## Introduction

Metal–organic frameworks are modular, crystalline porous materials composed of inorganic nodes bridged by multitopic organic linkers, and have been widely explored for the selective capture and storage of small molecules1,2,3. Adsorption in these materials is most commonly characterized by a Type I isotherm profile, with large and energetically-costly pressure or temperature swings generally required to achieve high cycling capacities (Fig. 1a)4,5,6,7. Alternatively, flexible and pore-gating adsorbents with Type V adsorption profiles (Fig. 1b) can increase the energy efficiency of cycling through access to large cyclic capacities with small changes in pressure or temperature8,9,10,11. Additionally, this favorable Type V adsorption profile has recently been reported in metal–organic frameworks that chemically bind small molecules in a cooperative fashion, showing minimal guest uptake below a temperature-dependent threshold pressure, followed by a sudden and sharp rise, or step, in adsorption12,13.

By appending alkylethylenediamines to the metal sites lining the one-dimensional hexagonal channels of the metal–organic frameworks M2(dobpdc) (M = Mg, Mn, Fe, Co, Zn; dobpdc4- = 4,4′-dioxidobiphenyl-3,3′-dicarboxylate; Fig. 2a), we recently discovered the first example of a material displaying cooperative adsorption via a unique, chain-forming mechanism12. In these materials, at a specific threshold pressure CO2 inserts into the metal–amine bonds, a process that is coupled with proton transfer to induce the formation of one-dimensional ammonium carbamate chains running along the corners of the hexagonal channels of the framework. This reactive mechanism imbues diamine-appended M2(dobpdc) with a chemical specificity often not displayed in other materials with Type V adsorption profiles9,14,15. The resulting electrostatic, covalent, and dative interactions within these chains can be disrupted with relatively small temperature and/or pressure swings, returning free CO2 and the native diamine-appended framework. In the adsorption isotherm, this mechanism manifests as sharp, temperature dependent adsorption/desorption steps that can be controlled by varying the constituent metal and/or diamine species12,16. The chemical tunability and energy efficient cycling possible with these materials have prompted the development of adsorbents tailored specifically for the low-energy capture of CO2 from flue gas streams16,17.

Despite the practical advantages, thus far all investigations of this cooperative chemical adsorption process have been limited to CO212,16,17, and it is therefore of interest to evaluate the applicability of this mechanism to other relevant adsorbates. In determining viable candidate adsorbates, three necessary properties were identified. Considering the mechanism of CO2 uptake, it is clear that other viable adsorbates must (i) possess a dipole or quadrupole moment that promotes insertion into metal–amine bonds, (ii) form a coordinatively stable, Brønsted acidic species upon insertion that is capable of electrostatic pairing, and (iii) form bonds with the amine and metal that are relatively labile to allow reversible adsorption under mild conditions. Specifically, Brønsted acidity upon insertion is critical to allow proton transfer to the proximal amine and the resultant formation of electrostatic pairs, yielding site-to-site communication and a cooperative, chemically specific adsorption process. Given existing precedent for dithiocarbamate formation and direct insertion into metal–amine bonds18,19, the commodity chemical carbon disulfide (CS2) was identified as a promising candidate to assess the generalizability of this cooperative adsorption mechanism (Fig. 2b).

Over one million tons of CS2 are produced annually for use as a non-polar solvent, a C1 synthon, and, most prodigiously, as a processing reagent in the production of viscose rayon and cellophane20. Yet this large-scale production presents a number of hazards, namely the volatility and flammability of CS2, the well-documented links to the production of acid rain, and, not least of all, cardiovascular and neurological disease in factory workers21,22,23. Despite these environmental and biological considerations, the development of porous adsorbents for the capture of CS2 has been nearly unexplored to date24,25,26. We therefore sought to investigate whether diamine-appended M2(dobpdc) framework materials could cooperatively and reversibly adsorb this highly toxic commodity chemical. Herein, we present detailed characterization of CS2 adsorption in the N,N-dimethylethylenediamine-appended forms of M2(dobpdc) (M = Mg, Mn, Zn) via diffraction, spectroscopy, and gas adsorption-based techniques, including crystallographic evidence of a dithiocarbamate coordination mode that is, to our knowledge, without precedent.

## Results

### Synthesis and Characterization

Microcrystalline powders of M2(dobpdc) (M = Mg, Mn, Zn) were prepared and characterized according to previously published procedures (see Large Scale Synthesis of M2(dobpdc) (M = Mg, Mn, Zn) in Methods section, Supplementary Figures 15, 33–34)16,17. The methanol-solvated frameworks were grafted with the 1°/3° diamine N,N-dimethylethylenediamine (mm-2), and the extent of the mm-2 loading, framework stability, and framework porosity were evaluated (Supplementary Figures 69, 15–23). The diamine mm-2 was selected due to the preferential binding of the primary amine to the metal, as determined by single-crystal X-ray diffraction16, which obviates undesirable non-cooperative adsorption pathways due to the inability of the tertiary amine to react with CS227.

Isotherm data collected at 25 °C for mm-2–Mn2(dobpdc) and mm-2–Zn2(dobpdc) exhibit similar step-shaped adsorption profiles with slightly lower threshold pressures of 0.5 and 2 mbar, respectively (Fig. 3c; Supplementary Figures 2930). The lower CS2 threshold pressures are in stark contrast to those observed for CO2 adsorption, in which the lower oxophilicity and higher octahedral metal complex stability of the first-row transition metals contributes to considerably higher step pressures12,29. Since thiophilicity trends inversely with oxophilicity30, the observed threshold pressure relationship of Mn < Zn ≤ Mg for CS2 adsorption implicates the formation of M–S bonds in the adsorption mechanism. The overall similar threshold pressures are an apparent culmination of the competition between octahedral complex stability (Mg < Mn < Zn) and thiophilicity (Mg < Mn < Zn) trends. A pronounced hysteresis is observed for all three frameworks upon desorption at 25 °C (Fig. 3c). At the lower pressure limit of 1 mbar, substantial CS2 remains adsorbed within the materials, coinciding closely to the expected capacities of 4.00, 3.57, and 3.44 mmol g–1 (2.0 mol mol–1) for one CS2 molecule adsorbed per diamine in the Mg, Mn, and Zn phases, respectively (Supplementary Figure 29). Thus, at 25 °C, the full adsorption capacity of these materials is appreciably higher than 1:1 CS2:diamine. Accordingly, we hypothesized that intrapore condensation occurs along with chemisorption, as will be described in greater detail below. Of note, no similar phenomenon is observed during CO2 adsorption under similar conditions.

Infrared spectroscopy was employed to probe the nature and persistence of the species formed upon CS2 adsorption. Bands centered at 1085–1089 and 953–955 cm−1 arising from C–S vibrations of a dithiocarbamate species were observed for all three frameworks (Supplementary Methods; Supplementary Figures 3537)19,31 and exhibited no apparent change in intensity after 16 h under dynamic vacuum (~0.13 mbar) at 25 °C. No appreciable difference in band position was observed when CS2 exposure was conducted using a gas adsorption instrument or through vapor exposure in open atmosphere. Moreover, these bands are fully evident in framework pre-saturated with water, supporting that moisture does not preclude this adsorption process (Supplementary Methods; Supplementary Figure 82). In contrast, bands evident of CS2 adsorption in unfunctionalized Mg2(dobpdc) are dramatically reduced upon pre-saturation with water, as expected for adsorption in an open metal-site framework (Supplementary Figure 83)32. While the irreversible binding at ambient temperature is useful for preventing leaching of toxic CS2, regenerable adsorbents are desirable to enable material recyclability. Importantly, after 15 min under reduced pressure (~ 0.13 mbar) at 100 °C, dithiocarbamate vibrations were completely lost from CS2-exposed mm-2–Mg2(dobpdc) (Supplementary Figure 35), and a similar effect was seen for the Mn framework (Supplementary Figure 36). In contrast, the C–S vibrations for the Zn analog persisted, even upon heating as high as 150 °C (Supplementary Figure 37), signaling irreversible chemisorption through a strong Zn–S bond for the most thiophilic metal in the series30.

The step-shaped adsorption profile, thermal sensitivity, and reversibility of CS2 adsorption in mm-2–Mg2(dobpdc) promotes a usable capacity of ~6.8 mmol g–1 (52 wt %, 1.7 mol amine–1) with a 65 °C temperature swing between 35 and 100 °C under 75 mbar of CS2. Under 300 mbar of CS2, a temperature swing between 25 and 120 °C yields a calculated usable capacity of 7.4 mmol g–1. This represents release of almost the entire adsorption capacity under these conditions with mild thermal input. Following ten adsorption–desorption cycles (Supplementary Methods; adsorption at 35 °C and 75 mbar, and desorption at 100 °C and 75 mbar; Fig. 3d), no apparent change was observed in the capacity or integrity of mm-2–Mg2(dobpdc), as confirmed by 1H NMR spectroscopy and powder X-ray diffraction (Supplementary Figures 4748). As a representation of a process in which CS2 is desorbed under a higher pressure of CS2, a working capacity of ~6.3 mmol g–1was calculated for adsorption at 35 °C under 75 mbar CS2 and desorption at 120 °C under 300 mbar CS2 (the highest measurable pressure herein). The adsorption behavior of mm-2–Mg2(dobpdc) affords advantages over recently-reported ion-exchanged zeolites, which exhibit a CS2 capacity of ~0.6 mmol g–1 at 25 °C in breakthrough experiments with N2 as the carrier gas under atmospheric pressure, and require regeneration at 400 °C34.

### X-ray Diffraction Studies

To elucidate the origin of the observed step-shaped CS2 adsorption profiles, we turned to X-ray diffraction. Single crystals of mm-2–Zn2(dobpdc) exposed to CS2 vapor ex situ undergo a single-crystal-to-single-crystal transformation in which CS2 inserts into the Zn–N bonds (Fig. 4; Supplementary Methods; Supplementary Table 1). Proton transfer from the metal-bound primary amine to the tertiary amine of a neighboring mm-2 group generates an ion-paired ammonium species that propagates down the framework channels as extended ammonium dithiocarbamate chains, the apparent source of the observed step-shaped isotherms. Although the vast majority of dithiocarbamates form strong-field bidentate ligands upon CS2 insertion into metal–amine bonds in molecular complexes19,31, the robust coordination geometry of Zn2(dobpdc) prevents further ligand displacement, notably forcing the dithiocarbamate into a hydrogen-bonded κ1 mode, which is to the best of our knowledge a crystallographically unprecedented binding motif, exhibiting the longest reported Zn–S bond distance (2.4830(12) Å) for a monodentate dithiocarbamate19,35,36,37,38. This bond length strongly suggests that the anionic character of the dithiocarbamate is considerably delocalized across the moiety, rather than primarily localized on the metal-bound sulfur, in stark contrast to monodentate molecular analogs35,36,37.

Two coexisting ammonium dithiocarbamate conformations were observed (Fig. 4b, c). In the major conformation (Fig. 4b), the dithiocarbamate proton forms a hydrogen bond with a bridging phenoxide oxygen atom of the ligand (N···O = 3.004(10) Å). In the minor conformation (Fig. 4c), the dithiocarbamate proton participates in a stronger hydrogen-bonding interaction with the non-bridging carboxylate oxygen atom of the ligand (N···O = 2.815(9) Å), which has been identified as a preferential secondary binding site in previous crystallographic studies16,17,39. Despite this additional stabilization, adjacent chains of this mode appear to overlap in the ab plane (Fig. 4c, top). This physical impossibility implies that neighboring chains in the ab plane exhibit different or alternating conformations, with possible alternation of conformations down the c axis as well. However, owing to the averaging nature of SCXRD and preservation of symmetry upon CS2 adsorption, the relative orientation of each conformation cannot be determined definitively directly from the diffraction data. Space-filling models of the two chain conformations (Supplementary Figure 49) demonstrate that significant porosity remains after CS2 insertion, providing space for additional physisorption. Intriguingly, the CS2 hydrolysis mechanism of the metalloenzyme CS2 hydrolase isolated from Acidianus A1-3 is postulated to occur through a similar monodentate mode upon insertion into a Zn-ligand bond40.

Because single crystals of the Mg and Mn analogs of the metal–organic framework could not be realized, synchrotron powder X-ray diffraction patterns of polycrystalline powders of mm-2–Mg2(dobpdc) and mm-2–Mn2(dobpdc) exposed to 50 mbar of CS2 at 25 °C were collected at the Advanced Photon Source (Supplementary Methods; Supplementary Figures 5051). Starting from the Zn single-crystal structural model, Rietveld refinement confirmed ammonium dithiocarbamate chain formation in both frameworks, affording the first crystallographic evidence of a monodentate Mg–dithiocarbamate structure, and only the second such structure for Mn41. The single-crystal and powder X-ray diffraction analyses yield structural models that support an adsorptive process consisting of CS2 insertion, proton transfer, and one-dimensional chain formation for all three studied mm-2–M2(dobpdc) frameworks. Due to the unique reversibility of CS2 adsorption for mm-2–Mg2(dobpdc), this material was selected for further spectroscopic studies to corroborate the crystallographically observed insertion mechanism.

### Spectroscopy Studies

To probe the mechanism of CS2 adsorption in mm-2–Mg2(dobpdc) in greater detail, in situ diffuse reflectance FT–IR spectra were measured under a pure CS2 atmosphere equal to the vapor pressure at 25 °C (~ 480 mbar; Supplementary Methods). Upon CS2 exposure, two distinct dithiocarbamate C–S resonances are observed at 961 and 949 cm−1, which are coupled with the appearance of two resonances at 1343 and 1318 cm−1 corresponding to dithiocarbamate C–N single bond vibrations (Fig. 5a). The existence of two discrete resonances for both vibrations suggests the presence of two separate dithiocarbamate structures, in agreement with the two conformations observed via single-crystal X-ray diffraction characterization of CS2-dosed mm-2–Zn2(dobpdc). These assignments are also supported by density functional theory (DFT) calculations (Supplementary Figures 5667)19,31. Furthermore, the presence of ion-paired ammonium dithiocarbamate chains is supported by a broad resonance at ~2800–1700 cm−1, which arises from N–H vibrations of the ion-paired ammonium species (Supplementary Figure 52). In addition to ammonium dithiocarbamate chain formation, significant CS2 condensation is apparent from bands at 2302 and 2164 cm–1 (Supplementary Figure 53) 42. While no chemisorption resonances were observed upon CS2 adsorption in isopentylamine-Mg2(dobpdc) under identical conditions (Fig. 5a), vibrations arising from condensation were found at 2305 and 2165 cm−1 (Supplementary Figure 53). Importantly, resonances resulting from condensed CS2 are not observed in the control spectra collected in the absence of the framework (Supplementary Figure 53), indicating that condensation is indeed occurring within the material. For mm-2–Mg2(dobpdc), resonances belonging to condensed CS2 disappeared upon evacuation of the cell, while those arising from the chemisorbed chains remain indefinitely, correlating with hysteretic behavior observed for isothermal adsorption and desorption at 25 °C (Supplementary Figures 5455). Therefore, as no other discernable CS2-derived species were detected, simultaneous ion-paired chain formation and intra-pore condensation is likely responsible for the higher than expected equilibrium adsorption capacities in the mm-2 appended frameworks (Fig. 3a–c).

To further confirm the structural similarities between the product of reversible CS2 adsorption in mm-2–Mg2(dobpdc) and irreversible adsorption in the Zn analog, in situ near-edge X-ray absorption fine structure (NEXAFS) spectroscopy experiments at the nitrogen K-edge were performed on both materials (Supplementary Methods). All spectroscopic changes were qualitatively reproduced in DFT-computed spectra (Supplementary Methods; Supplementary Table 2; Supplementary Figures 6871). Upon CS2 dosing, a new pre-edge feature is observed experimentally at 399.8 eV for both frameworks, originating from the nitrogen of a monodentate dithiocarbamate (Fig. 5b). This low energy feature arises from excitation of a core 1 s electron from the trigonal planar nitrogen into the unoccupied π* dithiocarbamate orbital (Supplementary Figures 7273; for comparison, CO2 insertion and carbamate formation in N,N′-dimethylethylenediamine–Mg2(dobpdc) resulted in a pre-edge feature arising at 402.3 eV12, likely due to stronger π-bonding in the carbamate that leads to a greater degree of π–π* splitting and the higher 1 s→π* transition energy in the NEXAFS spectrum). An ~0.8 eV blueshift of the main-edge feature at 405 eV is also observed for both frameworks, indicative of ammonium formation. Signatures of a new, broad feature in the 410–418 eV range are also evident due to the new C–N bond of the dithiocarbamate. Ex situ NEXAFS data collected at the sulfur K-edge for both frameworks likewise shows strong agreement with predicted spectra for ammonium dithiocarbamate chain formation, with a low energy pre-edge feature again observed and ascribed to coupling to the π* system of the dithiocarbamate (Supplementary Figures 7481). Similar changes are observed in the calculated and experimental nitrogen and sulfur K-edge spectra for mm-2–Mg2(dobpdc) and mm-2–Zn2(dobpdc) upon CS2 adsorption, offering further support that ion-paired chain formation upon insertion, as observed in the single-crystal X-ray diffraction structure of mm-2–Zn2(dobpdc), is indeed responsible for the cooperative and reversible adsorption of CS2 in mm-2–Mg2(dobpdc).

## Discussion

Taken together, the foregoing suite of diffraction, computation, and spectroscopic data unambiguously identifies ammonium dithiocarbamate chain formation as the origin of cooperative adsorption of the toxic commodity chemical CS2 in mm-2–M2(dobpdc) (M = Mg, Mn, Zn). Notably, this work represents the extension of a chemisorption process hitherto wholly specific to CO212,16. In contrast to CO2 insertion, CS2 insertion is reversible only for the Mg congener, whereas irreversible adsorption or deleterious thermolysis occurs for the Mn and Zn analogs. Clean, reversible binding of CS2 in mm-2–Mg2(dobpdc) under mild conditions is rather surprising, given the high thermal stability of most reported dithiocarbamate complexes19,31, and arises from the combination of a weakly thiophilic metal, a rigid square pyramidal coordination geometry enforced by the framework, and ion-pairing with a proximal ammonium cation. The effects of ion-pairing are particularly intriguing, causing reduced charge density on the coordinated sulfur and thus a weakening of the metal–sulfur bond. This result highlights the necessity of both the primary and secondary coordination environments imposed by mm-2–Mg2(dobpdc) in differentiating the resulting dithiocarbamate binding mode from those of irreversibly coordinated molecular dithiocarbamate complexes. Moving forward, this work should serve as a guideline for the exploration of cooperative chemical adsorption of other small molecules in metal–organic frameworks.

## Methods

### General synthesis and characterization methods

4,4′-dihydroxy-(1,1′-biphenyl)-3,3′-dicarboxylic acid (H4dobpdc) was purchased from Hangzhou Trylead Chemical Technology Co. and used without further purification. All other reagents and solvents were obtained from commercial suppliers at reagent grade purity or higher and were used without further purification. Ultrahigh purity (99.999%) He and N2 and research grade (99.998%) CO2 were used for all adsorption experiments.

### Surface area measurements

Langmuir and BET surface area measurements were performing using a Micromeritics ASAP 2420 instrument. In a typical measurement, 50–200 mg of powder was transferred to a pre-weighed glass measurement tube under a N2 atmosphere and capped with a Micromeritics TranSeal. The sample was then degassed on the adsorption instrument at the specified activation temperature for 16 hours (outgas rate was less than 3 µbar min–1). The evacuated tube was then weighed to determine the mass of the degassed sample. The sample was then fitted with an isothermal jacket and transferred to the analysis port of the adsorption instrument, where the outgas rate was again confirmed to fall below 3 µbar min–1. The Langmuir and BET surface areas were measured in a 77 K liquid N2 bath and calculated using the Micromeritics software with a cross-sectional area of 16.2 Å for N2. Argon isotherms were similarly measured using an 87 K liquid argon bath. Pore Size distribution was estimated from 87 K Ar isotherms using non-local density functional theory (NLDFT) implementing a hybrid kernel for Ar adsorption at 87 K based on a zeolite/silica model containing cylindrical pores, as previously described for this family of materials.

### CO2 isothermal adsorption measurements

Measurements were performing using a Micromeritics ASAP 2420 instrument. In a typical measurement, 50–200 mg of powder was transferred to a pre-weighed glass measurement tube under a N2 atmosphere and capped with a Micromeritics TranSeal. The sample was then degassed on the adsorption instrument at the specified activation temperature for 16 h (outgas rate was less than 3 µbar min–1). The evacuated tube was then weighed to determine the mass of the degassed sample. The sample was then transferred to the analysis port of the adsorption instrument, where the outgas rate was again confirmed to fall below 3 µbar min–1. Isotherms at 25 °C were collected in a water bath. Isotherms at 0 °C were collected in an ice bath.

### Laboratory powder X-ray diffraction

Laboratory powder X-ray diffraction patterns were collected using a Bruker AXS D8 Advance diffractometer with Cu Kα radiation (λ = 1.5418 Å), a Göbel mirror, and a Lynxeye linear position-sensitive detector, and the following optics: fixed divergence slit (0.6 mm), receiving slit (3 mm), and secondary-beam Soller slits (2.5°). Generator settings were 40 kV and 40 mA. All powder X-ray diffraction patterns were collected at room temperature in air.

### 1H NMR spectroscopy of digested metal–organic frameworks

To analyze amine loading, ~10 mg of amine-functionalized M2(dobpdc) (M = Mg, Zn) powder was digested in a solution of 0.1 mL of 35 wt. % DCl in D2O and 0.6 mL of DMSO-d6. 1H NMR spectra were acquired on Bruker AV-300, ABV-400, or AVQ-400 instruments at the University of California, Berkeley NMR facility. Amine loadings were determined from the ratios of the integrated diamine resonances to those of the H4dobpdc ligand.

### Large scale synthesis of M2(dobpdc) (M = Mg, Mn, Zn) Mg2(dobpdc)

An Erlenmeyer flask was charged with Mg(NO3)2·6H2O (5.75 g, 22.5 mmol, 1.24 eq.), 4,4′-dihydroxy-[1,1′-biphenyl]-3,3′-dicarboxylic acid (H4dobpdc; 4.95 g, 18.0 mmol, 1.00 eq.), N,N-dimethylformamide (45 mL), and methanol (55 mL). The mixture was sonicated until all of the solids dissolved. The mixture was filtered through filter paper into a 300 mL screw-cap high-pressure reaction vessel equipped with a stir bar. The reaction mixture was sparged with N2 for 1 h. The reaction vessel was sealed, and the reaction mixture was allowed to stir slowly at 120 °C for 14 h, resulting in precipitation of a white solid from solution. The non-homogenous mixture was filtered, and the solid was quickly transferred to a Pyrex jar filled with N,N-dimethylformamide (250 mL). The jar was placed in an oven heated to 60 °C and allowed to stand for at least 3 h, at which time the jar was cooled to room temperature and the solvent was decanted and replaced with fresh N,N-dimethylformamide (250 mL). The jar was reheated to 60 °C, and this washing process was repeated a total of three times. Next, the N,N-dimethylformamide was replaced with methanol (250 mL), and the washing process was repeated an additional three times using methanol. A small portion of the solid was removed and placed in a vial under flowing N2. The solid was activated under flowing N2 at 250 °C for 24 h, transferred to a glass adsorption tube equipped with a Micromeritics TransSeal, and activated for an additional 24 h under high vacuum ( < 10 μbar) at 250 °C. Activated Mg2(dobpdc) was obtained as a white solid. Langmuir surface area (77 K, N2): 4130 m2 g–1. BET surface area (77 K, N2): 3250 m2 g–1.

### Mn2(dobpdc)

An Erlenmeyer flask was charged with MnCl2·4H2O (990 mg, 5.00 mmol, 2.50 eq.), 4,4′-dihydroxy-[1,1′-biphenyl]-3,3′-dicarboxylic acid (H4dobpdc; 548 mg, 2.00 mmol, 1.00 eq.), N,N-dimethylformamide (100 mL), and ethanol (100 mL). The mixture was sonicated until all of the solids dissolved. The mixture was filtered through filter paper into a 300 mL screw-cap high-pressure reaction vessel equipped with a stir bar. The reaction mixture was sparged with N2 for 1 h. The reaction vessel was sealed, and the reaction mixture was allowed to stir slowly at 120 °C for 14 h, resulting in precipitation of a pale-yellow solid from solution. The non-homogenous mixture was filtered, and the solid was quickly transferred to a Pyrex jar filled with N,N-dimethylformamide (250 mL). The jar was placed in an oven heated to 60 °C and allowed to stand for at least 3 h, at which time the jar was cooled to room temperature and the solvent was decanted and replaced with fresh N,N-dimethylformamide (250 mL). The jar was reheated to 60 °C, and this washing process was repeated a total of three times. Next, the N,N-dimethylformamide was replaced with methanol (250 mL), and the washing process was repeated an additional three times using methanol. A small portion of the solid was removed and placed in a vial under flowing N2. The solid was activated under flowing N2 at 250 °C for 24 h, transferred to a glass adsorption tube equipped with a Micromeritics TransSeal, and activated for an additional 24 h under high vacuum ( < 10 μbar) at 250 °C. Activated Mn2(dobpdc) was obtained as a pale yellow solid. Langmuir surface area (77 K, N2): 3500 m2 g–1. BET surface area (77 K, N2): 2410 m2 g–1.

### Zn2(dobpdc)

A Schlenk flask equipped with a stir bar was charged with ZnBr2·2H2O (8.35 g, 32.0 mmol, 3.20 eq.), 4,4′-dihydroxy-[1,1′-biphenyl]-3,3′-dicarboxylic acid (H4dobpdc; 2.74 g, 10.0 mmol, 1.00 eq.), fresh N,N-dimethylformamide (250 mL), and ethanol (250 mL). The mixture was stirred under N2 until all of the solids dissolved. The mixture was sparged with N2 for 1 h. The Schlenk flask was sealed under positive N2 pressure and placed in an oil bath that had been preheated to 120 °C and allowed to stir at this temperature for 14 h, resulting in precipitation of an off-white solid from solution. The reaction mixture was cooled to room temperature and the solid was allowed to settle. The solvent was carefully removed by cannulation under N2 and replaced with fresh, degassed N,N-dimethylformamide (200 mL). The mixture was allowed to stand for at least 24 h, at which time the Schlenk flask was cooled to room temperature, the solid was allowed to settle, and the solvent was removed by cannulation and replaced with fresh, degassed N,N-dimethylformamide (200 mL). The flask was reheated to 60 °C, and this washing process was repeated a total of three times. Next, the N,N-dimethylformamide was replaced with degassed methanol (200 mL), and the washing process was repeated an additional three times using methanol. The solvent was removed under high vacuum at 250 °C in the Schlenk flask. The flask was transferred to a N2-filled glovebox, and the solid was transferred to a glass adsorption tube equipped with a Micromeritics TransSeal. The sample was activated for an additional 24 h under high vacuum ( < 10 μbar) at 250 °C to yield Zn2(dobpdc) as an off-white solid. Langmuir surface area (77 K, N2): 2770 m2 g–1. BET surface area (77 K, N2): 2150 m2 g–1.

### Synthesis of mm-2–Mg2(dobpdc)

A 20 mL scintillation vial was charged with 10 mL of toluene and 3 mL of mm-2 (N,N-dimethylethylenediamine, purchased from Sigma–Aldrich). Methanol-solvated Mg2(dobpdc) (100 mg) was filtered and washed with successive aliquots of toluene (2 × 10 mL). Note: Mg2(dobpdc) should not be allowed to dry completely as this can in some cases lead to decomposition of the framework. Next, Mg2(dobpdc) was added to the mm-2/toluene solution, and the vial was swirled several times and allowed to stand at room temperature for 24 h. The mixture was then filtered, and the resulting powder was thoroughly washed with toluene (3 × 20 mL) and allowed to dry on the filter paper for 2 min. The isolated powder was activated at 100 °C for 2 h under flowing N2 to remove excess mm-2 and toluene from the pores. 1H NMR spectroscopy of the digested material confirmed the loading of mm-2 to be ~100% (Supplementary Figure 6).

### Synthesis of isopentylamine–Mg2(dobpdc)

A 20 mL scintillation vial was charged with 10 mL of toluene and 3 mL of isopentylamine (purchased from Sigma–Aldrich). Methanol-solvated Mg2(dobpdc) (100 mg) was filtered and washed with successive aliquots of toluene (2 × 10 mL). Note: Mg2(dobpdc) should not be allowed to dry completely as this can in some cases lead to decomposition of the framework. Next, Mg2(dobpdc) was added to the isopentylamine/toluene solution, and the vial was swirled several times and allowed to stand at room temperature for 24 h. The mixture was then filtered, and the resulting powder was thoroughly washed with toluene (3 × 20 mL) and allowed to dry on the filter paper for 2 min. The isolated powder was activated at 100 °C for 2 h under flowing N2 to remove excess isopentylamine and toluene from the pores. 1H NMR spectroscopy of the digested material confirmed the loading of isopentylamine to be ~100% (Supplementary Figure 10).

### Synthesis of mm-2–M2(dobpdc) (M = Mn, Zn)

Methanol-solvated M2(dobpdc) ( 100 mg) was filtered and washed with successive aliquots of toluene (2 × 10 mL). Note: M2(dobpdc) (M = Mn, Zn) should not be allowed to dry completely as this can in some cases lead to decomposition of the framework. The isolated powder was transferred to a 40 mL scintillation vial, and the solvent was removed under flowing N2 at 250 °C for 16 hours. A solution of 10 mL of toluene and 3 mL of mm-2 was dried by stirring over CaH2 for 3 h at 60 °C. After centrifugation of the CaH2 suspension and cooling of the activated framework to room temperature under N2, the mm-2/toluene solution was transferred via syringe onto the activated powder under positive pressure of N2. The suspension was transferred into a N2 glove tent and left undisturbed overnight. In the glove tent, the mixture was then filtered, and the resulting powder was thoroughly washed with dry toluene (3 × 20 mL) and allowed to dry on the filter paper for 2 min. The isolated powder was activated at 100 °C for 2 h under flowing N2 to remove excess mm-2 and toluene from the pores. 1H NMR spectroscopy of the digested Zn congener confirmed the loading of mm-2 to be ~100% (Supplementary Figure 15).

### CS2 isothermal adsorption measurements

In a typical isotherm measurement, 100–200 mg of powder was transferred to a pre-weighed glass measurement tube and capped with a Micromeritics TranSeal. Importantly, all O-rings used in the presence of CS2, including on the TransSeals and analysis ports, were composed of Kalrez, a CS2 resistant perfluoroelastomer. The sample was then degassed on an activation port of a Micromeritics 2420 adsorption instrument at the specified activation temperature for 16 hours (outgas rate was less than 3 µbar min–1). The evacuated sample tube was then weighed to determine the mass of the degassed sample. The sample was transferred to the analysis port of the Micromeritics 3Flex Surface Characterization instrument, where the outgas rate was again confirmed to fall below 3 µbar min–1. Note: mm-2–Mg2(dobpdc) samples could be re-activated for reuse, whereas the Mn and Zn congeners could not. A volume of 10 mL of anhydrous CS2 ( ≥ 99%) purchased from Sigma-Aldrich was transferred to a 20 mL oven-dried steel bomb and loaded onto the 3Flex instrument. The CS2 sample was subjected to three freeze–pump–thaw cycles on the instrument before use. The CS2 sample holder was maintained at room temperature throughout all isothermal measurements, thus remaining a volatile liquid. Isothermal measurements from 25–80 °C were conducted using a water circulator to control the temperature of a Syltherm XLT silicone oil bath. From 90–120 °C, isothermal measurements were conducted using a silicone oil bath, with temperature controlled by a hot plate possessing a thermocouple probe. The temperature of the bath was cross-referenced with a secondary external digital temperature probe. In order to achieve reproducible results, an equilibration time of 240 s was required and thus used for all measurements. Adsorption equilibrium was assumed when the variation of pressure was 0.01% or lower over 240 seconds. Differential enthalpies of adsorption were determined using the Clausius–Clapeyron equation at constant loading using linear interpolation with a 1st order spline for isotherms at three different temperatures. Plotting the corresponding pressures and temperatures as ln P vs 1/T (K–1) afforded the differential entropies of adsorption from the y-intercept of the resulting lines. The Clausius–Clapeyron relationship is expressed as:

$$\ln P = \frac{{\Delta h_{{\mathrm{ads}}}}}{{RT}} + C$$

Where P is the pressure, T is the temperature, R is the universal gas constant, and C is a constant equal to–Δsads R–1.