |
652 |
2680 |
13 200 |
884 |
7620 |
2940 |
14.9 |
20.2 |
4.1 |
11.7 |
8.6 |
4.5 |
|
(134 days) |
127 |
639 |
2530 |
12 200 |
811 |
6960 |
2690 |
15.0 |
19.0 |
4.0 |
10.9 |
8.6 |
4.2 |
|
(1156 days)[a] |
121 |
455 |
1960 |
9680 |
569 |
5710 |
2230 |
17.0 |
21.3 |
4.3 |
12.6 |
10.3 |
4.9 |
|
| |||||||||||||
|
PIM‐DBMP0.5 |
125 |
1210 |
4080 |
22 200 |
1840 |
8970 |
3150 |
12.1 |
18.3 |
3.4 |
7.4 |
4.9 |
2.6 |
|
(118 days) |
125 |
501 |
2320 |
11 980 |
630 |
7230 |
2720 |
19.0 |
24.0 |
4.6 |
14.4 |
11.5 |
5.4 |
|
(1133 days) |
125 |
503 |
2380 |
11 000 |
637 |
7290 |
2850 |
17.3 |
22.0 |
4.7 |
14.5 |
11.4 |
5.7 |
|
(1276 days) |
125 |
400 |
1970 |
9120 |
479 |
6680 |
2580 |
19.1 |
22.8 |
4.9 |
16.7 |
14.0 |
6.5 |
|
(1394 days)[b] |
125 |
408 |
2126 |
9573 |
459 |
7784 |
3041 |
20.9 |
23.5 |
5.2 |
19.1 |
17.0 |
7.5 |
|
| |||||||||||||
|
PIM‐DBMP0.75 |
88 |
827 |
3390 |
20 300 |
1500 |
9530 |
3350 |
13.5 |
24.6 |
4.1 |
11.5 |
6.3 |
4.1 |
|
(55 days) |
88 |
386 |
2130 |
10 500 |
528 |
7920 |
3080 |
20.0 |
27.4 |
5.5 |
20.5 |
15.0 |
8.0 |
|
(880 days) |
88 |
316 |
1640 |
7560 |
381 |
6660 |
2680 |
19.8 |
23.9 |
5.2 |
21.0 |
17.5 |
8.5 |
|
(1022 days) |
88 |
239 |
1340 |
5970 |
278 |
5820 |
2400 |
21.5 |
25.0 |
5.6 |
24.4 |
21.0 |
10.0 |
|
| |||||||||||||
|
PIM‐DBMP‐AO |
89 |
106 |
691 |
3520 |
106 |
4530 |
1720 |
33.2 |
33.2 |
6.5 |
42.7 |
42.7 |
16.2 |
|
(70 days) |
89 |
84 |
561 |
2910 |
93 |
3810 |
1420 |
31.4 |
34.6 |
6.7 |
45.1 |
41.1 |
16.8 |
|
(1011 days) |
89 |
72 |
415 |
2260 |
82 |
2670 |
1080 |
27.6 |
31.2 |
5.7 |
37.0 |
32.6 |
15.0 |
|
(1152 days) |
89 |
77 |
458 |
2290 |
83 |
2710 |
1070 |
27.6 |
29.7 |
6.0 |
35.1 |
32.6 |
13.8 |
|
(1267 days)[b] |
89 |
42 |
262 |
1353 |
40 |
1839 |
758 |
33.7 |
32.5 |
6.3 |
44.1 |
45.8 |
18.2 |
|
| |||||||||||||
|
PIM‐1‐AO [23] |
90 |
33 |
147 |
1150 |
34 |
912 |
412 |
34.0 |
33.0 |
4.5 |
27.6 |
26.8 |
12.5 |
|
| |||||||||||||
|
PIM‐1‐AO [24] |
40 |
18 |
75.0 |
625 |
21.5 |
417 |
218 |
29.0 |
34.7 |
4.2 |
23.2 |
19.4 |
12.1 |
[a] Second membrane of the same polymer batch. [b] Sample tested after the mixed gas permeability measurements.
Figure 1.
Robeson plots for the a) CO2/CH4, b) CO2/N2, c) O2/N2, d) H2/N2, e) H2/CH4 and f) He/N2 gas pairs showing the position of the gas permeability and ideal selectivity data for films of PIM‐DBMP0.1 (•,▴,▪,♦), PIM‐DBMP0.25 (•,▴,▪,♦), PIM‐DBMP0.5 (•,▴,▪,♦,x), PIM‐DBMP0.75 (•,▴,▪,♦), PIM‐DBMP‐AO (•,▴,▪,♦,x). All data are measured at 25 °C unless stated otherwise, and freshly MeOH treated samples are indicated as circles (○) and further aging is indicated in the order ▵<□<◊<x, where aged samples tested after the mixtures are indicated as (x,x). Reported data from equivalent films of PIM‐1[ 8b , 8c ] (•,▪) and PIM‐1‐AO [23] (x) are shown for comparison. The groups of open symbols in the Robeson plots for CO2/CH4 and CO2/N2 represent the mixed gas permeability data from Figure 3 for PIM‐DBMP0.5 (○,▵) and PIM‐DBMP‐AO (○,▵). The upper bounds are represented by blue lines (1991), red lines (2008), yellow lines for O2/N2, H2/N2 and H2/CH4 (2015), purple lines for CO2/N2 and CO2/CH4 (2019), and a dashed line for CO2/CH4 mixtures (2018).
In direct comparison with the equivalent data for PIM‐1,[ 8b , 8c ] it is apparent that even the relatively small amount of DBMP within PIM‐DBMP0.1 enhances significantly both gas permeability and selectivity. The ideal selectivity tends to increase further with increasing amount of the rigid DBMP unit and is highest for PIM‐DBMP0.75. In line with the usual behaviour of PIMs, ageing of the films reduces permeability and improves selectivity. This results in data for aged films being placed well above the 2008 Robeson upper bounds. Data for PIM‐DBMP0.75 and PIM‐DBMP‐AO lie close to, or in some cases slightly above, the latest upper bounds (Figure 1).
The origin of the selectivity enhancement from the incorporation of the DBMP unit and the AO group was investigated by the analysis of gas diffusion coefficients (D A, Table S1) and solubility coefficients (S A, Table S2) obtained from the time‐lag data during gas permeability measurements. Gas transport through a polymer is described by the solution‐diffusion model with P A=D A×S A, so that selectivity (P A/P B) for a polymer is the product of diffusivity selectivity (D A /D B) and solubility selectivity (S A /S B). [25] The order of decreasing diffusivity is He>H2>O2>CO2>N2>CH4 as determined by the effective diameter, d eff, [26] of the gas molecule. It has been established that the steepness of the slope for the correlation between D A and the square of gas effective diameter of O2, CO2, N2 and CH4 is a good indicator of the diffusivity selectivity for a polymer (Figure 2). [26] For PIMs this slope is characteristically different for the small molecules He and H2, as reported previously. [27] Clearly, the He and H2 diffusivity is significantly higher in all copolymers than in PIM‐1, most likely due to a more interconnected free volume network in the copolymers. The slope of D vs. d 2 eff is steeper for the PIM copolymer PIM‐DBMP0.75 containing the highest ratio of DBMP to SBI units and is even greater for PIM‐DBMP‐AO. This enhanced molecular sieving is attributable to the greater rigidity of the DBMP unit relative to that of the SBI unit. These values for diffusion selectivity are similar to those observed for the upper bound‐defining triptycene‐based PIMs and arise from the restricted transport of a larger gas molecule through the rigid polymer matrix. [4b] Transport of larger gas molecules involves a hopping mechanism from one element of free volume to another and requires greater thermal energy for the necessary opening to occur via vibrations of the rigid polymer.[ 4b , 25 , 27 ] Increasing diffusion selectivity on aging is the main cause of the enhanced ideal gas selectivity and this can be attributed to preferential loss of larger free volume elements (>0.7 nm) over those of smaller diameter.
Figure 2.

Correlation of diffusivity coefficient (D A) with the squared effective gas diameter (d 2 eff) of gas molecule (He=1.78, H2=2.14, O2=2.89, CO2=3.02, N2=3.04, CH4=3.18 Å)[26] for freshly methanol treated films of PIM‐DBMP0.1 (•), PIM‐DBMP0.25 (•), PIM‐DBMP0.5 (•), PIM‐DBMP0.75 (•), PIM‐DBMP‐AO (•), and PIM‐1 (•).
Generally, the gas solubilities are high, a common feature for all PIMs, and the particularly high values of CO2 solubility, followed by those of CH4 (Table S2), are reflected in the order of decreasing gas permeabilities being CO2>H2>O2>He>CH4>N2 for all the PIM‐DBMP copolymers. In most cases, the solubility selectivity remains constant as the ratio of DBMP to SBI units increases and as the films age. The exceptionally high values for S are related to the amount of free volume present in the polymer (i.e. intrinsic microporosity). Therefore, its loss during prolonged aging causes a decrease in S . For the CO2/N2 gas pair, the high permselectivity is predominantly due to the large difference in solubility, and P /P is thus proportional to S /S with D /D being close to unity (Table S1). Therefore, ageing of the films provides a lower contribution of solubility to the overall ideal selectivity (P /P ). This is especially the case for PIMs with high DBMP content, where long‐term ageing significantly reduces P /P . Similar ageing behaviour has been observed for other PIMs based on rigid structural units. [8c]
For PIM‐DBMP‐AO, the initial gas permeability is much lower but the ideal selectivity is higher with respect to the other DBMP‐based PIMs. This can be explained by the polymer possessing a much denser initial state after methanol treatment, induced by the greater inter‐chain cohesion due to extensive hydrogen bonding between the amidoxime groups. [23] This leads to slower gas diffusion but more pronounced size‐sieving properties, highlighted by the much steeper slope in Figure 2.
Physical ageing is a general feature of glassy polymers, in which the polymer develops a more tightly packed state leading to a reduction in gas permeability. For high free volume polymers such as PIMs the permeability reduction can be very large. Extended studies (>1000 days) were conducted on the films to investigate the impact of the DBMP unit on gas permeability (Table 2). Overall, the gas permeability reduction for the DBMP copolymer films is in the range 36–50 %, which is significantly less than that of a similar film of PIM‐1 (74 %) and a similarly deep‐aged film of a spirobifluorene‐based PIM (PIM‐SBF‐1; 66 %). [8c] This suggests that the incorporation of DBMP units significantly slows physical ageing of the films. Long‐term ageing of the PIM‐DBMP‐AO film results in only a small overall reduction in gas permeabilities but, unusually, the loss of permeability is greater for smaller gas molecules (He and H2) due to a significant reduction of their diffusivity (Figure S9). This results in a relatively small decrease in selectivity, which is likely to be associated with loss of small elements of free volume (<0.7 nm). This unusual ageing behaviour appears to be related to the AO modification and this should be investigated for other AO‐modified PIMs. Nevertheless, data for the long‐term aged film of PIM‐DBMP‐AO are still impressive (e.g. P =262 Barrer; P /P =6.3) especially in comparison with those of PIM‐1‐AO.
Based on the pure gas permeabilities and ideal selectivities, we envisage the potential application of these membranes in biogas upgrading or in CO2 capture from flue gas. The mixed gas permeability was therefore measured up to 6 bar with mixtures of CO2/CH4 (35/65 vol %) and CO2/N2 (15/85 vol %), representative for biogas and CO2 rich flue gas, respectively, using our previously reported customized setup. [28] Under much harsher conditions, with high pressures and CO2 rich gas streams, PIMs are known to be subject not only to physical aging, as already discussed above for the single gases, but also to plasticization. [29] Weaker effects were also observed in this work, where PIM‐DBMP‐AO shows a slight hysteresis between the pressure‐increase steps and the subsequent pressure‐decrease steps for CO2/CH4 (Figure 3a) and CO2/N2 mixtures (Figure 3c), in both cases with an increase in permeability during depressurization, and only for CO2/CH4 a slight loss in selectivity. This suggests a weak dilation of the membrane upon exposure to the higher CO2 partial pressures (concentrations), which is not recovered on the time scale of the measurements, due to the slow chain dynamics of the very rigid ladder polymers. Instead, PIM‐DBMP0.5 only shows hysteresis for the CO2/CH4 mixture (Figure 3b), but in this case the CO2 permeability slightly increases and the CH4 permeability decreases, resulting in a somewhat higher selectivity after exposure to the higher CO2 partial pressures. This suggests a simultaneous dilation (favouring CO2 permeation) and physical aging (affecting negatively especially the larger CH4 molecules), probably resulting in a narrowing of the bottle necks between the free volume elements. [27]
Figure 3.
Mixed gas permeability of CO2(•,◯) CH4, (♦, ◊) N2 (•, ◯) and selectivity of CO2/CH4 (35/65 Vol%; ♦, ◊) and CO2/N2 (15/85 Vol%; ▴, ▵) mixtures in PIM‐DBMP‐AO (a, c) and PIM‐DBMP0.5 (b, d). Solid symbols represent the increasing pressure steps and open symbols the subsequent decreasing pressure steps. Single gas permeabilities at 1 bar in the mixed gas setup (□), are shown for comparison and show the nearly perfect overlap with the mixed gas permeation data on the same setup. Single gas permeabilities at 1 bar in the fixed volume time lag setup are also reported for comparison between the two methods (x). Lines are plotted as a guide to the eye and the arrows point towards the axis where to read the data. The maximum stage cut is CO2<1.5 %, N2<0.65 % and CH4<0.65 % in PIM‐DBMP0.5, and CO2<0.45 %, N2<0.01 % and CH4<0.008 % in PIM‐DBMP‐AO.
In all cases, the CO2 permeability tends to decrease with increasing pressure for the CO2/CH4 (35/65 vol %) mixture and the CO2/N2 (15/85 vol %) mixture, as already observed under similar conditions for other PIMs, such as PIM‐2, [30] but this decrease is much stronger in PIM‐DBMP0.5 than in PIM‐DBMP‐AO. Especially for the CO2/CH4 mixture, it also leads to a modest decrease in the selectivity, whereas for the CO2/N2 (15/85 vol %) mixture the decrease in selectivity is only observed in PIM‐DBMP0.5. The decrease in permeability is a typical consequence of the dual mode sorption mechanism, while at higher pressures than those used in this work, plasticization may lead to more complex phenomena, such as an increase of CO2 permeability with pressure and a subsequent decrease with time [31] and usually a reduction of the mixed gas selectivity at higher pressures, [1c] although an increase in selectivity has also been observed for PIMs with particularly favourable competitive sorption. [32] The mixed gas permeability data for PIM‐DBMP0.5 are similar to that obtained from single gas measurements and close to the proposed 2019 CO2/CH4 and CO2/N2 upper bounds (Figure 1a and b). PIM‐DBMP‐AO also exhibits a promising performance in mixed gas measurements, locating far above the 2018 CO2/CH4 upper bound for mixed gas [1c] (Figure 1a). For comparison, the single gas permeation measurements, determined on the same cross‐flow apparatus (Figure 3, □), show minor differences with the mixed gas permeation measurements. Instead, the measurements on the fixed volume time lag apparatus (Figure 3, ×) are systematically lower in both polymers, especially for CO2 (10–20 %), resulting in a slightly lower ideal selectivity as well. This is most likely due to the different measurement principle in the two instruments, but may in part also be a result of the sample history, since measurements in the fixed volume setup were done after the entire cycle with the gas mixtures.
Conclusion
The recently reported DBMP unit is shown to be a useful structural component for making PIMs that show promise for the fabrication of gas separation membranes. Synthesis of the key DBMP monomer 1 is relatively straightforward and could be more easily carried out on a large scale relative to that of triptycene based monomers that provide high performance PIMs. Despite the lack of solubility for the homopolymer PIM‐DBMP in organic solvents, the amidoxime modified derivative (PIM‐DBMP‐AO) proved soluble in NMP from which robust films could be cast. Incorporation of the DBMP unit into random copolymers with SBI units also provided samples that could be cast as films from chloroform solution. These films show that DBMP incorporation enhances both permeability and selectivity relative to PIM‐1 and suggests that DBMP has a similar beneficial effect on performance as triptycene or benzotriptycene as a structural unit. From a practical perspective, the co‐polymer PIM‐DBMP0.5 provides an excellent compromise between performance (i.e. near to the upper bound for several gas pairs) and ease of processability (i.e. freely soluble in chloroform). PIM‐DBMP0.50 would also be more cost‐effective due to the use of the inexpensive SBI co‐monomer in its synthesis. The membranes maintain most of their excellent performance under mixed gas permeation conditions with CO2/CH4 and CO2/N2 mixtures, opening interesting perspectives in biogas upgrading and carbon capture from CO2 rich flue gas.
Conflict of interest
The authors declare no conflict of interest.
1.
Supporting information
As a service to our authors and readers, this journal provides supporting information supplied by the authors. Such materials are peer reviewed and may be re‐organized for online delivery, but are not copy‐edited or typeset. Technical support issues arising from supporting information (other than missing files) should be addressed to the authors.
Supporting Information
Acknowledgments
Prof. M. P. De Santo (University of Calabria) is gratefully acknowledged for help with the AFM force spectroscopy measurements. The project is partially sponsored by the Department of the Defence Threat Reduction Agency grant number HDTRA1‐18‐1‐0054.
Chen J., Longo M., Fuoco A., Esposito E., Monteleone M., Comesaña Gándara B., Carolus Jansen J., McKeown N. B., Angew. Chem. Int. Ed. 2023, 62, e202215250; Angew. Chem. 2023, 135, e202215250.
Contributor Information
Prof. Johannes Carolus Jansen, Email: johannescarolus.jansen@cnr.it.
Prof. Neil B. McKeown, Email: neil.mckeown@ed.ac.uk.
Data Availability Statement
The data that support the findings of this study are available in the Supporting Information of this article.
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Data Availability Statement
The data that support the findings of this study are available in the Supporting Information of this article.



