CO2 Separation by Imide/Imine Organic Cages

Abstract Two novel imide/imine‐based organic cages have been prepared and studied as materials for the selective separation of CO2 from N2 and CH4 under vacuum swing adsorption conditions. Gas adsorption on the new compounds showed selectivity for CO2 over N2 and CH4. The cages were also tested as fillers in mixed‐matrix membranes for gas separation. Dense and robust membranes were obtained by loading the cages in either Matrimid® or PEEK‐WC polymers. Improved gas‐transport properties and selectivity for CO2 were achieved compared to the neat polymer membranes.


Introduction
The growing concern about global warming is stirring worldwide interest in materials and technologies for pre-and postcombustion CO 2 capture and for clean energy production. [1,2] Among the technologies currently applied, membrane-based separation is more cost-effective and energy-efficient, but suffers from a well-known trade-off between permeability and selectivity. [3,4] This point has recently been addressed by incorporating intrinsically porous materials (IPMs), selective for gases of interest, into polymeric membranes. The resulting mixed-matrix membranes (MMMs) can boost the performance of neat membranes by combining the scalability and processability of polymers with the selectivity of fillers. [5] Among the investigated IPMs, molecular materials [6] -such as organic cages [7,8] and macrocyclic compounds [9] -have the advantage of being more soluble in organic solvents (compared to, e. g., metal-organic and covalent organic frameworks) [10][11][12] and therefore more easily processable in the preparation of MMMs. [13] One of the first successful attempts to obtain MMMs, using porous organic cages (POCs) [7] as fillers, was achieved by crystallizing the cage molecules within the polymer membrane. [14] The resulting MMMs showed enhanced permeability and resistance to physical aging. Significant enhancements of both permeability and selectivity were achieved by embedding a mixture of amorphous POCs into a composite membrane. [15] In this case, a fourfold improvement in permeability was reached for CO 2 , N 2 , and CH 4 .
Over the last decades, organic cages such as azacryptands have been extensively studied in molecular recognition as selective hosts for, for example, pollutants and drugs in aqueous solution and complex matrices. [16][17][18] Following the seminal work by Cooper et al. in 2009, cages have also gained interest as porous materials for gas capture and separation. In fact, beside their intrinsic cavity, POCs can display extrinsic and interconnected pores deriving from their packing in the solid state. For gas uptake and separation applications, [19][20][21][22][23] POCs have been studied as either crystalline or amorphous/glassy solids, [7,24,25] and more recently in the liquid state. [26] Over the last few years, POCs with different geometries (e. g., cubic, [27] prismatic, [28] tetrahedral [29,30] ) have been developed; in most cases, the dynamic covalent chemistry approach (e. g., imine condensation, alkyne metathesis, boronate ester formation, etc.) [31] was applied for their syntheses.
The most common POCs are probably the systems obtained by imine condensation between suitably designed polyaldehydes and polyamines. [9,32,33] The [4 + 6] imine cages reported by Mastalerz et al., [8] for instance, display porosity features that are comparable to those achieved with some covalent organic frameworks. The selectivity for CO 2 vs. N 2 (or CH 4 ) can be efficiently enhanced in macrocyclic hosts and cages by decorating their cavity with heteroatoms (e. g., O, N), polar groups (e. g., phenol, pyrrole, carbonyl) [34][35][36] or π-acceptor moieties, [37] that can establish hydrogen bonding or dipolequadrupole interactions with CO 2 . A high affinity for CO 2 was obtained, for example, by means of urea-based cucurbituril macrocycles. [6,38] X-ray diffraction studies on the hydrogenbonded framework generated by curcubit [6]uril molecules (CB [6]), revealed that the adsorbed CO 2 molecules interact with the carbonyls of the CB [6] units, and establish H-bonds with the CÀ H groups of CB [6] walls, exhibiting a CO 2 heat of adsorption of 33 kJ mol À 1 .
Among porous cages, imide-based systems recently showed interesting gas adsorption features. In particular, the soft porous crystals of the polymorphic cage obtained by condensation of a flexible polyamine with a rigid dianhydride showed a peculiar CO 2 -induced breathing behavior. [39] The interaction of CO 2 with the cage cavity promoted the reversible switching of the cage material from a "closed" nonporous phase to a gate-open structure. On the other hand, the imide/imine cages reported by Coskun et al. [40] showed shape-persistence in the solid state and a high affinity for CO 2 . The cage containing pyromellitic diimide units, in particular, featured a good selectivity for CO 2 versus N 2 (i. e., 45.5 at 273 K), as demonstrated by applying the ideal adsorbed solution theory (IAST) [41] to gas-adsorption studies results.
In this work, we report two novel imide/imine organic cages (see C1 and C2 in Scheme 1), prepared by [2+3] imine condensation of two different polyamines with a novel dialdehyde compound, containing the rigid bicyclo[2.2.2]oct-7ene-2,3,5,6-tetracarboxydiimide core. We chose to investigate this type of cages because the large number of heteroatoms and polar groups on their framework could increase the selectivity for CO 2 with respect to N 2 and CH 4 . We employed the bicyclic bridge-based dialdehyde for the synthesis because its bent structure could have a positive effect on the formation of a cage, disfavoring the possible formation of oligomers/ polymers (this was confirmed by our results). Gas-adsorption studies on the cage materials showed a good selectivity for CO 2 over N 2 (for carbon capture and storage) and CH 4 (for biogas upgrading) at 1-5 bar, which are the typical pressures employed during vacuum swing adsorption (VSA). The cages were also tested as fillers in MMMs, using either Matrimid® or PEEK-WC as the polymer matrix. Preliminary studies with CO 2 , N 2 , and CH 4 pointed out an improvement of the gas-transport properties of the MMMs compared to the neat polymer membranes.

Results and Discussion
Synthesis and characterization C1 and C2 were synthesized by imine condensation of either N,N-bis(2-aminoethyl)ethylenediamine (tren) or the 1,3,5tris(aminomethyl)-2,4,6-triethylbenzene (for C1 and C2, respectively) with a bis(dicarboximide)-based dialdehyde (see details in the Supporting Information). Both cages precipitated as pure solids from the reaction mixture in acetonitrile (MeCN) as a solvent, and the structures were confirmed by 1 H and 13  Scanning electron microscopy (SEM) images suggest that the C1 cage precipitated as a mixture of an amorphous material in nanometric form and larger prismatic crystals ( Figure S1, while C2 showed a crystalline prismatic well-defined morphology ( Figure S5). Higher crystallinity of C2 compared to C1 was confirmed by powder X-ray diffraction (PXRD) analysis (Figures S2 and S6).
The Fourier transform infrared spectroscopy-attenuated total reflectance (FTIR-ATR) spectra of the two compounds show the typical C=N stretching features at 1644 and 1636 cm À 1 respectively for C1 and C2 ( Figures S3 and S7). Peaks assigned to the diimide groups (i. e., symmetric and asymmetric stretching of C=O) appear at 1704 and 1774 cm À 1 for C1, 1709 and 1779 cm À 1 for C2.
The thermal stability of C1 and C2 was assessed through thermogravimetric analysis (TGA). Apart from a small weight loss for the C1 sample, very likely from humidity, C1 and C2 showed decomposition only starting from around 220 and 330°C, respectively ( Figures S4 and S8).

Single-crystal X-ray diffraction (SCXRD) studies
Single crystals suitable for XRD study were obtained for both C1 and C2. As revealed by the SCXRD analysis of this crystalline C1-α phase (see the Supporting Information for details), each molecular cage assumes an elongated conformation with

Chemistry-A European Journal
Research Article doi.org/10.1002/chem.202201631 collapsed cavity (Figure 1). The distance between the apical tertiary amines measures approximately 22 Å, and the bicyclo[2.2.2]oct-7-ene containing groups are oriented so as to point their HC=CH towards the cavity centre. The average shortest intramolecular separation between the HC=CH hydrogens of the three cage-arms is about 3.0 Å. This closed conformation is stabilized by intramolecular H-bonding interactions between carbonyl oxygens and hydrogen atoms (aryl-H; Figure S9) of different cage arms. The asymmetric unit contains three crystallization solvent molecules (two acetonitrile and one water), as shown by the formula, that occupy extrinsic pores.
The cages are tightly packed, generating a thick network of intermolecular H-bonds ( Figure 2). These involve the carbonyl oxygens as H-acceptors, and the C aryl -H and C sp 3À H bonds of bicyclo[2.2.2]oct-7-ene-based spacers as H donors. Geometrical features of these weak CÀ H···O interaction are reported in Table S2. Considering the crystal structure without guest molecules, the calculated voids accessible to a molecular probe of 1.72 Å radius (generally used for CO 2 ) [42] only correspond to 0.1 % of unit cell volume ( Figure 2, see the Supporting Information for details). [43] The calculated PXRD pattern of C1-α was compared to the experimental one acquired on the microcrystalline powder of formula C 90 H 78 N 14 O 12 · 4 H 2 O, precipitated from the reaction mixture, and used in the studies with gases ( Figure S2). Although the calculated diffraction peaks of C1-α can be recognized in the experimental pattern, this is dominated by the "halo" of an amorphous component. Undoubtedly, the effect of the lattice solvent plays a crucial role in supporting the ordered crystal packing, anyway we can speculate that the phase of the bulk solid corresponds to the structure reported in Figures 1 and 2.
In the case of C2, by slow cooling of a saturated solution of the cage in dimethyl sulfoxide (DMSO), we obtained crystals corresponding to the formula C 108 H 96 N 12 O 12 · 11 DMSO · 5 H 2 O which crystallized in the monoclinic system (C2-β, P2 1 /n; a = 24.354 (3) Figure 3. As the crystals proved very fragile and unstable outside of their mother liquor, especially at room temperature, SCXRD data were collected at 190 K. Any attempt to measure them at lower temperatures (in the range 90-170 K) failed due to the collapse of the crystalline lattice. The crystal structure (see below) finally unveiled that the very large amount of lattice DMSO molecules was most likely at the origin of the intrinsic fragility. A thermal shock originates the collapse of the crystalline phase in consequence to the failure of the required fast ordered rearrangement in the supramolecular motifs involving DMSO. Analysis of the data showed that, compared to the empty and collapsed C1 cage, the cavity of C2 is open, large, and filled with crystallization molecules. The cage has an elongated prolate spheroid shape with a separation between the triethylaryl platforms of about 20 Å (calculated by the  . The free volume, as determined by the solvent-accessible surface for a molecular probe of 1.72 Å radius, is reported in yellow. [43] H-bonding interactions are highlighted as dashed lines. H atoms are drawn as small sticks, except for the ones involved in CÀ H···O hydrogen bonds.   Table S2. However, the cage packing is less dense compared to C1-α and, as previously mentioned, many additional guest solvent molecules co-crystallized within the pores. In fact, the unit cell totally contains 16 crystallization solvent molecules (11 DMSO, 5 H 2 O), which is significant compared to the three found in the unit cell of C1-α (2 MeCN, 1 H 2 O).
For the crystal structure without guest molecules, the calculated voids correspond to 9.8 % of unit cell volume (Figures 4 and S10). [43] It is worthwhile mentioning that, as expected, the calculated PXRD pattern for the C2-β phase is clearly different from the experimental one ( Figure S6), recorded on the microcrystalline phase of formula C 108 H 96 N 12 O 12 · 2 H 2 O (from now on called C2-γ).
New crystals, suitable for SCXRD, were also obtained from a saturated solution of C2 in MeCN. Single-crystal data were collected at 300 K on the XRD2 beamline [44] at the Elettra synchrotron light-source (Trieste, Italy) at a wavelength of 0.6199 Å. In this solvent, C2 crystallizes forming a triclinic phase (hereafter C2-δ) containing two molecules as asymmetric unit . At 300 K, the solvent trapped in the C2-δ cavities is in a disordered form. A solvent mask was calculated, and 768 electrons were found in a volume of 3648 Å 3 in two voids per unit cell. This is consistent with the presence of about 5.8 MeCN molecules per asymmetric unit, which account for 770 electrons per unit cell, or C 108 H 96 N 12 O 12 · 3 MeCN. The average separation between the HC=CH hydrogens is calculated to be 6.1 Å for the single molecule, with a standard deviation of 1.66 Å. However, C2 molecules in phase C2-δ form partly entangled dimers (the single cages are highlighted in blue and yellow, in Figure 5) and the effective inner radius will be smaller than that expected for a single molecule. Comparing C2-β and C2-δ crystal structures, it is worth noting that the latter crystallizes with a cage molecule (yellow in Figure 5) exhibiting one of the external CH 3 groups oriented facing toward the inner void, while the structure of the second molecule (blue in Figure 5) is like that of C2-β. In addition, the cage molecules are more densely packed in C2-δ than in the C2-β phase, and the calculated voids potentially accessible to CO 2 are reduced to 1.9 % of unit cell volume ( Figure S11). As found for C2-β, the calculated PXRD pattern is different from the experimental one recorded on C2γ ( Figure S6).

Gas-adsorption studies on C1 and C2
Gas-adsorption studies were performed on C1 and C2 using CO 2 , N 2 , and CH 4 as probe gases. As already anticipated, the C1 solid, as precipitated from the reaction mixture, was principally amorphous. On the other hand, C2 was collected as a microcrystalline powder, C2-γ.
Before performing gas sorption studies, C1 and C2 samples were homogenized in a ball-mill, and then activated by heating overnight at 350 K under vacuum to remove traces of humidity.
Brunauer-Emmett-Teller surface areas (SA BET ) were initially determined using N 2 as the probe gas. The isotherm curves showed little N 2 adsorption at 77 K ( Figures S17 and S18). The BET surface areas were calculated at a relative pressure p/p 0 < 0.1 showing i) an apparent surface area of~44 m 2 g À 1 and a pore volume of 3.4 × 10 À 2 cm 3 gÀ 1 for C1; ii) an apparent surface area of~35 m 2 g À 1 and a pore volume of 8.2 × 10 À 2 cm 3 gÀ 1 for C2. The interpretation of the isotherms and the data suggest that both materials are either nonporous or that the pores are buried and not readily accessible, especially at 77 K, where the adsorption kinetic is very slow. The pronounced hysteresis may support the second option ( Figures S12 and S13). [45,46] The N 2 adsorption was also measured at room temperature (298 K).  This is important when used to calculate the selectivity over CO 2 , to simulate post-combustion conditions that are normally reported at room temperature. As expected, the adsorption at this temperature is much lower than that at 77 K, with relatively low or almost no adsorption up to 1 bar ( Figure S14).
To assess the affinity for CO 2 and the separation selectivity over N 2 and CH 4 , the CO 2 uptake was measured at both 273 and 298 K. The lower temperature is also crucial to assess the pore size distribution (PSD) [46,47] by both nonlocal density functional theory (NLDFT) and Horvath-Kawazoe (HÀ K) methods. NLDFT is considered one of the most reliable methods to evaluate PSD, and certainly the one that gives more information about the contribute of each different pore size. PSD is preferably assessed by CO 2 adsorption at 273 K over N 2 at 77 K, as the latter cannot penetrate pores smaller than 5 Å whereas CO 2 allows the evaluation of pores~3.5 Å, which is considered as the ultra-microporous region. [46,48,49] At 273 K, C1 and C2 samples exhibited a CO 2 uptake of 17.9 cm 3 g À 1 (0.799 mmol g À 1 ) and~26 cm 3 g À 1 (1.161 mmol g À 1 ), respectively. Despite these values not being very high, the uptake is much larger than what we expected from the low N 2 adsorption. The CO 2 isotherms (Figures S15 and S16) show a less pronounced hysteresis than the N 2 curves. This suggests that the materials are somewhat porous after all, but it also confirms that the pores may be poorly accessible to be measured with N 2 . It is also possible that the higher temperature (273 K for CO 2 vs. 77 K for N 2 ) produced some swelling of the flexible parts of the cages, which permits a higher and a faster kinetic adsorption of CO 2 compared to N 2 . [50,51] The potential deformation of the cages may also account for the relatively good CO 2 adsorption for C1, which seemed unlikely by simply looking at the volume calculated by crystal structure analysis.
The calculation of the BET surface area from the CO 2 curve is more unusual than from N 2 , but feasible and reliable. [50] It showed SA BET of 224 m 2 g À 1 for C1 and 325 m 2 g À 1 for C2 (at 273 K). These results are in line with those obtained in similar conditions by Sessler et al. for cryptand-like cages, containing multi-pyrrolic units as structural components (Table S3). [34] The measurements of CO 2 at 298 K showed the expected reduction in the uptake (~13.6 cm 3 g À 1 , 0.607 mmol g À 1 for C1; 15.5 cm 3 g À 1 , 0.692 mmol g À 1 for C2) but the decrease is not as steep as we expected, which may suggest some contribution from chemisorption. This could be easily due to the presence of heteroatoms, polar and H-bonding groups in the structures, which are known to enhance the affinity for CO 2 . [39] Heats of adsorption (Q st ) were calculated from the CO 2 isotherms measured at 273 and 298 K. The curves were fitted with the Langmuir-Freundlich equation and the Q st calculated using the Clausius-Clapeyron equation [52] at zero coverage. The data showed approximate values of 35 KJ mol À 1 for C1 and 39 KJ mol À 1 for C2, which suggests that the main adsorption mechanism is driven by physisorption, although we cannot exclude a little contribution from chemisorption (which is considered for values > 30 KJ mol À 1 ). Notably, these Q st values are comparable to those obtained with cucurbituril macrocycles, [6] and are indicative of the high affinity of the investigated materials for CO 2 .
The calculation of the pore size distribution by NLDFT from CO 2 at 273 K, reveals that both materials show a series of pores centered at 3.5, 5.0 and 8.2 Å (see the Supporting Information for details). In the case of C1, the very small peak at~3.5 Å suggests little ultra-microporosity. The low overall pore volume centered at that height (< 0.1 cm 3 nm À 1 g À 1 ) confirms the relatively low surface area. For C2, the peak at~3.5 Å is more pronounced, sign of a slightly higher ultra-microporosity contribution. Despite the pore size distribution is considered as merely qualitative, the scattered distribution of peaks and the low amount of ultra-micropores confirm that both materials are not very porous and that the accessibility for the gases may be hindered. The HÀ K model showed only the main peak centered at~6 Å. The peak is cut after that range, which is typical of the HÀ K measurements with CO 2 at 1 bar of maximum pressure and exposes the limitations and the lack of information of this calculation over the more reliable NLDFT.
Comparison of the curves derived from the isothermal gas adsorption measurements at 298 K for CO 2 , N 2 and CH 4 , provides interesting insight into the potential use of these materials for post-combustion separation ( Figure 6). [53] The amount of CO 2 adsorbed largely exceeds the amount of N 2 . Even just visually, we can expect C2 having a better selectivity than C1, but the calculation for a possible post-combustion separation cannot be done simply looking at the final uptake of the two gases at 1 bar. The first step of the calculation of the selectivity of a hypothetical CO 2 /N 2 mixture is done by fitting the curves with the IAST method. [41] In our case they were fitted from a dual-site Langmuir-Freundlich equation using the IAST + + software. [54] The second step consists of the calculation of the ideal selectivity, assuming a 15 % CO 2 and 85 % N 2 gas mixture, which simulates the typical flue gas composition that is used to separate CO 2 and N 2 during post-combustion carbon capture using VSA. [55] The final selectivity is taken from the curve Figure 6. Overlay of CO 2 , CH 4 , and N 2 adsorption isotherms, measured at 298 K. C1 (blue) and C2 (green). p 0 = 1 bar, which is the maximum pressure reached by the instrument.

Chemistry-A European Journal
Research Article doi.org/10.1002/chem.202201631 approaching 1 bar, as this is the typical pressure for postcombustion by VSA and the maximum that our instrument can reach (Figures S23 and S24).
The selectivity of C1 and C2 for this separation demonstrated competitive compared to similar reported cages (Table S3) and other porous materials. [6,56] Analysing the data, we observed that the C1 material is slightly more selective than C2 (41 vs. 32, Table 1). This is most likely due to its smaller pores and lower BET surface that leads to an improved molecular sieving effect. The two solids were also tested for the potential separation of CO 2 from CH 4 , simulating biogas upgrading (i. e., the removal of CO 2 from a mixture to improve the efficiency of CH 4 as a fuel), which can be also performed by VSA [57] at 1 bar. According to the operating conditions typically reported for this separation, the CO 2 /CH 4 selectivity was simulated assuming a 50/50 % v composition. Usually, the selectivity for this gas pair is lower than the correspondent CO 2 / N 2 for the same materials. [58] This trend is confirmed by the results herein obtained, as C1 proved again more selective than C2 but with much lower values compared CO 2 /N 2 (5.3 for C1 vs. 3.0 for C2).

C1 and C2 as fillers in MMMs
The selectivity results achieved with the IAST simulation encouraged us to verify the possibility of employing our cages as fillers for MMMs for gas separation. With this is in mind, we tested our novel materials with two different polymer matrices, the commercial polyimide Matrimid® 9725 and poly(ether-ether ketone) with cardo group, PEEK-WC, that are both commonly used polymers for gas separation membranes (Scheme 2). [59,60] For the preparation of MMMs, we followed the experimental procedure recently employed by our group in the development of MMMs containing azacryptands as fillers. [61] In particular, the cages were firstly homogeneously dispersed in chloroform, then the required amount of polymeric solution (2 wt.% Matrimid® 9725 or 3 wt.% PEEK-WC in chloroform) was added. C1 and C2, were loaded in the polymer matrix at 20 wt. % based on the total mass of the membranes.
The resulting mixture was sonicated, and then poured into a Teflon petri dish. Dense membranes were obtained by slow evaporation of the solvent at 25°C for 24 h. The resulting MMMs were removed from the Petri dish and their top surface was coated with PDMS Elastosil M 4601 (prepolymer + crosslinker) to cover possible pinhole defects. Further details on MMMs preparation are reported in the Supporting Information, while details of the coating procedure were reported elsewhere. [61] Pure gas permeation tests were performed at 298 K, and at a feed pressure of 1 bar in a fixed volume/pressure increase setup using the time-lag method for the determination of the permeability (P), diffusion (D), and solubility coefficients (S). Details of the instrument and the measurement procedure were reported elsewhere. [62] The Robeson plots (Figure 7) show the permeability and selectivity data for the two most interesting gas pairs, CO 2 /CH 4 and CO 2 /N 2 . These plots, in which, for example, the selectivity for CO 2 versus N 2 is plotted against the CO 2 permeability (Figure 7a), are generally used to compare the performance of different materials with respect to the state of the art. [63,64] In particular, the Robeson plots in Figure 7 compare the performance of our MMMs (i. e., green diamond, Matrimid® 9725/C1; green square, Matrimid® 9725/C2; red diamond, PEEK-WC/C1; red square, PEEK-WC/C2) and of the neat polymers (green and red circles for Matrimid® 9725 and PEEK-WC, respectively) with the best performance achieved for a given separation, as defined by the upper bounds (see the diagonal lines in Figure 7).
Notably, C1 and C2 have opposite effects on the CO 2 permeability (Table 2). In particular, the addition of C1 as filler results in a marginal decrease of the CO 2 permeability in Matrimid (green diamond vs. green circle in Figure 7), and an approximately 1 = 3 decrease in PEEK-WC (red diamond vs. red circle). On the other hand, C2 increases the CO 2 permeability by few percent in PEEK-WC (Table 2; red square vs. red circle in Figure 7) and about 50 % in Matrimid® 9725 (green square vs.

Chemistry-A European Journal
Research Article doi.org/10.1002/chem.202201631 green circle). On the basis of the Maxwell equation (see the Supporting Information for details), the decrease in permeabil-ity for C1 and the increase for C2 suggest that the fillers have a lower and higher permeability than the polymers, respectively. [61] This is also in line with the lower porosity of C1 compared to C2, resulting from the gas-adsorption studies on the two materials (see, e. g., SA BET, CO 2 values at 298 K in Table 1). As for selectivity, both C1 and C2 significantly increase the CO 2 /N 2 selectivity in PEEK-WC (Table 2 and Figure 7a). Improved CO 2 /CH 4 selectivity is also found for the PEEK-WC/C2 membrane (Figure 7b). Noticeably, both cages increase the CO 2 /CH 4 selectivity in Matrimid® 9725 but did not affect the CO 2 /N 2 selectivity (C1) or slightly decrease it (C2).
These changes are associated with a general increase of the effective diffusion coefficient by C2 in both polymers (Table 3), especially for the gas with small molecular diameter. Instead, C1 increases the diffusion coefficient in PEEK-WC, but reduces it in Matrimid® 9725.
In PEEK-WC, these changes are also accompanied by an increase in size-selectivity, as the slope of the correlation of log(D) versus the squared gas diameter (d 2 eff ) increases with both cages (see the red lines in Figure 8a). On the other hand, the cages have negligible effect on the size-selectivity in Matrimid® 9725 (Figure 8b). The differences between the two cages can be ascribed to the higher porosity of C2.

Conclusion
Two novel imide/imine-based organic cages are reported in this work. The systems were investigated as materials for gasseparation processes both as pure solids and loaded in polymeric membranes.
SCXRD analyses showed that both cages crystallize to form a thick network of intermolecular H-bonds, which principally involve the bicyclo[2.2.2]oct-7-ene-based spacers (the carbonyl oxygens and the C aryl À H/C sp 3À H bonds, in particular) of different cage molecules. The thick packing significantly reduces the free volume potentially accessible to gases in the crystal. In fact, when a molecular probe of 1.72 Å radius was considered, the calculated voids represented only 0.1 and 9.8 % of unit cell volume for C1 and C2, in C1-α and C2-β phases, respectively.
The crystalline materials could not be produced in a large enough quantity to allow us to perform studies with gases. These investigations were therefore conducted on the solids precipitated from the reaction mixtures, and then ball-milled to achieve materials that could be homogenously dispersed into polymer matrices for the preparation of MMMs. PXRD analyses Robeson plots for the a) CO 2 /N 2 , b) CO 2 /CH 4 , gas pairs. Blue and red lines correspond to 1991 and 2008 upper bounds, respectively. [63,64] The purple line corresponds to the 2019 upper bound. [66] The data are reported as:  showed that the C1 material was mostly amorphous, whereas C2 was obtained as a microcrystalline phase, although different from those crystallized from DMSO or MeCN, and characterized by SCXRD.
Adsorption studies with N 2 at 77 K suggest that the accessibility to pores is rather hindered in both C1 and C2. This result is not surprising, considering the tight packing and the thick network of H-bonds revealed by crystal structures.
Gas-adsorption studies were also performed with CO 2 , N 2 and CH 4 at 298 K. Notably, the BET surface areas calculated in these conditions from CO 2 resulted much higher than the values obtained with N 2 at 77 K. We could conclude that i) the C1 and C2 materials are more porous than expected from studies with N 2 at cryogenic temperature, ii) the cages framework is flexible enough to swell with increasing temperature.
C1 and C2 were also successfully tested for potential CO 2 /N 2 and CO 2 /CH 4 separations in VSA processes. The good selectivity for CO 2 confirms that imide/imine groups strengthen the interaction with the quadrupolar CO 2 gas with respect to N 2 and CH 4 species.
C1 and C2 also proved to be suitable as fillers for mixedmatrix membranes. Dense and robust MMMs were obtained from both cages with both PEEK-WC and Matrimid® 9725 polymers. Pure gas permeation tests with CO 2 , N 2 , and CH 4 gases showed an improvement in gas-transport properties compared to the pure polymer membranes. An increase in CO 2 / CH 4 selectivity was found with C1 and C2 in Matrimid® 9725, whereas an increase in CO 2 /N 2 selectivity was achieved with both cages in PEEK-WC.

Experimental Section
Deposition Numbers 2172063 (for C1-α), 2172064 (for C2-β), and 2172328 (for C2-d) contain the supplementary crystallographic data for this paper. These data are provided free of charge by the joint Cambridge Crystallographic Data Centre and Fachinformationszentrum Karlsruhe Access Structures service.
All the experimental details are reported in the Supporting Information.