Manganese-doped poly(1,5-diaminonaphthalene) based high-performance supercapacitors

Mengying XU Wen LI Junzhong MEI Cheng ZHANG Kannan Palanisamy Lei LU Lianpeng ZHANG Peng WANG

Citation:  Mengying XU, Wen LI, Junzhong MEI, Cheng ZHANG, Kannan Palanisamy, Lei LU, Lianpeng ZHANG, Peng WANG. Manganese-doped poly(1,5-diaminonaphthalene) based high-performance supercapacitors[J]. Chinese Journal of Inorganic Chemistry, 2026, 42(2): 387-397. doi: 10.11862/CJIC.20250211 shu

基于锰掺杂聚(1,5-二氨基萘)的高性能超级电容器

    通讯作者: PalanisamyKannan, ktpkannan@zjxu.edu.cn
    张莲鹏, lpz@zju.edu.cn
    王鹏, pengwang@zjxu.edu.cn
  • 基金项目:

    国家自然科学基金 22161043

    国家自然科学基金 22201105

    云南省基础研究计划项目 202301BD070001-239

    云南省基础研究计划项目 202201AU070071

    云南省基础研究计划项目 202301AT070224

    嘉兴市青年科技人才专项 2023AY40020

摘要: 通过化学氧化聚合法制备了锰(Mn)掺杂的聚(1,5-二氨基萘)(PN)电极材料(Mn@PN)。Mn@PN独特的囊泡结构可实现快速的离子传输,同时在连续充放电循环中保持电极结构的稳定。三电极系统测试结果显示,Mn@PN具有优异的倍率性能:在3 A·g-1的低电流密度下具有10 318 F·g-1的超高比电容,并且在50 A·g-1的超高电流密度下仍能保持9 415 F·g-1的比电容(与3 A·g-1相比,容量保持率为91.2%)。此外,Mn@PN在30 A·g-1的电流密度下可实现9 000次的稳定循环,容量保持率为97.4%,平均衰减率为每圈0.003‰,显著优于聚苯胺(PANI)等传统导电聚合物。以Mn@PN为正极组装的非对称超级电容器(Mn@PN||AC)在15 A·g-1的电流密度下能量密度可达328 Wh·kg-1,在20 A·g-1的电流密度下4 000次深度充放电循环后,仍具有80.7%的初始比容量。

English

  • Driven by carbon neutrality strategies, the development of electrochemical energy storage devices that simultaneously exhibit high energy density and exceptional cyclic stability has emerged as a crucial pathway for addressing the global energy crisis[1]. Supercapacitors have demonstrated unique application potential in smart grid peak regulation and rail transit braking energy recovery, exhibiting ultra-high power densities of 104-105 W·kg-1 and cyclic lives exceeding 105 cycles[2-4]. Current research indicates that incorporating materials with redox centers into supercapacitors to create pseudocapacitors can effectively enhance energy density[5]. This strategy has paved new avenues for the development of high-performance energy storage systems.

    Conductive polymers exhibit unique mechanical properties and abundant redox sites, rendering them ideal materials for pseudocapacitors due to their reversible p-/n-type doping mechanisms and flexible structural characteristics[6-7]. Although traditional conductive polymers such as polyaniline (PANI) have a theoretical capacitance of 1 325 F·g-1, the breakage of polymer chain structures and volume deformation during cycling severely impair electron transmission, resulting in an actual capacitance of less than 50% after 1 000 cycles[8-9]. In contrast, 1, 5-diaminonaphthalene (1, 5-DAN) forms conjugated ladder polymers through oxidative polymerization. This conjugated ladder structure imparts exceptional mechanical strength to the electrode material and effectively inhibits structural relaxation during the charge/discharge process[10-13]. The theoretical specific capacitance of these materials reaches 1 545 F·g-1 with improved mechanical stability[14]. Acerce et al.[15] demonstrated that a poly(1, 5-diaminonaphthalene) (PN) electrode grafted onto a three-dimensional carbon nanotube (CNT-a-CC) electrode retained 94% of its specific capacitance after 25 000 cycles at 100 mV·s-1, significantly outperforming PANI in terms of cyclic stability.

    Transition metals are frequently utilized as dopants owing to their distinctive electronic structures and ability to donate or accept electrons, thereby providing an effective strategy for optimizing the performance of conductive polymers[16-23]. Dhibar et al.[24] synthesized Mn-PANI/SW-CNT nanocomposites via in-situ polymerization. The coordination between Mn2+ ions and the lone pair electrons on nitrogen atoms in PANI enhanced the specific capacitance, elevating the conductivity of PANI from 0.41 to 9.65 S·cm-1 and achieving a remarkable capacitance retention rate of 88.13% after 1 000 cycles. Consequently, the novel conductive polymer doped with the transition metal Mn may overcome the limitations of poor stability and low conductivity associated with traditional conductive polymers, thus providing a pathway for exceptional cyclic stability and theoretical capacitance[25-26].

    Herein, the Mn-doped PN (Mn@PN) electrode materials were prepared. The PN substrate exhibited exceptional mechanical strength, and its unique vesicle structure facilitates rapid ion transport. Furthermore, Mn doping enhances the conductivity of Mn@PN. Experimental results indicated that the synthesized material achieved an excellent specific capacitance of 10 318 F·g-1 at 3 A·g-1 and retained a specific capacitance of 9 415 F·g-1 at a high current density of 50 A·g-1. After 9 000 charge/discharge cycles at 30 A·g-1, the specific capacitance retention rate reached 97.4%, with a 15% reduction in the decay rate compared to the undoped system. Notably, the assembled asymmetric supercapacitor (Mn@PN||AC, AC=activated carbon) demonstrated a maximum energy density of 328 Wh·kg-1 and a maximum power density of 44 kW·kg-1. These comprehensive findings confirm the potential of this metal-polymer synergistic strategy for high-energy-density supercapacitors.

    This study utilized analytical-grade compounds that required no further purification. 1, 5-DAN (99.99%), hydrogen peroxide (H2O2) (≥30%), manganese(Ⅱ) chloride tetrahydrate (MnCl2·4H2O) (≥99.0%), ethanol (≥99.7%), and potassium hydroxide (KOH) (≥90.0%) were purchased from Adamas-beta. All experiments were conducted using deionized water (DI water).

    1.58 g (0.01 mol) 1, 5-DAN was dissolved in 50 mL 1 mol·L-1 HCl within a beaker. Then, 0.099 g (0.5 mmol) MnCl2·4H2O was added to the solution, followed by stirring at 25 ℃ for 4 h. After the addition of 2.5 mL H2O2, the reaction proceeded under vigorous stirring for an additional 24 h. 1 mol·L-1 NaOH solution was added dropwise to the above solution to adjust the pH of the system to about 7. The solution was filtered, and the obtained polymer was washed three times with deionized water and then with ethanol. It was subsequently vacuum-dried at 50 ℃ for 12 h. The final product was labeled as Mn@PN. For comparison, the pure PN sample was prepared under the same conditions without the addition of MnCl2·4H2O.

    The morphology and microstructure of the samples were characterized using field-emission scanning electron microscopy (SEM, Hitachi S-4200) and transmission electron microscopy (TEM, Tecnai G2 20) with carbon-coated grids. Single atoms were detected by high-angle annular dark-field scanning transmission electron microscopy (HAADF-STEM, JEOL ARM200F). The vibrational states of functional groups were measured using Fourier-transform infrared spectroscopy (FTIR, NICOLET 6700 FITR). X-ray diffraction (XRD) measurements were carried out using a Rigaku CCD X-ray diffractometer with Ni-filtered Cu radiation (λ=0.154 06 nm) at 40 kV and 40 mA in the 2θ range of 5° to 60°. Thermogravimetric analysis (TGA) was conducted on a PerkinElmer TGA7 with a heating rate of 10 ℃·min-1 in air. The copper content was determined by inductively coupled plasma-optical emission spectrometry (ICP-OES, iCAP PRO X). The surface elements and electronic states were analyzed using X-ray photoelectron spectroscopy (XPS, PHI 5000C & PHI 5300). Nitrogen adsorption-desorption isotherms were measured using a specific surface area and pore size analyzer (Micromeritics ASAP 2020).

    The Mn@PN electrode materials were evaluated for electrochemical performance in a 3 mol·L-1 KOH electrolyte using both three-electrode and two-electrode systems. In the three-electrode system, the Mn@PN electrode served as the working electrode, AC as the counter electrode, and Hg/HgO as the reference electrode. The two-electrode system employed the Mn@PN electrode as the anode and AC as the cathode. To fabricate the working electrode, a homogeneous mixture containing Mn@PN, acetylene black, and polytetrafluoroethylene with the mass ratio of 60∶30∶10 was prepared in isopropanol, followed by drying. The resulting viscous composite was pressed into thin sheets, sectioned into smaller units, and subsequently adhered to nickel foam current collectors under pressure. The active material mass loading was maintained at approximately 2.0 mg·cm-2. Electrochemical characterizations were conducted using a CHI 660D electrochemical workstation (Shanghai, China). Cyclic voltammetry (CV) measurements were performed with potential windows of 0-0.7 V (three-electrode) and 0-2.2 V (two-electrode), while electrochemical impedance spectroscopy (EIS) covered a frequency range of 10 mHz to 100 kHz. Additionally, galvanostatic charge/discharge (GCD) tests with potential windows of 0-0.45 V (three-electrode) and 0-1.0 V (two-electrode) were executed on a LAND CT2001A battery testing system under constant current conditions.

    The specific capacitance (Cs) of the electrode was measured using the galvanostatic discharge method, and the calculation formula is as follows:

    $ {C}_\mathrm{s}=\frac{I\Delta t}{m\Delta V} $

    (1)

    where I (A) is the constant discharge current, Δt (s) is the discharge time, ΔV (V) is the potential window, and m (g) is the weight of the active material in the electrode.

    The calculation formulas for energy density (E) and power density (P) are as follows:

    $ E=\frac{{C}_\mathrm{s}{\left(\Delta V\right)}^{2}}{7.2} $

    (2)

    $ P=\frac{3600 E}{\Delta t} $

    (3)

    Mn@PN were successfully synthesized through the copolymerization of MnCl2 and 1, 5-DAN under H2O2-induced chemical oxidative polymerization. SEM revealed an irregular structure for Mn@PN (Fig.S1, Supporting information), while the TEM image showed a unique vesicular structure (Fig.1a). This vesicular morphology may result from Mn doping enhancing the π-plane stacking interaction during polymerization[27]. Such internal vesicle structures can facilitate the interface between the electrode material and the electrolyte, thereby accelerating ion transport and stabilizing the physical properties of the electrode material. Energy dispersive X-ray spectroscopy (EDS) mappings demonstrated uniform distributions of C, N, and Mn elements within the material (Fig.1b). Notably, no Mn metal nanoparticles or metallic phases were observed in TEM images (Fig.S2a), suggesting that Mn may exist in an atomically dispersed state[28-29]. Further HAADF-STEM images revealed bright, isolated spots distributed throughout the PN matrix, which can be attributed to a single Mn atom dispersed within the PN matrix (Fig.S2b, indicated by red circles). ICP-OES determined the Mn content (mass fraction) to be approximately 0.21%, consistent with the EDS-mapping results (Fig.S3). Despite the low absolute content of Mn, Mn@PN still exhibited excellent electrochemical stability and significantly enhanced electronic conductivity (as detailed subsequently).

    Figure 1

    Figure 1.  (a) TEM image and (b) HAADF-STEM image and corresponding elemental mappings of Mn@PN; (c) FTIR spectra and (d) XRD patterns of 1, 5-DAN, PN, and Mn@PN

    The chemical structures of 1, 5-DAN, PN, and Mn@PN were systematically characterized using FTIR (Fig.1c). Compared to the monomer 1, 5-DAN, the vibration bands of the polymers exhibited significant shifts. PN displayed a broad peak in the range of 3 100-3 600 cm-1, corresponding to N—H bond stretching vibration. The peak at 1 598 cm-1 is attributed to the C=N bond stretching vibration, while the peak at 1 298 cm-1 correspond to the C—N bond stretching vibration. The peaks at 1 074 and 776 cm-1 represent the out-of-plane and in-plane bending vibrations of the C—H bond, respectively. Notably, Mn@PN exhibited red-shifted characteristic peaks at 1 585, 1 290, 1 064, and 768 cm-1, likely due to Mn—N coordination[30-31].

    XRD analysis was conducted to examine the crystal structure of the material (Fig.1d). The 1, 5-DAN monomer exhibited distinct characteristic peaks in the range of 8° to 36°, indicative of its crystalline nature. In contrast, both PN and Mn@PN displayed amorphous structures with a main broad peak between 22° and 26°, indicating a high degree of polymerization and successful synthesis of Mn-doped polynaphthalene. To further investigate the elemental chemical states, XPS was employed (Fig.S5). In the C1s spectrum (Fig.S5b), peaks at 284.80 and 286.68 eV correspond to the C—C and C—N bonds in the polymer structure, respectively. The N1s spectrum (Fig.S5c) revealed peaks at 399.28 and 401.08 eV, attributed to the C—N and —NH— bond, respectively. The Mn2p spectrum (Fig.S5d) exhibited spin-orbit splitting peaks for Mn2p3/2 and Mn2p1/2 located at 641.58 and 653.18 eV, respectively, indicating that Mn mainly exists in the +2 valence state[32]. TGA (Fig.S6) demonstrated that 1, 5-DAN decomposed rapidly at 200 ℃, losing 96% of its weight at 400 ℃. However, Mn@PN retained 74% of its weight at 800 ℃, indicating significantly enhanced thermal stability.

    The electrochemical performance of the material was evaluated using a three-electrode system in 3 mol·L-1 KOH electrolyte, with the Mn@PN electrode as the working electrode, AC as the counter electrode, and Hg/HgO as the reference electrode. As illustrated in Fig.2a, Mn@PN displayed a typical reversible redox peak within the scan rate range of 1-30 mV·s-1, consistent with the electrochemical energy storage mechanism involving the coordination reaction between C=N and K+. The CV curve indicates that Mn doping did not significantly alter the redox peaks (Fig.S7a). The observed one oxidation peak and two reduction peaks are attributed to the reversible insertion/migration process of K+ in Mn@PN. The closed loop area and the number of redox peaks of the CV curve are directly correlated with the specific capacitance of the material. Notably, the CV curve for Mn@PN exhibited a significantly larger closed-loop area compared to that of the PN electrode (Fig.2b), confirming that the Mn-doped system exhibited higher ion migration rates and reaction reversibility, thereby substantially enhancing the K+ storage capacitance of Mn@PN in the three-electrode system. Charge transfer kinetics were analyzed using EIS, where Rs represents the solution resistance, Rct represents the charge transfer resistance, CPE represents the constant phase element, and ZW represents the Warburg impedance (Fig.2c). The Nyquist plot for Mn@PN showed a considerably smaller semicircle in the high-frequency region, with the corresponding Rct reduced to 2.4 Ω·cm2. Additionally, the slope of the ZW in the low-frequency region increased by 45%, indicating a significant enhancement in K+ diffusion kinetics.

    Figure 2

    Figure 2.  (a) CV curves of Mn@PN at different scan rates; (b) CV curves of Mn@PN and PN at 1 mV·s-1; (c) Nyquist plots of Mn@PN and PN; (d) b-values of Mn@PN for different peaks; (e) Diffusion control contribution rate of Mn@PN at 5 mV·s-1; (f) Relative contributions of surface-controled and diffusion-controled to the charge storage process of Mn@PN at various scan rates

    Inset: corresponding equivalent circuit diagram.

    To investigate the charge storage dynamics of K+ in the Mn@PN electrode, a capacitance contribution analysis was conducted using the Trasatti method to determine the relative contributions of surface-controlled and diffusion-controlled processes[33]. The relationship between the redox peak current (ip) and the scan rate (v) was calculated using Eq.4:

    $ i_\mathrm{p}=av^{b}$

    (4)

    where a and b are adjustable parameters. When b=0.5, the reaction process is dependent on ion diffusion, indicating battery-like behavior. For 0.5<b<1, both surface-controlled and diffusion-controlled processes influence the reaction, resulting in combined battery and pseudocapacitance behavior. When b=1, the process is purely capacitance-dependent, characteristic of supercapacitor behavior. The b values for peaks 1, 2, and 3, determined by linear fitting, were 0.616, 0.675, and 0.651, respectively, suggesting that the entire charge/discharge process is governed by both battery and pseudocapacitance behavior (Fig.2d). Similarly, the b values of peaks 1, 2, and 3 for PN were 0.673, 0.632, and 0.677 (Fig.S7d). The minimal difference between the b values of Mn@PN and PN indicates that a small amount of Mn doping does not significantly affect the redox behavior. These values are close to 0.5, indicating that the diffusion-controlled process predominantly affects the redox process of K+ in Mn@PN. As shown in Fig.2e, the diffusion-controlled process accounted for 91.8% of the stored charge at a scan rate of 5 mV·s-1. As the scan rate increased from 1 to 30 mV·s-1, the contribution of diffusion-controlled decreased from 93.6% to 76.3% (Fig.2f), whereas for PN, it decreased from 87.2% to 62.2% (Fig.S7b and S7c).

    The GCD test accurately reveals the energy storage characteristics of the electrode material. When the voltage was set above 0.45 V, the Coulombic efficiency of Mn@PN was found to be below 98% (Fig.S8a). Therefore, the voltage of 0-0.45 V was selected for testing in the three-electrode system. As shown in Fig.3a, the GCD curves of the Mn@PN electrode at a current density of 3-50 A·g-1 all exhibited a highly symmetrical triangle, indicating excellent electrochemical reversibility and pseudocapacitive properties. Compared to the PN electrode (Fig.3b), the Mn@PN electrode showed a longer discharge time and a broader voltage platform at 3 A·g-1. This nonlinear charge/discharge characteristic originated from the good reversibility of the redox reaction, which is consistent with the CV curve results. The Mn@PN electrode demonstrated excellent specific capacitance and rate performance (Fig.3c), with a specific capacitance reaching an astonishing 10 318 F·g-1 at 3 A·g-1. Even at an ultra-high current density of 50 A·g-1, the Mn@PN electrode maintained a stable specific capacitance of 9 415 F·g-1, with a capacitance retention rate of 91.3%, which was 1.32 times that of the PN electrode (7 143 F·g-1) (Fig.3d). The Coulombic efficiency of the Mn@PN electrode was 93% at 3 A·g-1 and stabilized above 95% in the range of 5-50 A·g-1, confirming its excellent charge transfer efficiency under high-speed charge/discharge cycles. These outstanding electrochemical properties are attributed to the extended conjugated system and multi-electron sites in Mn@PN, which reduce the energy barrier for charge transfer in the material and facilitate the insertion/migration of large-radius K+ ions[34]. The surface storage and release of K+ on the Mn@PN electrode enable rapid transmission at various current densities. Notably, increasing the current density has minimal impact on the specific capacitance of the Mn@PN electrode. Cyclic stability is a crucial indicator for evaluating the performance of electrode materials (Fig.3e). After 9 000 cycles at 30 A·g-1, the Mn@PN electrode retained 97.4% of its initial capacitance, corresponding to an ultra-low capacitance decay rate of 0.003‰ per cycle, significantly outperforming the PN electrode (0.002% per cycle). These results underscore the exceptional cyclic stability of the Mn@PN electrode.

    Figure 3

    Figure 3.  (a) GCD curves of Mn@PN at various current densities; (b) GCD curves of Mn@PN and PN at 3 A·g-1; Corresponding specific capacitances after iR-drop correction of (c) Mn@PN and (d) PN at various current densities; (e) Cycling performance of Mn@PN and PN at 30 A·g-1

    Based on the high theoretical specific capacitance of the Mn@PN electrode, an asymmetric supercapacitor (Mn@PN||AC) was assembled with 3 mol·L-1 KOH as the electrolyte, Mn@PN as the working electrode, and AC as the counter electrode, to systematically evaluate its practical application potential. As shown in Fig.4a, within a broad voltage window of 0-2.2 V and in the range of 2-20 mV·s-1, the CV curves retained their morphology without noticeable polarization effects, indicating the superior electrochemical reversibility of Mn@PN||AC. The GCD curve (Fig.4b) further substantiates the rate capability of the material. The Coulombic efficiency of Mn@PN||AC decreased significantly when the voltage exceeded 1.0 V (Fig.S8b). Therefore, a voltage window of 0-1.0 V was selected for testing. Mn@PN||AC demonstrated stable operation even under high current densities spanning 15 to 50 A·g-1, while maintaining an exceptional Coulombic efficiency (≥95%). Specifically, the specific capacitances recorded were 1 640 F·g-1 at 15 A·g-1, 1 405 F·g-1 at 30 A·g-1, and still 996 F·g-1 at the elevated rate of 50 A·g-1 (Fig.4c). The cyclic stability assessment (Fig.4d) revealed that after 4 000 deep charge/discharge cycles at 20 A·g-1, the capacitance retention stood at 84.4%, accompanied by a minimal single-cycle decay rate of merely 0.024%. Furthermore, the Ragone plot (Fig.5) illustrated that Mn@PN achieved a remarkable maximum power density of 44 kW·kg-1 alongside an energy density of 328 Wh·kg-1, outperforming recently reported Mn-based and conductive polymer electrode systems[35-41]. Consequently, Mn@PN emerges as a frontrunner in high-performance supercapacitor materials.

    Figure 4

    Figure 4.  (a) CV curves, (b) GCD curves, (c) corresponding specific capacitance after iR-drop correction, and (d) cycling performance of Mn@PN||AC

    Figure 5

    Figure 5.  Ragone plot of Mn@PN compared with the related materials

    In summary, compared to other traditional polymer materials (e.g., PANI and polypyrrole) and carbon-based materials (e.g., biomass-derived carbons), Mn@PN demonstrated significantly enhanced reversible capacitance, rate capability, and cycling stability, especially at high current densities. The possible reasons are as follows: (ⅰ) PN may exhibit a bipolar energy storage mechanism, which combines the advantages of both n- and p-type organic materials, allowing for efficient energy storage and release[42]. (ⅱ) PN is a conjugated polymer formed via the oxidative polymerization of 1, 5-DAN. Its unique structure provides the electrode material with higher mechanical strength and effectively suppresses structural relaxation during charging and discharging, enabling the material to operate stably at high current densities. (ⅲ) The uniform doping of Mn single atoms within the polymer matrix is achieved through a simple oxidative polymerization method. This Mn doping further improves the material's electronic conductivity and forms Mn-N coordination structures within the PN framework. This effectively increases the energy density by providing more active sites for energy storage.

    In this study, a highly stable Mn@PN electrode for supercapacitor was successfully synthesized via chemical oxidative polymerization. The Mn@PN electrode demonstrated an exceptional specific capacitance of 10 318 F·g-1 at a current density of 3 A·g-1. Additionally, the Mn@PN electrode exhibited remarkable ultra-high rate performance, retaining 91.2% of its specific capacitance when the current density increased to 50 A·g-1. The assembled asymmetric supercapacitor (Mn@PN||AC) achieved an energy density of 328 Wh·kg-1 and a power density of 44 kW·kg-1, maintaining a capacitance retention rate of 84.4% after 4 000 charge/discharge cycles. Overall, the Mn@PN electrode offers a novel approach to developing next-generation energy storage devices with both high energy and high power.


    Acknowledgements: We are grateful for the financial support from the National Natural Science Foundation of China (Grants No.22161043, 22201105), Yunnan Fundamental Research Project (Grants No.202301BD070001-239, 202201AU070071, 202301AT070224), and Jiaxing Youth Science and Technology Talent Special Project (Grant No.2023AY40020). Supporting information is available at http://www.wjhxxb.cn
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  • Figure 1  (a) TEM image and (b) HAADF-STEM image and corresponding elemental mappings of Mn@PN; (c) FTIR spectra and (d) XRD patterns of 1, 5-DAN, PN, and Mn@PN

    Figure 2  (a) CV curves of Mn@PN at different scan rates; (b) CV curves of Mn@PN and PN at 1 mV·s-1; (c) Nyquist plots of Mn@PN and PN; (d) b-values of Mn@PN for different peaks; (e) Diffusion control contribution rate of Mn@PN at 5 mV·s-1; (f) Relative contributions of surface-controled and diffusion-controled to the charge storage process of Mn@PN at various scan rates

    Inset: corresponding equivalent circuit diagram.

    Figure 3  (a) GCD curves of Mn@PN at various current densities; (b) GCD curves of Mn@PN and PN at 3 A·g-1; Corresponding specific capacitances after iR-drop correction of (c) Mn@PN and (d) PN at various current densities; (e) Cycling performance of Mn@PN and PN at 30 A·g-1

    Figure 4  (a) CV curves, (b) GCD curves, (c) corresponding specific capacitance after iR-drop correction, and (d) cycling performance of Mn@PN||AC

    Figure 5  Ragone plot of Mn@PN compared with the related materials

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  • 发布日期:  2026-02-10
  • 收稿日期:  2025-06-20
  • 修回日期:  2025-11-07
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