Understanding the Distance Effect of the Single‐Atom Active Sites in Fenton‐Like Reactions for Efficient Water Remediation

Abstract Emerging single‐atom catalysts (SACs) are promising in water remediation through Fenton‐like reactions. Despite the notable enhancement of catalytic activity through increasing the density of single‐atom active sites, the performance improvement is not solely attributed to the increase in the number of active sites. The variation of catalytic behaviors stemming from the increased atomic density is particularly elusive and deserves an in‐depth study. Herein, single‐atom Fe catalysts (FeSA‐CN) with different distances (d site) between the adjacent single‐atom Fe sites are constructed by controlling Fe loading. With the decrease in d site value, remarkably enhanced catalytic activity of FeSA‐CN is realized via the electron transfer regime with peroxymonosulfate (PMS) activation. The decrease in d site value promotes electronic communication and further alters the electronic structure in favor of PMS activation. Moreover, the two adjacent single‐atom Fe sites collectively adsorb PMS and achieve single‐site desorption of the PMS decomposition products, maintaining continuous PMS activation and contaminant removal. Moreover, the FeSA‐CN/PMS system exhibits excellent anti‐interference performance for various aquatic systems and good durability in continuous‐flow experiments, indicating its great potential for water treatment applications. This study provides an in‐depth understanding of the distance effect of single‐atom active sites on water remediation by designing densely populated SACs.


Introduction
In the last few decades, the imperative crisis of clean water scarcity resulting from emerging contaminant pollution has DOI: 10.1002/advs.202307151stimulated the innovation of water treatment technologies. [1]Peroxymonosulfate (PMS)-based Fenton-like reaction is regarded as a promising advanced oxidation process (AOPs) to deal with the evergrowing environmental pollution, relying on the generation of hydroxyl radicals ( • OH) and sulfate radicals (SO 4 •− ) with high redox potentials upon the cleavage of O─O bond in PMS (HSO 5 − ). [2]Over the past few years, transition metal (TM) catalysts (either in the form of ions or metal oxides) have served as highly efficient activators of the Fenton-like reaction. [3]However, on the premise of further improving the efficiency of the Fenton-like reaction, reducing the amount of TMs is still necessary to reduce the cost and avoid secondary pollution caused by metal ion leaching. [4]y dispersing the active metal component into the atomic levels, single-atom catalysts (SACs) exhibit maximum utilization efficiency of metal atoms, precisely tunable local coordination environment, and strong metal-support interactions. [5]Moreover, the homogeneous structure of SACs provides a promising platform for clarifying the structure-activity relationship and the fundamental mechanism of interfacial reactions at the molecular and atomic levels. [6]The unprecedented improvements in the catalytic properties of SACs have sparked significant research interest in electrocatalysis, [7] energy applications, [8] thermal catalysis, [9] carbon fixation, [10] and environmental remediation. [11]4b,12] In particular, M-N-C SACs feathered with atomically dispersed TM atoms (such as Fe, [13] Cu, [14] Co, [15] and Mn [4a] ) on N-doped carbon substrates have been extensively studied for PMS-based Fenton-like reactions, and the M-N x sites have been identified as the main active sites for activating PMS.Thus, various attempts have been devoted to increasing the density of M-N x sites, which significantly improved catalytic activity. [16]In a specific range of metal loadings, previous studies have reported www.advancedscience.com a strong positive linear correlation between the reaction rate constant (k obs ) and metal loading. [17]In this case, the active metal atoms are far from the neighboring ones.However, when the internal atomically dispersed metals get closer, the significantly enhanced catalytic activity cannot be attributed solely to the increased number of active sites.Because the strong interaction between the adjacent M-N x sites can alter the electronic structure of the individual sites.For example, Jin et al. demonstrated that site-to-site communication (electronic interaction) might appear when the distance of two adjacent Fe atoms is less than about 12 Å. [18]Meanwhile, the distance of the neighboring active sites can affect the adsorption and activation modes of the adsorbed molecules.Zhou et al. reported that the O 2 adsorption modes could transform from a typical Pauling model to a bridge model associated with a change in the active site distance in the oxygen reduction reaction. [19]In addition, with the merits of earth abundance, low cost, and low environmental toxicity, Fe─N─C SACs offer an optimal alternative for water purification. [20]Therefore, it would be worthwhile to expand the exploration to involve the distance effect of the single-atom Fe sites on PMS activation.
Herein, we present a comprehensive study on the distance effect in single-atom Fe catalysts (Fe SA -CN) for PMS-based Fentonlike reactions using an integrated experimental and theoretical approach.Typical structures with different distances between adjacent single-atom Fe sites (d site ) were obtained by varying the density of the single-atom Fe sites.The catalytic activity of Fe SA -CN exhibited a sharp enhancement at d site = 0.5 nm with the assistance of PMS via the electron transfer regime.Along with the decrease in d site , the electronic communication between the adjacent single-atom Fe active sites altered the electronic structure of the individual Fe atoms.Moreover, the proximity of the Fe sites enabled the PMS adsorption in a two-site pathway, which enhanced the electron transfer and promoted PMS decomposition.The PMS decomposition products (OH − and SO 4 2− ) are readily desorbed from the individual single-atom Fe sites with the adsorption of pollutants, respectively.The strong adsorption and activation processes of PMS and the easy desorption process of the PMS decomposition products together maintained efficient contaminant removal.Moreover, the Fe SA -CN/PMS system exhibited excellent anti-interference performance for different anions and aquatic systems and good durability in continuous-flow experiments, indicating its great potential for water treatment applications.An in-depth understanding of the distance effect could contribute to the potential application of SACs in water treatment to remove refractory organic pollutants.

Results and Discussion
As schematically illustrated in Figure 1a, single-atom Fe catalysts (Fe SA -CN SACs) with three d sites values were prepared by the pyrolysis of a mixture of a Fe-based metal-organic framework (Fe-MOF) which is often used in catalyst synthesis [21] and urea, followed by acid etching to remove the iron oxide.Due to the N pots with abundant lone-pair electrons in the graphitic carbon nitride (g-C 3 N 4 ) framework, Fe atoms can be solidly bonded to g-C 3 N 4 in a single-atom distribution.The Fe content of Fe SA -CN SACs was determined to be 0.5, 0.9, and 1.1 wt.% using inductively coupled plasma-optical emission spectrometry (ICP-OES), respectively.The X-ray diffraction (XRD) patterns of Fe SA -CN SACs exhibit two typical peaks of g-C 3 N 4 (UCN) at ≈12.7°and 27.5°for the (100) and (002) crystal planes, [22] with no peaks assigned to Fe nanoparticles and oxides (Figure S1, Supporting Information).Owing to the strengthening effect of metals on the polymerization of carbon-based materials, [23] Fe SA -CN SACs with low Fe content (0.5 and 0.9 wt.%) show higher crystallinity than pure g-C 3 N 4 and Fe SA -CN with a high Fe content (1.1 wt.%).The Fourier-transform infrared (FTIR) spectra of Fe SA -CN SACs and UCN show similar breathing modes of the tri-s-triazine units and typical stretching vibration modes of C═N and C─N heterocycles at ≈809 and 1200-1600 cm −1 , [24] which indicates Fe SA -CN SACs maintain the fundamental configuration of g-C 3 N 4 (Figure S2, Supporting Information).
High-resolution transmission electron microscopy (HRTEM) images and element mapping images based on energy-dispersive X-ray (EDX) spectroscopy show that Fe atoms are uniformly distributed on the curled 2D g-C 3 N 4 nanosheets (Figure 1b; Figure S3, Supporting Information).The aberration-corrected highangle annular dark-field scanning transmission electron microscopy (AC-HAADF-STEM) images further display uniformly distributed bright spots on the g-C 3 N 4 support corresponding to atomically dispersed single Fe atoms, which permits the analysis of the average d site values using the computational statistics (Figure 1c; Figure S4, Supporting Information).The distance values of Fe atoms are normal distribution, and the average d site value in Fe SA -CN (1.1 wt.%) is 0.5 nm, and the d site value increases to 0.7 and 1.2 nm when the Fe loading decreases to 0.9 and 0.5 wt.% (Figure S4, Supporting Information).The coordination environment of Fe SA -CN was further analyzed by X-ray absorption fine structure (XAFS) spectroscopy.The normalized Fe K-edge X-ray absorption near-edge structure (XANES) spectra of the three Fe SA -CN SACs generally present similar characteristics to those of the reported Fe-N 4 configuration structure, [25] and the distinct K-edge absorption of the Fe SA -CN SACs at ca. 7120 eV between those of Fe foil and Fe 2 O 3 indicates that the valence state of the Fe atoms is between +2-+3 (Figure S5, Supporting Information). [26]The Fourier transform extended X-ray absorption fine structure (FT-EXAFS) spectra of Fe SA -CN SACs (Figure 1d) present only one prominent peak at approximately 1.5 Å (without phase shift) in the R space corresponding to the Fe─N scattering path.The absence of the first shell Fe-Fe path at 2.2 Å implies that no Fe clusters are present in Fe SA -CN SACs.Subsequently, the first-shell theoretical fitting of the EXAFS spectra was conducted to quantify the coordination configuration of Fe atoms in the Fe SA -CN SACs.The Fe─N coordination numbers of Fe SA -CN SACs with different Fe loadings are estimated to be 3.8-4.2with an average bond length of ca.2.0 Å, demonstrating that the single Fe atom in Fe SA -CN SACs coordinates with 4 N atoms of g-C 3 N 4 (Figure 1e; Table S2, Supporting Information).In addition, in the corresponding wavelet transformation (WT) EXAFS results (Figure 1f,g), distinguished from the Fe foil at k value of 7.6 Å −1 , Fe SA -CN SACs display a central peak at a k value of ca.4.0 Å −1 , [27] which can be ascribed to the Fe─N coordination at the first shell.
2,4-dichlorophenol (2,4-DCP), a critical pesticide and pharmaceutical intermediate, was first selected as a probe pollutant to systematically evaluate the catalytic performances of Fe SA -CN SACs (Figure 2a).Compared with Fe-free g-C 3 N 4 (UCN), the Fe SA -CN SACs exhibit significant catalytic activity for 2,4-DCP degradation with the assistance of PMS.Notably, the introduction of single Fe atoms immediately triggers the PMS activation for rapid 2,4-DCP degradation, and the apparent inhibition of 2,4-DCP degradation caused by EDTA as Fe poison further verifies that single-atom Fe sites are the dominant active sites in the Fenton-like reaction (Figure S6, Supporting Information).Fe SA -CN SACs with smaller d site values exhibit higher observed rate constants (k obs ).In particular, Fe SA -CN 0.5 can achieve the complete 2,4-DCP removal within 8 min, and the corresponding k obs reach ≈42 times that of UCN (Figure 2b).Remarkably, the doubling of Fe loading (from 0.5 to 0.9 wt.%) leads to the doubling of k obs (from 0.0516 to 0.10323 min −1 ).However, a further 0.2-fold increase of Fe loading (from 0.9 to1.1 wt.%) still results in a doubling of k obs (from 0.10323 to 0.2493 min −1 ), and the turnover frequencies (TOFs) of each Fe-N 4 site in the Fe SA -CN SACs exhibit a disproportionate sharp enhancement with the increase in Fe loading (Figure 2c).The apparent jump in catalytic activity does not simply arise from the increased number of single-atom Fe active sites, implying that the distance effect of adjacent Fe atoms may be the key factor in catalytic activity.Fe SA -CN is used instead of Fe SA -CN 0.5 in the subsequent results and discussion.
The effects of the catalyst dosage and PMS concentration on 2,4-DCP abatement were further studied (Figures S7 and S8, Supporting Information); when the catalyst dosage exceeds 0.2 g L −1 , 2,4-DCP is completely decomposed within 8 min in the Fe SA -CN/PMS (0.2 mm) system.Even when the catalyst dosage is reduced to 0.1 g L −1 , 96% of 2,4-DCP can still be removed within 10 min.In the PMS concentration range of 0.2-2.0mm, the Fe SA -CN/PMS system still maintains almost the same catalytic performance, effectively reducing the PMS resource consumption and subsequent SO 4 2− residue.In addition to 2,4-DCP, other types of refractory organic pollutants, such as antibiotics (tetracycline/TC and ciprofloxacin/CIP), endocrine disruptors (bisphenol A/BPA), and organic dyes (methyl orange/MO and acid orange 7/AO7), can also be efficiently removed within 15 min in the Fe SA -CN/PMS system (Figure 2d).Furthermore, a normalized rate constant (k n ), obtained by dividing k obs by the catalyst dosage and PMS concentration followed by multiplying the contaminant concentration, was employed to evaluate the catalytic performance in various heterogeneous PMS-based Fenton-like reaction systems.The k n of Fe SA -CN distinctly exceeds those of the other previously reported PMSbased Fenton-like catalysts, including the state-of-the-art SACs (Figure 2e; Table S3, Supporting Information).
The anions in water can be transformed into the corresponding anion free radicals with weak oxidation capacity.Nature organic matters (NOMs) can also consume the active species in the AOPs, which inhibits the removal of target pollutants.As shown in Figure 2f, 2,4-DCP can be efficiently and completely degraded within almost the same k obs in the presence of various anions (i.e., SO 4 2− , NO 3 − , Cl − , and H 2 PO 4 − ) and HA. [28]The excellent anti-interference performance of the Fe SA -CN/PMS system against various anions and NOMs is potent for the treatment of real water systems.Subsequently, the feasibility of the Fe SA -CN/PMS system was evaluated in various aquatic systems (i.e., ultrapure water, tap water, raw water, secondary effluent, and Pearl River water), where Fe SA -CN/PMS system can achieve rapid abatement of the additional 2,4-DCP within 8-15 min and maintain a high k obs (Figure 2g).Moreover, a home-made continuous-flow fixed-bed reactor consisting of a Fe SA -CN 0.5 filled column was used to evaluate the catalytic performance of the Fe SA -CN/PMS system for continuous water decontamination with a hydraulic retention time of ca. 10 min (Figure 2h).PMS does not directly oxidize 2,4-DCP (Figure S7, Supporting Information), and the 2,4-DCP removal rate maintains consistently close to 100% throughout a continuous operating period of 120 h.Meanwhile, the Fe content leached to the effluent is less than 0.05 mg L −1 , which is far below the national standard of 0.3 mg L −1 .In addition, the used Fe SA -CN maintains the basic structure, as proved by XRD, FTIR, and HRTEM (Figures S9-S11, Supporting Information).The Fe SA -CN/PMS system demonstrates efficient catalytic performance and stability, exhibiting a great prospect for water treatment applications.
To reveal the reaction mechanisms underlying 2,4-DCP degradation, reactive oxygen species (ROS) were studied by the quenching experiments.As shown in Figure 3a, the negligible impact on the elimination of 2,4-DCP by adding methanol (MeOH) and tert-butanol (TBA) excludes the contribution of SO 4 •− and • OH.The significant inhibition on the 2,4-DCP removal upon adding furfuryl alcohol (FFA) implies that singlet oxygen ( 1 O 2 ) may be the active species in the Fe SA -CN/PMS system.Furthermore, the electron paramagnetic resonance (EPR) experiments were utilized to further detect the ROS, where DMPO and TEMP were selected as the spin-trapping reagents for SO 4 •− and • OH, and 1 O 2 , respectively.As shown in Figure 3b, no typical signals corresponding to DMPO-SO 4 •− or DMPO-• OH adducts are discerned, which further rules out the presence of SO 4 •− and • OH.The presence of the DMPOX signal indicates the presence of oxidative species within the system that can directly oxidize DMPO. [29]The DMPOX signal almost disappears after adding 2,4-DCP, implying that oxidative species can be consumed for efficient 2,4-DCP degradation.A triplet EPR signal corresponding to the oxidized TEMP (TEMPO) by 1 O 2 is detected in the Fe SA -CN/PMS system, but TEMPO generation could result from the direct oxidation by PMS rather than from the oxidation of 1 O 2 . [30]ubsequently, variations of FFA and PMS concentrations in various systems were detected.As shown in Figure 3c,d, the FFA decay in the PMS alone system and FFA decay in the FFA alone system indicate a direct reaction between FFA and PMS.FFA oxidation and PMS consumption are inhibited with the addition of Fe SA -CN, because Fe SA -CN slows down the depletion of PMS by FFA.Therefore, the inhibition of FFA on the Fe SA -CN/PMS system may be due to the PMS depletion rather than 1 O 2 quenching by FFA.To further determine the role of 1 O 2 , the FFA-2,4-DCP competitive dynamics analysis was performed to compare the rate constants of FFA transformation and 2,4-DCP oxidation in the Fe SA -CN/PMS system.Considering that 2,4-DCP cannot be destroyed directly by PMS (Figure S7, Supporting Information), the steady-state concentration of 1 O 2 (9.25 × 10 −10 m) is obtained through the 2,4-DCP degradation kinetics equation (Text S6, Supporting Information).Based on this, the calculated rate constant of FFA transformation (0.111 s −1 ) is ca.150 times the actual measured value (7.36 × 10 −4 s −1 ).Therefore, 1 O 2 is excluded as an active species in the Fe SA -CN/PMS system.
In addition to 2,4-DCP degradation by ROS, the oxidation by high-valent Fe species and the electron transfer regime were systematically studied in the Fe SA -CN/PMS system.The unique oxygen atom transfer reaction was used to identify the role of high-valent Fe species, in which methyl phenyl sulfoxide (PMSO) can be selectively oxidized to the corresponding sulfone product [methyl phenyl sulfone (PMSO 2 )], significantly different from SO 4 •− / • OH-mediated pathways. [31]Compared with the PMSalone system, there is no significant increase in PMSO depletion and PMSO 2 generation in the Fe-CN SACs/PMS system, indicating the absence of high-valent Fe species (Figure S12, Supporting Information).
Electrochemical tests were used to detect the electron transfer regime between 2,4-DCP, Fe SA -CN, and PMS.With the decrease of d site value, the Nyquist semicircle of the Fe SA -CN SACs in the electrochemical impedance spectroscopy (EIS) plots becomes smaller, implying less resistance for electron transport, which is more conducive to the occurrence of the electron transfer regime (Figure 3e).In the linear sweep voltammetry (LSV) curves (Figure 3f), the current density of the Fe SA -CN electrode significantly increases with the addition of PMS and 2,4-DCP, raising the possibility of electron transfer regime in the Fe SA -CN/PMS/2,4-DCP system.The open-circuit potential of the Fe SA -CN increases immediately upon the addition of PMS and subsequently decreases upon the addition of 2,4-DCP, demonstrating that PMS and 2,4-DCP act as electron acceptors and donors, respectively.To further verify that the electron transfer regime is the dominant process in PMS activation and 2,4-DCP decomposition, a galvanic oxidation process (GOP) system was developed to separate PMS and 2,4-DCP into two half-cells.An agar salt bridge and ampere meter connected the two half-cells, and Fe SA -CN was coated onto the graphite electrode.The current and the degradation kinetics of 2,4-DCP were recorded during the reaction.As depicted in Figure 3h,i, no obvious current signal is generated when the graphite electrode is inserted into the PMS cell or when the Fe SA -CN electrode is added to the 2,4-DCP cell, suggesting that graphite cannot activate PMS, and 2,4-DCP cannot directly donate electrons to Fe SA -CN.Notably, when the Fe SA -CN electrode is inserted into the PMS cell, 2,4-DCP without direct contact with Fe SA -CN and PMS undergoes apparent decomposition, and a distinct current signal is recorded, indicating that Fe SA -CN acts as an electron shuttle bridge and further promotes the electron transfer from 2,4-DCP to PMS.In addition, the main intermediates of 2,4-DCP in the Fe SA -CN/PMS system were identified by gas chromatography-mass spectrometry (GC-MS).The major intermediate is 2-chloro-1,4benzoquinone, which is consistent with the results of a study on non-radical electron transfer process (Figure S13, Supporting Information).The above results collectively demonstrate that the electron transfer regime is the dominant oxidation process for PMS activation and 2,4-DCP degradation, which explains the excellent anti-interference performance of the Fe SA -CN/PMS system for various anions and aquatic systems.
In order to understand the differences in PMS activation by Fe SA -CN SACs with different d site values, density functional theory (DFT) calculations were subsequently performed.Three models of two Fe-N 4 sites anchored on g-C 3 N 4 with different d site are constructed (Figure S14, Supporting Information).Compared with Fe SA -CN 0.7 and Fe SA -CN 1.2 , the g-C 3 N 4 skeleton structure of Fe SA -CN 0.5 is relatively cracked, consistent with the difference in crystallinity in the XRD results (Figure S1, Supporting Information).The distance predicted by DFT agrees well with the statistical results of the AC-HAADF-STEM (Figure S4, Supporting Information).The partial density of states (PDOS) was calculated to reveal the variation of d orbitals of Fe in the Fe-N 4 models.The band near the Fermi level can overlap with the p z orbital of oxygen-related molecules to form the strong  bond. [32]As shown in Figure 4a Furthermore, the PMS adsorption models on Fe SA -CN SACs with d site = 0.5, 0.7, and 1.2 nm were constructed (Figure 4b; Figure S15, Supporting Information).Fe SA -CN 0.5 can simultaneously adsorb two O atoms of PMS through two adjacent Fe atoms, while Fe SA -CN 0.7 and Fe SA -CN 1.2 can only achieve single-site adsorption of PMS because of the large distance between the Fe atoms.Consequently, the PMS adsorption energy on Fe SA -CN 0.5 is significantly greater than those on Fe SA -CN 0.7 and Fe SA -CN 1.2 , which is consistent with the changing trend of the d-band center.Large adsorption energy is conducive to PMS activation, but excessively strong adsorption can lead to difficulty in the desorption of PMS intermediates and further poisoning of the active sites, [33] which is further discussed in the following section.Based on the optimal PMS adsorption models, the charge density difference was used to analyze the electron transfer process between Fe SA -CN and PMS (Figure 4c).In the three models, the electron accumulation region is mainly concentrated on PMS, implying that Fe SA -CN with different d site values can donate electrons to PMS.However, when the d site is reduced to 0.5 nm, a wider range of electron depletion region appears on the Fe SA -CN 0.5 surface, which is more conducive to triggering the electron transfer process.Furthermore, the increased Bader charge values of PMS adsorbed on the Fe SA -CN SACs (d site = 0.5, 0.7, and 1.2 nm) are 1.29, 1.16, and 1.10 e respectively, demonstrating that the adjacent Fe atoms in Fe SA -CN 0.5 can collectively transfer more electrons to PMS for its activation (Figure 4c).4a] Furthermore, the energy diagrams of PMS dissociation on the Fe SA -CN SACs were analyzed.The energy barrier of PMS dissociation on Fe SA -CN SACs is apparently reduced along with the decrease of d site value, which indicates that the PMS dissociation to OH − and SO 4 2− on Fe SA -CN 0.5 is more advantageous in terms of energy variation (Figure S16, Supporting Information).To better understand the interaction mechanism between Fe SA -CN SACs and the adsorbates (i.e., PMS and 2,4-DCP), the energy diagram for PMS activation and 2,4-DCP decomposition was calculated and shown in Figure 4d.First, PMS is adsorbed on the surface of Fe SA -CN SACs, where PMS is adsorbed on the two adjacent Fe sites of Fe SA -CN 0.5 and on the single Fe site of Fe SA -CN 0.7 and Fe SA -CN 1.2 (step I).Then, the adsorbed PMS accepts electrons and dissociates into OH − and SO 4 2− .Notably, OH − and SO 4 2− are adsorbed on the two individual Fe sites respectively, which effectively overcomes the difficulty of the intermediate desorption caused by the two-site pathway.The effective desorption of OH − and SO 4 2− is conducive to the re-exposure of the Fe active sites and promotes the continuous catalytic reaction.Subsequently, the adsorption of 2,4-DCP molecule donates electrons to Fe SA -CN SACs (step III), which is the rate-limiting step of the whole reaction.The energy barrier of Fe SA -CN 0.5 system in step III is 2.37 eV, which is smaller than those of Fe SA -CN 0.7 and Fe SA -CN 1.2 systems (2.96 and 3.01 eV), indicating that a more efficient electron transfer regime occurs on Fe SA -CN 0.5 system.Finally, the OH − and SO 4 2− desorb from the catalyst surface to the solution (step IV).Therefore, by modulating the electronic structure of the active sites and the adsorption/desorption modes of the reactants, the distance effect significantly affects the electron transfer regime among SACs, PMS, and pollutants.

Conclusion
Increasing the density of active sites in single-atom Fe catalysts using earth-abundant elements is an efficient approach to enhance PMS activation for decomposing emerging organic pollutants.However, the excellent catalytic activity is not entirely due to the increased number of single-atom Fe active sites.This study emphasizes the existence and importance of the distance effect with the proximity of adjacent Fe atoms in a single-atom Fe catalyst (Fe SA -CN).The proximity of the adjacent Fe atoms can alter the electronic structure of individual Fe atoms to improve the activation of the adsorbed molecules.Moreover, the adjacent single-atom Fe sites can collectively adsorb PMS molecules with a two-site pathway, and the PMS decomposition products (OH − and SO 4 2− ) achieve single-site desorption from the individual Fe atoms with the adsorption of 2,4-DCP.Therefore, the distance effect between adjacent single-atom Fe sites facilitates efficient contaminant remediation through an electron transfer regime.Moreover, the Fe SA -CN/PMS system exhibited excellent anti-interference performance for different anions and aquatic systems and good durability in continuous-flow experiments, indicating its great potential for water treatment applications.Thus, this proof-of-concept study reveals the variation in catalytic behavior stemming from the distance effect and contributes to the design of highly efficient SACs for practical applications in water treatment.

Figure 1 .
Figure 1.a) Schematic illustration of the synthesis process; b) HRTEM image; c) AC-HAADF-STEM images of Fe SA -CN SACs; d) FT-EXAFS spectra of the Fe foil, Fe 2 O 3 , and Fe SA -CN SACs; e) corresponding EXAFS R-space fitting curves of Fe SA -CN SACs; WT-EXAFS spectra of f) Fe foil and g) Fe SA -CN SACs.
, the Fe d-band center is upshifted and gradually approaches the Fermi level (E f ) with the decrease of d site values, which indicates that the proximity of the adjacent Fe atoms results in effective electronic communication.The upshift of the d-band center reduces the number of electrons entering the final antibonding orbital, thus facilitating PMS activation.

Figure 4 .
Figure 4. a) PDOS of the Fe SA -CN SACs; b) PMS adsorption models, c) electron density difference for PMS adsorption and the corresponding charge transfer based on Bader charge, and d) reaction pathway of PMS activation and 2,4-DCP decomposition on the Fe SA -CN SACs.