Synthesis and performance of lithium/sodium iron-based silicate cathode prepared by a facile vibratory ball milling-assisted solid-phase method

Synthesis and performance of lithium/sodium iron-based silicate cathode prepared by a facile vibratory ball milling-assisted solid-phase method | 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 Research Article Synthesis and performance of lithium/sodium iron-based silicate cathode prepared by a facile vibratory ball milling-assisted solid-phase method Kun Gao, Shu-Dan D. Li This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-6810417/v1 This work is licensed under a CC BY 4.0 License Status: Under Review Version 1 posted 9 You are reading this latest preprint version Abstract Designing hybrid battery systems based on Li/Na co-existing silicate framework with synergized lithium's high energy density with sodium's economic advantages is still challenging. Herein, a series of Li 2 − x Na x FeSiO 4 (where x = 0, 0.25, 0.5, and 1.0) cathode materials were constructed through vibratory ball milling-assisted solid-state synthesis. The optimized sample at the composition x = 0.25 showed a single-phase monoclinic P2₁-Li₂FeSiO₄ phase, with exceptional electrochemical performances. By contrast, higher sodium contents ( x ≥ 0.5) resulted in dual-phase mixtures of Na₂FeSiO₄ and Li₂FeSiO₄, along with some undesirable impurities of Li₅FeO₄ and Na₆Si₂O₇. The electrochemical characterization revealed that the introduction of sodium ions in the de-intercalation reaction increased the interfacial charge-transfer resistance ( R ct ) due to the Na⁺ barrier, but also significantly improved the Li + diffusion coefficient ( D Li⁺ ), suitable for enhancing ionic utilization efficiency for an optimized specific capacity. Overall, strategically incorporating sodium at lithium sites can effectively increase the storage capacity while reducing dependence on lithium resources for economical energy storage devices. silicate solid state reaction cathode lithium-ion battery Figures Figure 1 Figure 2 Figure 3 Figure 4 Figure 5 Figure 6 Figure 7 1. Introduction Iron-based silicate cathodes ( A 2 FeSiO 4 , where A represents Li or Na) possess a dual storage framework for lithium and sodium ions, with multi-electron redox activity enabled by valence-variable transition metals. These features result in a theoretical capacity up to 330 mAh/g, making them good candidates for improving the energy density of Li/Na-ion batteries. The presence of iron sites offers several advantages over cobalt, manganese, and nickel sites in terms of lower cost, greater structural stability, favorable voltage profiles, and enhanced practicality [ 1 , 2 ]. Since cathode materials account for over 40% of the total battery costs, the use of cheap elements, such as iron, silicon, and oxygen, would economically be beneficial. As a result, iron-based silicate cathodes have shown significant reseach and application progress, especially using lithium iron silicate (Li 2 FeSiO 4 ), since these cathodes may achieve stable capacities approaching or exceeding the theoretical limit for a single lithium ion (166 mAh/g). The combination with carbon nanospheres [ 3 ], hollow spheres [ 4 ], and graphene-based conductive frameworks [ 5 ] may further increase the lithium capacity to reach 332 mAh/g. For sodium iron silicate (Na₂FeSiO₄), the theoretical capacity is 275 mAh/g, and it exhibits minimal crystal distortion and stress during cycling [ 6 ]. The effective use of Na₂FeSiO₄ in electric vehicles and grid storage systems could help alleviate the current limitations of lithium resources. This could be further enhanced via manufacturing techniques, such as nanostructuring and the integration of carbon nanotubes [ 7 , 8 ]. Overall, A 2 FeSiO 4 can be used as potential cathode materials for both lithium and sodium-ion batteries. Common methods for cathode preparation include high-temperature solid-state, hydrothermal, co-precipitation, sol-gel, and gas-phase deposition [ 9 ]. The choice of method significantly affects the crystallinity, morphology, and electrochemical properties of the obtained materials. Among these, the high-temperature solid-state synthesis is the most widely used method due to its simplicity, scalability, and minimal processing requirements involving merely the mixture of precursors followed by sintering. The use of high temperatures during the process promotes the formation of highly crystalline structures, associated with increased structural stability and enhanced performance. A literature search revealed significant progress in high-temperature solid-state synthesis. For instance, Yan et al . utilized the stepwise sintering technique under the conditions of 950°C for 7 hours, 1000°C for 1 hour, and 850°C for 2 hours to prepare single-crystal Li 1.2 Ni 0.13 Co 0.13 Mn 0.54 O 2 materials with a particle size of 536 nm [ 10 ]. Such a segmented sintering process effectively controlled grain growth, prevented damage to the crystal structure at high temperatures, and resulted in excellent electrochemical performance. Liu et al. employed a straightforward low-temperature solid-state reaction based on surfactant PEG400 to prepare ZnO/CdS nanocomposites [ 11 ]. Thanh et al . obtained Wadsley-Roth oxide FeNb 11 O 29 for the first time through a simple, cost-effective, and ultrafast microwave-assisted solid-state method [ 12 ]. The resulting FeNb 11 O 29 possessed limited particle sizes due to efficient thermal treatment, suitable for better capacity in low-voltage zones. Hence, solid-state methods may overcome traditional limitations in terms of process optimization (gradient sintering) and performance enhancements (morphology control) while retaining industrial scalability, thereby deserving further investigation. Herein, an oscillating ball milling-assisted solid-state synthesis method was systematically employed to fabricate Li 2 − x Na x FeSiO 4 (where x = 0, 0.25, 0.5, and 1.0). The morphological, compositional, and electrochemical properties of the resulting materials were thoroughly studied by various characterization techniques and electrochemical methods. The results suggested that the oscillatory ball milling process enabled homogeneous mixing of the raw materials within just 10 minutes. The reduced-pressure solid-phase roasting step also eliminated the need for protective or reducing atmospheres, resulting in improved cost-effectiveness and improved electrochemical performance. 2. Experimental A facile solid state reaction was used to prepare iron-based silicate cathodes. The details of the preparation process are as follows: firstly, a stoichiometric amount of Li 2 − x Na x FeSiO 4 (where x = 0, 0.25, 0.5, and 1.0) was prepared by mixing LiCH 3 COO·2H 2 O, NaCH 3 COO, FeC 2 O 4 ·2H 2 O and SiO 2 . To enhance ionic conductivity, 15 wt% of sucrose (C 12 H 22 O 11 ) was added as a carbon source. Secondly, the mixtures were milled for 10 minutes using an oscillatory ball mill and then pressed into tablets at 6 MPa for 2 minutes. The resulting precursors were initially heat-treated at 350°C for 2 hours and then calcined at 700°C for 8 hours in a tube furnace under − 0.1 MPa pressure. Depending on the sodium content in the final products, the samples were designated as LFS, LN 0.25 FS, LN 0.5 FS and LN 1.0 FS, respectively. The crystal structures were analyzed through powder X -ray diffraction (D8 Advance, Germany Bruker) utilizing Cu K α1 radiation ( λ = 0.154056 nm ) within a two-theta range of 10 to 60 degrees. The morphology and energy dispersive spectroscopy (EDS) measurements were performed using scanning electron microscopy (SEM, Hitachi, SU5000) in conjunction with Oxford Instruments Ultimately Max40. For the electrochemical measurements, the cathode electrode was prepared by mixing Li 2 − x Na x FeSiO 4 , acetylene black, and polyvinylidene fluoride (PVdF) in a weight ratio of 75:15:10 using N -methyl-pyrrolidone (NMP) as the solvent. The Li 2 − x Na x FeSiO 4 /Li coin cells were assembled in an Ar-filled glove box. The electrolyte consisted of 1.0 mol/L LiPF 6 dissolved in a mixture of ethylene carbonate (EC), ethyl methyl carbonate (EMC), and diethyl carbonate (DEC) in a volume ratio of 1:1:1. The separators used were polypropylene membranes (Celgard2400). The cycling performance was evaluated using a LAND battery test system, with a cutoff voltage ranging from 1.5 to 4.6 V versus Li/Li + at a rate of 0.1 C. Electrochemical impedance spectroscopy (EIS) measurements were performed using a CHI 604D electrochemical workstation (Shanghai CH Instruments, Inc.) in a frequency range from 10 5 to 10 − 2 Hz with an amplitude of 5 mV . 3. Results and discussion In this study, the calcination synthesis method shown in Fig. 1 was used to prepare lithium-sodium iron silicates. To this end, stoichiometric precursor mixtures were subjected to oscillatory ball milling to produce homogeneous yellow powders, which were then compacted into cylindrical pellets (diameter 20 mm ). After calcination, the pellets maintained their dimensional stability while undergoing acetate decomposition, resulting in black carbonized products Li 2 − x Na x FeSiO 4 (LN x FS). The final products were sieved through a 150-mesh screen and stored in a sealed dryer for further analysis. Previous studies have shown lithium iron silicates to exhibit polymorphic behavior strongly influenced by synthesis conditions, particularly the calcination temperature. For instance, Sirisopanaporn et al. and Yabuuchi et al . demonstrated temperature-dependent formation relationships of orthorhombic Pmn2 1 , monoclinic P2 1 , and orthorhombic Pmnb [ 13 , 14 ]. Despite the similar X-ray diffraction (XRD) patterns of these polymorphs, subtle differences in diffraction intensities were observed between 20°-25° and 30°-40°, indicating distinct crystallographic arrangements. The XRD profile of LFS in Fig. 2 a displayed primary peaks at 16.6°, 24.3°, 28.4°, 33.1°, 33.6°, and 35.7°, confirming the LFS major phase. Additional peaks were observed at 20.8°, 29.0°, and 31.6°, further validating the formation of the monoclinic P2 1 phase. Minor impurities of SiO 2 and LiFeO 2 were also identified. Notably, the LN 0.25 FS in Fig. 2 b exhibited similar P2 1 symmetry with a comparable impurity profile, suggesting an insignificantly altered crystal structure by the sodium substitution. The systematic lattice expansions of LFS and LN 0.25 FS are compared in Table 1 . The lattice parameters changed as follows: a: 8.21→8.23 Å; b: 5.01→5.02 Å; c: 8.23→8.24 Å. Such expansion can be attributed to Na⁺ substitution, with the ionic radius of Na⁺ (1.02 Å) larger than that of Li⁺ (0.72 Å). Additionally, the average grain size increased from 30.5 nm for LFS to 39.9 nm for LN 0.25 FS under identical synthesis conditions, indicating accelerated grain growth after sodium incorporation. Table 1 the calculated lattice parameters and crystal size of LFS and LN 0.25 FS from XRD data The XRD patterns of sodium-rich compositions (LN 0.5 FS and LN 1.0 FS) in Fig. 2 c illustrated merged reflections from both Li 2 FeSiO 4 (LFS) and Na 2 FeSiO 4 (NFS) phases. As sodium content increased, the phase dominance shifted, with LN 0.5 FS retaining characteristics of LFS, while LN 1.0 FS predominantly exhibited features of NFS. Such phase segregation arose from the structural incompatibility between the cubic NFS and monoclinic LFS phases [ 6 , 8 ], limiting the free substitution of Li and Na cations despite the shared Fe-O-Si framework. The auxiliary peaks at 15.2° and 23.2° also became more pronounced as a function of the increase in sodium content to surpass the intensities of the primary phases in LN 1.0 FS. The assigned auxiliary peaks to Li 5 FeO 4 or Na 6 Si 2 O 7 impurities did not align well with standard spectra, possibly due to spectral overlap and database limitations. The cycle performances of LFS, LN 0.25 FS, LN 0.5 FS, and LN 1.0 FS cathodes paired with lithium metal anodes in half-cells tested at a rate of 0.1 C within a voltage range of 1.5 to 4.6 V are compared in Fig. 3 a. The LFS/Li cell delivered an initial discharge capacity of 111.1 mAh/g and a second cycle capacity of 103.7 mAh/g. Afterward, a gradual decline in capacity was observed until reaching 92.3 mAh/g at 100 cycles. By comparison, the LN 0.25 FS/Li cell showed superior performance, starting with an initial capacity of 132.5 mAh/g and a second cycle capacity of 115.0 mAh/g. This cell exhibited non-monotonic capacity behavior with an initial slow increase in capacity before experiencing gradual decay, ultimately delivering 102.1 mAh/g at 100 cycles. Notably, the LN 0.25 FS/Li cell consistently outperformed the LFS/Li counterpart in discharge capacity throughout the cycling process. Since the initial phase transition typically occurred during the first charge process, capacity retention was calculated based on the second discharge capacity. Accordingly, LFS/Li and LN 0.25 FS/Li cells maintained capacity retentions of respectively 89.61% and 88.78%, demonstrating excellent performances among reported solid-state-iron-based silicate cathodes [ 15 ]. By contrast, the LN 0.5 FS/Li and LN 1.0 FS/Li cells exhibited significantly reduced discharge capacities (68.7 and 64.9 mAh/g for the first cycle) combined with a rapid capacity fading to 30–50 mAh/g during subsequent cycles, resulting in poor capacity retentions of 47.3% and 58.7% after 100 cycles. The inferior capacitance performance of the high-Na compositions can be attributed to the presence of electrochemically inactive impurities, Li 5 FeO 4 and Na 6 Si 2 O 7 , as verified by the XRD analysis. The differences among the samples were further clarified by Coulombic efficiency (CE) profiles. As shown in Fig. 3 b, the LFS/Li cell maintained a CE above 95% after the initial cycle, with 160% efficiency recorded during the first cycle. By comparison, the LN 0.25 FS/Li cell illustrated an initial CE of 127.8%, followed by fluctuations below 90% until the 15th cycle, eventually stabilizing at 96%. Overall, the CEs of the LN 0.25 FS/Li cell fluctuated more dramatically than those of the LFS/Li cell. Thus, the substitution of Na + at the sites of Li + destabilized the electrode/electrolyte interface during the charge/discharge reactions, compromising cycling stability. Unlike LFS and LN 0.25 FS, both cells of LN 0.5 FS and LN 1.0 FS exhibited initial efficiencies below 100%, typically attributed to initial structural transformations during the first charging cycle. Such a discrepancy likely arose from reduced initial delithiation in multiphase materials, preventing significant phase transitions. As the cycling progressed, the CEs at the 2nd to 5th cycles showed a significant decline to reach only 80–90%, which may be due to the intercalation and deintercalation of Na ions in the NFS phase, impeding active ion transport at the electrode/electrolyte interface. However, the CEs recovered and stabilized above 95% after the 5th cycle, demonstrating relative consistency. The poor capacity performance of LN 0.5 FS and LN 1.0 FS motivates following study to focus on analyzing LFS and LN 0.25 FS. Typical charge/discharge curves of LFS/Li and LN 0.25 FS/Li cells tested at a rate of 0.1 C within a voltage range of 1.5 to 4.6 V are provided in Fig. 4 a and Fig. 4 b. The distinctly different initial charge curves can be explained by the structural reorganization occurring during the first Li⁺ extraction [ 2 ]. For LFS/Li cell, the progressive convergence of charge and discharge curve profiles over cycling indicated a gradual stabilization of the Li⁺ intercalation/deintercalation behavior. By contrast, LN 0.25 FS/Li illustrated an irregular electrochemical behavior. Notably, the curve recorded at the 30th cycle significantly deviated from that at the 100th cycle (resembling earlier curves at the 1st and 5th cycles instead). Furthermore, the charge/discharge CE of LN 0.25 FS/Li started at 85.7% during the second cycle but gradually increased to exceed 96% after 10 cycles. A comparative analysis of the differential capacity (d Q /d V ) curves revealed an evolution of the charge and discharge plateaus over prolonged cycling (Fig. 5 ). For LFS/Li (Fig. 5 a), the initial charge plateau peaked at 4.5 V , showing an incomplete shape attributed to the 4.6 V upper voltage cutoff. The discharge profile displayed a prominent peak at 1.75 V , accompanied by a minor shoulder at 2.6 V , corresponding to Li + intercalation. The 2nd d Q /d V curve demonstrated significant shifts, with charging peaks appearing at 3.3 V and 4.5 V , and discharge peaks developing at 2.65 V and 1.7 V . As cycling increased, the 4.5 V charge plateau and the 1.7 V discharge peak diminished significantly and nearly vanished after 100 cycles. Concurrently, new plateaus emerged in the range of 3.0-3.5 V during charging and the range of 2.5-3.0 V during discharging. Accompanied by this were leftward shifts in the charging plateau and rightward shifts in the discharge peak, indicating reduced polarization. The LN 0.25 FS/Li system exhibited different d Q /d V features in Fig. 5 b, with an initial profile showing dual charge peaks at 3.4 V and 4.5 V , correlated to three discharge peaks at 1.5 V , 1.95 V , and 2.7 V . Following structural reorganization during the first cycle, the second charge peaks shifted to 2.9 V and 3.15 V , with a significant attenuation at 4.5 V , while the discharge process retains a prominent peak only at 2.7 V. These new features suggest an involved sodium-ion redox activity distinguished with LFS. At 5th -30th cycles, well-defined overlapping plateaus with sharp peaks dominated, reflecting stabilized ion intercalation/deintercalation behavior. Notably, the single-peak characteristics observed in later cycles would likely indicate reactive mechanisms dominated by Li ions. By the 100th cycle, the peak intensities decreased, and their positions shifted to opposite sides, inferring a declined cell resistance and polarization. The LN 0.25 FS/Li material maintained a higher current response than LFS/Li at equivalent cycles, demonstrating superior ion diffusion efficiency. Furthermore, the scanning electron microscopy (SEM) images of LFS particles in Fig. 6 a depicted randomly aggregated secondary particles with irregular shapes. The software-based size analysis revealed a polydisperse distribution with an average particle size of 19.21 µm. The maximum particle size reached 56.65 µm, while the minimum was only 5.52 µm, reflecting solid-phase sintering characteristics. The inset micrograph in the upper right corner of Fig. 6 a highlighted primary crystallites of similar size (approximately 0.1–0.5 µm), forming dense secondary aggregates through random agglomeration. By comparison, the SEM image of LN 0.25 FS in Fig. 6 b demonstrated improved particle size uniformity, with an average diameter of 16.28 µm and a size range of 0.91–35.50 µm. The decrease in polydispersity would suggest enhanced synthesis homogeneity of LN 0.25 FS when compared to LFS. The enlarged view revealed interconnected secondary particles with increased intergranular porosity and a looser packing density, attributed to sodium salt-mediated structural modulation. Furthermore, the energy-dispersive spectroscopy (EDS) elemental mapping for LN 0.25 FS in Fig. 6 c confirmed the presence of sodium through distinct C/O/Na/Si/Fe distribution patterns. The quantitative analysis yielded atomic ratios of Na: 3.03%, Fe: 13.98%, Si: 13.79%, and O: 54.07%, closely matching the theoretical stoichiometry (Na : Fe : Si : O = 0.25 : 1 : 1 : 4) within the acceptable experimental error margins. Typical Nyquist plots of LFS/Li and LN 0.25 FS/Li coin cells after 100 charge/discharge cycles are presented in Fig. 7 a. The high-frequency semicircles were attributed to interfacial charge transfer resistance ( R ct ), while the low-frequency linear diffusion tail corresponded to solid-phase ion diffusion (Warburg impedance, Z w ). The equivalent circuit model in the inset included bulk resistance ( Rb ), a constant phase element (CPE) accounting for the non-ideal capacitive behavior, and interfacial capacitance ( C int ) related to lithium-ion accumulation. The electrochemical impedance parameters are summarized in Table 1 . The LFS/Li cell exhibited a bulk resistance of 7.133 Ω·cm − 2 , lower than that of the LN 0.25 FS/Li cell (7.805 Ω·cm − 2 ), due to variations in electrolyte decomposition and passivation film formation. By comparison, R ct showed a significant divergence, with 30.88 Ω·cm − 2 for LFS and 244.7 Ω·cm − 2 for LN 0.25 FS. Such a discrepancy could be attributed to the bulky Na⁺ accumulation on the electrode/electrolyte interface, enhancing the interfacial impedance growth. Consequently, the LN 0.25 FS electrode experienced greater kinetic limitations, resulting in localized Li⁺/Na⁺ accumulation during interfacial reactions, inducing interfacial capacitance effects. As a result, LN 0.25 FS demonstrated substantially higher C int (0.003686 F·cm − 2 ) than LFS (0.0007707 F·cm − 2 ). Table 2 Fitting results based on EIS data of LFS/Li and LN 0.25 FS/Li cells The Li-ion diffusion coefficient ( D Li⁺ ) was calculated from the low-frequency plots according to the equation: D Li⁺ = 0.5*[(R T )/(A n 2 F 2 Cσ )] 2 [ 16 , 17 ]. Based on the discharge capacity after 100 cycles, the values of the active lithium-ion concentration (C) in LFS and LN 0.25 FS were determined as 0.0143 mol/cm − 3 and 0.138 mol/cm − 3 , respectively. The Warburg coefficients ( σ ) derived from the slopes of ω −0.5 - Z ′ curves were recorded as 206.10 and 92.20 Ω·s − 0.5 , respectively (Fig. 7 b). By substituting these parameters into the above equation, the D Li⁺ values of LFS and LN 0.25 FS were calculated as 6.37×10 − 17 cm²·s ⁻¹ and 3.42×10 − 16 cm²·s ⁻¹, respectively. The increased D Li⁺ of LN 0.25 FS can be attributed to its expanded lattice channels from sodium substitution, suitable for enhancing ion transport and improving charge/discharge efficiency. Nevertheless, the terrible R ct would suggest grain refinement and electrode/electrolyte interfacial stabilization, which will be the focus of future investigations. 4. Conclusion In summary, an oscillating ball milling-assisted solid-state method was successfully used to systematically synthesize various Li/Na stoichiometric ratios of Li 2 − x Na x FeSiO 4 . The significant structural disparities between LFS and NFS phases resulted in coexisting dual-phase at x = 0.5 and 1.0. Unfortunately, the simultaneous formation of byproducts, such as Li₅FeO₄ and Na₆Si₂O₇, severely impaired the electrochemical performances. The reduction in Na content to 0.25 yielded a single-phase LFS-like structure with expanded lattice and enlarged grain sizes. Furthermore, the LN 0.25 FS cathodes demonstrated superior performance and comparable capacity retention to LFS counterparts despite their higher interfacial impedance. The differential capacity curves provided evidence of Na⁺ insertion, confirming its participation in redox reactions and its involvement in accelerated interfacial degradation. Overall, the control over Na⁺ doping would enhance ion transport, but interfacial engineering would be required to mitigate kinetic bottlenecks. Future research will focus on templated morphological engineering and enhancing interfacial compatibility to address these limitations. Declarations Author Contribution S.D. Li developed the entire experimental plan and was responsible for the phase analysis of XRD data. K.Gao conducted the experiments and wrote the main manuscript text. All authors reviewed, translated, and polished the manuscript. Acknowledgments This work was financially supported by National Natural Science Foundation of China (NSFC) ( grant no. 22378089) and Natural Science Foundation of Heilongjiang Province ( grant no. LH2023B007). References Bi XL, Chang LJ, Luo SH, Cao SY, Wei AL, Yang W, Liu JN, Zhang FS (2022) The recent progress of Li 2 FeSiO 4 as a poly-anionic cathode material for lithium-ion batteries. Int J Energy Res 46(5): 5373-5398 Zhang WJ, Shao WW, Zhao BB, Dai K H (2022) Research progress of Li 2 FeSiO 4 cathode materials for lithium-ion batteries. 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Dalton Trans 40: 1846-1848 Pateriya RV, Tanwar S, Sharma AL (2023) A critical review on orthosilicate Li 2 M SiO 4 ( M = Fe, Mn) electrode materials for Li ion batteries. J. Phys.: Condens. Matter 35: 343001-343041 Gao K (2014) Effect of Mn doping on electrochemical properties of Li 2 FeSiO 4 /C cathode materials based on a vacuum solid-state method. Ionics. 20: 809-815 Yang JL, Kang XC, Hu L, Gong X, He DP, Peng T, Mu SC (2013) Synthesis and electrochemical performance of Li 2 FeSiO 4 /C/carbon nanosphere composite cathode materials for lithium ion batteries. J Alloys Compd. 572: 158-162 Additional Declarations No competing interests reported. Cite Share Download PDF Status: Under Review Version 1 posted Editorial decision: Revision requested 07 Aug, 2025 Reviews received at journal 02 Aug, 2025 Reviewers agreed at journal 23 Jul, 2025 Reviews received at journal 06 Jul, 2025 Reviewers agreed at journal 24 Jun, 2025 Reviewers invited by journal 24 Jun, 2025 Editor assigned by journal 05 Jun, 2025 Submission checks completed at journal 05 Jun, 2025 First submitted to journal 03 Jun, 2025 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. 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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-6810417","acceptedTermsAndConditions":true,"allowDirectSubmit":false,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":476988505,"identity":"31ba9ad4-ed46-4b2c-a493-6297992cb7ce","order_by":0,"name":"Kun Gao","email":"","orcid":"","institution":"Harbin University","correspondingAuthor":false,"prefix":"","firstName":"Kun","middleName":"","lastName":"Gao","suffix":""},{"id":476988510,"identity":"0105281a-80eb-466a-a43e-bef3a5d92493","order_by":1,"name":"Shu-Dan D. Li","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA4ElEQVRIie3PsQrCMBCA4SuBZol2VXyJA6E6lD6LodBJRBBcHCwInQRXBR+ij1A9rEutq4OgIHRy6OjgYEHcxOjmkJ8b83EXAJ3uD6syMOE5+3NcoOMqifkilpEaq3nf99TkNfVJykgUayNQEs7zixi6PUx2MTkYM+C0iT4fJlpNkXkDTLMOdfFYBeH7BwUxG5WQyegQY0lyBjVhKwjPSzKW0emM1EYyAjUBuyQkF0GKBN8RYdeX2VbOIOmspuh7puovlrXNa9fhSIZAVNzujmtxSj6SN3t/e67T6XS6dz0Az6NKYnD3bX4AAAAASUVORK5CYII=","orcid":"","institution":"Harbin University","correspondingAuthor":true,"prefix":"","firstName":"Shu-Dan","middleName":"D.","lastName":"Li","suffix":""}],"badges":[],"createdAt":"2025-06-03 10:53:21","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-6810417/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-6810417/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":85548880,"identity":"51c0579b-817c-478a-af52-4a3d06d23327","added_by":"auto","created_at":"2025-06-27 09:19:52","extension":"png","order_by":1,"title":"Figure 1","display":"","copyAsset":false,"role":"figure","size":166109,"visible":true,"origin":"","legend":"\u003cp\u003ethe oscillating ball milling-assisted solid-state synthesis process\u003c/p\u003e","description":"","filename":"floatimage1.png","url":"https://assets-eu.researchsquare.com/files/rs-6810417/v1/d18ee0f129f69cf77bfa0e54.png"},{"id":85548884,"identity":"6054e36e-a8c9-4967-9c9c-be9122d4879f","added_by":"auto","created_at":"2025-06-27 09:19:52","extension":"jpeg","order_by":2,"title":"Figure 2","display":"","copyAsset":false,"role":"figure","size":569274,"visible":true,"origin":"","legend":"\u003cp\u003ethe observed and refined XRD patterns of (\u003cem\u003ea\u003c/em\u003e) LFS, (\u003cem\u003eb\u003c/em\u003e) LiN\u003csub\u003e0.25\u003c/sub\u003eFS, (\u003cem\u003ec\u003c/em\u003e) LN\u003csub\u003e0.5\u003c/sub\u003eFS and LN\u003csub\u003e1.0\u003c/sub\u003eFS\u003c/p\u003e","description":"","filename":"floatimage2.jpeg","url":"https://assets-eu.researchsquare.com/files/rs-6810417/v1/4fe9b599613f7b4486ff7296.jpeg"},{"id":85550032,"identity":"94d523d9-69f4-4cf7-af08-56c1ae39d5b0","added_by":"auto","created_at":"2025-06-27 09:35:52","extension":"png","order_by":3,"title":"Figure 3","display":"","copyAsset":false,"role":"figure","size":84900,"visible":true,"origin":"","legend":"\u003cp\u003ethe discharge capacity (\u003cem\u003ea\u003c/em\u003e) and coulombic efficiency (\u003cem\u003eb\u003c/em\u003e) of prepared Li\u003csub\u003e2-\u003c/sub\u003e\u003csub\u003e\u003cem\u003ex\u003c/em\u003e\u003c/sub\u003eNa\u003csub\u003e\u003cem\u003ex\u003c/em\u003e\u003c/sub\u003eFeSiO\u003csub\u003e4\u003c/sub\u003e at 0.1 C\u003c/p\u003e","description":"","filename":"floatimage4.png","url":"https://assets-eu.researchsquare.com/files/rs-6810417/v1/fb1b8a93f26a41b4a9586c91.png"},{"id":85549756,"identity":"43dc026f-39d4-41e4-b458-9f5f172efa0e","added_by":"auto","created_at":"2025-06-27 09:27:52","extension":"jpeg","order_by":4,"title":"Figure 4","display":"","copyAsset":false,"role":"figure","size":448913,"visible":true,"origin":"","legend":"\u003cp\u003eTypical charge-discharge curves at 0.1 C of (\u003cem\u003ea\u003c/em\u003e) LFS/Li cell and (\u003cem\u003eb\u003c/em\u003e) LN\u003csub\u003e0.25\u003c/sub\u003eFS/Li cell\u003c/p\u003e","description":"","filename":"floatimage5.jpeg","url":"https://assets-eu.researchsquare.com/files/rs-6810417/v1/538db1c0bac820db8e7f2a80.jpeg"},{"id":85549754,"identity":"52cafda2-0141-4dd6-b86d-26dd8a9565b3","added_by":"auto","created_at":"2025-06-27 09:27:52","extension":"jpeg","order_by":5,"title":"Figure 5","display":"","copyAsset":false,"role":"figure","size":372885,"visible":true,"origin":"","legend":"\u003cp\u003eTypical d\u003cem\u003eQ\u003c/em\u003e/d\u003cem\u003eV\u003c/em\u003e curves at 0.1 C of (\u003cem\u003ea\u003c/em\u003e) LFS/Li cell and (\u003cem\u003eb\u003c/em\u003e) LN\u003csub\u003e0.25\u003c/sub\u003eFS/Li cell\u003c/p\u003e","description":"","filename":"floatimage6.jpeg","url":"https://assets-eu.researchsquare.com/files/rs-6810417/v1/fc57480d884ef4a5a6249fec.jpeg"},{"id":85548888,"identity":"9ffcbea3-c14f-4f8f-9798-c8dd13d391da","added_by":"auto","created_at":"2025-06-27 09:19:52","extension":"jpeg","order_by":6,"title":"Figure 6","display":"","copyAsset":false,"role":"figure","size":687522,"visible":true,"origin":"","legend":"\u003cp\u003ethe SEM photos and particle size distribution histogram of (\u003cem\u003ea\u003c/em\u003e) LFS, (\u003cem\u003eb\u003c/em\u003e) LN\u003csub\u003e0.25\u003c/sub\u003eFS, and (\u003cem\u003ec\u003c/em\u003e) EDS of LN\u003csub\u003e0.25\u003c/sub\u003eFS\u003c/p\u003e","description":"","filename":"floatimage7.jpeg","url":"https://assets-eu.researchsquare.com/files/rs-6810417/v1/7cf4548cbbb36e6c033eafb4.jpeg"},{"id":85549753,"identity":"4e745b6f-8b3e-445e-9d3f-2143c4dec198","added_by":"auto","created_at":"2025-06-27 09:27:52","extension":"jpeg","order_by":7,"title":"Figure 7","display":"","copyAsset":false,"role":"figure","size":299465,"visible":true,"origin":"","legend":"\u003cp\u003e(\u003cem\u003ea\u003c/em\u003e) Nyquist plots of LFS/Li and LN\u003csub\u003e0.25\u003c/sub\u003eFS/Li cells after 100 cycles. Inset: equivalent circuit model. (\u003cem\u003eb\u003c/em\u003e) linear fitting of the \u003cem\u003eZ\u003c/em\u003e' versus \u003cem\u003eω\u003c/em\u003e\u003csup\u003e-1/2\u003c/sup\u003e relationship\u003c/p\u003e","description":"","filename":"floatimage8.jpeg","url":"https://assets-eu.researchsquare.com/files/rs-6810417/v1/d7eb9dc27509e4ba1d764375.jpeg"},{"id":85551249,"identity":"b30dfea5-5bc5-43e3-a805-a44f7815b227","added_by":"auto","created_at":"2025-06-27 09:51:53","extension":"pdf","order_by":0,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":3241566,"visible":true,"origin":"","legend":"","description":"","filename":"manuscript.pdf","url":"https://assets-eu.researchsquare.com/files/rs-6810417/v1/eed5d36f-40ae-472b-a121-81f037f5c872.pdf"}],"financialInterests":"No competing interests reported.","formattedTitle":"Synthesis and performance of lithium/sodium iron-based silicate cathode prepared by a facile vibratory ball milling-assisted solid-phase method","fulltext":[{"header":"1. Introduction","content":"\u003cp\u003eIron-based silicate cathodes (\u003cem\u003eA\u003c/em\u003e\u003csub\u003e2\u003c/sub\u003eFeSiO\u003csub\u003e4\u003c/sub\u003e, where \u003cem\u003eA\u003c/em\u003e represents Li or Na) possess a dual storage framework for lithium and sodium ions, with multi-electron redox activity enabled by valence-variable transition metals. These features result in a theoretical capacity up to 330 mAh/g, making them good candidates for improving the energy density of Li/Na-ion batteries. The presence of iron sites offers several advantages over cobalt, manganese, and nickel sites in terms of lower cost, greater structural stability, favorable voltage profiles, and enhanced practicality [\u003cspan citationid=\"CR1\" class=\"CitationRef\"\u003e1\u003c/span\u003e, \u003cspan citationid=\"CR2\" class=\"CitationRef\"\u003e2\u003c/span\u003e]. Since cathode materials account for over 40% of the total battery costs, the use of cheap elements, such as iron, silicon, and oxygen, would economically be beneficial. As a result, iron-based silicate cathodes have shown significant reseach and application progress, especially using lithium iron silicate (Li\u003csub\u003e2\u003c/sub\u003eFeSiO\u003csub\u003e4\u003c/sub\u003e), since these cathodes may achieve stable capacities approaching or exceeding the theoretical limit for a single lithium ion (166 mAh/g). The combination with carbon nanospheres [\u003cspan citationid=\"CR3\" class=\"CitationRef\"\u003e3\u003c/span\u003e], hollow spheres [\u003cspan citationid=\"CR4\" class=\"CitationRef\"\u003e4\u003c/span\u003e], and graphene-based conductive frameworks [\u003cspan citationid=\"CR5\" class=\"CitationRef\"\u003e5\u003c/span\u003e] may further increase the lithium capacity to reach 332 mAh/g. For sodium iron silicate (Na₂FeSiO₄), the theoretical capacity is 275 mAh/g, and it exhibits minimal crystal distortion and stress during cycling [\u003cspan citationid=\"CR6\" class=\"CitationRef\"\u003e6\u003c/span\u003e]. The effective use of Na₂FeSiO₄ in electric vehicles and grid storage systems could help alleviate the current limitations of lithium resources. This could be further enhanced via manufacturing techniques, such as nanostructuring and the integration of carbon nanotubes [\u003cspan citationid=\"CR7\" class=\"CitationRef\"\u003e7\u003c/span\u003e, \u003cspan citationid=\"CR8\" class=\"CitationRef\"\u003e8\u003c/span\u003e]. Overall, \u003cem\u003eA\u003c/em\u003e\u003csub\u003e2\u003c/sub\u003eFeSiO\u003csub\u003e4\u003c/sub\u003e can be used as potential cathode materials for both lithium and sodium-ion batteries.\u003c/p\u003e \u003cp\u003eCommon methods for cathode preparation include high-temperature solid-state, hydrothermal, co-precipitation, sol-gel, and gas-phase deposition [\u003cspan citationid=\"CR9\" class=\"CitationRef\"\u003e9\u003c/span\u003e]. The choice of method significantly affects the crystallinity, morphology, and electrochemical properties of the obtained materials. Among these, the high-temperature solid-state synthesis is the most widely used method due to its simplicity, scalability, and minimal processing requirements involving merely the mixture of precursors followed by sintering. The use of high temperatures during the process promotes the formation of highly crystalline structures, associated with increased structural stability and enhanced performance. A literature search revealed significant progress in high-temperature solid-state synthesis. For instance, Yan \u003cem\u003eet al\u003c/em\u003e. utilized the stepwise sintering technique under the conditions of 950\u0026deg;C for 7 hours, 1000\u0026deg;C for 1 hour, and 850\u0026deg;C for 2 hours to prepare single-crystal Li\u003csub\u003e1.2\u003c/sub\u003eNi\u003csub\u003e0.13\u003c/sub\u003eCo\u003csub\u003e0.13\u003c/sub\u003eMn\u003csub\u003e0.54\u003c/sub\u003eO\u003csub\u003e2\u003c/sub\u003e materials with a particle size of 536 nm [\u003cspan citationid=\"CR10\" class=\"CitationRef\"\u003e10\u003c/span\u003e]. Such a segmented sintering process effectively controlled grain growth, prevented damage to the crystal structure at high temperatures, and resulted in excellent electrochemical performance. Liu \u003cem\u003eet al.\u003c/em\u003e employed a straightforward low-temperature solid-state reaction based on surfactant PEG400 to prepare ZnO/CdS nanocomposites [\u003cspan citationid=\"CR11\" class=\"CitationRef\"\u003e11\u003c/span\u003e]. Thanh \u003cem\u003eet al\u003c/em\u003e. obtained Wadsley-Roth oxide FeNb\u003csub\u003e11\u003c/sub\u003eO\u003csub\u003e29\u003c/sub\u003e for the first time through a simple, cost-effective, and ultrafast microwave-assisted solid-state method [\u003cspan citationid=\"CR12\" class=\"CitationRef\"\u003e12\u003c/span\u003e]. The resulting FeNb\u003csub\u003e11\u003c/sub\u003eO\u003csub\u003e29\u003c/sub\u003e possessed limited particle sizes due to efficient thermal treatment, suitable for better capacity in low-voltage zones. Hence, solid-state methods may overcome traditional limitations in terms of process optimization (gradient sintering) and performance enhancements (morphology control) while retaining industrial scalability, thereby deserving further investigation.\u003c/p\u003e \u003cp\u003eHerein, an oscillating ball milling-assisted solid-state synthesis method was systematically employed to fabricate Li\u003csub\u003e2\u0026thinsp;\u0026minus;\u0026thinsp;\u003cem\u003ex\u003c/em\u003e\u003c/sub\u003eNa\u003csub\u003e\u003cem\u003ex\u003c/em\u003e\u003c/sub\u003eFeSiO\u003csub\u003e4\u003c/sub\u003e (where \u003cem\u003ex\u003c/em\u003e\u0026thinsp;=\u0026thinsp;0, 0.25, 0.5, and 1.0). The morphological, compositional, and electrochemical properties of the resulting materials were thoroughly studied by various characterization techniques and electrochemical methods. The results suggested that the oscillatory ball milling process enabled homogeneous mixing of the raw materials within just 10 minutes. The reduced-pressure solid-phase roasting step also eliminated the need for protective or reducing atmospheres, resulting in improved cost-effectiveness and improved electrochemical performance.\u003c/p\u003e"},{"header":"2. Experimental","content":"\u003cp\u003eA facile solid state reaction was used to prepare iron-based silicate cathodes. The details of the preparation process are as follows: firstly, a stoichiometric amount of Li\u003csub\u003e2\u0026thinsp;\u0026minus;\u0026thinsp;\u003cem\u003ex\u003c/em\u003e\u003c/sub\u003eNa\u003csub\u003e\u003cem\u003ex\u003c/em\u003e\u003c/sub\u003eFeSiO\u003csub\u003e4\u003c/sub\u003e (where \u003cem\u003ex\u003c/em\u003e\u0026thinsp;=\u0026thinsp;0, 0.25, 0.5, and 1.0) was prepared by mixing LiCH\u003csub\u003e3\u003c/sub\u003eCOO\u0026middot;2H\u003csub\u003e2\u003c/sub\u003eO, NaCH\u003csub\u003e3\u003c/sub\u003eCOO, FeC\u003csub\u003e2\u003c/sub\u003eO\u003csub\u003e4\u003c/sub\u003e\u0026middot;2H\u003csub\u003e2\u003c/sub\u003eO and SiO\u003csub\u003e2\u003c/sub\u003e. To enhance ionic conductivity, 15 wt% of sucrose (C\u003csub\u003e12\u003c/sub\u003eH\u003csub\u003e22\u003c/sub\u003eO\u003csub\u003e11\u003c/sub\u003e) was added as a carbon source. Secondly, the mixtures were milled for 10 minutes using an oscillatory ball mill and then pressed into tablets at 6 \u003cem\u003eMPa\u003c/em\u003e for 2 minutes. The resulting precursors were initially heat-treated at 350\u0026deg;C for 2 hours and then calcined at 700\u0026deg;C for 8 hours in a tube furnace under \u0026minus;\u0026thinsp;0.1 \u003cem\u003eMPa\u003c/em\u003e pressure. Depending on the sodium content in the final products, the samples were designated as LFS, LN\u003csub\u003e0.25\u003c/sub\u003eFS, LN\u003csub\u003e0.5\u003c/sub\u003eFS and LN\u003csub\u003e1.0\u003c/sub\u003eFS, respectively.\u003c/p\u003e \u003cp\u003eThe crystal structures were analyzed through powder \u003cem\u003eX\u003c/em\u003e-ray diffraction (D8 Advance, Germany Bruker) utilizing Cu \u003cem\u003eK\u003c/em\u003e\u003csub\u003eα1\u003c/sub\u003e radiation (\u003cem\u003eλ\u003c/em\u003e\u0026thinsp;=\u0026thinsp;0.154056 \u003cem\u003enm\u003c/em\u003e) within a two-theta range of 10 to 60 degrees. The morphology and energy dispersive spectroscopy (EDS) measurements were performed using scanning electron microscopy (SEM, Hitachi, SU5000) in conjunction with Oxford Instruments Ultimately Max40. For the electrochemical measurements, the cathode electrode was prepared by mixing Li\u003csub\u003e2\u0026thinsp;\u0026minus;\u0026thinsp;\u003cem\u003ex\u003c/em\u003e\u003c/sub\u003eNa\u003csub\u003e\u003cem\u003ex\u003c/em\u003e\u003c/sub\u003eFeSiO\u003csub\u003e4\u003c/sub\u003e, acetylene black, and polyvinylidene fluoride (PVdF) in a weight ratio of 75:15:10 using \u003cem\u003eN\u003c/em\u003e-methyl-pyrrolidone (NMP) as the solvent. The Li\u003csub\u003e2\u0026thinsp;\u0026minus;\u0026thinsp;\u003cem\u003ex\u003c/em\u003e\u003c/sub\u003eNa\u003csub\u003e\u003cem\u003ex\u003c/em\u003e\u003c/sub\u003eFeSiO\u003csub\u003e4\u003c/sub\u003e/Li coin cells were assembled in an Ar-filled glove box. The electrolyte consisted of 1.0 \u003cem\u003emol/L\u003c/em\u003e LiPF\u003csub\u003e6\u003c/sub\u003e dissolved in a mixture of ethylene carbonate (EC), ethyl methyl carbonate (EMC), and diethyl carbonate (DEC) in a volume ratio of 1:1:1. The separators used were polypropylene membranes (Celgard2400). The cycling performance was evaluated using a LAND battery test system, with a cutoff voltage ranging from 1.5 to 4.6 \u003cem\u003eV\u003c/em\u003e versus Li/Li\u003csup\u003e+\u003c/sup\u003e at a rate of 0.1 C. Electrochemical impedance spectroscopy (EIS) measurements were performed using a CHI 604D electrochemical workstation (Shanghai CH Instruments, Inc.) in a frequency range from 10\u003csup\u003e5\u003c/sup\u003e to 10\u003csup\u003e\u0026minus;\u0026thinsp;2\u003c/sup\u003e \u003cem\u003eHz\u003c/em\u003e with an amplitude of 5 \u003cem\u003emV\u003c/em\u003e.\u003c/p\u003e"},{"header":"3. Results and discussion","content":"\u003cp\u003eIn this study, the calcination synthesis method shown in Fig.\u0026nbsp;\u003cspan refid=\"Fig1\" class=\"InternalRef\"\u003e1\u003c/span\u003e was used to prepare lithium-sodium iron silicates. To this end, stoichiometric precursor mixtures were subjected to oscillatory ball milling to produce homogeneous yellow powders, which were then compacted into cylindrical pellets (diameter 20 \u003cem\u003emm\u003c/em\u003e). After calcination, the pellets maintained their dimensional stability while undergoing acetate decomposition, resulting in black carbonized products Li\u003csub\u003e2\u0026thinsp;\u0026minus;\u0026thinsp;\u003cem\u003ex\u003c/em\u003e\u003c/sub\u003eNa\u003csub\u003e\u003cem\u003ex\u003c/em\u003e\u003c/sub\u003eFeSiO\u003csub\u003e4\u003c/sub\u003e (LN\u003csub\u003e\u003cem\u003ex\u003c/em\u003e\u003c/sub\u003eFS). The final products were sieved through a 150-mesh screen and stored in a sealed dryer for further analysis.\u003c/p\u003e \u003cp\u003e \u003c/p\u003e \u003cp\u003e \u003c/p\u003e \u003cp\u003ePrevious studies have shown lithium iron silicates to exhibit polymorphic behavior strongly influenced by synthesis conditions, particularly the calcination temperature. For instance, Sirisopanaporn et al. and Yabuuchi \u003cem\u003eet al\u003c/em\u003e. demonstrated temperature-dependent formation relationships of orthorhombic Pmn2\u003csub\u003e1\u003c/sub\u003e, monoclinic P2\u003csub\u003e1\u003c/sub\u003e, and orthorhombic Pmnb [\u003cspan citationid=\"CR13\" class=\"CitationRef\"\u003e13\u003c/span\u003e, \u003cspan citationid=\"CR14\" class=\"CitationRef\"\u003e14\u003c/span\u003e]. Despite the similar X-ray diffraction (XRD) patterns of these polymorphs, subtle differences in diffraction intensities were observed between 20\u0026deg;-25\u0026deg; and 30\u0026deg;-40\u0026deg;, indicating distinct crystallographic arrangements.\u003c/p\u003e \u003cp\u003eThe XRD profile of LFS in Fig.\u0026nbsp;\u003cspan refid=\"Fig2\" class=\"InternalRef\"\u003e2\u003c/span\u003ea displayed primary peaks at 16.6\u0026deg;, 24.3\u0026deg;, 28.4\u0026deg;, 33.1\u0026deg;, 33.6\u0026deg;, and 35.7\u0026deg;, confirming the LFS major phase. Additional peaks were observed at 20.8\u0026deg;, 29.0\u0026deg;, and 31.6\u0026deg;, further validating the formation of the monoclinic P2\u003csub\u003e1\u003c/sub\u003e phase. Minor impurities of SiO\u003csub\u003e2\u003c/sub\u003e and LiFeO\u003csub\u003e2\u003c/sub\u003e were also identified. Notably, the LN\u003csub\u003e0.25\u003c/sub\u003eFS in Fig.\u0026nbsp;\u003cspan refid=\"Fig2\" class=\"InternalRef\"\u003e2\u003c/span\u003eb exhibited similar P2\u003csub\u003e1\u003c/sub\u003e symmetry with a comparable impurity profile, suggesting an insignificantly altered crystal structure by the sodium substitution. The systematic lattice expansions of LFS and LN\u003csub\u003e0.25\u003c/sub\u003eFS are compared in Table\u0026nbsp;\u003cspan refid=\"Tab1\" class=\"InternalRef\"\u003e1\u003c/span\u003e. The lattice parameters changed as follows: a: 8.21\u0026rarr;8.23 \u0026Aring;; b: 5.01\u0026rarr;5.02 \u0026Aring;; c: 8.23\u0026rarr;8.24 \u0026Aring;. Such expansion can be attributed to Na⁺ substitution, with the ionic radius of Na⁺ (1.02 \u0026Aring;) larger than that of Li⁺ (0.72 \u0026Aring;). Additionally, the average grain size increased from 30.5 \u003cem\u003enm\u003c/em\u003e for LFS to 39.9 \u003cem\u003enm\u003c/em\u003e for LN\u003csub\u003e0.25\u003c/sub\u003eFS under identical synthesis conditions, indicating accelerated grain growth after sodium incorporation.\u003c/p\u003e \u003cp\u003eTable 1 the calculated lattice parameters and crystal size of LFS and LN\u003csub\u003e0.25\u003c/sub\u003eFS from XRD data\u003c/p\u003e\u003cp\u003e\u003cimg 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\" width=\"559\" height=\"142\"\u003e\u003c/p\u003e \u003cp\u003eThe XRD patterns of sodium-rich compositions (LN\u003csub\u003e0.5\u003c/sub\u003eFS and LN\u003csub\u003e1.0\u003c/sub\u003eFS) in Fig.\u0026nbsp;\u003cspan refid=\"Fig2\" class=\"InternalRef\"\u003e2\u003c/span\u003ec illustrated merged reflections from both Li\u003csub\u003e2\u003c/sub\u003eFeSiO\u003csub\u003e4\u003c/sub\u003e (LFS) and Na\u003csub\u003e2\u003c/sub\u003eFeSiO\u003csub\u003e4\u003c/sub\u003e (NFS) phases. As sodium content increased, the phase dominance shifted, with LN\u003csub\u003e0.5\u003c/sub\u003eFS retaining characteristics of LFS, while LN\u003csub\u003e1.0\u003c/sub\u003eFS predominantly exhibited features of NFS. Such phase segregation arose from the structural incompatibility between the cubic NFS and monoclinic LFS phases [\u003cspan citationid=\"CR6\" class=\"CitationRef\"\u003e6\u003c/span\u003e, \u003cspan citationid=\"CR8\" class=\"CitationRef\"\u003e8\u003c/span\u003e], limiting the free substitution of Li and Na cations despite the shared Fe-O-Si framework. The auxiliary peaks at 15.2\u0026deg; and 23.2\u0026deg; also became more pronounced as a function of the increase in sodium content to surpass the intensities of the primary phases in LN\u003csub\u003e1.0\u003c/sub\u003eFS. The assigned auxiliary peaks to Li\u003csub\u003e5\u003c/sub\u003eFeO\u003csub\u003e4\u003c/sub\u003e or Na\u003csub\u003e6\u003c/sub\u003eSi\u003csub\u003e2\u003c/sub\u003eO\u003csub\u003e7\u003c/sub\u003e impurities did not align well with standard spectra, possibly due to spectral overlap and database limitations.\u003c/p\u003e \u003cp\u003e \u003c/p\u003e \u003cp\u003eThe cycle performances of LFS, LN\u003csub\u003e0.25\u003c/sub\u003eFS, LN\u003csub\u003e0.5\u003c/sub\u003eFS, and LN\u003csub\u003e1.0\u003c/sub\u003eFS cathodes paired with lithium metal anodes in half-cells tested at a rate of 0.1 C within a voltage range of 1.5 to 4.6 \u003cem\u003eV\u003c/em\u003e are compared in Fig.\u0026nbsp;\u003cspan refid=\"Fig3\" class=\"InternalRef\"\u003e3\u003c/span\u003ea. The LFS/Li cell delivered an initial discharge capacity of 111.1 mAh/g and a second cycle capacity of 103.7 mAh/g. Afterward, a gradual decline in capacity was observed until reaching 92.3 mAh/g at 100 cycles. By comparison, the LN\u003csub\u003e0.25\u003c/sub\u003eFS/Li cell showed superior performance, starting with an initial capacity of 132.5 mAh/g and a second cycle capacity of 115.0 mAh/g. This cell exhibited non-monotonic capacity behavior with an initial slow increase in capacity before experiencing gradual decay, ultimately delivering 102.1 mAh/g at 100 cycles. Notably, the LN\u003csub\u003e0.25\u003c/sub\u003eFS/Li cell consistently outperformed the LFS/Li counterpart in discharge capacity throughout the cycling process. Since the initial phase transition typically occurred during the first charge process, capacity retention was calculated based on the second discharge capacity. Accordingly, LFS/Li and LN\u003csub\u003e0.25\u003c/sub\u003eFS/Li cells maintained capacity retentions of respectively 89.61% and 88.78%, demonstrating excellent performances among reported solid-state-iron-based silicate cathodes [\u003cspan citationid=\"CR15\" class=\"CitationRef\"\u003e15\u003c/span\u003e]. By contrast, the LN\u003csub\u003e0.5\u003c/sub\u003eFS/Li and LN\u003csub\u003e1.0\u003c/sub\u003eFS/Li cells exhibited significantly reduced discharge capacities (68.7 and 64.9 mAh/g for the first cycle) combined with a rapid capacity fading to 30\u0026ndash;50 mAh/g during subsequent cycles, resulting in poor capacity retentions of 47.3% and 58.7% after 100 cycles. The inferior capacitance performance of the high-Na compositions can be attributed to the presence of electrochemically inactive impurities, Li\u003csub\u003e5\u003c/sub\u003eFeO\u003csub\u003e4\u003c/sub\u003e and Na\u003csub\u003e6\u003c/sub\u003eSi\u003csub\u003e2\u003c/sub\u003eO\u003csub\u003e7\u003c/sub\u003e, as verified by the XRD analysis.\u003c/p\u003e \u003cp\u003eThe differences among the samples were further clarified by Coulombic efficiency (CE) profiles. As shown in Fig.\u0026nbsp;\u003cspan refid=\"Fig3\" class=\"InternalRef\"\u003e3\u003c/span\u003eb, the LFS/Li cell maintained a CE above 95% after the initial cycle, with 160% efficiency recorded during the first cycle. By comparison, the LN\u003csub\u003e0.25\u003c/sub\u003eFS/Li cell illustrated an initial CE of 127.8%, followed by fluctuations below 90% until the 15th cycle, eventually stabilizing at 96%. Overall, the CEs of the LN\u003csub\u003e0.25\u003c/sub\u003eFS/Li cell fluctuated more dramatically than those of the LFS/Li cell. Thus, the substitution of Na\u003csup\u003e+\u003c/sup\u003e at the sites of Li\u003csup\u003e+\u003c/sup\u003e destabilized the electrode/electrolyte interface during the charge/discharge reactions, compromising cycling stability. Unlike LFS and LN\u003csub\u003e0.25\u003c/sub\u003eFS, both cells of LN\u003csub\u003e0.5\u003c/sub\u003eFS and LN\u003csub\u003e1.0\u003c/sub\u003eFS exhibited initial efficiencies below 100%, typically attributed to initial structural transformations during the first charging cycle. Such a discrepancy likely arose from reduced initial delithiation in multiphase materials, preventing significant phase transitions. As the cycling progressed, the CEs at the 2nd to 5th cycles showed a significant decline to reach only 80\u0026ndash;90%, which may be due to the intercalation and deintercalation of Na ions in the NFS phase, impeding active ion transport at the electrode/electrolyte interface. However, the CEs recovered and stabilized above 95% after the 5th cycle, demonstrating relative consistency.\u003c/p\u003e \u003cp\u003e \u003c/p\u003e \u003cp\u003eThe poor capacity performance of LN\u003csub\u003e0.5\u003c/sub\u003eFS and LN\u003csub\u003e1.0\u003c/sub\u003eFS motivates following study to focus on analyzing LFS and LN\u003csub\u003e0.25\u003c/sub\u003eFS. Typical charge/discharge curves of LFS/Li and LN\u003csub\u003e0.25\u003c/sub\u003eFS/Li cells tested at a rate of 0.1 C within a voltage range of 1.5 to 4.6 \u003cem\u003eV\u003c/em\u003e are provided in Fig.\u0026nbsp;\u003cspan refid=\"Fig4\" class=\"InternalRef\"\u003e4\u003c/span\u003ea and Fig.\u0026nbsp;\u003cspan refid=\"Fig4\" class=\"InternalRef\"\u003e4\u003c/span\u003eb. The distinctly different initial charge curves can be explained by the structural reorganization occurring during the first Li⁺ extraction [\u003cspan citationid=\"CR2\" class=\"CitationRef\"\u003e2\u003c/span\u003e]. For LFS/Li cell, the progressive convergence of charge and discharge curve profiles over cycling indicated a gradual stabilization of the Li⁺ intercalation/deintercalation behavior. By contrast, LN\u003csub\u003e0.25\u003c/sub\u003eFS/Li illustrated an irregular electrochemical behavior. Notably, the curve recorded at the 30th cycle significantly deviated from that at the 100th cycle (resembling earlier curves at the 1st and 5th cycles instead). Furthermore, the charge/discharge CE of LN\u003csub\u003e0.25\u003c/sub\u003eFS/Li started at 85.7% during the second cycle but gradually increased to exceed 96% after 10 cycles.\u003c/p\u003e \u003cp\u003e \u003c/p\u003e \u003cp\u003eA comparative analysis of the differential capacity (d\u003cem\u003eQ\u003c/em\u003e/d\u003cem\u003eV\u003c/em\u003e) curves revealed an evolution of the charge and discharge plateaus over prolonged cycling (Fig.\u0026nbsp;\u003cspan refid=\"Fig5\" class=\"InternalRef\"\u003e5\u003c/span\u003e). For LFS/Li (Fig.\u0026nbsp;\u003cspan refid=\"Fig5\" class=\"InternalRef\"\u003e5\u003c/span\u003ea), the initial charge plateau peaked at 4.5 \u003cem\u003eV\u003c/em\u003e, showing an incomplete shape attributed to the 4.6 \u003cem\u003eV\u003c/em\u003e upper voltage cutoff. The discharge profile displayed a prominent peak at 1.75 \u003cem\u003eV\u003c/em\u003e, accompanied by a minor shoulder at 2.6 \u003cem\u003eV\u003c/em\u003e, corresponding to Li\u003csup\u003e+\u003c/sup\u003e intercalation. The 2nd d\u003cem\u003eQ\u003c/em\u003e/d\u003cem\u003eV\u003c/em\u003e curve demonstrated significant shifts, with charging peaks appearing at 3.3 \u003cem\u003eV\u003c/em\u003e and 4.5 \u003cem\u003eV\u003c/em\u003e, and discharge peaks developing at 2.65 \u003cem\u003eV\u003c/em\u003e and 1.7 \u003cem\u003eV\u003c/em\u003e. As cycling increased, the 4.5 \u003cem\u003eV\u003c/em\u003e charge plateau and the 1.7 \u003cem\u003eV\u003c/em\u003e discharge peak diminished significantly and nearly vanished after 100 cycles. Concurrently, new plateaus emerged in the range of 3.0-3.5 \u003cem\u003eV\u003c/em\u003e during charging and the range of 2.5-3.0 \u003cem\u003eV\u003c/em\u003e during discharging. Accompanied by this were leftward shifts in the charging plateau and rightward shifts in the discharge peak, indicating reduced polarization. The LN\u003csub\u003e0.25\u003c/sub\u003eFS/Li system exhibited different d\u003cem\u003eQ\u003c/em\u003e/d\u003cem\u003eV\u003c/em\u003e features in Fig.\u0026nbsp;\u003cspan refid=\"Fig5\" class=\"InternalRef\"\u003e5\u003c/span\u003eb, with an initial profile showing dual charge peaks at 3.4 \u003cem\u003eV\u003c/em\u003e and 4.5 \u003cem\u003eV\u003c/em\u003e, correlated to three discharge peaks at 1.5 \u003cem\u003eV\u003c/em\u003e, 1.95 \u003cem\u003eV\u003c/em\u003e, and 2.7 \u003cem\u003eV\u003c/em\u003e. Following structural reorganization during the first cycle, the second charge peaks shifted to 2.9 \u003cem\u003eV\u003c/em\u003e and 3.15 \u003cem\u003eV\u003c/em\u003e, with a significant attenuation at 4.5 \u003cem\u003eV\u003c/em\u003e, while the discharge process retains a prominent peak only at 2.7 \u003cem\u003eV.\u003c/em\u003e These new features suggest an involved sodium-ion redox activity distinguished with LFS. At 5th -30th cycles, well-defined overlapping plateaus with sharp peaks dominated, reflecting stabilized ion intercalation/deintercalation behavior. Notably, the single-peak characteristics observed in later cycles would likely indicate reactive mechanisms dominated by Li ions. By the 100th cycle, the peak intensities decreased, and their positions shifted to opposite sides, inferring a declined cell resistance and polarization. The LN\u003csub\u003e0.25\u003c/sub\u003eFS/Li material maintained a higher current response than LFS/Li at equivalent cycles, demonstrating superior ion diffusion efficiency.\u003c/p\u003e \u003cp\u003eFurthermore, the scanning electron microscopy (SEM) images of LFS particles in Fig.\u0026nbsp;\u003cspan refid=\"Fig6\" class=\"InternalRef\"\u003e6\u003c/span\u003ea depicted randomly aggregated secondary particles with irregular shapes. The software-based size analysis revealed a polydisperse distribution with an average particle size of 19.21 \u0026micro;m. The maximum particle size reached 56.65 \u0026micro;m, while the minimum was only 5.52 \u0026micro;m, reflecting solid-phase sintering characteristics. The inset micrograph in the upper right corner of Fig.\u0026nbsp;\u003cspan refid=\"Fig6\" class=\"InternalRef\"\u003e6\u003c/span\u003ea highlighted primary crystallites of similar size (approximately 0.1\u0026ndash;0.5 \u0026micro;m), forming dense secondary aggregates through random agglomeration.\u003c/p\u003e \u003cp\u003e \u003c/p\u003e \u003cp\u003eBy comparison, the SEM image of LN\u003csub\u003e0.25\u003c/sub\u003eFS in Fig.\u0026nbsp;\u003cspan refid=\"Fig6\" class=\"InternalRef\"\u003e6\u003c/span\u003eb demonstrated improved particle size uniformity, with an average diameter of 16.28 \u0026micro;m and a size range of 0.91\u0026ndash;35.50 \u0026micro;m. The decrease in polydispersity would suggest enhanced synthesis homogeneity of LN\u003csub\u003e0.25\u003c/sub\u003eFS when compared to LFS. The enlarged view revealed interconnected secondary particles with increased intergranular porosity and a looser packing density, attributed to sodium salt-mediated structural modulation. Furthermore, the energy-dispersive spectroscopy (EDS) elemental mapping for LN\u003csub\u003e0.25\u003c/sub\u003eFS in Fig.\u0026nbsp;\u003cspan refid=\"Fig6\" class=\"InternalRef\"\u003e6\u003c/span\u003ec confirmed the presence of sodium through distinct C/O/Na/Si/Fe distribution patterns. The quantitative analysis yielded atomic ratios of Na: 3.03%, Fe: 13.98%, Si: 13.79%, and O: 54.07%, closely matching the theoretical stoichiometry (Na : Fe : Si : O\u0026thinsp;=\u0026thinsp;0.25 : 1 : 1 : 4) within the acceptable experimental error margins.\u003c/p\u003e \u003cp\u003e \u003c/p\u003e \u003cp\u003eTypical Nyquist plots of LFS/Li and LN\u003csub\u003e0.25\u003c/sub\u003eFS/Li coin cells after 100 charge/discharge cycles are presented in Fig.\u0026nbsp;\u003cspan refid=\"Fig7\" class=\"InternalRef\"\u003e7\u003c/span\u003ea. The high-frequency semicircles were attributed to interfacial charge transfer resistance (\u003cem\u003eR\u003c/em\u003e\u003csub\u003ect\u003c/sub\u003e), while the low-frequency linear diffusion tail corresponded to solid-phase ion diffusion (Warburg impedance, \u003cem\u003eZ\u003c/em\u003e\u003csub\u003ew\u003c/sub\u003e). The equivalent circuit model in the inset included bulk resistance (\u003csub\u003eRb\u003c/sub\u003e), a constant phase element (CPE) accounting for the non-ideal capacitive behavior, and interfacial capacitance (\u003cem\u003eC\u003c/em\u003e\u003csub\u003eint\u003c/sub\u003e) related to lithium-ion accumulation. The electrochemical impedance parameters are summarized in Table\u0026nbsp;\u003cspan refid=\"Tab1\" class=\"InternalRef\"\u003e1\u003c/span\u003e. The LFS/Li cell exhibited a bulk resistance of 7.133 Ω\u0026middot;cm\u003csup\u003e\u0026minus;\u0026thinsp;2\u003c/sup\u003e, lower than that of the LN\u003csub\u003e0.25\u003c/sub\u003eFS/Li cell (7.805 Ω\u0026middot;cm\u003csup\u003e\u0026minus;\u0026thinsp;2\u003c/sup\u003e), due to variations in electrolyte decomposition and passivation film formation. By comparison, \u003cem\u003eR\u003c/em\u003e\u003csub\u003ect\u003c/sub\u003e showed a significant divergence, with 30.88 Ω\u0026middot;cm\u003csup\u003e\u0026minus;\u0026thinsp;2\u003c/sup\u003e for LFS and 244.7 Ω\u0026middot;cm\u003csup\u003e\u0026minus;\u0026thinsp;2\u003c/sup\u003e for LN\u003csub\u003e0.25\u003c/sub\u003eFS. Such a discrepancy could be attributed to the bulky Na⁺ accumulation on the electrode/electrolyte interface, enhancing the interfacial impedance growth. Consequently, the LN\u003csub\u003e0.25\u003c/sub\u003eFS electrode experienced greater kinetic limitations, resulting in localized Li⁺/Na⁺ accumulation during interfacial reactions, inducing interfacial capacitance effects. As a result, LN\u003csub\u003e0.25\u003c/sub\u003eFS demonstrated substantially higher \u003cem\u003eC\u003c/em\u003e\u003csub\u003eint\u003c/sub\u003e (0.003686 F\u0026middot;cm\u003csup\u003e\u0026minus;\u0026thinsp;2\u003c/sup\u003e) than LFS (0.0007707 F\u0026middot;cm\u003csup\u003e\u0026minus;\u0026thinsp;2\u003c/sup\u003e).\u003c/p\u003e\u003cp\u003eTable 2 Fitting results based on EIS data of LFS/Li and LN\u003csub\u003e0.25\u003c/sub\u003eFS/Li cells\u003c/p\u003e\n\u003cp\u003e\u003cimg 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8mR8+cV8jHhtAM7FS1GSlIjc/GyoBGK4unsgrH0fdGweDA93N5gb6evO/3dC6vKwfN583M4Eki9vx7xP38fAkfMg0ZMjIeEmcgqrILKyg4eXF/r264fgRv7UwXGE/ssc23JDUS+CuoJ7ZEjHJkQk1KPehYBYOTciSzYdJwqVmuRf+I2EeduTtxbuInHHf6DHRaTt5KX8eamXDpJIN2Ni6tebRKcUkp3zxhCBQEi6v7WIlOelkPd6NiYit+bk1J0cIk/aRbyczAisQ0hsYSm5sm8ZoS4MGfPZKqKh11o/fwQxpkUwae15UlORRboGuZAhn/5MZGWJ5M2OIWTsgo1k4/JPiJOXD9l0/BYpKy8iJ4+f5O/j34ZGoyZyuYzIpPVErlTqUhlPQctJIpEQmVxO1Go1USkVRCqV0W1O4hgPUKuUpL5eQuQKBZHJpHRbRuSyevpXSrii4o5LpVKiYuXG+C9QKuSkrk5CpDJqq6hccbqoUFLbRbdlcgW1Y9p8nD17sP2vh7Pt1K5LJPW0jGRU77htqodqFb8tV6r49pKDs2mvAi+ox0YDQ4cQ7DxxFVuXz0dUYy8oytPw6fQpWL3/OpzbDcf2vUfwTktDnDpzi+YXQC7XvjklFAq5Xfj6BcHZ1gFOFpYQiw3gHdAE1lbGsLA0gbJeAomMmzOiD6GeHgTeQWjiaAv3oEg0EmqQlHAL5fRa+rrZwtziRCWxR3A2vRrm9PqFBSUwszVFVm4+DE2cYaMsxegebfDR19sRGNmaP+ffBjdGy5WzgaERxLRcGX8ALSdjY2MYiMXQo7In1BfB0NCAbv+7hu7+Cj2hPoyMjCEWiWBgYEi3DSA2MKJ/DfneU+64oaEh1V9Wboz/HH2RGCYmxjA0oLaKyhWniyJ9arvotoGYW4hOm4+fc8JESwtn26ldNzY2omVkQPWO26Z6qCfkt8X63LxCLZxNexV4QXdZicsXEkCEphg2cRauRt/Aog9eh0ltBmLvxkNRX4krR9ZhysJtaNO1Fb1LWqzPlELycDye58GOSgWFWv3oHN1fob4pjM0AGj1rsz52SbmkBmqFArk5qZAKrTFu1s9Y+eloDB8zBUtmfYKwRrbYsGQ6Rk78GuwTawwGg8FgvJy8IMdGD9u/XoTDl2P5PYGRLYa/8S6aeLvDIyAQ9879ig/m/QyH0E5QV5UCGgUUdRLeGRFQj1GjUfHrqHDeI9froqZODO+qCLlJrfQvPcgde+gLSerATfnVyMtQUAW4uTeCHd0nhPATjQU0OnQKagtHsQJJCckgJvbw8XSGmakRYu7FoOXoj3Bk/w70buKBlOirqOO9opcRDZQq7dRpxp+j0aihpmX10lbln/EC111SqxSQyeW6SfgEcpkUEkm9Nu0F3daLKA7OdvwRahU3YVy38wLr6u/m73qUv2tKuFqpgPpFCR1HA6rbv42X5EWJF7SOjQLnd+9CYnktlXIVSkrycPvWXdgERGL0qMGQ58Xh4rU7IEZWCAt0wZ0bMbBw9Eb/fl2Qdvss9h87D5nYBt3ah+Pm2YO4kpgDO1dvhPs74NCuHUguUyGyfRcEWUuwdutBlOs5YEDbQESfOYw0qR0++HQ6nA3qcWjfHtxNLoS1my+69+gPf9M63Lh2GVdjudd6ATtnVyTeuYjYhFQYWjpCKKlCo16j0LdFI91zPF+Soi/gXnY13Jztn91FTxXt6qFfsWrdZkTn1aNts0DdgZeTkvSb+H7FatxMzodvQACqcuNwPTYDLp5u+P8MdqllVbhw/hzq9cxhb2mqS32S2tIsbFu7HFt3X4ClhxdcbV/eNXmIsh6XDu/C2m17oDJ0gLeDMc6dPAWpkQPszJ/P2jhqaRlOnTwPhcgYyVeOY8vmLTh07CoUNHqQ1lYg9uYV7NixCyrzRvB2/mc/QiirLsaWFd/j4KUE2Lr4wFBZiHOXYuDg5gGDf3pGo7wK167dgMDEFubGz54+LyvLxuqfvsOug8dh4N0cntYv96ofeffvIi4nC0VFUjg72TzqyNbU4crZMzh1+iySi2SwEdUiNiUfzq5O/1NEXJF1DycuJsPd3wPiZ/bA/xdQW1eYHoNVP3yPo1eoHDh7w9Hmn35lW4HrZ/bjl407USMwh7edEdWJ0xBYucPa5MmPcT5Pbl88jcwyDVwdrWgw//8rV0lRKpZ//w2u3cuDq68fLP5Axh+ntrwQJ09dgL65JaxNRbhw9DhqDe3gYPHi5P4F9dgYYvLS7/DBW31pwXFjnwbwC22Nae9NhbuFEKEdhtLGeQsWvT8K7fu9jU2bN+HLj96GAa0zl4AILF6+EUs/fQt2FmKE9B2NTRs3YMKQdtCnxmbE+4vw65plaBXoDoVSSWNKAoGlDSyNDOEV2hm/rPsR3cK86ZML0WXoVKzfuhVjuzaFob4YIz9Zik3rV2P8sG4ICQlDIw8ndO3aFy0aN4K+HkHLYeMwe9KDb208X24d3YZtB69w35//Y+EV6EGvPBHffbMMP+44pkt8SSH1yM6sgCGR4bsFM7D5UBwMDY2RGH0OP6/b8z8P9ynrK7Bzzbe4kFwJQ4M/VkqxWIN7Vw/hu2VLEZOar0t9OamhjkN1fTXSbp7CnAVfIaOkBqbUkK5eNBv3cv/51VOJtBRL5i9EllQEC3MLmBEp9q/7Acu+XYkaiOHi4gJ3NxeY69fSAOWfXXqdW/KhoiAJco0eTm9dhq9/2QqlgSE0Bbew8OvNqFP8gxGjrAw7tv2G3DIZjAz+2PUWG5vj6sGf8M3XS3E9mwZvLzGkOgerdx6FQq7CyT1rEVNQpzsClKUm49rViyiWCWBhZgJDIyOUZd3Br7tO/dc9ncXJF/DFyj1Qigwg+v86NRz0GvpCfVym9/zltz8jIfufX6G6sqoKUip3pYmX8NmS71FYLYOpvhIrFs5BUsmLWQbkxPafse/ifYho3fwdH7KMS8+EAW3rtiyfi6XbTuhS/xgir8P1o1swZcYC3EjKoe2qPkyoP7N16VxEZ77AN0H5KcQNFGnSTuLNvRXVdLgu5dWkOOky6du1M/ll3xVdig6NnJRXVOl2tOSeXkGcLI2Iz4D3+X2FXM7/5ZBK6khVVSWprq7RzXJXkXr5ozecuDd4/pMXBdRyKamsrtXtEVJfW0Wo0pM6iZTfV8kV/N8HSOvrdFuPoVHQ+9De2+uR5uSLnff57azbp8iArl3JxmPR/P5/hVpBTm9aQtp2HkJSK2S6RC21lWVE8vhtqUrIVx8MpPbZlmw6fZdPevDsGrWa1FVX0rKqIhKp9h5l0ievJ5PU67b+HElNJalXaN8k0Cik/DWrq6uJVKlN494ye4haSRQq3fZjyGh5K+k9XdrxDek+dAyJydLW+c4Fb5FWQ94nFf/wiwpb5r9N2gyeRmp1BVQZd4n0C3WhZedHzsZn8WkJ925TG1dGLl3UluWz0ZDy8krdNi2bulpSWUnLuUYnS7T+ZMpHEsi94fKUPGrURFpbTjeU5MfZ40ifd+fRLYqkiIzoFEFmrT3G7f0DaMip35aT92d/SwqqHukUh6S6gkjkT1bcJ0N9iNhARH64XED3NI/qldYxV/+VVdWktl57HQWVgcefU/6YTv4RtTXVhC8q/q2xR2fL62vovTx9fj29x1rpk3rJkXN1Fxk48XNSWVNHvv5oFPn5cKzuiIoc3vAdGdK3Nxk3dTo5Fa2t58qCJPLRpPFk78UEfv8/QpJNJvZrS6b9eIC/U42inpRVUDtE613F37qayB+rd41SRuTPkOmqinIie5SN1FcUkve6NyZGzs3IrrPJutRnU0vt3oNrqunvV1ZyelhDHlQb9zbQAzRKOdGp7BPUy6SkMD+ZfDSyDRkwYR4preXKWUN++XAI6f7OXPIMK/ePkn59H+nQsTPZdyVRl6JDxdnnR3dTQ2WtqrKa1NRqbY1aIdPKjg7uDc4HlNB83PkLx/Qmr8/fpkul16DyxtfV7+SNGnuScWEzCQ1tRzaceGSzD3w9jkT1n0qKnmHPngevxhTn/wklTpxPhJ2jJ4KEpVh75Jou/VVDjSM7tiKhWITmjX11aQSntn+HEWOn48DuXzHu3fdwNo56yxTu21dcNCMrScPnU95ASGhTTJ7/E98DoihNwPTRg9GiRScsW74MQ7p3RHhUB8z5bjsObfgSHVs3R2irgbgcl8Vfi0MmebDgIYccu3/5Fgu/+xnzPxyHdj2H4HZuJXLjL6Jfu0j0f+11zF60AF3bRSA4qhdOnj+BeZ9ORmSzcHR/bTKy6nWX4RCIYG4uRl3aWSiavo+JvbXDe+5BQQh0UWPVuu3Irfrvom9pbRF+XPYjzEPbwFe36FZdwX1MGzMGq3YcwfJPxmLGog3gvx5Dm2XtOkYEl3avxuCebRAS1hEnE0oh0NMg+sQWtIuMxOgJUzD784/QNrIZWvV8B9evHMN77wxDaFgY3vpoCR7Et9wKzjIF10Oopb40A4s+mIilKzbgrV4dMGPpZlQr5Fj9xftoFdkC0z9fhiljhiCkaRje/XQRDh3ej2E9OyA0JBgr9t54YoFIA7Eh9PWkSMpRYvDAobR8tEM9PUeNQsaxrVi/7w6//08gz72IhT/vQ0SP4TDVBYQqFTfHTXuDRKCH+uwr2HYwASITG0RGaoc/uTk33LfYHhBz5leMn/ghdq5bivCWPbDjSgqkebcwfkQvRLYbie++mY0+XdqhRav2WPrrUWz95mO0bRGKqD7jEJ1SqLsKhf6eoak1KvNSoRJaYcK7Y7XDlsYO6Ns6EKu/XIz02r9/nll1bhyOnbgAz6AwWOvWoK8rTcXMCW/ii7U78eOCmZjz1QZU6T5NxMsW1cXre1ZjQPvmaNF1IPZdT+d7is9u/Q5d27TAiCkzsWD6eEQ2b4Y+wyfi4PHTmPFGX6qzIZjyJb2WVPccGiX/TSSe+iL8smwR1m/Zht2bVuGTL5dDrlRDKS3H2qWfYNYXy7F03udYv/eCNr+sALMnj8fKHQcxdkAHvPnBIpQ99qkfiUQCAVHzdcqtTCurf6CkQrTuOwJffrkAwXZ6WLn5V0gVKpjbuCLEwxDHDh1Ese5Z/4pLB7dix7Uy9OnUjB/mklYUYMG4gWjdrQ8+nDkH7wzsTuW+Cb7dchRbfliEbu1bomWbjth9lZYXpTj9BqZPHIONO/bh88ljMH/dAX6eDqHlq+bs3WNwK8rLlPQBdfpTmhGDeR9Ow7IfV2JI57aYv+Yw6qR1WPrRGLRu3RofzfkW747si1BqJz/5eiV2U1vbv2sbhDYJx5azSdqL6DAyMIStrSuaNm6M2IOHcS+3hKYK0GPoENzZvQE7zjyZ/5+lFts3bkA5PBHi486nUI8MhzYuwfQPv8R3cyai9eDxuJdfjvSLv1Ldao0WI9/DL/PfRxtqy7r0H4VfDx3D4umvIyIkFP2mLUVpjQx2luaoLM5GqcgRc6b0o/JWiJVfL8Smrb9hx8aV+GQJbUse/9K3UAxnFzfYmBtxnSS6RKD1oJEoO7sdG/e8mHa3ATs2+ugy8n0cPX0el07swrAO2q+avmpoKtJw7cYliB19YWGunQdScm8f3p22GFa+nTF0YCeISy7g41lfI6OSPrW+kOo0oY2KEUZO/hge+rnYu/cArmXIYebSBOZSGZKTb6HWLBRffjMfirtXsG7NjzBsPhoThrZH0rX9OHj9Pu8ISbIuIKxxCGZ8t4//3bsndmDuii3waNoKk0YNhKmmHsU1Kth6NIZYloLLd5Lh12YYJr/ZE/l3jmHm8tMY8e5M9Ag2x/njh3DiZAzirhzAwoULsffCHVSXZ+H7ffGY+/kUSMqL+N8QGFrD08MbMVfOITXzkYP1n1CWdBEnkyVo4uOvS5Fg2cJZ2HIjA927dMbrQ9pg1def4stNF7n3QnkHEKiCT8s+eKtHW2TFX8CWbWdomj6cvQMhy0nG9cRCdHtjBoZ38MKt4xuw5GAmdUq+QIBZEQ4d2I+LSdqhoJ9mjkNA1ACkFHBd4tQxm/8ett+QY/KEUWgbFYSq4mLI9cwQ6GiBjJRk3EqpxozPF6CTqwDrvluB+yVGWECdRVKWhl82/Ya6ohT88N13+HHlGsSnl+Dm6QvQtwtEv7ZhkFInijPnhk5+8BTXYPeBw/w9/BNcO3QY+TVyNA7x0aXoEHBLvVbj+Lbl6NpnFJLLZXyjJRIboCTlJl7vFIrxi9aimto6deEV6nx/DIsWg9Cnfz8EWAuRl1cKK+8A0PARyTGnYBjQE8sWTUNC9CX88vUKBA57H6N7tcbNI+txPS4Dd26cwI/ffYOfNh+FpLYSN85ehnunt9Daxxg11dou7+BAf8iL7mDv5Qx+/+8kPTUJGVk1cHa1hZh7UI0KP88ej21n4jD87ZFoFeaODcs+wJZDl/j8XBZC/+sR1BJT3x2MmHP7cfwI52wIENbICaWFWbh0KQaDJs3ElL6BOLpzDXaevYdPFnwGX0sZfv5lI4rLua/CEyyZ0AdtuwxFLq30xDtXsGrNKuSrLNFj0AhEBbpBj5bh6bVfYNHGUxg0bRKCHdS0MVqEezkV2PjFh1h/txyvDeiFAV1bo76yHKnp2Th5gBvaPgsja0eYigz4DxuqacPk4WGP5Pu3cDsuAcX51Mk3c8X4Dz9Ea09HCKizpqevDxd3V+RkpiHhcYfzD1Hg3LGrqDWxhqvuG4BGFrYIdjdC/PUrUBi7Yd7s92ClKcasDz6GQ6sBWPBeH9y5dgnr9p+gj1+BFYvn4NBdKdp2G4LhUe5Y+ek4rD2fDb3Hh16ow8sx751BCOn0JkrqFVDWV+K72TNwJl2MqVNHIzzYA+WFxSAGNgi0M0Z8fBySi/Xw6aw5aGomwXdffI9qQx/Mn/IaKnNisWbzTtQWJWPp0qX4ZeNWHDp4EffupGDw+9+gY5ArbfS1um/m6g9bRQEOHjvL7z8P6jIScPNGNKz8/GBsqv3eVcb5jZg6dzV1YMajT7fOMFfWoqSsHkHhASgqzkPS5csIHjoFsyb0xoVD27Flz2WM+XQ+mnqY4tCKX5BSWkkd3Brs2bwVb3w4B54mapy+cBmrN6xGEbFGr8EjERXgClVNPn7++mv8sGodYjOqqERroOJe4HnMyTSw8oGTRRmO7jupS3m+NGDHRgATM3NYW1vD2sYa5q/oBwjLC8uQm1EAM3tL6BtqJ6gd+XUH8msVcHTwhin1sG1tzHD70mkkZaRDLKTxK21MLF1d4OnsBBsrCyikUtRV1UOgb6ibd2KIlpEhcPP2gZ0ZYG5mhOAmznBwtAU31ba4ohbcVAUjK09079gOUU25KFyG65fPIyG7nnr1pvBrPxQHjxxEjyBbCPUN6HWFsHNyQVBoAJwdnWl0A7j5BcOVevMeDna0AZOjnIazjakTMXPmTPRv448fF83Fim9phNYyDAs3cg4FhwEsTC0hL8xDbtl/M25OkBN/g0bx9HwTGz6lNvEGLl25BpGFHWxoOTnS+5JVl+HATs4R0KeRKqeIlrSxcoOPiz0MxSKUV2gdLJGhEUS0KD29vRAQ4ARHF0datgTeIc3h7OwCextbqOqlqCmt4fMHhzRD714dYWliBLUkG1s3nYTAwpqWlT0mz1+B1V/NgL0RtxaQIf2njyZNo2j9OMPdzhpCc2t4efvDjzYe5uYmKCqnxtfEBZOmTMHEd8fAXJKMJR++T8ttAsIGv4Pk7DJecQl1lCwtFKiIT6Du2T/DreR4GolpYG9JBeVxaJRPJQddhryLzT8vgZPpo/lMltYOiGrfA5GNvWFO257TO/YgicqxtYszXP2jsPnAAbw/tCXXeQGxAZVpPS8aNfrBx8+X1oYARmInhLtTebR3oFfToLSqCsERXTBxyjSMH9EFsSe2YspHszBleBe8/fm3KNfX9mBZ2JtCT0+DxJvx/P7fSXlJMaokQpiaiOkdUmetPhNbN56HvtgO7rRszK1sIKIN6eGLN1FJxYqb3M+9wekaGEjlxZm/Rn2NVlaMjTgZEMGdBg2Bns7w8HKkZcB9vdsHDl4esLKxhLq0CnV8jxd1hNp0RetWLWFHK92U6oajIcE3NNIePeNbqk8d+Tb9151boSHmEKmFUOvpIzc/C9n3z2Hr0WioDExhb22D4TOW4LfVSxHp547OfYZhWO/2cG/WBa9HutGg4wBMfPqgQ7AFrp08huu0Ac/OvIUlXy7G5h0n0XNIPxhw9of+mLmpBWpqKlFSUsA/z5+iKERySRH0zcxgINQ2N9wK8tx6RTCxhX/jxnDzcYEljfiV9m4I8nKHt6cHzaWHuooa5Kel4uSpMzB2cIaljQWcHK2glFbzE9WfmFOiexsnPCICPXq0g6lYiLryNPz223nayNrAytIFs7/fhGWfvwULAz1+jSRujZaQppHwdHKCs7UFxFZ28PT0ha+HI0xoe1FYVgxDWx9Mnz4d77z+GuyE2Zg5dQKmf7EM3T74DJFBXvxvCkRmsDBSoTQhGY93Sv+T5BeWIKugBDY2tM51qrdj6xZUK9SwdXRERM83cWjvZnQOcYWYyoNYTDN5BKNVoCe8PLj7FsDGwRNO9j5Ut62pQJegul6FfT++h8+X/YL+Hdpj7Gfb4OvjBHuREl9OHYExH3+H4FYdYWztjrHvv49J40ajsSOhsnMBxdnZOHbmEsok2m48gdAI5hYCVObGUqeIT3quNGDHpmGgUmugoNGUyECfRktaRa6o5yJUajj5XaJ9Q6pODqlc9UjZ6R+uQeIyqeVKKHUC9wAu2wMPmzuHO4sbXuD+SmRKcMsA6Vl44LsNmzCiYwAVfAnquN+trUNlLfdJCgG/AKI2atKuJ/Tgtx90SXKv3HPb3C73W0qFlKYJIRKJIBSaYvayTSgsKqbRey5Wz36TP4e7rojzKKD6r19dV9Ln5BbeEom0TqycRm1yqYq/R+09ae9VQQ2mmm5r71Z3/7p7rpPpXATd/rOeiXsWQpM19P5UUm25dh79AVbQ6Jh7E0BVV4niOlrm5QV8I8cZcq4njf+lB9fh7om7Dt3ly5/+467L5ZEotK9Tc+UkomXsHtIWe2NSUFRYiPwbh9EiQNv1LBAYcHPJqY8h5Zcz+CdQKunz0Zs0emA9n0DAl4dP69cwqL228eYQ23rgw8XfY8Kw7vzz5FWW8XJckJHHHxfqFs6kF+b3uetwyzQ8+MQJV4ccuqKCXKGgTpxWbrjvS7UcMhVpxcUoLMjH3hVfwEv3JT4RbXgFVBfkcu0nU/4+1NolJQS0HjldoxD6G5UKTl9098pt0UOSmnpaZto6fYBOzWi6hK+nh09NT+B0lJcJml+7iCO3T/9ysqs7sdubH2LFN5/ScIQGC007Y+HCL9EqyA1H1n2B7sM+QEGNnP5uBWSyUiTEpcE3aiAO7t6LKB8zlNZJUFFQiBo1J2N6Wp2lvyOkAZC+kMokfaauo97Bu6PexuR3h8DS2BpvTZ+NyaMHoFv/t7Bm1fcY99abCHK35euSu0+xvogvDzX3oH+FWgmVRg1DWm96unrlePDMfDFxZUD/cI4gLwf8Hv1vvRJ1KhmkMjW9X86WcGfyp6Gitpr+5e/oCQa8txA/fj4BxiIhtXlVKKEyJafBSj09V48+L/fMHI+u9Zge8r9Pf5nucH/r5HK+Xjm548otqvcbOBV9HSsXz8GwHhEw1X2KQU/PACIj+qhq2WPD9v8sXJugpDplRB04fV2xlpQXQqFU8b2hXCE9sM8PbA59QO6r17ph5Afy9qAs6qn8qDB0xkYUl5QgPz8Tm76dAE//NliwYDGiAl1w6JcF6DHsY5TR+tDX2SahsRX6TpyPpLwU7P7mQ9jqOhB4WRMbQKOup/fKJz1XHkka46XEmo9SbFFdUgsV92lfSoe27SAicmr7uEZVD9VVEpj6+cHT2Y43C3zDSwWXV2JqNHhFfdhYcFJMG3t6jFvdlWtBufzcUe4fb0o5Bf+9zRBaws8vGAakEDv2HEFORS0qivJoNC2l3rmQ/ox23gXXXnEKw9lkzkBz25yx4sbCOcPx1yhRXVMLgbEN7M1/10vwpwjg0qgRNHIZauq4sW/A1tcPPr5uqK+VcK0p1ApuRowAgR1aQMgZTv4Z6bNzBo/eG//RRd2D8+sl0eLmyoNL4WwA/0y0HDnnjOt+1T6v1lA+jtDaE+0bWyAz+Sw2HbqL2toa2ggXQqbk8nNlQy9Mr8M17lyJqPl9Wl90nzOy3G/+JyvuElKFyiJ9GDl44J96Wd3fzZc+vBCFuuEeDs6gcXJF/8MbOI7INm34v8+iVfMWMKAyt2/LcqQXlKOmshwFhWX8dXmrSp+Za7g4Q8xJLl8+lAcNF78mFb/159QU11JnUwU3Wu9/L0KYW1vBVCiljq/WSgstvdC5hSMk0lqts0IdwHq5AKFNfGFpwD2S1hnihm4e1aXWDeKehpM1NX10rs6FQnqcc5y0kkb/cTpKAxZdD8fjlJYUwq1lHxw+eQRje0Yg6+opFNZr0LRZBErLylFYIUPjkFB4eTnCwrMpmrnZQZVyEmsOXkWtpB5F+bmokvw/3GBaV5V11TAxNoWFpa0u8U8wcoSzhTWqqqtoQ6ytV0729bh6f6Bv/HMS6vxyQRqVA36fm/ejgauDJ5o08kQdPZ/LKpfJIFPooUNkK/46vCPE6+HTZWVk54O2rqa4d/sEdp1P5j+YnF9QBIVW3fj64e+Fly+djeL1UBtkcPXxn+ihWlWJqjIBzBxd+R7v54EzlUdnKwsUlNfR8tCmtWnZAfXUudm9YQ1KqmpRWliEcto2CKjnw9kVXuCozvGr99Py5VWYog1LOR182paVFufDq91AHDl5CGO6hyHjyknk1f61/BCNAjVUFo0tfWGrNRHPlaelgfFSYeDohsCmTSAry4NUN6bbrP84THm9OwpTzuPy2RuoULnisw/fR7CnFe6n5kEkpl5zTTHuJyejrFYFERT8EEtVSQ5KqWEwNNRHTGwKCtMSIaF5VUo14hNSUFRaCQFtqGryclAr/f0L10K06T4Ik0d0xrW9a7B46Q84evoC8kvrUJ6fhop6as3l9chJTEZecTn0aIRWlnkfJUX5SC+qhDGNpsuKc6Hzzf4YdR1KSvLhGdIMPp6PfQ36P8AxoD2CbATIKdEOJ8HCBxMmTUVzFwNcunoN+09eRae+I/D5hNdQV1mMkuIqGo0JUZSdieiUHH74SVZRgpIaCYqzUyETiFFHG4usjDRqQOohNjREfvxdFBdlo7hCAbFQTa+R81SUpq9vjelLFiPE2QirF32INVt34db9FEi4V7bzi/nfKc6NQ35xCbIr6qBP66eQlmFcegGUGiEMpDXI1g1x/RlEUooimT4ienSidfzP0LpTB5jpaVCQS6NAikxSibuxsahSct35SsRE30I+fQaua/+PCOw1Au+9OQB6mecx9fMlOHj0DLKyC1Gel4u6OikMDKRUbvORfD8e+kaG1Ncpx72UDJSUlvDRcn5ePuqkOuv9J+QXlkJt4ITunQJ0KX8fXh4+cHQyRnlZHXXRaHsoNMP0hV+hmb8xjhy/iLv3UhDZZzTG9u8ETWUeiqv0YUwb/+zYe0jhhojFYtTUVqK8sgbJmfkgeiJIaSOUVlSMtLQSiA30UV6Yh1T63BKJjOZXIjOnhG+LHic7PQE7d2xBZhXQqWNnvDZpMgLsTTFm8udo7W+Fjd9+hh9+2YJrsbQhV9ngg5nT0CE8ACs/n4qVG37DtZu07ur+9xCaqFWoKi+HnaMTfH3/E/00ReswfxhLalAl0zaI8toKJGSXQ0wb3OKiXKQk5/GNs4GkHCl5xYiPS4WRoTGUtUWoETrj3RkfItCkDtGXz+HojRx0GDgW743ugrLCTOpwy6nsy5FLZUn+O0U0tXDFB0tmwcuwFj8u+Bgbd+yncpUJaV05UgtKeZktyolFblEJ3+tFfxAFBZm4R2VRIBRBSPNl0/r+K5S1JajSM0VEx9a8a/o8sPHyQ0CwH+ry86DQlWvPt9/DiI6RiD2xAXO/WYlT52+ghDo+6UmZtOKEMK4vQwy1MWlpaVS+DFBbXoDU1CTUSOv5z0+kZeRApes1fUBG6n3s/G0rsquF6NKxC16bMgk+ln9tbTSyUpTVGSK4QwdoZwA9XwQ0gv+d6jBeNlIv7sDIad9j1vJ16N8miE/T1Jfg7PnrkNLG19LaGZEtQiAWqHHtzHGkUINIW080auSN1Lg4KKgRDWwaBT8bIS5fu04jLgUs3IIRZifD2Ttp0Bebws/PDwJpIeKpUhuZOqJbny6wN3t6gaWaklxcungBRbUahLXtjma+DshNvIHTV+L53wxqHAC1pALJqdkQGJuhQ+tI3Lx0HnVU92xdvNClc3sYPx0YPKQu/x6mTJwEm64fYPHUQf/Vp/G5VXHXLRyHtTf0cPL4hoe9GKkx15BSVAuVXIEmke3h7WiGaurkXTh7jj6HCl5+jSCtKkZlFXUmxBbo1L0L6tJu4kpcJvQNrBHe1BeFuZnIK6yAobkDWkd449LZq5ALhPAKCEH7lmHU7Xua5NvnceNeOgzt6XN3bAdrAwlOHDlJo2rqzJhYok2LUFy9eA4SpRC+QcEwQT018qmQEzFadOqBJh7c+th/TOLBpej2yUkcPn0YoS5/7Fj8/5Bg5ms9cNN4MM6ufx+S6hLcuHwZuaVVNMIlMLFyRPOWbWiZWvy5UZeW4/TZC8gsrEFAaAu0jQhCYWosLt+8g2qpEm7BbeCozMSdNOr4UYfAxy8AqpIUJOWUw9jBB706t4GV6Z9LwwcDWyLVeRj2rpiufVPq70RZg80/LkI8CcLnU16HhaG2xjPv38Q92jAb0ntu1DQSXrQcJCWp1OmPhkShgpmlM+xMa5GSWQZjW1d0pPqQn3Ib8Wm5NEY2RIsOrZF74xLya+Wwd/OGm705MhLiUClVw7dZO7Rt5qft0NBRU12F9OQEyFRqVNVI0bRVeziZa8slLzEa52/cg9rIAV26dISLjbb/IP3edVyPiYeA6nX7Tl3hontj8H9BUVeK72Z/DHH4SLz3etdnyv3vqcy+jUF9Xke/BZvx/sAIyCsKcODYCRo8Aa5U9+ypQUhJSKB6AAS37gB5xm2kl9TCkOpIZMfu8LYzRNKd68gqqYRMSR35tvTZLMUoSIvBmYu3qL7ow92/CdpQPTR+aoFGDWKvncGd+9kwdw9Etw6tYKIuw6HDJ1FO7aCplT2aBfvi+uVLqFfpo0l4ONRVhcjMzoNKYIhW3XqjkZOF7lrP5tLGz/D2iiQcO7YTvrZ/u+T9Idd3f493Fx/D6m0bEBWgHQqWFGfgxPmrqJAK0ap9RwR5OSLu6jnq0GVTJ1kA/4j2UOdeR1J+HSwc3OHraov89EQUVUlh7xeGnm2aQcT1IOqorqpEekoC5CoNL2/NaP04mj1rWPpJEo8tR+/392DXqUMId/9vet7/JjjHhvGSo64jv/0wm4z97AdSUv3keioNCqWE7F/zNXln6kKSXSbRJf531OQnkJnjRpMVv13UpTRM5GXJZPzQPmTD0Rhdyj9HSdp18tbwfmTfzUxdysvHnSNryMjRk0lc9qN1cv5uKvITyZI5c8nJW2m6lH8bGnL96BYyZ+nPpPB3a/n8FdGHfyaD3pxE0sr/s/WfXhVqcu6QMYP6kt0X/3wdnX8EaQVZPm8KmfHtJlLzu3WUXiTyijQyeWRvsvrI/7AW2d8E67F5RdDIKnDhzBkUwRkDu0XBUPSfxEqvEBol0uOv4ezdYnTp3AVerla6A/89FTmJOHLuNgLCWyEi2FuX2oCQlmH7riOwdA9Ajw6Rz6X7Oy/xKs7dyUJI654I9fzf6+afIC/hJi7eSkJQm+5o6s29SfXPUZKTipu34+DXojMaufx5JN/QyEm4gjuZUoRHRsHN9r+dTaLCnSuncDtJgqFjBsHyGXNiXjlqi7Bx51F4NA5Hx6hQXeLzRVFTgFOnz0FhHYy+7UL4+UEvFFUVdm7ZCzOfxujWLvI/6tH7J2COzauEWoaKWiUsLUz52e4NCwKphJuIaQBzk/+9q/wB0vo6fr6KuemL+17JPwZ1Aksr6mBn+3wdjPraSmhEZjA1fH7d7f8J3Jf55RA/tyUdpLXVIGITGP/JZxUaIrL6Gqj0jP9f9V9WUg5Le5u/f6jwRaBWoKSyHvYv+DtzRFGPSimBlbkJPyn6hUJUKCurga2dtS7hxcAcGwaDwWAwGA0G9lYUg8FgMBiMBgNzbBgMBoPBYDQYmGPDYDAYDAajwcAcGwaDwWAwGA0G5tgwGAwGg8FoMDDHhsFgMBgMRoPhT1/3rqiowPbtO/nvtTAYDAaDwWC8aLiPlI4e/TqMjJ69TtmfOjYqFbfYTjn/xVMGg8FgMBiMFw+BnZ3dM7/qzsEW6GMwGAwGg9FgYHNsGAwGg8FgNBiYY8NgMBgMBqPBwBwbBoPBYDAYDQbm2DAYDAaDwWgwMMeGwWAwGAxGg4E5NgwGg8FgMBoMzLFhMBgMBoPRYGCODYPBYDAYjAYDc2wYDAaDwWA0GJhjw2AwGAwGo8HAHBsGg8FgMBgNhlfgW1EEFXkZiEtJRUl5LYT6hrB380LTxn4wNTJ4mKe6KBMx91NRXFEDA2Mz2NvZwVAkQHlBNkrrTNF/eFcYEyVSYu+iTKoHsUAFjdAAJuZW8Pd2hUhfX3ethodSUoWY6BvIKq3RpXAQeDftgHA/e93+Y6jqkRQfC4nYDWFBLtB+ApWgKDMBV27eg5yIEdAsEs0audJj9ChRI+H2ZcQk5UBsbouIyCh4OFjxZ716ECTeukSfJQsiMzuENY+At4ut7hiQce8OiuUqqIkeQps1h5lYd+AJFIi9eR1lMn0qZ0pYOvqisZ+2HOXVxbhxNx5iI1NIJDL4h4TDzdZUe9oLh9ZxdhoycguobpihSWgTWBg/+8v+eTRfflEp5Eo1GjeLgo3JA/1RITP5PnILK2FoaY8mwYEw0td9RFclwc1b96CmJWFmZY+gRj58ZFWdm4KLt+Mho9d6gIGZNSJbt0F9VjxuJ2XQO3uEoaUb+naNAlFJkZKchJLSKhjZuqFZsC+E9LhSUorDR8/TO3mEmj5Ph46t4Whlpkt5/miUUsTeuoak7FJYO3qgdZsoPCw2jRxpiXHIL62Hqa0jmgT5Q/y7sLO2JBvRMQnQM3NAWGhjmBs/sH+PUMuqcfNOEmxdPODn4ahLBerL8xGTkAEBtXN27gHwdXmJ9VMjRXT0XV5OjMxs+LJ4ZgSuUSAphuqjRAMLa3s0DvSF6LGMsqpC3E/JhoVTIHzdLHSpj9DUl+DshXi07N4JJvQ8WW0Zoq9epXayFnbOnrR+WlL9fuYv/+MoJZW4HX0LVQo9NItsDQcLQ90RLdLqUty4ehm55fVwcPWl9xpBZUkPCnkdrp8+huJ6XUYKNc9o3rErvB0sdSmPKM5IovZMiKBAPzzVAlKZTE/LhMjcCe6OT5ZfSU4yMgsr4BPaErYPb02D+7ExqJcroVALENaiBYx+X3waGTIzMlAhMUJ4qBdqK4tw6sBhVGqoraT2okv71nCyebqu/ms4x+alRqMhuXHXycLpIzjbRsw8QsmSLSdJeXWdLgNFoyZFKTfJgg9H83ksfKPI0tW7yKHDh8iqr+eQYMdOJFVaTy7sW0PemTydbP1tD9mzYztZ/Mk4MnLSQlJU/ti1GiBZd06TcDu+bXji33fHknU5tKilVeTWpWNk7ozxJCLIjQz/cDtRa+gBjYqUF2eSo/u3k08mDCdWhgbEP6oruZVZTo9rSGbiDbLz11/Iaz3aUJdHQPqMn0uyS2u0F32l0JCshJtk76+ryah+HQhtJEnvMZ+R9ELtsyRe2E6GDn2DbP51C5n6xgDy8bdbyNOSoyHH1n9BWrXqRn7esJV8Pfd90q3fCHIuPo8QaTFZ9P7rpNuwKWTbb9vJR+MGkQHjPydZFUrduS+WzLunyOR33ibL1qwlU0YPITMWryE19XLd0Udkx18kk8eNI9+uXE8+GTeUvPPJt6RaQQ+oFeTm0a3krbfGkXVrVpM3hg8lSzcfJ/UKToiUZNs3n5A3Js0m61d+Q4YNHkr2X0ngr7d70ZtPyaZz484koaiYfDSszVPHQvp9QotZRk5s+ZGMnTidbFi9ggzsP5isPXKDqKjApp78/qlzBK5tyZWEfP73XgiKGnLl6DbyWp9OVEdAxBYu5KMV+4iKLxopObfrF/LW25PIWvosw4cNJav2XSZylfZUTqauHtxAxo8ZTWbMnE1Wb9tPiqskumNaFLIqcnbvNvLhhBHE1bkx+WLtId0RQlTVWWTmO8PJ58vWke+++IgMeX0qic8u1x192dCQPT/OIiPe/ZRsWvMjGT5oINl+JkZ37BFqlZKc3L6MjHx7Clm79kfyOpW19YevE04MpWXZ5PDujeTd4X1IcONQ8s2vsdqTnkBD1s19izhYB5NMqn7SmnISc+MUWbVsAYnwcSJG5o5k9prDvH173mTEXCAfTxlPJkyaTr79cQVJLXrSlkqqysmdy8fJCtq2hXg5ECMLN9omnuOaSpKfeI6Y/072ASty8OaTtv4BqdEXyCeTp5KdT5WxikQf30Fmz/uB3Esp0qURkpsaS35duZT07xJFmkW1JJceHSLRh9eR116fSDZv3UreGdSdzFmxl6h1xx6Ql3CBvDOsA+n/7nJaBSqSn3KNTKM2Z+xrvUhY99fIiVtZupz/P15+x0ZH0oVf+UpqOmAsSazVJf6OpKu7iTXNE9jjHRJfShOkpaSaVvaZnzbS/WwyIMyOdBz/pTYzpTTtAvl89veksKRKl9IQoQJ64QCZOHYc+f7HH8mP9N+CSUOIS9PepKj+SbFTS6vJ3asnyRu9mvNlPfKTnVT9OVSkorSAFFRqjems1zrzx3dHZ1Nl0pC8rCRST9NlubFkQLA1MWvcnUSnlPB5XzVyUhOIjP6VlaSRgcE2xKpRJ3IhoZKmVJO3OgSRwP5T6baKHFgyiogdmpCjd37XWMrzSRsHU2Lh1pFw5qgk+TIJdLEnH684TLKvbCeupgLS/t2f+axpp34gMHUmmy4W8vsvEhohkqXju5OA1v0I90R7l40jZuYO5PDdbG2GB6iqyfcfDyfeTQeQRGrU7m6aT4yNLcm689mkvjKfjG7tS9r2/4zPuvD17sTCpQOJy68gkqyzxMPKnHy+JpqQsnQyNNyDtBk5k5TVVpMf5n9MPpu1gJfN5cu+Im/2bUsGTfuW1BYmki/nfkTmfvmt9tjyb0iEmxVZfjqTVOXHke6NXMiI91fyvzW+bRNi32Q4KaipI/t/mkmmzfqCP+fHn1aQwR2iyJvvf0XKpL83s8+P2vICcvrYQXL2wlWyb+Us4mhpQATmbUieUk1qSlJJ7yYupPu73/N5p/RrReyaDibpJdX8/vUD35Gmvq7k7bkb6DM8u6FVyqpp4LaJDO3UiOqmOVm86bjuCCHn1s0kpkbG5Bo1czkxx4m3kT6Z/vWOpxqdl4H63EvE186MvP/9RUJqCsjbbfxJWL+JJLvyoZfHIylNJm28bEnfz9fRvQoycWA4ce/wJi2zGiIrzyVH920lEZ6mRGTuRn7anag96TGuH15J3I1AHNxakWzOsamtIHkFWl2O3/M9sTcAaTXmS6LkI7vnRw5t+LtEBJBuQyeSxFzO7jyNpLqC5OfRQIlyZfNXxFoPpOfU1USpUJLY42vJqEmfamX/x+Vk3NCOVM+m00CTs9DPJv7yKTL1rXfJ3gvaQIPj9ontZNq0BeR6zJOORl56PPn1l4XEltp/1+BIcoNrZznqsskQWlcdRi7hHfIN0wYQM7dQciHjyca6IDuFjO0TSAZOXUHbDjWNhbShYXniZbJt1x6SV/P3BHkvpp/tf0AmV/B/NWoV5HJ+8ylk9ADX4tIyhz4NixJPHERsSj5ajRoAez191NWW4s7B1Zjw2VdIzKuArU87vD6sKyxMnjme0EAQwLdJK8xb8j2mTZ2KqfRfM19zdBkyErYGuiECHXqG5mjasisG9GgL8yd6uYWwsnWCk6Ux8u9fwq2ULPSZsAjtA50hEAjg4tEIRlAh+sYlZKps8N7k8Qj2fDR88yrh5hsIA6hx9/p55KosMGb8ODT3s0RdxlVcSymAkVgMjVIBQ3MjKErzcP7aLd2ZOoRGMDfXR03BDUybuxy3ErNgbuOIJo0bwdRAH2JjE9zcswRfbTqG1Iw8uPsHo5kfjbFeMDWVpTh77gIMzLXDYnqGZjSxGCdvpkOp4ZN4JIW5tGyioRSZQKNSQSQ0gCGpw9ETZ1FVlo6TN9JgZmLC5zUxtkB1/lXcz6lA9NEjyK8HxEIh1Co1LI1FiL17G8k5lRj41nQsXDibl80pUyfBz90CrTv3gtjUCW9Pnol5M2doj73eEUqHFhje1hO5afG4THXb1MSI/y1zY3OUxB1GQqEUzfu8i6ULP+fPmTp5JJX/EES0CIWV4YszdyJTW7Tp3BMd27XEgLdGwcXJAcRUBENoUJETj7Px+TAz0yqdqZklSu+dRVpRJRRVCXh/2kLUuHTGT/Pego3hkzr7AH0Dc7QbMAz9ureie4Qf9nzAof176Q2IoE/rUSUQQ0R19W7sbRT+gR19kdw7fgQ5NWqI9fWhUahgYSzmh8UT0wt0ObQUJ53D9cxamPN1SuMDCwvkXLuBjNxiGFi7oueAUejQwgdC4dN1Xn7/Im7kS2EkE0KPFhQ3GcPQ1IrWiTPUknKcuxENsU9rLJwxCvpchueEtKYMP3/xEW5XmGPmF18jwPXpoSMOY3MrOLu4QFlbjKs3b8A8pCNmTerNP6tbaFf8+O0irexPnQJ/R2/0aNsa9lZaPXkWjVt3oXlH4cwvX+HA1TTcPbUVK3fHYvT4txEZ6qHLpcXFuzFGvj0OgdRk6T1WNgUxN5CYkQ+h2BgKuQomBoaQVFD7eClGl0OLk7sfvN3s+HKHQA961I5wQ1jRyUUwEpnB2ezvmRLyyjg2/yncA1XkJmPDN3Mw5uMfUVRaB0NLC9ha2OK9Dz+CvDATv3w1F707d8Dkecth6eYJI+M/rvRXHz1YWtnC3sZYu0uK8cuOZPTv2uoJwXwcheqxluwxirNi8NXcj3DyTjpundiLC/E5OkdSjZSr+zD7i29wLzkLRw+dQFJeGX/k1UODtKsHMHfhl7iVnI0zp04iIa8K1Wm5kMqo40wdOS30r6YeBXlFun0dQissXb0cjRyBTUtmYvzM79H1nU8xuLUvrEN6YP5Hb0FYk4V574/Bx6su45tVP6OJo65uXiBSaSVys2XQp8aR746j1l4oAjLvZ1NHRFvLHBVV1cguKqYODTebRZuPM1BpmfGQl2ajSEWLQKDNr/2vAmmFFbQsM8C1MQ9m9OnRQKO2rADlVXVwc3d8aIiyE67iVLQSg7r4U8fGAvZ21rojwMF1a+DedjDsxARVxbmQ0Gvp635F25RLkFJYQx1tLzwIVZIvn0JhvQCNQ8JeqLEzEItgINIabVVZMeoldRg1YQKsaaFUFqRCSvTp/T14Fq6gKpFTJsel7ZsRnV0LL0czfPfJRPQePB6XE/P4fE+hkUPxuBfKU4Os++UgNJkve/ofbjphUXE5Siu0weLLRFxaJq1JjVauKHp6QtRXlKCsspjf10JQkHQfKk4GtQ/FZQTkRSipqeNzaFRKqDTPsG/yPPx6MRXdenaGvaH4oTzyyCuwd9N3WLx6DwqzErB263HINY9n+Gcpy47Bpt034Uqd3ou/fY1+/QZj66kYPKZ+DyGSMuxa8y2+2XwI+WlxWLvnNM0ngKWjO6x1zm9dxhXcKVXRoCoAhlp1/UP8wtrh8zkTsO7DoXh38QFMmTUDzQJddEefRCqV4fddIul5Baipq3/UplA7qVEqkZYYjTunD+Cbb77BlZgU7TFOwmm9PqgdVUUGJCopLP3CnnDI/z+8SF3/R+DU2tLRB9179ucnbHLyzsmFQChG7zHzcOLAWrRp7IDMlDisWvwxBk1ehMJqKX/uv4Hci0chcW+GCG+b/1qIbF0CMXvFLix+73VUZd7Gjyt/pYaUm/AphGezHtj46zaM6xuBu8fX4cTV2Ccmb7466MG9WTf8svk3TBkSRSPIzThxLhq1Kn1upr0uzwMINaCPJrw+wMM/BG2bRiKymRdyk25h67ZtuESdQBq2Izg0Ap07d4OrfiXiYm5i5bJlyH8JImdCVFA/o53TKJS6LS0q2kIq1E/XrFKl4g3Zs5oBJc0vVT75kJzsEY0aGq7FfYBaibhzx2Ddqg88n5p1WI99uy/gtRG96baGOltP3tcDFE/UB8HtG/EwNXFCswA7XdqL5+BvO2DTfDjmj+/N2X8olc+2P2r6KBduXYO+sTG6DBlPG7qeyLuyFh/NWYaUkv/UKVFCIXvazKtp8KJ5Vov5gqlXaZ/rCdtE1FBzM2AfQyn9Xf3zJ9B8f+GI7NpyCE2aRSLAzf6h8/QQsQV6jJyOg9t/RoAV8Nuyz3Gn8Nly9vejRmnWPeQr9BDUvCumTh4GYXUyJowaj9isEl2eRwiMrdBnzMfYs/lHeJkpsGnhV0iuelLHbl6/DGNHRwQE+OtS/py7Z/ZAP7w/ejVWYdeJO8/U5T+CswkqWp5P1Bun3wbGCGrZCWPGjKE66In4mydx8WYy7l0/gPO3c/lsaZnlkNQRhDWy4ff/DhqEY5OWnqbb0iKgnryNdzgWfjIeHk7WVGSoQVbVIb9Iinb93sGZm/dwZOMSBDoZ49qvS3Ep+fFooCFDcOjoMYS1bQ8ri//u7RBCGyA9kQHsHNzw8eJZaBfsgYqKYtow0cadCrXYyAweQVGYOnUSfM00qKiu453MVw01baC5N5Y8A5pj4nsfwN9ED+Xl1bD2tIOBoYgrCD6f1igawprK1+MQaQGG9+2LONu2OH34MN4f2hxZNw7h2MlLiL+6DyPHTEXzsYtw7vJJhDjp4erJg9i1/5ru7BeHyMAKNq40ynqs0qhdgr0vDQ4evNVEsTQygbOlDW1oHq9dAk8nTxjYOoMbVHuy3gXwsLNGY2c3LhtFW37c+UaWtjA3eSSHCkUdDp+9gH5Dh+hSHlGTcBw3DVugc2POQRHCzMaJN16Pmjvuunrwsn/Ufa+mkWBiYSFcwlvC8i8i1udFVcp5nEgzx9dfzIGPvQkNDAis7L1oKal1JcPBlaAxXGwNaR3QxkqgB0NzS/h7+SPUyw0xd26isODJoZk/xhoufiLuEg/h6tXGzgIWVk+/VfWi8Xfg3h580HdF75XKicjMGtamj7/FJYCDjzut8kclRj0ammxL8/1x73vu9b04fPEytm/bhM8+XYQsquvV5TnYsuYQDcII/Z8ezKhsN+8xGjPH9oGRoBI10sd+4x+FQKXgHFwB1UVqV2yC0NTNC5LSm4jLqdZm0cHZYg3Rg7mVLVr3H49po7pApKxArexx5a3FtVv5cHJqDF+7Z7/Z+ACNUoYDyz/EtlwX/PLV5/h00U+wzd6NWauOQP5UD+CzcbW2gZmBmG8POHj7SNsLN9peGFIdt7GxgbGhGEHhnbDvchZizu2lwZ+2R8i/WQRGjhoJ879RR18Zx0ZfX/vUAj09viv1AcqaTBw+cInf5vJwJljAdYfRyndu3haeDhb8K6B1NaXY8vPPqFMQiA0t0Wv0J/hh1gRYUSF6zKI0aDTyLJy8C7QPC4IJL+sEkqpS6hhmoqL2UdT4YFxaT6jPl6eqvgrHdq3H5gPnIefsh7EbXEzN0L5VR6ilpVjx1SJcSS7kz3GwtIBLQFsE+rg8HA54VdDUF+KHxV/gerK20bA2tYR3aBt4+bjCPigCPnY21EFW0YZen++p0bO0R2RICBT11cjOSENxRS3q8+/gSlIRLMzMYGzriTGTPgAXhyiox3D7zi3k5NfA2cEBro3aY9H7I6CQ1kOpefFDAhbm1mgZ3hRyqVSrQ1yULDRA50g/CNVSZGWk08CgHFauTggOawyNQkb1jOqbgBpkoo+WHbrAzM4XUX7WkMq0Ua5GJYPIsAmC3a3QunsbGFG95QyfkAYeCoUSPgHBcHV15fNy1GRew/VcHwxs9eg15Qcc2LYfHbv3gaWBVvnt3f3R1NYMMrm290itlMPAoR1C3B4N66Ump6CoTIq2rVrrUl4sCkk+lm86guZto2ArqkPMxR3YcykdVh4hCLc3ps+iddPUchkM3CPg62COds2iQJQKVBSXQCwSQ0g9FFMql6bGJigvykd6RhbqH7wmr6cPIddFTRFS3dUiQNuOnWnBa/jhA6EeAfWl0Ng3EO4vyyoDjxHRpQ1MDambR+VEj9pzTk48fAPg6emJ6rJipKdnoFaqhEuTTvA2FUKm5ow3zSeTw7JJE3g4aOf2cTqqHRYRPCwLmUKIiqwknDu6Dzt3HUaZWk2vX4Fbl28jPuk61vyyBhnl2vekvR2dYR/cD8FOz8sj1qfOWhisRWpUlZXzKfyb5gIxrMzFkNZU8M9eTgPGpOgz+OXnNcjjRxpo4GDvBs9W3eBj/ahhrEi9h2KpBCFREX/ayMvqKnBg9QLsK3DEkk8mwM5YBEMLF0z4YA7sys7gq7WHUVUn0+XWoi/Stgvc/MoHbbF/sxCqy/ZQUVkVcvaRes9G1CENbxGhzaCDa1MMDY1gZGj4qJ2hMivUte9/F3/2zC8JBLWlBUhI0o7PlRXkIyk+EWlpaUiIu4OvZ05FgtIFkspCPk8lnyeXbidDKqSeorGYrwQopbh+cB1W7zmFRJovJTkReRUqdBvzEVr7v5oTXf9bYo/sg8jLC428nLUJtEE9uvIz+Pk2wY8Hb9GiVqAoPwsJiWmooYFidmYC0nOKIZHUYM/qpXjrtWH4dOkanNz9K9TBvTDtrS4QVqVhwRfz0btnH6zedQR7z9xG+wHD0b1lU+1vvELIiu/jm2VfoWvXHvjlt0M4dDEazTr3xqDOkfSoA2ZMfR2G1BDG3IvF/cw6dO83GH07ByL+9CY09/XDtK93QeDUAoPbhKAw7T7uxScgI6cQ/i2i0Kl1C3Rt2xZhjV1x7dI5WsYJKJBQQ962C7q1i9LewAuEW3Nm2LuT4Gmkwc1rMUjJLEHbEVPQKdgVtVkXEe7ri4HvLgIxdETfoW+imStBfOwN3ErLQVD74RjTPRDm1s6YPG0KRJocxMTEILtWjTenj6cNtA3swwZhyuDWyE27idtx8agz9cSbrw2En+0DY0xwbMt6hAwZjt9PmdRICrH7TAp6dA2DSMhrM1w9gzB+4puQVqbjXswdFMIYU2ZOgZOpzrFRyRF39ybq9dzRwlc7mflFwjUgG76aj0WLv8G7b9Dn9vNDs/avwcLdGTYO3pjy3nhquDJwNyYaRQo9TJg8Hq62luj45nj0CPfCtbO7cIvavSqYY9jwIWhCbdbC8QPg6x+Bq5lV0KgVyE6MQ3JKBv21WqSnJCC/vIY6CMCgd6eifWNf3Lx8C/FUJt1adMKgAd3w53H8i8G22QBMG9YJRRnRiImLQ4XYEaNeG0odDDHWz6KyRJ2cHTezYOIYio9mDIckh9b/vTuolBli3DtvwsvdFippFVIS45GemQtZdTlSUu6jhAYdfu36U52+jVTadqSl3UIwdZ5MrBpj87Z5KLpyEpMmjsebY9/D4TNncfh2AWbN/xTODxca+udx9InEx+N6oDjjBs7euoVCiRJtBkxBC297XNn+JX12HyzdfhK58RcwmcrHm+9+gGPnzuJ0UhXmzP0AtkYPQkk1bt6+jSqVAZqHBujSnk3uvbOIrrXH7BmT4Gr5aK0cIytXTJwyDTbqDFyM1Q4ZcdSWF+P+vbvIqQLKS0uQeD8VNfU0yHEIw/jXh1H7mIW4uLtILJGgy4A30S/8xQwBC+dRdNsvJ1QxC5Pu4np8KuycPBDg4UFNmAK11WVIS7yNW6lV6DF0KBzVObh8JwW2jm4I8nSG2MQYgX5eMDHUVraAGkRDQ0sYCOqRlVeEkoIsSIw8MX3q23C2evGTN58HyUnxcA2KoMIe+HDxL7lEArWZE7p17wZfJxFib99EQloJPH0bwcHOCKYWDmhGlcPX2xsCGrnnpqegWt8Jn3w+A972ZtA3d0ATF3PIZTKkJCXBtVlnTBg7EnYmzyvS+fsQUWUOsDODSi2nhjERjkFtMHH8GDiYahtT77AOcFNWIT6/GMTSGx/MeA+OxvqQ08hIqSdCyw7dENo4AF07toKqLBdZZdWQStXo89Y0DGgTBDNHX0QE+yOLNkB1kjpU6dlhxkcfI9T9xb8VxUV+3BsPjVwskEQdAmLZBNOmjocHLQ81dRKqJSq0aNMZUc0D4eLTGB5OFsjJSKbPYI4Zn8yEjy3VIVoGPqHhcDJT4MatWLjS8po09jXYmdImVCBC647tUZpFHboKCcI698GbQ7tDpC1aCsGtOzfQdehYeFg/OUSiLE1CIlwxpHPUQ32GvhEah4fBmNTg7t17aNRpECa/2RcmuhXaiLwWufl5cIvsjGbeTnzai6SmKB2XrlyFjVcQQkNCEEL/hUYMxJhRXWAiNkRQeDiN1itw424qglr1xPg3+sLCUAihkR26tY9EbUEGsmoUaNqxDya9NRymIoKqqkrYegaiR8+uMNenZX76FDLLlVR3A2BtZgQbD3+42lvB0NwFHVo2QcLN66hT66PHqCnoHemru7OXDX206twRFbmJKCivRWCrrhj7ej+IqZxIariFGD3QtUd3KpcWaBrRBha12bidWobgVr0wdkQfmNP6V1Tn4tylq6isE8C/cWOYmYng5uEFZ7vHXWYZirJL4BvRAh16dICHswsczfRRWVaE1MwidH3jPYzo2lQbFD8n9A2M0bwNlQdVDR+824e0xicfTYSbjQlkNLhUiW3QqVd/tI8IgzUtkMqyAqRllaL/OzMwsF3QY/eqRE5WEcydmqJzhI8u7dlYuQSgS7uWsNZ24T+BvpElWtCgzN/FEgLdWGZx+n1cuXYTKitHNPb3g6HIAN6e7rA0M0bjVm0hVlYiL78AQnsfzPxkBiy5insBvAIrDzMYDAaDwWD8Z7wCQ1EMBoPBYDAY/xnMsWEwGAwGg9FgYI4Ng8FgMBiMBgNzbBgMBoPBYDQYmGPDYDAYDAajwcAcGwaDwWAwGA0G5tgwGAwGg8FoMDDHhsFgMBgMRoOBOTYMBoPBYDAaDMyxYTAYDAaD0WBgjg2DwWAwGIwGA3NsGAwGg8FgNBiYY8NgMBgMBqPBwBwbBoPBYDAYDQbm2DAYDAaDwWgwMMeGwWAwGAxGg4E5NgwGg8FgMBoMzLFhMBgMBoPRYGCODYPBYDAYjAYDc2wYDAaDwWA0GJhjw2AwGAwGo8HAHBsGg8FgMBgNBubYMBgMBoPBaDAICEW3/VxQSSUoKa+EnkgEoZ4ACrkc+sbmcLC20OUAlPV1KK2shp6+PoRCEexsrfl0jUqBirJySJUqaPREcLS3hYFInz/236KW1fP3AaE+9IV6UMikUKo19IgA+mIDWFhawszYkM9bWVqEaokcZla2sLEwofehpPcm4o+9EmjUqKuthUSugJ5AoEsExAamsDA30u09QlpbiZKKahhb2MHO0kSXqqWuqgyV9Rq4OdvrUrSoVXKUlVdBT08PhGhoGZrQa5vwdfzqQaiclUHf0BTmpk+XDw99xppqCcwszajEPIlaXg+pWgRT46dlpK6yEvVKJQR8PRBoNAKIDY1hReXqZaS6rAi1Cj24/q6+f4+ksgQVUg1cnB2fipZKC/OhEpnCyfaRjnMoZRJUVtfByNwaZkbP1ieNUoqioipYUl03NtDmKS/KR50SsHNwgrH42bFZVVkJ5Bp92NtbP1U/LxPlxfmQwwDODra6FB0aJSoqqqhttIT5M+ToEWpUUDsm5PTN7HeyqpahoKAUJrZOsDD63+zki0IpqUJRZT3snZxhINQlPgO1vA75JdWwd3SCoegZsqBW0PZCD0aGjz0/Z6u49kVkBGuqv4+jlNaiqKQcIhMrOP5OXp8XMkkNqmtlsLCxffYz/Q6NQkptih5MjA2oXdGm1VMbzqXZ0Hb1z+RfJpFAaGAAEW1rn4WK2ioVbRcNDQ10KY9Q0jYUYmM8cYsqKfIKS2Fm6/ynMietl8OI3u9DiBIFhWXUnlJb8Hj6/8hzd2zqCjJx7vwJ7D58HjVSGXzDOqFbj07oGhGsywHU5qXh8OH92H/qClQCQ4x6fz4GtfGHklZW9NlD2H8tEVa+zfHusJ6wMTfWnfXfUV+Si4sXTmDXoXOoqK1Ho8hOCHS2oIpSizt3UxHUrg8mvdYON8+fQ0JmPgRCMXUEaEVR38fTrwVaNvfWXenlp7YgDSu/+wpnYnOoo6EHgZ4QYn0hhkz7Bq938tPl4lAhMfoCjl+6BxNzc1SVVKBJ2+7o2TaUCp4Kafeicfl2POrqJLDxaIJ+vTrAREytjkaB6KNb8Nn3OyAS61M/SoF2Q97H1Dd7wczgrxXzZUIlKcaWNauw78R12PuGYOSYsWgX5o/fq+j1A5tx+KYUcxeNxxPNDpFg3ZcLgaCReGdAiC5Rh6oEcz+YjejkLBABVw/0n9gSPYaOwdSRXXSZXhYIYq+fws34PBB5NQzcwzC0T3sYPcNKZt29hFM3k+gzKWFk4Yk+/XvAypDWu6oel06fREpBBSQ1NfAL70RliZaJRoXSolxcvXAG+w+egsg5AO+MHYeIAFfqeOsuqpbixsULiElMhVxlgf4j+8HDQg/H9+9FbG4NLGhDJVWK0KN/PwR4OuhOAooz4nDm4k2UV8vg4R+OPj2jXs5uaVKPC0cP4lZKKQzotqFrOIb260yfS4Cq/GRs37KO6mE87P1b4M2330HbJm66Ex8hr8zD9o3rsOfMTdi6Ncbrb49G54jG/LH6ihycPn0BZVVyVCsU6NRnGEI9f+c8vaSUZsfi4Ilr1NTSpsnYFj169Yab9dMBRhW1a4ePn0WtXAWRkQ269+oBN3utM1KSm47U1CTcjUmAV+Qw9G7twadXl+Yi7vYN7N17EHlKU4x4423069QcQvpb2UnROHzyCgQ04KuvqIBns7YY0L0V9J+TZ6xRq5CflYBLp07gyOkbcA1pjXfGjYa/kzawfzYK7P/5a2QZtMKU0R0hJArcOLkD67buRanSEt0Hj8QIqreWJmJd/ifJjLmCS7G56DagPxx/F+TWVeTh9JlbVG9bobG3LrChtj0jNQXJ9+8iMbMAvcZ+jABLbQHVV2Tj8LFzNIBWo1qqQOfew9DE04Y/9oCynHhcvh6N/Ho3TBrdhXfEaitLcenKFRRUytGuYyf4u9rpcv8/4Byb544qg0R5OnIOFZm7L1GX+CTSvBukfYAXn8cpqCs5n1CoPSDLJhu27Ca3k8u0+/8fNHmkR6gv/xuzDyVpk+rLyfqVK8h3a/aS+1d3kKjWncjZmEz+WFr0MfJmzzZkzprb/P6rQsyFfaSlrxXx8WtEAgICSSMvBwJ9e3IqvUqXQ0tR6hXStbEd6T5tGamj+3sWDCe2Pi3I3XIlqcy6QwZ0bEXmrD5MSuL2kkD/QLJ8XzTR0HzS2lIyf2wX0qRJExLQyJ/4+IeSn/ZeJAr+qq8SanJ+zyoyaexoMqBne0J1jni1HkxuZZbqjmspiDtNIj0tSWibyUSuS3vAqY0LibUIZNLik7qUR1Te2UWaNmlEPLz9aD0EEG8vN2Jl50R+OBSry/HyUJRygcpMI/LLqfukPOkwsTd3IytO3NMdfYSs6D7pH+ZJPt5ynRSnXydhHjbkiw1n+WPxx9YS/+CW5GJiHrm9/TNi5x1JLlK9VclryO2rp8j+A7vJvAnDCTW5JOrN+aReruLPU0gqyeqF00mbNh3JrG9Wk7SCcj796s4via2JmHx9KosoypLJGx38Se+JC0m5jD9MYs/uJYO6tSH935xGjl2+S6RKbfrLSMzxFcTNXI/8eDKdJJxZT2wMrciSzWeJWl5Fjvz6Ixk/7h3Sr0NT3jZ5RQ0lubWcpj1OPTm+Yw159513yLDe7fh87k27kbt5EnpMSjYuGkui+k4i2eX1ZM6IKNK83yRS8nthfRlRlJHJA6LIwOkbSE0+la0IPzJhyRbeHj2OUl5NFoztQzqOnkNqKpPJiK7h5I1PV5FqqYbIy3PI7i3LSbi7IYHYjvywI4E/RyOXkISYy2T/wf1k/fdziY0AxMI9jORSsaspTiZvdfEjYQMnk3xquK6smU6snfzI8USt7P3zaKgdLSNnT5wge37bSiYM78jX6aQf95J6tS7LM4g9vYX4WRuQ3uPXEKVKRYqSrpDPZkwib40YSNxsjQhM3cm6o9FEq1lPIy3PIj/M/ZTMnLeSVEge5ZJWFZOf5s8l367cQUokj2QvL/Ue+XnxB4S6j8TON5RcK9EdIDKy6vM3SFjPaaS8tp7MHhxOIodMJ0U63XxA+q0jJMLfgvR49wd+X1pbQZbPepdE9XiL3E4v4tP+Dl5MMCM0hJmh1js0Nnt2t5OhnT36vf0pejZzQWHCKXzwyXxkVKgBAxM4ObjB8A+6zv4rBNx96IYAqLeskamQE5eDTqNGY1S/CJw+dARJqamISUjls/g074Gvf1gGfws5v/9KQFQwsnbCpNkrsf233/h/s8b2R0Sv0Wjl8WQ3bNq9GOqFl6IgLRWVdWqEhQejOj8NJbVKxF47hRPRqXB2dYCdtzeMUIav120DVSZUFiQitsIWn81fgt/27Mf+fXvwRvcWT/ZkvBIQmLuFY8Wajfht/Uq81tIDmQmxNPLL1h2nKAqxdsNm3MyqgonRk1FQ2t1z2LRlL6rUIohET/efF8stMeeLb/EbXw/bsWze+/Dzaop+HZrocrw8nPltM26lSeDrYQkL7wDY1+Rh3Q/r8XvJv3ZoM07G5yAwwBsGZs6wMq7Crh2/olwqxa6du5Cl0OcjQd/GQSjLvYsfth6BQGiEwLB26N9vMN4e1gONfN0R1sQX+tQaaVRyHFq/EHN/2o2B05di4Qfj4KOLWM8dOwrqxCA77i5ENk7wdbVCTk4WZPRYUcIFvD95AgptOmDbpu/Ro3VTaiP4015Kdq/fhIIaDby9XODUuB0CbCuxZfMGpFao4NdyAFasXoudOzYh0tkERbHHkVShO/EBRAO7gLb4Ze1abN+2Bb1C7VGan4rolDooS1Kwe88xCCydYWxshCD/AMQe24qD1/N1J7+8FEQfwpYjMfD3CYCpoTncTYU4smc3knPqdDm01FBZWv7rCTj4eMPM0gZO9obYvWMXUvNKafsiRmir7vD3dICRiQmEwkddLh6BUejftz/GTJsEXzsrRLZvB67PvygzA3diU1GWl4fiklqEhoVCUZaN7CpOup4P+gbGiOrQDYOGj8KA7u3h6eSNRu4uf9jjWJRxH1s3bkVWpRxiQxE0GhqvGlnhnc+WY8O2nfj43eEQ1uUgJjULCt05v8fQ2gNTP5oKL1E+Fi3+GfUarrO0HD8v/QZSuxC8PXYY7IwflZ++kSU69O4FZ9psG5sYPexhlebfxdZdx2Ft7wUDWv6NvX0Qc/I3nLj5pMx5h/fC0G7NYMIrJ0HG7bM4cC4JPduHYNfG1UjJ/72g/2+8GMeGEK6TUbtJK+OZqBSw8o7Edyt+RpSrGW4f3YhZi39CjVyf3rSG62nSZfz/wN2H9joisYg26Lfw0+pd/NwQO3snNPL2hLA6F/M+nISBb0zG3lPRsPeLQL/OAfw5rwQCPXgHhGPUm68hIqwpmoaGIC8pBf2G94Wh3pPVHxQegfAQH8QdWY+3x03FNzvv4v0536CVvRyp96MhVRlAjyt3+n+h2BA5V6JRXF+P8zvX4tips/hm6ZdYtPQHZFZKYf43jJM+f4RoFhHBb4mpAvu728HOxRNuHl58GsfO9dvRqEVLcC7h4xIoz4vBhXvFCPD3g6GY69h+Gtdm7TCwX29ERYTRemgKUX0Z3Fr0gqepLsNLQz3uJmZDSf/HDdBzQwJ69F9Z1i1kSXRZdFyLvg61UquP3D+RHkFpcQHu3bmDrII8KDS0LGi6htDwWKVBwtWb0Aj1YaSvwPn9azHus6+RWSFEy+bhEOkLUVOYiIULV0Bo6QojeT7OXY+j19D+Vo8Bg2BOlNi4ZAbenDgLuXp+mDllAhwN1Fj/wzc4l1iCFiGuOHHwGDJKf3ejLxlSmfb+iitracNrCEcXG5SXFCK3xog6u25UEmkMZx8ALxMxTN0iEWz/qHHhEZggLKSRdtvUFd4eVjAzd0BkqBWyklKRmVcEfbE+Z2q5+QbU0isQfeWGNv9LzM0LV6GgjoiGOm68PInFKMjNQFbmY8EFlcX8uPMolenTctIKB2ePpNmJyC0ugdjCAb7evnBxsqE5H2miQGwMY6qbsZf3YPKIkYirUsG7cVtY08J29vFDuzZRyKGO1eQJU/DJimN4Y/oi9G/y53PL/j4E0BcZQaisxI7VX2HOV2shNXVEmL8rnjWar67Iwo27ibBy9IGduUjbjgqEsHEPhLcNd4I+PF1cafmYItDLGc8eiNIiMHHC2GlTEWxZhs9nfokvZs+D3K0Fxr4zCJa/i04dXNzh7RdAnR1aC48ZufSYeBRXcHNWuTmW1F7QdkehlNP6PIG4SyexevVq3ErI4PMqlGoI6HFQ+5KVfAMVRj4Y0i0S586ewa2kx+v5f+cZRfbyoFIq4BvZBz+tWQ4XQxl2r/wCy37eBBmN+P7uG79xYCMWzJ2N43fyoW2ShWg/bAq+nDkW6qI07N+6EhNGD8XwSbNQY2DF53g10IO+vv7DCWSkOBr7s03Qo1WjR/MZdFh5huOnFT8gwtcCp35bhbV7L8I+KASmekpUlpTxQvsElVWoUquhMLBG3+6tUF+YjF2bf8GYYa9hx/kYXaZXk5KyItzJrMawEaMR7q3tMbh5eD3kHq3QKSJQZ04fUIvd52iUGRaFxh72tKwf0/jHMDF4ZF5kkhIcPnQEfUYN06W8RGhqUCyR0g29JyYeqjV1KH8ycEZlUTVthOiGLiM3b0hZr0RJei5k9bTxftx5po2Vqria72GBwACe3v5wsraArCobn0/7BFlVEuTEnkBMiRoR3fojwkaKLyYOxsQFP6NCokJY7/HY9vNnkJRkYsvPP+FKZi18AgOhV3MfZ27Fgzi1wMheLRGz53sMGjQEx2Ly+J99GRlEG1YTkR4O/HYASo0StTW1EFH5MNBNkOaQ513DjQox3puzEI7a9xieiao2GzH3SzB4wnQEW4tQWlOFWgltPB6zklw0X1VbqNt7eckuL+cbxgdwk+zVUgkkiicd1Yr8Iipbj0knt62uQ52cOuMUjUoFNf8yyNO4egXByd4WRFGL/au/wJZzaTCx9cL8pcswoE0jXDu8Gau2HIKJTxAcTJ5vt5/QwAR+fr6wtjBCccYdzFqyCiVV9bqjD5Dj0q0YaCy90LaZP4ScE6g78hB1OW7fi0OzXq+jR+sw3lH+M/RMHPDa0M64fGonjlyJQef+1Kn5A29IpVJqdf4xiqtrIJGpHlkMWm9EpUA1dW7cGjVBp06d4O2idRLl0lqat5ZuiWDn1gjG0gwaSOXDz9cXdtZ/T9v6Ujs2HEoVQXiPkfjlhznQl5bhm4Xzse3weYh0byz9XQS17Y0P5nyLNzv6aw0vxdDcDmNmfo/oq8cxZUQ3lBVmY+cvP+DDuSt0OV49Lh07DPeQDvCytdSlPEJdVYBfflqJ5iM+wSej+0JdW4ZlH07EhQwpjLnJZ4+76BxCMQz1DTFs8gKsWb8JF2/exa/LPoVeyX2s2XYSJbVqXcZXDI0UN88eAvHvjQXTh/FDGnVpF3GzyBy92oZDnxqSB3DN0NUjJ2Fi6YKWjd0h0KifKqZnUZl+DZfLGmFgxPOKCP8L9EQwFHKm8PF4l7NVenis3eURG+tMmS4jH63pC2FgSoMP+vdJBBAYibUTselveIa0xfJf92Nsnwjq0BxEbK4UBUnJVK6M4ODlhfBOLeHiYICNS35CQl4xypJu4OctRzF/5TYMjnBF0rXj+G75L0hKzoO0thYmru4I8PXHwP6tce/ySaxat5v/1ZeRqMHTcerwToRZFGDj1m2IT6FBnKcfgl0fFfDar79Hh6kL8cGwKF3Kszm15XsYtpqOr6YO5g26UKRPgxnuyKPa4xwEA9H/9qLF88REZPCgaeThn4DKkUjvSVkSG/+u1eWVjsrW73qhn4W1SyA++nIN1n8xBkU5Sbh2+zbV+XpsX7sa5k37Yu60sbDUl2HlxxOwN7ZUd9bzQagvRliHgdi+bSP6R7jjwqkzqKx70qlLuXcXuXnV6N42FGKBGurHlVRH/OWzSK0SY+4Xn8HL+q/bSiW12ZNn/YQPl63FD3PH4ofPJiOxTKU7+tcYikT8UPJDi8HVB61IQyNjWNo7wZc6LdYWprh37QjE7p0RaifDhTsFaNZ5BL6aPQm3UrIwZtI0tG/irj3//8lL59jcvnsNaRnpVJhFvDJyrw5zzUfvUe/j20/fgrSiAimZWVALtWN02XdO4/sffsDVlDL+fC0E0tJkrPnpK6zaeoyfpQ2iRsrNw5g3bx6+W7UJqXk1NN8jZTGysIZfI9rQDGgPbXXWIvpyDIqKNAiM7I7vNh3E3ZOb4Kpfj4Rrl1HJ53nV0ODoketo2745zE0fGAYCtUrrgJzcvw4/bDiL8JbtsWjNDrzTJQilecm4EZ0HD+p1Q62NhnhvnDbgxs184SgSwsjIDGZm5rC1d8HIaQvw/tg+tOUu47scX0VyEqJx6HYxlv24GGbqCpTV1OPAsZNYOmscfN3s4RnWD5ypuXluKz6a/x0u3TiJN0cNhr2dLUYtWA+pXI6NX7+DlaeyeQVXq6mzo730Qy7s24fw3kNg8Veh1AvBGgHOXC8VN7xE/3D1Tf+YmQfClyYTjQZq+o/DJyCIU9WHcD0DlrbmaNK6BaytHKjMaGWA02UBbW0dqcyIaCQnqa+n1xTA1NIeY4f0g62ZA4wNBbCgZcidw8mkQN8eNo4u0MiLacRejyVzp+LCPSO8O3EElixfjSbmCly/fBslFQoYmxpCQ8/T0Bt29eSGijWozi7S6fLLB/eqcYtugzH70xnwEeSjyNgdfYe+BiteHgjijv2COOtOWPTeSOippNQmarvxNVTvuDJ+QEn8UWyPNsKmnz6CvkyC4oJSODm6wcXG/GGPBVf2enr68A0M4/dfZsIa+/HDGA/g3hSysnOHk70r3SNQ8fIkgFtgc+jxbQPnBgmgUdFta1f+uf8I7lr1VO44R8DA2Az9x7+HJmIRrC1tkXLjOBZ/tQkuvlGY880qvDe0MxTVuTh9/J7u7H8elUJG9YKG1fT5LX1aoW+XprBzENO60xoJlYqTZgVSoo9j4nuT4epoj05jZ6GoTo2jqydj3vZbfD5JUSpOXr6Djm/PROdgR2RkZaJeyvXAPguC+sJ4TPxwAdq98QGGdAxHy+6jMGlEW3w160PEF3J6+tf4ebrChjouD2WT/tEXmyLA68n5g8ER3fDJnC+xYM4naB3qRPMYo1X3oVjy+TR0bNEEYs47+ht4MY6NgBNQrclRP6akktL7uHo+FkWVRjSPClKZDHoPhj8MrTB6+ixM6N+MGj0FNAIhFGXXMHr2Hgwc0hnfvzUEqVKtIhNSi6PnopGbmYyFE/th1bl0SOqqsGnzNpRV1MLM1pYqC6cA6of3oVKooGdoAN+2raF92cwIF/dvwd79B1EjVVDjbYDAqF7o0bU53IKb4VUajHqALP0sbhM3hAV5ayf2UsOQcuMEZs9ZhDu5tbRh4ZwdNepouQup4e3TLoIaAEu4BfgiKKw9gtyMUF0nhUouBdfjO7TfIBoxAEc3f4dVv52kkYWcSpQe3HwbY8Dg1rD8o77Ml5jqkjQs/mAKsqqUWDH/EwwfPAn7j11Fsy4DaDnNx1zqGH/83hu84th5hqJH707o1GMoZs+eg/nzF2BoR23jEdZuCNoFWCL55nEsnL8YNxMeDYsQRSn2HL+KwSN66VJeNgTo0KMb3MyMUV2j4IcClPqmiBrQD2ZKOY7/thqLl61DXrUc/foMgrO1OcqqaqnoKCDVmCG0WRv4OjihY6sI2Iq4dUQ0kErqYGhihZED+uDWkdUIDm6B1YeuoqS0FDlF5Wg25F20cDOHf5v+8DIjSI1N4x1jOZU3I59QeFBniZsTplAqUCfXwMPTB5FNfGFGf9urRSe0CQ2CNCEJ2TUyKKRc170Jgto2feo1/ZcHgrrqcty6cAAL1p7AuPdmYtpQbc9MRdolfPr1NlQk38Si2R9jyuQJ2Hs2H4raQqz/ZjHW7DiBemq2JOUpGDN+Dm3qyvDlZx9gzLTpWH7wLNxDwxHVMgzKqirevkpo2ZvbB6Jf10dLaryshPQagmAncyp3VbSEqC2SqtEssgWCgh1w7+QufD7vKyQW1MC2cSf0C3NEJZU7jUZFn1GKZu06wcPJib+Onp4ASoWcdwYeOOGZV3ajXcvmmPfzbhSXliEvOxfWvk0xaFBn2qZQ+0/9Bwl1ALj103q2iYCpmSU8/bTX+8dRy7H/++k0iO6Nk7czUFpciMIKJV4fMgp21tbIjz+PWZ/PxcW4AgS37IE5c+dh/sIv8PbALjCi9+3XvD+6NnOnsWcN9v66Cpv3XMS945vx/uS3sfiH/aj8g95zWVkqZi9ahqhhU/F6twhtqC/QR8tur+GdflRHv/sWqaVPTqDm5rjKFZyjxQUS2jT7iLaIpDooq6sAoe17bX0dHNz90aFzM20GHUIaBYlE3D8xv36cFgEMxGLeRf27EM7jujCeIyr6wPnJd7Dv6AVqBAXwbRwFX1t9VFYUYdfalTiXVIMu3TtBkXYFv528A28PN9jZW/ENicjEGiGN3CEUGiCoaQQy9q3Cjkw5xvXvidMHFkPqOgyRvhY0UtFHcJOm6Ni9C67+uh+N+wyhUVEKPpi+GNGJeQhu2wMt/ahS5MbhwNHzqJar4dUoHE39nGFu8uBdfgFSb57F7kPnILLjFgIjSIm9iph8NWbN/hz25r/rk38FuHxsD+oMvdCrczuYGQqh4RqpX77EVxuOwNi7CcYM6Iyy/CSklQng6WKF86fPoFHncfhwVGtYOzjCjBqaUtqYKctyUKx0wZyPxsHWVB9bl8/Ej+v2oFrkhCBnMWqFtmgbGQW73y8Y9rKjUWD3T7Px7d5oFGck4l7MPeRJ9NBj8CB0bRmB8IhIREVFIczPBr9tPYymbQZj5nvD4ermjdatWyGSGmDjyjRcvp+DfmPmYXh7WxzdsgxfrdoLl8BItGrqy/9Mxf2TWHvLBPMn9XlpG14n/yZQ1yajTG0FQV4ckgWu+OrLj2BYlo7VXy/AppP30bZTBwSHt4azphQpxUpYCYqRVaiHGVQ/nC1pINDYHyUp6dC3sUfm3evUQemGBVMGoLI4G0eOHsPpsxeQV5CH1BIBZs36AO62ZjA2d0QjJyHuxiXCxNQEGZnZGDJ2Gnq2agJ/dyfExF+F0sQPorpsRKdU4s3xU9GmiSdCG/sg6/5lVIg8IM2NQZ1NCL74bAasn7XwzgtHg7yU+9i3cwvWbzuOodOXYP6UobxhV0qrsfzrRThw4hrS0lMRFxeP7KIKjJo5D+Zld6nOfY7YSlN06RiFYytmY9eZaCQnJfL5isol6DNgDJoHesHPwxpZOTmwtTTFjRtX0HnCXAyO8NT+/EuMnpEDgjzEuJGYAydLPcTm1+CNSR8hzMUc6xbPx+od++DQsj/aNvZGgLcDkqkDbGkuRHJ6Fd4aNx6RQS5Qy6qRnpqEw/t2o1xhCK+Axght5AYircStK+exa+cBZBWVIDb6PgZ9thhdG9FA18oGkJcgPrca7l6euHHhFCxCB2HulH4Q/34y4j8BDTJLMuNw7OQJnD59CQXZiZA5tMCk8W/A2UKMY2uWYMnaPVDZ+eP1Ab209qZFBJz0anHp5h007zcD04a3QGr0SXz46RfIL6ug9isG8QkpCO41DL07hIOa/KdIT4yDS0g79OwQyQepjxDAwy8I9jam1GmUwdVRux5NXUUJEmk7uOfQJYit7BDYpAW8HMypY2KOYH873ElOh4ezNa7euIaO78zBkIi/Z2jpv+X5L9BXmIUL129DLhBCJBRCLq2DTKHtXuR6ZzwCw+BjqY/bMbGop9GZmhrWfq9141/Je0BdbT0MjIxxbvl0zLgkx/lf5tBoJwShky/h46G6NwUo2bcPY/neHMyb9y5QmY1rdxJw89iv2B9bj+nvz4SzuAxlNCLgVi+W0yjPzD0Q3aMeLKqmQnW1CmbGVGnuXcPd5BxYOPqie+eolzgK/HMy7t+E2sQR3p7UOdSlSaoKceteOppEtIK1Mec+ynDzwkWk5JbBL6wNNRSPC6Ya8TcvIqFQiZ49ujxcfI+o6vnF1LKpYXX1DUZUs4C/nKz2UqKoxvGj56CgcsnpODfcpm9mjfBmTeFg9aiLWykpw+kTV2Hu7IOWUY2f6PYsTI3D3dQceDSKRGMfW1SX5OF+ah78Q8OoE6jtwSpLp42VwgThtAF62Yk+fxQ5tfro1bcbtG4qQXbqfRTV6SG0SdDDV6rvXzuBhBINOnXvCZvHh/Q1NTh7/AykRm7o3bH5g0QUpN/HzXspMHfyRpuWzZ56a6Mg/R4uRicjtGUHBHo8moekqC7A8VMXIdM3R8t2HZ9cuE1RiZPHz0Ju6oRenVq9xDKowo1T9D6pE9cu8slFHGtLcnHrbiyqZWp+1W7OPIsNDBHVqRssUY/7cXEQWLpS50+Ec5duo06q1OXTQGxsgSbhreBipS3NupJ0nD5/Cy5N2yHC/zn1PPxN5CVew5X4UkR17AIPW631ryxMwz3qwERGNIORbjnikqxYnL2RjggqCz5O2nmD0tIUHDp7m1+NWSzU8L0+XoFNERXig8q8VETHUqdBaIZ2HTqC+t+PoUbCrau4k5gNt6AWaB/ur0t/XmiQEnMV8ellcPELRmSINhDiUNaX4vK1eDSh+mD72OvXFXnpuE2DAEu3UIQFOCHlzmUkFVQ/7A3hXsAJimgDPzeHv2V4Jjv2Gq7ez4YxDTq4qQkKIkLTiCj46RbVqytOxYnzd+AZ1h7hfo582ovguTs2fye5Vzehy6zzuLxrHib17o7Rq89AmXAGlgHtEGxWjKXL1iO48wAE+frCXp2Jy/kiDGrdBIf27IZ5i/7oEfJqKTuDwWAwGIw/57kPRf2dWLh6waSmBBmFuXAL6Y8+kc44cWg/avVMIcm4huiMClQU5EFj4QkPoxL8vHIH6qmn3iSsDUKC3WDwHHoYGQwGg8FgPD9e6R4bHkU1EtIL4RkYAGOiRE1NLf9mhLROghqJDNz7HFZOnrAzFyMvJQV10IeLuxfMuG/ZMBgMBoPBaFC8+o4Ng8FgMBgMhg7WbcFgMBgMBqPBwBwbBoPBYDAYDQbm2DAYDAaDwWgwMMeGwWAwGAxGg4E5NgwGg8FgMBoMzLFhMBgMBoPRYPjT172rq6tx5Mhx6Gu/gc9gMBgMBoPxQtFoNBg4sB8MDJ74JsZD/tSxkcnkSEtLg54e69hhMBgMBoPx4uHclkaN/P+w04Ut0MdgMBgMBqPBwLpiGAwGg8FgNBiYY8NgMBgMBqPBwBwbBoPBYDAYDQTg/wDBec3Z6Q4S9QAAAABJRU5ErkJggg==\" width=\"566\" height=\"129\"\u003e\u003c/p\u003e\u003cp\u003eThe Li-ion diffusion coefficient (\u003cem\u003eD\u003c/em\u003e\u003csub\u003eLi⁺\u003c/sub\u003e) was calculated from the low-frequency plots according to the equation: \u003cem\u003eD\u003c/em\u003e\u003csub\u003eLi⁺\u003c/sub\u003e = 0.5*[(R\u003cem\u003eT\u003c/em\u003e)/(A\u003cem\u003en\u003c/em\u003e\u003csup\u003e2\u003c/sup\u003e\u003cem\u003eF\u003c/em\u003e\u003csup\u003e2\u003c/sup\u003e\u003cem\u003eCσ\u003c/em\u003e)]\u003csup\u003e2\u003c/sup\u003e [\u003cspan citationid=\"CR16\" class=\"CitationRef\"\u003e16\u003c/span\u003e, \u003cspan citationid=\"CR17\" class=\"CitationRef\"\u003e17\u003c/span\u003e]. Based on the discharge capacity after 100 cycles, the values of the active lithium-ion concentration (C) in LFS and LN\u003csub\u003e0.25\u003c/sub\u003eFS were determined as 0.0143 \u003cem\u003emol/cm\u003c/em\u003e\u003csup\u003e\u0026minus;\u0026thinsp;3\u003c/sup\u003e and 0.138 \u003cem\u003emol/cm\u003c/em\u003e\u003csup\u003e\u0026minus;\u0026thinsp;3\u003c/sup\u003e, respectively. The Warburg coefficients (\u003cem\u003eσ\u003c/em\u003e) derived from the slopes of \u003cem\u003eω\u003c/em\u003e\u003csup\u003e\u0026minus;0.5\u003c/sup\u003e-\u003cem\u003eZ\u003c/em\u003e\u0026prime; curves were recorded as 206.10 and 92.20 \u003cem\u003eΩ\u0026middot;s\u003c/em\u003e\u003csup\u003e\u0026minus;\u0026thinsp;0.5\u003c/sup\u003e, respectively (Fig.\u0026nbsp;\u003cspan refid=\"Fig7\" class=\"InternalRef\"\u003e7\u003c/span\u003eb). By substituting these parameters into the above equation, the \u003cem\u003eD\u003c/em\u003e\u003csub\u003eLi⁺\u003c/sub\u003e values of LFS and LN\u003csub\u003e0.25\u003c/sub\u003eFS were calculated as 6.37\u0026times;10\u003csup\u003e\u0026minus;\u0026thinsp;17\u003c/sup\u003e \u003cem\u003ecm\u0026sup2;\u0026middot;s\u003c/em\u003e⁻\u0026sup1; and 3.42\u0026times;10\u003csup\u003e\u0026minus;\u0026thinsp;16\u003c/sup\u003e \u003cem\u003ecm\u0026sup2;\u0026middot;s\u003c/em\u003e⁻\u0026sup1;, respectively. The increased \u003cem\u003eD\u003c/em\u003e\u003csub\u003eLi⁺\u003c/sub\u003e of LN\u003csub\u003e0.25\u003c/sub\u003eFS can be attributed to its expanded lattice channels from sodium substitution, suitable for enhancing ion transport and improving charge/discharge efficiency. Nevertheless, the terrible \u003cem\u003eR\u003c/em\u003e\u003csub\u003ect\u003c/sub\u003e would suggest grain refinement and electrode/electrolyte interfacial stabilization, which will be the focus of future investigations.\u003c/p\u003e"},{"header":"4. Conclusion","content":"\u003cp\u003eIn summary, an oscillating ball milling-assisted solid-state method was successfully used to systematically synthesize various Li/Na stoichiometric ratios of Li\u003csub\u003e2\u0026thinsp;\u0026minus;\u0026thinsp;\u003cem\u003ex\u003c/em\u003e\u003c/sub\u003eNa\u003csub\u003e\u003cem\u003ex\u003c/em\u003e\u003c/sub\u003eFeSiO\u003csub\u003e4\u003c/sub\u003e. The significant structural disparities between LFS and NFS phases resulted in coexisting dual-phase at \u003cem\u003ex\u003c/em\u003e\u0026thinsp;=\u0026thinsp;0.5 and 1.0. Unfortunately, the simultaneous formation of byproducts, such as Li₅FeO₄ and Na₆Si₂O₇, severely impaired the electrochemical performances. The reduction in Na content to 0.25 yielded a single-phase LFS-like structure with expanded lattice and enlarged grain sizes. Furthermore, the LN\u003csub\u003e0.25\u003c/sub\u003eFS cathodes demonstrated superior performance and comparable capacity retention to LFS counterparts despite their higher interfacial impedance. The differential capacity curves provided evidence of Na⁺ insertion, confirming its participation in redox reactions and its involvement in accelerated interfacial degradation. Overall, the control over Na⁺ doping would enhance ion transport, but interfacial engineering would be required to mitigate kinetic bottlenecks. Future research will focus on templated morphological engineering and enhancing interfacial compatibility to address these limitations.\u003c/p\u003e"},{"header":"Declarations","content":"\u003ch2\u003eAuthor Contribution\u003c/h2\u003e\u003cp\u003eS.D. Li developed the entire experimental plan and was responsible for the phase analysis of XRD data. K.Gao conducted the experiments and wrote the main manuscript text. All authors reviewed, translated, and polished the manuscript.\u003c/p\u003e\u003ch2\u003eAcknowledgments\u003c/h2\u003e \u003cp\u003eThis work was financially supported by National Natural Science Foundation of China (NSFC) (\u003cem\u003egrant no.\u003c/em\u003e22378089) and Natural Science Foundation of Heilongjiang Province (\u003cem\u003egrant no.\u003c/em\u003eLH2023B007).\u003c/p\u003e"},{"header":"References","content":"\u003col\u003e\n \u003cli\u003eBi XL, Chang LJ, Luo SH, Cao SY, Wei AL, Yang W, Liu JN, Zhang FS (2022) The recent progress of Li\u003csub\u003e2\u003c/sub\u003eFeSiO\u003csub\u003e4\u003c/sub\u003e as a poly-anionic cathode material for lithium-ion batteries. \u003cem\u003eInt J Energy Res\u0026nbsp;\u003c/em\u003e46(5): 5373-5398\u0026nbsp;\u003c/li\u003e\n \u003cli\u003eZhang WJ, Shao WW, Zhao BB, Dai K H (2022) Research progress of Li\u003csub\u003e2\u003c/sub\u003eFeSiO\u003csub\u003e4\u003c/sub\u003e cathode materials for lithium-ion batteries. \u003cem\u003eJ Electrochem Soc\u003c/em\u003e 169(7): 526-532\u003c/li\u003e\n \u003cli\u003eDing ZP, Liu JT, Ji R, Zeng XH, Yang SL, Pan AQ, Ivey DG, Wei WF (2016) Three-dimensionally ordered macroporous Li\u003csub\u003e2\u003c/sub\u003eFeSiO\u003csub\u003e4\u003c/sub\u003e/C composite as a high performance cathode for advanced lithium ion batteries. \u003cem\u003eJ Power Sources\u003c/em\u003e 329: 297-304\u003c/li\u003e\n \u003cli\u003eLi HF, Li YS, Cheng X, Gong CY (2022) Hollow hemispherical lithium iron silicate synthesized by an ascorbic acid-assisted hydrothermal method as a cathode material for Li-ion batteries. \u003cem\u003eMaterials\u003c/em\u003e 15(10): 3545-3554\u003c/li\u003e\n \u003cli\u003eYang J, Kang X, He D, Zheng A, Pan M, Mu S (2015) Graphene activated 3D hierarchical flower like Li\u003csub\u003e2\u003c/sub\u003eFeSiO\u003csub\u003e4\u003c/sub\u003e for high performance lithium ion batteries. \u003cem\u003eJ Mater Chem A.\u003c/em\u003e 3: 16567-16573\u003c/li\u003e\n \u003cli\u003eLi SD, Guo JH, Ye Z, Zhao X, Wu SQ, Mi JX, Wang CZ, Gong ZL, McDonald MJ, Zhu ZZ, Ho KM, Yang Y (2016) Zero-Strain Na\u003csub\u003e2\u003c/sub\u003eFeSiO\u003csub\u003e4\u003c/sub\u003e as novel cathode material for sodium-ion batteries. \u003cem\u003eACS Applied Materials \u0026amp; 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Phys.: Condens. Matter\u0026nbsp;\u003c/em\u003e35: 343001-343041\u003c/li\u003e\n \u003cli\u003eGao K (2014) Effect of Mn doping on electrochemical properties of Li\u003csub\u003e2\u003c/sub\u003eFeSiO\u003csub\u003e4\u003c/sub\u003e/C cathode materials based on a vacuum solid-state method. \u003cem\u003eIonics.\u0026nbsp;\u003c/em\u003e20: 809-815\u003c/li\u003e\n \u003cli\u003eYang JL, Kang XC, Hu L, Gong X, He DP, Peng T, Mu SC (2013) Synthesis and electrochemical performance of Li\u003csub\u003e2\u003c/sub\u003eFeSiO\u003csub\u003e4\u003c/sub\u003e/C/carbon nanosphere composite cathode materials for lithium ion batteries. \u003cem\u003eJ Alloys Compd.\u003c/em\u003e 572: 158-162\u003c/li\u003e\n\u003c/ol\u003e"}],"fulltextSource":"","fullText":"","funders":[],"hasAdminPriorityOnWorkflow":false,"hasManuscriptDocX":true,"hasOptedInToPreprint":true,"hasPassedJournalQc":"","hasAnyPriority":false,"hideJournal":false,"highlight":"","institution":"","isAcceptedByJournal":true,"isAuthorSuppliedPdf":false,"isDeskRejected":"","isHiddenFromSearch":false,"isInQc":false,"isInWorkflow":false,"isPdf":false,"isPdfUpToDate":true,"isWithdrawnOrRetracted":false,"journal":{"display":true,"email":"[email protected]","identity":"ionics","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":false,"externalIdentity":"","sideBox":" Learn more about [Ionics](https://www.springer.com/journal/11581) ","snPcode":"11581","submissionUrl":"https://mc.manuscriptcentral.com/ionics","title":"Ionics","twitterHandle":"","acdcEnabled":true,"dfaEnabled":true,"editorialSystem":"stoa","reportingPortfolio":"Springer Hybrid","inReviewEnabled":true,"inReviewRevisionsEnabled":false},"keywords":"silicate, solid state reaction, cathode, lithium-ion battery","lastPublishedDoi":"10.21203/rs.3.rs-6810417/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-6810417/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"\u003cp\u003eDesigning hybrid battery systems based on Li/Na co-existing silicate framework with synergized lithium's high energy density with sodium's economic advantages is still challenging. Herein, a series of Li\u003csub\u003e2\u0026thinsp;\u0026minus;\u0026thinsp;\u003cem\u003ex\u003c/em\u003e\u003c/sub\u003eNa\u003csub\u003e\u003cem\u003ex\u003c/em\u003e\u003c/sub\u003eFeSiO\u003csub\u003e4\u003c/sub\u003e (where \u003cem\u003ex\u003c/em\u003e\u0026thinsp;=\u0026thinsp;0, 0.25, 0.5, and 1.0) cathode materials were constructed through vibratory ball milling-assisted solid-state synthesis. The optimized sample at the composition \u003cem\u003ex\u003c/em\u003e\u0026thinsp;=\u0026thinsp;0.25 showed a single-phase monoclinic P2₁-Li₂FeSiO₄ phase, with exceptional electrochemical performances. By contrast, higher sodium contents (\u003cem\u003ex\u003c/em\u003e\u0026thinsp;\u0026ge;\u0026thinsp;0.5) resulted in dual-phase mixtures of Na₂FeSiO₄ and Li₂FeSiO₄, along with some undesirable impurities of Li₅FeO₄ and Na₆Si₂O₇. The electrochemical characterization revealed that the introduction of sodium ions in the de-intercalation reaction increased the interfacial charge-transfer resistance (\u003cem\u003eR\u003c/em\u003e\u003csub\u003ect\u003c/sub\u003e) due to the Na⁺ barrier, but also significantly improved the Li\u003csup\u003e+\u003c/sup\u003e diffusion coefficient (\u003cem\u003eD\u003c/em\u003e\u003csub\u003eLi⁺\u003c/sub\u003e), suitable for enhancing ionic utilization efficiency for an optimized specific capacity. Overall, strategically incorporating sodium at lithium sites can effectively increase the storage capacity while reducing dependence on lithium resources for economical energy storage devices.\u003c/p\u003e","manuscriptTitle":"Synthesis and performance of lithium/sodium iron-based silicate cathode prepared by a facile vibratory ball milling-assisted solid-phase method","msid":"","msnumber":"","nonDraftVersions":[{"code":1,"date":"2025-06-27 09:19:47","doi":"10.21203/rs.3.rs-6810417/v1","editorialEvents":[{"type":"communityComments","content":0},{"type":"decision","content":"Revision requested","date":"2025-08-08T01:00:05+00:00","index":"","fulltext":""},{"type":"editorInvitedReview","content":"","date":"2025-08-02T05:44:07+00:00","index":"hide","fulltext":""},{"type":"reviewerAgreed","content":"3166304099874471576514591689034352411","date":"2025-07-23T09:27:22+00:00","index":"hide","fulltext":""},{"type":"editorInvitedReview","content":"","date":"2025-07-07T03:07:21+00:00","index":"hide","fulltext":""},{"type":"reviewerAgreed","content":"188820745771111469197667203546486227203","date":"2025-06-25T01:56:25+00:00","index":"hide","fulltext":""},{"type":"reviewersInvited","content":"","date":"2025-06-24T15:51:42+00:00","index":"","fulltext":""},{"type":"editorAssigned","content":"","date":"2025-06-05T22:37:55+00:00","index":"","fulltext":""},{"type":"checksComplete","content":"","date":"2025-06-05T22:36:59+00:00","index":"","fulltext":""},{"type":"submitted","content":"Ionics","date":"2025-06-03T10:41:55+00:00","index":"","fulltext":""}],"status":"published","journal":{"display":true,"email":"[email protected]","identity":"ionics","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":false,"externalIdentity":"","sideBox":" Learn more about [Ionics](https://www.springer.com/journal/11581) ","snPcode":"11581","submissionUrl":"https://mc.manuscriptcentral.com/ionics","title":"Ionics","twitterHandle":"","acdcEnabled":true,"dfaEnabled":true,"editorialSystem":"stoa","reportingPortfolio":"Springer Hybrid","inReviewEnabled":true,"inReviewRevisionsEnabled":false}}],"origin":"","ownerIdentity":"e6a457cc-2224-446d-97bd-469e3a1804d0","owner":[],"postedDate":"June 27th, 2025","published":true,"recentEditorialEvents":[],"rejectedJournal":[],"revision":"","amendment":"","status":"under-review","subjectAreas":[],"tags":[],"updatedAt":"2025-09-14T10:38:06+00:00","versionOfRecord":[],"versionCreatedAt":"2025-06-27 09:19:47","video":"","vorDoi":"","vorDoiUrl":"","workflowStages":[]},"version":"v1","identity":"rs-6810417","journalConfig":"researchsquare"},"__N_SSP":true},"page":"/article/[identity]/[[...version]]","query":{"redirect":"/article/rs-6810417","identity":"rs-6810417","version":["v1"]},"buildId":"XKTyCvWXoU3ODBz1xrDgd","isFallback":false,"isExperimentalCompile":false,"dynamicIds":[84888],"gssp":true,"scriptLoader":[]}