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<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Energy Res.</journal-id>
<journal-title>Frontiers in Energy Research</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Energy Res.</abbrev-journal-title>
<issn pub-type="epub">2296-598X</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
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<article-meta>
<article-id pub-id-type="publisher-id">1478223</article-id>
<article-id pub-id-type="doi">10.3389/fenrg.2024.1478223</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Energy Research</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Investigation on corrosion and interface conductivity of TA1 under dynamic loads in proton exchange membrane water electrolyzer anodic environment</article-title>
<alt-title alt-title-type="left-running-head">Huang et al.</alt-title>
<alt-title alt-title-type="right-running-head">
<ext-link ext-link-type="uri" xlink:href="https://doi.org/10.3389/fenrg.2024.1478223">10.3389/fenrg.2024.1478223</ext-link>
</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" equal-contrib="yes">
<name>
<surname>Huang</surname>
<given-names>Yao</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="author-notes" rid="fn001">
<sup>&#x2020;</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2812226/overview"/>
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</contrib>
<contrib contrib-type="author" equal-contrib="yes">
<name>
<surname>Li</surname>
<given-names>Lin</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="author-notes" rid="fn001">
<sup>&#x2020;</sup>
</xref>
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</contrib>
<contrib contrib-type="author">
<name>
<surname>Yao</surname>
<given-names>Jizheng</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
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</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Zhang</surname>
<given-names>Gaoqun</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
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</contrib>
<contrib contrib-type="author">
<name>
<surname>Deng</surname>
<given-names>Zhanfeng</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
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</contrib>
<contrib contrib-type="author">
<name>
<surname>Zhang</surname>
<given-names>Bin</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
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<aff id="aff1">
<sup>1</sup>
<institution>Beijing Institute of Smart Energy</institution>, <addr-line>Beijing</addr-line>, <country>China</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>State Grid Shanxi Electric Power Research Institute</institution>, <addr-line>Taiyuan</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/2552243/overview">Vincenzo Liso</ext-link>, Aalborg University, Denmark</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/2682658/overview">Han Chen</ext-link>, Cambrex Corporation, United States</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1048231/overview">Tong Liu</ext-link>, Wuhan Institute of Technology, China</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: Gaoqun Zhang, <email>baobeigaoqun@163.com</email>
</corresp>
<fn fn-type="equal" id="fn001">
<label>
<sup>&#x2020;</sup>
</label>
<p>These authors have contributed equally to this work</p>
</fn>
</author-notes>
<pub-date pub-type="epub">
<day>19</day>
<month>11</month>
<year>2024</year>
</pub-date>
<pub-date pub-type="collection">
<year>2024</year>
</pub-date>
<volume>12</volume>
<elocation-id>1478223</elocation-id>
<history>
<date date-type="received">
<day>09</day>
<month>08</month>
<year>2024</year>
</date>
<date date-type="accepted">
<day>05</day>
<month>11</month>
<year>2024</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2024 Huang, Li, Yao, Zhang, Deng and Zhang.</copyright-statement>
<copyright-year>2024</copyright-year>
<copyright-holder>Huang, Li, Yao, Zhang, Deng and Zhang</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 terms.</p>
</license>
</permissions>
<abstract>
<p>In this paper, the electrochemical and corrosion behavior of pure titanium (TA1) in simulated Proton Exchange Membrane Water Electrolysis (PEMWE) anodic environment was investigated. In this condition, the corrosion potential of TA1 was &#x2212;689 mV, with a self-corrosion current density of 232.5 &#x3bc;A cm<sup>&#x2013;2</sup>, and a polarization resistance of 125.9 &#x3a9; cm<sup>2</sup>. During potentiostatic polarization at 2 V, the current density was maintained at approximately 6 mA cm<sup>&#x2013;2</sup>. However, the passivation process exhibited instability. Furthermore, this process has been shown to significantly facilitate the formation of surface oxides, and the passive film that formed displays the lowest bound water and OH<sup>&#x2212;</sup>, and the highest content of O<sup>2&#x2013;</sup>, exhibiting the highest average valence. Notably, dynamic potentials caused current transients, among which square wave potential was the most remarkable. The square wave potential shows an O<sup>2&#x2013;</sup> content just below that of 2V potential polarization when fluctuating potentials are applied. The interfacial contact resistance (ICR) of 2 V potentiostatic polarization was slightly higher than that of square, sine and triangular waves. Additionally, the high temperature condition of PEMWE will aggravate the corrosion of TA1 by fluoride ions.</p>
</abstract>
<kwd-group>
<kwd>PEMWE</kwd>
<kwd>dynamic loads</kwd>
<kwd>electrochemical</kwd>
<kwd>XPS</kwd>
<kwd>ICR</kwd>
</kwd-group>
<custom-meta-wrap>
<custom-meta>
<meta-name>section-at-acceptance</meta-name>
<meta-value>Hydrogen Storage and Production</meta-value>
</custom-meta>
</custom-meta-wrap>
</article-meta>
</front>
<body>
<sec id="s1">
<title>1 Introduction</title>
<p>Hydrogen energy, with a high energy density of 140 MJ/kg, is a breakthrough technology for the future energy revolution (<xref ref-type="bibr" rid="B2">Arsad et al., 2023</xref>). The use of renewable energy for hydrogen production has the potential to play a significant role in replacing traditional fossil fuels, accelerating energy conservation and emission reduction. It is anticipated that by 2050, hydrogen energy will reduce energy consumption and emissions by around 20% (<xref ref-type="bibr" rid="B38">Yu et al., 2021</xref>). Currently, the ideal method for the production of hydrogen utilizing renewable energy is electrolysis, which accounts for over 4% of the global hydrogen production (<xref ref-type="bibr" rid="B24">Shiva and Himabindu, 2019</xref>; <xref ref-type="bibr" rid="B8">Doan et al., 2021</xref>). The aforementioned approach incorporates several methodologies, including alkaline water electrolysis (AWE), proton exchange membrane water electrolysis (PEMWE) and solid oxide electrolysis (SOEC) (<xref ref-type="bibr" rid="B10">Hui et al., 2024</xref>). Nevertheless, challenges are encountered due to the intrinsic intermittency, randomness and variability inherent to the majority of renewable energy sources, such as wind, solar, and hydropower. These issues have the potential to result in transient changes in temperature and potential within the electrolyzer, which could cause serious damage to the electrolysis and membrane systems, hence hydrogen production equipment needs to possess a certain capability to withstand load fluctuations.</p>
<p>PEMWE offers advantages such as high efficiency, a wide range of operating voltages, and exceptionally high hydrogen purity (99.999%). In this system, the cost of bipolar plates (BPs) materials and fabrication accounts for approximately 50% of the total costs (<xref ref-type="bibr" rid="B9">Feng et al., 2017</xref>). The operational environment of the plates in PEMWE is characterized by acidic high potentials, where traditional materials like graphite and stainless steel fail to fulfill the requirements. To ensure the optimal lifespan for PEMWE, corrosion-resistant titanium has become the ideal material for application in these systems (<xref ref-type="bibr" rid="B4">Celik et al., 2022</xref>). It is well known that TA1 was widely recognized and utilized in PEMWE fields due to its exceptional corrosion resistance, elevated thermal conductivity and high specific strength (<xref ref-type="bibr" rid="B36">Yasin et al., 2024</xref>). The choice to use TA1 instead of titanium alloys is based on the following two reasons: (1) good corrosion resistance, stability (<xref ref-type="bibr" rid="B17">Meng et al., 2024</xref>); (2) lower cost (<xref ref-type="bibr" rid="B26">Sverdrup and Sverdrup, 2023</xref>).</p>
<p>The excellent corrosion resistance of titanium is associated with the formation passive film on its surface and the characteristics of this passive film are influenced by several factors, including the applied potential, the duration of exposure, and the composition of the solution (<xref ref-type="bibr" rid="B1">Acevedo-Pe&#xf1;a et al., 2013</xref>; <xref ref-type="bibr" rid="B30">Wang et al., 2021</xref>; <xref ref-type="bibr" rid="B12">Li et al., 2016</xref>). <xref ref-type="bibr" rid="B12">Li et al. (2016)</xref> found that increasing the potential helps to reduce the current density of titanium. <xref ref-type="bibr" rid="B30">Wang et al. (2021)</xref> observed that the protective effectiveness of the passive film enhanced as the applied potential increased for Ti-6Al-4V in 0.5 M sulfuric acid. The limitations of titanium are primarily due to the formation of an insulating TiO<sub>2</sub> film in strong oxidative environment of PEMWE (<xref ref-type="bibr" rid="B27">Utomo and Donne, 2006</xref>). This significantly increases the ohmic resistance, leading to increased power loss and reduced hydrogen production efficiency. In addition, when exposed to F<sup>&#x2212;</sup>, the TiO<sub>2</sub> passive film will dissolve in solutions exceeding critical concentration (<xref ref-type="bibr" rid="B13">Li et al., 2021</xref>; <xref ref-type="bibr" rid="B33">Wang et al., 2014</xref>).</p>
<p>The core components of PEMWE primarily consist of bipolar plates, transport layers, and membrane electrode assemblies, with the bipolar plates and transport layers being composed of TA1. The oxidation and corrosion behavior of TA1 under real operating conditions is closely linked to stack performance, directly determining hydrogen production efficiency and system stability (<xref ref-type="bibr" rid="B36">Yasin et al., 2024</xref>). Currently, PEM electrolyzers for hydrogen production are primarily coupled with renewable energy sources, such as solar and wind energy (<xref ref-type="bibr" rid="B35">Xu et al., 2024</xref>). However, the inherent fluctuations in renewable energy pose the challenge of dynamic potential loading for PEM electrolyzers. Dynamic potential loading can cause transient changes in the electrode potentials within the electrolyzer. In actual hydrogen production, the impacts of fluctuating potential on the stability and durability of the components are crucial (<xref ref-type="bibr" rid="B3">Bazarah et al., 2022</xref>). Potential fluctuations can induce localized high temperatures and high potentials, which may cause irreversible damage to the bipolar plates and transport layers within the electrolyzer. Most notably, fluctuating potential affects the oxidation and corrosion behavior of the components, directly impacting the internal contact resistance of the stack and, consequently, hydrogen production efficiency. In practical applications, PEM electrolyzers may face a wide range of complex operating conditions and load variations. Investigating the effects of dynamic potential loading on the system is critical for understanding and addressing the challenges encountered in practical applications, while also providing a scientific basis and technical support for system design and operation. Therefore, it is essential to study the impact of different fluctuating potentials on corrosion and interface conductivity of TA1.</p>
<p>In this work, the electrochemical behaviors of TA1 are characterized by potentiodynamic polarization (PDP) and electrochemical impedance spectroscopy (EIS) in PEMWE working environments; the impact of different start-stop conditions resulting from photovoltaic power conditions on the composition of the surface passive film and interfacial conductivity of TA1 are investigated by three dynamic polarization methods, X-ray photoelectron spectroscopy (XPS), and interfacial contact resistance (ICR); the corrosion morphology of TA1 after immersion in a simulated PEMWE anode environment is analyzed using scanning electron microscope (SEM). Important phenomena are observed and systematically discussed based on the experimental results.</p>
</sec>
<sec id="s2">
<title>2 Experimental section</title>
<sec id="s2-1">
<title>2.1 Materials</title>
<p>The selected material is a 2 mm thick annealed TA1 plate from Baoji Titanium Industry Co., Ltd., along with the composition details furnished by the company, as outlined in <xref ref-type="table" rid="T1">Table 1</xref>. 10 mm &#xd7; 10 mm &#xd7; 2 mm specimens were wire cut from larger plates. Subsequently, the samples were sequentially polished using SiC sandpaper from 240 to 3,000 grit, followed by ultrasonic cleaning in ethanol for 5 min and drying with cold air.</p>
<table-wrap id="T1" position="float">
<label>TABLE 1</label>
<caption>
<p>The chemical composition of TA1 (wt%).</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">Element</th>
<th align="center">C</th>
<th align="center">N</th>
<th align="center">O</th>
<th align="center">H</th>
<th align="center">Fe</th>
<th align="center">Si</th>
<th align="center">Ti</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">content</td>
<td align="center">0.07</td>
<td align="center">0.035</td>
<td align="center">0.15</td>
<td align="center">0.014</td>
<td align="center">0.13</td>
<td align="center">0.1</td>
<td align="center">Bal</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="s2-2">
<title>2.2 Electrochemical analysis</title>
<p>The electrochemical experiments were conducted using a three-electrode system on a Wuhan Corrtest CS2350M5 dual-channel electrochemical workstation. The counter electrode and reference electrode were Pt foil and Ag/AgCl electrodes respectively, while the working electrode was the sample. The back of the sample was soldered to a copper wire and encapsulated in a PVC tube with epoxy resin, exposing an area of 1 cm<sup>2</sup>. The test solution was a 0.5 M H<sub>2</sub>SO<sub>4</sub> &#x2b; 5 ppm NaF aqueous solution, with the operating temperature set at 70&#xb0;C. The solution was pre-bubbled with air for 12 h to achieve a high dissolved oxygen. Prior to the electrochemical testing, an open circuit potential (OCP) test was conducted for 1 h. Electrochemical impedance spectroscopy (EIS) tests were performed at open circuit from 100 kHz to 0.01 Hz with a disturbance sinusoidal signal amplitude of 10 mV. The EIS data obtained were analyzed and fitted using ZSimpWin software. Potentiodynamic polarization was conducted at a scan rate of 2 mV/s from &#x2212;0.5 V<sub>ocp</sub> to 4 V<sub>Ag/AgCl</sub>. Unless specifically stated, all potentials mentioned in the text are relative to Ag/AgCl.</p>
<p>To investigate the impact of start-stop conditions during the electrolysis process on the electrodes, this study employed three types of wave signals for fluctuating polarization acceleration tests: square wave, sine wave, and triangle wave. The upper potential limit was set at 2 V, and the lower limit at 0 V. Each fluctuation cycle lasted 36s (frequency &#x3d; 0.028 Hz), with the total duration being 1 h. For comparison, constant potential polarization was conducted at 2 V.</p>
</sec>
<sec id="s2-3">
<title>2.3 Characterization</title>
<p>The immersion solution consisted of 0.5 M H<sub>2</sub>SO<sub>4</sub> &#x2b; 5 ppm NaF, with the temperature maintained at 70&#xb0;C and the corrosion morphology of immersed TA1 was observed using an FEI Quanta 250 scanning electron microscope (SEM).</p>
<p>Differences in the composition of the passive film on the sample surface after polarization acceleration tests were characterized by X-ray photoelectron spectroscopy (XPS, Thermo ESCALAB 250 Xi), with the radiation source being Al K&#x3b1; (<italic>h&#x3bd;</italic> &#x3d; 1,486.6 eV). The XPS data obtained were peak-fitted using Avantage software, and the XPS signals were calibrated using the C 1s reference peak (284.8 eV).</p>
<p>Interfacial contact resistance (ICR) tests were conducted on both the original samples and those subjected to fluctuating polarization tests. To perform the ICR test, the sample was sandwiched between two carbon papers (TGP-H-060T), forming a &#x201c;sandwich&#x201d; structure. This assembly was then placed between two copper cylindrical electrodes and compressed to record the total resistance R<sub>1</sub> under various pressures. Furthermore, a single sheet of carbon paper was placed between the two copper cylinders, and the total resistance R<sub>2</sub> under different pressures was similarly recorded. Assuming the bulk resistances are negligible, the contact resistance of the sample can be obtained using the following <xref ref-type="disp-formula" rid="e1">Equation 1</xref>:<disp-formula id="e1">
<mml:math id="m1">
<mml:mrow>
<mml:mtext>ICR</mml:mtext>
<mml:mo>&#x2248;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mi>R</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
<mml:mo>&#x2013;</mml:mo>
<mml:msub>
<mml:mi>R</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
</mml:mrow>
<mml:mn>2</mml:mn>
</mml:mfrac>
</mml:mrow>
</mml:math>
<label>(1)</label>
</disp-formula>
</p>
</sec>
</sec>
<sec sec-type="results|discussion" id="s3">
<title>3 Results and discussion</title>
<sec id="s3-1">
<title>3.1 Electrochemical behavior</title>
<sec id="s3-1-1">
<title>3.1.1 Open circuit potential</title>
<p>
<xref ref-type="fig" rid="F1">Figure 1</xref> illustrates the open circuit potential (OCP) changes of TA1 in a simulated PEMWE anodic environment over time. Initially, the potential is relatively high at about &#x2212;0.22 V, attributed to the naturally formed oxide layer on the titanium surface when exposed to air. As time extends to approximately 250 s, the potential sharply decreases due to the dissolution of surface oxides (<xref ref-type="bibr" rid="B33">Wang et al., 2014</xref>; <xref ref-type="bibr" rid="B5">Chen et al., 2020</xref>). This process involves the dissolution of TiO<sub>2</sub> into Ti-F compounds ([TiF<sub>6</sub>]<sup>2&#x2013;</sup>), as illustrated in reaction (2) (<xref ref-type="bibr" rid="B23">Ren et al., 2020</xref>). According to Cui (<xref ref-type="bibr" rid="B7">Cui et al., 2018</xref>), who define the bursting time (t<sub>b</sub>) (marked on the log-time plot), the bursting time for TA1 is about 265 s. Subsequently, the OCP gradually increases, reaching a local maximum of &#x2212;0.55 V. This increase mainly corresponds to the self-passivation of the TA1 (<xref ref-type="bibr" rid="B37">Yin et al., 2023</xref>). However, this process is unstable; the potential slowly decreases again, ultimately stabilizing around &#x2212;0.585 V, involving the reactions with F<sup>&#x2212;</sup>as indicated in <xref ref-type="disp-formula" rid="e3">Equation 3</xref>. The specific reaction process is outlined as follows: in a acid solution containing fluoride ions at 70&#xb0;C, the primary reactions include the passivation of titanium and the dissolution of titanium dioxide. <xref ref-type="disp-formula" rid="e2">Equation 2</xref> describes this dissolution process. Once the titanium dioxide dissolves, the underlying pure titanium is exposed, and its subsequent reaction is described by <xref ref-type="disp-formula" rid="e3">Equation 3</xref>, forming [TiF<sub>6</sub>]<sup>3&#x2013;</sup> (<xref ref-type="bibr" rid="B23">Ren et al., 2020</xref>).<disp-formula id="e2">
<mml:math id="m2">
<mml:mrow>
<mml:mtext>Ti</mml:mtext>
<mml:msub>
<mml:mi mathvariant="normal">O</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>6</mml:mn>
<mml:msup>
<mml:mi mathvariant="normal">F</mml:mi>
<mml:mo>&#x2010;</mml:mo>
</mml:msup>
<mml:mo>&#x2b;</mml:mo>
<mml:msup>
<mml:mrow>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mn>4</mml:mn>
<mml:mi mathvariant="normal">H</mml:mi>
</mml:mrow>
<mml:mo>&#x2b;</mml:mo>
</mml:msup>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mo>&#x2192;</mml:mo>
<mml:mtext>&#x2009;</mml:mtext>
<mml:msup>
<mml:mrow>
<mml:mfenced open="[" close="]" separators="|">
<mml:mrow>
<mml:mtext>Ti</mml:mtext>
<mml:msub>
<mml:mi mathvariant="normal">F</mml:mi>
<mml:mn>6</mml:mn>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
<mml:mo>&#x2013;</mml:mo>
</mml:mrow>
</mml:msup>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>2</mml:mn>
<mml:msub>
<mml:mi mathvariant="normal">H</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
</mml:math>
<label>(2)</label>
</disp-formula>
<disp-formula id="e3">
<mml:math id="m3">
<mml:mrow>
<mml:mn>2</mml:mn>
<mml:mtext>Ti</mml:mtext>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>12</mml:mn>
<mml:msup>
<mml:mi mathvariant="normal">F</mml:mi>
<mml:mo>&#x2010;</mml:mo>
</mml:msup>
<mml:mo>&#x2b;</mml:mo>
<mml:msup>
<mml:mrow>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mn>6</mml:mn>
<mml:mi mathvariant="normal">H</mml:mi>
</mml:mrow>
<mml:mo>&#x2b;</mml:mo>
</mml:msup>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mo>&#x2192;</mml:mo>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mn>2</mml:mn>
<mml:msup>
<mml:mrow>
<mml:mfenced open="[" close="]" separators="|">
<mml:mrow>
<mml:mtext>Ti</mml:mtext>
<mml:msub>
<mml:mi mathvariant="normal">F</mml:mi>
<mml:mn>6</mml:mn>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mrow>
<mml:mn>3</mml:mn>
<mml:mo>&#x2013;</mml:mo>
</mml:mrow>
</mml:msup>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>3</mml:mn>
<mml:msub>
<mml:mi mathvariant="normal">H</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
</mml:mrow>
</mml:math>
<label>(3)</label>
</disp-formula>
</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>The OCP evolution of TA1 in the simulated PEMWE anodic environment.</p>
</caption>
<graphic xlink:href="fenrg-12-1478223-g001.tif"/>
</fig>
</sec>
<sec id="s3-1-2">
<title>3.1.2 Potentiodynamic polarization curve</title>
<p>
<xref ref-type="fig" rid="F2">Figure 2</xref> presents the potentiodynamic polarization curve of TA1 in a simulated PEMWE anodic environment, and <xref ref-type="table" rid="T2">Table 2</xref> lists the fitted kinetic parameters. The corrosion potential of TA1 is &#x2212;689 mV with a self-corrosion current density of 232.5 &#x3bc;A cm<sup>&#x2013;2</sup>. The current density of TA1 gradually exceeds <italic>E</italic>
<sub>corr</sub>, reaching the active dissolution region (1, &#x2212;0.68 to &#x2212;0.5 V) where the maximum current density [critical current density (<italic>i</italic>
<sub>cri</sub>)] is 1.05 mA cm<sup>&#x2013;2</sup>. The primary reaction of Ti at this stage is dissolution forming soluble Ti (III) (<xref ref-type="bibr" rid="B37">Yin et al., 2023</xref>; <xref ref-type="bibr" rid="B6">Cheng et al., 2023</xref>). As the potential increases, Ti (III) transforms to Ti (IV), accompanied by the emergence of lower-valence oxides such as Ti<sub>2</sub>O<sub>3</sub>. Ti (IV) typically acts as a corrosion inhibitor and further reacts with water to form a TiO<sub>2</sub> passivation film according to <xref ref-type="disp-formula" rid="e4">Equation 4</xref> (<xref ref-type="bibr" rid="B19">Ningshen et al., 2015</xref>). The curve then enters the transition zone (2, from &#x2212;0.5 V to 0.2 V) and the typical passivation zone (3, from 0.2 V to 2.5 V), where the passivation current density (<italic>i</italic>
<sub>p,1V</sub>) at 1 V is approximately 54.04 &#x3bc;A cm<sup>&#x2013;2</sup>. Subsequently, the curve enters the transpassive region (4, 2.5&#x2013;3.2 V) and the oxygen evolution reaction (OER) region (5, 3.5&#x2013;4 V).<disp-formula id="e4">
<mml:math id="m4">
<mml:mrow>
<mml:msup>
<mml:mtext>Ti</mml:mtext>
<mml:mrow>
<mml:mn>4</mml:mn>
<mml:mo>&#x2b;</mml:mo>
</mml:mrow>
</mml:msup>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>2</mml:mn>
<mml:msub>
<mml:mi mathvariant="normal">H</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:mi mathvariant="normal">O</mml:mi>
<mml:mo>&#x2192;</mml:mo>
<mml:mtext>&#x2009;</mml:mtext>
<mml:msub>
<mml:mtext>TiO</mml:mtext>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>4</mml:mn>
<mml:msup>
<mml:mi mathvariant="normal">H</mml:mi>
<mml:mo>&#x2b;</mml:mo>
</mml:msup>
</mml:mrow>
</mml:math>
<label>(4)</label>
</disp-formula>
</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>Potentiodynamic polarization curves of TA1.</p>
</caption>
<graphic xlink:href="fenrg-12-1478223-g002.tif"/>
</fig>
<table-wrap id="T2" position="float">
<label>TABLE 2</label>
<caption>
<p>Fitting electrochemical parameters from the PDP experiment of TA1.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">
<italic>E</italic>
<sub>corr</sub> (mV)</th>
<th align="center">
<italic>i</italic>
<sub>corr</sub> (&#x3bc;A cm<sup>&#x2212;2</sup>)</th>
<th align="center">
<italic>i</italic>
<sub>cri</sub> (mA cm<sup>&#x2212;2</sup>)</th>
<th align="center">
<italic>i</italic>
<sub>p,1V</sub> (&#x3bc;A cm<sup>&#x2212;2</sup>)</th>
<th align="center">
<italic>&#x3b2;</italic>
<sub>a</sub> (mV dec<sup>&#x2212;1</sup>)</th>
<th align="center">
<italic>&#x3b2;</italic>
<sub>c</sub> (mV dec<sup>&#x2212;1</sup>)</th>
<th align="center">
<italic>R</italic>
<sub>p</sub> (&#x3a9; cm<sup>2</sup>)</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">&#x2212;689</td>
<td align="center">131.55</td>
<td align="center">1.05</td>
<td align="center">54.04</td>
<td align="center">125.9</td>
<td align="center">68.4</td>
<td align="center">125.9</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>According to the Tafel slopes from the linear region of the potentiodynamic polarization curves, the polarization resistance (<italic>R</italic>
<sub>p</sub>) can be obtained (<xref ref-type="bibr" rid="B15">Liu et al., 2021</xref>), which can further be used to assess the corrosion resistance. The formula is as follows <xref ref-type="disp-formula" rid="e5">Equation 5</xref>:<disp-formula id="e5">
<mml:math id="m5">
<mml:mrow>
<mml:msub>
<mml:mi>R</mml:mi>
<mml:mi mathvariant="normal">p</mml:mi>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:msub>
<mml:mi>&#x3b2;</mml:mi>
<mml:mi mathvariant="normal">a</mml:mi>
</mml:msub>
<mml:msub>
<mml:mi>&#x3b2;</mml:mi>
<mml:mi mathvariant="normal">c</mml:mi>
</mml:msub>
<mml:mo>/</mml:mo>
<mml:mrow>
<mml:mfenced open="[" close="]" separators="|">
<mml:mrow>
<mml:mn>2.303</mml:mn>
<mml:mo>&#xd7;</mml:mo>
<mml:msub>
<mml:mi>i</mml:mi>
<mml:mtext>corr</mml:mtext>
</mml:msub>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3b2;</mml:mi>
<mml:mi mathvariant="normal">a</mml:mi>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>&#x3b2;</mml:mi>
<mml:mi mathvariant="normal">c</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:math>
<label>(5)</label>
</disp-formula>where <italic>&#x3b2;</italic>
<sub>a</sub> and <italic>&#x3b2;</italic>
<sub>c</sub> represent the Tafel slopes of the anodic and cathodic linear regions, respectively. The calculated <italic>R</italic>
<sub>p</sub> for TA1 is 125.9 &#x3a9; cm<sup>2</sup>.</p>
</sec>
<sec id="s3-1-3">
<title>3.1.3 Electrochemical impedance spectroscopy</title>
<p>
<xref ref-type="fig" rid="F3">Figure 3</xref> shows the EIS data for TA1 under OCP conditions in a simulated PEMWE anodic environment. The Nyquist plot in <xref ref-type="fig" rid="F3">Figure 3A</xref> exhibits two incomplete semicircles, indicating that the passive film is not dense and has been severely damaged (<xref ref-type="bibr" rid="B6">Cheng et al., 2023</xref>). The low-frequency capacitive arc indicates the dissolution of the surface passive film, and the high-frequency capacitive arc represents the double-layer capacitance at the sample-solution interface. The Bode plot in <xref ref-type="fig" rid="F3">Figure 3B</xref>, two distinct peaks suggest the presence of two time constants, and the highest phase angle for TA1 is only 54.2&#xb0; at mid-high frequencies. Considering that the active dissolution of TA1 in acidic solutions is mainly controlled by charge transfer and adsorption of intermediates, an equivalent circuit with two time constants is used to fit the EIS data. The total impedance Z of the circuit is given by <xref ref-type="disp-formula" rid="e6">Equation 6</xref>, <xref ref-type="bibr" rid="B21">Orazem and Tribollet (2008)</xref>:<disp-formula id="e6">
<mml:math id="m6">
<mml:mrow>
<mml:mi>Z</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:msub>
<mml:mi>R</mml:mi>
<mml:mi mathvariant="normal">s</mml:mi>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:mfrac>
<mml:mn>1</mml:mn>
<mml:mrow>
<mml:msub>
<mml:mi>Q</mml:mi>
<mml:mi>a</mml:mi>
</mml:msub>
<mml:msup>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi>j</mml:mi>
<mml:mi>&#x3c9;</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mi mathvariant="normal">n</mml:mi>
</mml:msup>
<mml:mo>&#x2b;</mml:mo>
<mml:mfrac>
<mml:mn>1</mml:mn>
<mml:mrow>
<mml:msub>
<mml:mi>R</mml:mi>
<mml:mi>a</mml:mi>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:mfrac>
<mml:mn>1</mml:mn>
<mml:mrow>
<mml:msub>
<mml:mi>Q</mml:mi>
<mml:mrow>
<mml:mi>d</mml:mi>
<mml:mi>l</mml:mi>
</mml:mrow>
</mml:msub>
<mml:msup>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi>j</mml:mi>
<mml:mi>&#x3c9;</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mi mathvariant="normal">n</mml:mi>
</mml:msup>
<mml:mo>&#x2b;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mi>R</mml:mi>
<mml:mrow>
<mml:mi>c</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
<label>(6)</label>
</disp-formula>
</p>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption>
<p>The EIS data of the TA1. <bold>(A)</bold> Nyquist plot, <bold>(B)</bold> Bode plot, <bold>(C)</bold> equivalent electrical circuit (EEC).</p>
</caption>
<graphic xlink:href="fenrg-12-1478223-g003.tif"/>
</fig>
<p>In the formula, <italic>R</italic>
<sub>s</sub> and <italic>R</italic>
<sub>a</sub> represent the electrolyte and oxide film resistances, respectively, while <italic>R</italic>
<sub>ct</sub> denotes the charge transfer resistance. <italic>CPE</italic>
<sub>f</sub> and <italic>CPE</italic>
<sub>dl</sub> are constant phase elements, used to substitute for the capacitance behavior of the oxide film and double layer because of the surface heterogeneity and non-ideal capacitance property (<xref ref-type="bibr" rid="B31">Wang et al., 2023</xref>; <xref ref-type="bibr" rid="B29">Wang et al., 2024</xref>). The impedance of <italic>CPE</italic> is defined as following <xref ref-type="disp-formula" rid="e7">Equation 7</xref>:<disp-formula id="e7">
<mml:math id="m7">
<mml:mrow>
<mml:msub>
<mml:mi>Z</mml:mi>
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>P</mml:mi>
<mml:mi>E</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:msup>
<mml:mi>Q</mml:mi>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msup>
<mml:msup>
<mml:mrow>
<mml:mo>&#x2219;</mml:mo>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi>&#x3c9;</mml:mi>
<mml:mi>i</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>n</mml:mi>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:math>
<label>(7)</label>
</disp-formula>Where Q represents the admittance of the <italic>CPE</italic>, n is a <italic>CPE</italic> parameter ranging between 0 and 1, and <italic>&#x3c9;</italic> is the angular frequency. <italic>I</italic> represents the imaginary unit. <xref ref-type="table" rid="T3">Table 3</xref> lists the fitting parameters for the EIS data, with <italic>R</italic>
<sub>ct</sub> being 41.99 &#x3a9; cm<sup>2</sup>. The polarization resistance (<italic>R</italic>
<sub>p</sub>) is derived from the impedance modulus at the low-frequency limit (<xref ref-type="bibr" rid="B16">Mccafferty, 2010</xref>), and its calculation formula is simplified to <xref ref-type="disp-formula" rid="e8">Equation 8</xref>:<disp-formula id="e8">
<mml:math id="m8">
<mml:mrow>
<mml:msub>
<mml:mi>R</mml:mi>
<mml:mi mathvariant="normal">p</mml:mi>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:munder>
<mml:mi>lim</mml:mi>
<mml:mrow>
<mml:mi mathvariant="normal">&#x3c9;</mml:mi>
<mml:mo>&#x2192;</mml:mo>
<mml:mn>0</mml:mn>
</mml:mrow>
</mml:munder>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mfenced open="|" close="|" separators="|">
<mml:mrow>
<mml:mi mathvariant="normal">Z</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:math>
<label>(8)</label>
</disp-formula>
</p>
<table-wrap id="T3" position="float">
<label>TABLE 3</label>
<caption>
<p>The quantitative information of the EIS data for the TA1.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">
<italic>R</italic>
<sub>s</sub> (&#x3a9; cm<sup>2</sup>)</th>
<th align="center">
<italic>Q</italic>
<sub>f</sub> (&#x3a9;<sup>&#x2013;1</sup> cm<sup>&#x2013;2</sup> s<sup>n</sup>)</th>
<th align="center">
<italic>n</italic>
<sub>1</sub>
</th>
<th align="center">
<italic>R</italic>
<sub>f</sub> (&#x3a9; cm<sup>2</sup>)</th>
<th align="center">
<italic>Q</italic>
<sub>dl</sub> (&#x3a9;<sup>&#x2013;1</sup> cm<sup>&#x2013;2</sup> s<sup>n</sup>)</th>
<th align="center">
<italic>n</italic>
<sub>2</sub>
</th>
<th align="center">
<italic>R</italic>
<sub>ct</sub> (&#x3a9; cm<sup>2</sup>)</th>
<th align="center">
<italic>&#x3c7;</italic>
<sup>2</sup> (&#xd7;10<sup>&#x2212;4</sup>)</th>
<th align="center">
<italic>R</italic>
<sub>p</sub> (&#x3a9; cm<sup>2</sup>)</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">1.609</td>
<td align="center">1.474 &#xd7; 10<sup>&#x2212;3</sup>
</td>
<td align="center">0.864</td>
<td align="center">30.77</td>
<td align="center">0.0485</td>
<td align="center">0.897</td>
<td align="center">41.99</td>
<td align="center">1.104</td>
<td align="center">72.76</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>Further simplification to <xref ref-type="disp-formula" rid="e9">Equation 9</xref>:<disp-formula id="e9">
<mml:math id="m9">
<mml:mrow>
<mml:msub>
<mml:mi>R</mml:mi>
<mml:mi mathvariant="normal">p</mml:mi>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:msub>
<mml:mi>R</mml:mi>
<mml:mtext>ct</mml:mtext>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>R</mml:mi>
<mml:mi mathvariant="normal">a</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
<label>(9)</label>
</disp-formula>
</p>
<p>The calculated polarization resistance is 72.76 &#x3a9; cm<sup>2</sup>.</p>
</sec>
<sec id="s3-1-4">
<title>3.1.4 Fluctuating acceleration tests</title>
<p>Fluctuating acceleration tests were conducted on TA1 under various potentials, and the current response obtained is shown in <xref ref-type="fig" rid="F4">Figure 4A</xref>, with <xref ref-type="fig" rid="F4">Figure 4B</xref> providing a detailed view of the 1,700&#x2013;1,900 s. When a constant potential of 2 V is applied, the current density quickly decreases to around 6 mA cm<sup>&#x2013;2</sup> within 100 s and then stabilizes, exhibiting noticeable sawtooth-like current fluctuations of approximately 0.001 mA cm<sup>&#x2013;2</sup>. This indicates that the passivation state of the sample is unstable under this potential, with minor active reactions occurring. This observation is supported by the polarization curve shown in <xref ref-type="fig" rid="F2">Figure 2</xref>. The relationship between the current density response i and polarization time can be fitted using the Vermilyea model (<xref ref-type="bibr" rid="B28">Vermilyea, 1963</xref>), expressed as <xref ref-type="disp-formula" rid="e10">Equation 10</xref>:<disp-formula id="e10">
<mml:math id="m10">
<mml:mrow>
<mml:msub>
<mml:mi>i</mml:mi>
<mml:mi>p</mml:mi>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:msub>
<mml:mi>i</mml:mi>
<mml:mi>&#x221e;</mml:mi>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:mi>A</mml:mi>
<mml:msup>
<mml:mi>e</mml:mi>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mi>R</mml:mi>
<mml:mi>n</mml:mi>
</mml:msub>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:math>
<label>(10)</label>
</disp-formula>
</p>
<fig id="F4" position="float">
<label>FIGURE 4</label>
<caption>
<p>
<bold>(A)</bold> The response of current density TA1, <bold>(B)</bold> Enlarged views in the period of 1,700&#x223c;1,900s, and <bold>(C)</bold> The statistical diagram of current density response under constant and dynamic polarization potentials.</p>
</caption>
<graphic xlink:href="fenrg-12-1478223-g004.tif"/>
</fig>
<p>In this equation, <inline-formula id="inf1">
<mml:math id="m11">
<mml:mrow>
<mml:msub>
<mml:mi>i</mml:mi>
<mml:mi>&#x221e;</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> represents the limiting current density, <italic>A</italic> is the difference between the initial current density and the steady-state current density, and <italic>R</italic>
<sub>n</sub> represents the rate of decrease in current density. Fitting the current density yields <inline-formula id="inf2">
<mml:math id="m12">
<mml:mrow>
<mml:msub>
<mml:mi>i</mml:mi>
<mml:mi>&#x221e;</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>, <italic>A</italic>, <italic>R</italic>
<sub>n</sub> values of 5.8 mA cm<sup>&#x2013;2</sup>, 4.42 mA cm<sup>&#x2013;2</sup>, -0.04171 mA cm<sup>&#x2013;2</sup> t<sup>&#x2013;1</sup>, respectively.</p>
<p>A rapid oxidation reaction is observed when the potential changes from 0 V to 2 V in a square wave fluctuation, resulting in a sharp increase in current density to approximately 10 mA cm<sup>&#x2013;2</sup>, followed by a gradual decrease at a diminishing rate. Conversely, when the potential shifts instantaneously from 2 V to 0 V, the current density drops suddenly to about &#x2212;2.65 mA cm<sup>&#x2013;2</sup>, indicating a rapid reduction reaction, followed by a gradual decrease to &#x2212;0.35 mA cm<sup>&#x2013;2</sup>. As shown in <xref ref-type="fig" rid="F4">Figure 4C</xref>, the current density response distribution statistics indicate that the current is primarily distributed in two regions: 6&#x2013;9 mA cm<sup>&#x2013;2</sup>and &#x2013;2&#x223c;0.6 mA cm<sup>&#x2013;2</sup>.</p>
<p>When the fluctuating potential is a sine wave, the instantaneous current transition is not as pronounced due to the slower rate of potential change. The current density corresponding to the high potential is 8.5 mA cm<sup>&#x2013;2</sup>, and the current density observed at the low potential limit is about &#x2212;1.23 mA cm<sup>&#x2013;2</sup>, both of which are lower than the related current densities for square wave polarization. According to <xref ref-type="fig" rid="F4">Figure 4C</xref>, the current is mainly distributed in the low current area, with significantly less distribution in the high current area compared to the square wave, and a noticeable increase in the transition area current. This is a distinctive feature of the sinusoidal wave and is characterized by a higher proportion of lower potential values.</p>
<p>The peak current density with a triangular wave reaches about 5.06 mA cm<sup>&#x2013;2</sup> at high potential, which is the lowest among the three types of fluctuations. At peak low potential, the current density is approximately &#x2212;1.22 mA cm<sup>&#x2013;2</sup>, similar to that of the sinusoidal wave. As the high potential duration is very short with a triangular wave, the high current area is not prominent in <xref ref-type="fig" rid="F4">Figure 4C</xref>, with the current mainly concentrated in the low current region.</p>
</sec>
</sec>
<sec id="s3-2">
<title>3.2 Passive film composition</title>
<p>
<xref ref-type="fig" rid="F5">Figure 5</xref> displays the XPS spectra of the passive film on the surface of TA1 after fluctuating polarization. From <xref ref-type="fig" rid="F5">Figures 5A, D, G, J</xref>, the XPS signal for O1s can be deconvoluted into three distinct component peaks at 530 eV, 531.5 eV, and 533.1 eV, corresponding to O<sup>2&#x2013;</sup>, OH<sup>&#x2212;</sup>, and bound water, respectively (<xref ref-type="bibr" rid="B34">Wei et al., 2022</xref>; <xref ref-type="bibr" rid="B11">Jiang et al., 2024</xref>). To quantitatively compare the compositional differences of the passive film, the relative atomic content of each component was calculated using the following formula (<xref ref-type="bibr" rid="B14">Liu and Wu, 2007</xref>; <xref ref-type="bibr" rid="B18">Moulder et al., 1992</xref>):<disp-formula id="e11">
<mml:math id="m13">
<mml:mrow>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mi>M</mml:mi>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mrow>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:msub>
<mml:mi>I</mml:mi>
<mml:mi>M</mml:mi>
</mml:msub>
<mml:mo>/</mml:mo>
<mml:msub>
<mml:mi>S</mml:mi>
<mml:mi>M</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>/</mml:mo>
<mml:mrow>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:msub>
<mml:mi>I</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>/</mml:mo>
<mml:msub>
<mml:mi>S</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:mrow>
</mml:mrow>
</mml:math>
<label>(11)</label>
</disp-formula>
</p>
<fig id="F5" position="float">
<label>FIGURE 5</label>
<caption>
<p>The XPS spectra of TA1 after polarized by constant and dynamic polarization potentials, <bold>(A&#x2013;C)</bold> 2V <bold>(D&#x2013;F)</bold> Square <bold>(G&#x2013;I)</bold> Sine, and <bold>(J&#x2013;L)</bold> Triangle.</p>
</caption>
<graphic xlink:href="fenrg-12-1478223-g005.tif"/>
</fig>
<p>In this formula, <inline-formula id="inf3">
<mml:math id="m14">
<mml:mrow>
<mml:msub>
<mml:mi>I</mml:mi>
<mml:mi>M</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> represents the peak area of substance and <inline-formula id="inf4">
<mml:math id="m15">
<mml:mrow>
<mml:msub>
<mml:mi>S</mml:mi>
<mml:mi>M</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> denotes the sensitivity factor. The sensitivity factors for elements depend on the XPS equipment used. In this case, the sensitivity factors for O, Ti, and F are 2.881, 6.471, and 4.118, respectively. The calculated ratios of O<sup>2&#x2013;</sup>, OH<sup>&#x2212;</sup>, and bound water are shown in <xref ref-type="fig" rid="F6">Figure 6A</xref>. Notably, the passivation film formed under a constant potential of 2 V exhibits the lowest contents of bound water and OH<sup>&#x2212;</sup>, where bound water plays a role in capturing dissolved metal ions and repairing the passivation layer (<xref ref-type="bibr" rid="B20">Okamoto, 1973</xref>). The highest content of O<sup>2&#x2013;</sup> indicates that a constant potential significantly promotes the formation of surface oxides. When fluctuating potentials are applied, the passivation film after square wave polarization results in O<sup>2&#x2013;</sup> content that is second only to that of constant potential polarization. Whereas the situation is completely reversed when triangular wave potentials are applied, leading to the lowest O<sup>2&#x2013;</sup> content.</p>
<fig id="F6" position="float">
<label>FIGURE 6</label>
<caption>
<p>
<bold>(A)</bold> The proportion of H<sub>2</sub>O, O<sup>2&#x2212;</sup>, OH<sup>&#x2212;</sup> in the passive film formed after polarized by constant and dynamic polarization potential. <bold>(B)</bold> The average valences of the passive films formed at various potentials.</p>
</caption>
<graphic xlink:href="fenrg-12-1478223-g006.tif"/>
</fig>
<p>
<xref ref-type="fig" rid="F5">Figures 5B, E, H, K</xref> shows the Ti2p XPS signals, which can be divided into five peaks: Ti 2p3/2 at 453.8 eV, Ti<sub>2</sub>O<sub>3</sub> 2p3/2 at 457.5 eV, TiO<sub>2</sub> 2p3/2 at 458.7 eV, TiO<sub>2</sub> 2p1/2 at 459.5 eV, and TiO<sub>2</sub> 2p1/2 at 464.3 eV Ti<sub>2</sub>O<sub>3</sub> (<xref ref-type="bibr" rid="B11">Jiang et al., 2024</xref>; <xref ref-type="bibr" rid="B37">Yin et al., 2023</xref>). Ti<sub>2</sub>O<sub>3</sub> as an intermediate product, plays a crucial role in the formation of TiO<sub>2</sub> and is unstable at higher potentials. The types of Ti and its oxides do not vary significantly after different fluctuating polarization tests. Similarly, using <xref ref-type="disp-formula" rid="e11">Equation 11</xref>, the relative contents of Ti and its oxides can be calculated, with TiO<sub>2</sub> percentages of 79.3%, 78.1%, 72.6%, and 71.9% respectively. Considering the presence of the suboxide Ti<sub>2</sub>O<sub>3</sub>, the average valence of the surface passivation film was calculated. The results are shown in <xref ref-type="fig" rid="F6">Figure 6B</xref>, where the average valences obtained from the four polarization tests were 3.7565, 3.7273, 3.6622, and 3.38 respectively. It is evident that the highest valence of the passivation film after constant potential polarization is directly attributed to the highest content of TiO<sub>2</sub> in the film.</p>
<p>
<xref ref-type="fig" rid="F5">Figures 5C, F, I, L</xref> displays the XPS results for F1s, and peak fitting confirms the presence of adsorbed F<sup>&#x2212;</sup>and [TiF<sub>6</sub>]<sup>2&#x2013;</sup>, two peaks at 684.3 eV and 685.3 eV can be identified as F<sup>&#x2212;</sup>, [TiF<sub>6</sub>]<sup>2&#x2013;</sup>, (<xref ref-type="bibr" rid="B23">Ren et al., 2020</xref>; <xref ref-type="bibr" rid="B32">Wang et al., 2016</xref>). Generally, oxygen migrates inward from the water at the substrate/film interface, promoting the growth of the oxide film. Additionally, the oxidation of Ti leads to the accumulation of oxygen vacancies as shown in <xref ref-type="disp-formula" rid="e12">Equation 12</xref>. Under the influence of high electric fields, these oxygen vacancies incorporate into the oxide film and are consumed at the film/solution interface as indicated in <xref ref-type="disp-formula" rid="e13">Equation 13</xref>. Fluoride ions can interact with TiO<sub>2</sub> according to reaction (2), leading to the dissolution of the passivation layer (<xref ref-type="bibr" rid="B25">Stancheva and Bojinov, 2012</xref>), since the thermodynamic stability of dissolved [TiF<sub>6</sub>]<sup>2&#x2013;</sup> is higher than that of TiO<sub>2</sub>.<disp-formula id="e12">
<mml:math id="m16">
<mml:mrow>
<mml:mtext>Ti&#x2009;</mml:mtext>
<mml:mo>&#x2192;</mml:mo>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mrow>
<mml:mfenced open="[" close="]" separators="|">
<mml:mrow>
<mml:mtext>Ti</mml:mtext>
<mml:msub>
<mml:mi mathvariant="normal">O</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mn>2</mml:mn>
<mml:msub>
<mml:mi mathvariant="normal">V</mml:mi>
<mml:mover accent="true">
<mml:mi mathvariant="normal">O</mml:mi>
<mml:mo>&#xa8;</mml:mo>
</mml:mover>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>4</mml:mn>
<mml:mi>e</mml:mi>
</mml:mrow>
</mml:math>
<label>(12)</label>
</disp-formula>
<disp-formula id="e13">
<mml:math id="m17">
<mml:mrow>
<mml:mrow>
<mml:mfenced open="[" close="]" separators="|">
<mml:mrow>
<mml:mtext>Ti</mml:mtext>
<mml:msub>
<mml:mi mathvariant="normal">O</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mn>2</mml:mn>
<mml:msub>
<mml:mi mathvariant="normal">V</mml:mi>
<mml:mover accent="true">
<mml:mi mathvariant="normal">O</mml:mi>
<mml:mo>&#xa8;</mml:mo>
</mml:mover>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>2</mml:mn>
<mml:msub>
<mml:mi mathvariant="normal">H</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:mi mathvariant="normal">O</mml:mi>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mo>&#x2192;</mml:mo>
<mml:mtext>&#x2009;Ti</mml:mtext>
<mml:msub>
<mml:mi mathvariant="normal">O</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>4</mml:mn>
<mml:msup>
<mml:mi mathvariant="normal">H</mml:mi>
<mml:mo>&#x2b;</mml:mo>
</mml:msup>
</mml:mrow>
</mml:math>
<label>(13)</label>
</disp-formula>
</p>
</sec>
<sec id="s3-3">
<title>3.3 Interface contact resistance</title>
<p>
<xref ref-type="fig" rid="F7">Figure 7A</xref> shows the relationship between ICR and compressive force for the original TA1 and after fluctuating polarization. At initial low pressures, the ICR decreases in a logarithm-like manner, which can be attributed to the effective contact between the sample and the hydrophobic carbon paper (<xref ref-type="bibr" rid="B22">Oyarce et al., 2013</xref>). The ICR tends to stabilize after approximately 1.5 MPa. It is evident that the ICR of the samples after fluctuating polarization increased significantly compared to the original samples, with TA1&#x2019;s initial ICR at 186.5 m&#x3a9; cm<sup>2</sup>, and the final stable ICR at 1.43 m&#x3a9; cm<sup>2</sup>. For a more direct comparison, a typical pressure of 1.4 MPa is selected, with the results shown in <xref ref-type="fig" rid="F7">Figure 7B</xref>. The typical ICR for the original TA1 is 16.64 m&#x3a9; cm<sup>2</sup>, after constant potential polarization at 2 V the typical ICR is 190.2 m&#x3a9; cm<sup>2</sup>, and for square wave, sine, and triangular wave polarization tests, the typical ICR values are 163.9, 160.4, and 153.8 m&#x3a9; cm<sup>2</sup>, respectively. This pattern of change is similar to the average valence state of the passive film.</p>
<fig id="F7" position="float">
<label>FIGURE 7</label>
<caption>
<p>
<bold>(A)</bold> The variation of ICRs with compaction force of TA1 before and after polarized by constant and dynamic polarization potentials. <bold>(B)</bold> Typical values of ICR at 1.4 MPa.</p>
</caption>
<graphic xlink:href="fenrg-12-1478223-g007.tif"/>
</fig>
</sec>
<sec id="s3-4">
<title>3.4 Corrosion morphology</title>
<p>
<xref ref-type="fig" rid="F8">Figure 8A</xref> shows the corrosion morphology of TA1 after being immersed in an high-temperature acidic solution simulating the PEMWE anode environment for 48 h. Numerous corrosion pits are visibly distributed uniformly across the entire surface of TA1, indicating significant corrosion activity. Furthermore, <xref ref-type="fig" rid="F8">Figure 8B</xref> shows an enlarged view of the larger corrosion pits. This corrosion morphology is distinct from that of TA1 in a sulfuric acid environment containing fluoride ions at room temperature (<xref ref-type="bibr" rid="B33">Wang et al., 2014</xref>), indicating that the high-temperature conditions of PEMWE exacerbate the corrosive effects of fluoride ions on TA1.</p>
<fig id="F8" position="float">
<label>FIGURE 8</label>
<caption>
<p>
<bold>(A)</bold> The corrosion morphology of TA1 after immersion for 48 h in the simulated PEMWE high-temperature acidic environment, <bold>(B, C)</bold> Partial view enlargement.</p>
</caption>
<graphic xlink:href="fenrg-12-1478223-g008.tif"/>
</fig>
</sec>
</sec>
<sec sec-type="conclusion" id="s4">
<title>4 Conclusion</title>
<p>This paper explores the electrochemical behaviors, composition of surface passive film, interfacial conductivity, and corrosion morphology of TA1 in simulated PEMWE working environments with fluctuating potential to analogy photovoltaic power conditions. The key findings are outlined below:<list list-type="simple">
<list-item>
<p>1) In the simulated PEMWE anode environment, the naturally formed oxide layer in the air dissolves quickly. TA1 has a corrosion potential of &#x2212;689 mV and a self-corrosion current density of 232.5 &#x3bc;A cm<sup>&#x2013;2</sup> with a critical current density (<italic>i</italic>
<sub>cri</sub>) of 1.05 mA cm<sup>&#x2013;2</sup> by Tafel fitting and calculation, the polarization resistance of TA1 is determined to be 125.9 &#x3a9; cm<sup>2</sup>. The passivation film of TA1 is not dense and is severely damaged in this environment.</p>
</list-item>
<list-item>
<p>2) At a constant potential of 2V, the current density maintains around 6 mA cm<sup>&#x2013;2</sup>, but the passivation state is unstable. When a fluctuating square wave potential is applied, transient changes in the potential cause sudden increases in current density, with the current distributed in two concentrated areas. When the fluctuating potential is a sine wave, the current transient phenomenon is not obvious, and the limit currents are lower than those of the square wave, with the current mainly distributed in the low current area, and a significant increase in the transition zone current. When the fluctuating potential is a triangle wave, the limit current density is the lowest, with the current mainly concentrated in the low current region.</p>
</list-item>
<list-item>
<p>3) After conducting tests with four different fluctuating potentials, XPS and ICR test results revealed that these varying potentials significantly affect the degree of oxidation and interfacial resistance. Under constant potentiostatic polarization, the oxidation and corrosion behavior of TA1 was found to be more pronounced compared to the fluctuating potential mode typical of new energy applications. The order of oxidation, corrosion, and interfacial resistance, from highest to lowest, is 2V constant potential polarization &#x3e; square wave &#x3e; sine wave &#x3e; triangular wave.</p>
</list-item>
<list-item>
<p>4) TA1 immersion experiments indicate that the high temperature in PEMWE intensifies the corrosive impact of fluoride ions on TA1.</p>
</list-item>
</list>
</p>
</sec>
</body>
<back>
<sec sec-type="data-availability" 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 author.</p>
</sec>
<sec sec-type="author-contributions" id="s6">
<title>Author contributions</title>
<p>YH: Data curation, Formal Analysis, Investigation, Methodology, Validation, Writing&#x2013;original draft, Writing&#x2013;review and editing. LL: Investigation, Methodology, Validation, Writing&#x2013;review and editing. JY: Data curation, Formal Analysis, Supervision, Writing&#x2013;review and editing. GZ: Data curation, Supervision, Validation, Writing&#x2013;review and editing. ZD: Data curation, Resources, Supervision, Validation, Writing&#x2013;review and editing. BZ: Project administration, Resources, Writing&#x2013;review and editing.</p>
</sec>
<sec sec-type="funding-information" id="s7">
<title>Funding</title>
<p>The author(s) declare that financial support was received for the research, authorship, and/or publication of this article. This study was funded by research and development project of State Grid Corporation of China under the grant number: 5500-202299313A-2-0-QZ, project Study on the formulation and process of PEM hydrogen production plate composite coating suitable for new energy fluctuation. The funder was not involved in the study design, collection, analysis, interpretation of data, the writing of this article, or the decision to submit it for publication.</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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