NEW PROCESS FOR GRAPHENE MEMBRANES LATTICE ENGINEERING AND USES THEREOF
20230149861 · 2023-05-18
Inventors
Cpc classification
B01D67/0062
PERFORMING OPERATIONS; TRANSPORTING
Y02C20/40
GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
B01D71/0211
PERFORMING OPERATIONS; TRANSPORTING
B01D67/006
PERFORMING OPERATIONS; TRANSPORTING
B01D69/10
PERFORMING OPERATIONS; TRANSPORTING
B01D53/228
PERFORMING OPERATIONS; TRANSPORTING
International classification
B01D67/00
PERFORMING OPERATIONS; TRANSPORTING
Abstract
The invention relates to a millisecond gasification method to fabricate graphene membranes, yielding a molecular sieving resolution of 0.2 Å for selective gas separation, and further relates to a method of preparation and uses thereof. In particular, the invention relates to the graphene membranes that have large CO.sub.2 permeances combined with attractive CO.sub.2/N.sub.2 and CO.sub.2/CH.sub.4 selectivity.
Claims
1-17. (canceled)
18. A method for the preparation of a gas selective separation filter comprising the steps of: a) providing a graphene on a sacrificial support layer; b) subjecting said graphene membrane to one or more transient ozone gas pulses at a reactor temperature comprised between about 120 to 300° C.; c) purging ozone from the reactor chamber during or right after the transient pressurized ozone gas pulse; and d) cooling down the ozone treated graphene membrane to room temperature, wherein each transient ozone gas pulse lasts for about 0.01 to about 0.3 second.
19. The method according to claim 18, wherein the transient ozone gas pulse is provided into the reactor chamber at a peak pressure of about 3 to about 27 Torr (3.9×10.sup.−3 to 36 mbars) from an ozone source.
20. The method according to claim 18, wherein the transient ozone gas pulse is subjected to the graphene membrane such that the graphene etching time is kept well below 1 s.
21. The method according to claim 18, wherein the reactor temperature under step b) is from about 150 to about 300° C.
22. The method according to claim 18, wherein the transient ozone gas pulse contains a O.sub.3 dose of about 3.0×10.sup.16 to about 3.5×10.sup.17 molecules cm.sup.−3 s.
23. The method according to claim 18, wherein a plurality of transient ozone gas pulses, each lasting 100 ms or less are generated over a duration of 0.5 to 4 seconds or 1 to 3 seconds.
24. The method according to claim 23, wherein said plurality of ozone gas pulses comprises about 10 to 20 pulses.
25. The method according to claim 18, wherein the ozone is purged from the reactor chamber after the last transient ozone gas pulse through a vacuum purge system.
26. The method according to claim 18, wherein the ozone is purged from the reactor chamber after the last transient ozone gas pulse by an inert gas purge flow connected to the vacuum purge system.
27. The method according to claim 26, wherein the inert gas purge lasts for from about 1 to 10 seconds.
28. The method according to claim 18, wherein the ozone is provided from an source comprises a buffer reservoir tank containing a mixture of O.sub.2 and O.sub.3 at a pressure of about 1 and 5 bars, wherein the O.sub.3 molar content is about 9%.
29. The method according to claim 18, wherein the ozone treated graphene membrane is cooled down within the reactor chamber under Ar atmosphere.
30. A gas selective filter comprising a graphene membrane having a thickness of about 0.34 nm and a molecular sieving resolution of about 0.2 Å, where molecular sieving resolution refers to the ability of sieving molecules with size difference of 0.2 Å.
31. The gas selective filter according to claim 30 having a O.sub.2 permeance of the graphene membrane is from about 100 GPU (3.4×10.sup.−8 mol m.sup.−2s.sup.−1Pa.sup.−1) to about 1'300 GPU (4.4×10.sup.−7 mol m.sup.−2s.sup.−1Pa.sup.−1).
32. The gas selective filter according to claim 30 having CO.sub.2 permeance is from about 850 GPU (2.8×10.sup.−7 mol m.sup.−2s.sup.−1Pa.sup.−1) to about 11'850 GPU (4.0×10.sup.−6 mol m.sup.−2s.sup.−1Pa.sup.−1).
33. A gas selective filter obtainable from the method according to claim 18.
34. A method of selectively separating gases comprising applying a gas comprising CO.sub.2 and H.sub.2, N.sub.2 and/or CH.sub.4 to a gas selective separation filter according to claim 30 and separating H.sub.2, N.sub.2 and/or CH.sub.4 from CO.sub.2.
Description
BRIEF DESCRIPTION OF THE DRAWINGS
[0030]
[0031]
[0032]
[0033]
[0034]
[0035]
[0036]
[0037]
[0038]
[0039]
[0040]
DETAILED DESCRIPTION OF EMBODIMENTS OF THE INVENTION
[0041] The expression “graphene membrane” is a graphene layer, in particular a graphene monolayer such as obtained for example by CVD. For example, a single-layer graphene membrane has a thickness in a range of about 0.34 to 1 nm. The graphene membrane according to embodiments of the invention may however also include bilayer graphene, or portions with bilayer graphene, it being understood that achieving a highly homogeneous monolayer over the surface area of the membrane may not be efficient for an industrial scale manufacturing of the membrane.
[0042] The expression “sacrificial support layer” is a suitable support (e.g. a Cu, Ni, Pt or any other metallic substrate on which single-layer graphene can be synthesized), in particular a non-porous support, for a graphene membrane that can be sacrified before or after the graphene membrane is applied to a structural (mechanical) support.
[0043] The expression “membrane performance” refers to the combination of the membrane gas permeance and its gas selectivity. Typically, in the field of gas separation, CO.sub.2 permeance of 1'000 GPU and CO.sub.2/N.sub.2 selectivities of 20 or higher is considered as a good membrane performance. Further, O.sub.2 permeance of 35 GPU and O.sub.2/N.sub.2 selectivities of 3 or higher (Kiwon, et al., 2019, Angew. Chem. Int. Ed., 131, 16542-16546) is considered as a good membrane performance.
[0044] Referring to the figures, in particular first to
[0045] More specifically, the steps of the embodiment illustrated in
[0050] Each transient ozone gas pulse is provided into the reactor chamber at a pressure of about 3 to about 28 Torr from an ozone source. Since O.sub.3 is not delivered in the form of a pure gas but as a mixture of O.sub.2 and O.sub.3, these values correspond to the O.sub.3 partial pressure. Therefore, depending on the content in ozone present in the ozone source, the total pressure to be applied to the reactor will need to be adapted to reach an ozone gas partial pressure of 3 to about 28 Torr in the reactor.
[0051] According to a particular embodiment, the graphene membrane is provided in a heated reactor chamber under an inert gas atmosphere.
[0052] According to a further particular embodiment, the reactor chamber is heated under H.sub.2 pressure.
[0053] According to a particular embodiment, the reactor chamber is heated under H.sub.2 pressure and then the inert gas is switched to Argon and the temperature of the reactor chamber is stabilized to the reactor temperature.
[0054] According to a further particular embodiment, the Argon flow is switched off when the temperature of the reactor chamber is stabilized to the reactor temperature.
[0055] According to a particular embodiment, the transient ozone gas pulse is provided into the reactor chamber at a pressure of about 3 to about 27 Torr from an ozone source. According to another particular embodiment, the reactor chamber at a pressure of about 5 to about 28 Torr from an ozone source.
[0056] According to another particular embodiment, the ozone source is connected to the reactor chamber through a millisecond leak valve.
[0057] According to another particular embodiment, the transient ozone gas pulse is subjected to the graphene membrane such that the graphene etching time is kept well below 1 s.
[0058] According to another particular embodiment, the transient ozone gas pulse lasts for about 0.01 to about 0.2 seconds.
[0059] According to another particular embodiment, each transient ozone gas pulse lasts 100 ms or less for example from about 10 ms to about 100 ms.
[0060] According to another particular embodiment, the plurality of transient ozone gas pulses comprises about 10 to 20 pulses of 100 ms or less, e.g. about 15 pulses of 100 ms or less for example from about 10 ms to about 100 ms.
[0061] According to another further particular embodiment, the pulses of said plurality of pulses are generated sequentially spaced in time at an interval from about 100 ms to about 500 ms between pulses.
[0062] According to another particular embodiment, the transient ozone gas pulse contains a O.sub.3 dose of about 3.2×10.sup.16 to about 3.5×10.sup.17 molecules cm.sup.−3 s, such as about 1.6×10.sup.17 molecules cm.sup.−3 s.
[0063] According to another particular embodiment, ozone is purged from the reactor chamber during the transient ozone gas pulse, or immediately after or with a short delay after the last transient ozone gas pulse. The short delay is preferably less than 10s, preferably less than 1s, more preferably within a range of 0 to 800 ms, for instance about 500 ms.
[0064] According to another particular embodiment, ozone is immediately purged from the reactor chamber immediately after the last transient ozone gas pulse.
[0065] According to another particular embodiment, ozone is purged from the reactor chamber through a vacuum purge system.
[0066] According to another particular embodiment, ozone is purged from the reactor chamber by an inert gas purge flow connected to the vacuum purge system after the last transient ozone gas pulse.
[0067] According to another particular embodiment, the inert gas purge lasts for from about 1 to 10 seconds.
[0068] According to another particular embodiment, the inert gas purge is pressurized Ar or He purge.
[0069] According to another particular embodiment, the ozone source comprises a buffer reservoir tank containing a mixture of O.sub.2 and O.sub.3 at a pressure of about 1 and 5 bars.
[0070] According to another particular embodiment, the buffer reservoir tank contains a mixture of O.sub.2 and O.sub.3, wherein the O.sub.3 molar content is about 9%.
[0071] According to another particular embodiment, the buffer reservoir tank is filled with a continuous flow of mixture of O.sub.2 and O.sub.3 provided by an ozone generator.
[0072] According to another particular embodiment, the continuous flow of mixture of O.sub.2 and O.sub.3 provided by an ozone generator into the buffer reservoir tank is of about 100 sccm to about 200 sccm for example about 100 sccm.
[0073] According to another particular embodiment, the reactor temperature is from about 150 to about 300° C.
[0074] According to another particular embodiment, the reactor temperature is from about 120 to about 290° C.
[0075] According to another particular embodiment, the reactor temperature is from about 150 to about 290° C.
[0076] According to another particular embodiment, the ozone treated graphene membrane is cooled down within the reactor chamber under intert atmosphere.
[0077] According to another further particular embodiment, the ozone treated graphene membrane is cooled down within the reactor chamber under Ar atmosphere.
[0078] According to another particular embodiment, when the sacrificial support is copper, the cooled down ozone treated graphene membrane is then subjected to an annealing temperature treatment under intert atmosphere to reduce the copper.
[0079] According to another particular embodiment, when the sacrificial support is copper, the cooled down ozone treated graphene membrane is then subjected to an annealing temperature treatment at a temperature about 300° C. under reduced atmosphere (e.g. H.sub.2) to reduce the copper.
[0080] According to further particular embodiment, the ozone treated graphene membrane can be subjected to an additional treatment to slightly increase the mean pore size and therefore the molecular cutoff, said additional treatment comprising a further step of subjecting the ozone treated graphene membrane after cooling at room temperature to a O.sub.2 atmosphere (e.g. from about pressure range of 1-10 bar) at a temperature of about 150-300° C. (e.g. about 200° C.) for about 0.1 to about 2 h. In this case, CO.sub.2 and O.sub.2 permeance as well as CO.sub.2/N.sub.2 and O.sub.2/N.sub.2 selectivities were further increased.
[0081] According to another particular embodiment, the ozone treated graphene membrane can be assembled into a gas filter module after removal of the sacrificial support layer and provision of a reinforcement support by known techniques such as for example described in our previous report (Huang, et al., Nat. Commun., 2018, 9, 2632) and WO 2019/175162.
[0082] Referring to the figures, in particular first to
[0083] More specifically, a millisecond gasification system 50 according to an embodiment of the invention includes a reactor chamber 4 comprising an inlet 6 and an outlet 8, a reactor chamber atmosphere controlling system 53 coupled fluidly to the reactor chamber inlet 6, a purge system 55 coupled fluidly to the reactor chamber inlet 6, a pressurized ozone delivery system 52 coupled fluidly to the reactor chamber inlet 6, and a vacuum system 56 coupled fluidly to the reactor chamber outlet 8.
[0084] The millisecond gasification system 50 further comprises a reactor chamber heating system 51 configured to heat and control the temperature inside the reactor chamber 4.
[0085] The ozone delivery system 52, a reactor chamber atmosphere controlling system 53, and purge system 55 may be connected fluidly to the reactor chamber 4 individually via separate inlets (not shown), or as illustrated, may be connected via a multi-entry port connector or valve 59 to a single reactor chamber inlet 6.
[0086] The ozone delivery system 52 comprises an ozone source that may comprise an ozone generator 14 and optionally a buffer reservoir tank 10 fluidly connected downstream to the ozone generator, and a millisecond leak valve 9 (MLV-1) arranged between the ozone source and the reactor chamber inlet 6. The ozone delivery system 52 may further comprise a pressure regulator 13 arranged between the millisecond leak valve 9 and the reactor chamber inlet 6 configured to regulate, in particular set a maximum pressure threshold for the ozone supplied to the reactor chamber. The millisecond leak valve 9 (MLV-1) may be actuated to deliver a transient ozone gas pulse into the reactor chamber 4. The pressurized ozone source and millisecond leak valve 9 are thus operable to deliver a transient ozone gas pulse in the reactor chamber 4.
[0087] According to a particular embodiment, the buffer reservoir tank 10 may contain a mixture of O.sub.2 and O.sub.3 generated by ozone generator 14 at a pressure of about between 1 and 10 bars (e.g. about 5 to about 10 bars) with pressure regulator 13.
[0088] The a purge system 55 comprises a purge gas source 65 that may comprise a pressurized reservoir tank filled preferably with an inert gas such as Argon or Helium, and a millisecond leak valve 12 (MLV-2) arranged between the purge gas source and the reactor chamber inlet 6. The purge system millisecond leak valve 12 (MLV-2) may be actuated to rapidly deliver the purge gas into the reactor chamber 4, thus rapidly purging the ozone gas out from the reactor chamber 4 through the reactor chamber outlet 8 during or right after the transient pressurized ozone gas pulse.
[0089] The purge system 55 preferably comprises a vacuum generation system 56 comprising a vacuum pump 16 and a vacuum control valve 17, said vacuum control valve being in fluid communication with the reactor chamber 4 through the reactor gas outlet 8 to evacuate the ozone gas from the reactor chamber 4 during or right after the transient pressurized ozone gas pulse. The vacuum pump 16 may thus remain in pumping operation prior to ozone pulse treatment and the subsequent inert gas purge, the control of the vacuum pressure in the reactor chamber being effected by the opening and closing of the vacuum control valve 17. The system may further comprise a pressure transducer 63 to monitor the pressure inside the reaction chamber 4.
[0090] According to an embodiment, the millisecond leak valve 12 may be actuated shortly after (e.g. delay of 0 to 1 s) the end of actuation of millisecond leak valve 9 to deliver pressurized purge gas into the reactor chamber 4 through the multi-entry port valve 59.
[0091] According to a particular embodiment, the reactor chamber atmosphere controlling system 53 comprises a gas line 54 fluidly connected to one or more atmosphere control gas sources 61a, 61b, and a gas flow controller 15 to control the delivery and optionally the composition (mixture) of the control gas into the reactor chamber 4 prior to ozone treatment and subsequent to ozone treatment.
[0092] The control gas injected into the reaction chamber prior to ozone treatment may be different from the control gas injected into the reaction chamber subsequent to ozone treatment. For instance, prior to ozone treatment, during heating of the reaction chamber, the atmosphere control gas may comprise an inert gas such as Argon or Helium, and subsequent to ozone treatment, the atmosphere control may be a reaction gas, such as a reducing gas, in particular H.sub.2 to reduce the copper support layer, or an oxidative gas, in particular O.sub.2 to control the membrane pore size.
[0093] The outlet of the gas flow controller 15 may be connected to the multi-entry port valve 59 though an inlet 7 of multiport valve 59 being in fluid communication with the reactor gas inlet 6.
[0094] The reactor chamber heating system 51 comprises a temperature sensor 20 configured to measure the temperature inside the reactor chamber 4, heating means 18, and a temperature controller 19 connected to the heating means and the temperature controller to control the amount of heat generated by the heating means as a function of the temperature inside the reactor chamber 4 and the desired reaction temperature.
[0095] According to a particular embodiment, the millisecond valve 12 (MLV-2) is actuated in a controlled manner to deliver a pre-defined ozone quantity (e.g. from about 3×10.sup.16 to about 3.8×10.sup.17 molecules cm.sup.−3, such as about 3.2×10.sup.16 to about 3.5×10.sup.17 molecules cm.sup.−3) for a pre-defined time (e.g. from about 0.01 to about 0.3 seconds) in order to keep the graphene etching time well below 1 second.
[0096] According to a particular embodiment, gas selective filters according to the invention have a pore density of about 1.0×10.sup.12 to about 1.6×10.sup.12 cm.sup.−2.
[0097] According to a particular embodiment, gas selective filters according to the invention have a pore-size distribution of about 0.1 to about 0.5 Å, typically of about 0.2 Å.
[0098] According to a particular aspect, the gas selective filters according to the invention can be advantageously used for carbon capture (O.sub.2/N.sub.2, CO.sub.2/CH.sub.4 and CO.sub.2/N.sub.2 separation).
[0099] According to a particular aspect, the gas selective filters according to the invention have O.sub.2 permeance of about 100 to about 1'300 GPU (e.g. 1'300 GPU).
[0100] According to a particular aspect, the gas selective filters according to the invention have CO.sub.2 permeance of about 850 to about 11'850 GPU (e.g. 11'850 GPU).
[0101] According to a particular aspect, the gas selective filters according to the invention have O.sub.2/N.sub.2 selectivity of about 1.6 to about 3.4 (e.g. 3.4).
[0102] According to a particular aspect, the gas selective filters according to the invention have CO.sub.2/O.sub.2 selectivity of about 7.4 to about 12.6 (e.g. 7.4).
[0103] According to a particular aspect, the gas selective filters according to the invention have CO.sub.2/N.sub.2 selectivity of about 8.6 to about 27.6 (e.g. 21.7).
[0104] According to a particular embodiment, the control of pore nucleation and expansion through the control of the pressure of the gaseous etchant (O.sub.3) and the time of exposure of the graphene membrane to such a pressure in a method of the invention advantageously allowed to: [0105] (i) increase the density of vacancy defects while maintaining the PSD suitable for CO.sub.2-sieving, [0106] (ii) slowdown the pore expansion by generating a high nucleation density in the millisecond time scale.
[0107] A rectangular-shaped high O.sub.3 pressure exposure profile (typically to maintain a O.sub.3 pressure of about 28 Torr that increases the area under the pressure-time curve leads to the narrowest PSD and an ozone gas pressure profile can be advantageously structured in the form of a plurality of pulses of high-pressure exposure according to the invention to achieve both an increase in the density of vacancy defects while maintaining a suitable PSD for CO.sub.2 sieving and slowing down the pore expansion rate to control the pore size.
[0108] According to a particular embodiment, a method of the invention comprising a plurality of ozone gas pulse of high-pressure exposure is surprisingly much more effective than a method using an increase of the etching temperature because temperature accelerates the kinetics of nucleation as well that of etching whereas nucleation and expansion have separate dependencies on pressure.
[0109] According to a particular embodiment, the CO.sub.2/N.sub.2 separation performances of the graphene membrane can be further enhanced by structuring the transient ozone gas pulse in the form of multiple micro-exposure time at high pressure.
[0110] Implementation of the above concept resulted in narrower PSD in N-SLG compared to the state-of-the-art, improving the CO.sub.2-sieving performance with CO.sub.2 permeance of 4'400±2070 GPU and CO.sub.2/N.sub.2 selectivity of 33.4±7.9 with the highest selectivity close to 40.
[0111] The remarkable observed CO.sub.2 permeance is much higher than the CO.sub.2 permeance obtained from the commercial membranes which is not higher than about 1'020 GPU since the obtained CO.sub.2 permeances were around 3'000 GPU and even up to about 25'530 GPU for a plurality of pulses. Further, the CO.sub.2/N.sub.2 selectivity of the gas selective filters according to the invention (typically about 15.0 for single pulse, and from 12.5 to about 39.8 for plurality of pulses) would allow their use as a valuable tool for CO.sub.2 capture from efflux gases (e.g. steel and cement industries) and without the need of costly N.sub.2 pressurization.
[0112] The high permeance would reduce the needed membrane area for treating a given volume of gas mixture, thereby, will reduce the capital cost of the separation process. The reduced area in turn, will reduce the pressure drop along the feed side, which can prove to be crucial for the low-feed-pressure separation application such as post-combustion capture.
[0113] The invention having been described, the following examples are presented by way of illustration, and not limitation.
EXAMPLES
Example 1: Method of Single-Layer Membrane with a Molecular Sieving Resolution of 0.2 Å
[0114] A method of the invention for the preparation of a gas selective filter is illustrated on
Step a: A Synthesized CVD Graphene on a Sacrificial Support Layer is Provided
[0115] A supported graphene was provided as a CVD monolayer graphene 1 supported on a sacrificial support layer 2 (e.g. Cu) which was synthesized by low-pressure CVD (LPCVD) on a Cu foil as earlier described (Li et al., 2009, Science, 324, 1312-1314; Bae et al., 2009, Nat. Nanotechnol. 5, 1-5). Briefly, the Cu foil was annealed at 1000° C. in a CO.sub.2 atmosphere at 700 Torr for 30 min to remove the organic contaminations. Then, the CO.sub.2 flow was stopped and the chamber was evacuated. Subsequently, 8 sccm of H.sub.2 was introduced in the chamber to anneal the Cu surface at 1000° C. For graphene growth, 24 sccm of CH.sub.4 was added at a total pressure of 460 mTorr for 30 min. After the growth, the chamber was rapidly cooled down to room temperature while maintaining the H.sub.2 flow.
[0116] The Cu foil was pre-treated by thermal annealing to obtain Cu (111) to improve the uniformity of graphene and to reduce the density of intrinsic vacancy defects as follows: a commercial Cu foil was thermally pre-annealed in a three-zone high-temperature furnace equipped with a high-purity alumina tube (99.8% purity, diameter: 5 cm, length: 1.2 m, MTI Corp.), covered by a fused quartz tube (diameter: 6 cm, length: 1.4 m, MTI Corp.) to prevent the silica contamination. Cu foils sourced from Alfa-Aesar (99.8% purity, 25 μm), and Strem Chemicals Inc. (99.9% purity, 50 μm) were placed in the furnace and heated to 1000° C. with 700 Torr CO.sub.2 to remove the organic contamination (Strudwick et al., 2015, ACS Nano., 9, 31-42). Then, CO.sub.2 was pumped out and the reactor was filled with 10/90 H.sub.2/Ar mixture to a pressure of 700 Torr. Subsequently, the reactor was maintained at 1075° C. for 1 h. This was followed by a controlled cooling of 0.1° C. min.sup.−1 to 1000° C., after which the reactor was cooled down to room temperature.
Step b: Subjecting the CVD Graphene on a Sacrificial Support Layer to Control Nucleation and Expansion of Vacancy Defects by O.SUB.3 .Pulse
[0117] The single-layer graphene on copper (1, 2) obtained as described above was placed on a support for single-layer graphene 3 in a millisecond gasification system equipped with 1-inch×10 cm stainless steel reactor chamber 4 with a gas purge system 55 a pressurized ozone delivery system 52 and a reactor chamber atmosphere controlling system 53. The purge system 55 comprises a vacuum generation system 56 comprising a vacuum pump 16 and a vacuum control valve 17. The reactor chamber atmosphere controlling system 53 is connected to a control gas (e.g. Ar or H.sub.2) inlet 7 and a control gas flow controller 15, wherein said control gas (e.g. Ar or H.sub.2) inlet 7 is in fluid communication with the reactor chamber 4 through a multiport valve 59 connected to the reactor inlet 6.
[0118] The ozone delivery system 52 comprises an ozone source 14, 10 connected to the reactor chamber 4 through a millisecond leak valve 9 (MLV-1).
[0119] The gas purge system 55 preferably comprises a purge gas source 65 in fluid communication with the reactor gas inlet 6 of the reactor chamber 4 through a millisecond leak valve 12 (MLV-2).
[0120] The ozone source comprises a buffer tank reservoir 10 containing an oxygen and ozone mixture generated by ozone generator 14 which is maintained at a pressure of 1 bar-5 bar pressure with a pressure regulator 13 by a continuous mixture flow of O.sub.2 and O.sub.3 (9 mol % in O.sub.3) generated by an ozone generator 14 (Absolute Ozone® Atlas 30).
[0121] The single-layer graphene on copper (1, 2) was loaded in the reactor chamber 4 which was equipped with a reactor chamber heating system 51 comprising heating means 18 (e.g. a heating tape wrapped around the reactor chamber), a temperature controller 19, and a temperature sensor 20 (e.g. a thermocouple) placed in the reactor chamber 4 to monitor the temperature inside the reactor chamber 4. The reactor chamber 4 containing the single-layer graphene on copper 1 was heated (e.g. 120-290° C.) under an H.sub.2 atmosphere (0.8 Torr) provided through the reactor chamber atmosphere controlling system (e.g. mass flow controller) during the temperature ramping stage (from room temperature to reactor temperature) of the reactor chamber heating system 51. Then, the inert gas inlet was switched to Ar and stabilized to the reactor temperature (e.g. 250° C.). Then, the millisecond leak valve 9 (MLV-1) controlled by a LabVIEW™ program was opened within a certain time (e.g. for 0.01-0.2 s) to deliver ozone from the buffer tank reservoir 10 into the reactor chamber 4 in the form of a short O.sub.3 pulse, with peak O.sub.3 pressure in the range of 3-27 Torr (
[0122] The O.sub.3 dose was calculated by the area under the curve of O.sub.3 pressure as a function of time which was controlled by varying the MLV-1 opening time (τ) and O.sub.3 supply pressure (P.sub.up) as detailed in Table 1 below (
TABLE-US-00001 TABLE 1 τ P.sub.up t.sub.d Ozone dose (s) (bar) Purge gas (s) (molecules cm.sup.−3 s) 0.01 3 no purge — 4.8 × 10.sup.16 0.05 3 no purge — 1.2 × 10.sup.17 0.1 3 no purge — 2.2 × 10.sup.17 0.2 3 no purge — 3.5 × 10.sup.17 0.05 5 Ar 0.5 1.8 × 10.sup.17 0.1 3 Ar 0 3.2 × 10.sup.16 0.1 5 Ar 0 7.7 × 10.sup.16 0.1 3 Ar 0.5 1.6 × 10.sup.17 0.1 5 Ar 0.5 2.9 × 10.sup.17 0.1 3 Ar 1 2.0 × 10.sup.17 0.2 5 Ar 0 1.4 × 10.sup.17 0.2 3 Ar 0.5 2.7 × 10.sup.17 0.05 5 Pressurized He 0.2 1.2 × 10.sup.17 0.1 5 Pressurized He 0.2 2.1 × 10.sup.17
[0123] A model of the pressure control system for the reactor is shown in
[0124] A mathematical model was built to investigate the pressure profile of ozone when MLV is opened and closed. Briefly, the MLV-1 valve is opened at t=0 s, and is closed at t=τ. During 0<t<τ, the O.sub.2/O.sub.3 mixture is delivered in the MGR. We define C.sub.1 as a flow coefficient of MLV (flow rate across MLV is obtained by multiplying flow coefficient with pressure difference across MLV as shown in eq. S1),
as the inward flow rate of gas in the reactor chamber.
C.sub.2 is defined as a transport coefficient of outlet valve,
as the flow rate of gas pumped out from the reactor chamber.
[0125] Hence, the amount of gas accumulated in the reactor chamber,
is calculated as follows:
[0126] Therefore, during 0<t<τ, the pressure change in the reactor chamber is
where V.sub.r is the reactor volume (150 cm.sup.3).
[0127] When t>τ, the MLV is closed, and the O.sub.2/O.sub.3 mixture is pumped out by the vacuum pump leading to exponential decay of the pressure. The corresponding change in pressure profile is captured by following:
[0128] After solving eqs. S4 and S6, we could calculate the pressure of the reactor chamber.
[0129] 0<t<τ
[0130] When t=τ, P.sub.r=P.sub.r−τ
t>τ
[0131] By fitting the experimental data of MLN open for τ=0.1 s (
[0132] The O.sub.3 dose is defined to describe the total amount of O.sub.3 delivery in the reactor chamber, calculated as follows:
where [O.sub.3] is the concentration of 03, P.sub.O.sub.
[0133] Overall, O.sub.3 dosage of 3.2×10.sup.16 to 3.5×10.sup.17 molecules cm.sup.−3 s was delivered while keeping the etching time well below 1 s.
[0134] Subsequently, the sample was cooled down to room temperature within the Ar atmosphere. After cooling down, the single-layer graphene on copper (1, 2) was annealing in the reactor within the H.sub.2 atmosphere at 300° C. to reduce the copper.
[0135] The obtained single-layer graphene on copper (1, 2) was then used to prepared a reinforced membrane for us as a gas filter as previously reported (Huang et al., 2018, Nat. Commun. 9, 2632) were a nanoporous carbon (NPC) film was deposited on graphene as reinforcement. The NPC was fabricated by spin-coating a solution of turanose and polystyrene-co-poly(4-vinyl pyridine) (PS-P4VP) on top of the N-SLG. 0.1 g block-copolymer (poly (styrene-b-4-vinyl pyridine), Polymer Source) and 0.2 g turanose (Sigma-Aldrich) were dissolved in DMF (Sigma-Aldrich), followed by the 180° C. heating treatment. Pyrolysis of the polymer film was conducted at 500° C. in a H.sub.2/Ar atmosphere for 1 h, forming the NPC film on top of graphene. The NPC/N-SLG/Cu was floated on a Na.sub.2S.sub.2O.sub.8 solution (20% wt. in water) to etch the Cu foil. After Cu etching, the floating NPC/N-SLG film was rinsed in deionized water to remove the residues. Finally, NPC/N-SLG was scooped on the porous tungsten support.
Example 2: Characterization of the Obtained Graphene Membrane
[0136] The obtained graphene membrane was characterized by Raman, transmission electron microscopy (TEM), high resolution TEM (HRTEM) and Aberration-corrected HRTEM (Ac-HRTEM) imaging as follows:
Raman Characterization
[0137] Graphene membranes obtained as described under Example 1 under different O.sub.3 dose conditions were transferred onto a SiO.sub.2/Si wafer by standard wet-transfer method. Single-point data collection and mapping were performed using Renishaw micro-Raman spectroscope equipped with a blue laser (λ.sub.L=457 nm, E.sub.L=2.71 eV) and a green laser (λ.sub.L=532 nm, E.sub.L=2.33 eV). Analysis of the Raman data was carried out using MATLAB™. For calculation of the D and the G peak height, the background was subtracted from the Raman data using the least-squares curve fitting tool (lsqnonlin).
[0138] The Raman spectroscopy of graphene films, exposed to increasing O.sub.3 dose between 4.8×10.sup.16 to 3.5×10.sup.17 molecules cm.sup.−3 s, revealed significant D and D′ peaks (
TEM Sample Preparation
[0139] Transfer-induced contaminations were minimized by reinforcing the graphene membranes obtained as described under Example 1 with a premade thin porous polymer film (e.g. polybenzimidazole) before transferring it to the transmission electron microscopy (TEM) grid. Using a premade porous film avoids polymer solution-induced contaminations in the surface of nanoporous graphene. Such contaminations are difficult to avoid when directly forming the porous film on top of graphene (He et al., 2019, Energy Environ. Sci., 12-16; Zhao et al., 2019, 5, eaav185) or when using a PMMA-based transfer approach (Gong et al., 2013, J. Phys. Chem. C. 117, 23000-23008). Moreover, the micrometer-sized open areas of the premade porous film offer plenty of opportunities for imaging nanoporous graphene. The thin porous polymer reinforcement layer was made of a thermally resistant polybenzimidazole copolymer (fumion® AM provided by FUMATECH BWT GmbH, Germany) which can be carbonized once it sits on top of nanoporous graphene to form a thermally conductive carbon porous reinforcement ideal for Ac-HRTEM imaging.
[0140] The polybenzimidazole copolymer was processed into a porous thin film using non-solvent induced phase separation. Briefly, a drop of a 1.5 wt. % solution of the polymer in DMAc was spread on top of a 25 μm Cu foil by gently pressed it with a glass slide. The Cu foil coated with the thin polymer solution was immersed in an IPrOH bath to precipitate the polymer solution layer into a thin porous polymer film. After drying the porous polymer film, the Cu foil was etched in a 20 wt. % sodium persulfate aqueous bath and the remaining floating polybenzimidazole copolymer porous film was transferred to a water bath to remove the sodium persulfate. The floating polybenzimidazole copolymer porous film was scooped from the water bath using the Cu foil with nanoporous graphene on its surface. After the porous film completely dried on top of the nanoporous graphene, a drop of IPrOH was poured on it to enhance the adhesion of the polymer film to the nanoporous graphene surface upon evaporation of the IPrOH. Subsequently, the porous polymer film was pyrolyzed at 500° C. in the flow of H.sub.2/Ar, leading to the formation of nanoporous graphene reinforced by a porous carbon. Next, the Cu foil was etched in a 20 wt % sodium persulfate bath and the resulting reinforced nanoporous graphene was washed with water and transferred to a 400-mesh gold TEM grid. Finally, the TEM grid loaded with the reinforced nanoporous graphene was cleaned inside activated carbon at 900° C. for one hour in the presence of H.sub.2 to remove contaminations covering the nanopores. Nanoporous graphene adsorbs contaminations easily, hence the cleaning at 900° C. in H.sub.2 is crucial to expose most of the nanopores prior to the imaging session. The cleaning was done taking the following precautions to avoid the presence of O.sub.2 in the system which could enlarge the pores: (i) Adsorbed O.sub.2 was removed prior to heating to high temperatures by evacuating the system three times and applying a vacuum of ca. 2×10.sup.−3 Torr at 200° C. for 2 h. (ii) Prior to heating to 900° C. the system was pressurized to ca. 850 Torr with a constant flow of H.sub.2 to avoid O.sub.2 leak. The system was kept pressurized at ca. 850 Torr under a constant flow of H.sub.2 for the rest of the cleaning procedure. Control experiments proved that grid preparation steps did not lead to the incorporation of nanopores.
HRTEM Imaging
[0141] High-resolution TEM (HRTEM) was performed using a Talos F200X (FEI) microscope operated at an acceleration voltage of 80 kV did not nucleate or expand nanopores. The dose rate was maintained at ca. 500 e.sup.−s.sup.−1 Å.sup.−2 during imaging. To clearly reveal the nanopores, and to verify that the pores did not expand during imaging the following procedure was followed: 1) 30 consecutive images were taken with an exposure time of 2 s each; ii) the first and last images were compared to verify that no pore expansion occurred during imaging; iii) the first 5 to 8 images were integrated together to form the final image were the nanopores are clearly visible. Typically, during HRTEM imaging of the MGR-treated graphene samples in Talos the pores experienced a dose of ca. 8×10.sup.3 e.sup.−Å.sup.−2 during focusing and imaging.
Ac HRTEM Imaging
[0142] Aberration-corrected (Cs) HRTEM (Ac-HRTEM) was performed using a double-corrected Titan Themis 60-300 (FEI) equipped with a Wein-type monochromator. An 80 keV incident electron beam was used for all experiments to reduce the electron radiation damage. The incident electron beam was monochromated (“rainbow” mode illumination) to reduce the effects of chromatic aberration, and a negative Cs of ˜17-21 μm and slight over focus were used to give a “bright atom” contrast in the images. The dose rate was maintained at ca. 2×10.sup.4 e.sup.−s.sup.−1 Å.sup.−2 during imaging and a slit was used to expose only the area of the sample being imaged to the electron beam.
[0143] The maximum energy that can be transferred to a carbon atom by an 80 keV incident electron is 15.8 eV which is below the knock-on energy threshold for an in-lattice carbon atom (i.e., 17 eV) (Girit et al., 2009, Science. 323, 1705-1708). In agreement, no knock-on from pristine areas was observed during imaging. Similar to Grit et al., 2009, supra, reconfiguration of the pore edge in the scale of seconds and in occasions even in less than a second and knock-on of edge atoms was observed (i.e., pore expansion) only after longer exposure times. The pores imaged to construct the pore library of the graphene samples after MGR treatment were exposed to doses that were low enough to avoid pore expansion. Typically, during imaging of the MGR-treated graphene samples the pores experienced a dose of ca. 2×10.sup.5 e.sup.−Å.sup.−2 during focusing and imaging and the first 5-10 frames (each frame corresponds to a dose of ca. 5×10.sup.3 e.sup.−Å.sup.−2) were integrated into the final image. When needed, the images were processed with a combination of Gaussian, average and/or Bandpass filters to make the graphene lattice clearer.
Analysis of TEM Images
[0144] A hexagonal mesh was manually fitted to match the graphene lattice surrounding the pore and the points of the mesh corresponding to the missing carbon atoms of the pore were subsequently removed. Dangling bonds and Stone-Wales defects were ignored. Such analysis is a powerful tool to quantify the number of missing atoms and to draw the shape of the pores. The obtained edge configuration of the pore should be taken with caution because at the imaging conditions used (i.e., 80 keV) edge reconfiguration is present. A total of 204 pores from three independently prepared samples were analyzed for the graphene treated with the following MGR conditions: 250° C., 1.6×10.sup.17 molecules cm.sup.−3 s (τ=0.1 s, t.sub.d=0.5 s Ar)
[0145] The diameter of the pores was determined using ImageJ™ software. The pore-diameter was calculated by fitting the largest possible circle that fitted inside the pore. Only pores surrounded by a graphene lattice were used for the analysis (i.e., pores touching a contamination were ignored). A total of 347 pores from three independently prepared samples were analyzed for the graphene treated with the following MGR conditions: 250° C., 1.6×10.sup.17 molecules cm.sup.−3 s (τ=0.1 s, t.sub.d=0.5 s Ar). The Ac-HRTEM images of the vacancy defects and lattice-fitted pore structures is presented on
[0146] High-resolution transmission electron microscopy (HRTEM) and aberration-corrected HRTEM (Ac-HRTEM) of the graphene were carried out to understand the pore-size distribution (PSD), pore density and pore structure of the graphene membranes obtained by a method of the invention. Several nanopore isomers, defined as pores of different structures formed by removing exactly V number of atoms, were observed. These isomers are referred to as P-Vj. For example, P-10i, P-10ii, and P-10iii are made by removing 10 carbon atoms but host different structures (
[0147] Etching experiments carried out at 150° C. with the same ozone dose as above yielded much lower pore density compared to that at 250° C. To estimate PSD, the expansion of pores nucleated during a certain time interval as a function of time was tracked. Briefly, the O.sub.3 exposure was divided into n equal intervals, Δt. At the end of O.sub.3 exposure, the number of missing carbon atom, v.sub.i, for those pores which nucleated during time step t.sub.i, could be calculated as following:
where N.sub.i is the number of new nuclei generated during a time step i, and ΔC.sub.i is the total number of carbon atoms etched from the existing defects in time step i. The PSD extracted by the model agrees well with that from the Ac-HRTEM observations (
STM
[0148] Scanning tunneling microscope (STM) imaging was carried by using a low-temperature scanning tunneling microscope (CreaTec Fischer & Co. GmbH). The N-SLG samples were reduced under 50 sccm H.sub.2 flow, at 800 Torr and 900° C. for 3 hours in a quartz tube furnace. Subsequently, the sample was put in STM ultrahigh vacuum (UHV) chamber as soon as in 1 hour.
[0149] The graphene membranes obtained as described in Example 1 over the Cu foil were used without the need of transferring graphene (
Example 3: Air Separation and Post-Combustion Carbon Capture Ability
[0150] Single-component and mixture gas permeation tests were carried out in a permeation module as described on
[0151] Gas flux was observed through 1-mm.sup.2-sized ozone treated graphene membranes prepared according to a method of the invention using O.sub.3 dosage of 3.2×10.sup.16 to 3.5×10.sup.17 molecules cm.sup.−3 s (τ=0.01-0.2 s), revealed that H.sub.2 and CO.sub.2 can be separated from CH.sub.4, with H.sub.2 and CO.sub.2 permeances increasing monotonically by 30-fold at the highest O.sub.3 dose (
[0152] The etching kinetics could be controlled to yield attractive CO.sub.2/CH.sub.4 selectivities at a wide range of reactor temperatures (i.e. 120-290° C.) with optimized O.sub.3 dosages (
[0153] The method of the invention has a unique advantage that one can adjust the molecular cut-off for a specific molecular-sieving application.
[0154] This is further supported by expanding vacancy defects using O.sub.2 at 200° C. in-situ. Briefly, the feed side of the ozone treated graphene membrane of the invention was pressurized with CO.sub.2/N.sub.2 mixture while the permeate side was swept with Ar, and a steady-state operation was achieved. To initiate the etching, the sweep gas was switched to O.sub.2. Subsequently, the partial pressure of CO.sub.2 and N.sub.2 in the permeate side was tracked as a function of time using an online mass spectrometer. After the reactor, the sweep was switched back to Ar to measure the state-state permeation data.
[0155] Upon O.sub.2 exposure at 200° C., CO.sub.2 and N.sub.2 concentrations in the permeate side increased as a function of time (
[0156] The slow pore expansion with O.sub.2 could shift the molecular cutoff by ca. 0.1 Å, consistent with etching kinetics of graphite with O.sub.2 at 200° C. Assuming first-order kinetics with O.sub.2, an etching rate constant of 1.6×10.sup.−7 nm min.sup.−1Torr.sup.−1 was estimated at these conditions (Chu et al., 1992, Surf Sci. 268, 325-332; Tracz et al., 2003, Langmuir. 19, 6807-6812; Yang et al., 1981, J. Chem. Phys. 75, 4471-4476). As a result, the pore expansion for 1-2 h favored O.sub.2 permeation, reducing CO.sub.2/O.sub.2 selectivity from 12.6 to 7.4, and increasing O.sub.2/N.sub.2 selectivity from 1.6 to 3.4 (
[0157] Overall, those data support that a method of the invention allows the controlled incorporation of vacancy-defects in graphene membrane by limiting the O.sub.3 exposure time to few milliseconds. The PSD in graphene can be tuned by the O.sub.3 dose and by a slow expansion in O.sub.2 atmosphere after ozone treatment (The graphene membrane treated by MGR was exposed to 200° C. O.sub.2 atmosphere for 1-2 h to conduct in-situ etching in the membrane module). MSR of 0.2 Å was achieved with attractive CO.sub.2/CH.sub.4, CO.sub.2/N.sub.2, O.sub.2/N.sub.2 separation performances with CO.sub.2/O.sub.2 and CO.sub.2/N.sub.2 selectivities up to 12.6 and 27.5, respectively. The porosity in the reported membranes is only ca. 1%, and yet, attributing to the ultrashort diffusion path, extremely large gas permeances were realized, indicating that there is a large potential in further improving the gas permeance by increasing the porosity.
[0158] A slow expansion of vacancy-defects with oxygen exposure at 200° C. could shift the molecular cutoff by 0.1 Å. Resulting O.sub.2/N.sub.2 selectivity of 3.4 with corresponding O.sub.2 permeance of 1'300 gas permeation units (GPU), and CO.sub.2/N.sub.2 selectivity of 21.7 with corresponding CO.sub.2 permeance of 11'850 GPU, make gas filter membranes of the invention attractive for energy-efficient decentralized air separation and post-combustion carbon capture.
Example 4—Å-Scale Control of Pore-Size-Distribution by a Method of the Invention Using a Plurality of Micro-Pulse of O.SUB.3 .at High Pressure
[0159] A custom millisecond gasification reactor (MGR) as described above was used to expose as-synthesized single-layer graphene using chemical vapor deposition (CVD) on a copper foil, to a limited dose of O.sub.3, i.e., with a time resolution of few milliseconds in the pressure range of 0-760 torr and temperature range of 120-290° C. Briefly, the exposure time and the pressure were controlled by two synchronized millisecond leak valves (MLVs) responsible for introducing and purging O.sub.3.
[0160] The advantage of using a plurality of micro-pulse over the use of a single pulse is that the pressure profile is not fixed by the conductance of the two MLVs controlling the gas flow in the reactor as in the case of the single pulse. Indeed, O.sub.3 delivery via a plurality of transient pulses allows one to explore several pressure profiles as a function of the MLV opening time (τ.sub.o), the time interval between two consecutive pulses (τ.sub.i), and the number of pulses (F) (
[0161] Indeed, compared to the case of a single pulse (control experiment, panels i in
[0162] The following mathematical model for predicting the PSD was established as follows.
[0163] The reaction of O.sub.3 with graphene proceeds as follows: an O.sub.3 molecule chemisorbs on to graphene yielding an epoxy group on the lattice. The epoxy groups are highly mobile, even at room temperature, attributing to low energy barrier for diffusion (˜0.73 eV), and subsequently diffuses around to form energy-minimizing epoxy clusters, eventually evolving into ether chains. The strain present in the chain ultimately leads to C—C bond cleavage (nucleation event). Therefore, the nucleation rate is proportional to the population of the epoxy groups, and consequently, proportional to the O.sub.3 pressure, P (Equation 2). In the case of expansion of pre-existing nanopore, O.sub.3 molecules can directly attach to the nanopore edge. Pore expansion proceeds by the release of CO and CO.sub.2 from the lattice with an energy barrier of ˜1.1 eV. In this case, the expansion rate is proportional to P.sup.n where n<1 (Equation 3). Later, we show that a value of 0.5 for n predicts the experimentally-observed PSD reasonably well.
where θ is nucleation density, C is the number of missing carbon atoms, t is time, and k.sub.θ and k.sub.e are rate constants for pore nucleation and expansion, respectively.
[0164] Equations 2 and 3 indicate that the O.sub.3 pressure profile in the reactor would play an important role in determining the PSD. They also indicate that pore nucleation, compared to pore expansion, is a stronger function of P and will be relatively promoted at a higher P. On the other hand, since the energy barriers for pore nucleation and expansion are comparable, the reaction temperature is not an optimal parameter for the relative tuning of the kinetics of nucleation versus that of expansion. In fact, increasing the temperature will increase the rates of both events. Given the P dependency, the pressure profile is expected to play a stronger role than temperature. Inspired by this insight, several pressure profiles have been screened to arrive at a narrow PSD.
[0165] The robustness of the mathematical model for predicting the PSD was verified by imaging nanopores using the aberration-corrected high-resolution transmission electron microscopy (Ac-HRTEM) (
C.sub.correction∂GC.sub.countour (4)
where C.sub.contour is the number of carbon atoms that form the contour of the vacancy defect and can be extracted by measuring the length of the contour and dividing by the distance between carbon atoms in a graphene lattice (0.142 nm) and G is a geometric correction factor.
[0166] The estimated number of missing carbon atoms (C.sub.missing) was calculated using the following equation:
C.sub.missing=C.sub.mismatch GC.sub.contour (5)
[0167] The geometric correction factor for our system was calculated by simulating 10 pores of a known structure (i.e., known number of missing carbon atoms and number of carbon atoms in the contour), analyzing them using the geometric approach, and minimizing the error between the real number of carbon missing atoms and C.sub.missing. The calculated geometric factor was 2.5. The calculated number of missing carbon atoms using the graphical approach for the P-22 shown in was 21 which corresponds to an error of 5%.
[0168] The validity of the graphical approach was verified by analyzing four vacancy defects with three different mismatch angles each of them. The analyzed vacancy defects were P-6, P-13, P-22, and P-65 (containing 6, 13, 22, and 65 missing carbon atoms, respectively). The calculated number of missing carbon atoms by the graphical approach was in good agreement with the real number of missing carbon atoms (the observed errors were ≤10%).
[0169] An alternative approach to analyzing the vacancy defects is to precisely draw the graphene lattice around them and count the number of missing carbon atoms. However, this type of analysis is time-consuming and is restricted to vacancy defects where the lattice is completely resolved around them. Overall, the graphical approach is a powerful tool to meaningful calculate the PSD of nanoporous graphene samples. It allows the analysis of a vast number of pores because the lattice does not have to be resolved entirely around the pore.
[0170] The representative nanopores from the “intermediate” case are shown in
[0171] To understand the separation performance of narrower PSDs achieved in this study, membranes were prepared by mechanically-reinforcing N-SLG with a thin film of poly[1-(trimethylsilyl)-1-propyne (PTMSP) followed by the wet-transfer of the polymer-reinforced film to a porous tungsten support hosting an array of 5-μm holes. For comparison, a standalone 250±10 nm thick PTMSP membrane without the N-SLG film, yielded CO.sub.2 permeance of 33'290±7'140 GPU and a CO.sub.2/N.sub.2 separation factor of 10.7±0.1, consistent with the earlier reports.
[0172] Based on the model, the density of the vacancy defects for the control (single pulse case (with 0-13.5 torr of ozone), “low”, “intermediate”, and “high” pressure profiles were 1.8×10.sup.12, 7.2×10.sup.12, 5.3×10.sup.12, and 1.3×10.sup.13 pores per square cm (cm), respectively. Out of the ensemble of nanopores, only nanopores that are made of 13 missing carbon atoms (P-13) or are larger than P-13, will have a large enough electron-density-gap to allow CO.sub.2 transport with a reasonably-low energy barrier, especially considering that the O.sub.3-etched nanopores are oxygen-functionalized.
[0173] Therefore, P-13 or larger nanopores will determine the CO.sub.2 permeance. In fact, among all PSD, the “low” profile leads to the highest density of CO.sub.2-permeable nanopores (1.8×10.sup.12 cm.sup.−2), and yields the highest CO.sub.2 permeance (25'530 GPU). In the two other cases (“intermediate” and “high”), the density of CO.sub.2-permeable pores is lower (3.8×10.sup.11 and 2.9×10.sup.11 cm.sup.−2, respectively) and similar to the single pulse condition (1.9×10.sup.11 cm.sup.−2) and as a result, CO.sub.2 permeances are lower (3'170 and 4'400±2'070 GPU, respectively, despite having overall higher defect densities. “Intermediate” and “high” also have similar CO.sub.2 permeance to control single (4'870±1600 GPU). However, interestingly, they show a higher CO.sub.2/N.sub.2 selectivity due to a narrow PSD.
[0174] The CO.sub.2/N.sub.2 selectivity is determined by the population of the nanopores which allow CO.sub.2 transport relative to that of the larger nanopores which also allow N.sub.2 transport. The PSD obtained by the “low” pressure profile did not lead to substantial improvement in the separation factor (12.5±0.5) compared to standalone PTMSP. This is due to the presence of a substantial number of nanopores larger than those missing 16 carbon atoms (P-16) that are known to allow N.sub.2 transport with a reasonably-low energy barrier. In contrast, both “high” and “intermediate” pressure profiles led to much-improved separation factors (33.4±7.9, 18.6±0.8, respectively), with the highest separation factor being 39.8. This is significantly higher compared to that from the PTMSP (10.7±0.1) and also further higher than that resulting from a method of the invention with a transient pulse being a single-pulse (15.0±0.5), demonstrating the attractiveness of a multi-micro-pulse millisecond etching according to one aspect of the invention. In summary, high-performance post-combustion carbon capture membranes (CO.sub.2 permeance 4'400±2070 GPU and a corresponding CO.sub.2/N.sub.2 selectivity of 33.4±7.9) could be achieved.
LIST OF ELEMENTS REFERENCED IN THE FIGURES
[0175] Millisecond gasification system 50 [0176] support for single-layer graphene 3 [0177] reactor chamber 4 [0178] reaction chamber inlet 6 [0179] reaction chamber outlet 8 [0180] reactor chamber heating system 51 [0181] heating means 18 [0182] temperature controller 19 [0183] temperature sensor 20 [0184] ozone delivery system 52 [0185] ozone source [0186] buffer reservoir tank 10 [0187] pressure regulator 13 [0188] ozone generator 14 [0189] millisecond leak valve 9 (MLV-1) [0190] reactor chamber atmosphere controlling system 53 [0191] control gas sources 61a, 61b [0192] control gas line 54 [0193] control gas flow controller 15 [0194] gas purge system 55 [0195] purge gas source 65 [0196] vacuum generation system 56 [0197] vacuum pump 16 [0198] vacuum control valve 17 [0199] pressure transducer 63 [0200] millisecond leak valve 12 (MLV-2) [0201] multi entry port valve 59 [0202] ozone inlet 5 [0203] purge gas inlet 57 [0204] control gas inlet 7