{"paper_id":"2a160a9f-d7f5-4269-b16a-d3c3f7e43ca4","body_text":"Targeted ion sieving via single-chain hydrogels with sub-nanometer meshes | Research Square window.SnipcartSettings = { analytics: { enabled: false } }; (function() { var accessVector = localStorage.getItem('access_vector') || ''; window.dataLayer = window.dataLayer || []; if (accessVector) { window.dataLayer.push({ user: { profile: { profileInfo: { snid: accessVector } } } }); } })(); (function(w,d,s,l,i){w[l]=w[l]||[];w[l].push({'gtm.start':new Date().getTime(),event:'gtm.js'});var f=d.getElementsByTagName(s)[0],j=d.createElement(s),dl=l!='dataLayer'?'&l='+l:'';j.async=true;j.src='https://www.googletagmanager.com/gtm.js?id='+i+dl;f.parentNode.insertBefore(j,f);})(window,document,'script','dataLayer','GTM-K279D39R'); Browse Preprints In Review Journals COVID-19 Preprints AJE Video Bytes Research Tools Research Promotion AJE Professional Editing AJE Rubriq About Preprint Platform In Review Editorial Policies Our Team Advisory Board Help Center Sign In Submit a Preprint Cite Share Download PDF Article Targeted ion sieving via single-chain hydrogels with sub-nanometer meshes Mingjie Liu, Yi Zhai, Huili Ren, Zexu Li, Pengxiang Liu, Xiuqin Yang, and 3 more This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-8081993/v1 This work is licensed under a CC BY 4.0 License Status: Posted Version 1 posted You are reading this latest preprint version Abstract Hydrogels containing 3D nano-meshes formed by polymer chains provide pathways for mass transport. The typical hydrogel mesh sizes range from 5 to 100 nanometers, one or more orders of magnitude higher than ionic diameters, making them ineffective for precise ion sieving. Achieving sub-nanometer meshes in an upscaled hydrogel membrane remains a major challenge. Herein, we demonstrate single-chain hydrogels (SCHs) with sub-nanometer meshes, fabricated via a solid-phase synthesis process, which function as precise ion sieves. The SCHs are prepared through intrachain crosslinking of polyethyleneimine (h-PEI), which is precisely pre-grafted at the entrance of the nanopores in an isolated feature. The sub-nanoscale confinement in SCHs significantly influences three coexisting mesh-ion interactions: ionic dehydration, electrostatic repulsion, and coordination affinity, leading to varied energy barriers for ion transport. As a result, SCHs exhibit graded cation transport, serving as a versatile platform for targeted ion sieving with both exceptional ion selectivity and high target ion flux. In key applications, including seawater desalination, lithium extraction, and heavy metal ion removal, our SCHs demonstrate state-of-the-art performance. The SCH concept provides a promising template for future applications in fields such as energy, environmental science, and bionics. Physical sciences/Materials science/Soft materials/Gels and hydrogels Physical sciences/Materials science/Materials for energy and catalysis/Porous materials Figures Figure 1 Figure 2 Figure 3 Figure 4 Figure 5 Main Ion sieving is a critical process in the separation technologies 1 , enabling selective transport of ions based on size, charge, hydration energy and chemical affinity 2 . Its importance spans water purification 3 , energy storage (batteries 4 , capacitors 5 ), and environmental protection 6 . The development of ion sieving has been driven by the demand for highly efficient and selective materials 7 . To achieve precise ion sieving, membranes must possess sub-nanometer pores that match the diameter of the target ions 8 . Additionally, fast ion sieving requires minimizing the ion transport pathway length 9 . Recently, ultrathin crystalline porous materials such as graphene (oxide) 10 , MXenes 11 , metal/covalent organic frameworks 12,13 , have demonstrated sub-nanometer pores, facilitating high-throughput, energy-efficient ion sieving. However, translating this sub-nanoconfinement strategy to traditional polymers—despite their superior processability—remains a significant challenge. Due to the chemical controllability and size tunability, hydrogels that contain 3D nanomeshes formed by hydrophilic polymer chains are promising candidates for ion separation 14,15 . These nanomeshes serve as scaffolds that facilitate the diffusion of (macro)molecules, ions, and other substances through the hydrogel matrix 16 . However, conventional hydrogels typically exhibit mesh sizes ranging from 5 to 100 nanometers 17 —far exceeding the dimensions of hydrated ions—which severely limits their ion sieving performance. Numerous attempts have been made to reduce the mesh size 18,19,20,21 , particularly through increased crosslinking density. Unfortunately, highly crosslinked hydrogel membranes often become brittle and prone to mechanical failure during operation 22 . Thus, achieving sub-nanometer meshes in large-scale hydrogel membranes constitutes a major obstacle 23 . Here, we present an in-situ solid-phase synthetic strategy for fabricating SCHs with sub-nanometer meshes (~5 Å) that enable precise ion sieving (Fig. 1a). On a home-made nanopore membrane 24,25 , hyperbranched-polyethyleneimine (h-PEI) with a proper size is discretely grafted. By introducing crosslink agents at h-PEI collapsed conformation, intra-chain crosslinking occurs and SCHs are in-situ formed, successfully avoiding inter-chain crosslinking. The SCHs have sub-nanometer meshes (~5 Å), much smaller than the precursor h-PEI (~2.4 nm) 25 . This unique structure creates sub-nanoscale confinement composed of repeat units and crosslinkers, which governs ion transport through three key interactions: ionic dehydration 26 , electrostatic repulsion 27 , and coordination affinity 28 . These interactions collectively modulate ion transport energy barriers (Fig. 1b). As a result, the SCHs present graded cation transport accompanied by exceptional ion selectivity, enabling precise separation of target ions (Fig. 1c). Meanwhile, benefiting from the single-chain thickness, the target ion transport rate in SCHs is remarkably fast. Our SCH concept, showing great advantages over traditional materials (Fig. 1d), provides a promising template for future applications in fields such as energy, environmental science, and bionics. P reparation of SCH s The SCHs are fabricated in situ on a custom-designed nanopore membrane through a solid-phase synthesis process. Conventional approaches for achieving intrachain crosslinking require disentangling polymer chains from aggregated states into isolated single-chain states in dilute solution (concentration below the critical overlap concentration c *~0.1 mg·mL -1 ). The fundamental limitation severely hinders large-scale SCH production. To overcome this challenge, we employ a home-made nanopore membrane 24 as the template for space-specific h-PEI grafting. First, by self-assembly of the block copolymer (BCP) under tailored hierarchical boundary conditions, we get large-area, transmembrane honeycomb-like nanopores (Supplementary Fig. 1). The nanopores have diameter ( d ) of ~8 nm, center-to-center distance ( D ) of ~25 nm, and carboxyl groups on the nanopore inner surface (Extended Data Fig. 1). Next, h-PEI is discretely grafted through amidation reaction (Supplementary Fig. 2). The contour size of h-PEI is crucially important. We select h-PEI with a size of ~21 nm (Supplementary Fig. 3), located between d and D . In this way, unexpected continuous h-PEI layer 25 is successfully avoided, and high areal density (~10 11 cm -2 ) of isolated h-PEI is realized (Supplementary Fig. 4a). Finally, cyanuric chloride (CC) is introduced to intra-chain crosslink the h-PEI chains at their collapsed conformation, in-situ forming SCHs. Single-chain nanoparticles have attracted dense interests 29 , all of which are solution-based systems. Our solid-phase synthesis concept allows for up-scaled fabrication of SCHs (Fig. 2a). It’s worth noting that the uncrosslinked h-PEI is swollen in water, where the chains overlap each other, containing nanometer-size void 25 and failing in precise ion sieving. If the crosslinking reaction occurs at the expanded conformation, inter-chain crosslinking is inevitable and bigger-size continuous layer is formed. After detachment, we can see ~5-nm-thickness nanosheets on the atomic force microscope (AFM) image (Supplementary Fig. 5). The successful SCH formation is experimentally verified. On the AFM height images, we can see isolated nanodots with average height of ~5 nm (Fig. 2b). SCHs can be dissociated from the membrane by hydrolysis reaction. After breaking the amide linkages with alkaline, the detached SCHs are clearly visible on the AFM image (Fig. 2c), which also have an average height of ~5 nm. No size-extended particle is seen, indicating inter-chain crosslinking is successfully avoided. Furthermore, the detached SCHs are well-dissolved in common solvents, different from the inter-chain crosslinked nanosheets and traditional hydrogels. The good solubility facilitates their verification without special treatments. Gel permeation chromatography (GPC) is proved to be a powerful tool to monitor single-chain particles 30 . The SCHs have a markedly lower apparent molecular weight than the original h-PEI (Supplementary Fig. 6). Structural characterization by 13 C nuclear magnetic resonance (NMR) spectroscopy reveals characteristic peaks at 174 and 153 ppm are attributed to the triazine units in CC (Supplementary Fig. 7) 31 . This is further corroborated by X-ray photoelectron spectroscopy (XPS), which shows a distinct peak at 400.5 eV attributed to CC 32 . Quantitative analysis indicates a crosslinking degree of 0.75 for fully crosslinked SCHs (Extended Data Fig. 2). Remarkably, the fully crosslinked SCHs exhibit extraordinary mechanical properties, with a Young’s modulus reaching ~4.3 GPa, significantly surpassing conventional hydrogels (Fig. 2d). The exceptional mechanical strength stems from the single-chain architecture, where stress is efficiently transferred and uniformly distributed throughout the crosslinked network prior to chain fracture 33 . This unique stress dispersion mechanism at the single-chain scale effectively suppresses crack propagation, granting SCHs unprecedented mechanical stability. Moreover, because of the covalent connection of SCHs and the nanopores, the mechanical strength of the overall membrane is significantly enhanced, compared to the nanoporous template (Supplementary Fig. 8). Anti-swelling sub-nanometer meshes The SCHs with tailored crosslinking degrees feature 3D meshes composed of repeat units and crosslinking groups. Unlike conventional hydrogels where mesh sizes depend on chain segments, SCHs achieve sub-nanometer confinement at the length scale of repeat units. This unique sub-nanometer architecture is confirmed experimentally and theoretically. From positron annihilation lifetime spectroscopy (PALS) results, we can see that the mesh size is predominantly distributed around 5 Å, constructing a free volume of 60 Å 3 (Fig. 2e). The mesh sizes have an exceptionally narrow distribution, with a full width at half maximum of only ~1.2 Å, which underscores the superior uniformity among the advanced ion sieves. Molecular dynamics (MD) simulations (Extended Data Fig. 3) show that SCHs possess 3D interpenetrating networks, with the feature size of ~5 Å (Fig. 2f). The SCHs exhibit exceptional anti-swelling properties due to each repeat unit being firmly immobilized by crosslinking groups, which completely restricts rotational freedom of chain segments and limits deformation to slight bond length and angle changes upon solvent penetration. As shown in Fig. 2g, SCHs display only 18.4% water uptake with a minimal 1.2% volume expansion—orders of magnitude lower than traditional acrylamide hydrogels (Supplementary Fig. 4b,9,10). After half year under water, the membrane remains virtually unchanged (Supplementary Fig. 11). AFM observation indicates no obvious damage upon the SCH membrane (Supplementary Fig. 4c). Such excellent stability benefits the practical applications. Wide-angle X-ray scattering (WAXS) spectrum confirm mesh size retention after swelling (Fig. 2h and Extended Data Fig. 4), with the characteristic scattering halo at ~1.8 Å -1 (corresponding to the repeat unit length between crosslinks) remaining unchanged. Additional 2D low-field nuclear magnetic resonance (2D LF-NMR) analysis (Fig. 2i and Supplementary Fig. 12) reveals transverse relaxation time (T 2 ) below 10 ms, confirming sub-nanometer void sizes 34 . The short T 2 of D 2 O in SCHs (~1.2 ms) corresponds to a long water motional correlation time (τ c ~10 2 ns), demonstrating severely restricted water diffusion 35 . The exclusive presence of bound water (Supplementary Fig. 13) further confirms the outstanding anti-swelling properties of SCHs, with no detectable free water observed. Graded cation transport in SCHs SCHs demonstrate exceptionally high target cation flux, enabled by their ultra-short transport pathways inherent to the single-chain architecture. As shown in Fig. 3a, the K + conductivity reaches 7.9 mS·cm -1 . Correspondingly, under a 2 V applied voltage, the K + flux ( J K ) achieves 5.8 mol·m -2 ·h -1 , representing the state-of-the-art performance for ion-selective membranes (Supplementary Table 1,2). The sub-nanometer mesh microenvironment differentially modulates cation transport, resulting in graded ion permeation following the sequence: K + > Na + > Li + > Sr 2+ > Ca 2+ > Mg 2+ > Co 2+ > Cu 2+ . The differences arise from cation-specific energy barriers imposed by the sub-nanometer meshes. In contrast, the precursor h-PEI nanochannels are not capable of precise ion sieving 25 . To quantify these barriers, we analyzed the temperature-dependent cation fluxes under an electric field. The observed linear relationship between logarithm of cation flux and 1/T (Fig. 3b) reveals activation energies that inversely correlated with cation fluxes (Fig. 3c)—lower barriers correspond to higher permeation rates. Notably, concentration gradient-driven transport maintains the same selectivity order while amplifying flux differences between cations by orders of magnitude compared to electrically-driven transport (Fig. 3d), further demonstrating the remarkable ion discrimination capability of SCHs. The ion transport in SCHs can be precisely regulated through mesh size engineering. The K + flux ( J K ) can be continuously tuned from 0.4 to 11.3 mol·m -2 ·h -1 by progressively increasing the mesh sizes (Extended Data Fig. 5). When the mesh size is minimized, the membrane achieves optimal mono-/divalent ion selectivity, exemplified by a K + /Mg 2+ selectivity ( S K/Mg ) of ~1400. Besides the size influence, the ion transport properties of SCHs can be modulated by adjusting the mesh microenvironment, where abundant nitrogen atoms dynamically interact with either protons or transition metal ions. pH-dependent studies reveal that progressive protonation of nitrogen atoms at lower pH values reduces cation fluxes, with J K showing the smallest decrease, thereby enhancing K + selectivity over other cations (Fig. 3e, Extended Data Fig. 5). Notably, Co 2+ exhibits anomalous behavior with increasing J Co and decreasing S K/Co at lower pH, which will be discussed later. Through coordination chemistry modulation using Cu 2+ as a model transition metal ion (Extended Data Fig. 6), we observe remarkable selectivity enhancement. As shown in Fig. 3f, J K remains stable, while J Mg decreases drastically, achieving record-high S K/Mg selectivity (~22,000) that surpasses previous ion sieves by an order of magnitude. This coordination effect is fully reversible, as evidenced by restored flux and selectivity after Cu 2+ removal via acid treatment (Supplementary Fig. 14). SCHs uniquely overcome traditional flux-selectivity trade-off through two key advantages: (1) ultra-short transport pathways enabling high target ion flux, and (2) sub-nanometer microenvironment providing exceptional selectivity. This dual capability yields superior performance in critical applications like seawater desalination and potassium extraction compared to conventional ion-selective membranes (Fig. 3g and Supplementary Table. 2). Practical viability is further demonstrated through robust operation under long-term testing, large-scale deployment, and complex mixed-salt conditions (Supplementary Fig. 15-18). The mechanism of graded cation transport The graded cation transport behavior in SCHs emerges from three synergistic interactions: ionic dehydration (Ⅰ), electrostatic repulsion (Ⅱ), and coordination affinity (Ⅲ), as shown in Fig. 1b. For interaction I, the sub-nanometer mesh dimensions (comparable to cation sizes) force partial or complete shedding of hydration shells during transport. This endothermic dehydration process contributes significantly to the energy barrier, with smaller cations (e.g., K + ) undergoing only partial dehydration, while larger cations (e.g., Mg 2+ ) require complete dehydration, leading to slower transport rates (Fig. 4a, Supplementary Table. 3). Interaction II arises from positively charged protonated nitrogen atoms within the mesh, generating cation repulsion (Fig. 4b and Supplementary Fig. 19). The repulsive force follows two key relationships: (1) direct proportionality to cation valence (stronger for multivalent ions), and (2) inverse-square dependence on mesh-ion distance 36 . Crucially, the sub-nanometer confinement produces stronger electrostatic effects than conventional nanochannels. Furthermore, the mesh dimensions (compatible to the Debye length) prevent effective charge screening by anions 37 , enabling SCHs to maintain exceptional cation selectivity even at high ionic strengths (> 0.1 mol·L -1 ), a regime where nanochannel-based systems typically fail. For Interaction III, nitrogen atoms exhibit specific coordination affinities toward different cations, thereby creating differential cation fluxes. In the sub-nanometer meshes, nitrogen atoms can directly coordinate with bare cations, with the affinity being stronger than in larger nanostructures. Cations with stronger coordination affinity partition more effectively into sub-nanometer meshes, though this is typically accompanied by reduced diffusivity. Compared to alkali and alkaline earth metal ions, transition metal ions possess partially filled d-orbitals (e.g., Co 2+ , [Ar]3d 7 ), which enables significantly stronger coordination with nitrogen atoms 38 . As shown in Fig. 4c, the binding energy between the meshes and transition metal ions (Co 2+ , Cu 2+ ) becomes excessively strong, nearly completely inhibiting their diffusion. At low pH conditions, transition metal ions become de-coordinated from nitrogen atoms due to proton competition, which promotes their diffusion (Supplementary Fig. 20). This pH-dependent de-coordination mechanism explains why S K/Co decreases at lower pH values. The pre-occupation of coordination sites by the strongly-bound Cu 2+ significantly suppresses the partitioning of other high-affinity cations like Mg 2+ into the sub-nanometer meshes, while exerting a comparatively minor influence on the transport of low-affinity ions such as K + (Supplementary Fig. 21-23). We employed Density Functional Theory (DFT) to comprehensively analyze the synergistic effects of the three aforementioned interactions. To simplify the calculations, we modeled the cation transport process within a single sub-nanometer mesh. As shown in Fig. 4d and Supplementary Fig. 24-31, the fully hydrated free cation (State I) is first absorbed by the mesh (State II), then traverses through it (State III). The process involves two distinct energy barriers: an absorption barrier and a traversal barrier. Fig. 4e reveals that absorption barriers are relatively small (sometimes even negative, indicating thermodynamically favorable), while the traversal barriers show higher positive values and serve as the primary contributor to the total energy barrier. The order of traversal barriers for different cations matches both the experimentally measured barriers (Fig. 3c) and shows an inverse correlation with cation flux (Fig. 3d). As the secondary factor, the absorption barriers also influence cation transport behavior. For K + , its absorption barrier is negative, indicating efficient mesh partitioning. For Na + , Li + , Sr 2+ , and Ca 2+ , they exhibit small positive absorption barriers, suggesting moderate partitioning resistance. For Mg 2+ , Co 2+ , and Cu 2+ , they display negative absorption barriers but significantly positive traversal barriers, making subsequent diffusion difficult after initial partitioning. The cation transport barriers exhibit a pronounced size dependence, where sub-nanometer confinement dramatically modulates all three interactions 39 , as systematically investigated for meshes of 5, 7, 9 Å (Supplementary Fig. 28-39). Three key size-dependent effects emerge: (1) absorption barriers decrease with increasing the mesh size, promoting cation partitioning; (2) traversal barriers become more uniform across different cations in larger meshes (Fig. 4f); and (3) barrier differentiation amplifies at smaller dimensions—exemplified by K + -Mg 2+ traversal barrier difference decreasing from 65.9 kcal·mol -1 (5 Å), to 42.9 (7 Å) and 14.3 kcal·mol -1 (9 Å). The computational trend quantitatively corroborates experimental observations of enhanced selectivity in smaller mesh SCHs. Target ion sieving in diverse solutions SCHs demonstrate programmable cation selectivity coupled with high-throughput transport, establishing them as a versatile platform for advanced separation technologies. Unlike conventional materials constrained by the flux-selectivity trade-off, SCHs simultaneously achieve both high selectivity and exceptional ion flux. Owing to their high monovalent cation flux and exceptional mono-/divalent cation selectivity, the SCH membrane is suitable for nanofiltration process in seawater desalination. Under a given bias pressure (0.85 bar), the SCH membrane demonstrates both high water flux (100-200 LMH·bar -1 ) and outstanding rejection rates for divalent cations (> 99%), as detailed in Supplementary Table 4 and 5. Besides, SCHs have emerged as a universal platform capable of diverse industrial applications including lithium extraction, wastewater treatment, and osmotic energy conversion. In lithium extraction applications, SCHs exhibit breakthrough performance with exceptional S Li/Mg and high J Li , enabling them suitable for extracting this energy metal from salt lakes. As shown in Fig. 5a, J Li consistently exceeds J Mg across different Li + /Mg 2+ molar ratios ( R Li/Mg , ranging from 10:1 to 1:10,000). At the lowest R Li/Mg , the S Li/Mg reaches as high as ~49,000. In Fig. 5b, we select a lower R Li/Mg to simulate salt lake water sources (1:1,000, which is already lower than actual salt lakes 40 ) to test the lithium extraction performance of SCHs. Over a 10-day test, the S Li/Mg reaches ~16,000, while J Li is calculated at 15.0 mol·m -2 ·h -1 . The performance represents the highest value among current lithium extraction materials (Supplementary Table. 6). The unprecedented S Li/Mg under lower R Li/Mg highlights SCHs’ potential to outperform conventional methods like evaporative concentration and absorption-based systems. For wastewater treatment, SCHs can be utilized to remove heavy metal ions from the sewage. As shown in Fig. 5c, the concentrations of wastewater containing different types and concentrations of heavy metal ions are reduced by ~1,000 times after filtration through the SCH membrane (Supplementary Fig. 40). We utilize SCHs to filtrate simulated wastewater containing eight heavy metal cations, each at a concentration of 100 ppm. After the first filtration, over 99% of heavy metal ions are removed. After the second filtration, the concentration is below the safe discharge limit. After the third filtration, the concentration is beneath the ICP-MS detection limit (10 -3 ppm). The SCHs-based wastewater treatment method aligns with the emerging technological paradigm of sludge reduction and resource recovery, while also conserving energy and reducing operational costs. For osmotic energy harvesting, SCHs mimic the electrocyte cells of electric eels that generate ion gradient-driven currents through selective transmembrane transport between solutions of similar concentrations 41 . By leveraging preferential cation diffusion (K + over Mg 2+ ), SCHs significantly expand the application scope for salinity gradient energy harvesting. As shown in Fig. 5e, SCHs achieve a remarkable power density of 6.7 W·m -2 under equal concentration conditions. Our system employs river water in the receiving chamber while utilizing various natural aqueous solutions in the diffusion chamber—water source pairs traditionally considered unsuitable for osmotic energy harvesting due to their lower salinity ratio compared to seawater/river water system (Supplementary Table. 7). Remarkably, this biomimetic design achieves power densities ranging from 1.1 W·m -2 to 25.1 W·m -2 (Fig. 5f and Supplementary Fig. 41-43), effectively bridging the gap between low-salinity resources and practical energy output. Deploying SCH membrane in estuarine or industrial wastewater discharge zones could unlock gigawatt-scale renewable energy potential 42 . In conclusion, we demonstrate high-density SCHs with sub-nanometer (~5 Å) meshes constructed by repeat units and crosslinking groups, in big contrast to the nano-meshes in the traditional hydrogels which are typically surrounded by chain segments. Due to the sub-nanometer size, the SCH meshes provide tailored interaction with cations including ionic dehydration, electrostatic repulsion, and coordination affinity. As a result, the cation flux through the SCHs is graded, ensuring a versatile platform for on-demand ion sieving. In many critical applications such as seawater desalination, lithium extraction, heavy metal ion removal, and so on, our SCHs demonstrate state-of-the-art performance. The SCH design strategy provides inspiration for novel separation membranes, and paves the way for energy-lean industrial processes. Methods Fabrication of large-area nanoporous membrane Large-area nanoporous membranes were prepared according to our previously reported procedure with a few minor modifications 24 . BCP solution in toluene (4 wt%) was spin-coated at 3,000 rpm for 60 s onto silicon wafers pre-coated with a 200-nm-thickness PSS sacrificial layer. The membrane was initially dried under a nitrogen atmosphere (25 ℃) for 2 h to remove residual solvents. Subsequently, the solvent annealing process was carried out in a sealed chamber saturated with a 1:1 (v/v) water-acetone mixed solvent vapor atmosphere at 25 ℃ for 24 h. The mixed solvent was preheated to 40 ℃ to increase vapor pressure, ensuring uniform solvent diffusion into the BCP membrane. Post-annealing, the membrane was rinsed with ethanol (≥ 99.5%, Aladdin) for 2 h to remove residual acetone, followed by nitrogen atmosphere drying to eliminate water traces, ensuring chemical stability during subsequent UV etching. Nanopores were generated by UV light (λ max = 365 nm, 300 mW·cm -2 ) for 30 min followed by ethanol rinsing for 2 h to selectively remove the PEO phase. The resultant nanoporous membrane has a pore diameter of d ~8 nm and a pore-to-pore distance of D ~25 nm. The membrane thickness was measured as 90 ± 5 nm by AFM (Supplementary Fig. 44). Fabrication of the SCHs The SCHs were fabricated through a two-step solid-phase synthesis process. First, h-PEI was discretely grafted at the above nanopores according to a modified method 25 . Typically, a solution containing h-PEI (4 wt%, ~21 nm in size, located between d and D ), EDC (0.05 wt%), and DMAP (0.02 wt%) was spin-coated onto the nanoporous membrane at 3,000 rpm for 60 s. The sample was cured under nitrogen atmosphere at 50 ℃ for 12 h, followed by three ethanol washes to remove unreacted components. The membrane was dried on a hot plate (40 °C) under a nitrogen atmosphere for 24 h. This process is crucially important, because h-PEI adopt a collapse conformation state, minimizing adjacent PEI chain entanglement. Next, the membranes were immersed in CC ethanol solution (2×10 -4 -2 wt%). The reaction last for 0.5 h, and in-situ intra-chain crosslinking occurred. Unreacted CC was removed by thoroughly washing with ethanol for 3 times. Free-standing membranes were obtained by dissolving PSS layer with water. The SCHs could be detached from the membrane by hydrolysis using KOH solution (pH = 11). The resulting aqueous solution was dialyzed for 24 h (MWCO: 3.5 kDa). After that, the solution was washed with dichloromethane to remove fat-soluble matter. The aqueous phase was collected, and the detached SCHs were obtained. Determination of energy barriers for cation transport Density functional theory calculation All calculations were performed using the CP2K software package 44 , employing its Gaussian and Plane Wave (GPW) methodology 45 with the PBE functional 46 augmented by D3(BJ) dispersion corrections 47 . The DZVP-MOLOPT-SR-GTH basis sets 48,49 and GTH pseudopotentials were rigorously applied to all elements, ensuring consistent treatment of core-electron interactions. Structural optimizations utilized the BFGS algorithm with convergence thresholds of 4.5×10 -4 Ha/Bohr (force) and 3×10 -3 Å (displacement). Periodic boundary conditions were enforced within a 12 × 18 × 20 Å 3 orthorhombic supercell, with a 400 Ry plane-wave cutoff balancing computational accuracy and efficiency. Declarations Data availability All data are available in the main text or Supplementary Information and also from the corresponding authors on reasonable request. Acknowledgements This work was funded by the National Natural Science Foundation of China (22175009), the National Key Research and Development Program of China (2022YFB3805900). We are grateful to the Analysis & Testing Center of Beihang University for the facilities, and the scientific and technical assistance. We sincerely thank Z. Liu for his assistance with AFM testing. We sincerely thank J. Gao for his assistance with NMR testing. We sincerely thank H. Ding and M. Zhao (Suzhou Niumag Analytical Instrument Corporation, China) for their expertise in LF-NMR testing, including scientific and technical assistance. Author contributions M.L., L.G. and T.Z. conceived and supervised the project. L.G. designed the research and coordinated the collaboration. Y.Z. and H.R. performed all experiments with assistance from P.L., X.Y., and J. L. Z.L. and Y.Z. conducted the numerical simulations. Y.Z. and L.G. wrote the manuscript, with revisions by M.L. and T.Z. 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Post-modification of PIM-1 and simultaneously in situ synthesis of porous polymer networks into PIM-1 matrix to enhance CO 2 separation performance. J. Membr. Sci. 636 , 119544 (2021). Kim, J., Zhang, G., Shi, M. & Suo, Z. Fracture, fatigue, and friction of polymers in which entanglements greatly outnumber cross-links. Science 374 , 212-216 (2021). Zhang, W.-H. et al. Graphene oxide membranes with stable porous structure for ultrafast water transport. Nat. Nanotechnol. 16 , 337-343 (2021). Hou, L. X. et al. Intrinsic anti-freezing and unique phosphorescence of glassy hydrogels with ultrahigh stiffness and toughness at low temperatures. Adv. Mater. 35 , 2300244 (2023). Feng, J. et al. Observation of ionic Coulomb blockade in nanopores. Nat. Mater. 15 , 850-855 (2016). Tunuguntla, R. H. et al. Enhanced water permeability and tunable ion selectivity in subnanometer carbon nanotube porins. Science 357 , 792-796 (2017). Chapman, D. Electronegativity and the stability of metal complexes. Nature 174 , 887-888 (1954). Epsztein, R., DuChanois, R. M., Ritt, C. L., Noy, A. & Elimelech, M. Towards single-species selectivity of membranes with subnanometre pores. Nat. Nanotechnol. 15 , 426-436 (2020). Zhang, Y. et al. Congener-welded crystalline carbon nitride membrane for robust and highly selective Li/Mg separation. Sci. Adv. 10, eadm9620 (2024). Schroeder, T. B. H. et al. An electric-eel-inspired soft power source from stacked hydrogels. Nature 552 , 214-218 (2017). Alvarez-Silva, O. A., Osorio, A. F. & Winter, C. Practical global salinity gradient energy potential, Renewable Sustainable Energy Rev. 60 , 1387-1395 (2016). Zhou, X. et al. Intrapore energy barriers govern ion transport and selectivity of desalination membranes. Sci. Adv. 6 , eabd9045 (2020). Kühne, T. D. et al. CP2K: An electronic structure and molecular dynamics software package - Quickstep: Efficient and accurate electronic structure calculations. J. Chem. Phys. 152 , 194103 (2020). VandeVondele, J. et al. Quickstep: Fast and accurate density functional calculations using a mixed Gaussian and plane waves approach. Comput. Phys. Commun. 167 , 103-128 (2005). Perdew, J. P., Burke, K. & Ernzerhof, M. Generalized gradient approximation made simple. Phys. Rev. Lett. 77 , 3865-3868 (1996). Grimme, S., Antony, J., Ehrlich, S. & Krieg, H. A consistent and accurate ab initio parametrization of density functional dispersion correction (DFT-D) for the 94 elements H-Pu. J. Chem. Phys. 132 , 154104 (2020). VandeVondele, J. & Hutter, J. Gaussian basis sets for accurate calculations on molecular systems in gas and condensed phases. J. Chem. Phys. 127 , 114105 (2007). Goedecker, S., Teter, M. & Hutter, J. Separable dual-space Gaussian pseudopotentials. Phys. Rev. B 54 , 1703-1710 (1996). Additional Declarations There is NO Competing Interest. Supplementary Files SI.docx Targeted ion sieving via single-chain hydrogels with sub-nanometer meshes ExtendedDataFig.docx Cite Share Download PDF Status: Posted Version 1 posted You are reading this latest preprint version Research Square lets you share your work early, gain feedback from the community, and start making changes to your manuscript prior to peer review in a journal. As a division of Research Square Company, we’re committed to making research communication faster, fairer, and more useful. We do this by developing innovative software and high quality services for the global research community. Our growing team is made up of researchers and industry professionals working together to solve the most critical problems facing scientific publishing. Also discoverable on Platform About Our Team In Review Editorial Policies Advisory Board Help Center Resources Author Services Accessibility API Access RSS feed Manage Cookie Preferences © Research Square 2026 | ISSN 2693-5015 (online) Privacy Policy Terms of Service Do Not Sell My Personal Information {\"props\":{\"pageProps\":{\"initialData\":{\"identity\":\"rs-8081993\",\"acceptedTermsAndConditions\":true,\"allowDirectSubmit\":true,\"archivedVersions\":[],\"articleType\":\"Article\",\"associatedPublications\":[],\"authors\":[{\"id\":547245303,\"identity\":\"95594a7c-cfd6-4e5d-a394-496269c22331\",\"order_by\":0,\"name\":\"Mingjie Liu\",\"email\":\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAvElEQVRIiWNgGAWjYBACPmYgIVFxAMLjIUYLG1jLGZK0gAjGNpK0sPOYbrCcdyexv/0A44O3bQzy5oQdxmN2Q3Lbs8QZZxKYDee2MRjubCBOy+HEhgMJbNK8bQwJBgeI0jLncOL88w/Yf5OgpeFw4oYbCWzMRGphK7shceyZ8cYbD5sl55yTMNxASAs//+FttyVq7sjOO5988MObMht5graAALMEmGJsABISRKgHqf1AnLpRMApGwSgYqQAAYHs+vPfHs70AAAAASUVORK5CYII=\",\"orcid\":\"https://orcid.org/0000-0002-8399-2134\",\"institution\":\"Beihang University\",\"correspondingAuthor\":true,\"prefix\":\"\",\"firstName\":\"Mingjie\",\"middleName\":\"\",\"lastName\":\"Liu\",\"suffix\":\"\"},{\"id\":547245304,\"identity\":\"ec0a66f3-d13b-46ec-b982-98b91434bd19\",\"order_by\":1,\"name\":\"Yi Zhai\",\"email\":\"\",\"orcid\":\"https://orcid.org/0000-0003-0831-6360\",\"institution\":\"Beihang University\",\"correspondingAuthor\":false,\"prefix\":\"\",\"firstName\":\"Yi\",\"middleName\":\"\",\"lastName\":\"Zhai\",\"suffix\":\"\"},{\"id\":547245305,\"identity\":\"dda78ffe-15b7-4e69-ae65-673e9ef204b6\",\"order_by\":2,\"name\":\"Huili Ren\",\"email\":\"\",\"orcid\":\"\",\"institution\":\"Beihang University\",\"correspondingAuthor\":false,\"prefix\":\"\",\"firstName\":\"Huili\",\"middleName\":\"\",\"lastName\":\"Ren\",\"suffix\":\"\"},{\"id\":547245306,\"identity\":\"ba3b7cf6-625c-4309-b68c-533c8d40a749\",\"order_by\":3,\"name\":\"Zexu Li\",\"email\":\"\",\"orcid\":\"\",\"institution\":\"Beihang University\",\"correspondingAuthor\":false,\"prefix\":\"\",\"firstName\":\"Zexu\",\"middleName\":\"\",\"lastName\":\"Li\",\"suffix\":\"\"},{\"id\":547245307,\"identity\":\"5a5bcaa9-8516-4599-a59f-63ca4e017590\",\"order_by\":4,\"name\":\"Pengxiang Liu\",\"email\":\"\",\"orcid\":\"\",\"institution\":\"Beihang University\",\"correspondingAuthor\":false,\"prefix\":\"\",\"firstName\":\"Pengxiang\",\"middleName\":\"\",\"lastName\":\"Liu\",\"suffix\":\"\"},{\"id\":547245308,\"identity\":\"447e8997-a4a3-45c4-bff1-929ed62efc5b\",\"order_by\":5,\"name\":\"Xiuqin Yang\",\"email\":\"\",\"orcid\":\"\",\"institution\":\"Beihang University\",\"correspondingAuthor\":false,\"prefix\":\"\",\"firstName\":\"Xiuqin\",\"middleName\":\"\",\"lastName\":\"Yang\",\"suffix\":\"\"},{\"id\":547245309,\"identity\":\"3f497120-1dbb-4346-8e7e-65a0fece622e\",\"order_by\":6,\"name\":\"Longcheng Gao\",\"email\":\"\",\"orcid\":\"https://orcid.org/0000-0002-4490-4760\",\"institution\":\"Beihang University\",\"correspondingAuthor\":false,\"prefix\":\"\",\"firstName\":\"Longcheng\",\"middleName\":\"\",\"lastName\":\"Gao\",\"suffix\":\"\"},{\"id\":547245310,\"identity\":\"eed56566-7c76-4983-8201-5fcca3b402fe\",\"order_by\":7,\"name\":\"Tianyi Zhao\",\"email\":\"\",\"orcid\":\"\",\"institution\":\"Beihang University\",\"correspondingAuthor\":false,\"prefix\":\"\",\"firstName\":\"Tianyi\",\"middleName\":\"\",\"lastName\":\"Zhao\",\"suffix\":\"\"},{\"id\":547245311,\"identity\":\"bea3deff-13fc-4651-b4fd-eafc309d34b4\",\"order_by\":8,\"name\":\"Jing Li\",\"email\":\"\",\"orcid\":\"https://orcid.org/0000-0002-5627-4153\",\"institution\":\"Beihang University\",\"correspondingAuthor\":false,\"prefix\":\"\",\"firstName\":\"Jing\",\"middleName\":\"\",\"lastName\":\"Li\",\"suffix\":\"\"}],\"badges\":[],\"createdAt\":\"2025-11-11 03:30:46\",\"currentVersionCode\":1,\"declarations\":\"\",\"doi\":\"10.21203/rs.3.rs-8081993/v1\",\"doiUrl\":\"https://doi.org/10.21203/rs.3.rs-8081993/v1\",\"draftVersion\":[],\"editorialEvents\":[],\"editorialNote\":\"\",\"failedWorkflow\":false,\"files\":[{\"id\":96453274,\"identity\":\"c631ae65-1db6-407f-ae25-07aada197754\",\"added_by\":\"auto\",\"created_at\":\"2025-11-21 09:59:01\",\"extension\":\"png\",\"order_by\":1,\"title\":\"Figure 1\",\"display\":\"\",\"copyAsset\":false,\"role\":\"figure\",\"size\":202257,\"visible\":true,\"origin\":\"\",\"legend\":\"\\u003cp\\u003e\\u003cstrong\\u003eSCHs for precise ion sieving. a, \\u003c/strong\\u003eFabrication procedure of the SCHs. h-PEI single-chains are grafted at the pore entrances of the nanoporous, subsequently undergoing intrachain crosslinking. Sub-nanometer meshes (~5 Å) are in-situ formed. \\u003cstrong\\u003eb,\\u003c/strong\\u003e Three interactions coexisting between sub-nanometer meshes and cations: ionic dehydration, electrostatic repulsion and coordination affinity. \\u003cstrong\\u003ec,\\u003c/strong\\u003e Graded cation fluxes in SCHs, with the order of K\\u003csup\\u003e+\\u003c/sup\\u003e \\u0026gt; Na\\u003csup\\u003e+\\u003c/sup\\u003e \\u0026gt; Li\\u003csup\\u003e+\\u003c/sup\\u003e \\u0026gt; Sr\\u003csup\\u003e2+\\u003c/sup\\u003e \\u0026gt; Ca\\u003csup\\u003e2+\\u003c/sup\\u003e \\u0026gt; Mg\\u003csup\\u003e2+\\u003c/sup\\u003e \\u0026gt; Co\\u003csup\\u003e2+\\u003c/sup\\u003e \\u0026gt; Cu\\u003csup\\u003e2+\\u003c/sup\\u003e.\\u003cstrong\\u003e d,\\u003c/strong\\u003e Performance comparison of SCHs with other ion-selective materials.\\u003c/p\\u003e\",\"description\":\"\",\"filename\":\"1.png\",\"url\":\"https://assets-eu.researchsquare.com/files/rs-8081993/v1/dca1df46a0185162a4a2a10b.png\"},{\"id\":96388002,\"identity\":\"02ea887e-f5ce-49f9-af53-4654d6677b3b\",\"added_by\":\"auto\",\"created_at\":\"2025-11-20 13:43:54\",\"extension\":\"png\",\"order_by\":2,\"title\":\"Figure 2\",\"display\":\"\",\"copyAsset\":false,\"role\":\"figure\",\"size\":324025,\"visible\":true,\"origin\":\"\",\"legend\":\"\\u003cp\\u003e\\u003cstrong\\u003eAnti-swelling sub-nanometer meshes in SCHs. a,\\u003c/strong\\u003e Digital image of the self-supporting SCH membrane (\\u0026gt; 50 cm\\u003csup\\u003e2\\u003c/sup\\u003e). \\u003cstrong\\u003eb,\\u003c/strong\\u003e The AFM height image of the SCHs. The isolated SCHs have closed height (~5 nm). \\u003cstrong\\u003ec,\\u003c/strong\\u003e The AFM height image of the detached SCHs. The height remains consistent with the attached ones. \\u003cstrong\\u003ed,\\u003c/strong\\u003e The Young's modulus distribution of SCHs and acrylamide hydrogels. The Young's modulus of SCHs is significantly higher than that of acrylamide hydrogels. \\u003cstrong\\u003ee,\\u003c/strong\\u003e The mesh size distribution in SCHs obtained by PALS. The mesh size exhibits a narrow distribution centered around 5 Å. The inset illustrates the distribution of free volume in SCHs. \\u003cstrong\\u003ef,\\u003c/strong\\u003e The simulated SCHs structure. The average mesh size is ~5 Å. \\u003cstrong\\u003eg,\\u003c/strong\\u003e Comparison of swelling ratio and water uptake between SCHs and acrylamide hydrogel, indicating that the SCHs have exceptional anti-swelling property. The insets are AFM height images of a single SCH before and after swelling. \\u003cstrong\\u003eh,\\u003c/strong\\u003e WAXS spectrum of SCHs before and after swelling. The halo at ~1.8 Å\\u003csup\\u003e-1\\u003c/sup\\u003e, regarding the distance between adjacent crosslinks, remains almost no change. \\u003cstrong\\u003ei,\\u003c/strong\\u003e 2D LF-NMR spectrum of the swelling SCHs. The T\\u003csub\\u003e2\\u003c/sub\\u003e value (\\u0026lt; 10 ms) of SCHs indicates the sub-nanometer mesh size.\\u003c/p\\u003e\",\"description\":\"\",\"filename\":\"2.png\",\"url\":\"https://assets-eu.researchsquare.com/files/rs-8081993/v1/0fc9f917dd64cdb7f2b92c61.png\"},{\"id\":96388006,\"identity\":\"dcf017e8-5aae-4053-b980-e114edaa70d5\",\"added_by\":\"auto\",\"created_at\":\"2025-11-20 13:43:54\",\"extension\":\"png\",\"order_by\":3,\"title\":\"Figure 3\",\"display\":\"\",\"copyAsset\":false,\"role\":\"figure\",\"size\":255437,\"visible\":true,\"origin\":\"\",\"legend\":\"\\u003cp\\u003e\\u003cstrong\\u003eGraded cation transport in SCHs. a, \\u003c/strong\\u003eThe I-V curves of different cations in SCHs. The cation conductance follows the order of K\\u003csup\\u003e+\\u003c/sup\\u003e \\u0026gt; Na\\u003csup\\u003e+\\u003c/sup\\u003e \\u0026gt; Li\\u003csup\\u003e+\\u003c/sup\\u003e \\u0026gt; Sr\\u003csup\\u003e2+\\u003c/sup\\u003e \\u0026gt; Ca\\u003csup\\u003e2+\\u003c/sup\\u003e \\u0026gt; Mg\\u003csup\\u003e2+\\u003c/sup\\u003e \\u0026gt; Co\\u003csup\\u003e2+\\u003c/sup\\u003e \\u0026gt; Cu\\u003csup\\u003e2+\\u003c/sup\\u003e. \\u003cstrong\\u003eb, \\u003c/strong\\u003eTemperature-dependent Arrhenius plots for cation transport through the SCHs. \\u003cstrong\\u003ec,\\u003c/strong\\u003e The energy barriers for cation transport. \\u003cstrong\\u003ed,\\u003c/strong\\u003e Cation fluxes in SCHs under different feed solution concentrations. \\u003cstrong\\u003ee,\\u003c/strong\\u003e Cation selectivities in SCHs at different pH levels. The change in selectivity stems from the reversible protonation of nitrogen atoms. \\u003cstrong\\u003ef,\\u003c/strong\\u003e \\u003cem\\u003eJ\\u003c/em\\u003e\\u003csub\\u003eK\\u003c/sub\\u003e, \\u003cem\\u003eJ\\u003c/em\\u003e\\u003csub\\u003eMg\\u003c/sub\\u003e and \\u003cem\\u003eS\\u003c/em\\u003e\\u003csub\\u003eK/Mg\\u003c/sub\\u003e in Cu-coordinated SCHs. Flux and selectivity can be restored by de-coordinating Cu\\u003csup\\u003e2+\\u003c/sup\\u003e with acid. \\u003cstrong\\u003eg,\\u003c/strong\\u003e Performance comparison of SCHs with other ion-selective materials in terms of \\u003cem\\u003eJ\\u003c/em\\u003e\\u003csub\\u003eK\\u003c/sub\\u003e and \\u003cem\\u003eS\\u003c/em\\u003e\\u003csub\\u003eK/Mg\\u003c/sub\\u003e.\\u003c/p\\u003e\",\"description\":\"\",\"filename\":\"3.png\",\"url\":\"https://assets-eu.researchsquare.com/files/rs-8081993/v1/100390d30029f29dbf3c343f.png\"},{\"id\":96388008,\"identity\":\"901b48dd-9b7a-42ea-b983-0b0f052fdef1\",\"added_by\":\"auto\",\"created_at\":\"2025-11-20 13:43:54\",\"extension\":\"png\",\"order_by\":4,\"title\":\"Figure 4\",\"display\":\"\",\"copyAsset\":false,\"role\":\"figure\",\"size\":254523,\"visible\":true,\"origin\":\"\",\"legend\":\"\\u003cp\\u003e\\u003cstrong\\u003eCation transport mechanism in SCHs. a, \\u003c/strong\\u003eThe analysis of accessibility for cations through 5 Å meshes (shaded curve represents the mesh size distribution). The projection of the spheres on the horizontal axis represents their hydrated and dehydrated size, with the dehydration energy labeled on the arrows. \\u003cstrong\\u003eb,\\u003c/strong\\u003e Zeta potential profile and electrostatic potential maps (insets) before/after protonation. \\u003cstrong\\u003ec,\\u003c/strong\\u003e Binding energies of cations with sub-nanometer meshes. \\u003cstrong\\u003ed,\\u003c/strong\\u003eTransport pathways of different cations calculated by DFT include three states: State I (Free), State II (Absorbed), and State III (Traversed). The insets presents the electrostatic potential maps of these three states. \\u003cstrong\\u003ee,\\u003c/strong\\u003e The absorbed barriers (State I - State II) and traversed barriers (State II - State III) of different cations. Among these, the traversed energy barrier determines the cation flux. \\u003cstrong\\u003ef,\\u003c/strong\\u003e Comparison of energy barriers for meshes with different sizes (5, 7, 9 Å). The smaller mesh amplifies the differences in energy barriers, leading to a greater distinction in cation flux.\\u003c/p\\u003e\",\"description\":\"\",\"filename\":\"4.png\",\"url\":\"https://assets-eu.researchsquare.com/files/rs-8081993/v1/977f601cdcacabab69c6bd7a.png\"},{\"id\":96388004,\"identity\":\"42c6c1cc-3099-4ce3-ab0e-831f8cd58655\",\"added_by\":\"auto\",\"created_at\":\"2025-11-20 13:43:54\",\"extension\":\"png\",\"order_by\":5,\"title\":\"Figure 5\",\"display\":\"\",\"copyAsset\":false,\"role\":\"figure\",\"size\":188865,\"visible\":true,\"origin\":\"\",\"legend\":\"\\u003cp\\u003e\\u003cstrong\\u003eMultiple applications of SCHs. a, \\u003c/strong\\u003e\\u003cem\\u003eJ\\u003c/em\\u003e\\u003csub\\u003eLi\\u003c/sub\\u003e, \\u003cem\\u003eJ\\u003c/em\\u003e\\u003csub\\u003eMg\\u003c/sub\\u003e and \\u003cem\\u003eS\\u003c/em\\u003e\\u003csub\\u003eLi/Mg\\u003c/sub\\u003e at different \\u003cem\\u003eR\\u003c/em\\u003e\\u003csub\\u003eLi/Mg \\u003c/sub\\u003e(10\\u003csup\\u003e-4\\u003c/sup\\u003e-10). \\u003cstrong\\u003eb,\\u003c/strong\\u003e The content of Li\\u003csup\\u003e+\\u003c/sup\\u003e and Mg\\u003csup\\u003e2+\\u003c/sup\\u003e on the receiving side during a 10-day test (feed solution: 10\\u003csup\\u003e-3\\u003c/sup\\u003e mol·L\\u003csup\\u003e-1\\u003c/sup\\u003e of Li\\u003csup\\u003e+\\u003c/sup\\u003e and 1 mol·L\\u003csup\\u003e-1\\u003c/sup\\u003e of Mg\\u003csup\\u003e2+\\u003c/sup\\u003e mixture). \\u003cstrong\\u003ec,\\u003c/strong\\u003e The single-pass removal efficiency of heavy metal ions at different concentrations. The test was conducted using a pressure filtration device. \\u003cstrong\\u003ed,\\u003c/strong\\u003e The multiple removal efficiency of heavy metal ions. After 3-time removal operation, the concentration dropped below the detection limit of ICP-MS (10\\u003csup\\u003e-3\\u003c/sup\\u003e ppm). \\u003cstrong\\u003ee,\\u003c/strong\\u003e The osmotic energy harvesting performance of SCHs. The osmotic energy arises from the difference in ion transport rates (0.1 mol·L\\u003csup\\u003e-1\\u003c/sup\\u003e K\\u003csup\\u003e+\\u003c/sup\\u003e vs. cations of the same concentration). \\u003cstrong\\u003ef,\\u003c/strong\\u003e The osmotic energy harvesting performance of SCHs using actual water sources. The receiving chamber is consistently supplied with river water, whereas the infiltration chamber is allocated various common aqueous solutions.\\u003c/p\\u003e\",\"description\":\"\",\"filename\":\"5.png\",\"url\":\"https://assets-eu.researchsquare.com/files/rs-8081993/v1/277cf25706b640864b4d3f3d.png\"},{\"id\":101118964,\"identity\":\"3bae634d-b8ab-4107-a4a4-38c6b5af0194\",\"added_by\":\"auto\",\"created_at\":\"2026-01-26 08:46:48\",\"extension\":\"pdf\",\"order_by\":0,\"title\":\"\",\"display\":\"\",\"copyAsset\":false,\"role\":\"manuscript-pdf\",\"size\":1997103,\"visible\":true,\"origin\":\"\",\"legend\":\"\",\"description\":\"\",\"filename\":\"manuscript.pdf\",\"url\":\"https://assets-eu.researchsquare.com/files/rs-8081993/v1/a8134dd0-070c-4674-af63-37b355820861.pdf\"},{\"id\":96388009,\"identity\":\"00405884-5342-46be-b819-15547f619712\",\"added_by\":\"auto\",\"created_at\":\"2025-11-20 13:43:55\",\"extension\":\"docx\",\"order_by\":1,\"title\":\"\",\"display\":\"\",\"copyAsset\":false,\"role\":\"supplement\",\"size\":14321619,\"visible\":true,\"origin\":\"\",\"legend\":\"Targeted ion sieving via single-chain hydrogels with sub-nanometer meshes\",\"description\":\"\",\"filename\":\"SI.docx\",\"url\":\"https://assets-eu.researchsquare.com/files/rs-8081993/v1/691ae7eddb0e3d8fb7e3c34e.docx\"},{\"id\":96388007,\"identity\":\"6f46561f-e867-436a-8763-2e81b2c1c873\",\"added_by\":\"auto\",\"created_at\":\"2025-11-20 13:43:54\",\"extension\":\"docx\",\"order_by\":2,\"title\":\"\",\"display\":\"\",\"copyAsset\":false,\"role\":\"supplement\",\"size\":2765769,\"visible\":true,\"origin\":\"\",\"legend\":\"\",\"description\":\"\",\"filename\":\"ExtendedDataFig.docx\",\"url\":\"https://assets-eu.researchsquare.com/files/rs-8081993/v1/320692930ac9cbf941f0e10d.docx\"}],\"financialInterests\":\"There is \\u003cb\\u003eNO\\u003c/b\\u003e Competing Interest.\",\"formattedTitle\":\"Targeted ion sieving via single-chain hydrogels with sub-nanometer meshes\",\"fulltext\":[{\"header\":\"Main\",\"content\":\"\\u003cp\\u003eIon sieving is a critical process in the separation technologies\\u003csup\\u003e1\\u003c/sup\\u003e, enabling selective transport of ions based on size, charge, hydration energy and chemical affinity\\u003csup\\u003e2\\u003c/sup\\u003e. Its importance spans water purification\\u003csup\\u003e3\\u003c/sup\\u003e, energy storage (batteries\\u003csup\\u003e4\\u003c/sup\\u003e, capacitors\\u003csup\\u003e5\\u003c/sup\\u003e), and environmental protection\\u003csup\\u003e6\\u003c/sup\\u003e. The development of ion sieving has been driven by the demand for highly efficient and selective materials\\u003csup\\u003e7\\u003c/sup\\u003e. To achieve precise ion sieving, membranes must possess sub-nanometer pores that match the diameter of the target ions\\u003csup\\u003e8\\u003c/sup\\u003e. Additionally, fast ion sieving requires minimizing the ion transport pathway length\\u003csup\\u003e9\\u003c/sup\\u003e. Recently, ultrathin crystalline porous materials such as graphene (oxide)\\u003csup\\u003e10\\u003c/sup\\u003e, MXenes\\u003csup\\u003e11\\u003c/sup\\u003e, metal/covalent organic frameworks\\u003csup\\u003e12,13\\u003c/sup\\u003e, have demonstrated sub-nanometer pores, facilitating high-throughput, energy-efficient ion sieving. However, translating this sub-nanoconfinement strategy to traditional polymers—despite their superior processability—remains a significant challenge.\\u003c/p\\u003e\\n\\u003cp\\u003eDue to the chemical controllability and size tunability, hydrogels that contain 3D nanomeshes formed by hydrophilic polymer chains are promising candidates for ion separation\\u003csup\\u003e14,15\\u003c/sup\\u003e. These nanomeshes serve as scaffolds that facilitate the diffusion of (macro)molecules, ions, and other substances through the hydrogel matrix\\u003csup\\u003e16\\u003c/sup\\u003e. However, conventional hydrogels typically exhibit mesh sizes ranging from 5 to 100 nanometers\\u003csup\\u003e17\\u003c/sup\\u003e—far exceeding the dimensions of hydrated ions—which severely limits their ion sieving performance. Numerous attempts have been made to reduce the mesh size\\u003csup\\u003e18,19,20,21\\u003c/sup\\u003e, particularly through increased crosslinking density. Unfortunately, highly crosslinked hydrogel membranes often become brittle and prone to mechanical failure during operation\\u003csup\\u003e22\\u003c/sup\\u003e.\\u0026nbsp;Thus, achieving\\u0026nbsp;sub-nanometer meshes\\u0026nbsp;in large-scale hydrogel membranes\\u0026nbsp;constitutes a major obstacle\\u003csup\\u003e23\\u003c/sup\\u003e.\\u003c/p\\u003e\\n\\u003cp\\u003eHere, we present an in-situ solid-phase synthetic strategy for fabricating SCHs with sub-nanometer meshes (~5 Å) that enable precise ion sieving (Fig. 1a). On a home-made nanopore membrane\\u003csup\\u003e24,25\\u003c/sup\\u003e, hyperbranched-polyethyleneimine (h-PEI) with a proper size is discretely grafted. By introducing crosslink agents at h-PEI collapsed conformation, intra-chain crosslinking occurs and SCHs are in-situ formed, successfully avoiding inter-chain crosslinking. The SCHs have sub-nanometer meshes (~5 Å), much smaller than the precursor h-PEI (~2.4 nm)\\u003csup\\u003e25\\u003c/sup\\u003e. This unique structure creates sub-nanoscale confinement composed of repeat units and crosslinkers, which governs ion transport through three key interactions:\\u0026nbsp;ionic dehydration\\u003csup\\u003e26\\u003c/sup\\u003e, electrostatic repulsion\\u003csup\\u003e27\\u003c/sup\\u003e, and coordination affinity\\u003csup\\u003e28\\u003c/sup\\u003e. These interactions collectively modulate ion transport energy barriers (Fig. 1b). As a result, the\\u0026nbsp;SCHs\\u0026nbsp;present\\u0026nbsp;graded\\u0026nbsp;cation transport\\u0026nbsp;accompanied by exceptional ion selectivity, enabling precise separation of target ions (Fig. 1c). Meanwhile, benefiting from the single-chain\\u0026nbsp;thickness, the target ion transport rate in SCHs is remarkably fast.\\u0026nbsp;Our SCH concept, showing great advantages over traditional materials (Fig. 1d),\\u0026nbsp;provides\\u0026nbsp;a\\u0026nbsp;promising template for future applications in fields such as energy, environmental science, and bionics.\\u003c/p\\u003e\\n\\u003cp\\u003e\\u003cstrong\\u003eP\\u003c/strong\\u003e\\u003cstrong\\u003ereparation of SCH\\u003c/strong\\u003e\\u003cstrong\\u003es\\u003c/strong\\u003e\\u003c/p\\u003e\\n\\u003cp\\u003eThe SCHs are fabricated in situ on a custom-designed nanopore membrane through a solid-phase synthesis process. Conventional approaches for achieving intrachain crosslinking require disentangling polymer chains from aggregated states into isolated single-chain states in dilute solution (concentration below the critical overlap concentration \\u003cem\\u003ec\\u003c/em\\u003e*~0.1 mg·mL\\u003csup\\u003e-1\\u003c/sup\\u003e). The fundamental limitation severely hinders large-scale SCH production. To overcome this challenge, we employ a home-made nanopore membrane\\u003csup\\u003e24\\u003c/sup\\u003e as the template for space-specific h-PEI grafting. First, by self-assembly of the block copolymer (BCP) under tailored hierarchical boundary conditions, we get large-area, transmembrane honeycomb-like nanopores (Supplementary Fig. 1). The nanopores have diameter (\\u003cem\\u003ed\\u003c/em\\u003e) of ~8 nm, center-to-center distance (\\u003cem\\u003eD\\u003c/em\\u003e) of ~25 nm, and carboxyl groups on the nanopore inner surface (Extended Data Fig. 1). Next, h-PEI is discretely grafted through amidation reaction (Supplementary Fig. 2). The contour size of h-PEI is crucially important. We select h-PEI with a size of ~21 nm (Supplementary Fig. 3), located between \\u003cem\\u003ed\\u003c/em\\u003e and \\u003cem\\u003eD\\u003c/em\\u003e. In this way, unexpected continuous h-PEI layer\\u003csup\\u003e25\\u003c/sup\\u003e is successfully avoided, and high areal density (~10\\u003csup\\u003e11\\u0026nbsp;\\u003c/sup\\u003ecm\\u003csup\\u003e-2\\u003c/sup\\u003e) of isolated h-PEI is realized (Supplementary Fig. 4a).\\u0026nbsp;\\u003c/p\\u003e\\n\\u003cp\\u003eFinally, cyanuric chloride (CC) is introduced to intra-chain crosslink the h-PEI chains at their collapsed conformation, in-situ forming SCHs. Single-chain nanoparticles have attracted dense interests\\u003csup\\u003e29\\u003c/sup\\u003e, all of which are solution-based systems. Our solid-phase synthesis concept allows for up-scaled fabrication of SCHs (Fig. 2a). It’s worth noting that the uncrosslinked h-PEI is swollen in water, where the chains overlap each other, containing nanometer-size void\\u003csup\\u003e25\\u003c/sup\\u003e and failing in precise ion sieving. If the crosslinking reaction occurs at the expanded conformation, inter-chain crosslinking is inevitable and bigger-size continuous layer is formed. After detachment, we can see ~5-nm-thickness nanosheets on the atomic force microscope (AFM) image (Supplementary Fig. 5).\\u003c/p\\u003e\\n\\u003cp\\u003eThe successful SCH formation is experimentally verified. On the AFM height images, we can see isolated nanodots with average height of ~5 nm (Fig. 2b). SCHs can be dissociated from the membrane by hydrolysis reaction. After breaking the amide linkages with alkaline, the detached SCHs are clearly visible on the AFM image (Fig. 2c), which also have an average height of ~5 nm. No size-extended particle is seen, indicating inter-chain crosslinking is successfully avoided.\\u0026nbsp;Furthermore, the detached SCHs are well-dissolved in common solvents, different from the inter-chain crosslinked nanosheets and traditional hydrogels. The good solubility facilitates their verification without special treatments. Gel permeation chromatography (GPC) is proved to be a powerful tool to monitor single-chain particles\\u003csup\\u003e30\\u003c/sup\\u003e. The SCHs have a markedly lower apparent molecular weight than the original h-PEI (Supplementary Fig. 6). Structural characterization by \\u003csup\\u003e13\\u003c/sup\\u003eC nuclear magnetic resonance\\u0026nbsp;(NMR) spectroscopy\\u0026nbsp;reveals characteristic peaks at 174 and 153 ppm are attributed to the triazine units in CC (Supplementary Fig. 7)\\u003csup\\u003e31\\u003c/sup\\u003e. This is further corroborated by X-ray photoelectron spectroscopy (XPS), which shows a distinct peak at 400.5 eV attributed to CC\\u003csup\\u003e32\\u003c/sup\\u003e. Quantitative analysis indicates a crosslinking degree of 0.75 for fully crosslinked SCHs (Extended Data Fig. 2). Remarkably, the fully crosslinked SCHs exhibit extraordinary mechanical properties, with a Young’s modulus reaching ~4.3 GPa, significantly surpassing conventional hydrogels (Fig. 2d). The exceptional mechanical strength stems from the single-chain architecture, where stress is efficiently transferred and uniformly distributed throughout the crosslinked network prior to chain fracture\\u003csup\\u003e33\\u003c/sup\\u003e. This unique stress dispersion mechanism at the single-chain scale effectively suppresses crack propagation, granting SCHs unprecedented mechanical stability. Moreover, because of the covalent connection of SCHs and the nanopores, the mechanical strength of the overall membrane is significantly enhanced, compared to the nanoporous template (Supplementary Fig. 8).\\u003c/p\\u003e\\n\\u003cp\\u003e\\u003cstrong\\u003eAnti-swelling sub-nanometer meshes\\u003c/strong\\u003e\\u003c/p\\u003e\\n\\u003cp\\u003eThe SCHs with tailored crosslinking degrees feature 3D meshes composed of repeat units and crosslinking groups. Unlike conventional hydrogels where mesh sizes depend on chain segments, SCHs achieve sub-nanometer confinement at the length scale of repeat units. This unique sub-nanometer architecture is confirmed experimentally and theoretically. From positron annihilation lifetime spectroscopy (PALS) results, we can see that the mesh size is predominantly distributed around 5 Å, constructing a free volume of 60 Å\\u003csup\\u003e3\\u0026nbsp;\\u003c/sup\\u003e(Fig. 2e). The mesh sizes have an exceptionally narrow distribution, with a full width at half maximum of only ~1.2 Å, which underscores the superior uniformity among the advanced ion sieves. Molecular dynamics (MD) simulations (Extended Data Fig. 3) show that SCHs possess 3D interpenetrating networks, with the feature size of ~5 Å (Fig. 2f).\\u0026nbsp;\\u003c/p\\u003e\\n\\u003cp\\u003eThe SCHs exhibit exceptional anti-swelling properties due to each repeat unit being firmly immobilized by crosslinking groups, which completely restricts rotational freedom of chain segments and limits deformation to slight bond length and angle changes upon solvent penetration. As shown in Fig. 2g, SCHs display only 18.4% water uptake with a minimal 1.2% volume expansion—orders of magnitude lower than traditional acrylamide hydrogels (Supplementary Fig. 4b,9,10). After half year under water, the membrane remains virtually unchanged (Supplementary Fig. 11). AFM observation indicates no obvious damage upon the SCH membrane (Supplementary Fig. 4c). Such excellent stability benefits the practical applications. Wide-angle X-ray scattering (WAXS) spectrum confirm mesh size retention after swelling (Fig. 2h and Extended Data Fig. 4), with the characteristic scattering halo at ~1.8 Å\\u003csup\\u003e-1\\u003c/sup\\u003e (corresponding to the repeat unit length between crosslinks) remaining unchanged. Additional 2D low-field nuclear magnetic resonance (2D LF-NMR) analysis (Fig. 2i and Supplementary Fig. 12) reveals transverse relaxation time (T\\u003csub\\u003e2\\u003c/sub\\u003e) below 10\\u0026nbsp;ms, confirming sub-nanometer void sizes\\u003csup\\u003e34\\u003c/sup\\u003e.\\u0026nbsp;The short T\\u003csub\\u003e2\\u003c/sub\\u003e of D\\u003csub\\u003e2\\u003c/sub\\u003eO in SCHs (~1.2 ms) corresponds to a long water motional correlation time (τ\\u003csub\\u003ec\\u003c/sub\\u003e~10\\u003csup\\u003e2\\u003c/sup\\u003e ns), demonstrating severely restricted water diffusion\\u003csup\\u003e35\\u003c/sup\\u003e.\\u0026nbsp;The exclusive presence of bound water (Supplementary Fig. 13) further confirms the outstanding anti-swelling properties of SCHs, with no detectable free water observed.\\u003c/p\\u003e\\n\\u003cp\\u003e\\u003cstrong\\u003eGraded cation transport in SCHs\\u003c/strong\\u003e\\u003c/p\\u003e\\n\\u003cp\\u003eSCHs demonstrate exceptionally high target cation flux, enabled by their ultra-short transport pathways inherent to the single-chain architecture. As shown in Fig. 3a, the K\\u003csup\\u003e+\\u003c/sup\\u003e conductivity reaches 7.9 mS·cm\\u003csup\\u003e-1\\u003c/sup\\u003e. Correspondingly, under a 2 V applied voltage, the K\\u003csup\\u003e+\\u003c/sup\\u003e flux (\\u003cem\\u003eJ\\u003c/em\\u003e\\u003csub\\u003eK\\u003c/sub\\u003e) achieves 5.8 mol·m\\u003csup\\u003e-2\\u003c/sup\\u003e·h\\u003csup\\u003e-1\\u003c/sup\\u003e, representing the state-of-the-art performance for ion-selective membranes (Supplementary Table 1,2). The sub-nanometer mesh microenvironment differentially modulates cation transport, resulting in graded ion permeation following the sequence: K\\u003csup\\u003e+\\u003c/sup\\u003e \\u0026gt; Na\\u003csup\\u003e+\\u003c/sup\\u003e \\u0026gt; Li\\u003csup\\u003e+\\u003c/sup\\u003e \\u0026gt; Sr\\u003csup\\u003e2+\\u003c/sup\\u003e \\u0026gt; Ca\\u003csup\\u003e2+\\u003c/sup\\u003e \\u0026gt; Mg\\u003csup\\u003e2+\\u003c/sup\\u003e \\u0026gt; Co\\u003csup\\u003e2+\\u003c/sup\\u003e \\u0026gt; Cu\\u003csup\\u003e2+\\u003c/sup\\u003e. The differences arise from cation-specific energy barriers imposed by the sub-nanometer meshes. In contrast, the precursor h-PEI nanochannels are not capable of precise ion sieving\\u003csup\\u003e25\\u003c/sup\\u003e. To quantify these barriers, we analyzed the temperature-dependent cation fluxes under an electric field. The observed linear relationship between logarithm of cation flux and 1/T (Fig. 3b) reveals activation energies that inversely correlated with cation fluxes (Fig. 3c)—lower barriers correspond to higher permeation rates. Notably, concentration gradient-driven transport maintains the same selectivity order while amplifying flux differences between cations by orders of magnitude compared to electrically-driven transport (Fig. 3d), further demonstrating the remarkable ion discrimination capability of SCHs.\\u003c/p\\u003e\\n\\u003cp\\u003eThe ion transport in SCHs can be precisely regulated through mesh size engineering. The K\\u003csup\\u003e+\\u003c/sup\\u003e flux (\\u003cem\\u003eJ\\u003c/em\\u003e\\u003csub\\u003eK\\u003c/sub\\u003e) can be continuously tuned from 0.4 to 11.3 mol·m\\u003csup\\u003e-2\\u003c/sup\\u003e·h\\u003csup\\u003e-1\\u003c/sup\\u003e by progressively increasing the mesh sizes (Extended Data Fig. 5). When the mesh size is minimized, the membrane achieves optimal mono-/divalent ion selectivity, exemplified by a K\\u003csup\\u003e+\\u003c/sup\\u003e/Mg\\u003csup\\u003e2+\\u003c/sup\\u003e selectivity (\\u003cem\\u003eS\\u003c/em\\u003e\\u003csub\\u003eK/Mg\\u003c/sub\\u003e) of ~1400. Besides the size influence, the ion transport properties of SCHs can be modulated by adjusting the mesh microenvironment, where abundant nitrogen atoms dynamically interact with either protons or transition metal ions. pH-dependent studies reveal that progressive protonation of nitrogen atoms at lower pH values reduces cation fluxes, with \\u003cem\\u003eJ\\u003c/em\\u003e\\u003csub\\u003eK\\u003c/sub\\u003e showing the smallest decrease, thereby enhancing K\\u003csup\\u003e+\\u003c/sup\\u003e selectivity over other cations (Fig. 3e, Extended Data Fig. 5). Notably, Co\\u003csup\\u003e2+\\u0026nbsp;\\u003c/sup\\u003eexhibits anomalous behavior with increasing \\u003cem\\u003eJ\\u003c/em\\u003e\\u003csub\\u003eCo\\u003c/sub\\u003e and decreasing\\u003cem\\u003e\\u0026nbsp;S\\u003c/em\\u003e\\u003csub\\u003eK/Co\\u003c/sub\\u003e at lower pH, which will be discussed later.\\u003c/p\\u003e\\n\\u003cp\\u003eThrough coordination chemistry modulation using Cu\\u003csup\\u003e2+\\u003c/sup\\u003e as a model transition metal ion (Extended Data Fig. 6), we observe remarkable selectivity enhancement. As shown in Fig. 3f, \\u003cem\\u003eJ\\u003c/em\\u003e\\u003csub\\u003eK\\u003c/sub\\u003e remains stable, while \\u003cem\\u003eJ\\u003c/em\\u003e\\u003csub\\u003eMg\\u003c/sub\\u003e decreases drastically, achieving record-high \\u003cem\\u003eS\\u003c/em\\u003e\\u003csub\\u003eK/Mg\\u003c/sub\\u003e selectivity (~22,000) that surpasses previous ion sieves by an order of magnitude. This coordination effect is fully reversible, as evidenced by restored flux and selectivity after Cu\\u003csup\\u003e2+\\u003c/sup\\u003e removal via acid treatment (Supplementary Fig. 14). SCHs uniquely overcome traditional flux-selectivity trade-off through two key advantages: (1) ultra-short transport pathways enabling high target ion flux, and (2) sub-nanometer microenvironment providing exceptional selectivity. This dual capability yields superior performance in critical applications like seawater desalination and potassium extraction compared to conventional ion-selective membranes\\u0026nbsp;(Fig. 3g and Supplementary Table. 2). Practical viability is further demonstrated through robust operation under long-term testing, large-scale deployment, and complex mixed-salt conditions (Supplementary Fig. 15-18).\\u003c/p\\u003e\\n\\u003cp\\u003e\\u003cstrong\\u003eThe mechanism of graded cation transport\\u003c/strong\\u003e\\u003c/p\\u003e\\n\\u003cp\\u003eThe graded cation transport behavior in SCHs emerges from three synergistic interactions: ionic dehydration (Ⅰ), electrostatic repulsion (Ⅱ), and coordination affinity (Ⅲ), as shown in Fig. 1b. For interaction I, the sub-nanometer mesh dimensions (comparable to cation sizes) force partial or complete shedding of hydration shells during transport. This endothermic dehydration process contributes significantly to the energy barrier, with smaller cations (e.g., K\\u003csup\\u003e+\\u003c/sup\\u003e) undergoing only partial dehydration, while larger cations (e.g., Mg\\u003csup\\u003e2+\\u003c/sup\\u003e) require complete dehydration, leading to slower transport rates (Fig. 4a, Supplementary Table. 3).\\u003c/p\\u003e\\n\\u003cp\\u003eInteraction II arises from positively charged protonated nitrogen atoms within the mesh, generating cation repulsion (Fig. 4b and Supplementary Fig. 19). The repulsive force follows two key relationships: (1) direct proportionality to cation valence (stronger for multivalent ions), and (2) inverse-square dependence on mesh-ion distance\\u003csup\\u003e36\\u003c/sup\\u003e. Crucially, the sub-nanometer confinement produces stronger electrostatic effects than conventional nanochannels. Furthermore, the mesh dimensions (compatible to the Debye length) prevent effective charge screening by anions\\u003csup\\u003e37\\u003c/sup\\u003e, enabling SCHs to maintain exceptional cation selectivity\\u0026nbsp;even at high ionic strengths (\\u0026gt; 0.1 mol·L\\u003csup\\u003e-1\\u003c/sup\\u003e), a regime where nanochannel-based systems typically fail.\\u003c/p\\u003e\\n\\u003cp\\u003eFor Interaction III, nitrogen atoms exhibit specific coordination affinities toward different cations, thereby creating differential cation fluxes. In the sub-nanometer meshes, nitrogen atoms can directly coordinate with bare cations, with the affinity being stronger than in larger nanostructures. Cations with stronger coordination affinity partition more effectively into sub-nanometer meshes, though this is typically accompanied by reduced diffusivity. Compared to alkali and alkaline earth metal ions, transition metal ions possess partially filled d-orbitals (e.g., Co\\u003csup\\u003e2+\\u003c/sup\\u003e, [Ar]3d\\u003csup\\u003e7\\u003c/sup\\u003e),\\u0026nbsp;which enables significantly stronger coordination with nitrogen atoms\\u003csup\\u003e38\\u003c/sup\\u003e. As shown in Fig. 4c, the binding energy between the meshes and transition metal ions (Co\\u003csup\\u003e2+\\u003c/sup\\u003e, Cu\\u003csup\\u003e2+\\u003c/sup\\u003e) becomes excessively strong, nearly completely inhibiting their diffusion. At low pH conditions, transition metal ions become de-coordinated from nitrogen atoms due to proton competition, which promotes their diffusion (Supplementary Fig. 20). This pH-dependent de-coordination mechanism explains why \\u003cem\\u003eS\\u003c/em\\u003e\\u003csub\\u003eK/Co\\u003c/sub\\u003e decreases at lower pH values. The pre-occupation of coordination sites by the strongly-bound Cu\\u003csup\\u003e2+\\u003c/sup\\u003e significantly suppresses the partitioning of other high-affinity cations like Mg\\u003csup\\u003e2+\\u003c/sup\\u003e into the sub-nanometer meshes, while exerting a comparatively minor influence on the transport of low-affinity ions such as K\\u003csup\\u003e+\\u003c/sup\\u003e (Supplementary Fig. 21-23).\\u003c/p\\u003e\\n\\u003cp\\u003eWe employed Density Functional Theory (DFT) to comprehensively analyze the synergistic effects of the three aforementioned interactions. To simplify the calculations, we modeled the cation transport process within a single sub-nanometer mesh. As shown in Fig. 4d and Supplementary Fig. 24-31, the fully hydrated free cation (State I) is first absorbed by the mesh (State II), then traverses through it (State III). The process involves two distinct energy barriers: an absorption barrier and a traversal barrier. Fig. 4e reveals that absorption barriers are relatively small (sometimes even negative, indicating thermodynamically favorable), while the traversal barriers show higher positive values and\\u0026nbsp;serve as the primary contributor to the total energy barrier. The order of traversal barriers for different cations matches both the experimentally measured barriers (Fig. 3c) and shows an inverse correlation with cation flux (Fig. 3d). As the secondary factor, the absorption barriers also influence cation transport behavior. For K\\u003csup\\u003e+\\u003c/sup\\u003e, its absorption barrier is negative, indicating efficient mesh partitioning. For Na\\u003csup\\u003e+\\u003c/sup\\u003e, Li\\u003csup\\u003e+\\u003c/sup\\u003e, Sr\\u003csup\\u003e2+\\u003c/sup\\u003e, and Ca\\u003csup\\u003e2+\\u003c/sup\\u003e, they exhibit small positive absorption barriers, suggesting moderate partitioning resistance. For Mg\\u003csup\\u003e2+\\u003c/sup\\u003e, Co\\u003csup\\u003e2+\\u003c/sup\\u003e, and Cu\\u003csup\\u003e2+\\u003c/sup\\u003e, they display negative absorption barriers but significantly positive traversal barriers, making subsequent diffusion difficult after initial partitioning.\\u003c/p\\u003e\\n\\u003cp\\u003eThe cation transport barriers exhibit a pronounced size dependence, where sub-nanometer confinement dramatically modulates all three interactions\\u003csup\\u003e39\\u003c/sup\\u003e, as systematically investigated for meshes of 5, 7, 9 Å (Supplementary Fig. 28-39). Three key size-dependent effects emerge: (1) absorption barriers decrease with increasing the mesh size, promoting cation partitioning; (2) traversal barriers become more uniform across different cations in larger meshes (Fig. 4f); and (3) barrier differentiation amplifies at smaller dimensions—exemplified by K\\u003csup\\u003e+\\u003c/sup\\u003e-Mg\\u003csup\\u003e2+\\u003c/sup\\u003e traversal barrier difference decreasing from 65.9 kcal·mol\\u003csup\\u003e-1\\u003c/sup\\u003e (5 Å), to 42.9 (7 Å) and 14.3 kcal·mol\\u003csup\\u003e-1\\u0026nbsp;\\u003c/sup\\u003e(9 Å). The computational trend quantitatively corroborates experimental observations of enhanced selectivity in smaller mesh SCHs.\\u003c/p\\u003e\\n\\u003cp\\u003e\\u003cstrong\\u003eTarget ion sieving in diverse solutions\\u003c/strong\\u003e\\u003c/p\\u003e\\n\\u003cp\\u003eSCHs demonstrate programmable cation selectivity coupled with high-throughput transport, establishing them as a versatile platform for advanced separation technologies. Unlike conventional materials constrained by the flux-selectivity trade-off, SCHs simultaneously achieve both high selectivity and exceptional ion flux. Owing to their high monovalent cation flux and exceptional mono-/divalent cation selectivity, the SCH membrane is suitable for nanofiltration process in seawater desalination. Under a given bias pressure (0.85 bar), the SCH membrane demonstrates both high water flux (100-200 LMH·bar\\u003csup\\u003e-1\\u003c/sup\\u003e) and outstanding rejection rates for divalent cations (\\u0026gt; 99%), as detailed in Supplementary Table 4 and 5. Besides, SCHs have emerged as a universal platform capable of diverse industrial applications including lithium extraction, wastewater treatment, and osmotic energy conversion.\\u003c/p\\u003e\\n\\u003cp\\u003eIn lithium extraction applications, SCHs exhibit breakthrough performance with exceptional \\u003cem\\u003eS\\u003c/em\\u003e\\u003csub\\u003eLi/Mg\\u003c/sub\\u003e and high \\u003cem\\u003eJ\\u003c/em\\u003e\\u003csub\\u003eLi\\u003c/sub\\u003e, enabling them suitable for extracting this energy metal from salt lakes. As shown in Fig. 5a, \\u003cem\\u003eJ\\u003c/em\\u003e\\u003csub\\u003eLi\\u003c/sub\\u003e consistently exceeds \\u003cem\\u003eJ\\u003c/em\\u003e\\u003csub\\u003eMg\\u003c/sub\\u003e across different Li\\u003csup\\u003e+\\u003c/sup\\u003e/Mg\\u003csup\\u003e2+\\u003c/sup\\u003e molar ratios (\\u003cem\\u003eR\\u003c/em\\u003e\\u003csub\\u003eLi/Mg\\u003c/sub\\u003e, ranging from 10:1 to 1:10,000).\\u0026nbsp;At the lowest \\u003cem\\u003eR\\u003c/em\\u003e\\u003csub\\u003eLi/Mg\\u003c/sub\\u003e, the \\u003cem\\u003eS\\u003c/em\\u003e\\u003csub\\u003eLi/Mg\\u003c/sub\\u003e reaches as high as ~49,000. In Fig. 5b, we select a lower \\u003cem\\u003eR\\u003c/em\\u003e\\u003csub\\u003eLi/Mg\\u003c/sub\\u003e to simulate salt lake water sources (1:1,000, which is already lower than actual salt lakes\\u003csup\\u003e40\\u003c/sup\\u003e) to test the lithium extraction performance of SCHs. Over a 10-day test, the \\u003cem\\u003eS\\u003c/em\\u003e\\u003csub\\u003eLi/Mg\\u003c/sub\\u003e reaches ~16,000,\\u0026nbsp;while \\u003cem\\u003eJ\\u003c/em\\u003e\\u003csub\\u003eLi\\u003c/sub\\u003e is calculated at 15.0 mol·m\\u003csup\\u003e-2\\u003c/sup\\u003e·h\\u003csup\\u003e-1\\u003c/sup\\u003e. The performance represents the highest value among current lithium extraction materials (Supplementary Table. 6).\\u0026nbsp;The unprecedented \\u003cem\\u003eS\\u003c/em\\u003e\\u003csub\\u003eLi/Mg\\u003c/sub\\u003e under lower \\u003cem\\u003eR\\u003c/em\\u003e\\u003csub\\u003eLi/Mg\\u003c/sub\\u003e highlights SCHs’ potential to outperform conventional methods like evaporative concentration and absorption-based systems.\\u003c/p\\u003e\\n\\u003cp\\u003eFor wastewater treatment, SCHs can be utilized to remove heavy metal ions from the sewage. As shown in Fig. 5c, the concentrations of wastewater containing different types and concentrations of heavy metal ions are reduced by ~1,000 times after filtration through the SCH membrane (Supplementary Fig. 40). We utilize SCHs to filtrate simulated wastewater containing eight heavy metal cations, each at a concentration of 100 ppm. After the first filtration, over 99% of heavy metal ions are removed. After the second filtration, the concentration is below the safe discharge limit. After the third filtration, the concentration is beneath the ICP-MS detection limit (10\\u003csup\\u003e-3\\u003c/sup\\u003e ppm).\\u0026nbsp;The SCHs-based wastewater treatment method aligns with the emerging technological paradigm of sludge reduction and resource recovery, while also conserving energy and reducing operational costs.\\u003c/p\\u003e\\n\\u003cp\\u003eFor osmotic energy harvesting, SCHs mimic the electrocyte cells of electric eels that generate ion gradient-driven currents through selective transmembrane transport between solutions of similar concentrations\\u003csup\\u003e41\\u003c/sup\\u003e. By leveraging preferential cation diffusion (K\\u003csup\\u003e+\\u003c/sup\\u003e over Mg\\u003csup\\u003e2+\\u003c/sup\\u003e), SCHs significantly expand the application scope for salinity gradient energy harvesting. As shown in Fig. 5e, SCHs achieve a remarkable power density of 6.7 W·m\\u003csup\\u003e-2\\u003c/sup\\u003e under equal concentration conditions. Our system employs river water in the receiving chamber while utilizing various natural aqueous solutions in the diffusion chamber—water source pairs traditionally considered unsuitable for osmotic energy harvesting due to their lower salinity ratio compared to seawater/river water system (Supplementary Table. 7). Remarkably, this biomimetic design achieves power densities ranging from 1.1 W·m\\u003csup\\u003e-2\\u003c/sup\\u003e to 25.1 W·m\\u003csup\\u003e-2\\u003c/sup\\u003e (Fig. 5f and Supplementary Fig. 41-43), effectively bridging the gap between low-salinity resources and practical energy output.\\u0026nbsp;Deploying SCH membrane in estuarine or industrial wastewater discharge zones could unlock gigawatt-scale renewable energy potential\\u003csup\\u003e42\\u003c/sup\\u003e.\\u003c/p\\u003e\\n\\u003cp\\u003eIn conclusion, we demonstrate high-density SCHs with sub-nanometer (~5 Å) meshes constructed by repeat units and crosslinking groups, in big contrast to the nano-meshes in the traditional hydrogels which are typically surrounded by chain segments. Due to the sub-nanometer size, the SCH meshes provide tailored interaction with cations including ionic dehydration, electrostatic repulsion, and coordination affinity. As a result, the cation flux through the SCHs is graded, ensuring a versatile platform for on-demand ion sieving. In many critical applications such as seawater desalination, lithium extraction, heavy metal ion removal, and so on, our SCHs demonstrate state-of-the-art performance. The SCH design strategy provides inspiration for novel separation membranes, and paves the way for energy-lean industrial processes.\\u003c/p\\u003e\"},{\"header\":\"Methods\",\"content\":\"\\u003cp\\u003e\\u003cstrong\\u003eFabrication of large-area nanoporous membrane\\u003c/strong\\u003e\\u003c/p\\u003e\\n\\u003cp\\u003eLarge-area nanoporous membranes were prepared according to our previously reported procedure with a few minor modifications\\u003csup\\u003e24\\u003c/sup\\u003e. BCP solution in toluene (4 wt%) was spin-coated at 3,000 rpm for 60 s onto silicon wafers pre-coated with a 200-nm-thickness PSS sacrificial layer. The membrane was initially dried under a nitrogen atmosphere (25 ℃) for 2 h to remove residual solvents. Subsequently, the solvent annealing process was carried out in a sealed chamber saturated with a 1:1 (v/v) water-acetone mixed solvent vapor atmosphere at 25 ℃ for 24 h. The mixed solvent was preheated to 40 ℃ to increase vapor pressure, ensuring uniform solvent diffusion into the BCP membrane. Post-annealing, the membrane was rinsed with ethanol (\\u0026ge; 99.5%, Aladdin) for 2 h to remove residual acetone, followed by nitrogen atmosphere drying to eliminate water traces, ensuring chemical stability during subsequent UV etching. Nanopores were generated by UV light (\\u0026lambda;\\u003csub\\u003emax\\u003c/sub\\u003e = 365 nm, 300 mW\\u0026middot;cm\\u003csup\\u003e-2\\u003c/sup\\u003e) for 30 min followed by ethanol rinsing for 2 h to selectively remove the PEO phase. The resultant nanoporous membrane has a pore diameter of \\u003cem\\u003ed\\u003c/em\\u003e~8 nm and a pore-to-pore distance of \\u003cem\\u003eD\\u003c/em\\u003e~25 nm. The membrane thickness was measured as 90 \\u0026plusmn; 5 nm by AFM (Supplementary Fig. 44).\\u003c/p\\u003e\\n\\u003cp\\u003e\\u003cstrong\\u003eFabrication of the SCHs\\u003c/strong\\u003e\\u003c/p\\u003e\\n\\u003cp\\u003eThe SCHs were fabricated through a two-step solid-phase synthesis process. First, h-PEI was discretely grafted at the above nanopores according to a modified method\\u003csup\\u003e25\\u003c/sup\\u003e. Typically, a solution containing h-PEI (4 wt%, ~21 nm in size, located between \\u003cem\\u003ed\\u003c/em\\u003e and \\u003cem\\u003eD\\u003c/em\\u003e), EDC (0.05 wt%), and DMAP (0.02 wt%) was spin-coated onto the nanoporous membrane at 3,000 rpm for 60 s. The sample was cured under nitrogen\\u0026nbsp;atmosphere at 50 ℃ for 12 h, followed by three ethanol washes to remove unreacted components. The membrane was dried on a hot plate (40 \\u0026deg;C) under a nitrogen atmosphere for 24 h. This process is crucially important, because h-PEI adopt a collapse conformation state, minimizing adjacent PEI chain entanglement. Next, the membranes were immersed in CC\\u0026nbsp;ethanol solution (2\\u0026times;10\\u003csup\\u003e-4\\u003c/sup\\u003e-2 wt%). The reaction last for 0.5 h, and in-situ intra-chain crosslinking occurred. Unreacted CC was removed by thoroughly washing with ethanol for 3 times. Free-standing membranes were obtained by dissolving PSS layer with water.\\u0026nbsp;\\u003c/p\\u003e\\n\\u003cp\\u003eThe SCHs could be detached from the membrane by hydrolysis using KOH solution (pH = 11). The resulting aqueous solution was dialyzed for 24 h (MWCO: 3.5 kDa). After that, the solution was washed with dichloromethane to remove fat-soluble matter. The aqueous phase was collected, and the detached SCHs were obtained.\\u003c/p\\u003e\\n\\u003cp\\u003e\\u003cstrong\\u003eDetermination of energy barriers for cation transport\\u003c/strong\\u003e\\u003c/p\\u003e\\n\\u003cp\\u003e\\u003cimg 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\\\"\\u003e\\u003c/p\\u003e\\n\\u003cp\\u003e\\u003cbr\\u003e\\u003c/p\\u003e\\n\\u003cp\\u003e\\u003cstrong\\u003eDensity functional theory calculation\\u003c/strong\\u003e\\u003c/p\\u003e\\n\\u003cp\\u003eAll calculations were performed using the CP2K software package\\u003csup\\u003e44\\u003c/sup\\u003e, employing its Gaussian and Plane Wave (GPW) methodology\\u003csup\\u003e45\\u003c/sup\\u003e with the PBE functional\\u003csup\\u003e46\\u003c/sup\\u003e augmented by D3(BJ) dispersion corrections\\u003csup\\u003e47\\u003c/sup\\u003e. The DZVP-MOLOPT-SR-GTH basis sets\\u003csup\\u003e48,49\\u003c/sup\\u003e and GTH pseudopotentials were rigorously applied to all elements, ensuring consistent treatment of core-electron interactions. Structural optimizations utilized the BFGS algorithm with convergence thresholds of 4.5\\u0026times;10\\u003csup\\u003e-4\\u003c/sup\\u003e Ha/Bohr (force) and 3\\u0026times;10\\u003csup\\u003e-3\\u003c/sup\\u003e \\u0026Aring; (displacement). Periodic boundary conditions were enforced within a 12 \\u0026times; 18 \\u0026times; 20 \\u0026Aring;\\u003csup\\u003e3\\u003c/sup\\u003e orthorhombic supercell, with a 400 Ry plane-wave cutoff balancing computational accuracy and efficiency.\\u003c/p\\u003e\"},{\"header\":\"Declarations\",\"content\":\"\\u003cp\\u003e\\u003cstrong\\u003eData availability\\u003c/strong\\u003e\\u003c/p\\u003e\\n\\u003cp\\u003eAll data are available in the main text or Supplementary Information and also from the corresponding authors on reasonable request.\\u003c/p\\u003e\\n\\u003cp\\u003e\\u003cstrong\\u003eAcknowledgements\\u003c/strong\\u003e\\u003c/p\\u003e\\n\\u003cp\\u003eThis work was funded by the National Natural Science Foundation of China (22175009), the National Key Research and Development Program of China (2022YFB3805900). We are grateful to the Analysis \\u0026amp; Testing Center of Beihang University for the facilities, and the scientific and technical assistance.\\u0026nbsp;We sincerely thank Z. Liu for his assistance with AFM testing.\\u0026nbsp;We sincerely thank J. Gao for his assistance with NMR testing. We sincerely thank H. Ding and M. Zhao (Suzhou Niumag Analytical Instrument Corporation, China) for their expertise in LF-NMR testing, including scientific and technical assistance.\\u003c/p\\u003e\\n\\u003cp\\u003e\\u003cstrong\\u003eAuthor contributions\\u003c/strong\\u003e\\u003c/p\\u003e\\n\\u003cp\\u003eM.L., L.G. and T.Z. conceived and supervised the project. L.G. designed the research and coordinated the collaboration. Y.Z. and H.R. performed all experiments with assistance from P.L., X.Y., and J. L. Z.L. and Y.Z. conducted the numerical simulations. Y.Z. and L.G. wrote the manuscript, with revisions by M.L. and T.Z.\\u003c/p\\u003e\\n\\u003cp\\u003e\\u003cstrong\\u003eCompeting interests\\u003c/strong\\u003e\\u003c/p\\u003e\\n\\u003cp\\u003eThe authors declare no competing interests.\\u003c/p\\u003e\"},{\"header\":\"References\",\"content\":\"\\u003col\\u003e\\n\\u003cli\\u003eElimelech, M. \\u0026amp; Phillip, W. A. The future of seawater desalination: Energy, technology, and the environment. \\u003cem\\u003eScience\\u003c/em\\u003e \\u003cstrong\\u003e333\\u003c/strong\\u003e, 712-717 (2011).\\u003c/li\\u003e\\n\\u003cli\\u003eLiu, K., Epsztein, R., Lin, S., Qu, J. \\u0026amp; Sun, M. Ion-ion selectivity of synthetic membranes with confined nanostructures. \\u003cem\\u003eACS Nano\\u003c/em\\u003e \\u003cstrong\\u003e18\\u003c/strong\\u003e, 21633-21650 (2024).\\u003c/li\\u003e\\n\\u003cli\\u003eChen, L. et al. 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The typical hydrogel mesh sizes range from 5 to 100 nanometers, one or more orders of magnitude higher than ionic diameters, making them ineffective for precise ion sieving. Achieving sub-nanometer meshes in an upscaled hydrogel membrane remains a major challenge. Herein, we demonstrate single-chain hydrogels (SCHs) with sub-nanometer meshes, fabricated via a solid-phase synthesis process, which function as precise ion sieves. The SCHs are prepared through intrachain crosslinking of polyethyleneimine (h-PEI), which is precisely pre-grafted at the entrance of the nanopores in an isolated feature. The sub-nanoscale confinement in SCHs significantly influences three coexisting mesh-ion interactions: ionic dehydration, electrostatic repulsion, and coordination affinity, leading to varied energy barriers for ion transport. As a result, SCHs exhibit graded cation transport, serving as a versatile platform for targeted ion sieving with both exceptional ion selectivity and high target ion flux. In key applications, including seawater desalination, lithium extraction, and heavy metal ion removal, our SCHs demonstrate state-of-the-art performance. The SCH concept provides a promising template for future applications in fields such as energy, environmental science, and bionics.\",\"manuscriptTitle\":\"Targeted ion sieving via single-chain hydrogels with sub-nanometer meshes\",\"msid\":\"\",\"msnumber\":\"\",\"nonDraftVersions\":[{\"code\":1,\"date\":\"2025-11-20 13:43:50\",\"doi\":\"10.21203/rs.3.rs-8081993/v1\",\"editorialEvents\":[{\"type\":\"communityComments\",\"content\":0}],\"status\":\"published\",\"journal\":{\"display\":true,\"email\":\"info@researchsquare.com\",\"identity\":\"researchsquare\",\"isNatureJournal\":false,\"hasQc\":true,\"allowDirectSubmit\":true,\"externalIdentity\":\"\",\"sideBox\":\"\",\"snPcode\":\"\",\"submissionUrl\":\"/submission\",\"title\":\"Research Square\",\"twitterHandle\":\"researchsquare\",\"acdcEnabled\":true,\"dfaEnabled\":false,\"editorialSystem\":\"\",\"reportingPortfolio\":\"\",\"inReviewEnabled\":false,\"inReviewRevisionsEnabled\":true}}],\"origin\":\"\",\"ownerIdentity\":\"abd429c2-2319-48c5-be9a-a83a5e36afcb\",\"owner\":[],\"postedDate\":\"November 20th, 2025\",\"published\":true,\"recentEditorialEvents\":[],\"rejectedJournal\":[],\"revision\":\"\",\"amendment\":\"\",\"status\":\"posted\",\"subjectAreas\":[{\"id\":58219048,\"name\":\"Physical sciences/Materials science/Soft materials/Gels and hydrogels\"},{\"id\":58219049,\"name\":\"Physical sciences/Materials science/Materials for energy and catalysis/Porous materials\"}],\"tags\":[],\"updatedAt\":\"2026-01-26T08:46:23+00:00\",\"versionOfRecord\":[],\"versionCreatedAt\":\"2025-11-20 13:43:50\",\"video\":\"\",\"vorDoi\":\"\",\"vorDoiUrl\":\"\",\"workflowStages\":[]},\"version\":\"v1\",\"identity\":\"rs-8081993\",\"journalConfig\":\"researchsquare\"},\"__N_SSP\":true},\"page\":\"/article/[identity]/[[...version]]\",\"query\":{\"redirect\":\"/article/rs-8081993\",\"identity\":\"rs-8081993\",\"version\":[\"v1\"]},\"buildId\":\"XKTyCvWXoU3ODBz1xrDgd\",\"isFallback\":false,\"isExperimentalCompile\":false,\"dynamicIds\":[84888],\"gssp\":true,\"scriptLoader\":[]}","source_license":"CC-BY-4.0","license_restricted":false}