Open Access Article
Jing Lingab,
Zhiyu Taoa,
Jiafeng Miaob,
Cong Lin
*ac,
Hao Wang
*b and
Tsz Woon Benedict Lo
*acd
aDepartment of Applied Biology and Chemical Technology, The Hong Kong Polytechnic University, Hung Hom, Hong Kong, China. E-mail: benedict.tw.lo@polyu.edu.hk
bHoffmann Institute of Advanced Materials, Shenzhen Polytechnic University, Shenzhen, China
cPolyU-Daya Bay Technology and Innovation Research Institute, The Hong Kong Polytechnic University, Huizhou, Guangdong, China
dDepartment of Applied Physics, The Hong Kong Polytechnic University, Hung Hom, Hong Kong, China
First published on 15th May 2026
Metal–organic frameworks (MOFs) offer exceptional structural tunability for targeted gas adsorption and separation; however, traditional pore engineering via organic ligand functionalisation often necessitates complex synthetic routes. In contrast, substituting inorganic secondary building units (SBUs) offers a streamlined strategy for modulating the pore environment, particularly when introducing metals with varied valences that require charge-balancing counterions. Herein, we elucidate the regulatory role of extra-framework cations by conducting a comparative study between the anionic yttrium-based framework (Y-fum-fcu-MOF) and its neutral zirconium analogue (Zr-fum-fcu-MOF, MOF-801). Through high-resolution synchrotron X-ray powder diffraction and Rietveld refinement, we identify a unique ‘pincer-like’ coordination mechanism within the Y-MOF cavities, where CO2 molecules are synergistically stabilised by Y3+ centres and protonated dimethylammonium (DMA-H+) counteraction. This cooperative interaction effectively constrains the rotational and translational degrees of freedom of the guest molecules, resulting in a significantly enhanced isosteric heat of adsorption (Qst = 38 kJ mol−1). Consequently, Y-MOF exhibits a CO2 uptake of 85.11 cm3 g−1 at 273 K, representing a 46.4% increase over the neutral Zr-MOF, alongside superior CO2/N2 selectivity. These findings demonstrate that counteraction engineering can induce localised ‘electrostatic locking’ of guest molecules, providing a robust molecular-level blueprint for designing high-performance adsorbents for industrial carbon capture and gas separation.
Efforts to optimise gas adsorption performance of MOFs have largely relied on the functionalisation of organic ligands.4 However, pore regulation based solely on linker engineering often faces significant challenges in organic synthesis.5 In this context, pore engineering of MOFs by modulating inorganic building units offers a viable alternative. The isoreticular substitution of secondary building units (SBUs), where nodes composed of different metals but with similar connectivity are exchanged while preserving the overall structural topology, has played a crucial role in fine-tuning the pore geometry and dimensions of MOFs.6 For example, replacing tetravalent Zr6 clusters with trivalent Y6 ones in topologies such as fcu, ftw, or soc provides a robust strategy to transition from a neutral framework to an anionic one.7 This SBU engineering approach is particularly significant as it induces a charge imbalance that necessitates the incorporation of extra-framework countercations. These cations, in turn, act as intra-pore segmenting agents that significantly enhance the localized electric field and pore polarity, which are critical for discriminating between gases with different polarizabilities or quadrupole moments, such as CO2 and N2. In our previous study, we demonstrated that the substitution of Zr6 clusters with Y6 ones in ftw-type MOFs generates pore environments that are optimal for the precise separation of propane and propylene.6 Nevertheless, the influence of these charge-balancing counterions on pore structure regulation remains poorly understood.
In this work, we address this underexplored matter by investigating the impact of charge-balancing counteraction within an anionic MOF on CO2 adsorption. We employ a unique comparative model incorporating two topologically identical but electronically distinct frameworks: a negatively charged yttrium-based Y-fum-fcu-MOF (‘Y-MOF’) and its charge-neutral zirconium-based analogue, Zr-fum-fcu-MOF (‘Zr-MOF’). Both materials exhibit the fcu topology, constructed from hexanuclear clusters, [Y6(OH)8(COO)12]2− for Y-MOF and [Zr6O4(OH)4(COO)12] for Zr-MOF, which are interconnected by fumarate ligands (–OOC–CH
CH–COO−).8,9
Compared to the inherently neutral Zr-MOF framework, replacing tetravalent Zr4+ with trivalent Y3+ yields a negatively charged framework in Y-MOF. Therefore, counteractions, the protonated dimethylammonium (DMA-H+) derived from the decomposition of the synthetic solvent N,N-dimethylformamide (DMF), are necessarily introduced outside the framework to maintain charge neutrality.10 The application of Rietveld refinement to synchrotron X-ray powder diffraction (PXRD) data has enabled the clear elucidation of the adsorption structures of CO2 and identification of key structural responses within the two host frameworks. Besides, various characterisation methods were carried out to elucidate the mechanistic influence of these cations in Y-MOF on gas uptake and selectivity. Our findings provide a fundamental blueprint for counterion engineering in pore regulation for enhanced regulation of gas adsorption/separation.
CH–COOH) ligand to construct respective anionic Y-MOF and neutral Zr-MOF via a solvothermal method.8,9 To satisfy the substantial sample requirements for comprehensive gas adsorption measurements and dynamic breakthrough experiments, the synthesis of Y-MOF was effectively scaled up 10-fold. This not only ensured sufficient samples for multi-dimensional characterisations but also demonstrated the robustness and scalability of the synthetic protocol, yielding products with consistent crystallinity and porosity. And prior to gas adsorption and separation, we carefully performed solvent exchange (with ethanol) and subsequent heat treatment. These steps target to remove most physisorbed DMF species from synthesis.11
To evaluate the structural robustness of the obtained Y-MOF and Zr-MOF throughout the processing stages, we conducted a series of PXRD measurements to track along the synthesis steps (Fig. S1 in the SI for the as-synthesised, ethanol-exchanged, and activated samples). The PXRD profiles of the as-synthesised Y-MOF and Zr-MOF both exhibit sharp, strong reflections that perfectly match their respective simulated patterns, confirming the high crystallinity. Following ethanol-exchange for seven days, sharp Bragg diffraction peaks maintain, demonstrating the framework's stability to withstand solvothermal stress and internal capillary forces. Crucially, the activated samples, obtained after outgassing at 150 °C under high vacuum, retain their crystalline integrity without any observable peak broadening or phase transition. This consistency underscores the permanent porosity and exceptional thermal stability of both the anionic and neutral fcu frameworks, ensuring a reliable structural platform for subsequent gas adsorption and separation cycles. Additionally, the Fourier transform infrared (FTIR) spectra show the characteristic vibrational bands of Y-MOF (Fig. S2), further confirming its structural robustness, whereas presence of residual DMF is evidenced by solid-state nuclear magnetic resonance (NMR) (Fig. S3). Besides, elemental analysis (Table S1) shows good agreement with the proposed molecular compositions of both MOFs, indicating the absence of significant bulk impurities.
The high-resolution synchrotron PXRD data along with refinement of the activated Y-MOF and Zr-MOF are presented in Fig. 1a and b. All observed reflections are consistent with the calculated Bragg positions for the cubic Pn
lattice, indicating the absence of symmetry lowering or phase transformation. Highly symmetric Bragg peaks also indicate the homogeneity of the Y-MOF and Zr-MOF, which possess comparable lattice parameters of 17.9079 Å and 18.5813 Å and unit cell volumes of 5743.01 Å3 and 6415.55 Å3, respectively.
We subsequently investigated the Fourier difference maps with the framework atoms constrained to visualise the occupancy and spatial distribution of the extra-framework species within the two MOFs. Apparent residual electron density features could be indicative of the proposed crystallographic locations of the DMA-H+ cations. Significant electron density was observed in Y-MOF (Fig. 1c) near the carboxylate oxygen atoms of the fumarate linkers, suggesting strong electrostatic interactions between the extra-framework cations and the anionic framework. In contrast, we observed minimal electron density in the extra-framework space of Zr-MOF (Fig. S4).
Given the high crystallinity of the Y-MOF and Zr-MOF samples, Rietveld refinement of the synchrotron PXRD data was conducted to determine the atomic positions based upon above Fourier map analysis. Structural models were obtained via simulated annealing, which can identify energetically favourable positions of the guest species within the pore environment.12,13 Although both Y-MOF and Zr-MOF adopt the fcu topology featuring octahedral and tetrahedral cavities, they exhibit different cavity occupancies (Fig. 1d and e). While the cavities of the neutral Zr-MOF remain vacant, the cubic cages of Y-MOF are populated by DMA-H+ cations. The Rietveld-derived crystal structure of Y-MOF identifies a critical NDMA(–H)⋯OY-MOF distance of 3.33 Å between the nitrogen atom of the DMA-H+ cations and the µ3-O atom of the Y6(OH)8 cluster.14 This distance is indicative of hydrogen-bonding along the H atom of DMA and framework O atom, which shows that the DMA-H+ species are not merely transient guests but are stably localised within the framework channels electrostatically. The zoom-in figure further highlights the specific host–guest interactions of DMA-H+ cations in Y-MOF.
To evaluate and compare the permanent porosity of Y-MOF and Zr-MOF, N2 adsorption–desorption measurements were conducted at 77 K (Fig. 2a). The pore size distribution of Y-MOF and Zr-MOF were subsequently calculated (Fig. S5). Both materials exhibit typical type I adsorption profiles, characteristic of microporous architectures. A slight hysteresis observed in the adsorption isotherm of Zr-MOF may be attributed to the presence of structural defects, consistent with previous reports.15 The apparent Brunauer–Emmett–Teller (BET) specific surface areas and total pore volumes were calculated to be 821.9 m2 g−1 and 0.833 cm3 g−1 for Zr-MOF, and 707.4 m2 g−1 and 0.190 cm3 g−1 for Y-MOF, respectively. Compared to Zr-MOF, Y-MOF exhibits a slightly lower specific surface area and total pore volume. A reduction in the effective pore diameter from ∼9.1 Å in Zr-MOF to ∼4.1 Å in Y-MOF, as estimated from BET analysis, was observed. This pore diameter reduction can be attributed to the presence of DMA-H+ cations, which occupy a significant portion of the void space within the anionic Y-based framework to maintain overall charge neutrality.16 This steric occupation, together with the positive charge of the DMA-H+ species, can alter the polarity within the internal pore environment of Y-MOF.17
The existence of the DMA-H+ cations in Y-MOF is supported by our temperature-programmed desorption mass spectrometry (TPD-MS) results (Fig. 2b). In the temperature range between 130 and 230 °C, a peak centred at 195 °C appeared. This indicates desorption of the DMF molecules (73 m/z) in large quantities, which are physically or weakly chemically adsorbed onto the MOF surface. As the temperature further increased to 230–320 °C, the TPD-MS profile exhibited a remarkable change. Specifically, at around 270 °C, the DMF signal significantly weakened, while the signals from DMA (45 m/z) and CO (28 m/z) surged dramatically, forming a sharp, highly overlapping peak. This shows that DMF molecules remaining at the strongly adsorbed sites overcome the reaction energy barrier at this temperature, undergoing decarboxylation and breaking down into the DMA and CO.
Thermogravimetric analysis (TGA) was conducted to investigate the thermal stability of the Y-MOF and Zr-MOF, as shown in Fig. 2c and d. For Y-MOF, the TGA profile reveals a distinct three-stage mass loss. The initial weight loss of 12.1% up to 200 °C is attributed to the removal of guest water/ethanol molecules. A subsequent mass loss of 8.41% (from 87.90% to 79.49%) occurs between 200 and 350 °C, corresponding to the decomposition and release of framework-embedded DMA-H+ cations. A distinct weight loss plateau is observed until 595 °C, where a sharp 25.17% mass loss indicates the final decomposition of the organic framework. In comparison, Zr-MOF exhibits an initial mass loss of 9.58% below 100 °C corresponds to the removal of physiosorbed water and ethanol. A secondary loss of 25.67% (from 90.42% to 64.75%) up to 350 °C is attributed to residual DMF and possible coordinated terminal solvents at the missing-linker sites, with the framework collapse occurring at a slightly lower temperature of 550 °C. These results demonstrate that the Y-based framework not only possesses higher thermal stability but also highlights the cleaner activation profile achieved via the ethanol-exchange process. Fig. S6 shows the TGA profiles of Y-MOF and Zr-MOF in air. When the temperature reaches 600 °C, the Y-MOF is completely converted to Y2O3, and the Zr-MOF is completely converted to ZrO2. Our temperature-programmed synchrotron PXRD dataset also reveals that both Y-MOF and Zr-MOF exhibit excellent thermal stability (Fig. S7).
The morphological features of the as-synthesised Y-MOF and Zr-MOF were evaluated using scanning electron microscopy (SEM). As illustrated in Fig. 2e and f, both MOFs possess well-defined polyhedral particles with smooth facets and uniform particle size distributions. Notably, the particle size distribution of Y-MOF shows an average particle size of 19 μm, which is significantly larger than that of Zr-MOF (0.833 nm). The increased particle size of Y-MOF may be attributed to the extra-framework counteractions, which could promote the growth and assembly of the MOF framework.18
The CO2 capture performance of Y-MOF and Zr-MOF is subsequently investigated, given that they have markedly different pore environment but similar pore architectures. The CO2 and N2 adsorption isotherms at 273, 288, and 298 K are shown in Fig. 3a and b, demonstrating type I adsorption profiles for both MOFs, indicative of their microporous nature. Notably, despite lower specific surface area, Y-MOF consistently demonstrates a higher CO2 uptake than Zr-MOF across the entire temperature and pressure range.
Specifically, at 273 K and 1 bar, Y-MOF achieves a CO2 capacity of 85.11 cm3 g−1, corresponding to an increasement of 46.4% compared to the 58.12 cm3 g−1 observed for Zr-MOF (Fig. S8). Building on Y-MOF's superior uptake capacity, a thermodynamic analysis of the isosteric heat of adsorption (Qst) calculated using the Clausius–Clapeyron equation (eqn (1)) was conducted to elucidate the underlying energetic contributions to this enhancement. Based on the CO2 adsorption isotherms at 273, 288, and 298 K, the Qst values of Y-MOF was determined ranging between 32 and 38 kJ mol−1, notably higher than the 24 and 28 kJ mol−1 observed for Zr-MOF. This enhanced adsorption enthalpy is driven by the dipole-quadrupole interactions arising from the localized positive charge of DMA-H+ cations. Unlike the passive pores in Zr-MOF where CO2 resides in a disordered state, the cation-decorated pores in Y-MOF generate a higher electrostatic potential gradient.19 This gradient may affect the polarization of the CO2 molecules, which is attributable to the 35.7% elevation in Qst (from 28 to 38 kJ mol−1).
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Besides, the separation performance for CO2/N2 mixtures was initially evaluated using the ideal adsorbed solution theory (IAST) for an equimolar mixture at 298 K. And the results show that Y-MOF demonstrates a selectivity of 10.59, exceeding the value of 9.46 obtained for Zr-MOF. The detailed computational procedures are provided in the SI.
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This preferential adsorption behaviour could be associated with the higher electropositivity and ionic character of the trivalent Y3+ nodes, which, in conjunction with the DMA-H+ cations, generate a more polarised pore environment that favours interactions with CO2 over N2.20 The enhanced thermodynamic affinity arising from these specific cation–guest interactions directly correlate with the MOF's improved ability to discriminate between gas species.21 However, as static selectivity models may not fully substantiate the complexities of practical operation, dynamic breakthrough experiments are necessary to validate the separation performance under realistic flow conditions.22
Dynamic breakthrough experiments were then conducted using a 50
:
50 (v/v) CO2/N2 mixture at 298 K (Fig. 3c and d). For both Y-MOF and Zr-MOF, N2 elutes almost immediately, whereas CO2 is preferentially retained within the frameworks. Notably, Y-MOF exhibits a substantially prolonged CO2 breakthrough time, confirming its stronger thermodynamic affinity and enhanced dynamic selectivity to CO2. However, a kinetic trade-off is observed: while Y-MOF provides stronger host–guest interactions, the larger and unoccupied pore structure of Zr-MOF facilitates more rapid gas diffusion.23,24
Consistent with the higher CO2 uptake observed in the static isotherms (Fig. 3a), Y-MOF exhibits a significantly prolonged breakthrough time for CO2 compared to Zr-MOF (Fig. 3c and d). This extended retention time, coupled with a broader breakthrough profile, confirms that Y-MOF possesses a substantially higher total dynamic adsorption capacity even under continuous flow regimes. The presence of extra-framework DMA-H+ cations within the Y-MOF pores provides superior thermodynamic selectivity and enhanced binding affinity, effectively capturing CO2 molecules more efficiently than the neutral Zr-MOF. Despite the narrower pore aperture (4.1 Å), the synergistic interactions between the Y3+ centers and the cations do not impede the overall capture efficiency; instead, they transform the pore space from a passive void into a highly chemically active environment that facilitates superior gas discrimination. Consequently, Y-MOF demonstrates excellent potential for practical carbon capture applications, outperforming its zirconium analogue in both thermodynamic capacity and dynamic separation performance. This modification establishes a direct correlation between framework charge, pore polarity, and CO2 capture performance.25,26
The strength of these interactions was further investigated using TPD-MS (Fig. 3e and f). Specifically, Y-MOF exhibits a CO2 desorption peak at a significantly higher temperature (∼300 °C) along with greater intensity than that of Zr-MOF (∼270 °C), highlighting the increased thermodynamic affinity of CO2 for the counteraction-regulated framework. This behaviour indicates the pore environment of Y-MOF enables more effective sequestration of CO2 and requires higher energy for desorption.18
By taking advantage of the molecular specificity of the adsorbate species, with the significant alteration in scattering parameters of the underneath adsorbent atoms, their host–guest interactions with the MOF framework (and also in zeolites) at an atomistic level can be elucidated.27,28 The high brilliance and angular resolution of modern synchrotron X-ray facilities enable precise localisation of CO2 molecules within the framework, as shown by high signal-to-noise ratios (near-zero intensity between peaks) and the clear separation between closely spaced peaks.29 Upon loading with CO2, we observed pronounced changes in the intensities of the Bragg reflections (Fig. 4a–d), indicating a redistribution of electron density within the fcu cavities. The absence of peak shifts or new reflections suggests that the crystal lattices remain largely unchanged, confirming a physisorption mechanism devoid of phase transitions or impurity formation.
We employed Rietveld refinement of synchrotron PXRD data for both CO2-loaded frameworks to elucidate the host–guest interactions that drive the superior gas adsorption/separation performance. The high quality of these refinements is evidenced by low R-weighted pattern (Rwp) values and small differences between the experimental and fitting profiles.
The refined structures reveal that the enhanced CO2 capture in Y-MOF is rooted in a unique, high-affinity adsorption site where CO2 is stabilised via a synergistic effect between the Lewis acidic Y3+ centres and the sequestered DMA-H+ cations (Fig. 4e). In this ‘pincer-like’ coordination, the cations act as intra-pore segmenting agents, effectively dividing the void into smaller, chemically active pockets.30 Specifically, the N–H protons of DMA-H+ and its localised positive charge density create a highly polarised environment that complements the electron-accepting nature of the yttrium nodes. This results in a multidentate interaction network that ‘anchors’ the CO2 molecule through key short-range contacts: an NDMA⋯OCO2 distance of 2.37 Å and a Y⋯OCO2 distance of 2.73 Å. These distances are consistent with a combination of synergistic hydrogen bonding and strong electrostatic interactions from the polarised Y3+ centres, where the metal centre functions as a Lewis acid to attract one oxygen atom of the CO2 guest, while the positive charge of the DMA-H+ cation stabilises the other.
Conversely, the neutral Zr-MOF framework lacks these stabilizing counteractions, resulting in significantly longer guest-to-framework distances (∼3.63 Å) and weaker non-specific interactions (Fig. 4f). In this environment, metal centres are heavily shielded by carboxylate oxygens, pushing the guest molecules toward the centre of the pore in a more disordered and mobile state. Consequently, adsorption in Zr-MOF is dominated by relatively weak, non-specific van der Waals interactions.31 These atomic-scale insights reveal the interplay between the framework charge and the sequestered cations, which enhances the superior thermodynamic affinity of the Y-based framework.
These structural insights provide a molecular-level basis for the observed macroscopic behaviour. The localised ‘electrostatic locking’ in Y-MOF effectively constrains the rotational and translational degrees of freedom of the CO2 molecules. This is consistent with its higher CO2 uptake (85.11 cm3 g−1), which is 46.4% greater than that of Zr-MOF (58.12 cm3 g−1). This structural stabilisation directly results in a substantially elevated Qst (38 vs. 28 kJ mol−1) and enhanced selectivity over non-polar N2 gas (10.59 vs. 9.46) compared to the neutral analogue. While the smaller effective pore diameter 4.1 Å and high-affinity sites in Y-MOF introduce greater diffusional resistance than the larger, vacant pores of Zr-MOF, the resulting separation purity window is significantly broader.32,33 This confirms that counteraction-induced pore engineering is a critical determinant for achieving the high thermodynamic selectivity required for industrial fixed-bed operations.
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