Qingdao Institute of Bioenergy and Bioprocess Technology, Chinese Academy of Science,

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Supporting information A rht type Metal-Organic Framework based on Small Cubicuboctahedron Supermolecular Building Blocks and Adsorption Properties Liangjun Li a,b, Sifu Tang a, Xiaoxia Lv a,b, Min Jiang a, Chao Wang a,b, Xuebo Zhao* a a Qingdao Institute of Bioenergy and Bioprocess Technology, Chinese Academy of Science, Shandong, 2661, China. Fax: (+86) 0532-80662728; E-mail: zhaoxb@qibebt.ac.cn b University of Chinese Academy of Sciences, 0049, Beijing, China Contents: S1. Ligand synthesis S2. Photographs S3. Single-crystal X-ray crystallography S4. Infrared spectroscopy S5. Calculation of BET surface area and Langmuir surface area S6. Calculation of isosteric adsorption enthalpy S7. Langmuir equation simulation S8. Comparative study of activation methods

S1. Ligand synthesis The synthetic procedure of the ligand: 2,4,6-trimethylbeneze-1,3,5-tri-isophthalic acid (TMBTI) is illustrated in Fig. S1. Fig. S1 Synthetic route of TMBTI 3,5-dicarboxyethylester-phenylboronic acid was prepared according to the procedure described in the literature 1. The ligand TMBTI was synthesized by Suzuki-coupling reaction of 1,3,5-triboromo-2,4,6-trimethylbenzene and 3,5-dicarboxyethylester-phenylboronic acid. 1,3,5-triboromo-2,4,6-trimethylbenzene (3.569 g, mmol), 3,5-dicarboxy0ethylester-phenylboronic acid (8.778 g, 33 mmol), K 3 PO 4 (21.0 g, 0 mmol) were combined in a 500 ml round bottom flask. Then the mixture was degassed at Schlenk line and recharged with argon. The evacuate-charge procedure was repeated for at least three times to ensure the inert gas atmosphere of the reaction system. After introducing Pd(PPh 3 ) 4 (577.8 mg, 0.5 mmol), and dioxane (300 ml), the mixture of reactants and catalyst was heated to 95 C and stirred for 72 hours under the inert gas atmosphere. When cooling to room temperature, the resulting mixture was evacuated to dryness and extracted with CHCl 3 (50 ml) for three times. Then, the extraction was washed with water, dried with anhydrous Na 2 SO 4 and evacuated

under vacuum. The resulting yellow oil was purified by silica gel column using elute of petroleum / ethyl acetate (3/1, v/v,). The obtained white solid was hydrolyzed with the NaOH (12 g, 300 mmol) in the solution of THF/EtOH/H 2 O (2/2/3, 300 ml). After acidified with concentrated HCl (adjust the ph value of the solution to 2~3), a white precipitate was separated by filtration and dried at 60 C in vacuum. 1 HNMR (d 6 -DMSO, 500MHz): 13.35(b, 6H), 8.48(t, 3H), 8.01(d, 6H), 1.62 (s, 9H). S2. Photographs (a) (b)

(c) (d) Fig. S2 Photographs of as-synthesized NPC-5 and SDU-1. (a) NPC-5 synthesized from method-1 (yield: 74%); (b) NPC-5 synthesized from method-2(yield: 81%); (c) SDU-1 synthesized from method-1(yield: 63%); (d) SDU-1 synthesized from method-2(yield: 67%).

S3. Single-crystal X-ray crystallography Fig. S3 Asymmetric unit of NPC-5 (Thermal ellipsoid: 40 %) Fig.S4 Packing mode presentation of NPC-5 viewing from a / b / c direction

Table S1 Crystal data and structure refinement for SDU-1 and NPC-5 Identification code SDU-1 NPC-5 Method-1 Method-2 Method-1 Method-2 Empirical formula C 66 H 36 O 32 Zn 7 C 66 H 36 O 32 Co 7 Formula weight 1798.84 1753.51 Crystal system Cubic Cubic Cubic Cubic Space group Fm-3m Fm-3m Unit cell a/ Å 38.623(5) 38.651 38.757(2) 38.725 parameters b/ Å 38.623(5) 38.651 38.757(2) 38.725 c/ Å 38.623(5) 38.651 38.757(2) 38.725 α/ 90 90 90 90 β/ 90 90 90 90 γ/ 90 90 90 90 V/ Å 3 57614(12) 57740 58216(6) 58073 Z 16 16 Calculated density, g/cm 3 0.829 0.822 F(000) 14368 14032 Reflections collected /unique 21913/15 33542/2656 Goodness-of-fit on F 2 1.037 1.057 Final R indices [I>2sigma(I)] R indices (all data) Largest diff. Peak and hole, e Å 3 R1=0.0726, wr2=0.1662 R1=0.1736, wr2=0.1935 0.321 and -0.243 R1=0.0862 wr2=0.2838 R1=0.1396 wr2=0.3126 0.658 and -0.598 *Unit cell parameters of SDU-1 2 : cubic, Fm-3m, a = 38.59(8) Å, α = 90 Å 3, V=57472(2),

S4. Infrared spectroscopy (a) (b) Fig. S5 Infrared spectroscopy of (a) NPC-5 and (b) SDU-1

S5. Calculation of BET surface area and Langmuir surface area 1. Calculation of BET surface area. The BET surface area of NPC-5 and SDU-1 was calculated by using Brunauer-Emmett-Teller equation from N 2 adsorption isotherm at 77 K (as shown in equation 1). P 1 C 1 P = + V ( P0 P) CVm CVm P0 (1) Using the N 2 isotherm of NPC-5 and SDU-1 at 77 K, the term P/V(P 0 -P) was plotted and linear fitted with P/P 0 in the pressure range of 0.001 < P/P 0 < 0.15, as shown in Fig. S6. (a)

(b) Fig. S6 (a) BET plot of NPC-5 for N 2 adsorption at 77 K in the linear region (0.001<P/P 0 <0.15). (b) BET plot of SDU-1 for N 2 adsorption at 77 K in the linear region (0.001<P/P 0 <0.15) According to the Brunauer-Emmett-Teller equation, the terms (C-1) / CV m and 1 / CV m are equal to the slope and the intercept of the fitted line, respectively. For NPC-5: C 1 = 0.08537 CV 1 m CV m = 1.72986 4 So, we can obtained the value of C and V m for NPC-5 as following: C = 494.508 V m =11.6900 mmol g -1 The BET surface area is calculated by the equation (2). SBET = Vm A σ m (2) Where A is the Avogadro constant (6.023 23 mol -1 ), molecular (1.62-19 m 2 ). So the BET surface area of NPC-5 is 1140 m 2 g -1. σ m is sectional area of one nitrogen Using the same procedure as NPC-5, we can obtained the value of C and V m for SDU-1 as following: C = 494.508

V m =11.6900 mmol g -1 And the BET surface area of SDU-1 is 779 m 2 g -1. 2. Calculation of Langmuir surface area. The N 2 isotherms of NPC-5 and SDU-1 at 77 K were fitted by using Langmuir equation (as shown in equation (3). As shown in Fig. S7, the term P/n shows perfect linear relationship with the term P. P P 1 = + (3) n n bn m m (a)

Fig. S7 The variation of P/n with P for N 2 adsorption at 77 K on (a) NPC-5. (b) SDU-1 (b) For NPC-5, the slope of the fitted line is 0.0458, which is equal to 1/n m in the Langmuir equation. So, we obtained the n m as the following. n m = 14.30 mmol g -1 The Langmuir surface area is calculated by the equation (4). Sg = nm A σ m (4) Where A is the Avogadro constant (6.023 23 mol -1 ) and σ m is sectional area of one nitrogen molecular (1.62-19 m 2 ). So the calculated Langmuir surface area of NPC-5 is 1395 m 2 g -1. In the same way, the Langmuir surface area of SDU-1 is calculated to be 989 m 2 g -1. S6. Calculation of isosteric adsorption enthalpy Method 1: The gas adsorption data of NPC-5 and SDU-1 can be analyzed using Virial methods 3 based on the following equation. ln( n/ P) = A + A n+ A n + A n + (5) 2 3 0 1 2 3 Where P is the pressure, n is the amount absorbed and A 0, A 1, A 2, A 3 are Virial coefficients.

The original Virial equation can also be transformed into another form as shown in equation (6) 3. ln( n) = ln( P) + A + A n+ A n + A n + (6) 2 3 0 1 2 3 Isosteric adsorption enthalpy: The adsorption isotherms of CO 2 at two different temperatures on NPC-5 and SDU-1 were fitted using Virial equation in the pressure range of 0~20 bar (as shown in Fig. S8 and Fig. S9). Then the adsorption enthalpy was calculated by Van t Hoff isochore, and the Q st of CO 2 at different uptakes were plotted in Fig. 6a. After then, the isosteric adsorption enthalpy of CH 4 on both MOFs were calculated by the same procedure as CO 2 and plotted in Fig 6a. 9 lnp lnp fitted by Virial method 8 lnp (ln(mbar)) 7 6 5 4 3 2 Data: CO 2 isotherm at 273 K on NPC-5 Model: ln(p)=ln(n)+a0+a1*n+a2*n^2+a3*n^3 Weighting: y No weighting Chi^2/DoF = 0.00229 R^2 = 0.99956 A0 4.80729 ±0.02354 A1 0.0121 ±0.01979 A2 0.01787 ±0.00396 A3-0.00003 ±0.00022 0 2 4 6 8 12 14 n (mmol g -1 ) (a)

11 lnp lnp fitted by Virial method 9 lnp (ln(mbar)) 8 7 6 5 4 3 2 Data: CO 2 isotherm at 293 K on NPC-5 Model: ln(p)=ln(n)+a0+a1*n+a2*n^2+a3*n^3 Weighting: y No weighting Chi^2/DoF = 0.004 R^2 = 0.99976 A0 5.53407 ±0.01863 A1 0.05045 ±0.01638 A2 0.096 ±0.00348 A3 0.00016 ±0.00021 0 2 4 6 8 12 n (mmmol g -1 ) (b) Fig. S8 CO 2 isotherms for NPC-5 fitted using Virial method (a) 273 K and (b) 293 K 11 lnp lnp fitted by Virial method 9 lnp (ln(mbar)) 8 7 6 5 4 3 2 Data: CO 2 isotherm at 273 K on SDU-1 Model: ln(p)=ln(n)+a0+a1*n+a2*n^2+a3*n^3 Weighting: y No weighting Chi^2/DoF = 0.00476 R^2 = 0.99911 A0 4.34554 ±0.04184 A1 0.07599 ±0.04251 A2 0.05869 ±0.091 A3-0.00277 ±0.00078 0 2 4 6 8 n (mmol g -1 ) (a)

9 lnp lnp fitted by Virial method 8 lnp (ln(mbar)) 7 6 5 4 3 2 Data: CO 2 isotherm at 303 K on SDU-1 Model: ln(p)=ln(n)+a0+a1*n+a2*n^2+a3*n^3 Weighting: y No weighting Chi^2/DoF = 0.00159 R^2 = 0.99967 A0 5.39318 ±0.02126 A1 0.26837 ±0.02695 A2 0.00362 ±0.00837 A3 0.0007 ±0.00072 0 1 2 3 4 5 6 7 8 n (mmol g -1 ) (b) Fig. S9 CO 2 isotherms for SDU-1 fitted using Virial method (a) 273 K and (b) 303 K CH 4 isotherm at 273 K on NPC-5 Fitted isotherm by virial methods 9 lnp (ln(mbar)) 8 7 6 5 4 Data: CH 4 isotherm at 273 K on NPC-5 Model: ln(p)=ln(n)+a0+a1*n+a2*n^2+a3*n^3 Weighting: y No weighting Chi^2/DoF = 0.00003 R^2 = 0.99999 A0 6.45181 ±0.00318 A1 0.08634 ±0.00447 A2 0.01482 ±0.0014 A3 0.0001 ±0.00012 0 1 2 3 4 5 6 7 8 n (mmol g -1 ) (a)

.0 CH 4 isotherm at 293 K on NPC-5 Fitted isotherm by virial methods 9.5 9.0 lnp (ln(mbar)) 8.5 8.0 7.5 7.0 6.5 6.0 Data: CH 4 isotherm at 293 K on NPC-5 Model: ln(p)=ln(n)+a0+a1*n+a2*n^2+a3*n^3 Weighting: y No weighting Chi^2/DoF = 9.9685E-6 R^2 = 0.99999 A0 6.93673 ±0.00287 A1 0.763 ±0.00429 A2 0.088 ±0.00148 A3 0.00002 ±0.00014 0 1 2 3 4 5 6 7 n (mmol g -1 ) (b) Fig. S CH 4 isotherms for NPC-5 fitted using Virial method (a) 273 K and (b) 293 K CH 4 isotherm at 273 K on SDU-1 Fitted isotherm by virial methods 9 lnp (ln(mbar)) 8 7 6 5 4 Data: CH 4 isotherm at 273 K on SDU-1 Model: ln(p)=ln(n)+a0+a1*n+a2*n^2+a3*n^3 Weighting: y No weighting Chi^2/DoF = 0.00004 R^2 = 0.99999 A0 6.37089 ±0.00456 A1 0.21318 ±0.00822 A2 0.02537 ±0.00355 A3 0.00148 ±0.00043 0 1 2 3 4 5 n (mmol g -1 ) (a)

CH 4 isotherm at 273 K on SDU-1 Fitted isotherm by virial methods 9 lnp (ln(mbar)) 8 7 6 5 Data: CH 4 isotherm at 293 K on SDU-1 Model: ln(p)=ln(n)+a0+a1*n+a2*n^2+a3*n^3 Weighting: y No weighting Chi^2/DoF = 0.00001 R^2 = 1 A0 6.90066 ±0.00257 A1 0.24347 ±0.00571 A2 0.01454 ±0.00286 A3 0.00179 ±0.0004 0 1 2 3 4 5 n (mmol g -1 ) (b) Fig. S11 CH 4 isotherms for SDU-1 fitted using Virial method (a) 273 K and (b) 293 K Q st (kj mol -1 ) 40 35 30 25 20 15 5 Q st of CO 2 on NPC-5 Q st of CO 2 on SDU-1 Q st of CH 4 on NPC-5 Q st of CH 4 on SDU-1 0 0 2 4 6 8 12 n (mmol g -1 ) Fig. S12 Isosteric adsorption enthalpies of CO 2 and CH 4 on NPC-5 (red) and SDU-1(blue) derived from Virial analysis Method 2: The Q st were calculated by the Clausius-Clapeyron equation: Qst d(ln P) = R d(1 / T) (7)

lnp and 1/T were derived from isotherms at different temperatures. The relationship between lnp and 1/T were linear fitted. As shown in Figure S12 and S13, the term lnp exhibits perfect linear relationship with the term 1/T, indicating the good reliability of the adsorption data. The slope of lnp versus 1/T were derived from the fitted line, and Q st was calculated from the above equation. (a)

(b) Figure S13 (a) Linear fitting of lnp versus 1/T for CO 2 adsorption on NPC-5 (n: 0.5~5.0 mmol g -1 ); (b) Linear fitting of lnp versus 1/T for CO 2 adsorption on NPC-5 (n: 5.5~.5 mmol g -1 ) Figure S14 Linear fitting of lnp versus 1/T for CH 4 adsorption on NPC-5

S7. Langmuir equation simulation The isotherm of CH 4 on NPC-5 at 293 K was modeled using the Langmuir equation: P P 1 = + n nm bn m (8) Where P is the pressure (mbar), n is adsorbed amount (mmol g -1 ), n m and b are constants. 3500 3000 P/n Linear fit of P/n vs P P/n (mbar g mmol -1 ) 2500 2000 1500 00 500 Equation y = a + b*x Adj. R-Squar 0.99916 Value Standard Erro P/n Intercept 47.2744 6.33526 P/n Slope 0.775 6.13739E-4 0 5000 000 15000 20000 P (mbar) Fig. S15 Langmuir graph for CH 4 adsorption on NPC-5 at 293 K As shown in Fig. S12, the term P/n exhibits a good linear relationship with the term P. When P/n is linearly fitted with n, the obtained fitted equation is: P 0.775P 47.274 n = + From the fitted equation, the relationship between n and P can be established and plotted in Fig. 6b. S8. Comparative study of activation methods In order to explore the right activation temperature, low-temperature activation (heating at 60 under ultrahigh vacuum) and high-temperature activation (heating at 130 under ultrahigh vacuum) on the CH 2 Cl 2 exchanged sample of SDU-1 were performed, respectively. After then, CO 2 isotherms under the same conditions were conducted on two batches of samples to evaluate the porosity. The weight loss diagram of NPC-5 in the activation process before gas sorption

measurements is shown in Figure S16. The CO 2 isotherms of the NPC-5 and SDU-1 activated at different temperatures are shown in Figure S17(a) and Figure S17(b), respectively. The comparison of PXRD patterns of SDU-1 activated at two temperatures is demonstrated in Figure S18. Figure S16 Weight loss diagram of NPC-5 during activation process 14 12 NPC-5: activated at 60 C NPC-5: activated at 130 C CO 2 uptake (wt %) 8 6 4 2 0 0 200 400 600 800 00 P (mbar) (a)

14 12 SDU-1: activated at 60 o C SDU-1: activated at 130 o C CO 2 uptake (wt %) 8 6 4 2 0 0 200 400 600 800 00 P (mbar) (b) Figure S17 Comparison of CO 2 isotherms at 293 K on samples activated at 60 and 130. (a) NPC-5; (b) SDU-1 Figure S18 Comparison of PXRD patterns for SDU-1 activated at 60 and 130 Furthermore, in order to fully explore the pore space of this class of MOFs, we also have tried other activation methods. The as-synthesized SDU-1 was firstly exchanged with acetone for one month, during which the acetone was refreshed twice a day. Whereas, the color of SDU-1 turned

to yellow, and the CO 2 sorption result of the sample was not as good as that exchanged with CH 2 Cl 2. In 2012.8, Zhang et al report a novel activation method 4 (which was termed as freeze-cyclohexane drying in the report) for the activation of a Zn-MOF. Comparative study of the activation methods showed that this method was proper to activate the MOF. In this paper, we also have tried freeze-cyclohexane drying method on SDU-1. The comparative results are listed as follow. 14 12 SDU-1: CH 2 Cl 2 exchanged SDU-1: Acetone exchanged SDU-1: Freeze-cyclohexane drying CO 2 uptkae (wt %) 8 6 4 2 0 0 200 400 600 800 00 P (mbar) Figure S19 Comparison of CO 2 isotherms at 293 K on SDU-1 activated by different methods References: 1 X. Lin, I. Telepeni, A. J. Blake, A. Dailly, C. M. Brown, J. M. Simmons, M. Zoppi, G. S. Walker, K. M. Thomas, T. J. Mays, P. Hubberstey, N. R. Champness and M. Schröder, J. Am. Chem. Soc., 2009, 131, 2159-2171. 2 X. Zhao, X. Wang, S. Wang, J. Dou, P. Cui, Z. Chen, D. Sun, X. Wang and D. Sun, Cryst. Growth Des., 2012, 12, 3736-2739. 3 B. Chen, X. Zhao, A. Putkham, K. Hong, E. B. Lobkovsky, E. J. Hurtado, A. J. Fletcher and K. M. Thomas, J. Am. Chem. Soc., 2008, 130, 6411-6423. 4 Y.-P. He, Y.-X. Tan and J. Zhang, Inorg. Chem., 2012, 51, 11232-11234.