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氦气(He)在众多科学和工业领域中都具有非常广泛的应用, He资源的短缺和需求的不断增长使得He分离具有极其重要的意义. 石墨烷合成简单、晶体结构稳定, 是一种用于构建气体分离膜的潜在理想二维材料. 本文通过第一性原理计算, 对四种具有不同尺寸冠醚孔的石墨烷膜(crown ether graphane- n, CG- n, n= 3, 4, 5, 6)的He分离性能进行了研究. 计算结果表明, 四种冠醚石墨烷结构都具有较高的热力学、化学稳定性, 并且CG-5和CG-6具有合适的孔径, 可用于He的有效筛分. 在11种气体分子(He, Ne, Ar, H 2, CO, NO, NO 2, N 2, CO 2, SO 2和CH 4)中, He最容易通过CG- n膜, 其能垒分别为4.55, 1.05, 0.53和0.01 eV. 据我们所知, He通过CG-6的能垒是迄今为止报道的最低值, 将可显著地提升He的分离效率. 基于阿伦尼乌斯方程的选择性计算结果表明, CG-5在较宽的温度范围内(0—600 K)都表现出优异的He选择性(相对于其他10种气体), 而CG-6由于冠醚环孔径较大, 仅相对于部分气体分子具有较好的He选择性. 本研究同时分析了膜孔径大小、气体分子动力学直径和气体分子类型对冠醚石墨烷膜的He分离性能影响的协同机制. 因此, 孔径合适的冠醚石墨烷膜(CG-5和CG-6)是一类潜在的选择性高、性能优异的 He分离膜.Helium (He) is widely used in many scientific and industrial fields, and the shortage of He resources and the growing demand make He separation extremely important. In this work, the He separation performances of a series of graphanes containing crown ether nanopores (crown ether graphane, CG- n, n= 3, 4, 5, 6) are studied by first-principles calculations. At first, the minimum energy paths of He and other 10 gas molecules (Ne, Ar, H 2, CO, NO, NO 2, N 2, CO 2, SO 2and CH 4) passing through CG- nmembranes are calculated, and the factors affecting the energy barriers are also investigated. The calculated results show that He is the easiest to pass through all the four CG- nmembranes with energy barriers of 4.55, 1.05, 0.53 and 0.01 eV, respectively. He can be separated by CG-5 and CG-6 with very low energy barriers, and the energy barrier of He passing through CG-6 is the lowest, so far as we know. Moreover, all gas molecules can pass through CG-6 with low energy barriers, including many molecules with large kinetic diameters, such as CO (0.13 eV) and N 2(0.16 eV). Therefore, CG-6 is also expected to be used in the screening field of other gas molecules. In addition, it is found that the energy barriers of gas molecules passing through CG- nare synergistically affected by the size of the crown ether nanopore, the kinetic diameter and the type of the gas molecules. Secondly, the diffusion rates of gas molecules passing through CG-5 and CG-6 and the He selectivity towards other 10 gases of CG-5 and CG-6 at different temperatures are calculated. It is found that CG-5 exhibits extremely high He selectivity in a wide temperature range (0–600 K). In summary, the crown ether graphanes CG-5 and CG-6 can serve as excellent He separation membranes with high He selectivity. This work is expected to inspire one to develop other graphene-based two-dimensional separation membranes for separating He and other gas molecules.
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Keywords:
- crown ether/
- hydrogenated graphene/
- membrane separation/
- density functional theory calculation/
- helium
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CG-3 CG-4 CG-5 CG-6 Ead/eV H/Å Ead/eV H/Å Ead/eV H/Å Ead/eV H/Å He –0.15 2.89 –0.10 2.00 –0.12 2.40 –0.11 2.00 Ne –0.22 3.11 –0.17 2.82 –0.11 2.00 –0.14 2.00 Ar –0.18 4.00 –0.16 4.00 –0.15 4.00 –0.22 2.00 CH4 — — –0.37 2.40 –0.36 2.30 –0.29 1.79 H2 –0.24 2.70 –0.23 2.50 –0.14 2.00 –0.18 2.00 CO2 — — –0.15 3.70 –0.15 3.70 –0.53 0.00 NO — — –0.49 2.90 –0.22 3.10 –0.27 1.80 CO — — –0.25 3.00 –0.23 2.90 –0.22 2.00 N2 –0.33 3.10 –0.24 3.20 –0.22 3.10 –0.24 1.90 NO2 — — –0.40 3.10 –0.11 3.60 –0.29 0.00 SO2 — — — — –0.20 3.60 –0.27 0.00 D/Å Ebarrier/eV CG-3 CG-4 CG-5 CG-6 He 2.60 4.55 1.05 0.53 0.01 Ne 2.82 12.07 2.80 1.44 0.05 Ar 3.54 22.80 8.90 4.86 0.42 CH4 3.80 — 10.81 6.07 0.80 H2 2.89 6.23 1.91 1.00 0.12 CO2 3.30 — 3.45 1.76 0.53 NO 3.17 — 5.12 2.50 0.10 CO 3.69 — 5.48 2.83 0.13 N2 3.64 15.56 5.95 3.15 0.16 NO2 — — 5.42 2.15 0.29 SO2 4.12 — — 3.40 0.27 Type CG-5a CG-6a IGPb CTF-0c C2Nd g-C3N4e g-C2Of PGg S(He/Ne) 1.63×1015 4.66 1×106 4×106 3×103 1×1010 30 2×107 S(He/CH4) 4.03×1092 1.32×1013 7×1031 6×1038 7×1031 1×1065 1.15×1028 8×1037 S(He/Ar) 2.39×1072 5.24×106 6×1021 5×1035 4×1018 1×1051 1.68×1014 6×1036 S(He/N2) 6.24×1043 3.09×102 1×1012 2×1027 3×1012 1×1034 1.54×106 6×1027 S(He/CO) 2.79×1038 80.5 1×1011 5×1024 — 1×1030 6.72×104 6×1024 S(He/CO2) 3.63×1020 4.22×108 3×108 4×1016 8×1018 — 5.82×102 — S(He/H2) 7.18×107 52.7 — — — — — — S(He/NO) 8.51×1032 29.6 — — — — — — S(He/NO2) 1.20×1027 4.11×104 — — — — — — S(He/SO2) 9.42×1047 1.90×104 — — — — — — 注:a本工作,b文献[13],c文献[23],d文献[41],e文献[38],f文献[21],g文献[6]. -
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