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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Phys.</journal-id>
<journal-title>Frontiers in Physics</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Phys.</abbrev-journal-title>
<issn pub-type="epub">2296-424X</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="publisher-id">853179</article-id>
<article-id pub-id-type="doi">10.3389/fphy.2022.853179</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Physics</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Sm-Eu Co-Doped BiFeO<sub>3</sub> Nanoparticles With Superabsorption and Electrochemical Oxygen Evolution Reaction</article-title>
<alt-title alt-title-type="left-running-head">Gu et&#x20;al.</alt-title>
<alt-title alt-title-type="right-running-head">Oxygen Evolution Reaction of BiFeO<sub>3</sub>
</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname>Gu</surname>
<given-names>Yanhong</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1163817/overview"/>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Huang</surname>
<given-names>Niu</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Guo</surname>
<given-names>Chaoyang</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1657417/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Liang</surname>
<given-names>Yuanxi</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Zhang</surname>
<given-names>Weiying</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1246293/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Zhao</surname>
<given-names>Jianguo</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1246306/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Zhang</surname>
<given-names>Xianghui</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/935720/overview"/>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Jia</surname>
<given-names>Hong</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1163857/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Chen</surname>
<given-names>Wanping</given-names>
</name>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
</contrib>
</contrib-group>
<aff id="aff1">
<sup>1</sup>
<institution>School of Physics and Electronic Information and Key Lab Electromagnet Transformation and Detect Henan</institution>, <institution>Luoyang Normal College</institution>, <addr-line>Luoyang</addr-line>, <country>China</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>Key Laboratory of Inorganic Nonmetallic Crystalline and Energy Conversion Materials</institution>, <institution>College of Materials and Chemical Engineering</institution>, <institution>China Three Gorges University</institution>, <addr-line>Yichang</addr-line>, <country>China</country>
</aff>
<aff id="aff3">
<sup>3</sup>
<institution>Key Laboratory of Artificial Micro- and Nano-Structures of Ministry of Education and School of Physics and Technology</institution>, <institution>Wuhan University</institution>, <addr-line>Wuhan</addr-line>, <country>China</country>
</aff>
<author-notes>
<fn fn-type="edited-by">
<p>
<bold>Edited by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/445227/overview">Sugata Chowdhury</ext-link>, National Institute of Standards and Technology (NIST), United&#x20;States</p>
</fn>
<fn fn-type="edited-by">
<p>
<bold>Reviewed by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1637842/overview">Rahul Kumar</ext-link>, Indian Institute of Technology Delhi, India</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/114582/overview">Khian-Hooi Chew</ext-link>, University of Malaya, Malaysia</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: Niu Huang, <email>huangliu.ysxf@163.com</email>; Hong Jia, <email>jiahong517@aliyun.com</email>
</corresp>
<fn fn-type="other">
<p>This article was submitted to Physical Chemistry and Chemical Physics, a section of the journal Frontiers in Physics</p>
</fn>
</author-notes>
<pub-date pub-type="epub">
<day>03</day>
<month>03</month>
<year>2022</year>
</pub-date>
<pub-date pub-type="collection">
<year>2022</year>
</pub-date>
<volume>10</volume>
<elocation-id>853179</elocation-id>
<history>
<date date-type="received">
<day>12</day>
<month>01</month>
<year>2022</year>
</date>
<date date-type="accepted">
<day>02</day>
<month>02</month>
<year>2022</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2022 Gu, Huang, Guo, Liang, Zhang, Zhao, Zhang, Jia and Chen.</copyright-statement>
<copyright-year>2022</copyright-year>
<copyright-holder>Gu, Huang, Guo, Liang, Zhang, Zhao, Zhang, Jia and Chen</copyright-holder>
<license xlink:href="http://creativecommons.org/licenses/by/4.0/">
<p>This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these&#x20;terms.</p>
</license>
</permissions>
<abstract>
<p>Bi<sub>0.95</sub>Sm<sub>0.05</sub>Fe<sub>1&#x2212;<italic>x</italic>
</sub>Eu<sub>
<italic>x</italic>
</sub>O<sub>3</sub> (<italic>x</italic>&#x20;&#x3d; 0, 0.05, 0.10, 0.15) nanoparticles were prepared via a two-solvent sol&#x2013;gel method. The X-ray diffraction (XRD) and Raman results suggested that the main phase of the samples gradually evolved from perovskite phase <italic>R</italic>3<italic>c</italic> to orthorhombic phase <italic>Pbnm</italic> with increasing Eu content and that the optical band gap gradually narrowed from 2.09 to 1.70&#xa0;eV. Along with the structural change, the ferromagnetic properties were transformed, and interesting double hysteresis loops were observed for the sample where <italic>x</italic>&#x20;&#x3d; 0.1. All the bismuth ferrite (BFO) samples demonstrated extremely strong adsorbability, with the adsorption rate of refractory methyl orange reaching 90% in 5&#xa0;min. These samples also exhibited superior oxygen evolution reaction (OER) performance, with a desirable onset potential of approximately 1.50&#xa0;V vs. RHE. For the sample where <italic>x</italic>&#x20;&#x3d; 0.15, to support a current density of 100&#xa0;mA/cm<sup>2</sup>, an overpotential of only 294&#xa0;mV was required, which is much better than that of pure Ni foam (330&#xa0;mV). More experiments are needed to verify and explore the source and mechanism of the OER performance.</p>
</abstract>
<kwd-group>
<kwd>BiFeO<sub>3</sub>
</kwd>
<kwd>energy gap</kwd>
<kwd>ferromagnetism</kwd>
<kwd>super absorption</kwd>
<kwd>oxygen evolution reaction (OER)</kwd>
</kwd-group>
</article-meta>
</front>
<body>
<sec id="s1">
<title>Introduction</title>
<p>In recent years, owing to the magnetoelectric coupling effect, multiferroic materials have been widely applied in the fields of information storage, electronic devices, and sensors, and thus they have attracted extensive attention from researchers worldwide. Bismuth ferrite (BiFeO<sub>3</sub>, or BFO) stands out among multiferroic material because of its ferromagnetism and ferroelectricity at room temperature [<xref ref-type="bibr" rid="B1">1</xref>, <xref ref-type="bibr" rid="B2">2</xref>]. BFO can also be used as a photocatalyst to degrade organic pollutants and decompose water because it is a semiconductor material with a narrow band gap (2.2&#xa0;eV) and excellent chemical stability [<xref ref-type="bibr" rid="B3">3</xref>,&#x20;<xref ref-type="bibr" rid="B4">4</xref>].</p>
<p>At present, there are two popular ways to decompose water: photocatalytic decomposition and electrocatalytic decomposition. The electrocatalytic decomposition of water involves two reactions: the anodic oxygen evolution reaction (OER) and the cathodic hydrogen evolution reaction (HER), both of which are related to electrocatalysts. OER is the key reaction in energy storage processes, such as water cracking and metal&#x2013;air batteries [<xref ref-type="bibr" rid="B5">5</xref>]. However, it is difficult to carry out because it involves four proton-coupled electron transfer processes, and so it requires a very high overpotential to complete the process [<xref ref-type="bibr" rid="B6">6</xref>]. At present, IRO<sub>
<italic>x</italic>
</sub>/RuO<sub>
<italic>x</italic>
</sub> and Pt/C are the benchmark electrocatalysts for OER and HER, respectively. Although these electrocatalysts exhibit high electrocatalytic activity and kinetics, their high cost, scarcity, and unsatisfactory electrochemical stability prevent them from being widely used. In recent years, many efforts have been made to design low-cost, high-catalytic, stable, and environmentally friendly non-noble metal or carbon-based electrocatalysts. Perovskite oxides (ABO<sub>3</sub>&#x2212;&#x3b4;) have been widely studied as electrocatalysts owing to their composition and structural flexibility [<xref ref-type="bibr" rid="B7">7</xref>&#x2013;<xref ref-type="bibr" rid="B10">10</xref>]. Perovskite oxides (ABO<sub>3</sub>) also have a variety of structures and physical and chemical properties, which have attracted considerable interest for use in OER. The perovskite oxide BFO is a multiferroic functional material, as well as a ferroelectric semiconductor that facilitates the separation of electrons and holes, and thus BFO is increasingly being investigated for applications in solar energy conversion and for designing desired electrocatalysts.</p>
<p>BFO has made many representative achievements in catalytic performance and energy storage of fuel cells [<xref ref-type="bibr" rid="B11">11</xref>&#x2013;<xref ref-type="bibr" rid="B13">13</xref>]. The application and development of BFO as a supercapacitor has also achieved a lot of fruitful work [<xref ref-type="bibr" rid="B14">14</xref>&#x2013;<xref ref-type="bibr" rid="B18">18</xref>]. Bi<sub>0.15</sub>Sr<sub>0.85</sub>Co<sub>0.8</sub>Fe<sub>0.2</sub>O<sub>3-&#x3b4;</sub> presents a low OER overpotential (354&#xa0;mV at 10&#xa0;mA&#xa0;cm<sup>&#x2212;2</sup>) and good reaction kinetics for both OER and ORR (94.21&#xa0;mV dec<sup>&#x2212;1</sup> and 72.5&#xa0;mV dec<sup>&#x2212;1</sup>, respectively) [<xref ref-type="bibr" rid="B19">19</xref>]. The current density for the OER of Bi<sub>0.6</sub>Ca<sub>0.4</sub>FeO<sub>3</sub> showed a significantly high value of 6.93&#xa0;mA/cm<sup>2</sup> at a fixed overpotential of 0.42&#xa0;V (1.65&#xa0;V vs. RHE) [<xref ref-type="bibr" rid="B20">20</xref>]. A 15% Ca-doped Bi<sub>0.85</sub>Ca<sub>0.15</sub>FeO<sub>3</sub> catalyst showed an increased kinetic current density of 54.562&#xa0;mA/cm<sup>2</sup> at an onset potential of 2.122 (V vs. RHE) with an overpotential of 0.892&#xa0;V in an alkaline electrolyte [<xref ref-type="bibr" rid="B21">21</xref>]. All of these tests are performed on glassy carbon, but surface chemistry is an important prerequisite for advanced water electrolysis. The excellent specific surface area of nickel foam has not been fully utilized to demonstrate the OER performance of BFO. The porous structure of the Ni foam can expose more active sites of the material.</p>
<p>In this work, Sm and Eu are chosen for co-doping into the BFO host materials. Because Sm doped BiFeO<sub>3</sub> can improve magnetic and electric properties [<xref ref-type="bibr" rid="B12">12</xref>]. Eu substitution for the Fe-site is expected to modulate structure and band gap width to a greater extent resulting in a good water decomposition and electrocatalytic performance [<xref ref-type="bibr" rid="B22">22</xref>, <xref ref-type="bibr" rid="B23">23</xref>]. Herein, we report a simple and feasible method for the fabrication of perovskite BiFeO<sub>3</sub> photoanodes. Sm and Eu co-doped BiFeO<sub>3</sub> nanoparticles were fabricated by a double sol&#x2013;gel method. With increasing Eu content, the BFO structure changed from perovskite to orthorhombic, as demonstrated by both X-ray diffraction (XRD) and Raman patterns. Interestingly, the Sm and 15% Eu co-doped BiFeO<sub>3</sub> had a strong adsorption performance, and the adsorption rate of methyl orange reached 95% in 5&#xa0;min. The electrocatalytic performance was also superior, such that at an onset potential of 1.48&#xa0;V vs. RHE, the overpotential was merely 294 and 310&#xa0;mV to support current densities of 100&#xa0;mA/cm<sup>2</sup> and 400&#xa0;mA/cm<sup>2</sup>, respectively. BFO is a multifunctional composite material. It is therefore hoped that the electrochemical properties of BFO can be further studied using its ferroelectric and ferromagnetic properties.</p>
</sec>
<sec id="s2">
<title>Experimental</title>
<sec id="s2-1">
<title>Synthesis of Sm and Eu Co-Doped BiFeO<sub>3</sub>
</title>
<p>BiFeO<sub>3</sub> and Bi0<sub>.95</sub>Sm<sub>0.05</sub>Fe<sub>1&#x2212;<italic>x</italic>
</sub>Eu<sub>
<italic>x</italic>
</sub>O<sub>3</sub> (BSFEO) (<italic>x</italic>&#x20;&#x3d; 0.0, 0.05, 0.10, 0.15) nanoparticles, denoted as BFO, BSFO, BSFO&#x2013;5Eu, BSFO&#x2013;10Eu, and BSFO&#x2013;15Eu, respectively, were synthesized by the double-solvent sol&#x2013;gel method. Bi(NO<sub>3</sub>)<sub>3</sub>&#xb7;5H<sub>2</sub>O (99% pure) and Sm(NO<sub>3</sub>)<sub>3</sub>&#xb7;6H<sub>2</sub>O (99.9% pure) were mixed stoichiometrically, dissolved in ethylene glycol (C<sub>2</sub>H<sub>6</sub>O<sub>2</sub>), and stirred for 90&#xa0;min at room temperature (RT). Fe(NO<sub>3</sub>)<sub>3</sub>&#xb7;9H<sub>2</sub>O (98.5% pure) and Eu(NO<sub>3</sub>)<sub>3</sub>&#xb7;6H<sub>2</sub>O (98.5% pure) powders were dissolved in acetic acid and magnetically stirred for 1.5&#xa0;h. Subsequently, the two solutions were mixed and stirred continuously for 3&#xa0;h, resulting in a homogeneous, reddish-brown, and fine precursor solution (0.4&#xa0;M). Because of the bismuth loss during heating, an excess of 3% bismuth was added to the solution to compensate. To maintain the electronegativity of the iron and bismuth during the chemical reactions, ethylene glycol was added as a solvent. In the synthesis process, acetic acid was used as a catalyst to control the chemical reaction and maintain the concentration of the solution. The prepared solution was dried in an oven at 80&#xb0;C for a few days to obtain a gel, which was then ground into a fine powder and calcined in an oven at 600&#xb0;C for 3&#xa0;h to remove the organic matter. Subsequently, it was ground again and cleaned with dilute nitric acid. The BSFEO samples were prepared after a few hours of drying.</p>
</sec>
<sec id="s2-2">
<title>Materials Characterization</title>
<p>XRD and Raman scattering spectroscopy were used to characterize the structures of the samples. Scanning electron microscopy (SEM) was used to determine the morphology and granularity of the prepared samples. The ultraviolet-visible (UV-vis) diffuse reflectance spectra of the prepared samples were studied using a UV-vis spectrophotometer, and the band gap width was studied. The ferromagnetic properties of the samples in the magnetic field range of &#x2212;20 to 20,000&#xa0;KOe were investigated using a vibrating sample magnetometer (VSM) at RT. The N<sub>2</sub> adsorption&#x2013;desorption isotherms were measured using an ASAP 2020 Plus HD88 gas adsorption and porosity meter at a liquid nitrogen temperature of &#x2212;196&#xb0;C. Before the experiment, the sample was degassed at 140&#xb0;C for 3&#xa0;h. The Barrett&#x2013;Joyner&#x2013;Halenda (BJH) method was used to obtain the distribution curve of the pore size. All electrochemical measurements were conducted using an electrochemical workstation (CHI760E, Chenhua).</p>
</sec>
<sec id="s2-3">
<title>OER Characterization</title>
<p>The catalyst ink was prepared by dissolving 5&#xa0;mg of catalyst in 1.96&#xa0;ml of deionized water and ethyl alcohol in a volume ratio of 1:1, after which 40&#xa0;&#x3bc;l of Nafion<sup>&#xae;</sup> was added. The mixture was sonicated for 30&#xa0;min to form a homogenous ink. Next, 0.4&#xa0;ml of ink was dropped onto the surface of Ni foam (NF, with surface area of 1&#xa0;cm<sup>2</sup>). After drying naturally at RT, the BSFEO/NF series were prepared. The electrochemical OER was carried out using a three-electrode system on an electrochemical workstation (CHI760E) with a catalyst coated on glassy carbon (GC) or NF as the working electrode, carbon rods, and saturated Hg/HGO electrodes as the counter and reference electrodes, respectively. OER tests were performed in an O<sub>2</sub>-saturated 1&#xa0;M KOH electrolyte at RT at a scanning rate of 5&#xa0;mV/s. Infrared compensation was applied for calibration in the linear sweep voltammetry (LSV) tests, and a reversible hydrogen electrode (RHE) was used to adjust the working potential.</p>
</sec>
</sec>
<sec sec-type="results|discussion" id="s3">
<title>Results and Discussion</title>
<p>
<xref ref-type="fig" rid="F1">Figure&#x20;1</xref> shows the XRD patterns of the Bi<sub>0.95</sub>Sm<sub>0.05</sub>Fe<sub>1&#x2212;<italic>x</italic>
</sub>Eu<sub>
<italic>x</italic>
</sub>O<sub>3</sub> (<italic>x</italic>&#x20;&#x3d; 0.0, 0.05, 0.10, 0.15) nanoparticles and the distorted rhombohedral structures with an <italic>R</italic>3<italic>c</italic> space group. The doubly split peaks of BFO in the 2&#x3b8; range of 31&#x2013;33&#xb0; merge to a single peak upon doping with Eu, and two smaller peaks formed on each side, which became higher as the doping proportion increased. These analyses indicate that the crystallinity of the BFO powder was considerably affected by doping with Eu. In addition, at <italic>x</italic>&#x20;&#x3d; 0.15 and 0.2, the diffraction peaks in the 2&#x3b8; range of 38&#x2013;40&#xb0; split, and there were some changes in other peaks. Previous research has shown that an orthorhombic structure can be transformed during element substitution [<xref ref-type="bibr" rid="B24">24</xref>, <xref ref-type="bibr" rid="B25">25</xref>], thus the unit-cell symmetry of BSFEO shifted from <italic>R</italic>3<italic>c</italic> to <italic>Pbnm</italic> with increasing Eu content.</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>XRD patterns of the Bi<sub>0.95</sub>Sm<sub>0.05</sub>Fe<sub>1&#x2212;<italic>x</italic>
</sub>Eu<sub>
<italic>x</italic>
</sub>O<sub>3</sub> (<italic>x</italic>&#x20;&#x3d; 0.0, 0.05, 0.10, 0.15) ceramic samples, with enlarged views of the (104) and (110) diffraction peaks near the diffraction angle 2&#x3b8; &#x3d; 32&#xb0;.</p>
</caption>
<graphic xlink:href="fphy-10-853179-g001.tif"/>
</fig>
<p>For a more detailed view of the structural changes, the Raman spectra, which confirm the XRD results, are shown in <xref ref-type="fig" rid="F2">Figure&#x20;2</xref>. It is well known that perovskite BFO has nine vibration modes, namely, four strong peaks (A<sub>1</sub>-1, A<sub>1</sub>-2, A<sub>1</sub>-3, and A<sub>1</sub>-4 modes) and six weak peaks (E-2, E-3, E-4, E-5, E-6, and E-7 modes) [<xref ref-type="bibr" rid="B26">26</xref>]. It is obvious from the Raman results that with the addition of Eu, the peak of the main vibration mode of the perovskite structure gradually weakened. In contrast, a new mode at 310&#xa0;cm<sup>&#x2212;1</sup> became gradually more pronounced, which was caused by the A-site vibration and the oxygen sloping of the <italic>Pbnm</italic> orthorhombic structure [<xref ref-type="bibr" rid="B26">26</xref>, <xref ref-type="bibr" rid="B27">27</xref>]. The Raman results again proved that the Sm and Eu co-doped BFO system evolved from an <italic>R</italic>3<italic>c</italic> to a <italic>Pbnm</italic> structure. It is noted that for BSFEO nanoparticles with doping contents of 0.10 and 0.15, the peak at 310&#xa0;cm<sup>&#x2212;1</sup> was very pronounced.</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>Raman spectra as a function of Eu composition.</p>
</caption>
<graphic xlink:href="fphy-10-853179-g002.tif"/>
</fig>
<p>To fully understand the properties and morphological characteristics of the Eu and Sm co-doped BFO nanoparticles, SEM images of BSFEO powders with various doping contents are shown in <xref ref-type="fig" rid="F3">Figure&#x20;3</xref>. It can be seen that the characteristics of agglomeration and surface structure are becoming more conspicuous and homogeneous with increasing Eu substitution concentration. Upon further increasing the Eu content, the grain size of the samples continued to increase. The average grain size increased from 30 to 50&#xa0;&#x3bc;m at <italic>x</italic>&#x20;&#x3d; 0 to 50&#x2013;70&#xa0;&#x3bc;m at <italic>x</italic>&#x20;&#x3d; 0.15. More importantly, the distance between the particles decreased with increasing doping content. The excellent magnetic properties of BFO are related to its surface structure. The tighter the BFO lattice system, the more difficult it is for the O and Bi elements to escape. The elevation in the potential magnetic properties of BFO can be explained by the reduction in the number of oxygen vacancies and the helical structure owing to the dense surface structure. TEM image of BSFO&#x2013;15Eu nanoparticles are shown in <xref ref-type="fig" rid="F3">Figures 3E,F</xref>. It is evident from TEM images that the crystallinity of the sample was very good and clear diffraction spots can be seen, and the diffraction patterns of these spots agree well with the orthorhombic phase Pbnm of BFO, which is also consistent with the XRD results. The axial direction of the diffraction spot is <inline-formula id="inf1">
<mml:math id="m1">
<mml:mrow>
<mml:mrow>
<mml:mo>[</mml:mo>
<mml:mrow>
<mml:mrow>
<mml:mover accent="true">
<mml:mn>1</mml:mn>
<mml:mo>&#xaf;</mml:mo>
</mml:mover>
</mml:mrow>
<mml:mo>&#xa0;</mml:mo>
<mml:mn>00</mml:mn>
</mml:mrow>
<mml:mo>]</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula>.</p>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption>
<p>SEM images of BSFO powders doped with Eu at ratios of <bold>(A)</bold> 0.0, <bold>(B)</bold> 0.05, <bold>(C)</bold> 0.10, and <bold>(D)</bold> 0.15. TEM images of BSFO&#x2013;15Eu nanoparticles <bold>(E)</bold>, and <bold>(F)</bold> shows the SAED of BSFO&#x2013;15Eu nanoparticles and the belt axis is [1 &#x305;00].</p>
</caption>
<graphic xlink:href="fphy-10-853179-g003.tif"/>
</fig>
<p>
<xref ref-type="fig" rid="F4">Figure&#x20;4</xref> shows the UV-vis peaks of BSFEO nanoparticles with various doping contents. It is clear that a spectrum shift occurred when BSFO was doped with Eu, which increased the band gap. According to the data in <xref ref-type="table" rid="T1">Table&#x20;1</xref>, the cut-off absorption wavelength of BSFEO nanoparticles in this experiment was approximately 1.90&#xa0;nm and the minimum was 1.80&#xa0;eV. By comparing the data, it was found that as the doping ratio increased, the band gap width decreased. This increase in band gap may result in improved magnetic and electrocatalytic performance of the BSFEO nanoparticles. Our results indicate that the BSFEO band gap can be tuned by increasing the doping ratio to increase the range of electrocatalytic and magnetic properties.</p>
<fig id="F4" position="float">
<label>FIGURE 4</label>
<caption>
<p>
<bold>(A)</bold> UV-vis diffuse reflectance spectrum of the BSFO, BSFO&#x2013;5Eu, BSFO&#x2013;10Eu, and BSFO&#x2013;15Eu nanoparticles, <bold>(B)</bold> the calculation of band&#x20;gap.</p>
</caption>
<graphic xlink:href="fphy-10-853179-g004.tif"/>
</fig>
<table-wrap id="T1" position="float">
<label>TABLE 1</label>
<caption>
<p>The band gap width of BSFEO.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Doping content</th>
<th align="center">&#x3bb;/nm</th>
<th align="center">E<sub>g</sub>/eV</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">0</td>
<td align="center">600</td>
<td align="char" char=".">2.07</td>
</tr>
<tr>
<td align="left">BSFO-5Eu</td>
<td align="center">652</td>
<td align="char" char=".">1.90</td>
</tr>
<tr>
<td align="left">BSFO-10Eu</td>
<td align="center">689</td>
<td align="char" char=".">1.80</td>
</tr>
<tr>
<td align="left">BSFO-15Eu</td>
<td align="center">675</td>
<td align="char" char=".">1.84</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>As an important structural parameter, the surface area may affect the OER. The specific surface areas of the prepared samples were determined by N<sub>2</sub> adsorption&#x2013;desorption isotherms. The isotherms and pore-size distribution curves of the BSFO-5Eu, BSFO-10Eu, and BSFO-15Eu samples are shown in <xref ref-type="fig" rid="F5">Figure&#x20;5</xref>. The Brunauer&#x2013;Emmett&#x2013;Teller (BET) results demonstrated that the specific surface areas for the powder samples were 2.47, 3.26, and 0.90&#xa0;m<sup>2</sup>/g for the BSFO&#x2013;5Eu, BSFO&#x2013;10Eu, and BSFO&#x2013;15Eu samples, respectively, indicating that the surface area did not directly affect the OER performance. It therefore seems that the specific surface area did not play a decisive role in OER. However, the average pore size of the three samples were 6.8, 24, and 31&#xa0;nm for the BSFO&#x2013;5Eu, BSFO&#x2013;10Eu, and BSFO&#x2013;15Eu samples. Generally speaking, large pores are conducive to the transmission of media in the absence of stirring. The larger the pore, the more conducive to mass transfer results in the improvement of OER performance in electrocatalysis.</p>
<fig id="F5" position="float">
<label>FIGURE 5</label>
<caption>
<p>N<sub>2</sub> adsorption&#x2013;desorption isotherms and the corresponding pore-size distribution curves (inset) of the as-prepared samples: <bold>(A)</bold> BSFO-5Eu, <bold>(B)</bold> BSFO-10Eu, and <bold>(C)</bold> BSFO-15Eu. <bold>(D)</bold> Adsorption effect of methyl orange of BSFO-5Eu.</p>
</caption>
<graphic xlink:href="fphy-10-853179-g005.tif"/>
</fig>
<p>The OER performance of the Sm and Eu co-doped BFO series was measured via LSV. As shown in <xref ref-type="fig" rid="F6">Figure&#x20;6A</xref>, the BSFEO samples all exhibited favorable electrocatalytic activity toward OER superior to that of NF. It is worth noting that the onset potential was small at 1.46&#xa0;V vs. RHE (<xref ref-type="fig" rid="F6">Figure&#x20;6A</xref>). To achieve a current density of 100&#xa0;mA&#xa0;cm<sup>2</sup>, the corresponding overpotentials were 295, 306, 322, and 332&#xa0;mV for BSFO&#x2013;15Eu, BSFO&#x2013;10Eu, BSFO&#x2013;5Eu and NF, respectively. To achieve a current density of 400&#xa0;mA&#xa0;cm<sup>2</sup>, the corresponding required overpotentials were 316, 328, 352, and 366&#xa0;mV for BSFO&#x2013;15Eu, BSFO&#x2013;10Eu, BSFO&#x2013;5Eu, and NF, respectively. <xref ref-type="fig" rid="F6">Figure&#x20;6B</xref> shows the corresponding Tafel plots, wherein all BSFEO samples exhibit fast OER kinetics with extremely small Tafel slopes. In particular, the slope of BSFO&#x2013;15Eu is 38&#xa0;mV dec<sup>&#x2212;1</sup> and relatively small, indicating that its OER dynamic process was the fastest and most powerful. Detailed data on OER are shown in <xref ref-type="table" rid="T2">Table&#x20;2</xref>. These results suggest that BSFEO possesses excellent OER performance, comparable to those of LaCoO<sub>3</sub> series [<xref ref-type="bibr" rid="B8">8</xref>, <xref ref-type="bibr" rid="B10">10</xref>], Ba<sub>0.5</sub>Sr<sub>0.5</sub>Co<sub>0.8</sub>Fe<sub>0.2</sub>O<sub>3-&#x3b4;</sub> [<xref ref-type="bibr" rid="B28">28</xref>], NiFe-LDH [<xref ref-type="bibr" rid="B29">29</xref>], NiCo<sub>2</sub>O<sub>4</sub> [<xref ref-type="bibr" rid="B30">30</xref>], Mn<sub>3</sub>N<sub>2</sub> [<xref ref-type="bibr" rid="B31">31</xref>], CoFe<sub>2</sub>O<sub>4</sub> [<xref ref-type="bibr" rid="B32">32</xref>] and CoFe-LDH [<xref ref-type="bibr" rid="B33">33</xref>] nanosheets, as shown in <xref ref-type="table" rid="T3">Table&#x20;3</xref>.</p>
<fig id="F6" position="float">
<label>FIGURE 6</label>
<caption>
<p>
<bold>(A)</bold> Polarization curves and <bold>(B)</bold> corresponding Tafel plots of NF and Bi<sub>0.95</sub>Sm<sub>0.05</sub>Fe<sub>1&#x2212;<italic>x</italic>
</sub>Eu<sub>
<italic>x</italic>
</sub>O<sub>3</sub> (<italic>x</italic>&#x20;&#x3d; 0.05, 0.10, 0.15) samples deposited on NFs, with their digital photos inserted in <bold>(A)</bold>.</p>
</caption>
<graphic xlink:href="fphy-10-853179-g006.tif"/>
</fig>
<table-wrap id="T2" position="float">
<label>TABLE 2</label>
<caption>
<p>OER performances of NF and BSFEO coated on NFs.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Sample</th>
<th align="center">Onset potential (V vs. RHE)</th>
<th align="center">
<italic>&#x3b7;</italic>
<sub>j</sub>&#x20;&#x3d;&#x20;10&#xa0;mA&#xa0;cm<sup>&#x2212;2</sup> (mV)</th>
<th align="center">
<italic>&#x3b7;</italic>
<sub>j</sub>&#x20;&#x3d;&#x20;100&#xa0;mA&#xa0;cm<sup>&#x2212;2</sup> (mV)</th>
<th align="center">
<italic>&#x3b7;</italic>
<sub>j</sub>&#x20;&#x3d;&#x20;400&#xa0;mA&#xa0;cm<sup>&#x2212;2</sup> (mV)</th>
<th align="center">Tafel slope (mV dec<sup>&#x2212;1</sup>)</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">NF</td>
<td align="char" char=".">1.48</td>
<td align="center">282</td>
<td align="center">332</td>
<td align="center">366</td>
<td align="char" char=".">52</td>
</tr>
<tr>
<td align="left">BSFO-5Eu</td>
<td align="char" char=".">1.47</td>
<td align="center">276</td>
<td align="center">322</td>
<td align="center">352</td>
<td align="char" char=".">43.4</td>
</tr>
<tr>
<td align="left">BSFO-10Eu</td>
<td align="char" char=".">1.47</td>
<td align="center">262</td>
<td align="center">306</td>
<td align="center">328</td>
<td align="char" char=".">42</td>
</tr>
<tr>
<td align="left">BSFO-15Eu</td>
<td align="char" char=".">1.46</td>
<td align="center">254</td>
<td align="center">295</td>
<td align="center">316</td>
<td align="char" char=".">38</td>
</tr>
</tbody>
</table>
</table-wrap>
<table-wrap id="T3" position="float">
<label>TABLE 3</label>
<caption>
<p>Comparison of OER activity for different.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Catalyst</th>
<th align="center">Electrolytes</th>
<th align="center">
<italic>&#x3b7;</italic>
<sub>j</sub>&#x20;&#x3d;&#x20;10&#xa0;mA&#xa0;cm<sup>&#x2212;2</sup> (mV)</th>
<th align="center">Tafel slope (mV dec<sup>&#x2212;1</sup>)</th>
<th align="center">Substrate</th>
<th align="center">Reference</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">BiSm<sub>0.05</sub>Eu<sub>0.15</sub>FeO<sub>3</sub>
</td>
<td align="center">1.0&#xa0;m KOH</td>
<td align="center">254</td>
<td align="center">38</td>
<td align="left">Ni foam</td>
<td align="left">This work</td>
</tr>
<tr>
<td align="left">LaCoO<sub>3</sub>-80&#xa0;nm</td>
<td align="center">1.0&#xa0;m KOH</td>
<td align="center">490</td>
<td align="center">69</td>
<td align="left">GCE</td>
<td align="center">[<xref ref-type="bibr" rid="B8">8</xref>]</td>
</tr>
<tr>
<td align="left">Ba<sub>0.5</sub>Sr<sub>0.5</sub>Co<sub>0.8</sub>Fe<sub>0.2</sub>O<sub>3</sub>
</td>
<td align="center">1.0&#xa0;m KOH</td>
<td align="center">500</td>
<td align="center">94</td>
<td align="left">GCE</td>
<td align="center">[<xref ref-type="bibr" rid="B17">17</xref>]</td>
</tr>
<tr>
<td align="left">SrNb<sub>0.1</sub>Co<sub>0.7</sub>Fe<sub>0.2</sub>O<sub>3</sub>
</td>
<td align="center">1.0&#xa0;m KOH</td>
<td align="center">500</td>
<td align="center">76</td>
<td align="left">GCE</td>
<td align="center">[<xref ref-type="bibr" rid="B17">17</xref>]</td>
</tr>
<tr>
<td align="left">NiFe LDH@NiCoP</td>
<td align="center">1.0&#xa0;m KOH</td>
<td align="center">220</td>
<td align="center">48.6</td>
<td align="left">Ni foam</td>
<td align="center">[<xref ref-type="bibr" rid="B18">18</xref>]</td>
</tr>
<tr>
<td align="left">NiCo<sub>2</sub>O<sub>4</sub> NPs</td>
<td align="center">1.0&#xa0;m KOH</td>
<td align="center">240</td>
<td align="center">50</td>
<td align="left">Ni foam</td>
<td align="center">[<xref ref-type="bibr" rid="B19">19</xref>]</td>
</tr>
<tr>
<td align="left">Mn<sub>3</sub>N<sub>2</sub>
</td>
<td align="center">1.0&#xa0;m KOH</td>
<td align="center">270</td>
<td align="center">101</td>
<td align="left">Ni foam</td>
<td align="center">[<xref ref-type="bibr" rid="B20">20</xref>]</td>
</tr>
<tr>
<td align="left">CoFe<sub>2</sub>O<sub>4</sub> nanorod array</td>
<td align="center">1.0&#xa0;m KOH</td>
<td align="center">240</td>
<td align="center">45</td>
<td align="left">Ni foam</td>
<td align="center">[<xref ref-type="bibr" rid="B21">21</xref>]</td>
</tr>
<tr>
<td align="left">CoFe LDHs nanosheets</td>
<td align="center">1.0&#xa0;m KOH</td>
<td align="center">232</td>
<td align="center">36</td>
<td align="left">Ni foam</td>
<td align="center">[<xref ref-type="bibr" rid="B22">22</xref>]</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>There are two theories about the OER origin of perovskite ABO3. One is that an oxygen vacancy is the active site, and the other is B-site transition metal ions. In our system, because both Sm and Eu elements are trivalent, there is no tendency to introduce oxygen vacancies according to the principle of defect chemical equilibrium. In other words, all samples contain the same amount of oxygen vacancies. Therefore, the transition metal at the B site serves as the active site in our system, and it can be seen from the above experimental results that Eu or Fe is the active site. The specific OER reaction process is as follows:<disp-formula id="equ1">
<mml:math id="m2">
<mml:mrow>
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<mml:mn>2</mml:mn>
</mml:msub>
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<mml:msup>
<mml:mi mathvariant="normal">e</mml:mi>
<mml:mo>&#x2212;</mml:mo>
</mml:msup>
</mml:mrow>
</mml:mtd>
</mml:mtr>
<mml:mtr>
<mml:mtd>
<mml:mrow>
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<mml:mi mathvariant="normal">O</mml:mi>
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<mml:mo>&#x2b;</mml:mo>
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<mml:msup>
<mml:mi mathvariant="normal">H</mml:mi>
<mml:mo>&#x2212;</mml:mo>
</mml:msup>
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<mml:msub>
<mml:mi mathvariant="normal">O</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi mathvariant="normal">H</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
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<mml:mo>&#x2b;</mml:mo>
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</mml:mrow>
</mml:mtd>
</mml:mtr>
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</mml:mrow>
</mml:math>
</disp-formula>
</p>
<p>The magnetic hysteresis (M-H) loops of the samples are shown in <xref ref-type="fig" rid="F7">Figure&#x20;7</xref>, where both the remanent magnetization (<italic>M</italic>
<sub>
<italic>r</italic>
</sub>) and saturation magnetization (<italic>M</italic>
<sub>
<italic>s</italic>
</sub>) increased significantly with increasing Eu substitution content. The values of <italic>M</italic>
<sub>
<italic>s</italic>
</sub> for BSFO&#x2013;5Eu, BSFO&#x2013;10Eu, and BSFO&#x2013;15Eu were 0.29, 0.31, and 0.308&#xa0;emu/g, respectively. The values of <italic>M</italic>
<sub>
<italic>r</italic>
</sub> for BSFO, BSFO&#x2013;5Eu, BSFO&#x2013;10Eu, and BSFO&#x2013;15Eu were 0.004, 0.021, and 0.0256&#xa0;emu/g, respectively. This comes from the substitution-driven modification of the spiral G-type antiferromagnetic ordering, which is characteristic of BFO, to the collinear G-type antiferromagnetic structure, in which the canted component of the antiferromagnetically ordered spins becomes measurable. That is to say, this enhancement of the ferromagnetism was attributed to the structural distortion, which modulates the canted spin structure and change the Fe&#x2013;O&#x2013;Fe angle. It was expected that this structural distortion could lead to suppression of the spin spiral and hence enhanced the magnetization&#x20;[<xref ref-type="bibr" rid="B12">12</xref>].</p>
<fig id="F7" position="float">
<label>FIGURE 7</label>
<caption>
<p>Magnetic hysteresis loops of the nanoparticles at RT: <bold>(A)</bold> BSFO&#x2013;5Eu, <bold>(B)</bold> BSFO&#x2013;10Eu, and <bold>(C)</bold> BSFO&#x2013;15Eu. <bold>(D)</bold> Eu-substituted concentration dependencies of <italic>M</italic>
<sub>
<italic>r</italic>
</sub> and <italic>M</italic>
<sub>
<italic>s</italic>
</sub>.</p>
</caption>
<graphic xlink:href="fphy-10-853179-g007.tif"/>
</fig>
<p>Interestingly, double ferromagnetic hysteresis loops were observed in the Sm and Eu co-doped samples. In particular, the BSFO&#x2013;10Eu sample had the most obvious double ferromagnetic hysteresis loop, which is located at the coexistence phase of the <italic>R</italic>3<italic>C</italic> and <italic>Pnma</italic> phases. The double ferromagnetic hysteresis loop of BFO systems has rarely been reported or observed. In general, double hysteresis loops are caused by the coexistence of hard/permanent magnets and soft magnets or antiferromagnetic and ferromagnetic phases [<xref ref-type="bibr" rid="B34">34</xref>&#x2013;<xref ref-type="bibr" rid="B36">36</xref>]. In the Eu and Sm co-doped BFO system, the two different magnetic phases may be associated with the ferromagnetic <italic>Pnma</italic> phase and antiferromagnetic <italic>R</italic>3<italic>C</italic> phase. Increasing the response efficiency of OER using a magnetic field as a new regulatory approach has recently attracted widespread attention. Ren et&#x20;al. showed the spin-polarized kinetics of the OER [<xref ref-type="bibr" rid="B37">37</xref>,&#x20;<xref ref-type="bibr" rid="B38">38</xref>].</p>
</sec>
<sec sec-type="conclusion" id="s4">
<title>Conclusion</title>
<p>In summary, BSFEO powders with various doping contents were synthesized using sol&#x2013;gel technology. With increasing Eu content, the XRD spectra showed that the structure transitioned from the <italic>R</italic>3<italic>C</italic> phase to the <italic>Pnma</italic> phase. The diameters of the Eu-doped particles increased and the distances between them significantly decreased. The peak of the Raman spectra at 136&#xa0;cm<sup>&#x2212;1</sup> clearly decreased, and the peak at 310&#xa0;cm<sup>&#x2212;1</sup> significantly increased. The band gap width was in the range of 1.80&#x2013;2.07&#xa0;eV. A comparison of the data showed that the <italic>M</italic>
<sub>
<italic>s</italic>
</sub> and <italic>M</italic>
<sub>
<italic>r</italic>
</sub> values for the Eu-doped samples improved. Simultaneously, all the samples exhibited superior OER performance, with a desirable onset potential of approximately 1.50&#xa0;V vs. RHE. For the sample in which <italic>x</italic>&#x20;&#x3d; 0.15, to support a current density of 100&#xa0;mA/cm<sup>2</sup>, an overpotential of only 294&#xa0;mV was required, which is much better than that of pure NF (330&#xa0;mV). The reason and mechanism of OER performance are being systematically studied.</p>
</sec>
</body>
<back>
<sec id="s5">
<title>Data Availability Statement</title>
<p>The original contributions presented in the study are included in the article/Supplementary Material, further inquiries can be directed to the corresponding authors.</p>
</sec>
<sec id="s6">
<title>Author Contributions</title>
<p>CG and YL implementation of samples preparation; JZ and WZ implementation of resource and suggestion; WC implementation of modifying and editing.</p>
</sec>
<sec id="s7">
<title>Funding</title>
<p>This work was supported by the Program for Young Teachers of Higher School in Henan Province (2019GGJS197).</p>
</sec>
<sec sec-type="COI-statement" id="s8">
<title>Conflict of Interest</title>
<p>The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
</sec>
<sec sec-type="disclaimer" id="s9">
<title>Publisher&#x2019;s Note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
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<title>References</title>
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