Abstract
Electronic-grade (EG) C3H6 represents an essential feedstock for semiconductor manufacturing, yet its purification remains energy-intensive due to the difficulty in removing trace C3H8 impurities via conventional cryogenic distillation, which requires high pressure and low temperature operation conditions. In this study, we demonstrate efficient C3H6/C3H8 separation under practical operation conditions using a ZIF-8 membrane prepared at near-freezing temperature. Gas permeation results show that the C3H6/C3H8 separation factor (SF) increases as temperature decreases, reaching 607 at −40 °C and remaining independent of operating pressure. Under industry-relevant conditions (−20 °C, 3 bar), the membrane achieved a SF of 362 with C3H6 flux of 135.3× 10-5 mol m-2 s-1, enabling one-step reduction of C3H8 from 2998 ppm to 8 ppm and complete removal of C4H10 from polymer-grade C3H6 feed. Adsorption-diffusion analysis reveals that enhanced separation at subfreezing temperature originates from increased diffusion selectivity caused by contraction and rigidification of ZIF-8 window. Process analysis further shows that integrating the membrane with distillation column can upgrade 99.5% C3H6 to ~5 N purity while reducing operating cost by 56.57% (1.34 US$ kg-1 EG C3H6).
Subject terms: Chemical engineering, Chemical engineering
Purifying electronic-grade propylene is challenging due to trace impurities. Here, authors demonstrate a ZIF-8 membrane that efficiently removes impurities at low temperatures, enabling high-purity propylene production with reduced energy and cost.
Introduction
In recent decades, hard mask (HM) has emerged in lithography and dry etch processes to achieve high-precision and multi-layer semiconductor manufacturing, e.g., high-aspect-ratio channel etching in 3D NAND flash memory chip production1,2. Compared with conventional Si-containing HMs, amorphous carbon hard mask (a-C HM) offers the superiority of high etch selectivity, low extinction coefficient, low thermal stress, and easy cleaning with O2 ashing3–5. C3H6 has emerged as the most commonly utilized carbon precursor to deposit a-C HM via plasma-enhanced chemical vapor deposition, owing to its superior deposition rate and uniformity6–8. However, a variety of co-existing impurities (Table S1) in polymer-grade C3H6 ( ~ 99.5%) are detrimental to the deposition of homogeneous a-C HM9,10. To satisfy the stringent demands of microchip manufacturing, the purity of electronic grade (EG) C3H6 should be at least higher than 99.99% (~4 N) with the content of the uppermost impurity of high-affinity C3H8 no higher than 80 ppm, which demands meticulous stripping of ~3000 ppm C3H8 in the feed stock.
Cryogenic distillation, which represents the dominant process for purifying EG C3H6, commonly involves removal of light impurities (abbreviated as de-light), including N2 and C2H611–13, followed by removal of heavy impurities (abbreviated as de-heavy) comprising C3H8 and n-/i-C4H1014,15. However, deep stripping of co-existing C3H8 commonly requires multiple rectification or coupling with other separation processes such as adsorption and extraction, incurring huge separation costs and low production efficiency16–18. Alternatively, membrane-based separation features the superiority of low energy consumption, low capital cost, small footprint, and easy operation19–24. According to recent process modeling analyses, C3H6/C3H8 separation membranes with selectivity higher than 100 could offer 90% energy savings compared with distillation25–28, which inspired us to integrate membrane process into EG C3H6 production towards better economic proficiency and operational simplicity, i.e., replacing multi-stage de-heavy columns with single-stage membrane unit29–33.
As complementary to polymeric membranes, molecular sieve membranes have shown great potential in accurate discrimination of gas mixtures with subtle discrepancies in kinetic diameters34–38, which offers a facile process for the removal of heavy impurities with kinetic diameters larger than C3H639–42. In terms of C3H6/C3H8 separation, ZIF-8 membrane is regarded as one of the most promising candidates owing to its inherent framework flexibility, allowing permeation of C3H6 at least 130 times faster than that of C3H8 and other bulky impurities43–49. It should be noted that although previous studies had validated the promises of ZIF-8 membranes in high-efficiency C3H6/C3H8 separation under certain conditions, a majority of them were performed under ambient temperature and pressure with C3H6 feed content in the range of 10-90% in the presence of sweep gas50–56. Regarding practical EG C3H6 production, however, the bottom stream of the de-light column is commonly occupied with saturated C3H6 at a temperature of −20 °C and pressure of 3 bar in the presence of trace amounts of heavy impurities (<0.5%). The performance of ZIF-8 membranes in high-efficiency C3H6/C3H8 separation under practical operation conditions still remains largely unexplored so far. To meet the challenge of EG C3H6 production, fabrication of ZIF-8 membranes capable of maintaining superior and stable C3H6/C3H8 separation performance under subfreezing operation temperature, elevated operation pressure, extreme C3H6 feed ratio, and evacuation operation conditions has become indispensable.
Recently, we developed a near-freezing protocol to prepare a highly C3H6-permeselective ZIF-8 membrane featuring exceptional and stable C3H6/C3H8 separation performance at operation pressure up to 7 bar and C3H8 feed percentage down to 1%57–59, relying on precisely controlled membrane growth kinetics and semi-confined membrane structure. Herein, we aimed to explore the C3H6/C3H8 separation performance of ZIF-8 membrane under unprecedented extreme operation conditions in the context of practical EG C3H6 production. Its C3H6/C3H8 separation performance at sub-freezing temperature was first systematically investigated. Our results revealed that separation factor (SF) of equimolar C3H6/C3H8 gas mixture increased steadily with decreasing operation temperature, even exceeding 600 at −40 °C. This phenomenon was attributed to the slight contraction and rigidification of the six-membered gate size of the ZIF-8 framework upon decreasing the operating temperature (Fig. 1a), as revealed by a combination of spectroscopy and molecular simulations, resulting in significantly enhanced diffusion resistance for the bulky C3H8, as demonstrated by gas diffusion rate studies. Subsequently, with polymer-grade C3H6 as feedstock, a gas permeation test was conducted at -20 °C and 3 bar under vacuum operation to mimic the stripping of heavy impurities under industry-relevant operation conditions. Our membrane was demonstrated to enable one-step stripping of C3H8 impurity from 2998 to 8 ppm accompanied by complete removal of trace amounts of n-/i-C4H10 impurities. Finally, an idealized ZIF-8 membrane-cryogenic distillation coupling system was established for energy-efficient production of EG C3H6 (Fig. 1b). Process design analysis demonstrated that in comparison with conventional distillation, the membrane-distillation hybrid system not only enabled high-efficiency production of high-standard EG C3H6 ( ~ 5 N) but also achieved a significant reduction in operation cost (56.57%) and energy duty (49.89%), enabling energy-efficient and cost-saving EG C3H6 production under practical operation conditions.
Fig. 1. Concept of low-temperature ZIF-8 membrane sieving and membrane-distillation hybrid process.
a Illustration of the low-temperature induced moderate contraction and rigidification of six-membered sieving windows of the ZIF-8 framework, and b schematic diagram of ZIF-8 membrane-distillation hybrid system for producing electronic grade C3H6.
Results
Heavy impurities stripping under practical conditions
As mentioned in our previous work, a near-freezing synthetic protocol was adopted to prepare a highly C3H6-permselective ZIF-8 membrane. The preparation and characterization methods have been described in detail in Supplementary Methods. First, a uniform ZnO buffer layer comprising 20 nm-sized ZnO grains (Fig. 2a), which served as a Zn source to facilitate heterogeneous ZIF-8 nucleation, was deposited on the surface of porous α-Al2O3 substrate. Aiming at better control of nucleation and growth kinetics of the ZIF-8 membrane, a cryo-conversion reaction was performed on a ZnO buffer layer-modified substrate. SEM results revealed that after reaction, the substrate surface had been uniformly covered with well-intergrown ZIF-8 crystallites with a thickness of ~700 nm (Fig. 2b, d). X-ray diffraction (XRD) patterns confirmed that the conversion rate of ZnO buffer layer reached 83% (Fig. 2c). EDXS surveys revealed that the overall thickness of the so-obtained ZIF-8 membrane was only 1.2 µm as evidenced by the distribution of C element in the cross-sectional region (Fig. 2e), indicating a penetration depth of ~500 nm embedded with unconverted ZnO buffer layer. This semi-confined microstructure (Fig. 2f–h) not only reinforced binding strength and structural robustness, but also formed a space-constraint effect to prevent pressure-induced framework deformation, facilitating well preservation of the membrane performance under varying operation conditions. Corresponding AFM characterization demonstrated high surface flatness of the membrane (Ra = 136 nm, Fig. S1).
Fig. 2. Microstructural characterization of ZIF-8 membrane.
SEM images of a ZnO buffer layer-modified substrate, b near-freezing synthetic ZIF-8 membrane and c relevant XRD patterns. d Cross-sectional SEM image and e EDXS spectra of near-freezing synthetic ZIF-8 membrane. f FIB-assisted HAADF-STEM image and g, h corresponding HR-TEM images of semi-confined ZIF-8 membrane.
Aiming at C3H6 purification in industry, the stripping ability of our membrane towards heavy impurities (mainly C3H8 and n-/i-C4H10) was further measured under practical operation conditions. To couple with discharge conditions of the front de-light column, the separation performance of ZIF-8 membrane for an equimolar C3H6/C3H8 gas mixture was first measured at varying operation temperature and pressure using the Wicke-Kallenbach method (Fig. S2a and Supplementary Methods). The gas permeation results indicated that under atmospheric conditions, the C3H8 permeance dropped more quickly upon decreasing operation temperature, resulting in steady elevation of C3H6/C3H8 SF up to 607 at near-liquefaction temperature of -40 °C (Fig. 3a), which was superior to presently reported values in the literature (Fig. S3 and Tables S2–7). At the practical discharge temperature of the de-light column (−20 °C), the SF remained as high as 377, which had fully met the purity criteria of EG C3H6 with no compromise in C3H6 permeance.
Fig. 3. C3H6/C3H8 separation performance of ZIF-8 membrane.
a The dependence of C3H6/C3H8 separation performance of ZIF-8 membrane on operation temperature (from 150 to −40 °C) at atmospheric pressure. b The dependence of C3H6/C3H8 separation performance of ZIF-8 membrane on operation pressure at industry-relevant temperature of −20 °C. c Long-term operation stability of ZIF-8 membrane with polymer-grade C3H6 as feedstock under −20 °C, 3 bar and vacuum operation.
Subsequently, the dependence of C3H6/C3H8 separation performance of the so-obtained membrane on feed pressure was evaluated at industry-relevant -20 °C. As shown in Fig. 3b, with a saturation pressure of 3 bar as a threshold, the pressurization process could be divided into two stages: At the initial stage (from 1 to 3 bar), permeation flux of gaseous C3H6 increased from 74.1 × 10-5 to 135.3 × 10-5 mol m-2 s-1, while further increasing feed pressure to 7 bar led to constant C3H6 flux due to the liquefaction of C3H6/C3H8 mixture at the feed side. Of particular note, regardless of pressure variation, our ZIF-8 membrane displayed a constant C3H6/C3H8 SF of ~370. This well-preserved C3H6/C3H8 separation performance at elevated pressure might be ascribed to the space constraint effect imposed by ZnO grain-embedded substrate pores. It should be noted that compared with ambient operation conditions, both C3H6/C3H8 SF and C3H6 flux throughout our membrane increased 1.89 and 1.22 times at discharge conditions (i.e., −20 °C and 3 bar) of de-light column, which enabled their direct coupling without extensive heat exchange and depressurization. Compared with conventional multi-stage cryogenic distillation process, this membrane-distillation hybrid system holds great potential in high-efficiency production of qualified EG C3H6.
To further verify the stripping capability of our membrane towards heavy impurities under practical conditions, the membrane upstream feed was replaced with commercial 99.5% polymer-grade C3H6 containing heavy impurities of 2998 ppm C3H8, 291 ppm n-C4H10 and 203 ppm i-C4H10; moreover, evacuation was applied at the permeate side with operation temperature and pressure maintained at industry-relevant −20 °C and 3 bar, respectively (Fig. S2b). Gas permeation results revealed that our membrane still maintained superior and stable C3H6/C3H8 separation performance with C3H6/C3H8 SF of 362 and C3H6 flux of 135.3 × 10-5 mol m-2 s-1 (Fig. S3). In terms of heavy impurity tripping, C3H8 content in the permeate gas sharply reduced to less than 10 ppm with large-sized n-/i-C4H10 content falling below GC detection limit (Table S8). Of particular note, in the case of the presence of only heavy impurities, the C3H6 purity in the permeate side reached 5 N (99.999%) during 1000 h of continuous testing (Fig. 3c). To further verify the long-term stability of prepared ZIF-8 membrane, we supplemented polymer-grade C3H6 ( ~ 99.5%) from different gas suppliers as raw materials and conducted continuous tests for 200 h (Fig. S4 and Table S9). Obviously, the purity of C3H6 in the penetrant side still fully met the purity requirement (>5 N). Therefore, our membrane is a highly effective alternative to traditional de-heavy column with potential advantages in terms of lower energy consumption and reduced capital cost.
Separation mechanism elucidation at lower temperature
The mechanism of enhanced C3H6/C3H8 separation performance of our membrane at lower temperatures was further elucidated. It is well established that C3H6 and C3H8 permeation behaviors in ZIF-8 framework conform to adsorption or diffusion-based mechanisms. Initially, static adsorption properties of C3H6 and C3H8 in ZIF-8 framework were investigated. It was observed that the equilibrium adsorption capacity of C3H6 gradually increased and became higher than that of C3H8 upon decreasing the temperature from 75 °C to −40 °C (Figs. S5-6), resulting in higher amount of equilibrium C3H6 uptake and increasing C3H6/C3H8 Ideal Adsorbed Solution Theory (IAST) selectivity (Fig. 4a). Furthermore, C3H6 and C3H8 diffusion coefficients in ZIF-8 were estimated from Langmuir and Dual-site Langmuir model-fitted adsorption parameters in conjunction with gas permeation data60,61 (Fig. S7 and Table S10). As shown in Fig. 4b, both C3H6 and C3H8 diffusion coefficients dropped quickly with decreasing temperature; however, the reduction in diffusion coefficient for C3H8 was more prominent than for C3H6, resulting in a 5.7-fold increase in their diffusion selectivity. Possibly this could be ascribed to low-temperature-induced reduction of the gate size, resulting in more pronounced increase in energy barrier for larger-sized C3H8 to diffuse through the contracted and rigidified six-membered window62,63.
Fig. 4. Demonstration of rigidification effect in ZIF-8 framework caused by temperature reduction.
a C3H6/C3H8 IAST adsorption selectivity of ZIF-8, the dashed line represents a selectivity of 1.0. b Diffusion coefficients of C3H6 and C3H8 in ZIF-8 framework and their diffusion selectivity calculated from gas adsorption parameters and permeation data. c Molecular dynamics simulated gate size distribution of ZIF-8, the gate size region is shown in the inset figure. d Simulated swing angle distribution of the imidazolate linkers in ZIF-8 framework, the inset illustrates the temperature-dependent rotational motion of linkers. e Average gate size of ZIF-8 as a function of temperature obtained from molecular dynamics simulations. f In situ FT-IR spectra of ZIF-8 at different temperatures. As the test temperature decreases, the absorption peak blue-shifted to higher frequencies along the arrow direction.
To validate this hypothesis, flexible force field-based Molecular Dynamics simulations were carried out to explore how the gate size of ZIF-8 behaves at low temperature. These simulations revealed that the distributions of both gate size (Fig. 4c) and swing angle (Fig. 4d) for the imidazolate linkers becomes narrower when temperature decreases, supporting a rigidification of the six-membered rings. Accordingly, the averaged gate size slightly reduces when temperature decreases (Fig. 4e). These trends strongly suggest that the gate crossing is harder for the bulkier C3H8 vs C3H6 at low temperature which is in line with the increase of diffusion-driven selectivity observed experimentally. Simultaneously, in situ FT-IR characterization was conducted to study the temperature-dependence of the rigidity of ZIF-8 framework. As shown in Fig. 4f and S8, we observe that the absorption band at 422 cm-1 that can be assigned to the Zn-N stretching vibration or the bending vibration between methyl group and imidazolate ring64, has a much lower intensity and is also blue-shifted to higher frequencies with decreasing temperature, which suggests an enhancement of the ZIF-8 framework rigidity at low temperature since higher energy is required to induce aforementioned bond vibrations65.
Enhanced kinetic sieving of ZIF-8 membrane at low temperature was further confirmed for the C2H4/C2H6 separation, showing increased SF from 2.5 to 4.9 upon decreasing operation temperature from RT to –40 °C (Fig. S9 and Table S11). Overall, synergistic effect of adsorption and diffusion kinetics at lower temperature concurrently contributed to higher sieving precision towards C3H6/C3H8 gas pair, which not only enhanced the separation efficiency and product purity, but also achieved a direct coupling between the membrane unit and the de-light column under identical operation conditions, holding great promise in reducing energy consumption and capital cost during EG C3H6 production.
Process design analysis of membrane-based EG C3H6 purification
To better evaluate practical operations in industry, we used a steady-state simulation model in Aspen Plus V11 to conduct process simulations. The feedstock considered in this study is polymer-grade C3H6, therefore, adsorption steps (typically used as dryers or guard beds to remove trace polar impurities) were not explicitly modeled, as they do not represent a major contributor to the overall energy consumption for deep de-heavy separation. To explore the performance of the hybrid membrane-distillation system for separating C3H6/C3H8 gas mixtures at different feed temperature and pressure, we simulated the hybrid membrane-distillation processes under three modes of 2-3 bar, 1-2 bar and 0.5-1 bar, depending on the feed pressure of columns (Fig. S10). The Redlick-Kwong-Soave property method was selected, and the distillation column was simulated using the RadFrac model66. As a base scenario, we first modeled the hybrid membrane-distillation process employing polymer-grade C3H6 as the raw material and targeting at C3H6 purity exceeding 99.99%, in which the distillation column acted to remove light impurities including non-condensable gases and C2H667,68. Simultaneously, a 25 m2 ZIF-8 membrane was employed to strip the heavy impurities in the bottom product of the column. To enhance C3H6 recovery, the retentate of the membrane was partially recycled back into the distillation column. For comparison, the conventional distillation process (Fig. S11) and another type of hybrid membrane distillation process based on membrane pre-treatment (Fig. S12) were also modeled based on similar C3H6 production capacity and operation pressure of the column.
After stream conditions were reduced to 3 bar and −20.81 °C from 1.2 MPa and 23.71 °C through the valve, the feedstock was introduced into the 9-tray distillation column from tray 4 in the hybrid membrane-distillation system, with top and bottom pressures of 2 bar and 3 bar, respectively. Considering the membrane processing capacity given above, the total feed rate of the column was originally set at 40.0 kg h-1, with a production target of 5.0 kg h-1 of EG C3H6. Following the distillation column, our ZIF-8 membrane was further simulated with the standard component separator model. Separation parameters were determined by experimental data of gas permeation test with C3H6/C3H8 SF of 362 (Table S12). The permeate gas came out of the membrane at 1 kPa, and the retentate part came out at a feed pressure of 3 bar. Part of the retentate was removed from the process, which could still be used as polymer-grade C3H6, and the rest was mixed with raw material and entered the column. The permeate was converted into liquified gas at 1.2 MPa by the condenser and then entered the storage tank. The feed rate was adjusted to ensure convergence of the process with recycle, and the reflux ratio was optimized to meet the final production specification. Our simulation results indicated that, upon setting the feed rate of the column at 15.0 kg h-1, a high reflux ratio of 11.16 with a condenser duty of 5.31 kW, a reboiler duty of 2.45 kW, and a total heater duty of 4.51 kW were required to achieve the separation target of EG C3H6 with C3H6 content in the permeate of 99.9987% and the recovery of 34.33% (Fig. 5a, c and Table S13), equivalent to equipment cost of ~US$1.70 × 104 (without considering the equipment cost of membrane) and operation cost of ~US$5.51×104 per year.
Fig. 5. Membrane-distillation hybrid system process and operating performance comparison.
Process flow diagram of a hybrid membrane-distillation system and b conventional cryogenic distillation system for EG C3H6 purification with column pressure range of 2-3 bar. The comparisons of c product purity and recovery, d capital cost and operation cost.
In contrast, our model revealed that for a conventional cryogenic distillation process, at least four columns are required to achieve the intended separation objective: One for removing non-condensable gas and lighter components, another for removing heavier components, and the remaining two for dual purification of C3H6. Our simulation results indicated that, with the feed rate of 7.0 kg h-1 to the column, reflux ratios of 0.17, 7.33, and 8.46 for the remaining three column, respectively, along with a total condenser duty of 14.55 kW, reboiler duty of 14.37 kW, pump power of 0.0021 kW, and heater duty of 0.24 kW, 6.1 kg h-1 of 99.9909% C3H6 could be obtained at the top of last distillation column with the recovery of 87.57% (Fig. 5b, c and Table S14). The equipment cost of the entire system was ~US$2.12 × 105, and the operation cost was ~US$1.51 × 105 per year. Considering the equipment cost of the membrane, membrane cost below ~US$6.45 × 103m-2 could make the hybrid process more economically attractive than the pure distillation process in terms of capital cost.
Process design analysis further demonstrated that in comparison with conventional distillation process, employing a membrane-based hybrid system with column pressure range of 2-3 bar not only enabled the production of higher quality EG C3H6 with purity approaching 5 N, but also could save 56.57% of operation cost (1.34 US$ kg-1 C3H6) and 49.89% of total energy duty (8.62 MJ kg-1 C3H6) with potentially significant reduction in capital cost (Fig. 5d and Table S15). The simulation results of operation/capital cost of the hybrid membrane-distillation systems and conventional distillation under the other two modes were compared in detail in Tables S16–19. Furthermore, a parallel comparison was made of the energy-saving advantages of the membrane-distillation system that is coupled with other high-performance ZIF-8 membranes (Tables S20 and S21). The proposed hybrid system directly addresses the most critical bottleneck of EG C3H6 production-the excessive energy demand of multi-column distillation for deep C3H8 removal and offers a practical pathway to cost reduction and sustainability.
Discussion
To achieve energy-efficient, cost-saving EG C3H6 production, the C3H6/C3H8 separation performance of a near-freezing synthetic ZIF-8 membrane was investigated under practical operating conditions. Gas permeation tests conducted at sub-freezing temperatures revealed that the separation factor of this ZIF-8 membrane for an equimolar C3H6/C3H8 gas mixture elevated as temperature decreased, reaching an exceptional value of 607 at −40 °C. This trend was attributed to a low-temperature-induced pore gate size reduction and ZIF-8 framework rigidification, leading to a more pronounced decrease in the C3H8 dynamics as compared to C3H6. Under industry-relevant operation conditions of −20 °C and 3 bar, this membrane still retained a C3H6/C3H8 separation factor up to 362 with polymer-grade C3H6 as feedstock under vacuum operation, which enabled not only efficient stripping of C3H8 impurity from 2998 to 8 ppm but also complete removal of n-/i-C4H10 impurities, achieving direct coupling between the membrane unit and the de-light column under identical operation conditions. Furthermore, a hybrid membrane-distillation system was established based on the above membrane. Process design analysis demonstrated that in comparison with conventional cryogenic distillation, the ZIF-8 membrane-distillation system not only enabled the production of high-standard EG C3H6 ( ~ 5 N) but also achieved significant savings in operation cost and total energy duty (56.57% and 49.89%), thereby holding great promise in energy-efficient and cost-saving EG C3H6 production under practical conditions.
Methods
Preparation of ZIF-8 membrane
A ZIF-8 membrane was prepared through the near-freezing conversion of the ZnO buffer layer. The first step involved surface deposition of porous α-Al2O3 substrate with ZnO buffer layer through sequential spin-coating of ZIF-8 nanocrystals and ZnO sol, followed by calcination at 450 °C for 2 h. The second step referred to ZIF-8 membrane synthesis through near-freezing conversion of the obtained ZnO buffer layer. The precursor solution was prepared by dissolving Zn(OAc)2 (0.23 mmol) and 2-mIm (41.67 mmol) in 50 ml of methanol-water (v/v = 3/7) binary solvent. The ZnO layer-modified substrate was then immersed in the above pre-cooled solution at 2.5 °C for 24 h to form a well-intergrown ZIF-8 membrane. The relevant characteristics, gas permeation tests and information on reagent purity are provided in Supplementary Methods.
Adsorption and diffusion studies
The ideal adsorbed solution theory (IAST) was used to calculate C3H6/C3H8 adsorption selectivity. Gas adsorption isotherms were fitted by Langmuir (Eq. 1) and Dual-site Langmuir (Eq. 2) models:
| 1 |
| 2 |
where qm1 and qm2 (mmol g-1) were the saturated adsorption amounts at different adsorption sites, and b1 and b2 (kPa-1) were the gas affinity coefficients at different adsorption sites, p (kPa) was the adsorption pressure. The IAST ideal adsorption selectivity was calculated using the Eq. 3:
| 3 |
where q1 and q2 (mmol g-1) were the adsorbed amounts of component a and b, p1 and p2 (kPa) were the adsorption pressures of component a and b. The heats of adsorption (Qst) for C3H6 and C3H8 were calculated using the Clausius-Clapeyron Eqs. 4–5:
| 4 |
| 5 |
where T (K) was measured temperature, R (8.314 J mol-1 K-1) was the gas constant, and ni (mmol g-1) was the amount of adsorption. Based on adsorption-diffusion transport mechanism of gas within porous molecular sieve membrane, the gas flux could be expressed by the adsorption and diffusion coefficients in Eq. 6:
| 6 |
where Fa (mol m-2 s-1) was the permeate flux of component a, ρ (g cm-3) was the density of ZIF-8, ∅ was the ratio of the porosity to the curvature of ZIF-8, Dc (cm2 s-1) was the diffusion coefficient of component a, qf and qp were the concentration of component a on the feed and permeate side. The flux-pressure relationship could be obtained by inserting Eqs. 1 and 2 to 6:
| 7 |
| 8 |
where the L (μm) was the thickness of the ZIF-8 membrane and the pf (kPa) was partial pressure of gas a in the feed side.
MD simulation
The LAMMPS (7 Aug 2019) software (http://lammps.sandia.gov)69 was employed to perform the MD simulations considering a simulation box of 2 × 2 × 2 ZIF-8 unit cells (2208 atoms) at different temperatures. The verlet-velocity integration algorithm with a time step of 1.0 fs was used. The force field parameters for the flexible ZIF-8 framework, i.e., bonding, van der Waals, and electrostatic interactions, were taken from previous works70,71. All non-bonded interactions were calculated using a cut-off of 12.0 Å. For each investigated temperature, the system was equilibrated at a constant temperature and 1 bar pressure for 10 ns using an isothermal–isobaric ensemble (NPT) with Nosé-Hoover model. Relaxation times were set as τT = 1.0 ps and τP = 5.0 ps. The largest cylinder which could pass through the gate was employed to evaluate the gate size of ZIF-8 while the swing angle value was determined following the same methodology we applied earlier72.
Process simulation
Process simulations for a hybrid membrane-distillation system and a multi-column distillation system were conducted with a steady-state simulation model developed in Aspen Plus V11 software. The hybrid membrane distillation system consisted mainly of a distillation column and a membrane unit. The total number of trays in the distillation column was set to 9, with the feed entering from tray 4. Liquid N2 was used as a cooling utility agent in the condenser, where chilled water was used as a heating utility agent in the reboiler. The membrane unit was simulated with the standard component separator model, and separation parameters were determined by experimental data from the gas permeation test. The conventional cryogenic distillation system consisted of 4 tandem distillation columns with tray numbers 9, 24, 102, and 106, and the feeds were introduced from trays 4, 11, 37, and 37, respectively. The relevant information on economic analyses is provided in the Supplementary Methods.
Supplementary information
Source data
Acknowledgements
G.M. thanks IUF for the Senior Chair. The authors gratefully acknowledge the financial support of the National Key Research and Development Program of China (2023YFB3810700 to Y.L.), the Science Fund for Creative Research Groups of the National Natural Science Foundation of China (22021005 to Y.L.), the National Natural Science Foundation of China (22478056 to Y.L., 22078039 to Y.L.), the Science and Technology Innovation Fund of Dalian (2024JJ12GX027 to Y.L.) and the Fundamental Research Funds for the Central Universities (DUT22LAB602 to Y.L.). The authors would like to appreciate the HPC resources provided by GENCI-CINES (A0160907613 to G.M.).
Author contributions
Y.L. conceived the idea, designed the experiment, obtained the funding, supervised students, and revised the manuscript. K.Y. and T.J. carried out the experiment and drafted the manuscript. Y.D. and S.G. performed the process simulation. B.Z. and G.M. performed the MD simulation. J.L., J.W., and Y.G. analyzed the in situ FT-IR data. J.Y. and X.H. contributed to the review of the manuscript. All authors contributed to the manuscript.
Peer review
Peer review information
Nature Communications thanks Yun-Lei Peng, Inmaculada Ortiz and the other, anonymous, reviewer(s) for their contribution to the peer review of this work. A peer review file is available.
Data availability
The data that support the findings of this study are provided in the main manuscript or within the Supplementary Information. Source data are provided with this paper.
Competing interests
The authors declare no competing interests.
Footnotes
Publisher’s note Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
These authors contributed equally: Kunpeng Yu, Yachao Dong, Taotao Ji, Jiaxu Liu.
Supplementary information
The online version contains supplementary material available at 10.1038/s41467-026-72913-8.
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Data Availability Statement
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