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Page 4 of 17                                                        Zhang et al. Soft Sci. 2026, 6, 16
























               Figure 1. Schematic diagram of the fabrication process of anodized SS flexible electrodes coated with ECR carbon film. SS: Stainless steel;
               ECR: electron cyclotron resonance; EG: ethylene glycol; DC: direct current.




               The gel electrolyte was used to assemble the all-solid-state flexible supercapacitor. A total of 2.1324 g of AM
               and 0.0040 g of MBA were uniformly dispersed in 10 mL of DI water, followed by the addition of 0.0400 g of
               KPS with continuous stirring. The mixture was shaped in a mold and then placed in an oven (Kaile
               DZF6020, China) at 60 °C for 6 h to obtain the PAM gel. The as-fabricated gel was subsequently immersed in
               1 M Na SO  for 24 h to produce the PAM/Na SO  gel electrolyte.
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                     2
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               Physicochemical characterization
               A scanning electron microscope (SEM, Zeiss GeminiSEM 300, Germany), a transmission electron
               microscope (TEM, Thermo Fisher Talos F200S G2, USA), and an energy dispersive X-ray spectrometer
               (EDS, Zeiss GeminiSEM 300, Germany) were used to observe the surface morphology and element
               distribution of the carbon film-coated nanoporous structure. X-ray diffraction (XRD, PANalytical
               Empyrean, Netherlands) was employed to determine the crystal phases of the anodized SS sample under
               Cu-Kα irradiation over a scan range of 20°-70°. The elemental compositions were analyzed using X-ray
               photoelectron spectroscopy (XPS, Thermo Fisher K-Alpha, USA).

               To avoid the influence of the SS substrate, a series of carbon films on silica wafer samples were deposited,
               and their thicknesses were measured by a stylus profiler (Bruker DektakXT, USA), followed by the resistivity
               obtained via a four-probe method (4Probes Tech RTS-8, China). The Raman spectra (Horiba LabRAM HR
               Evolution, Japan) were analyzed under a 532 nm wavelength laser ranging from 1,000 to 3,500 cm .
                                                                                                 -1
               Electrochemical measurements
               The electrochemical characterizations, including cyclic voltammetry (CV), galvanostatic charge-discharge
               (GCD), electrochemical impedance spectroscopy (EIS), and cycling test, were performed on an
               electrochemical workstation (Zahner IM6, Germany). The intrinsic capacitance of the electrode was studied
               using a three-electrode system, where the as-fabricated electrodes served as the working electrode, a
               platinum mesh as the counter electrode, a standard Ag/AgCl electrode as the reference electrode and 1 M
               Na SO  as the electrolyte. The electrochemical performance of the flexible supercapacitor was evaluated in a
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                    4
               two-electrode system mentioned above. The specific capacitance (C), energy density (E), and power density
               (P) were calculated using :
                                    [19]
                                                                ×   
                                                          =                                             (1)
                                                           Δ   ×   
                                                        1000          2
                                                     =        ×    × Δ                                  (2)
                                                      2 × 3600
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