# Selective sulfur dioxide adsorption on crystal defect sites on an isoreticular metal organic framework series

## Abstract

The widespread emissions of toxic gases from fossil fuel combustion represent major welfare risks. Here we report the improvement of the selective sulfur dioxide capture from flue gas emissions of isoreticular nickel pyrazolate metal organic frameworks through the sequential introduction of missing-linker defects and extra-framework barium cations. The results and feasibility of the defect pore engineering carried out are quantified through a combination of dynamic adsorption experiments, X-ray diffraction, electron microscopy and density functional theory calculations. The increased sulfur dioxide adsorption capacities and energies as well as the sulfur dioxide/carbon dioxide partition coefficients values of defective materials compared to original non-defective ones are related to the missing linkers enhanced pore accessibility and to the specificity of sulfur dioxide interactions with crystal defect sites. The selective sulfur dioxide adsorption on defects indicates the potential of fine-tuning the functional properties of metal organic frameworks through the deliberate creation of defects.

## Introduction

Developing efficient technologies for capturing CO2, NOx and SOx gases from static and mobile sources represents a major challenge for creating a cleaner and healthier environment1,2. The removal of these acidic gases from power plant flue gas emissions leads to the extensive use of alkaline aqueous solutions. Solid adsorbent materials are sought after to prevent problems associated with leaks of resultant toxic and corrosive solutions. Though zeolites have been used for this purpose, their relatively small pores limit their suitability for NOx and SOx abatement3,4. In this respect, the high structural and functional flexibility of metal organic frameworks (MOFs) makes them attractive for reducing greenhouse and toxic gas exhausts5,6,7,8,9. For environmental applications, stable materials that can maintain their functional properties under harsh conditions are especially desired. In MOF design, the strength of the metal–ligand bond plays a fundamental role in stability. The appropriate combination of metal-donor atoms to enhance hard–hard (that is, Zr(IV)-O) or soft–soft (that is, Ni(II)-N) acid–base interactions should result in more resilient porous materials10,11,12,13. Besides stability, improving material functionality is key to obtaining useful MOFs for environmental applications. In this regard, one emerging strategy to improve the functional properties of MOFs14,15,16 is the deliberate introduction of defects. For example, the defects in [Zr6O4(OH)4(bdc)6] UiO-66 frameworks allow the incorporation of active acid and basic sites ultimately leading to enhanced capture17,18 and catalytic degradation of toxic gases19.

We have recently shown that the postsynthetic treatment of the [Ni8(OH)4(H2O)2(BDP_X)6] (H2BDP_X=1,4-bis(pyrazol-4-yl)benzene-4-X with X=H (1), OH (2), NH2 (3)) systems with ethanolic solutions of potassium hydroxide leads to the formation of defective K[Ni8(OH)3(EtO)3(BDP_X)5.5] (1@KOH, 3@KOH) and K3[Ni8(OH)3(EtO)(BDP_O)5] (2@KOH). The latter materials exhibit improved carbon dioxide capture20 and ion conductive21 properties related to missing-linker enhanced accessibility of the porous network, higher basicity of the metal clusters and the presence of extra-framework cations.

In the present work, we target the selective adsorption of sulfur dioxide, from power plant exhaust gases. With this aim, we introduce extra-framework Ba2+ ions into the porous structure of the defective nickel pyrazolate systems, by means of an ion exchange process. The strategy is completed with the assistance of ligand functionalization (Fig. 1). To rationalize the performance of the materials on sulfur dioxide capture, we carry out a joint experimental and theoretical study.

## Results

### Introduction of extra-framework barium ions on defective MOFs

The presence of extra-framework cations in the K[Ni8(OH)3(EtO)3(BDP_X)5.5] (1@KOH; 3@KOH) and K3[Ni8(OH)3(EtO)(BDP_O)5] (2@KOH) systems opens the way to ion exchange processes. Exposing 1@KOH3@KOH materials to aqueous Ba(NO3)2 solutions incorporates barium into the solids, yielding the defective ion exchanged Ba0.5[Ni8(OH)3(EtO)3(BDP_X)5.5] (1@Ba(OH)2, X=H; 3@Ba(OH)2, X=NH2), and Ba1.5[Ni8(OH)3(EtO)(BDP_O)5] (2@Ba(OH)2) systems (Figs 1 and 2). Inductively coupled plasma (ICP), high resolution transmission electron microscopy (HRTEM) and energy-dispersive X-ray (EDX) analyses confirmed the complete exchange of potassium by barium (Fig. 2d, Supplementary Figs 1–6). Moreover, compared with defective 13@KOH MOFs, the porosity of the barium exchanged materials is maintained with a slight decrease in porous network accessibility (Fig. 2c).

Characterization by X-ray powder diffraction (XRPD) shows that the nickel pyrazolate frameworks retain their crystallinity despite of the concomitant changes from a neutral to an anionic framework that result from the missing linker defects and the entrance of potassium extra-framework cations and its subsequent exchange by barium cations (Fig. 2b). Le Bail profile fittings of XRPD patterns of defective MOFs (Supplementary Fig. 7, Supplementary Tables 1,2 and Supplementary Methods) confirm that cell volume variations upon postsynthetic modifications (PSMs) of 13 systems are below 1% and that the overall cubic symmetry is preserved. Two partial conclusions emerge from the analysis, first the high stability of the nickel pyrazolate-based MOFs is demonstrated and second it is shown that the missing linkers are likely to be randomly distributed along the 3D framework. Moreover, XRPD and HRTEM-EDX experiments show that Ba(OH)2 co-crystallizes with the defective MOFs after barium ion exchange process. Aggregates with an approximate 1:1 molar ratio of Ba0.5[Ni8(OH)3(EtO)3(BDP_X)5.5] and Ba(OH)2 nano/microcrystals form. The formation of aggregates arises from the high hydroxide content of the metal clusters which increases the basicity of the external surface of the MOF particles. This basicity facilitates the crystal growth of Ba(OH)2 on MOF grain boundaries (Supplementary Figs 1,5 and 6).

To gain some insight into the structural effects caused by both the introduction of defects and the subsequent ion exchange process, we have carried out periodic density functional theory (DFT) calculations22. Thus far, molecular modelling of defective MOF materials has received minor attention, as a consequence of the expensive DFT calculations required for accurate studies23,24,25,26. Therefore, we have carefully selected a range of defect environments that would be wide enough to yield reliable models of the defective MOF frameworks, which could help to interpret the experimental data (Supplementary Note 1 and Supplementary Methods), while at the same time being computationally affordable. The structure of pristine system 1 was used as a starting point for the geometrical optimization of the defective frameworks of 1@KOH and 1@Ba(OH)2 materials. The symmetry constraints imposed by the space group (Fm-3m) of the crystallographic reported structure12 were removed, to model the local crystal defect sites in 1@KOH and 1@Ba(OH)2 systems. The calculations show that after PSMs some distortions are noticed, namely, ±0.25 Å deviations in the intracluster Ni–Ni distances (Fig. 2a, Supplementary Table 6). This is not surprising, as a previous spectroscopy study showed that lowering of the local symmetry of the octanuclear nickel hydroxide cluster takes place upon dehydration27. Moreover, DFT results place the extra-framework cations close to crystal defect sites. The cations establish short contacts with terminal hydroxide group welded by the cluster on the missing linker site (Fig. 2a). In sum, although the introduction of missing linker defects and extra-framework cations are responsible for the observed distortions, the average 3D structure of the MOF framework is preserved.

### Sulfur dioxide adsorption

Dynamic adsorption experiments reveal the impact of the deliberate introduction of defects and subsequent K+ to Ba2+ ion exchange process on the SO2 capture. We used breakthrough curve measurements of simulated flue gas to determine the SO2 adsorption capacity and selectivity of the materials under study. In addition, we carried out variable temperature pulse gas chromatography to determine the thermodynamic parameters governing the physisorption of SO2.

The affinity of the studied systems for SO2 adsorption can be justified on the basis of the increased basicity of the nickel hydroxide clusters after the introduction of defects. Lewis acid–base interactions with SO2 molecules1,30,31 lead to the formation of HSO3 and SO32− species according to equation 1:

Moreover, the presence of extra-framework cations located close to defects sites is likely to promote the formation of more stable species of the MSO3 (M=Ba, 2 K) type according to equation 2:

These proposed chemisorption mechanisms are supported by the DFT simulations of the interaction of SO2 with the solids (see below). From an experimental point of view, in addition to the above breakthrough curves, the presence of chemical adsorption is confirmed by a number of techniques (Methods and Supplementary Figs 10–13). Elemental analyses show the occurrence of the SO2 chemisorption process in the MOF@Ba(OH)2 materials showing 0.2–0.5:1 S:metal cluster content ratio (Supplementary Methods). In addition, a detailed inspection of FTIR spectra of MOF@Ba(OH)2 after SO2 adsorption reveals two weak absorption bands at 1,148 and 1,385 cm−1, which correspond to symmetric and asymmetric stretching bands (γsym, γassym) of SO32− groups (Supplementary Fig. 10). FTIR analysis of evolved gases during thermogravimetric analysis experiments under an inert atmosphere indicates SO2 evolution in the 511–594 K temperature range, ca. 80 K before materials pyrolysis (Supplementary Fig. 11). To further confirm the presence of SO32− species in the MOF@Ba(OH)2 materials, we exposed them to a humid air flow, which oxidized the SO32− groups to SO42− groups, as evidenced by a new FTIR vibration band at 1,100 cm−1 (Supplementary Fig. 10). XRPD analysis (Supplementary Fig. 12) and nitrogen adsorption (Supplementary Fig. 13 and Supplementary Table 5) experiments of the materials after breakthrough measurements and subsequent activation at 423 K indicate that the MOFs retain their characteristic porosity and crystallinity. Noteworthy, the study of the materials after breakthrough tests also points to a clear difference between the reactivity of extra-framework barium cations in the MOF structure and the barium cations in co-crystallized barium hydroxide particles. HRTEM-EDX mapping analyses of the samples after breakthrough tests shows that the S content is only found related to Ba/Ni homogeneous distribution in MOF particles (Fig. 5e). By contrast, the mapping analysis of Ba(OH)2 nano/microparticles do not show any S content. Moreover, the XRPD pattern of this sample did not show any changes in the intensity/position of the Ba(OH)2 reflections, before, during and after SO2 adsorption (Supplementary Fig. 12), which further evidences that SO2 capture occurs solely in the MOF particles.

As the performance of the materials in separating complex flue gas mixtures is relevant from the applications point of view, the 1@Ba(OH)2 selectivity for SO2 capture was evaluated by using breakthrough experiments (Supplementary Fig. 9). Typical gas mixtures compositions were used, namely, 20 ml min−1 flow of N2/CO2/SO2 (83.5:14:2.5) and N2/H2O/SO2 (94.1:3.4:2.5). The presence of CO2 and/or moisture does not significantly affect SO2 adsorption in 1@Ba(OH)2. Before discussing the quantitative details of the adsorption processes in these mixtures, it is important to highlight that only physisorption is observed for both CO2 and H2O molecules in 1@Ba(OH)2, in contrast to SO2 which shows both chemical and physical adsorption (Supplementary Fig. 9). The presence of 15% of CO2 versus 2.5% of SO2 in the gas mixture is responsible for a diminution (30%) in the adsorption capacity of SO2 compared with the previous experiments without CO2 (Fig. 3). This result is in agreement with the high $${\rm \alpha }_{{\rm SO}_{\rm 2} {\rm /CO}_{\rm 2} }$$ partition coefficient values of PSMs MOFs (see below). Similarly, 1@Ba(OH)2 is still able to adsorb significant amounts of SO2 under 80% relative humidity (0.034 bar), as 60% of the adsorption capacity is retained as compared with dry conditions. Shielding of the extra-framework Ba2+ cations and SO2 interactions caused by competitive hydration of the Ba2+ cations can explain the observed decrease (see DFT discussion below). Overall, it is observed that the amounts of SO2 captured in gas mixtures of practical interest are high.

Our experiments have shown that reversible SO2 adsorption working capacities are in the 1.8–3.7 mmol g−1 range. Since these values represent the larger fraction of captured SO2 in our materials, it is important to have a better understanding of the role of pre- and PSMs on the strength of SO2 interactions with the MOFs pore surface. To do that, we performed gas chromatography experiments using activated MOFs as chromatographic beds. The experiments were conducted in the 303–423 K temperature range, and a pulse of an equimolecular mixture of H2, N2, CO2 and SO2 gases was employed. These experiments were carried out on the materials after the irreversible SO2 chemisorption process (breakthrough curve experiments), to ensure thermodynamic equilibrium (reversibility) for CO2 and SO2 adsorption. The chromatograms were processed using van’t Hoff analysis to calculate the thermodynamic parameters for CO2 and SO2 adsorption processes (Fig. 4, Table 1, Supplementary Table 4 and Supplementary Methods). The observed retention times follow the trend H2N2<CO2<<SO2, which suggests a strong interaction of the SO2 molecules with the pore structure, followed by significant interaction with CO2 and negligible interactions with N2 and H2 molecules. The isosteric heat of adsorption and Gibbs free energy values for SO2 typically increase by circa 10–14 kJ mol−1 and 2–4 kJ mol−1, respectively, in the defective solids, suggesting the presence of strong interactions between adsorbed SO2 molecules and the PSM porous frameworks along the 13, 1@KOH3@KOH, 1@Ba(OH)23@Ba(OH)2 series (Fig. 4, Table 1). A similar behaviour is observed for CO2, for which the enthalpy values increase by 7–19 kJ mol−1 along the 13@Ba(OH)2 series (Supplementary Table 4). The selective interaction of SO2 with the PSM frameworks is also illustrated by a four-fold enhancement of $${\rm \alpha }_{{\rm SO}_{\rm 2} {\rm /CO}_{\rm 2} }$$ partition coefficients on passing from 1 to 3@Ba(OH)2 systems (Fig. 4). Indeed, these high $${\rm \alpha }_{{\rm SO}_{\rm 2} {\rm /CO}_{\rm 2} }$$ partition coefficient values of the PSM materials can be related to the increasing differences in the isosteric heat of adsorption values between SO2 and CO2 $${\rm |}\Delta {\rm H}_{{\rm SO}_2 } - \Delta {\rm H}_{{\rm CO}_2 } |$$, 13.8 kJ mol−1 for 1 versus 18.8 kJ mol−1 for 3@Ba(OH)2 (Fig. 4). This positive effect correlates with the incorporation of extra-framework Ba2+ ions, and the enhanced basicity related to the presence of additional hydroxide ligands substituting the linker vacancies in the metal clusters. Consequently, defects and ion exchange processes enhance SO2 interactions with MOF pores. The introduction of –NH2 and –OH functionalities in the linkers also has a non-negligible impact on SO2 interactions, as manifested by increased enthalpy values for the 2@Ba(OH)2 and 3@Ba(OH)2 systems compared to 1@Ba(OH)2 (that is, $${\rm |}\Delta {\rm H}_{{\rm SO}_2 }$$(3@Ba(OH)2)-$$\Delta {\rm H}_{{\rm SO}_2 }$$(1@Ba(OH)2)|=5 kJ mol−1). These observations agree with the favourable -NH2···SO2 and OH···SO2 interactions found in NOTT-202a system7. Although the introduction of polar functionalization results in high $${\rm \alpha }_{{\rm SO}_{\rm 2} {\rm /CO}_{\rm 2} }$$ partition coefficients, the selectivity for SO2 over CO2 is slightly diminished, particularly for 2@Ba(OH)2, because of the strong interactions of CO2 molecules with 2@KOH system20, as manifested by lower $${\rm \alpha }_{{\rm SO}_{\rm 2} {\rm /CO}_{\rm 2} }$$ for 2@Ba(OH)2 and 3@Ba(OH)2 materials compared with 1@Ba(OH)2 (Fig. 4, Table 1, Supplementary Table 4). A related effect has previously been observed in the C2H2/CO2 separation from C2H2/CO2/N2 mixtures by [M(BDP_X)] systems (M=Ni, Zn; X=NO2, NH2, OH, SO3H)32. Still, the SO2 adsorption enthalpy and $${\rm \alpha }_{{\rm SO}_{\rm 2} {\rm /CO}_{\rm 2} }$$ values for 1@Ba(OH)23@Ba(OH)2 materials are, respectively, 20 kJ mol−1 and 1 order of magnitude higher than those found for MTM/NOTT-300 (refs 6, 28) materials exhibiting record SO2 adsorption capacities. Thus, while the irreversible SO2 chemisorption on the 1@Ba(OH)23@Ba(OH)2 systems give rise to slightly lower working capacities than MTM/NOTT-300 (ref. 28) materials (see above), the increased SO2 adsorption selectivity of the PSM nickel pyrazolate series, clearly benefits their performance in gas separation applications.

### Interaction of SO2 with crystal defects by DFT calculations

To better understand the adsorption mechanisms of SO2 on the defective structures, we explored the preferential adsorption configurations of one, two and three SO2 molecules in the pore structures of 1, 1@KOH and 1@Ba(OH)2 materials by means of DFT calculations22 (Fig. 5 and Supplementary Fig. 14). The DFT results show that the preferential SO2 adsorption sites in 1@Ba(OH)2 are the crystal defects. Indeed, the first SO2 molecule adsorbed exhibits a bidentate coordination of its oxygen donor atoms with the extra-framework Ba2+ cations, which are located at the pyrazolate vacancy sites with Ba–O distances of ca. 2.9 Å (Fig. 5a). When a second SO2 molecule is adsorbed, the first molecule keeps its bidentate coordination; however, the second molecule interacts in a monodentate mode through one oxygen donor atom giving rise to a shorter 2.7 Å Ba···O contact (Fig. 5c). The binding energy for the first molecule (−107.4 kJ mol−1) is therefore higher than for the second one (−78.2 kJ mol−1, Supplementary Table 7). These high energy values are indicative of strong and selective interactions, namely, chemisorption33. Since the first two molecules have such high adsorption energies, we studied the adsorption of a third molecule, which does not interact with the cation (Supplementary Fig. 14) giving rise to a much lower binding energy (−42.0 kJ mol−1), which suggests that the third molecule is not chemisorbed but physisorbed.

Adsorption on the 1@KOH structure proceeds somewhat differently. The most stable configuration for the first SO2 molecule adsorbed by 1@KOH is a monodentate interaction through the one oxygen atom with the extra-framework K+ cation exhibiting a K···O distance of 2.6 Å (see Fig. 5b). This interaction is complemented by hydrogen bonding interaction with a hydroxide group of the metal cluster (O···H distance of 2.1 Å). The second SO2 molecule adsorbed at the crystal defect site does not interact with either the K+ cation or the first molecule. The configuration of the second molecule is characterized by an AA···DD hydrogen bonding pattern between the oxygen atoms of the SO2 molecule and two adjacent hydroxide groups located at the pyrazolate vacancy sites of the metal cluster (Fig. 5d). The binding energies for the first and second adsorbed molecules are −88.1 and −65.0 kJ mol−1, respectively, which lie in the range of chemisorption. The interaction of the metal cluster hydroxide ions with the SO2 molecules is in agreement with the experimental findings in MTM-300 system6,28. The incorporation of a third SO2 molecule gives rise to a weaker interaction with the extra-framework cation and the second adsorbed SO2 molecule with a binding energy of −44.3 kJ mol−1 characteristic of physisorption (Supplementary Fig. 14).

Therefore, our calculations indicate that 1@Ba(OH)2 has stronger interactions with SO2 molecules than 1@KOH because of the specific interactions with extra-framework barium cations. The SO2 defect site fixation mechanism parallels the Rubisco type CO2 insertion in the amine–metal coordination bond described by Long et al.5 on the alkylamine functionalized M2(dobpdc) systems, which implies a cooperative interaction with metal and basic amine sites. Moreover, while the binding energy for the first SO2 molecule falls clearly in the chemisorption range, and the third adsorbed SO2 molecule in the physisorption range, the binding energy for the second molecule might be considered to be between the chemisorption and physisorption ranges. In this regard, the higher interaction of the second adsorbed SO2 molecule with 1@Ba(OH)2 compared with 1@KOH could explain the fundamental role of the ion exchange process on the enhanced reversible SO2 adsorption.

## Discussion

Here, we show a novel and simple strategy to fine-tune the functional properties of metal organic frameworks towards the directed capture of harmful gases by the deliberate creation of defects, ultimately allowing ion exchange processes. The enhanced adsorptive properties (particularly on the selective SO2 adsorption) of the postsynthetically modified MOF materials series can be taken as a proof of concept of the success of defect engineering methodology for optimizing the adsorptive properties of high connectivity networks. Indeed, the strong and selective interaction of the pore structure with the SO2 target molecule can be attributed to a series of favourable features which include: (i) enhanced basicity of metal hydroxide clusters as a consequence of additional hydroxide anions replacing the missing linkers defects; (ii) affinity of extra-framework Ba2+ ions for SO2 fixation; (iii) higher pore accessibility of the 3D structure arising from missing linker defects and (iv) the fine-tuning of the pore surface polarity by the benzene functional groups.

Moreover, the lack of reactivity of co-crystallized barium hydroxide microparticles for SO2 fixation, compared with the high reactivity of extra-framework barium cations in the nickel pyrazolate MOF systems, illustrates the importance of the accessibility and high dispersion of adsorption sites that the defective MOF platform provides.

Future work, to further modulate the adsorptive and catalytic properties of these materials, will fully exploit the ion exchange possibilities opened by the deliberate introduction of defects.

## Methods

### General methods

Detailed procedures for the synthesis and characterization of ligands and MOF, adsorption of SO2 measurements and DFT calculations are reported in Supplementary Methods.

### Synthesis of materials 1–3

The synthesis of MOFs samples 13 were prepared according to the procedure reported by our group34, with subtle changes as follows: in a typical synthesis, 631 mg (3 mmol) of 4,4’-benzene-1,4-diylbis(1H-pyrazole) were dissolved in 160 ml of N,N′-dimethylformamide and 992 mg (4 mmol) of Ni(CH3COO)2 4 H2O were dissolved in 40 ml of H2O. The two solutions were mixed and refluxed for 12 h under stirring. The solid obtained was filtered off and washed with N,N’-dimethylformamide, ethanol and diethyl ether, yielding the corresponding MOF 1–3. Before use or characterization of materials, 500 mg of as synthesized solids were solvent exchanged with 100 ml of dichloromethane, with stirring at room temperature for 2 h.

### Preparation of materials 1@KOH—3@KOH

The postsynthetical modification of 1, 2 and 3 materials were done according to previously reported procedure by our group20, with activation of as synthesized MOFs thermally at 423 K and outgassed to 10−1 Pa for 12 h, to obtain solvent-free porous matrix. Afterwards, 0.055 mmol of each material was suspended in 0.35 M KOH absolute ethanol solution (5.5 ml). The resulting suspensions were stirred overnight under an inert N2 atmosphere, filtered off and washed copiously with absolute ethanol yielding the corresponding compounds 1@KOH, 2@KOH, 3@KOH.

### Preparation of materials 1@Ba(OH)2—3@Ba(OH)2

The materials 1@KOH, 2@KOH, 3@KOH were used as prepared without previous activation as follow, 100 mg of the 1@KOH3@KOH materials were suspended in 12 ml of a 0.1 M aqueous solution of the Ba(NO3) with stirring for 72 h at room temperature. The postmodified materials were subsequently filtered off, washed with water and ethanol and dried in air. Later, the solids (50 mg) as obtained were suspended in 50 ml of water for 4 h to remove the eventual absorbed ion pairs. The materials 1@Ba(OH)2, 2@Ba(OH)2 and 3@Ba(OH)2 were filtered off and washed with water and ethanol, and dried in air.

Postsynthethical modified material 1@Ba(OH)2: Elemental analysis (previously activated sample) Calculated for Ba0.5(Ni8(OH)3(C2H5O)3(H2O)2(C12H8N4)5.5)(Ba(OH)2)(H2O)5.% C,39.9; N, 14.22; H, 3.63; Found, C,40.05; N,14.32; H, 3.90. Calculated residual oxides from TGA for 1@Ba(OH)2: (NiO)8(BaO)1.5 38.18%; Found: 38.26%. ICP-MS composition for 1@Ba(OH)2: Ni, 5.75 p.p.m.; Ba, 2.82 p.p.m. ATR-FTIR (4,000–400 cm−1): 3,585(br), 3,373(br), 3,141(br), 3,023(w), 2,967(w), 1,578(s), 1,453(vs), 1,356(m), 1,246(m), 1,164(w), 1,123(w), 1,048(s), 956(s), 820(vs), 651(w),532(w),503(w).

Postsynthethical modified material 2@Ba(OH)2: Elemental analysis (previously activated sample) Calculated for Ba1.5(Ni8(OH)3(C2H5O)(H2O)2(C12H7N4O)5)(Ba(OH)2)0.5(H2O).% C,36.73; N, 13.81; H, 2.48; Found, C,36.88; N,13.46; H, 3.05. Calculated residual oxides from TGA for 2@Ba(OH)2: (NiO)8(BaO)2 44.5%; Found: 43.83%. ICP-MS composition for 2@Ba(OH)2: Ni, 6.90 p.p.m.; Ba, 4.10 p.p.m. ATR-FTIR (4,000–400 cm−1): 3,388(br), 3,064(w), 2,975(w), 1,623(m), 1,573(s), 1,456(vs), 1,371(m), 1,249(m), 1,211(w), 1,170(w), 1,058(s), 958(m), 856(vs), 823(s), 692(w), 665(w),613(w),567(w).

Postsynthethical modified material 3@Ba(OH)2: Elemental analysis (previously activated sample) Calculated for Ba0.5(Ni8(OH)3(C2H5O)3(H2O)2(C12H9N5)5.5)(Ba(OH)2)1.5(H2O).% C,38.20; N, 17.02; H, 3.41; Found, C,38.11; N,17.02; H, 3.83. Calculated residual oxides from TGA for 3@Ba(OH)2: (NiO)8(BaO)2 39.95%; Found: 40.15%. ICP-MS composition for 3@Ba(OH)2: Ni, 6.11 p.p.m.; Ba, 3.29 p.p.m. ATR-FTIR (4,000–400 cm−1): 3,583(w), 3,365(br), 3,045(w), 2,970(w), 1,622(m), 1,572(s), 1,460(vs), 1,384(m), 1,246(s), 1,168(m), 1,126(w), 1,058(vs), 958(m), 856(m), 810(vs), 665(w), 617(w), 563(w), 501(w), 474(w).

### Adsorption isotherm of SO2 on 1@Ba at 303 K

Adsorption isotherm was measured at 303 K, point by point using breakthrough experiments with total flow of 30 ml min−1 He/SO2 variable gas mixtures from (97.5/2.5) to (25/75). The MOFs is activated at 423 K for 24 h before first chemisorption cycle, and for 2 h between further cycles. Each gas mixture is measured twice to assure the physisorption process. The adsorbed amount was calculated using the same procedure as for routine breakthrough experiments. It should be noted that all isotherm points are measured on the same prepared column and the material characterized after this adsorption cycles maintain crystallinity and porosity. The desorption branch was unable to measure with this procedure.

### Breakthrough experiments for gas separation

For these measurements, the PSM materials used were carefully handled avoiding possible chemisorption of CO2 from air and the 20-cm chromatographic column, that was prepared employing a stainless steel 20 cm-column (0.4 cm internal diameter) packed with ca. 0.5 g of the studied materials (13, 1@KOH3@KOH and 1@Ba(OH)23@Ba(OH)2. The column was activated under a pure He flow (20 ml min−1) at 423 K overnight and for 2 h between successive breakthrough cycles. The desired gas mixture (20 ml min−1) was prepared via mass flow controllers. For instance, N2/SO2 (97.5: 2.5), N2/CO2/SO2 (83.5: 14: 2.5) and N2/H2O/SO2 (94.1: 3.4: 2.5) gas mixtures were prepared to simulate the emission of flue gas from a power plant. The breakthrough experiments were carried out, at 303 K, by step changes from He to N2/SO2, N2/CO2/SO2, and N2 /H2O/SO2 flow mixtures. The subsequent breakthrough cycles were measured with prior sample reactivation under a pure He flow (20 ml min−1) at 423 K during 2 h. The relative amounts of gases passing through the column were monitored on a Mass Spectrometer Gas Analysis System (Pfeiffer Vacoon) detecting ion peaks at m/z 64 (SO2), 44 (CO2), 28 (N2), 18 (H2O) and 4 (He). The adsorbed amounts of SO2 for the different materials are summarized in Supplementary Table 3.

### Variable temperature pulse gas chromatography

Gas-phase adsorption at zero-coverage surface was studied using the pulse chromatographic technique35 employing a gas chromatograph and stainless steel 20 cm-column (0.4 cm internal diameter) packed with ca. 0.5 g of the studied materials (13, 1@KOH3@KOH and 1@Ba(OH)23@Ba(OH)2). It should be noted that all the measurements were done on the materials after SO2 chemisorption (after breakthrough experiments) to ensure the thermodynamic equilibrium. Before measurement, samples were heated overnight at 423 K in a He flow (20 ml min−1). Later on, an equimolecular gas mixture composed of H2, N2, CO2, SO2 gases (0.4 ml) was injected at 1 bar and the separation performance of the chromatographic column was examined at different temperatures (403–433 K) by means of a mass Spectrometer Gas Analysis System (Pfeiffer Vacoon), detecting the corresponding masses. The dead volume of the system was calculated using the retention time of hydrogen as a reference. The zero-coverage thermodynamic parameters of the adsorption process for SO2 and CO2 are gathered in Table 1 and Supplementary Table 4, respectively. These values were calculated using a van’t Hoff type analysis employing isothermal chromatographic measurements5. The retention volumes were corrected taking into account the volume expansion of the gas entering the capillary due to the temperature increase according to VS=(tRtm)Fa(T/Ta)j where VS=net retention volume (ml); tR=retention time (min); tm=dead time (min); Fa=volumetric flow-rate measures at ambient temperature (ml min−1); T=column temperature (K); Ta=ambient temperature (K); the James–Martin gas compressibility correction j=(3(pi/p0)2−1)/(2(pi/p0)3−1) where pi=pressure of gas applied to the chromatogram and p0=pressure of gas at outlet.

Once these corrections where applied, the van’t Hoff plot of the equation lnVS=ln(RTns)+ΔS/R−ΔHdiff/(RT) was used to calculate the thermodynamic parameters of each analyte taking into account that the term ln(RTns) is usually small and can be neglected in the determination of ΔS. In addition to the ΔHdiff value obtained from the van’t Hoff plot the isosteric heat of adsorption (ΔHiso) was also determined according to the relation Δ|Hiso|=|ΔHdiff|+RTaverage. The $$\alpha _{{\rm SO}_{\rm 2} {\rm /CO}_{\rm 2} }$$ partition coefficients have been calculated from the Henry constants ratio according to the relation the $${\rm \alpha }_{{\rm SO}_{\rm 2} {\rm /CO}_{\rm 2} } = K_{{\rm H\_SO}_2 } /K_{{\rm H}\_{\rm CO}_2 } = \exp [ - (\Delta {\rm G}_{{\rm SO}_2 } - \Delta {\rm G}_{{\rm CO}_{\rm 2} } )/{\rm RT}]$$.

### Characterization of materials after SO2 chemisorption

The materials were characterised after SO2 chemisorption process by means of EA, XRPD, FTIR, TEM-EDX, TGA-FTIR and N2 adsorption isotherms to know the effect of the chemisorption process on the structural integrity of the material. The results are indicative that the crystal phase of both MOF and Ba(OH)2 cocrystals are maintained and only a slight diminution on surface area is observed as a probable consequence of the formation of BaSO3 nanoclusters.

### Elemental analysis after adsorption of SO2

1@Ba(OH)2 after adsorption of SO2: elemental analysis: found % C,36.81; N,13.45; H, 3.56; S, 0.29. Calculated for Ba0.5(Ni8(OH)4(C2H5O)2(C12H8N4)5.5)(Ba(OH)2) (H2O)14 (SO2)0.2 C,36.9; N,13.52; H, 3.89; S, 0.28. ATR-FTIR (4,000–400 cm−1): 3,360(br), 3,028(w), 1,578(vs), 1,464(vs), 1,385(w), 1,355(s), 1,247(vs), 1,166(m), 1,145(w), 1,124(m), 1,047(s), 955(s), 822(vs), 857(w), 651(w), 677(w), 649(m), 534(m), 503(m).

2@Ba(OH)2 after adsorption of SO2: elemental analysis: found C,29.72; N, 10.91; H, 3.51; S, 0.59; calculated for Ba1.5(Ni8(OH)3(C2H5O)(H2O)2(C12H7N4O)5)(Ba(OH)2)0.5(H2O)27 (SO2)0.5 C,29.46; N, 11.08; H, 4.08; S, 0.63. ATR-FTIR (4,000–400 cm−1): 3,385(br), 1,625(m), 1,578(s), 1,459(vs), 1,375(w), 1,249(m), 1,201(w), 1,188(w), 1,088(w), 1,057(s), 957(w), 943(w), 856(s), 814(s), 693(w), 673(w), 611(m),571(w), 557(w).

3@Ba(OH)2 after adsorption of SO2: elemental analysis: found: C, 33.46; N, 14.14; H, 3.42; S, 0.46; calculated for Ba0.5(Ni8(OH)(C2H5O)5(H2O)2(C12H9N5)5.5)(Ba(OH)2)1.5(H2O)20(SO2)0.4 C, 33.96; N,14.33; H, 4.59; S, 0.47. ATR-FTIR (4,000–400 cm−1): 3,580(w), 3,380(br), 1,624(m), 1,573(s), 1,454(vs), 1,386(m), 1,373(w), 1,246(s), 1,172(m), 1,122(w), 1,108(w), 1,060(vs), 985(m), 946(w), 856(s), 822(s), 693(w), 668(w), 613(s), 571(w).

### Computational details of periodic DFT calculations

A theoretical study of 1, 1@KOH, and 1@Ba(OH)2 was carried out using DFT, as implemented in the VASP programme22. The calculations were performed with a cutoff energy of 500 eV and PAW potentials36. The PBE exchange-correlation functional37, with corrected van der Waals interactions introduced via the D2 Grimme scheme38 was used. Due to the large sizes of the unit cells, only the gamma point was used. No symmetry constrains were used and both the atomic coordinates and the cell parameters were allowed to vary.

Calculations on 1, 1@KOH, 1@Ba(OH)2 were performed with a cubic primitive cell containing 166 and 306 framework atoms for 1, and for 1@KOH and 1@Ba(OH)2, respectively. The initial cubic cell has the cell parameters equal to a=25.38 Å. Due to the presence of local defects, the optimized cells depart from the ideally cubic structure, as it is common in defective porous materials39. This is not a problem in the present study, as our interest lies on the local host–guest interactions. What it is important is the accurate description of the local structure and the host–guest interactions. Note that indeed both bond lengths and angles are in agreement with reported crystal data.

### Computational study of the adsorption of SO2 molecules

The initially high symmetry of the material allows us to model the defective solid with a relative small number of configurations. In this context, three different configurations were considered for the extraction of the missing linkers and the introduction of K+ cations. The dangling metal-N bonds were capped with OH. In the case of the replacement of two K+ cations by one Ba2+ one, four configurations were taken into account. As mentioned above, the local structure is strongly affected by the presence of defects, as can be seen in Supplementary Fig. 14 and Supplementary Table 6. It is observed that larger distortions result from the exchange of K+ by Ba2+ cations, as a consequence of the two times larger polarizing power of Ba2+.

### Data availability

Details of the experimental and computational methods to characterize the materials and their adsorptive properties are included in this published article and its Supplementary Information file or upon request to the corresponding authors.

How to cite this article: Rodríguez-Albelo, L. M. et al. Selective sulfur dioxide adsorption on crystal defect sites on an isoreticular metal organic framework series. Nat. Commun. 8, 14457 doi: 10.1038/ncomms14457 (2017).

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## Acknowledgements

We thank generous funding from the European Research Council through an ERC Starting Grant (ERC2011-StG-279520-RASPA), the Spanish Ministry of Economy (CTQ2013-48396-P, CTQ2014-53486-R, CTQ2015-70135-REDT) and FEDER and Marie Curie IIF-625939 (LMRA) funding from European Union and Andalucía Region (FQM-1851). We would also like to thank the high performance computer Centre Alhambra (at the University of Granada), and the Centro Informático Científico de Andalucía (CICA), for providing us computer resources to carry out the work.

## Author information

Authors

### Contributions

L.M.R.-A. and E.L.-M. carried out the synthesis and full characterization of the MOF materials. S.H., A.R.R.-S. and S.C. carried out the computational simulation work. L.M.R.-A. and J.A.R.N. analyzed the experimental data and wrote the manuscript with collaboration of S.H. and A.R.R.-S. J.A.R.N. was responsible for the overall direction of the Project with contributions from all the authors.

### Corresponding authors

Correspondence to L. Marleny Rodríguez-Albelo or Jorge A.R. Navarro.

## Ethics declarations

### Competing interests

The authors declare no competing financial interests.

## Supplementary information

### Supplementary Information

Supplementary Figures, Supplementary Tables, Supplementary Methods, Supplementary Notes and Supplementary References (PDF 2407 kb)

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Rodríguez-Albelo, L., López-Maya, E., Hamad, S. et al. Selective sulfur dioxide adsorption on crystal defect sites on an isoreticular metal organic framework series. Nat Commun 8, 14457 (2017). https://doi.org/10.1038/ncomms14457

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