Membranes are a promising technology platform for CO₂ capture because they are modular, scalable, and compact. This makes them desirable for process intensification and reducing energy costs ^[1][2][54,55]. Membranes encompass many different types of materials and functionality. Here, to distinguish biocatalytic membranes according to their configurations and separation mechanisms, membranes are loosely divided into two categories, based on the physical states of the fluids separated by the membrane: CO₂ gas separation membranes and CO₂ gas–liquid membrane contactors (Figure 1).

2. CO₂ Separation Membrane

A membrane that separates two gas phases on either side—CO₂ lean gas mixture on the feed and CO₂ enriched gas phase on the permeate side—is called a CO₂ separation membrane. This category encompasses a large selection of membrane types from non-porous glassy polymer membranes, fixed-site carrier membranes ^[3][56], and ultrathin nanocomposite membranes ^[4][57], to contained liquid membranes ^[5][58]. Research efforts on CO₂ separation membranes have focused on improving performance-limiting membrane properties, such as CO₂ gas permeance and selectivity ^[6][59]. New classes of polymer materials, such as polymers of intrinsic microporosity (PIM) ^[7][8][60,61] and ladder polymers ^[9][62], have been invented that show superior CO₂ separation properties well above the empirical Robeson upper-bound ^[10][63], which classically delineates the trade-off relationship between gas permeability and selectivity. However, physical aging is still an issue that needs to be solved. This problem is common to all glassy polymer membranes, including in the new classes of materials, albeit to a lesser extent owing to the presence of inherent structural porosities. In one case, treatment with super critical CO₂ altered the internal structure of a PIM, leading to decreased CO₂ permeance ^[11][64]. In another case, after being physically aged, ladder polymers showed increased selectivity but decreased permeability ^[9][62], indicating a decreased free volume. To alleviate physical aging issues in glassy non-porous polymer membranes, inorganic aging-resistant CO₂-philic components are added to the polymer matrix to form mixed matrix membranes (MMM). Recently, Tan et al. ^[12][65] discovered a new method for adding high loadings of zeolite into a polyimide membrane matrix that achieved a CO₂/CH₄ mixed-gas selectivity of ~423 and a CO₂ permeability of ~8300 Barrer at moderate pressure and ambient temperature. To put these numbers in perspective, at a similar CO₂/CH₄ selectivity of 400, the 2008 Robeson upper-bound for the CO₂/CH₄ pair anticipates a CO₂ permeability of only ~1 Barrer ^[10][63]. In order to improve the overall sustainability profile of CO₂ separation technologies, biopolymer-based MMM, such as chitosan-based non-porous membranes, have recently emerged as alternatives to conventional non-renewable polymer matrices ^[13][66]. Casado-Coterillo et al. ^[14][67] fabricated a chitosan MMM filled with metal organic framework (MOF) and non-toxic ionic liquid that achieved a high permeability of 4754–5413 Barrer (or 47–52 GPU) and a CO₂/N₂ selectivity of 12–19. Borgohain et al. ^[15][68] synthesized carboxymethyl chitosan as a matrix for compatibilization with scarcely soluble multi-walled carbon nanotubes (MWCNT) to make a thin MMM selective layer (2.7 µm) that exhibited a CO₂ permeance of 43 GPU and a CO₂/N₂ selectivity of 45. The hydrophilicity and free amine groups of the chitosan material could be contributing to the excellent CO₂ transport properties, especially in humidified conditions, compared with the commercial hydrophobic membranes ^[16][69]. Owing to their abundance in nature, tailorable functional groups, and excellent membrane forming properties, chitosan ^[17][70] and other polysaccharides ^[18][19][71,72], could play an increasing role in the fabrication of novel CO₂ separation membranes. Another way to improve membrane performance is by making thin film composites (TFC) ^[20][73] or integrated multilayer membranes ^[21][74], both with ultra-thin CO₂ selective layers for facilitated CO₂ transport. CA and CA mimics have been successfully used to construct both MMM and thin CO₂ selective layers for facilitated CO₂ separation ^[22][23][75,76]. However, these advanced facilitated transport membranes are still at lab-scale and no direct comparison between these and commercial scale CO₂ chemical absorption processes is available in the literature. Nevertheless, a recent techno-economic analysis (TEA) study compared a non-facilitated polymeric membrane process (Membrane Technology and Research, Inc., Newark, CA, USA) ^[24][77] to an enzyme-based chemical absorption process (Akermin Inc., St. Louis, MO, USA) and found that the latter is economically more attractive in a simulated CO₂ capture scenario from a 600 MW_e power plant flue gas. This result emphasizes the potential for enzymes to improve energy efficiency of conventional energy intensive processes. Interestingly, the study also predicted that the membrane technology could become more efficient if CO₂ permeance at low pressure (<1.5 bar) could be enhanced. Because CA is already particularly efficient at converting CO₂ to bicarbonate at ambient pressure, developing low pressure facilitated CO₂ transport membranes that utilize the fast enzyme reaction rate is a promising concept. Liquid membranes that separate two gas phases are also defined as CO₂ separation membranes. CA plays a similar CO₂ hydration facilitator role in liquid membranes, provided there is water present. General types of liquid membranes include supported liquid membranes and contained liquid membranes (Figure 1). Sometimes distinctions are made between supported liquid membranes (SLM) and immobilized liquid membranes (ILM), where in the first case, liquid fills spaces between fibers in the membrane and the second case, liquid fills specific pores in the membrane ^[25][78]. However, most of the time, these two nomenclatures are used interchangeably. Disadvantages of common SLMs or ILMs include the formation of gravity-induced downward bulges in the liquid phase (called catenary curves), low tolerance to transmembrane pressure differences, and a high evaporation tendency. All of these problems can be alleviated by contained liquid membrane configurations in which liquid is bound by porous membrane surfaces ^[25][78]. Different types of liquid can be used to construct liquid membranes, including hydrogels ^[26][79], ionic liquids ^[27][80], deep eutectic solvents ^[28][81], and aqueous buffers ^[29][82]. Both flat sheet and hollow fiber membranes are commonly used.

3. CO₂ Liquid Contactor Membrane

A membrane that separates a gas phase containing CO₂ from a liquid phase where CO₂ is absorbed, is categorized as a CO₂ liquid contactor membrane (Figure 1). This category emerged as a new hybrid membrane system, called gas–liquid membrane contactors (GLMC), that combines the modularity and high surface area of the membrane with the high selectivity of the chemical absorption process ^[30][31][83,84]. Non-enzymatic GLMC developments have focused on improving membrane stability ^[32][85], minimizing pore wetting ^[33][86], and selecting the best solvent and activator ^[34][9]. Reviews of modeling methods used to analyze the mass transfer in hollow fiber gas–liquid membrane contactors (HFGLMC) for post-combustion carbon capture are available ^[30][83]. Improvements to membrane materials were also explored by blending polysulfone (PSf) with PEI, a CO₂-philic polymer. The observed optimal additive ratio for higher capture performance was attributed to chemical affinity, whereas non-optimal conditions inadvertently caused pore wetting and clogging by K₂CO₃ precipitation ^[35][87]. Another way to improve GLMC performance is increasing the mass transfer of CO₂ at the gas–liquid interface catalyzed by CA enzymes, which are either immobilized on the membrane ^[36][88], dissolved in the solvent ^[37][89], or immobilized both on the membrane and on mobile nanoparticles dispersed in the solvent for additional process intensification ^[38][90]. A recent TEA study compared a CA-immobilized hollow fiber membrane contactor (HFMC) with benign solvent and vacuum-assisted solvent regeneration with the benchmark case where monoethanolamine (MEA) was used in a conventional packed column process. The projection estimated that at 90% CO₂ capture from a 685 MW_e coal-fired power plant, the enzymatic process achieved a 43% reduction in energy consumption of the capture and compression unit, a 31% reduction in capital cost (CAPEX), and a 28% reduction in operating expenses (OPEX) in comparison with the MEA benchmark ^[39][91]. 

4. Other Membrane Structure Functions

The simplest definition of a membrane is a thin layer that acts as a boundary or barrier. This barrier can prevent random mass exchange based on size or physical phase, or can provide protection against harsh environments. Membranes used for CO₂ conversion and utilization applications may require different or added functionality compared with those used for CO₂ capture. For example, as shown in Figure 2, an ultraviolet (UV) protective membrane was used to block UV irradiation and simultaneously retain enzymes (based on their large size) on the biocatalysis side ^[40][92], while allowing small cofactor molecules to freely pass between the separate photocatalytic and biocatalytic reaction chambers. Additionally, membranes provide ample surface area for enzymes to be immobilized, and therefore, can provide high catalytic enhancement. Considering the membrane’s separation function, when substrate is delivered as dissolved CO₂-saturated water ^[41][42][35,36], the membrane structure creates a localized environment where the CO₂ conversion reaction can take place continuously in the liquid phase. Membranes can separate either dissolved or immobilized biocatalysts from products ^[43][44][38,39] (exemplified by two schematics under “Separation” in Figure 2). The importance of this seemingly simple function of solid–liquid separation and recovery of enzymes should not be underestimated. An evaluation of using ultrafiltration membranes to separate dissolved enzymes from a CO₂-rich solvent ^[45][93], to avoid pumping the enzymes into a high temperature desorber for solvent regeneration, found that even with an enzyme retention rate as high as 99.9%, only 50% of the enzymes are retained after 1 month of operation. Therefore, strategies that prevent enzymes from leaching through or away from membranes can be critical. Biocatalyst retention by immobilization is especially important for operating enzymatic membrane reactors for CO₂ reduction catalyzed by oxidoreductases. As illustrated under ‘gas distributor’ in Figure 2, porous membranes, specifically porous hollow fiber membranes, can be used to infuse gaseous CO₂ into the reaction medium ^[46][94] to increase the availability of soluble CO₂. This approach is often used in conjunction with adjacent sets of hollow fiber membranes with immobilized enzymes attached ^[47][95]. In addition, since gaseous CO₂ is attracted to hydrophobic surfaces, amphiphilic membranes functioning as gas–solid–liquid contactors (Figure 2, right schematic) have recently been developed for converting gaseous CO₂ into water soluble formic acid ^[48][96].