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Supporting Information Mixed matrix membranes based on metal-organic frameworks with tunable pore size for CO 2 separation Lili Fan, Zixi Kang,* Yuting Shen, Sasa Wang, Haoru Zhao, Hanyi Sun, Xueting Hu, Haixiang Sun, Rongming,Wang and Daofeng Sun*

Figure S1 The structural formula of the polymer Pebax used in this work.

Figure S2 Optical image of the pure polymer Pebax membrane.

Figure S3 Top view and cross-section SEM images of (a) (b) Ni 2 (L-asp) 2 bipy@pebax-10, (c) (d) Ni 2 (L-asp) 2 bipy@pebax-20 and (e) (f) Ni 2 (L-asp) 2 bipy@pebax-30.

Figure S4 Top view and cross-section SEM images of (a) (b) Ni 2 (L-asp) 2 pz@pebax-10, (c) (d) Ni 2 (L-asp) 2 pz@pebax-20 and (e) (f) Ni 2 (L-asp) 2 pz@pebax-30.

Figure S5 3D structure of Ni 2 (L-asp) 2 bipy (Ni cyan, C gray, N blue and O red;) viewed along (a) [0 1 0] and (b) [1 1 0].

Figure S6 The binary gas mixture (CO 2 /H 2, CO 2 /N 2 and CO 2 /CH 4 ) permeability and corresponding selectivity of Ni 2 (L-asp) 2 bipy@pebax-20 membrane.

Table S1 Pure component CO 2, H 2, N 2 and CH 4 permeation properties of Ni 2 (L-asp) 2 bipy@pebax membranes measured at 1 atm pressure and 25 C. Membrane Permeability (Barrer) Selectivity CO 2 H 2 N 2 CH 4 CO 2 /H 2 CO 2 /N 2 CO 2 /CH 4 Pebax 55.85 32.11 1.39 1.56 1.729 40.18 35.81 Ni 2 (L-asp) 2 bipy@pebax-10 107.5 5.427 4.571 5.004 19.81 23.52 21.48 Ni 2 (L-asp) 2 bipy@pebax-20 120.2 3.656 3.052 3.243 32.88 39.38 37.06 Ni 2 (L-asp) 2 bipy@pebax-30 82.31 2.72 1.571 2.353 30.26 52.39 34.98

Table S2 Pure component H 2 CO 2 N 2 and CH 4 permeation properties of Ni 2 (L-asp) 2 pz@pebax membranes measured at 1 atm pressure and 25 C. Membrane Permeability (Barrer) Selectivity CO 2 H 2 N 2 CH 4 CO 2 /H 2 CO 2 /N 2 CO 2 /CH 4 Pebax 55.85 32.11 1.39 1.56 1.729 40.18 35.81 Ni 2 (L-asp) 2 pz@pebax-10 46.10 4.603 2.487 3.820 10.01 18.54 12.07 Ni 2 (L-asp) 2 pz@pebax-20 89.66 2.896 3.105 3.875 30.96 28.88 23.14 Ni 2 (L-asp) 2 pz@pebax-30 80.83 2.478 2.662 3.431 32.62 30.36 23.56

Table S3 Binary gas mixture (CO 2 /H 2, CO 2 /N 2 and CO 2 /CH 4 ) permeation properties of Ni 2 (L-asp) 2 bipy@pebax-20 membrane measured at 1 atm pressure and 25 C. Permeability (Barrer) Selectivity Membrane CO 2 /H 2 CO 2 /N 2 CO 2 /CH 4 CO 2 /H 2 CO 2 /N 2 CO 2 /CH 4 CO 2 H 2 CO 2 N 2 CO 2 CH 4 Ni 2 (L-asp) 2 bipy@pebax-20 91.7 3.27 113.6 3.23 101.0 3.03 28.04 35.17 33.33

Table S4 Comparison of gas separation performance of this work with those of reported MOF based MMMs. me mbra ne Te mp Pressure Loa ding CO 2 CO 2 /H 2 CO 2 /N 2 CO 2 /CH 4 reference (bar) permea bility Pebax-1657/4A Zeo lite 25 24.5 10% 97-54 26.5 [1] Pebax-1657/4A Zeo lite 25 24.5 30% 155.8-12.9 7.9 [1] Pebax-1657/GTA 25 4 80% 1200 29 51 9 [2] IL-Pebax-1657/ZIF-8 30 2 8% 261 10 71 36 [3] Pebax/PDA/ZIF-8-15 (dry) 25 1 15% 220.06-56.14 - [4] Pebax/P DA/ZIF-8-15 25 1 15% 267.74-62.65 - [4] (humid ified) MWCNTs/Pebax 30 10 5% 265.15 6.4 58.5 - [5] MWCNTs/Crosslingked Pebax 30 10 5% 17.47 2.4 84.5 - [5] [bmim][t f2n]/zif-8/pebax 25 1 15% 104.9 10 83.9 34.7 [6] 1657 UiO-66-PEBA (humid ) 25 3 10% 139.7-61.1 - [7] UiO-66-PEBA-NH2 (humid) 25 3 10% 130.2-72.2 - [7] ZIF-7/Peb ax-1657 25 3.75 22% 111-97 30 [8] Pebax-1657/PEG50 30 0.6 50% 151 10.8 47 15.5 [9] Pebax-1657/P EG-DME 30 0.3 50% 606 15.1 43 - [10] Pebax/CuBTC/P EG-ran-PPG 30 15 32.76% 1163.8 - - 32.7 [11] (PEG-ran-PPG ) /20% (CuBTC) (Pebax1657)/S APO-34 35 7 50% 338 9 54 18 [12] Pebax 25 1-50.5 6.38 79.5 16.7 This work Ni 2 (L-asp) 2 bipy@peb ax-20 25 1 20% 120.2 32.88 39.38 37.06 This work

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