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. 2024 Jan 26;146(5):3270–3278. doi: 10.1021/jacs.3c11847

In Situ Single-crystal X-ray Diffraction Studies of Physisorption and Chemisorption of SO2 within a Metal–Organic Framework and Its Competitive Adsorption with Water

Russell M Main †,*, Simon M Vornholt , Romy Ettlinger , Philip Netzsch , Maximillian G Stanzione , Cameron M Rice , Caroline Elliott , Samantha E Russell , Mark R Warren §, Sharon E Ashbrook , Russell E Morris †,*
PMCID: PMC10859936  PMID: 38275220

Abstract

graphic file with name ja3c11847_0006.jpg

Living on an increasingly polluted planet, the removal of toxic pollutants such as sulfur dioxide (SO2) from the troposphere and power station flue gas is becoming more and more important. The CPO-27/MOF-74 family of metal–organic frameworks (MOFs) with their high densities of open metal sites is well suited for the selective adsorption of gases that, like SO2, bind well to metals and have been extensively researched both practically and through computer simulations. However, until now, focus has centered upon the binding of SO2 to the open metal sites in this MOF (called chemisorption, where the adsorbent–adsorbate interaction is through a chemical bond). The possibility of physisorption (where the adsorbent–adsorbate interaction is only through weak intermolecular forces) has not been identified experimentally. This work presents an in situ single-crystal X-ray diffraction (scXRD) study that identifies discrete adsorption sites within Ni-MOF-74/Ni-CPO-27, where SO2 is both chemisorbed and physisorbed while also probing competitive adsorption of SO2 of these sites when water is present. Further features of this site have been confirmed by variable SO2 pressure scXRD studies, DFT calculations, and IR studies.

Introduction

The capture of pollutants such as nitrogen oxides (NOx) or sulfur dioxide (SO2) from the atmosphere or industrial flue gases is urgently needed.14 SO2 in the troposphere not only leads to the formation of acid rain,5 but there is growing evidence of its contribution to chronic illness.6 It is produced in large quantities during fossil fuel combustion from sulfur contaminants in the product stream7 and is a significant pollutant in flue gas outflow from power stations that can limit the application of potential carbon dioxide (CO2) capture and storage devices.8 Therefore, materials that can capture or degrade SO2 are a major target for research.

The class of metal–organic frameworks (MOFs) holds promise for addressing these challenges. Their structures consist of metal nodes, bound together by organic linkers to create large open lattice frameworks.9 MOFs are well-known for their high porosities and exceptional surface areas of up to 10,000 m2g–1.10 Owing to these properties, the use of MOFs as gas storage devices for energetic gases, e.g., H211 and CH4,12,13 as well as carbon capture and storage14,15 has already been widely researched.16

The MOF-74/CPO-27 family of MOFs is of great interest due to its stable porosity and the high density of open metal sites within its internal pore environment.1719 The M2+ metal ions (M = Mg, Ni, Co, Cu, or Zn) are connected by 2,5-dihydroxylterephthalaate linkers (2,5-dhtp) into a porous structure. It crystallizes in the R3̅ space group and contains one-dimensional hexagonal channels running along the crystallographic c-axis. After thermal activation, these channels contain open metal sites, making MOF-74 a very attractive option for the storage of gases, particularly those that are good ligands that can form a bond to the metal on adsorption (a process termed chemisorption). Henkelis et al. have shown that Mg-MOF-74 is capable of preferential adsorption of SO2 over water in a wet gas stream designed to be similar to that found in flue gas.20 There have been many computational studies that have shown the high binding energies of SO2 to the open metal site of Mg-MOF-74 and that SO2 is predicted to bind in preference to water,4,2125 supporting the results observed by Henkelis et al.20 However, open metal sites are not the only means by which SO2 can be captured by a MOF. For example, Walton et al.26 have shown that the binding of different modulators within UiO-66 has a marked effect on its SO2 uptake; Parker et al.27 showed that functionalized amine groups within Mg2(dobpdc) could chemically bind SO2; and Smith et al.28 have shown that there are a variety of binding sites within MFM-170(Cu). While in the vast majority of spectroscopic and computational studies the possibility of physisorbed sites (i.e., those where the adsorbate-adsorbent interaction does not involve chemical bond formation) has been ignored, very little research has focused on potential secondary binding sites that play a role in competitive coadsorption of gases at the metal site.29,30 At the very least, both physisorbed and chemisorbed species are possible; however, no diffraction study has identified the physisorption site for SO2 in MOF-74 materials.

To fully understand how gases are adsorbed by MOFs, it is important to know exactly how the gases bind within the frameworks. In situ studies of gas adsorption using single crystal X-ray diffraction (scXRD) provides an invaluable tool to improve our understanding of adsorption but is experimentally challenging.31 By utilizing the unique brightness and flux of high energy X-rays available at a synchrotron facitly,32 it is possible to obtain and model data of high enough resolution to observe gas molecules within the MOF pore environment. In our previous work on NO and CO binding in Ni-MOF-74,33,34 we could only observe the chemisorbed binding site as any physisorbed molecules were too disordered over multiple sites. In general, in MOFs the accessible pore volume available for physisorption outweighs that available for chemisorption, even in MOFs like Ni-MOF-74 which has a relatively large number of open metal sites. However, observing a physisorbed site with scXRD is difficult due to the high amount of disorder and there are only a small number of examples, all published in the past few years.1,28,35

Here, we present scXRD data obtained at Diamond Light Source (UK) showing SO2 binding within an activated Ni-MOF-74 framework and how this is affected by changes in temperature and pressure. Not only is the chemisorbed site located, but at room temperature, a previously unreported physisorbed site has also been observed. We have performed DFT calculations to confirm the energetic properties of SO2 binding within this site, as well as the SO2 loading of Mg-and Ni-MOF-74 in a humid gas stream to confirm the preferential uptake of SO2 over water in both MOFs, as reported by Nenoff et al.20

Results

In Situ scXRD Study Loading Ni-MOF-74 with SO2

To study the loading of Ni-MOF-74 with SO2, single crystals were synthesized according to the procedure reported elsewhere (Figure S1).33 After the crystal was selected, it was first activated at elevated temperatures (450 K) and vacuum (3.3 × 10–6 mbar). As observed in previous studies, complete dehydration, i.e., a residual occupancy of M–Owater (Ow) of 0% could not be achieved even after treatment under high vacuum and temperature.33,34 Therefore, samples were considered activated when the residual occupancy of Ow fell below 10%. It was found that if the activated samples were cooled, the amount of bound water increased even under a (dynamic) vacuum. This suggests that, because the whole gas delivery system cannot be heated, some water remains bound on the cool surfaces of the gas system even when the crystal itself is heated and this water is readsorbed once the crystal is cooled because of the high affinity of water to the Ni site.30 To mitigate this to some degree, the crystal was activated at 450 K and then exposed to SO2 while it was still at this temperature. It was then cooled to 300 K to observe how the gas binding changes with temperature.

A list of experimental details with corresponding refinement quality factors (R1) can be found in Table S1, and the full structure determination details have been deposited with the Cambridge Crystal Structure Database as described below.

The structure of activated Ni-MOF-74 shows the expected R3̅ symmetry and honeycomb structure (Figure 1).36 Once the observed residual occupancy of Ow at 450 K was down to 7.4(11)% (Figure 1b, Supplementary CIF 1), SO2 was introduced to the sample at 450 K and 2 bar. Under these conditions, SO2 binds to the open metal site, through one of the oxygen atoms, with an occupancy of 79(2)% (Figure 1c, Supplementary CIF 2). The SO2 was highly disordered but this could be modeled by splitting the sulfur atom over three sites with restraints on the bond distances to ensure a stable refinement (see Figure 1e and Supporting Information, Supplementary Methods). The second oxygen could only be modeled at one site; however, the refined oxygen occupancy is lower than expected at 16(3)%, indicating that the oxygen atom is in fact distributed over multiple positions around the sulfur atoms and this is merely the most likely position in which it can be found. The S–O bonds were subject to a bond distance (SHELXL DFIX) restraint and range between 1.416(19) and 1.448(14) Å, similar to the free SO2 bond length.37 The Ni–O bond was allowed to be refined unrestrained to 2.229(8) Å.

Figure 1.

Figure 1

Showing honeycomb channels of Ni-MOF-74, modeled with balls and sticks, under (a) atmospheric pressure and room temperature, (b) 450 K and 3.3 × 10–6 mbar with 7.4(11)% Ow occupancy, (c) 450 K and 2 bar of SO2, with 79(2)% SO2 loading, and (d) 300 K, 2 bar SO2 pressure with two SO2 sites of occupancies 100(2)% chemisorbed and 77.7(19)% physisorbed; and showing the disorder modeling within SO2 loaded Ni-MOF-74 with 50% probability ellipsoids, under (e) 450 K and 2 bar SO2 and (f) 300 K and the same gas pressure.

Reducing the temperature to 300 K (Figure 1d, Supplementary CIF 3) while maintaining the same SO2 pressure had two effects. First, it increased the amount of metal bound SO2 to 100(2) %. The lower temperature decreased the disorder in the SO2 as seen by the reduction in the anisotropic parameters and the ability to better model the disorder in the outer oxygen atoms, Figure 1f. The Ni–O bond length reduced to 2.161(5) Å, indicating a stronger bond with the guest. The S–O unrestrained bond lengths of the metal bound SO2 molecules were in the range 1.41(2)–1.46(2) Å, a broad range but close to that of free SO2.37 The secondary S–O bonds were restrained and ranged between 1.392(15) and 1.44(2) Å (Figure 1f).

Second, the reduction in temperature led to some physisorbed SO2. This SO2 is, as expected, highly disordered but can be modeled with one sulfur atom (occupancy of 77.7(19) %) and four oxygen atoms. The S–O bond lengths were restrained with a DFIX restraint and vary between 1.379(17) and 1.426(17) Å (Figure 1f).

It was not possible to model any further physisorbed SO2 sites, but by calculating the free pore volume and the excess electron density found within using the Olex mask command with a 1.2 Å probe, an estimate of how much unmodelled SO2 in the pore can be obtained. The calculated masks show the expected trend for the pore volume. The activated sample had a free pore volume of 2121 Å3 per unit cell, and on adding chemisorbed SO2, this reduced to 1014 Å3 per unit cell. Cooling the sample (with chemisorbed and physisorbed SO2 modeled) caused a further reduction to 393 Å3 per unit cell. For comparison, the free pore volume of a theoretical fully dehydrated sample is 2365 Å3 per unit cell; therefore, at 300 K, the modeled SO2 takes up 83% of the available pore volume. The calculated electron densities, which are useful proxy for any free gas molecules within the pore, showed a different trend. The activated sample had 0.014 e per Å3, the SO2 loaded sample had 0 e per Å3 (at 450 K) and cooling it increased it back to 0.107 e per Å3. These data indicate that at 450 K there is no physisorbed SO2 at all, while at 300 K, there is the modeled physisorbed site plus approximately one unmodeled SO2 molecule per unit cell loosely bound within the free pore volume at 300 K.

The free volume available in the activated sample can theoretically hold 29 SO2 molecules per unit cell (using a kinetic diameter of 3.6 Å).38 Our model suggests the maximum loading would be 12 chemisorbed SO2 molecules, 12 physisorbed SO2 molecules, and 5 free SO2 molecules making 29 per unit cell overall. At 2 bar and 300 K, we can model 22 of these molecules.

DFT Calculations

The physisorbed binding site for SO2 modeled above has, as far as we are aware, never been observed or predicted computationally in any previous study, though similar sites have been modeled for other gases.39,40 Therefore, it was desirable to compute whether this site was energetically favorable in other MOF-74 systems. To do this, we performed a DFT calculation of the binding energies of the two sites within Mg-MOF-74. The magnesium sample was chosen to match the previous work done by Nenoff and co-workers.20 The purely metal bound SO2 had a binding energy of 89.5 kJ mol–1; a similar value to that found in the literature for this system (Table S2).2123 Modeling the chemisorbed and physisorbed sites produced an additional binding energy of 42.6 kJ mol–1. In models that contain nonmetal bound SO2, similar binding energies have been observed (Table S2).35

By comparing the DFT optimized structure with that modeled from the scXRD data, it is possible to observe which interactions are likely to be most important in binding the second SO2. Table 1 shows the relevant interactions and compares the differences between the atomic distances in structures from DFT and scXRD. Some of the interactions are highlighted and shown in Figure 2. It is possible to distinguish between the two physisorbed oxygen positions as one points in toward the wall of the framework (labeled Oi) the other points out into the internal pore (labeled Oo).

Table 1. Table Showing Selected Atomic Distances from Structures Optimized Using DFT Calculations and Their Equivalent Distances within the scXRD Data Set (The Distances Marked * Are Shown in Figure 2).

bond type distance in DFT/Å equivalent distance in scXRD/Å
Oi -- metal bound S * 2.907 2.975(35)
Oi -- framework H * 2.964 3.068(28)
Oo -- other physisorbed S 3.307 3.308(46)
S -- framework O * 3.112 3.0688(87)
Oi -- outer O in metal bound SO2 3.250 3.012(68)
Oo -- outer O in metal bound SO2 * 3.278 2.763(73)
S -- O in metal bound in SO2 3.293 3.484(10)
Oi -- framework O * 3.462 3.261(38)
S -- framework aromatic Cs 3.564 3.506(10)
Oo -- framework H 3.757 2.996(49)

Figure 2.

Figure 2

Schematic, with 40% space filling spheres, showing the interactions marked in Table 1 between the physisorbed SO2 and the rest of the framework. The color of each line indicates which atoms are involved in the interaction. The framework is shown blurred for ease of view with an arrow marking the direction of the c axis and pore direction.

Figure 2 shows that two main interactions taking place. The first is between the SO2 and the framework, with the aromatic hydrogen and a carboxylic oxygen of the 2,5-dhtp linker both within 3 Å of the SO2. Second, there is the interaction between the physisorbed SO2 and the metal bound SO2 with both Oi and Oo binding to a different metal bound SO2 along the length of the pore with interaction distances around 3 Å. This shows that this binding pocket is only accessible after SO2 has bound to the metal. It may also further explain why this site was unoccupied at 450 K. Not only does the high temperature start to overcome the binding energy, but the increased motion of the metal bound SO2 will disrupt the favorable binding interaction. The presence of only long-range binding interactions along with the low enthalpy of adsorption confirm that this is a physisorbed site.41

Variable Pressures of SO2 in Ni-MOF-74

To further investigate SO2 binding within Ni-MOF-74, the MOF was loaded with SO2 at different gas pressures and the structure was analyzed using scXRD. At 450 K, SO2 only binds to the open metal site and the occupancy increases with pressure similar to type I isotherm behavior (Figure 3a, Supplementary CIF 4). The SO2 loading plateaus above 0.8 bar. At this temperature, it is not possible to model any physisorbed SO2 molecules and there is no additional electron density within the pore environment, indicating that SO2 only binds to the metal site.

Figure 3.

Figure 3

Plot showing how the occupancy of (a) metal bound SO2 in Ni-MOF-74 increases as a function of pressure at 450 K, and (b) the three different SO2 binding regions (metal bound: black, physisorbed site 1: red, physisorbed site 2: blue) changes with pressure at 300 K.

At 300 K, a different behavior was observed (Figure 3b, Supporting Information, CIF 5). Initially, the readsorption of water on cooling from the activation temperature of 450 to 300 K while under vacuum was significant, with the Ow occupancy increasing from 8 to 85%. As described earlier, this water uptake is likely due to condensation on the gas rig being readsorbed by the MOF. However, this gives us an excellent system with which to probe the effect of excess SO2 adsorption in the presence of some water. Once SO2 was introduced, it initially binds to the remaining free metal sites with the level of Ow reaching 94% at only 0.006 bar of SO2. It then occupies the physisorbed site described earlier and then the center of the pore. Significantly, SO2 appears to readily bind into the physisorbed site even when there is a large proportion of water bound to the metal instead of SO2. The three binding modes all follow a type I isotherm on increasing SO2 pressure (Figure 3b) with the level of Ow plateauing at 0.05 bar and the two physisorbed sites at 0.1 bar. At pressures of ≤0.4 bar, it is best to model these sites with three constrained oxygen atoms (see Supporting Information and Figure S3) to improve comparability between the data sets. The constraints necessary for the successful modeling of the SO2 molecules at low pressure means that we cannot be confident that small changes (for example, the slight reduction in occupancy of the physisorbed sites at 0.4 bar) are real effects as the estimated uncertainties on the occupancy (which can all be found in the CIF files) are necessarily quite large for these points.

At pressures higher than 0.4 bar, the SO2 molecules are modeled without constraints and the remaining pore environment electron density calculated. It is possible to observe SO2 replacing the metal bound water as the SO2 pressure is increased above 0.8 bar (Figure 4a); below 0.8 bar, no replacement of metal-bound water by SO2 is seen. We can also observe that the physisorbed occupancy increases above 0.8 bar of SO2 (Figure 4b) showing that this site is filled next. The electron density calculated using the mask shows that unmodeled SO2 increases after about 1.2 bar. Applying a dynamic vacuum after loading the sample with SO2 at 300 K was unable to remove the SO2, with both the metal bound and physisorbed occupancies remaining similar after 50 min (Figure S4).

Figure 4.

Figure 4

Plots showing how SO2 occupancies change with increasing pressure: (a) showing how metal bound occupancies change (water: olive, SO2: black), (b) showing how physisorbed SO2 occupancy increases (physisorbed SO2: red, masked electron density [measurement of unmodelled SO2]: blue).

These data show the subtle features of water/SO2 competitive adsorption. Under high enough pressure, some metal bound water is replaced, but at 2 bar of SO2 pressure, the extent of replacement is still only ∼30%. We can therefore see the importance of activating Ni-MOF-74 before it is used for SO2 capture, especially at low pressures. However, there is some availability for SO2 physisorption even at lower pressures, and so this may be an important mechanism in the removal of SO2 from flue gas.

SO2 Loading in a Humid Atmosphere

In order to validate the comparison of Mg- and Ni-MOF-74 the SO2 loading in humid conditions was performed for both MOFs. To do this, we built a modified gas loading rig20 whereby gaseous SO2 was produced from the reaction of Na2SO3 and H2SO4 under aqueous conditions and passed over Mg- and Ni-MOF-74 with a N2 as carrier gas (Figure S5). The MOFs were not fully activated in order to make the experiment more applicable to an industrial setting, where the high energy and cost of fully activating and storing MOF-74 would be prohibitive. Instead, the MOF samples were dried at 140 °C under a N2 flow in order to remove the majority of the solvent as predicted by thermal gravimetric analysis (Figure S2). This likely results in a MOF with a high amount of metal bound water but with available physisorbed binding environments, which we know from the scXRD studies are important in low temperature SO2 binding. Infrared spectroscopy (IR) was used to observe whether any SO2 is present (Figure S6a,b) and powder X-ray diffraction (PXRD) to observe how this affected the crystal structures (Figure S7).

Exposing an activated sample of Mg-MOF-74 to the wet SO2 gas stream caused the sample to adsorb SO2 and water. This can be seen in the IR spectra in Figure 5a and Figure S6, in which the appearance of a broad peak around 3300 cm–1 shows that water has bound and the marked peak around 950 cm–1 shows that SO2 is present. There are further smaller peaks at 1500 and 790 cm–1 that also arise from SO2 and have been marked along with a shoulder at 1330 cm–1 that Henkelis et al. also associated with SO2 loading.20

Figure 5.

Figure 5

Comparison of IR-spectra of Mg-MOF-74 (a) and Ni-MOF-74 (b) before and after SO2 loading. The marked regions in the IR spectra highlight the changes associated with SO2.

However, adsorbing SO2 caused a small amount of structural change within the MOF. If Mg-MOF-74 was exposed to larger amounts of SO2, it decomposed into MgSO3 (H2O)6 and a small amount of an unknown phase likely due to the production of H2SO3 when the SO2 and water react (Figure S7). However, at the low SO2 concentrations used here, there was no sign of any impurities forming. Henkelis et al.20 also observed that Mg-MOF-74 would degrade after prolonged exposure within their SO2 atmosphere.

Ni-MOF-74 was also capable of adsorbing SO2 along with water, as seen in Figure 5b and Figure S6, with the marked bands at 790, 950, and 1500 cm–1 all indicating the presence of SO2 with the shoulder at 1330 cm–1 again difficult to observe in this data set. Experimentally, we found that Ni-MOF-74 was more stable in the SO2 flow than its Mg-analogue: when using the same loading conditions, Ni-MOF-74 was stable, while Mg-MOF-74 degraded and was only stable at reduced SO2 concentrations (Figure S7 and Methods). This enhanced stability has been seen before in water adsorption42,43 and can be explained by the lower lability of the Ni ion.44 Therefore, even though computational studies show Mg-MOF-74 has a stronger binding affinity with SO2 than Ni-MOF-74,22,25 the enhanced stability of Ni-MOF-74 may make it more viable as SO2 capture agent within a real world setting such as a power station outflow.

Discussion

In this work, we used high energy and flux scXRD data to reveal the existence of a previously unknown binding site for SO2 within Ni-MOF-74 that plays an important role in SO2 adsorption at room temperature. DFT calculations for Mg-MOF-74 confirm the thermodynamic stability of binding SO2 in this site in the MOF and provide insight into the important interactions that create the binding pocket. SO2 loading experiments confirm that Mg- and Ni-MOF-74 were both capable of adsorbing SO2 from an aqueous SO2 gas stream verifying the preferable binding of SO2 over water. Our results also showed that Ni-MOF-74 has greater stability within the acidic gas stream, indicating its enhanced suitability for the prolonged exposures necessary for a SO2 capture device.

This study highlights the importance of combining practical experiments, DFT calculations, and the use of high quality in situ scXRD experiments. Only their combined use could prove that the long-standing assumption that only the open metal sites in the MOF-74 family are suitable for adsorbing gases is not entirely accurate. We hope that this will lead to renewed interest, not only in the abilities of the MOF-74 family and its application in pollution capture devices but also the use of in situ scXRD to provide real data from which to build more accurate computer models.

Methods

Synthesis

Single crystals of Ni-MOF-74 were synthesized using the procedure produced by Vornholt et al.33 Nickel acetate tetrahydrate (1 mmol) was dissolved in water (30 mL) and added to a Teflon liner (50 mL). 2,5-Dihydroxyterephthalic acid (0.5 mmol) and 4,6-dihydroxyterephthalic acid (0.5 mmol) were added to the liner, and the mixture was left to stir for 15 min. The liner was then capped, sealed in an autoclave, and placed in the oven for 3 days at 130 °C. Yellow-brown, rectangular rods of Ni-MOF-74 were obtained after filtration.

Bulk Ni-MOF-74 was synthesized using the following procedure. 2,5-dihydroxyterephthalic acid (1.7 mmol) was added to 5.1 mL of 1 M NaOH with stirring at 50 °C. Separately, nickel acetate tetrahydrate (3.4 mmol) was added to 5.1 mL of water with stirring, also heated to 50 °C. The linker solution was added dropwise to the Ni solution once both were fully dissolved. The solution is stirred at 50 °C for 4 h and then filtered to produce a yellow powder of Ni-MOF-74. The powder was partially activated by heating to 140 °C under a N2 atmosphere for 5 h.

Mg-MOF-74 was synthesized using the following procedure. 2,5-dihydroxyterephthalic acid (3.5 mmol) was dissolved in 1 M NaOH at 50 °C (13.8 mL). Separately, magnesium acetate tetrahydrate (6.8 mmol) was dissolved in ethanol (22.7 mL) at 50 °C. The magnesium solution was added quickly to 2,5-dhtp solution and all stirred at 50 °C for 1 h before cooling and filtering to produce a yellow powder of Mg-MOF-74. The powder was partially activated by heating to 140 °C under a N2 atmosphere for 5 h.

Single Crystal Experiment

In situ gas cell diffraction experiments on single crystals were carried out on a four-circle Newport diffractometer equipped with a Eiger 4 M detector in I19–2 beamline, Diamond Light Source. A wavelength of 0.48590 Å (Ag K-edge) was utilized to give a complete data set from a single 340 degree phi sweep (1700 images, 0.2 deg/image). The selected crystal was mounted with a MiTeGen mount (50 μm) and were secured with a nondiffracting two component epoxy glue (LOCTITE DOUBLE BUBBLE). Care was taken to use as little glue as possible to avoid blocking any channels and ensure good gas transport through the crystal. For gas cell experiments, the crystal mount was inserted into a preassembled gas cell, with super glue used to hold the mount securely in place in the gas cell capillary. The gas cell was then sealed using the Swagelok mechanism and leak tested. The activation temperature was 450 K, with a heating ramp of 360 K/h, in vacuo (3.1 × 10–6 mbar at the pump). A data collection at 300 K of the activated systems was obtained for comparison purposes. Activated crystals were exposed to 2.0 bar of the SO2 gas at 450 K and data were collected after 30 min exposure. The sample was then cooled to 300 K at the same gas pressure, and another data set was collected. After the crystal had been exposed to the gas for another 30 min, an additional data set was obtained to monitor gas uptake.

To create gas adsorption isotherms, a crystal was first activated at 450 K in vacuo (3.1 × 10–6 mbar at the pump). The crystal was then either kept at 450 K or the temperature was reduced to 300 K. The SO2 pressure was then increased incrementally and a scan was taken after 5 and 30 min to monitor the gas uptake. The sample loaded at 300 K was then subjected to a dynamic vacuum at 300 K and regular scans were taken to monitor any SO2 release.

Data collections were setup using the generic data acquisition (GDA) software and were processed using CrysAlisPro45 or xia246 with DIALS47 routines. Subsequently, Olex2 GUI48 (with shelXT49 as solution and shelXL50 as refinement tool) was used for structure solution and refinement, respectively. Crystal structures were visualized using the CrystalMaker software kit.51 Special refinement details can be found in the supplementary methods.

DFT Calculations

DFT calculations were performed with the CASTEP code (version 20.11),52 using the PBE53 functional (with the semiempirical dispersion correction scheme of Tkatchenko and Scheffler),54 core–valence interactions described by ultrasoft pseudopotentials55 and accounting for relativistic effects using ZORA.56 A planewave cut off energy of 60 Ry was used, with the first Brillouin zone sampled by a Monkhorst–Pack57 grid with spacing of 0.04 2π Å–1. Structural models of activated Mg-MOF-74, and models loaded with 18 and with 36 SO2 molecules per unit cell (obtained from scXRD) were geometry optimized, with a geometry optimization energy tolerance of 1 × 10–4 eV per atom and an electronic structure energy tolerance of 1 × 10–9 eV per atom. All atomic coordinates and unit cell parameters were allowed to vary. To compute the relative energy change associated with SO2 loading an additional calculation was also performed for one molecule of SO2 optimized in an empty unit cell (with a = 25.7523 Å, b = 25.7523 Å, c = 6.8065 Å, α = 90°, β = 90° and γ = 120°).

SO2 Loading Experiment

SO2 was produced by the dropwise addition of a H2SO4 solution (12% H2SO4 in water) to an aqueous solution of Na2SO3 (2 g for Ni-MOF-74, 250 mg for Mg-MOF-74 both in 6.5 mL water). The resultant gas was passed over the dried MOF (70 mg) using a dry N2 gas stream which was then bubbled into 500 mL of water in order to remove any excess SO2. A schematic of the experimental setup is provided within the Supporting Information and Figure S5.

Acknowledgments

The authors gratefully acknowledge the assistance of Diamond Light Source for access to beamline I19-2 under proposals CY29217-1 and CY32865-1. The authors are also grateful for financial assistance from the ERC under advanced grant 787073, the EPSRC for a studentship (EP/N509759/1) and support via the Collaborative Computational Project on NMR Crystallography CCP-NC (EP/T02662/1), and the CRITICAT Centre for Doctoral Training (EP/L016419/1). In addition, we gratefully acknowledge the help of Dr David Cordes with indexing of scXRD data.

Glossary

ABBREVIATIONS

MOF

metal–organic framework

SO2

sulfur dioxide

CO2

carbon dioxide

NO

nitric oxide

DFT

density functional theory

CPO

coordination polymer of Oslo

PXRD

powder X-ray diffraction

scXRD

single crystal X-ray diffraction

dhtp

dihydroxyterephthalic acid

Supporting Information Available

The Supporting Information is available free of charge at https://pubs.acs.org/doi/10.1021/jacs.3c11847.

  • Refinement details for each structure presented; PXRD patterns of Ni-MOF-74 single crystals synthesized and predicted; literature values of DFT derived binding energies of SO2 in MOFs; TGA data for Ni-MOF-74; full IR spectra of Ni/Mg-MOF-74 with and without SO2; PXRD patterns of Mg-MOF-74 after exposures to different concentrations of SO2; image of the setup used to load MOFs with SO2. The X-ray crystallographic coordinates for structures reported in this study have been deposited at the Cambridge Crystallographic Data Centre (CCDC), under deposition numbers 22886062288608, 22886112288618, 22886732288683. These data can be obtained free of charge from The Cambridge Crystallographic Data Centre via www.ccdc.cam.ac.uk/data_request/cif. The following documents are provided free of charge: Supporting Information, Supplementary CIF 1- Dehydrated Ni-MOF-74 @ 450 K, Supplementary CIF 2- SO2 loaded Ni-MOF-74 @ 450 K, Supplementary CIF 3- SO2 loaded Ni-MOF-74 @ 300 K, Supplementary CIF 4- SO2 loaded Ni-MOF-74 @ 450 K and various pressures, Supplementary CIF 5- SO2 loaded Ni-MOF-74 @ 300 K and various low pressures, Supplementary CIF 6- SO2 loaded Ni-MOF-74 @ 300 K and various high pressures. The research data supporting this publication can be accessed at https://doi.org/10.17630/ab9867ee-07d1-4c9a-aea4-aa73975f1dbf

Author Contributions

All authors have given approval to the final version of the manuscript.

The authors declare no competing financial interest.

Supplementary Material

ja3c11847_si_001.pdf (709.8KB, pdf)

References

  1. Han Z.; Li J.; Lu W.; Wang K.; Chen Y.; Zhang X.; Lin L.; Han X.; Teat S. J.; Frogley M. D.; Yang S.; Shi W.; Cheng P. A {Ni12}-Wheel-Based Metal–Organic Framework for Coordinative Binding of Sulphur Dioxide and Nitrogen Dioxide. Angew. Chemie Int. Ed. 2022, 61 (6), e202115585 10.1002/anie.202115585. [DOI] [PubMed] [Google Scholar]
  2. Grant Glover T.; Peterson G. W.; Schindler B. J.; Britt D.; Yaghi O. MOF-74 Building Unit Has a Direct Impact on Toxic Gas Adsorption. Chem. Eng. Sci. 2011, 66 (2), 163–170. 10.1016/j.ces.2010.10.002. [DOI] [Google Scholar]
  3. Tchalala M. R.; Bhatt P. M.; Chappanda K. N.; Tavares S. R.; Adil K.; Belmabkhout Y.; Shkurenko A.; Cadiau A.; Heymans N.; De Weireld G.; Maurin G.; Salama K. N.; Eddaoudi M. Fluorinated MOF Platform for Selective Removal and Sensing of SO2 from Flue Gas and Air. Nat. Commun. 2019, 10 (1), 1–10. 10.1038/s41467-019-09157-2. [DOI] [PMC free article] [PubMed] [Google Scholar]
  4. Sun W.; Lin L. C.; Peng X.; Smit B. Computational Screening of Porous Metal-Organic Frameworks and Zeolites for the Removal of SO2 and NOx from Flue Gases. AIChE J. 2014, 60 (6), 2314–2323. 10.1002/aic.14467. [DOI] [Google Scholar]
  5. Meng Z. Y.; Ding G. A.; Xu X. B.; Xu X. D.; Yu H. Q.; Wang S. F. Vertical Distributions of SO2 and NO2 in the Lower Atmosphere in Beijing Urban Areas. China. Sci. Total Environ. 2008, 390 (2–3), 456–465. 10.1016/j.scitotenv.2007.10.012. [DOI] [PubMed] [Google Scholar]
  6. Pandey J. S.; Kumar R.; Devotta S. Health Risks of NO2, SPM and SO2 in Delhi (India). Atmos. Environ. 2005, 39 (36), 6868–6874. 10.1016/j.atmosenv.2005.08.004. [DOI] [Google Scholar]
  7. de Gouw J. A.; Parrish D. D.; Frost G. J.; Trainer M. Reduced Emissions of CO2, NOx, and SO2 from U.S. Power Plants Owing to Switch from Coal to Natural Gas with Combined Cycle Technology. Earth’s Futur. 2014, 2 (2), 75–82. 10.1002/2013EF000196. [DOI] [Google Scholar]
  8. Symonds R. T.; Lu D. Y.; Manovic V.; Anthony E. J. Pilot-Scale Study of CO 2 Capture by CaO-Based Sorbents in the Presence of Steam and SO 2. Ind. Eng. Chem. Res. 2012, 51 (21), 7177–7184. 10.1021/ie2030129. [DOI] [Google Scholar]
  9. Howarth A. J.; Peters A. W.; Vermeulen N. A.; Wang T. C.; Hupp J. T.; Farha O. K. Best Practices for the Synthesis, Activation, and Characterization of Metal–organic Frameworks. Chem. Mater. 2017, 29, 26–39. 10.1021/acs.chemmater.6b02626. [DOI] [Google Scholar]
  10. Guo X.; Geng S.; Zhuo M.; Chen Y.; Zaworotko M. J.; Cheng P.; Zhang Z. The Utility of the Template Effect in Metal-Organic Frameworks. Coord. Chem. Rev. 2019, 391, 44–68. 10.1016/j.ccr.2019.04.003. [DOI] [Google Scholar]
  11. Liu Y.; Eubank J. F.; Cairns A. J.; Eckert J.; Kravtsov V. C.; Luebke R.; Eddaoudi M. Assembly of Metal–Organic Frameworks (MOFs) Based on Indium-Trimer Building Blocks: A Porous MOF with Soc Topology and High Hydrogen Storage. Angew. Chem. 2007, 119 (18), 3342–3347. 10.1002/ange.200604306. [DOI] [PubMed] [Google Scholar]
  12. Connolly B. M.; Aragones-Anglada M.; Gandara-Loe J.; Danaf N. A.; Lamb D. C.; Mehta J. P.; Vulpe D.; Wuttke S.; Silvestre-Albero J.; Moghadam P. Z.; Wheatley A. E. H.; Fairen-Jimenez D. Tuning Porosity in Macroscopic Monolithic Metal-Organic Frameworks for Exceptional Natural Gas Storage. Nat. Commun. 2019, 10 (1), 1–11. 10.1038/s41467-019-10185-1. [DOI] [PMC free article] [PubMed] [Google Scholar]
  13. Tsivadze A. Y.; Aksyutin O. E.; Ishkov A. G.; Knyazeva M. K.; Solovtsova O. V.; Men’shchikov I. E.; Fomkin A. A.; Shkolin A. V.; Khozina E. V.; Grachev V. A. Metal-Organic Framework Structures: Adsorbents for Natural Gas Storage. Russ. Chem. Rev. 2019, 88 (9), 925–978. 10.1070/RCR4873. [DOI] [Google Scholar]
  14. Ding M.; Flaig R. W.; Jiang H. L.; Yaghi O. M. Carbon Capture and Conversion Using Metal-Organic Frameworks and MOF-Based Materials. Chem. Soc. Rev. 2019, 48, 2783–2828. 10.1039/C8CS00829A. [DOI] [PubMed] [Google Scholar]
  15. Dinakar B.; Forse A. C.; Jiang H. Z. H.; Zhu Z.; Lee J. H.; Kim E. J.; Parker S. T.; Pollak C. J.; Siegelman R. L.; Milner P. J.; Reimer J. A.; Long J. R. Overcoming Metastable CO2Adsorption in a Bulky Diamine-Appended Metal-Organic Framework. J. Am. Chem. Soc. 2021, 143 (37), 15258–15270. 10.1021/jacs.1c06434. [DOI] [PMC free article] [PubMed] [Google Scholar]
  16. Li H.; Wang K.; Sun Y.; Lollar C. T.; Li J.; Zhou H. C. Recent Advances in Gas Storage and Separation Using Metal–Organic Frameworks. Mater. Today 2018, 21 (2), 108–121. 10.1016/j.mattod.2017.07.006. [DOI] [Google Scholar]
  17. Katz M. J.; Howarth A. J.; Moghadam P. Z.; DeCoste J. B.; Snurr R. Q.; Hupp J. T.; Farha O. K. High Volumetric Uptake of Ammonia Using Cu-MOF-74/Cu-CPO-27. Dalt. Trans. 2016, 45 (10), 4150–4153. 10.1039/C5DT03436A. [DOI] [PubMed] [Google Scholar]
  18. Henkelis S. E.; Vornholt S. M.; Cordes D. B.; Slawin A. M. Z.; Wheatley P. S.; Morris R. E. A Single Crystal Study of CPO-27 and UTSA-74 for Nitric Oxide Storage and Release. CrystEngComm 2019, 21 (12), 1857–1861. 10.1039/C9CE00098D. [DOI] [Google Scholar]
  19. Tranchemontagne D. J.; Hunt J. R.; Yaghi O. M. Room Temperature Synthesis of Metal-Organic Frameworks: MOF-5, MOF-74, MOF-177, MOF-199, and IRMOF-0. Tetrahedron 2008, 64 (36), 8553–8557. 10.1016/j.tet.2008.06.036. [DOI] [Google Scholar]
  20. Henkelis S. E.; Judge P. T.; Hayes S. E.; Nenoff T. M. Preferential SOxAdsorption in Mg-MOF-74 from a Humid Acid Gas Stream. ACS Appl. Mater. Interfaces 2021, 13 (6), 7278–7284. 10.1021/acsami.0c21298. [DOI] [PubMed] [Google Scholar]
  21. Tan K.; Zuluaga S.; Wang H.; Canepa P.; Soliman K.; Cure J.; Li J.; Thonhauser T.; Chabal Y. J. Interaction of Acid Gases SO2 and NO2 with Coordinatively Unsaturated Metal Organic Frameworks: M-MOF-74 (M = Zn, Mg, Ni, Co). Chem. Mater. 2017, 29 (10), 4227–4235. 10.1021/acs.chemmater.7b00005. [DOI] [Google Scholar]
  22. Lee K.; Howe J. D.; Lin L. C.; Smit B.; Neaton J. B. Small-Molecule Adsorption in Open-Site Metal-Organic Frameworks: A Systematic Density Functional Theory Study for Rational Design. Chem. Mater. 2015, 27 (3), 668–678. 10.1021/cm502760q. [DOI] [Google Scholar]
  23. Yu K.; Kiesling K.; Schmidt J. R. Trace Flue Gas Contaminants Poison Coordinatively Unsaturated Metal-Organic Frameworks: Implications for CO2 Adsorption and Separation. J. Phys. Chem. C 2012, 116 (38), 20480–20488. 10.1021/jp307894e. [DOI] [Google Scholar]
  24. Alonso G.; Bahamon D.; Keshavarz F.; Giménez X.; Gamallo P.; Sayós R. Density Functional Theory-Based Adsorption Isotherms for Pure and Flue Gas Mixtures on Mg-MOF-74. Application in CO2 Capture Swing Adsorption Processes. J. Phys. Chem. C 2018, 122 (7), 3945–3957. 10.1021/acs.jpcc.8b00938. [DOI] [Google Scholar]
  25. Ding L.; Yazaydin A. Ö. How Well Do Metal-Organic Frameworks Tolerate Flue Gas Impurities?. J. Phys. Chem. C 2012, 116 (43), 22987–22991. 10.1021/jp308717y. [DOI] [Google Scholar]
  26. Walton I.; Chen C.; Rimsza J. M.; Nenoff T. M.; Walton K. S. Enhanced Sulfur Dioxide Adsorption in UiO-66 through Crystal Engineering and Chalcogen Bonding. Cryst. Growth Des. 2020, 20 (9), 6139–6146. 10.1021/acs.cgd.0c00846. [DOI] [Google Scholar]
  27. Parker S. T.; Smith A.; Forse A. C.; Liao W. C.; Brown-Altvater F.; Siegelman R. L.; Kim E. J.; Zill N. A.; Zhang W.; Neaton J. B.; Reimer J. A.; Long J. R. Evaluation of the Stability of Diamine-Appended Mg2(Dobpdc) Frameworks to Sulfur Dioxide. J. Am. Chem. Soc. 2022, 144 (43), 19849–19860. 10.1021/jacs.2c07498. [DOI] [PubMed] [Google Scholar]
  28. Smith G. L.; Eyley J. E.; Han X.; Zhang X.; Li J.; Jacques N. M.; Godfrey H. G. W.; Argent S. P.; McCormick McPherson L. J.; Teat S. J.; Cheng Y.; Frogley M. D.; Cinque G.; Day S. J.; Tang C. C.; Easun T. L.; Rudić S.; Ramirez-Cuesta A. J.; Yang S.; Schröder M. Reversible Coordinative Binding and Separation of Sulfur Dioxide in a Robust Metal–Organic Framework with Open Copper Sites. Nat. Mater. 2019, 18 (12), 1358–1365. 10.1038/s41563-019-0495-0. [DOI] [PubMed] [Google Scholar]
  29. Pandey H.; Wang H.; Feng L.; Wang K. Y.; Zhou H. C.; Li J.; Thonhauser T.; Tan K. Revisiting Competitive Adsorption of Small Molecules in the Metal-Organic Framework Ni-MOF-74. Inorg. Chem. 2023, 62 (2), 950–956. 10.1021/acs.inorgchem.2c03751. [DOI] [PubMed] [Google Scholar]
  30. Tan K.; Zuluaga S.; Gong Q.; Gao Y.; Nijem N.; Li J.; Thonhauser T.; Chabal Y. J. Competitive Coadsorption of CO2 with H2O, NH3, SO2, NO, NO2, N2, O2, and CH4 in M-MOF-74 (M = Mg, Co, Ni): The Role of Hydrogen Bonding. Chem. Mater. 2015, 27 (6), 2203–2217. 10.1021/acs.chemmater.5b00315. [DOI] [Google Scholar]
  31. Carrington E. J.; Vitórica-Yrezábal I. J.; Brammer L. Crystallographic Studies of Gas Sorption in Metal–Organic Frameworks. Acta Crystallogr., Sect. B: Struct. Sci., Cryst. Eng. Mater. 2014, 70 (3), 404–422. 10.1107/S2052520614009834. [DOI] [PMC free article] [PubMed] [Google Scholar]
  32. Johnson N. T.; Waddell P. G.; Clegg W.; Probert M. R. Remote Access Revolution: Chemical Crystallographers Enter a New Era at Diamond Light Source Beamline I19. Cryst. 2017, 7 (12), 360. 10.3390/cryst7120360. [DOI] [Google Scholar]
  33. Vornholt S. M.; Elliott C. G.; Rice C. M.; Russell S. E.; Kerr P. J.; Rainer D. N.; Mazur M.; Warren M. R.; Wheatley P. S.; Morris R. E. Controlled Synthesis of Large Single Crystals of Metal-Organic Framework CPO-27-Ni Prepared by a Modulation Approach: In Situ Single-Crystal X-Ray Diffraction Studies. Chem. – Eur. J. 2021, 27 (33), 8537–8546. 10.1002/chem.202100528. [DOI] [PMC free article] [PubMed] [Google Scholar]
  34. Main R. M.; Vornholt S. M.; Rice C. M.; Elliott C.; Russell S. E.; Kerr P. J.; Warren M. R.; Morris R. E. In Situ Single-Crystal Synchrotron X-Ray Diffraction Studies of Biologically Active Gases in Metal-Organic Frameworks. Commun. Chem. 2023, 6 (1), 1–7. 10.1038/s42004-023-00845-1. [DOI] [PMC free article] [PubMed] [Google Scholar]
  35. Brunet G.; Safin D. A.; Aghaji M. Z.; Robeyns K.; Korobkov I.; Woo T. K.; Murugesu M. Stepwise Crystallographic Visualization of Dynamic Guest Binding in a Nanoporous Framework. Chem. Sci. 2017, 8 (4), 3171–3177. 10.1039/C7SC00267J. [DOI] [PMC free article] [PubMed] [Google Scholar]
  36. Kapelewski M. T.; Geier S. J.; Hudson M. R.; Stück D.; Mason J. A.; Nelson J. N.; Xiao D. J.; Hulvey Z.; Gilmour E.; Fitzgerald S. A.; Head-Gordon M.; Brown C. M.; Long J. R. M2(m-Dobdc) (M = Mg, Mn, Fe, Co, Ni) Metal-Organic Frameworks Exhibiting Increased Charge Density and Enhanced H2 Binding at the Open Metal Sites. J. Am. Chem. Soc. 2014, 136 (34), 12119–12129. 10.1021/ja506230r. [DOI] [PubMed] [Google Scholar]
  37. Gillespie R. J.; Robinson E. A. The sulphur–oxygen bond in sulphuryl and thionyl compounds: correlation of stretching frequencies and force constants with bond lengths, bond angles, and bond orders. Can. J. Chem. 1963, 41 (8), 2074–2085. 10.1139/v63-299. [DOI] [Google Scholar]
  38. Abdirakhimov M.; Al-Rashed M. H.; Wójcik J. Recent Attempts on the Removal of H2S from Various Gas Mixtures Using Zeolites and Waste-Based Adsorbents. Energies 2022, 15 (15), 5391. 10.3390/en15155391. [DOI] [Google Scholar]
  39. Pato-Doldán B.; Rosnes M. H.; Dietzel P. D. C. An In-Depth Structural Study of the Carbon Dioxide Adsorption Process in the Porous Metal–Organic Frameworks CPO-27-M. ChemSusChem 2017, 10 (8), 1710–1719. 10.1002/cssc.201601752. [DOI] [PubMed] [Google Scholar]
  40. Brandt P.; Nuhnen A.; Lange M.; Möllmer J.; Weingart O.; Janiak C. Metal-Organic Frameworks with Potential Application for SO2 Separation and Flue Gas Desulfurization. ACS Appl. Mater. Interfaces 2019, 11 (19), 17350–17358. 10.1021/acsami.9b00029. [DOI] [PubMed] [Google Scholar]
  41. Saleh T. A. Adsorption Technology and Surface Science. Interface Sci. Technol. 2022, 34, 39–64. 10.1016/B978-0-12-849876-7.00006-3. [DOI] [Google Scholar]
  42. Zuluaga S.; Fuentes-Fernandez E. M. A.; Tan K.; Xu F.; Li J.; Chabal Y. J.; Thonhauser T. Understanding and Controlling Water Stability of MOF-74. J. Mater. Chem. A 2016, 4 (14), 5176–5183. 10.1039/C5TA10416E. [DOI] [Google Scholar]
  43. Voskanyan A. A.; Goncharov V. G.; Novendra N.; Guo X.; Navrotsky A. Thermodynamics Drives the Stability of the MOF-74 Family in Water. ACS Omega 2020, 5 (22), 13158–13163. 10.1021/acsomega.0c01189. [DOI] [PMC free article] [PubMed] [Google Scholar]
  44. Rieth A. J.; Wright A. M.; Dincă M. Kinetic Stability of Metal–Organic Frameworks for Corrosive and Coordinating Gas Capture. Nat. Rev. Mater. 2019, 4 (11), 708–725. 10.1038/s41578-019-0140-1. [DOI] [Google Scholar]
  45. Betteridge P. W.; Carruthers J. R.; Cooper R. I.; Prout K.; Watkin D. J. CRYSTALS Version 12: Software for Guided Crystal Structure Analysis. J. Appl. Crystallogr. 2003, 36 (6), 1487–1487. 10.1107/S0021889803021800. [DOI] [Google Scholar]
  46. Winter G. Xia2: An Expert System for Macromolecular Crystallography Data Reduction. J. Appl. Crystallogr. 2010, 43 (1), 186–190. 10.1107/S0021889809045701. [DOI] [Google Scholar]
  47. Winter G.; Waterman D. G.; Parkhurst J. M.; Brewster A. S.; Gildea R. J.; Gerstel M.; Fuentes-Montero L.; Vollmar M.; Michels-Clark T.; Young I. D.; Sauter N. K.; Evans G. DIALS: Implementation and Evaluation of a New Integration Package. Acta Crystallogr. Sect. D Struct. Biol. 2018, 74 (2), 85–97. 10.1107/S2059798317017235. [DOI] [PMC free article] [PubMed] [Google Scholar]
  48. Dolomanov O. V.; Bourhis L. J.; Gildea R. J.; Howard J. A. K.; Puschmann H. OLEX2: A Complete Structure Solution, Refinement and Analysis Program. J. Appl. Crystallogr. 2009, 42 (2), 339–341. 10.1107/S0021889808042726. [DOI] [Google Scholar]
  49. Sheldrick G. M. A Short History of SHELX. Acta Crystallogr. Sect. A Found. Crystallogr. 2008, 64 (1), 112–122. 10.1107/S0108767307043930. [DOI] [PubMed] [Google Scholar]
  50. Sheldrick G. M. Crystal Structure Refinement with SHELXL. Acta Crystallogr. Sect. C Struct. Chem. 2015, 71 (1), 3–8. 10.1107/S2053229614024218. [DOI] [PMC free article] [PubMed] [Google Scholar]
  51. Palmer D. C. Visualization and Analysis of Crystal Structures Using CrystalMaker Software. Z. Kristallogr. Cryst. Mater. 2015, 230, 559–572. 10.1515/zkri-2015-1869. [DOI] [Google Scholar]
  52. Pickard C. J.; Mauri F. All-Electron Magnetic Response with Pseudopotentials: NMR Chemical Shifts. Phys. Rev. B 2001, 63 (24), 245101 10.1103/PhysRevB.63.245101. [DOI] [Google Scholar]
  53. Perdew J. P.; Burke K.; Ernzerhof M. Generalized Gradient Approximation Made Simple. Phys. Rev. Lett. 1996, 77 (18), 3865. 10.1103/PhysRevLett.77.3865. [DOI] [PubMed] [Google Scholar]
  54. Tkatchenko A.; Scheffler M. Accurate Molecular van Der Waals Interactions from Ground-State Electron Density and Free-Atom Reference Data. Phys. Rev. Lett. 2009, 102 (7), 073005 10.1103/PhysRevLett.102.073005. [DOI] [PubMed] [Google Scholar]
  55. Vanderbilt D. Soft Self-Consistent Pseudopotentials in a Generalized Eigenvalue Formalism. Phys. Rev. B 1990, 41 (11), 7892. 10.1103/PhysRevB.41.7892. [DOI] [PubMed] [Google Scholar]
  56. Yates J. R.; Pickard C. J.; Payne M. C.; Mauri F. Relativistic Nuclear Magnetic Resonance Chemical Shifts of Heavy Nuclei with Pseudopotentials and the Zeroth-Order Regular Approximation. J. Chem. Phys. 2003, 118 (13), 5746–5753. 10.1063/1.1541625. [DOI] [Google Scholar]
  57. Monkhorst H. J.; Pack J. D. Special Points for Brillouin-Zone Integrations. Phys. Rev. B 1976, 13 (12), 5188. 10.1103/PhysRevB.13.5188. [DOI] [Google Scholar]

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