﻿<article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">
  <front>
    <journal-meta>
      <journal-id journal-id-type="nlm-ta">Microstructures</journal-id>
      <journal-id journal-id-type="publisher-id">MICROSTRUCTURES</journal-id>
      <journal-title-group>
        <journal-title>Microstructures</journal-title>
      </journal-title-group>
      <issn pub-type="epub">2770-2995</issn>
      <publisher>
        <publisher-name>OAE Publishing Inc.</publisher-name>
      </publisher>
    </journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.20517/microstructures.2026.76</article-id>
      <article-categories>
        <subj-group>
          <subject>Research Article</subject>
        </subj-group>
      </article-categories>
      <title-group>
        <article-title>Sintering aids engineering for high-performance energy storage in tungsten bronze ceramics</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes">
          <name>
            <surname>Kang</surname>
            <given-names>Ruirui</given-names>
          </name>
          <xref ref-type="aff" rid="I1">
            <sup>1</sup>
          </xref>
          <xref ref-type="corresp" rid="cor1" />
        </contrib>
        <contrib contrib-type="author">
          <name>
            <surname>Hu</surname>
            <given-names>Haichao</given-names>
          </name>
          <xref ref-type="aff" rid="I1">
            <sup>1</sup>
          </xref>
        </contrib>
        <contrib contrib-type="author">
          <name>
            <surname>Xu</surname>
            <given-names>Junbo</given-names>
          </name>
          <xref ref-type="aff" rid="I1">
            <sup>1</sup>
          </xref>
        </contrib>
        <contrib contrib-type="author">
          <name>
            <surname>Yang</surname>
            <given-names>Bian</given-names>
          </name>
          <xref ref-type="aff" rid="I2">
            <sup>2</sup>
          </xref>
        </contrib>
        <contrib contrib-type="author">
          <name>
            <surname>Zhao</surname>
            <given-names>Yingying</given-names>
          </name>
          <xref ref-type="aff" rid="I3">
            <sup>3</sup>
          </xref>
        </contrib>
        <contrib contrib-type="author" corresp="yes">
          <name>
            <surname>Gao</surname>
            <given-names>Yangfei</given-names>
          </name>
          <xref ref-type="aff" rid="I1">
            <sup>1</sup>
          </xref>
          <xref ref-type="corresp" rid="cor1" />
        </contrib>
        <contrib contrib-type="author" corresp="yes">
          <name>
            <surname>Shao</surname>
            <given-names>Jinyou</given-names>
          </name>
          <xref ref-type="aff" rid="I1">
            <sup>1</sup>
          </xref>
          <xref ref-type="aff" rid="I4">
            <sup>4</sup>
          </xref>
          <xref ref-type="corresp" rid="cor1" />
        </contrib>
        <contrib contrib-type="author" corresp="yes">
          <name>
            <surname>Lou</surname>
            <given-names>Xiaojie</given-names>
          </name>
          <xref ref-type="aff" rid="I1">
            <sup>1</sup>
          </xref>
          <xref ref-type="corresp" rid="cor1" />
          <contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-0603-8451</contrib-id>
        </contrib>
      </contrib-group>
      <aff id="I1">
        <sup>1</sup>Frontier Institute of Science and Technology, State Key Laboratory for Mechanical Behavior of Materials, Interdisciplinary Research Center of Frontier Science and Technology, Xi’an Jiaotong University, Xi’an 710049, Shaanxi, China.</aff>
      <aff id="I2">
        <sup>2</sup>School of Materials Science and Engineering, Xi’an University of Technology, Xi’an 710048, Shaanxi, China.</aff>
      <aff id="I3">
        <sup>3</sup>College of Materials Science and Engineering, Xi’an University of Science and Technology, Xi’an 710054, Shaanxi, China.</aff>
      <aff id="I4">
        <sup>4</sup>Micro- and Nano-Technology Research Center, State Key Laboratory for Manufacturing Systems Engineering, Xi’an Jiaotong University, Xi’an 710049, Shaanxi, China.</aff>
      <author-notes>
        <corresp id="cor1">Correspondence to: Dr. Ruirui Kang, Dr. Yangfei Gao, Prof. Jinyou Shao, Prof. Xiaojie Lou, Frontier Institute of Science and Technology, State Key Laboratory for Mechanical Behavior of Materials, Interdisciplinary Research Center of Frontier Science and Technology, Xi’an Jiaotong University, Xi’an 710049, Shaanxi, China. E-mail: <email>krr0121@xjtu.edu.cn</email>; <email>gaoyangfei@xjtu.edu.cn</email>; <email>jyshao@xjtu.edu.cn</email>; <email>xlou03@xjtu.edu.cn</email></corresp>
        <fn fn-type="other">
          <p>
            <bold>Received:</bold> 21 Apr 2026 |  <bold>First Decision:</bold> 15 May 2026 |  <bold>Revised:</bold> 5 Jun 2026 |  <bold>Accepted:</bold> 25 Jun 2026 |  <bold>Published:</bold> 13 Jul 2026</p>
        </fn>
        <fn fn-type="other">
          <p>
            <bold>Academic Editor:</bold> Jungho Ryu | <bold>Copy Editor:</bold> Ping Zhang |  <bold>Production Editor:</bold> Ping Zhang</p>
        </fn>
      </author-notes>
	  <pub-date pub-type="ppub">
        <year>2026</year>
      </pub-date>
      <pub-date pub-type="epub">
        <day>13</day>
        <month>7</month>
        <year>2026</year>
      </pub-date>
      <volume>6</volume>
	  <issue>4</issue>
      <elocation-id>2026096</elocation-id>
      <permissions>
        <copyright-statement>© The Author(s) 2026.</copyright-statement>
        <license xlink:href="https://creativecommons.org/licenses/by/4.0/">
          <license-p>© The Author(s) 2026. <bold>Open Access</bold> This article is licensed under a Creative Commons Attribution 4.0 International License (<uri xlink:href="https://creativecommons.org/licenses/by/4.0/">https://creativecommons.org/licenses/by/4.0/</uri>), which permits unrestricted use, sharing, adaptation, distribution and reproduction in any medium or format, for any purpose, even commercially, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.</license-p>
        </license>
      </permissions>
      <abstract>
        <p>Dielectric ceramics are critical for pulsed power applications owing to their high-power density and rapid charge-discharge capabilities. Among them, tetragonal tungsten bronze (TTB)-type ceramics have attracted attention as potential energy-storage materials due to their non-volatile compositions and structural adaptability. However, previous studies have primarily focused on regulating energy storage performance through multi-element doping, with relatively little attention paid to optimizing the sintering process to enhance the inherent performance of ceramics. In this work, we demonstrate an alternative and effective strategy to improve the intrinsic energy-storage performance in TTB-structured Sr<sub>0.6</sub>Ba<sub>0.4</sub>Nb<sub>2</sub>O<sub>6</sub> (SBN) ceramics through the incorporation of sintering aids, including MnO<sub>2</sub>, CuO, and Li<sub>2</sub>CO<sub>3</sub>, rather than complex compositional doping. The influence of these additives on the microstructure, dielectric behavior, and energy-storage characteristics is systematically investigated. Results show that CuO-modified SBN ceramics achieve a high recoverable energy density of 4.41 J/cm<sup>3</sup>, representing a 128% enhancement compared to pristine SBN ceramic, along with an efficiency of 93.4%. This superior performance is attributed to the synergistic effects of enhanced densification and strengthened relaxor characteristics. Moreover, the ceramic presents excellent thermal <InlineParagraph>(25-125 °C)</InlineParagraph> and frequency stability (1-200 Hz). Our findings highlight sintering-aid engineering as a facile route to significantly enhance the energy-storage performance of SBN ceramics, thereby laying a foundation for the performance optimization of TTB-structured energy-storage ceramics.</p>
      </abstract>
      <kwd-group>
        <kwd>Dielectric capacitor</kwd>
        <kwd>ferroelectrics</kwd>
        <kwd>energy storage</kwd>
        <kwd>tungsten bronze</kwd>
        <kwd>relaxor ferroelectric</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec1">
      <title>INTRODUCTION</title>
      <p>Dielectric ceramics are critical components in advanced pulse-power systems, benefiting from their high power density, rapid charge-discharge capability, and excellent reliability<sup>[<xref ref-type="bibr" rid="B1">1</xref>,<xref ref-type="bibr" rid="B2">2</xref>]</sup>. However, their energy storage density and efficiency still require substantial improvement to meet the growing demands of device miniaturization. The key figures of merit for energy storage, including total energy density (<italic>W</italic><sub>t</sub>), recoverable energy density (<italic>W</italic><sub>rec</sub>), and efficiency (<italic>η</italic>), are expressed as follows<sup>[<xref ref-type="bibr" rid="B3">3</xref>-<xref ref-type="bibr" rid="B5">5</xref>]</sup>,</p>
      <p><disp-formula> <label>(1)</label> <tex-math id="E1"> $$ W_{\mathrm{t}}= \int_{0}^{P_{\mathrm{m}}} E d P  $$ </tex-math></disp-formula></p>
      <p><disp-formula> <label>(2)</label> <tex-math id="E2"> $$ W_{\mathrm{rec}}=-\int_{P_{\mathrm{m}}}^{P_{\mathrm{r}}} E d P $$ </tex-math></disp-formula></p>
      <p><disp-formula> <label>(3)</label> <tex-math id="E3"> $$ \eta=\frac{W_{\mathrm{rec}}}{W_{\mathrm{t}}} \times 100 \% $$ </tex-math></disp-formula></p>
      <p>where <italic>P</italic><sub>m</sub> and <italic>P</italic><sub>r</sub> denote the maximum and remnant polarization, respectively, and <italic>E</italic> represents the applied electric field. Therefore, to achieve high <italic>W</italic><sub>rec</sub> and <italic>η</italic>, it is essential to maximize Δ<italic>P</italic> (<italic>P</italic><sub>m</sub> - <italic>P</italic><sub>r</sub>) and enhance the breakdown electric field (<italic>E</italic><sub>b</sub>).</p>
      <p>Dielectric materials are commonly classified into linear dielectrics, ferroelectrics, relaxor ferroelectrics, and antiferroelectrics<sup>[<xref ref-type="bibr" rid="B6">6</xref>]</sup>. Linear dielectrics exhibit low Δ<italic>P</italic> due to the absence of switchable dipoles<sup>[<xref ref-type="bibr" rid="B7">7</xref>-<xref ref-type="bibr" rid="B9">9</xref>]</sup>. Conventional ferroelectrics typically suffer from inferior energy storage performance because their microdomains lead to early polarization saturation under low electric fields<sup>[<xref ref-type="bibr" rid="B10">10</xref>]</sup>, resulting in high <italic>P</italic><sub>r</sub> and low <italic>E</italic><sub>b</sub>. In contrast, relaxor ferroelectrics have attracted considerable interest for energy storage applications owing to their prominent Δ<italic>P</italic> and superior <italic>E</italic><sub>b</sub><sup>[<xref ref-type="bibr" rid="B4">4</xref>,<xref ref-type="bibr" rid="B11">11</xref>,<xref ref-type="bibr" rid="B12">12</xref>]</sup>. These advantages stem from their characteristic nanodomain structure, which responds more quickly to external electric fields compared to the microdomains in normal ferroelectrics, thereby enabling higher <italic>W</italic><sub>rec</sub> and <italic>η</italic>.</p>
      <p>In the past decade, research on relaxor ferroelectrics for energy storage applications has largely focused on perovskite-structured systems, such as Bi<sub>0.5</sub>Na<sub>0.5</sub>TiO<sub>3</sub><sup>[<xref ref-type="bibr" rid="B13">13</xref>,<xref ref-type="bibr" rid="B14">14</xref>]</sup>, BaTiO<sub>3</sub><sup>[<xref ref-type="bibr" rid="B15">15</xref>,<xref ref-type="bibr" rid="B16">16</xref>]</sup>, and K<sub>0.5</sub>Na<sub>0.5</sub>Nb<sub>0.5</sub><sup>[<xref ref-type="bibr" rid="B17">17</xref>,<xref ref-type="bibr" rid="B18">18</xref>]</sup> ceramics. Recently, tetragonal tungsten bronze (TTB)-structured dielectric ceramics, with the general chemical formula (A1)<sub>2</sub>(A2)<sub>4</sub>C<sub>4</sub>(B1)<sub>2</sub>(B2)<sub>8</sub>O<sub>30</sub>, have emerged as promising candidates for energy storage due to their structural versatility<sup>[<xref ref-type="bibr" rid="B19">19</xref>-<xref ref-type="bibr" rid="B21">21</xref>]</sup>. TTB compounds can be classified into three structural subtypes according to cation occupancy at the interstitial sites: the fully filled type (all A1, A2, and C sites occupied), the filled type (A1 and A2 fully occupied, C vacant), and the unfilled type (A1 and A2 partially occupied, C vacant). Among them, strontium barium niobate (Sr<italic><sub>x</sub></italic>Ba<sub>1-</sub><italic><sub>x</sub></italic>Nb<sub>2</sub>O<sub>6</sub>), an example of an unfilled tungsten bronze structure, has attracted much attention in the field of dielectric energy storage materials due to its non-volatile compositions and tunable relaxor behavior<sup>[<xref ref-type="bibr" rid="B22">22</xref>]</sup>.</p>
      <p>Recent advances in Sr<italic><sub>x</sub></italic>Ba<sub>1-</sub><italic><sub>x</sub></italic>Nb<sub>2</sub>O<sub>6</sub>-based ceramics have mainly relied on multi-element doping to tailor relaxor properties. For instance, Tang <italic>et al</italic>. achieved <italic>W</italic><sub>rec</sub> of 5.22 J/cm<sup>3</sup> and an <italic>η</italic> of 83.4% in Sr<sub>0.475</sub>Ba<sub>0.475</sub>La<sub>0.1</sub>Hf<sub>0.1</sub>Ti<sub>0.1</sub>Sb<sub>0.2</sub>Ta<sub>0.3</sub>Nb<sub>1.3</sub>O<sub>6</sub> based on the high-entropy strategy and bandgap engineering<sup>[<xref ref-type="bibr" rid="B23">23</xref>]</sup>. The addition of perovskite-type BiAlO<sub>3</sub> into Sr<sub>0.6</sub>Ba<sub>0.4</sub>Nb<sub>2</sub>O<sub>6</sub> was reported to induce remarkable incommensurate modulation and facilitate polar nanoregions (PNRs) formation, thereby optimizing energy storage properties<sup>[<xref ref-type="bibr" rid="B24">24</xref>]</sup>. Furthermore, a high-entropy TTB ceramic, (Sr<sub>0.2</sub>Ba<sub>0.2</sub>Pb<sub>0.2</sub>La<sub>0.2</sub>Na<sub>0.2</sub>)Nb<sub>2</sub>O<sub>6</sub> was designed via equimolar multi-cation substitution, attaining a high <italic>W</italic><sub>rec</sub> of 11.0 J/cm<sup>3</sup> and an <italic>η</italic> of 81.9% under the electric field of 753 kV/cm, which was attributed to enhanced compositional heterogeneity and lattice distortion that reduce polarization hysteresis and improve breakdown strength<sup>[<xref ref-type="bibr" rid="B25">25</xref>]</sup>. Similarly, Duan <italic>et al</italic>. fabricated high-entropy TTB ceramics with the composition Sr<sub>0.35</sub>Ba<sub>0.35</sub>Na<sub>0.1</sub>Ca<sub>0.1</sub>Bi<sub>0.1</sub>Nb<sub>1.8</sub>Ta<sub>0.2</sub>O<sub>6</sub>. The introduction of multiple cations promotes the formation of PNRs, which effectively lowers domain-switching energy barriers and weakens interdomain coupling. This synergistic effect thereby delays polarization saturation and leads to enhanced energy-storage performance<sup>[<xref ref-type="bibr" rid="B26">26</xref>]</sup>. While the aforementioned studies have successfully enhanced the energy-storage performance of Sr<italic><sub>x</sub></italic>Ba<sub>1-</sub><italic><sub>x</sub></italic>Nb<sub>2</sub>O<sub>6</sub> ceramics through various elemental doping strategies, it should not be overlooked that the sintering aids also play an important role in determining energy-storage performance.</p>
      <p>Sr<sub>0.6</sub>Ba<sub>0.4</sub>Nb<sub>2</sub>O<sub>6</sub> ceramics exhibit typical relaxor ferroelectric characteristics, with a broad phase transition temperature around 50 °C<sup>[<xref ref-type="bibr" rid="B24">24</xref>]</sup>, providing a promising basis for achieving high energy-storage performance. Here, we propose a feasible and practical strategy to further enhance the energy-storage performance of Sr<sub>0.6</sub>Ba<sub>0.4</sub>Nb<sub>2</sub>O<sub>6</sub> ceramics through the selective use of sintering aids, including MnO<sub>2</sub>, CuO, and Li<sub>2</sub>CO<sub>3</sub>. The effects of these additives on microstructure, dielectric response, and energy-storage performance and related mechanisms are illustrated. The results reveal that the outstanding performance of the CuO-modified ceramics correlates with enhanced densification and a widened band gap, which collectively improve the <italic>E</italic><sub>b</sub>. Moreover, the significantly enhanced relaxor degree is beneficial for reducing polarization loss. This combination of enhanced <italic>E</italic><sub>b</sub> and reduced polarization loss ultimately leads to an improved energy storage density. This work provides a viable method for enhancing the intrinsic energy-storage performance of Sr<sub>0.6</sub>Ba<sub>0.4</sub>Nb<sub>2</sub>O<sub>6</sub> (SBN)-based ceramics.</p>
    </sec>
    <sec id="sec2">
      <title>MATERIALS AND METHODS</title>
      <p>The SBN (defined as S0) ceramic and its variants modified with sintering aids (MnO<sub>2</sub>, CuO, and Li<sub>2</sub>CO<sub>3</sub>, designated as S1, S2, and S3, respectively) were synthesized using a conventional solid-state reaction method. High-purity starting materials in this work were supplied by Aladdin Reagent Co., LTD (China). Firstly, BaCO<sub>3</sub> (99%), SrCO<sub>3</sub> (99%), and Nb<sub>2</sub>O<sub>5</sub> (99.9%) were weighed according to the target stoichiometry. These powders were mixed via ball milling in an alcohol medium for 12 h. The blended slurry was then dried and calcined at 1,150 °C for 2 h to form the desired crystalline phase. Next, the different sintering aids, including MnO<sub>2</sub> (99.9%), CuO (99.0%), and Li<sub>2</sub>CO<sub>3</sub> (99.0%), were added in a proportion of 0.2 wt%. The concentration of 0.2 wt% was selected based on a previous study<sup>[<xref ref-type="bibr" rid="B27">27</xref>]</sup>, which reported that this amount is effective for tungsten bronze-structured relaxor ceramics. The mixed powders were again milled to improve homogeneity. Following this, the fine powders were granulated and compacted to form uniform green bodies. Finally, densification was achieved by sintering the compacts at 1,250-1,350 °C for 2 h in air to yield the final ceramics.</p>
      <p>The crystalline phase structure of the sintered pellets was characterized by X-ray diffraction (XRD, Shimadzu XRD-6100, Japan) over a 2<italic>θ</italic> range of 10°-120° at a scan rate of 2 °/min. Surface morphology was examined using a field-emission scanning electron microscope (FE-SEM, TESCAN MAIA3 LMH, Czech Republic). Raman spectroscopy was conducted on a Horiba Jobin Yvon LabRAM HR Evolution spectrometer with a 532.3 nm excitation source. For dielectric measurements, the samples were polished to a thickness of 0.8 mm and coated with silver paste on both surfaces, and then were evaluated using an Inductance-Capacitance-Resistance (LCR) meter (Agilent E4980A, USA) at an applied voltage of 1 V. For ferroelectric hysteresis loop measurements, all specimens were polished to 0.10-0.15 mm and sputtered with Pt circular electrodes 2 mm in diameter, characterized by a ferroelectric working station (Precision Premier II, Radiant Company). Ultraviolet-visible (UV-vis) absorption spectra were obtained by a UV-vis Spectrometer (PerkinElmer Lambda 950, China). X-ray photoelectron spectroscopy (XPS, Thermo Scientific ESCALAB 250Xi, USA) was used to observe the existence of oxygen vacancies. Local crystallographic structure and selected area electron diffraction (SAED) were investigated by bright-field transmission electron microscopy (BF-TEM, JEOL JEM-F200, Japan).</p>
    </sec>
    <sec id="sec3">
      <title>RESULTS AND DISCUSSION</title>
      <sec id="sec3-1">
        <title>Energy storage performance of sintering aids-modulated SBN ceramics</title>
        <p>To investigate the effects of various sintering aids on energy storage performance, unipolar polarization-electric field (<italic>P-E</italic>) hysteresis loops were measured for all samples at their respective <italic>E</italic><sub>b</sub>, as presented in <xref ref-type="fig" rid="fig1">Figure 1A</xref>. All loops exhibit similar trends under the applied electric field and consistently show low <italic>P</italic><sub>r</sub>, an intrinsic characteristic of SBN ceramics. <xref ref-type="fig" rid="fig1">Figure 1B</xref> illustrates the dependence of <italic>P</italic><sub>m</sub>, <italic>P</italic><sub>r</sub>, and Δ<italic>P</italic> on the sintering aids. The incorporation of sintering aids systematically enhances <italic>P</italic><sub>m</sub> while maintaining an almost constant <italic>P</italic><sub>r</sub>. As a result, a significant improvement in Δ<italic>P</italic> is achieved, underscoring the effectiveness of sintering aids in optimizing polarization behavior. Specifically, the measured <italic>P</italic><sub>m</sub> values are 21.89, 24.47, 29.38, and <InlineParagraph>24.59 µC/cm<sup>2</sup>,</InlineParagraph> with the S2 sample achieving the highest Δ<italic>P</italic> of 26.59 µC/cm<sup>2</sup>. Consequently, the S2 sample demonstrates the optimal energy storage performance [<xref ref-type="fig" rid="fig1">Figure 1C</xref>], delivering a <italic>W</italic><sub>rec</sub> of 4.41 J/cm<sup>3</sup> and an <italic>η</italic> of 93.4%. <xref ref-type="fig" rid="fig1">Figure 1D</xref> presents the <italic>P-E</italic> hysteresis loops of the S2 ceramic under varying electric fields. As the electric field strength increases, the <italic>P</italic><sub>m</sub> rises gradually without reaching clear saturation, indicating favorable potential for further optimization of energy storage performance. As summarized in <inline-supplementary-material content-type="local-data" mimetype="application/pdf" xlink:href="microstructures6076-SupplementaryMaterials.pdf">Supplementary Table 1</inline-supplementary-material>, the S2 ceramic exhibits superior <italic>W</italic><sub>rec</sub> and <italic>η</italic> compared to recently reported TTB-structured ceramics, highlighting its potential for high-performance energy storage applications. The underlying mechanisms responsible for the superior performance of the S2 sample will be discussed in detail in the following section.</p>
        <fig id="fig1" position="float">
          <label>Figure 1</label>
          <caption>
            <p>(A) <italic>P-E</italic> hysteresis loops, (B) <italic>P</italic><sub>m</sub>, <italic>P</italic><sub>r</sub> and Δ<italic>P</italic>, (C) <italic>W</italic><sub>rec</sub> and <italic>η</italic>, and (D) Electric field-dependent <italic>P-E</italic> hysteresis loops for S2 <InlineParagraph>ceramic. <italic>P-E</italic>:</InlineParagraph> Polarization-electric field.</p>
          </caption>
          <graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="microstructures6076.fig.1.jpg" />
        </fig>
      </sec>
      <sec id="sec3-2">
        <title>Microstructural origin of enhancement in energy storage performance</title>
        <p>
          <xref ref-type="fig" rid="fig2">Figure 2A</xref> visualizes a schematic of the SBN lattice structure projected along the [001] axis. In this structure, the C site remains vacant, while the A and B sites are partially occupied: only 5/6 of the A positions are filled, with the remaining 1/6 left empty<sup>[<xref ref-type="bibr" rid="B28">28</xref>]</sup>. Notably, due to its larger ionic radius (1.61 Å), Ba<sup>2+</sup> tends to occupy the larger A2 site, whereas the smaller Sr<sup>2+</sup> (1.44 Å) occupies both the A1 site and the remaining A2 positions. Raman spectroscopy was performed in the range of 150-1,000 cm<sup>-1</sup>, with the spectra shown in <xref ref-type="fig" rid="fig2">Figure 2B</xref>. The observed features match those previously reported for TTB-type ceramics, confirming the characteristic vibrational modes of the TTB structure. The <italic>v</italic><sub>5</sub> mode near 250 cm<sup>-1</sup> is assigned to O-B-O bending vibrations, and the <italic>v</italic><sub>2</sub> mode around 630 cm<sup>-1</sup> is corresponding to B-O stretching vibrations<sup>[<xref ref-type="bibr" rid="B29">29</xref>]</sup>. No discernible changes in these modes were observed following the addition of sintering aids, suggesting that the sintering aids themselves do not alter the local structure. XRD patterns of all samples are presented in <xref ref-type="fig" rid="fig2">Figure 2C</xref>. They show good agreement with the standard reference (JCPDS No. 88-0785) and no detectable secondary phases, indicating that the addition of sintering aids does not induce phase separation. Rietveld refinement of the XRD data was performed, with the results presented in <inline-supplementary-material content-type="local-data" mimetype="application/pdf" xlink:href="microstructures6076-SupplementaryMaterials.pdf">Supplementary Figure 1</inline-supplementary-material> and the detailed lattice parameters summarized in <inline-supplementary-material content-type="local-data" mimetype="application/pdf" xlink:href="microstructures6076-SupplementaryMaterials.pdf">Supplementary Table 2</inline-supplementary-material>. All samples were indexed to the pure <italic>P</italic>4<italic>bm</italic> space group. Notably, the introduction of sintering aids results in varying degrees of change in the lattice parameters, indicating that these additives can partially enter the crystal lattice of the matrix. To evaluate the effect of sintering aids on densification, the measured and relative density of the ceramics are summarized in <xref ref-type="fig" rid="fig2">Figure 2D</xref>. Ceramics modified with sintering aids exhibit relative densities exceeding 98%, higher than the 96.7% achieved for the unmodified SBN ceramic.</p>
        <fig id="fig2" position="float">
          <label>Figure 2</label>
          <caption>
            <p>(A) Schematic of the SBN lattice structure projected along the [001] axis; (B) Raman spectra, (C) XRD patterns, and (D) measured actual density along with relative density of all SBN ceramics; SAED patterns of S2 ceramic projected along the (E) [110] axis and (F) [001] axis. SBN: Sr<sub>0.6</sub>Ba<sub>0.4</sub>Nb<sub>2</sub>O<sub>6</sub>; XRD: X-ray diffraction; SAED: selected-area electron diffraction.</p>
          </caption>
          <graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="microstructures6076.fig.2.jpg" />
        </fig>
        <p>The phase structures of the S2 ceramic were further characterized using transmission electron microscopy (TEM), as shown in <xref ref-type="fig" rid="fig2">Figure 2E</xref>-<xref ref-type="fig" rid="fig2">F</xref>. Along the [110] and [001] zone axes, the basic SAED patterns can be indexed to a standard TTB structure. Notably, superlattice spots are observed along the [110] zone axis, which can be attributed to A-site cation distortion, consistent with previous reports<sup>[<xref ref-type="bibr" rid="B30">30</xref>]</sup>. Specifically, the A-site cation distortion, as evidenced by these superlattice spots, introduces local random fields that disrupt the long-range ferroelectric order. This disruption promotes the formation of PNRs, which are widely recognized as the hallmark of relaxor ferroelectrics.</p>
        <p>
          <xref ref-type="fig" rid="fig3">Figure 3A</xref>-<xref ref-type="fig" rid="fig3">D</xref> present the surface SEM images of all SBN ceramics, with their corresponding grain size distributions displayed in <xref ref-type="fig" rid="fig3">Figure 3E</xref>. All compositions exhibit a microstructure consisting of a mixture of equiaxed and pillar-type grains. Notably, the unmodified S0 ceramic exhibits a few residual pores, whereas the addition of sintering aids reduced porosity and resulted in a marked improvement in densification. This enhanced densification directly contributes to superior breakdown resistance. On one hand, fewer pores reduce local electric field concentration, delaying breakdown initiation. On the other hand, a more compact microstructure effectively hinders the propagation of breakdown pathways. Based on Gaussian fitting, the average grain sizes are determined to be 1.47, 2.09, 1.92, and 1.74 µm, indicating that the sintering aids promote grain growth to a certain degree. This enhanced densification and grain coarsening can be attributed to the effects of the MnO<sub>2</sub>/CuO/Li<sub>2</sub>CO<sub>3</sub> sintering additives. During the sintering process, a liquid phase forms, facilitating mass transport and thereby promoting grain growth and densification<sup>[<xref ref-type="bibr" rid="B27">27</xref>,<xref ref-type="bibr" rid="B31">31</xref>,<xref ref-type="bibr" rid="B32">32</xref>]</sup>. As illustrated in <inline-supplementary-material content-type="local-data" mimetype="application/pdf" xlink:href="microstructures6076-SupplementaryMaterials.pdf">Supplementary Figures 2</inline-supplementary-material>-<inline-supplementary-material content-type="local-data" mimetype="application/pdf" xlink:href="microstructures6076-SupplementaryMaterials.pdf">5</inline-supplementary-material>, the homogeneous distribution of Mn and Cu with no observable segregation confirms that these ions have been incorporated uniformly into the SBN lattice. The improved densification and uniform elemental distribution are favorable for the optimization of the electrical properties.</p>
        <fig id="fig3" position="float">
          <label>Figure 3</label>
          <caption>
            <p>SEM images of (A) S0, (B) S1, (C) S2, (D) S3 samples; (E) grain size distribution of the SBN ceramics. SBN: Sr<sub>0.6</sub>Ba<sub>0.4</sub>Nb<sub>2</sub>O<sub>6</sub>; SEM: scanning electron microscope.</p>
          </caption>
          <graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="microstructures6076.fig.3.jpg" />
        </fig>
        <p>In this work, the introduction of sintering aids (MnO<sub>2</sub>, CuO, and Li<sub>2</sub>CO<sub>3</sub>) enables the incorporation of Mn<sup>4+</sup>, Li<sup>+</sup>, and Cu<sup>2+</sup> ions into B sites of the lattice, where they substitute for Nb<sup>5+</sup>. This aliovalent substitution necessitates charge compensation, leading to the formation of oxygen vacancies (<inline-formula><tex-math id="M1">$$  V_{\mathrm{o}}^{\prime \prime} $$</tex-math></inline-formula>)<sup>[<xref ref-type="bibr" rid="B33">33</xref>]</sup>. These oxygen vacancies tend to form defect dipoles with lattice defects, such as Mn<sub>Nb</sub><italic>’</italic>. Subsequently, these dipoles locally aggregate and couple to form defect clusters<sup>[<xref ref-type="bibr" rid="B34">34</xref>]</sup>. As a result, the concentration of mobile charge carriers decreases, enhancing the insulation properties of the ceramics. To further investigate the existence of oxygen vacancies, XPS analysis was performed, and the results are displayed in <inline-supplementary-material content-type="local-data" mimetype="application/pdf" xlink:href="microstructures6076-SupplementaryMaterials.pdf">Supplementary Figure 6</inline-supplementary-material>. The O 1s spectra of all ceramics could be deconvoluted into three distinct peaks via Avantage software, corresponding to lattice oxygen (O<sub>L</sub>), oxygen vacancies (O<sub>V</sub>), and adsorbed oxygen (O<sub>H</sub>)<sup>[<xref ref-type="bibr" rid="B35">35</xref>]</sup>.</p>
        <p>Taken together, these structural analyses demonstrate that the incorporation of sintering aids effectively promotes densification while preserving the single-phase TTB structure of SBN. These microstructural advantages underpin the enhanced energy storage performance observed in the corresponding samples.</p>
      </sec>
      <sec id="sec3-3">
        <title>Electrical properties origin of enhancement in energy storage performance</title>
        <p>To explore the origin of the electrical properties and the enhancement in energy storage performance, temperature-dependent dielectric permittivity (<italic>ε</italic><sub>r</sub>) and dielectric loss (tan<italic>δ</italic>) for all SBN ceramics are depicted in <xref ref-type="fig" rid="fig4">Figure 4A</xref>-<xref ref-type="fig" rid="fig4">D</xref>. All samples exhibit frequency dispersion with a broad phase transition temperature (<italic>T</italic><sub>m</sub>), indicative of typical relaxor behavior. <xref ref-type="fig" rid="fig4">Figure 4E</xref> compares the temperature-dependent <italic>ε</italic><sub>r</sub> across compositions, while the maximum permittivity (<italic>ε</italic><sub>m</sub>) and the corresponding <italic>T</italic><sub>m</sub> measured at 1 kHz are summarized in <xref ref-type="fig" rid="fig4">Figure 4F</xref>. The incorporation of sintering additives moderately influences the dielectric properties. Notably, the <italic>ε</italic><sub>r</sub> values of S1, S2, and S3 at room temperature are higher than those of S0. This increase in <italic>ε</italic><sub>r</sub>, accompanied by consistently low tan<italic>δ</italic>, is attributed to improved domain wall mobility and facilitated polarization rotation. Moreover, the addition of sintering aids leads to a decrease in <italic>T</italic><sub>m</sub>, which can be explained by the enhanced random fields introduced by the additives.</p>
        <fig id="fig4" position="float">
          <label>Figure 4</label>
          <caption>
            <p>Temperature-dependent dielectric properties of (A) S0, (B) S1, (C) S2, (D) S3 samples; (E) Comparison of temperature-dependent <italic>ε</italic><sub>r</sub> for all samples measured at 1 kHz; (F) <italic>ε</italic><sub>m</sub> and corresponding <italic>T</italic><sub>m</sub> for all samples at 1 kHz.</p>
          </caption>
          <graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="microstructures6076.fig.4.jpg" />
        </fig>
        <p>As a typical relaxor ferroelectric, SBN exhibits characteristic relaxor dispersion. <xref ref-type="fig" rid="fig5">Figure 5A</xref> presents the relaxation temperature span Δ<italic>T</italic><sub>relax</sub> (defined as <italic>T</italic><sub>m</sub> at 100 kHz minus <italic>T</italic><sub>m</sub> at 100 Hz) for each sample. Δ<italic>T</italic><sub>relax</sub> progressively increases from 7.4 °C for S0 to 9.1 °C for S1, 11.6 °C for S2, and finally to 12.4 °C for S3. Furthermore, a modified Curie-Weiss law is used to evaluate the relaxor degree<sup>[<xref ref-type="bibr" rid="B36">36</xref>,<xref ref-type="bibr" rid="B37">37</xref>]</sup>:</p>
        <fig id="fig5" position="float">
          <label>Figure 5</label>
          <caption>
            <p>(A) Comparison of Δ<italic>T</italic><sub>relax</sub> for all samples; (B) Plot of ln(1/<italic><sub>ε</sub></italic>-1/<italic>ε</italic><sub>m</sub>) versus ln(<italic>T</italic>-<italic>T</italic><sub>m</sub>) at 1 kHz.</p>
          </caption>
          <graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="microstructures6076.fig.5.jpg" />
        </fig>
        <p><disp-formula> <label>(4)</label> <tex-math id="E4"> $$ \frac{1}{\varepsilon}-\frac{1}{\varepsilon_{\mathrm{m}}}=\frac{\left(T-T_{\mathrm{m}}\right)^{\gamma}}{\mathrm{C}} $$ </tex-math></disp-formula></p>
        <p>A value of γ = 1 corresponds to normal ferroelectric behavior, whereas γ = 2 indicates ideal relaxor characteristics. The fitted γ values for S0-S3 are 1.71, 1.79, 1.80, and 1.81, respectively [<xref ref-type="fig" rid="fig5">Figure 5B</xref>]. These results provide powerful evidence that the addition of sintering additives effectively enhance the relaxor nature of the SBN ceramics, which originates from the formation of random fields and compositional disorder within the lattice.</p>
        <p>To evaluate the influence of the additive on the band gap, UV-vis absorption spectra [<xref ref-type="fig" rid="fig6">Figure 6A</xref>] were measured and analyzed using the Tauc plot method, expressed as<sup>[<xref ref-type="bibr" rid="B38">38</xref>,<xref ref-type="bibr" rid="B39">39</xref>]</sup>:</p>
        <fig id="fig6" position="float">
          <label>Figure 6</label>
          <caption>
            <p>(A) UV-vis absorption spectra, (B) Tauc plots, (C) Weibull distributions of the applied electric fields, and (D) <italic>E</italic><sub>b</sub> values for all SBN ceramics. UV-vis: Ultraviolet-visible; SBN: Sr<sub>0.6</sub>Ba<sub>0.4</sub>Nb<sub>2</sub>O<sub>6</sub>.</p>
          </caption>
          <graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="microstructures6076.fig.6.jpg" />
        </fig>
        <p><disp-formula> <label>(5)</label> <tex-math id="E5"> $$ (\alpha h v)^{\frac{1}{\mathrm{n}}}= A\left(h v-E_{\mathrm{g}}\right) $$ </tex-math></disp-formula></p>
        <p>where <italic>α</italic>, <italic>h</italic>, <italic>v</italic>, <italic>E</italic><sub>g</sub> denote the absorption coefficient, Planck’s constant, frequency, and band gap. A is a constant, and <italic>n</italic> is an index taken as 1/2 for dielectric ceramics. The calculated <italic>E</italic><sub>g</sub> values for all samples are 3.31, 3.28, 3.29, and 3.26 eV [<xref ref-type="fig" rid="fig6">Figure 6B</xref>], indicating good insulating properties. While the band gap width is generally considered to influence the intrinsic breakdown strength of dielectric materials, the variation in <italic>E</italic><sub>g</sub> among the samples is relatively small and cannot solely account for the significant differences observed in <italic>E</italic><sub>b</sub>. The substantial enhancement of <italic>E</italic><sub>b</sub> following the introduction of sintering aids is therefore primarily attributed to enhanced densification. The breakdown behavior was further assessed using Weibull statistics. <xref ref-type="fig" rid="fig6">Figure 6C</xref> displays the Weibull distributions fitted with the equation<sup>[<xref ref-type="bibr" rid="B40">40</xref>,<xref ref-type="bibr" rid="B41">41</xref>]</sup>:</p>
        <p><disp-formula> <label>(6)</label> <tex-math id="E6"> $$ P\left(E_{\mathrm{i}}\right)=1-\exp \left[-\left(\frac{E_{\mathrm{i}}}{E_{\mathrm{b}}}\right)^{\beta}\right] $$ </tex-math></disp-formula></p>
        <p>where <italic>E</italic> is the applied electric field, <italic>P</italic>(<italic>E</italic>) presents the cumulative probability at <italic>E</italic>, <italic>E</italic><sub>b</sub> is the characteristic breakdown strength [<italic>P</italic>(<italic>E</italic>) = 63.2%], and <italic>β</italic> is the shape parameter that reflects data reliability (higher indicates better reliability). The fitted <italic>E</italic><sub>b</sub> values are 255.9, 342.6, 442.3, and 343.7 kV/cm, as shown in <xref ref-type="fig" rid="fig6">Figure 6D</xref>. The highest <italic>E</italic><sub>b</sub> achieved in S2 is consistent with its superior energy storage performance shown in <xref ref-type="fig" rid="fig1">Figure 1C</xref>.</p>
        <p>In conclusion, the addition of sintering aids plays a crucial dual role in optimizing the ceramic’s energy storage performance. Firstly, it enhances densification, which effectively suppresses premature failure under high electric fields, thereby improving the breakdown strength. Secondly, it strengthens the relaxor characteristics, which minimizes hysteresis losses during charge-discharge cycles. The combination of a higher breakdown strength and lower polarization loss ultimately yields a markedly improved overall energy storage performance.</p>
      </sec>
      <sec id="sec3-4">
        <title>Thermal and frequency stability</title>
        <p>Furthermore, the thermal and frequency stability of the S2 ceramic was evaluated under an applied electric field of 320 kV/cm, as shown in <xref ref-type="fig" rid="fig7">Figure 7</xref>. Within the temperature range of 25-125 °C, the <italic>W</italic><sub>rec</sub> consistently exceeds 2.75 J/cm<sup>3</sup>, with variation below 10%, while the <italic>η</italic> remains above 91%. Notably, both <italic>W</italic><sub>rec</sub> and <italic>η</italic> also exhibit outstanding frequency stability, with variations of less than 2% across the measured frequency range. The excellent thermal stability can be attributed to the relaxor behavior and uniform microstructure promoted by the CuO sintering aid, which suppresses polarization degradation and loss increase at elevated temperatures. Overall, the CuO-modified SBN ceramics show remarkable stability in both temperature and frequency, underscoring their great potential for use in advanced pulse power devices.</p>
        <fig id="fig7" position="float">
          <label>Figure 7</label>
          <caption>
            <p>(A) <italic>P</italic>-<italic>E</italic> hysteresis loops; (B) <italic>W</italic><sub>rec</sub> and <italic>η</italic> for S2 sample within the temperature range of 25-125 °C under 320 kV/cm; (C) <italic>P</italic>-<italic>E</italic> hysteresis loops; (D) <italic>W</italic><sub>rec</sub> and <italic>η</italic> for S2 sample within the frequency range of 1-200 Hz under 320 kV/cm. <italic>P-E</italic>: Polarization-electric field.</p>
          </caption>
          <graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="microstructures6076.fig.7.jpg" />
        </fig>
      </sec>
    </sec>
    <sec id="sec4">
      <title>CONCLUSIONS</title>
      <p>In summary, different sintering aids (MnO<sub>2</sub>, CuO, and Li<sub>2</sub>CO<sub>3</sub>)-modified tetragonal tungsten bronze SBN ceramics were prepared via the traditional solid-state sintering process. Comprehensive structural characterizations including XRD, SEM, Raman spectra, and TEM demonstrate that the incorporation of sintering additives effectively promotes densification and strengthens relaxor character. Finally, we obtained a high <italic>W</italic><sub>rec</sub> of 4.41 J/cm<sup>3</sup> and an <italic>η</italic> of 93.4% in CuO-modified SBN ceramics. The ceramic also exhibits excellent thermal and frequency stability, maintaining a <italic>W</italic><sub>rec</sub> above 2.75 J/cm<sup>3</sup> with less than 10% variation under varying conditions. These results clarify the role of sintering aids in enhancing energy storage performance and provide guidance in tailoring SBN energy-storage ceramics.</p>
    </sec>
  </body>
  <back>
    <sec>
      <title>DECLARATIONS</title>
      <sec>
        <title>Acknowledgments</title>
        <p>We would like to thank Chao Feng at the Instrument Analysis Center of Xi’an Jiaotong University for the assistance with UV-vis absorption spectra characterization. Also, we thank the Public Research Platform at the State Key Laboratory of Electrical Insulation and Power Equipment.</p>
      </sec>
      <sec>
        <title>Authors’ contributions</title>
        <p>Investigation, conceptualization, methodology, validation, writing - original draft, writing - review &amp; editing, funding acquisition: Kang, R.</p>
        <p>Investigation, formal analysis, data curation: Hu, H.</p>
        <p>Formal analysis, methodology: Xu, J.</p>
        <p>Validation, funding acquisition: Yang, B.</p>
        <p>Formal analysis, funding acquisition: Zhao, Y.</p>
        <p>Validation, data curation, writing - review &amp; editing, funding acquisition: Gao, Y.</p>
        <p>Supervision: Shao, J.</p>
        <p>Resources, writing - review &amp; editing, supervision, funding acquisition: Lou, X.</p>
      </sec>
      <sec>
        <title>Availability of data and materials</title>
        <p>The data that support the findings of this study are available from the corresponding author upon reasonable request.</p>
      </sec>
      <sec>
        <title>AI and AI-assisted tools statement</title>
        <p>During the preparation of this manuscript, the AI tool ChatGPT (version 5.5, released 2026-04-23) was used solely for language editing. The tool did not influence the study design, data collection, analysis, interpretation, or the scientific content of the work. All authors take full responsibility for the accuracy, integrity, and final content of the manuscript.</p>
      </sec>
      <sec>
        <title>Financial support and sponsorship</title>
        <p>This work was supported by the National Natural Science Foundation of China (Nos. 52572141, 52572262, 52502153 and 52302155), Natural Science Basic Research Program of Shaanxi Province (2025JC-YBQN-579), Postdoctoral Fellowship Program of CPSF (GZC20250353), China Postdoctoral Science Foundation (2024M762584), Science and Technology Plan Project of Xi’an Beilin District of Shaanxi Province (GX2432) and Fundamental Research Funds for the Central Universities (Nos. xzy012025104 and xzd012025006).</p>
      </sec>
      <sec>
        <title>Conflicts of interest</title>
        <p>All authors declared that there are no conflicts of interest.</p>
      </sec>
      <sec>
        <title>Ethical approval and consent to participate</title>
        <p>Not applicable.</p>
      </sec>
      <sec>
        <title>Consent for publication</title>
        <p>Not applicable.</p>
      </sec>
      <sec>
        <title>Copyright</title>
        <p>© The Author(s) 2026.</p>
      </sec>
	  <sec sec-type="supplementary-material">
        <title>Supplementary Materials</title>
        <supplementary-material content-type="local-data">
          <media xlink:href="microstructures6076-SupplementaryMaterials.pdf" mimetype="application/pdf">
            <caption>
              <p>Supplementary Materials</p>
            </caption>
          </media>
        </supplementary-material>
      </sec>
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