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  <front>
    <journal-meta>
      <journal-id journal-id-type="publisher-id">cr</journal-id>
      <journal-title-group>
        <journal-title>Catalysis Research</journal-title>
        <abbrev-journal-title>Catalysis Res</abbrev-journal-title>
      </journal-title-group>
      <issn pub-type="epub">2771-490X</issn>
      <issn-l>2771-490X</issn-l>
      <publisher>
        <publisher-name>LIDSEN Publishing Inc.</publisher-name>
      </publisher>
    </journal-meta>
    <article-meta>
      <article-id pub-id-type="publisher-id">cr-06-04-012</article-id>
      <article-id pub-id-type="doi">10.21926/cr.2604012</article-id>
      <article-categories>
        <subj-group subj-group-type="heading">
          <subject>Research Article</subject>
        </subj-group>
      </article-categories>
      <title-group>
        <article-title>Electrocatalytic Enhancement of Formic Acid Oxidation Reaction by a Graphitic Carbon Nitride-Modified Glassy Carbon Electrode</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <name>
            <surname>Hamza</surname>
            <given-names>Bashiru Ibrahim</given-names>
          </name>
          <xref ref-type="aff" rid="aff-01">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <name>
            <surname>Oguzie</surname>
            <given-names>Kanayo Lucy</given-names>
          </name>
          <xref ref-type="aff" rid="aff-01">1</xref>
          <xref ref-type="aff" rid="aff-02">2</xref>
        </contrib>
        <contrib contrib-type="author">
          <name>
            <surname>Anyanwu</surname>
            <given-names>John Ojinere</given-names>
          </name>
          <xref ref-type="aff" rid="aff-01">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <name>
            <surname>Akalezi</surname>
            <given-names>Christogonus Oudney</given-names>
          </name>
          <xref ref-type="aff" rid="aff-01">1</xref>
          <xref ref-type="aff" rid="aff-03">3</xref>
          <xref ref-type="corresp" rid="cor-01"><sup>&#x002A;</sup></xref>
        </contrib>
        <contrib contrib-type="author">
          <name>
            <surname>Oguzie</surname>
            <given-names>Emeka Emmanuel</given-names>
          </name>
          <xref ref-type="aff" rid="aff-01">1</xref>
          <xref ref-type="aff" rid="aff-03">3</xref>
        </contrib>
        <aff id="aff-01"><label>1</label>African Centre of Excellence in Future Energies and Electrochemical Systems, Federal University of Technology, Owerri, Nigeria; E-Mails: <email>hamzabashiru117@gmail.com</email>; <email>kanayooguzie@gmail.com</email>; <email>anyanwu.john@acefuels-futo.org</email>; <email>akalezichris@gmail.com</email>; <email>christogonus.akalezi@futo.edu.ng</email>; <email>emeka.oguzie@futo.edu.ng</email></aff>
        <aff id="aff-02"><label>2</label>Department of Environmental Management, Federal University of Technology, Owerri, Nigeria</aff>
        <aff id="aff-03"><label>3</label>Department of Chemistry, Federal University of Technology, Owerri, Nigeria</aff>
      </contrib-group>
      <contrib-group>
        <contrib contrib-type="editor">
          <name>
            <surname>Kumar</surname>
            <given-names>Narendra</given-names>
          </name>
          <role>Academic Editor</role>
        </contrib>
      </contrib-group>
      <author-notes>
        <corresp id="cor-01"><label>&#x002A;</label>Correspondence: Christogonus Oudney Akalezi; E-Mails: <email>akalezichris@gmail.com</email>; <email>christogonus.akalezi@futo.edu.ng</email></corresp>
      </author-notes>
      <pub-date date-type="pub" publication-format="electronic" iso-8601-date="2026-10-16">
        <day>16</day>
        <month>10</month>
        <year>2026</year>
      </pub-date>
      <volume>6</volume>
      <issue>4</issue>
      <elocation-id>012</elocation-id>
      <history>
        <date date-type="received" iso-8601-date="2026-02-13">
          <day>13</day>
          <month>02</month>
          <year>2026</year>
        </date>
        <date date-type="accepted" iso-8601-date="2026-09-29">
          <day>29</day>
          <month>09</month>
          <year>2026</year>
        </date>
      </history>
      <permissions>
        <copyright-statement>&#x00A9; 2026 by the authors.</copyright-statement>
        <copyright-year>2026</copyright-year>
        <license license-type="open-access">
          <license-p>This is an open access article distributed under the conditions of the <ext-link ext-link-type="uri" xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="http://creativecommons.org/licenses/by/2.0/">Creative Commons by Attribution License</ext-link>, which permits unrestricted use, distribution, and reproduction in any medium or format, provided the original work is correctly cited.</license-p>
        </license>
      </permissions>
      <abstract>
        <p>The formic acid oxidation reaction (FAOR) is a key anodic process in direct formic acid fuel cells and requires efficient electrocatalysts with high activity and resistance to catalyst poisoning. In this study, a graphitic carbon nitride (g-C<sub>3</sub>N<sub>4</sub>)-modified glassy carbon electrode (g-C<sub>3</sub>N<sub>4</sub>/GC) was fabricated and evaluated for FAOR in acidic media. The electrocatalytic performance of the modified electrode was investigated using cyclic voltammetry (CV), electrochemical impedance spectroscopy (EIS), chronoamperometry (CA), and atomic force microscopy (AFM). Compared with the bare glassy carbon electrode, the g-C<sub>3</sub>N<sub>4</sub>/GC electrode exhibited significantly enhanced electrocatalytic activity toward FAOR, characterized by substantially higher peak current densities, lower charge-transfer resistance, and improved long-term stability. EIS analysis revealed faster interfacial electron-transfer kinetics following surface modification, while CV studies indicated an increase in electrochemically active surface area and improved accessibility of catalytic sites. Chronoamperometric measurements further demonstrated enhanced durability and reduced activity loss during prolonged operation. The improved electrochemical performance is attributed to the nitrogen-rich structure, increased conductivity, and abundant active sites provided by g-C<sub>3</sub>N<sub>4</sub>. These findings demonstrate that g-C<sub>3</sub>N<sub>4</sub>-modified glassy carbon electrodes represent a promising metal-free electrocatalyst platform for formic acid electrooxidation and may contribute to the development of cost-effective direct formic acid fuel cell technologies.</p>
      </abstract>
      <kwd-group>
        <title>Keywords</title>
        <kwd>Formic acid oxidation</kwd>
        <kwd>glassy carbon</kwd>
        <kwd>graphitic carbon nitride (g-C<sub>3</sub>N<sub>4</sub>)</kwd>
        <kwd>cyclic voltammetry</kwd>
        <kwd>scan rate</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
      <sec id="sec-01">
        <label>1.</label>
        <title>Introduction</title>
        <p>The electrochemical oxidation of small organic molecules has attracted considerable attention because it is important for developing low-temperature fuel cells and sustainable energy conversion technologies [<xref ref-type="bibr" rid="B-001">1</xref>]. Among these molecules, formic acid (HCOOH) is regarded as one of the most promising liquid fuels for direct formic acid fuel cells (DFAFCs) owing to its high theoretical energy density, low toxicity, ease of storage and transportation, and relatively simple electrochemical oxidation pathway [<xref ref-type="bibr" rid="B-002">2</xref>]. In addition to being an attractive energy carrier, formic acid can be produced from biomass-derived feedstocks and carbon dioxide, making it a renewable and environmentally benign fuel candidate [<xref ref-type="bibr" rid="B-003">3</xref>].</p>
        <p>The anodic oxidation of formic acid proceeds through two principal reaction pathways: a direct dehydrogenation pathway, which produces carbon dioxide and releases electrons efficiently, and an indirect dehydration pathway, which generates adsorbed carbon monoxide (CO) as an intermediate. The latter pathway is undesirable because strongly adsorbed CO blocks catalytic active sites and significantly reduces catalyst activity and durability [<xref ref-type="bibr" rid="B-004">4</xref>,<xref ref-type="bibr" rid="B-005">5</xref>,<xref ref-type="bibr" rid="B-006">6</xref>]. Consequently, identifying electrocatalysts that favour the direct oxidation pathway while suppressing CO formation remains a major challenge in DFAFC research.</p>
        <p>Platinum- and palladium-based materials remain the benchmark electrocatalysts for formic acid oxidation because of their excellent intrinsic catalytic activity. However, their widespread application is limited by high cost, scarcity, catalyst poisoning by CO intermediates, and gradual performance degradation during prolonged operation [<xref ref-type="bibr" rid="B-007">7</xref>]. Various strategies have therefore been explored to overcome these limitations, including alloying platinum with secondary metals, engineering catalyst morphology, and tailoring the electronic structure of catalyst surfaces [<xref ref-type="bibr" rid="B-008">8</xref>,<xref ref-type="bibr" rid="B-009">9</xref>,<xref ref-type="bibr" rid="B-010">10</xref>,<xref ref-type="bibr" rid="B-011">11</xref>]. Although these approaches have improved catalytic performance, they continue to rely heavily on expensive noble metals, highlighting the need for alternative and more sustainable electrocatalytic materials.</p>
        <p>In recent years, carbon-based materials have emerged as attractive alternatives or catalyst supports because of their high electrical conductivity, large specific surface area, excellent chemical stability, and tunable surface chemistry. Materials such as graphene, carbon nanotubes (CNTs), and other nanostructured carbon architectures have been widely employed to enhance electron transport and increase the electrochemically active surface area of electrocatalysts for formic acid oxidation [<xref ref-type="bibr" rid="B-012">12</xref>,<xref ref-type="bibr" rid="B-013">13</xref>,<xref ref-type="bibr" rid="B-014">14</xref>,<xref ref-type="bibr" rid="B-015">15</xref>]. Despite these advances, most reported systems still depend on noble-metal nanoparticles as the active catalytic component. Consequently, increasing attention has shifted toward metal-free carbon materials capable of providing intrinsic catalytic activity while maintaining the advantages of low cost, environmental friendliness, and long-term stability.</p>
        <p>Graphitic carbon nitride (g-C<sub>3</sub>N<sub>4</sub>) has recently emerged as one of the most promising metal-free carbonaceous materials for electrochemical applications. Owing to its two-dimensional conjugated structure, high nitrogen content, abundant surface-active sites, and excellent chemical stability, g-C<sub>3</sub>N<sub>4</sub> exhibits favourable electronic properties that promote efficient charge transfer and strong interactions with adsorbed molecules [<xref ref-type="bibr" rid="B-013">13</xref>,<xref ref-type="bibr" rid="B-014">14</xref>,<xref ref-type="bibr" rid="B-015">15</xref>,<xref ref-type="bibr" rid="B-016">16</xref>,<xref ref-type="bibr" rid="B-017">17</xref>]. These characteristics have led to its successful application in photocatalysis, sensing, energy conversion, and electrocatalysis. Nevertheless, comparatively few studies have investigated the ability of g-C<sub>3</sub>N<sub>4</sub> to enhance the electrocatalytic oxidation of formic acid on glassy carbon electrodes, and the fundamental mechanisms responsible for its catalytic enhancement remain insufficiently understood.</p>
        <p>Computational methods, particularly Density Functional Theory (DFT), have become valuable tools for elucidating adsorption behaviour, electronic structure, charge-transfer characteristics, and reaction mechanisms of electrocatalytic materials at the atomic scale. When combined with electrochemical experiments, DFT calculations provide molecular-level insights that complement experimental observations and facilitate the rational design of improved electrocatalysts.</p>
        <p>In this work, a graphitic carbon nitride-modified glassy carbon electrode (g-C<sub>3</sub>N<sub>4</sub>/GCE) was fabricated and evaluated as a metal-free electrocatalyst for the formic acid oxidation reaction. The electrocatalytic performance of the modified electrode was systematically investigated using cyclic voltammetry, electrochemical impedance spectroscopy, chronoamperometry, atomic force microscopy, and Raman spectroscopy. Furthermore, molecular modelling was employed to investigate the electronic properties, frontier molecular orbitals, and adsorption behaviour of formic acid on the modified surface, thereby providing mechanistic insight into the experimentally observed enhancement in electrocatalytic performance. The combined experimental and computational approach establishes a comprehensive understanding of the role of g-C<sub>3</sub>N<sub>4</sub> in promoting formic acid electrooxidation. It demonstrates its potential as a low-cost, metal-free electrocatalyst for future direct formic acid fuel cell applications.</p>
      </sec>
      <sec id="sec-02">
        <label>2.</label>
        <title>Materials and Method</title>
        <sec id="sec-02-01">
          <label>2.1</label>
          <title>Reagents</title>
          <p>All chemicals used in this research were of analytical grade. Sulfuric acid (H<sub>2</sub>SO<sub>4</sub>, 97-98 wt%) and formic acid (HCOOH, 88.0 wt%, molecular weight 46.03) were purchased from Guangzhou Jinhuada Chemical Reagent Sci-Tech Co. Ltd, China. We prepared using 0.1 M, 0.5 M, and 1.0 M formic acid mixed with 10 mM H<sub>2</sub>SO<sub>4</sub>. Britton-Robinson buffer solutions with pH values of 4.0, 7.0, and 9.0 were employed as supporting electrolytes.</p>
        </sec>
        <sec id="sec-02-02">
          <label>2.2</label>
          <title>Electrode Pretreatment and Modification</title>
          <p>Graphitic carbon nitride (g-C<sub>3</sub>N<sub>4</sub>) nanoparticles were purchased from [Flamingo, Shanghai, China] and used as received without further purification.</p>
          <p>Prior to catalyst deposition, a glassy carbon (GC) electrode (diameter: 3.0 mm, Bioanalytical Systems, USA) was mechanically polished using 0.05 &#x03BC;m alumina slurry and subsequently cleaned by sonication in 0.1 M HNO<sub>3</sub>, 0.1 M H<sub>2</sub>SO<sub>4</sub>, and ultrapure water for 10 min each.</p>
          <p>For electrode modification, 13.5 mg of g-C<sub>3</sub>N<sub>4</sub> nanoparticles were dispersed in 5 mL of ethanol. Subsequently, 40 &#x03BC;L of a 20 wt% Nafion solution was added as a binder to improve the adhesion and mechanical stability of the catalyst film on the electrode surface. The suspension was sonicated for 20 min to obtain a homogeneous catalyst ink. Thereafter, 10 &#x03BC;L of the catalyst ink was drop-cast onto the polished GC electrode using a Hamilton microliter syringe and allowed to dry at room temperature. The surface morphology of the prepared electrodes was examined using atomic force microscopy (AFM) (Stramini-Go DIY Scanning Probe Microscope Controller).</p>
        </sec>
        <sec id="sec-02-03">
          <label>2.3</label>
          <title>Electrochemical Measurements</title>
          <p>All electrochemical measurements were carried out using a three-electrode system with an Autolab SP-200 Potentiostat controlled by EC-Lab software (Bio-Logic, Netherlands). The working electrodes were the prepared GC and g-C<sub>3</sub>N<sub>4</sub>/GC electrodes. A saturated calomel electrode (SCE) as reference electrode and a platinum coil counter electrode completed the setup. All potentials reported are referenced to the SCE reference electrode.</p>
          <p>Formic acid oxidation was investigated in acidic media (10 mM H<sub>2</sub>SO<sub>4</sub> solution) containing varying concentrations of formic acid (0.5 M, 1.0 M, and 5.0 M). Cyclic voltammetry (CV) scans were recorded between -0.3 V and 1.2 V (vs. SCE) at scan rates of 10, 20, 30, 40, and 50 mV/s. The influence of temperature and solution pH on the peak current density (<italic>I</italic><sub>p</sub>) and peak potential (<italic>E</italic><sub>p</sub>) was also explored.</p>
          <p>We complemented CV measurements with chronoamperometry and electrochemical impedance spectroscopy (EIS). Chronoamperometric experiments were conducted at three different HCOOH concentrations (0.1 M, 0.5 M, and 1.0 M). Potential values ranged from 0.3 V to 0.9 V, and the resulting current was monitored over 10 minutes. The current measured at the end of this period reflects the steady-state current at the applied potential. EIS measurements were performed using the same Bio-Logic SAS potentiostat (model SP-200). The impedance spectra were recorded from 100 kHz to 10 mHz with an AC signal amplitude (rms) of 10 mV.</p>
        </sec>
        <sec id="sec-02-04">
          <label>2.4</label>
          <title>Molecular Mechanics Calculations</title>
          <p>Molecular mechanics calculations were performed using the Forcite module in BIOVIA Materials Studio. The glassy carbon electrode (GCE) surface was constructed from a graphite crystal structure (C.cif) and subsequently modified with graphitic carbon nitride (g-C<sub>3</sub>N<sub>4</sub>) to obtain the nanocomposite electrode model. The geometry of the isolated formic acid molecule and the electrode models was first optimized using the COMPASS III force field. Geometry optimization employed the Smart algorithm with convergence criteria of 2.0 &#x00D7; 10<sup>-5</sup> kcal mol<sup>-1</sup> for energy, 0.001 kcal mol<sup>-1</sup> &#x00C5;<sup>-1</sup> for maximum force, and 1.0 &#x00D7; 10<sup>-5</sup> &#x00C5; for maximum displacement. The optimized formic acid molecule was positioned above the electrode surface, and adsorption geometries were obtained through further energy minimization. Periodic boundary conditions were applied in the surface plane, while a vacuum layer of approximately 20 &#x00C5; was introduced normal to the surface to eliminate interactions between periodic images.</p>
          <p>The interaction between formic acid and the electrode surface was evaluated using the adsorption (binding) energy calculated as (Equations 1 and 2):</p>
          <disp-formula>
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        </sec>
      </sec>
      <sec id="sec-03">
        <label>3.</label>
        <title>Result and Discussion</title>
        <sec id="sec-03-01">
          <label>3.1</label>
          <title>Cyclic Voltammetry (CV) at a Bare GCE</title>
          <p>Cyclic voltammetry (CV) is a valuable technique for determining whether an electrochemical reaction is controlled by diffusion or kinetics. <xref ref-type="fig" rid="F-01">Figure 1</xref> illustrates the cyclic voltammogram of a glassy carbon (GC) electrode in a solution of 1 M formic acid (FA) and 10 mM sulfuric acid (H<sub>2</sub>SO<sub>4</sub>) across potential scan rates from 10 to 50 mV/s.</p>
          <fig id="F-01" orientation="portrait" position="float">
            <label>Figure 1</label>
            <caption>
              <p>(a) CV on bare GCE in 1 M HCOOH + 10 mM H<sub>2</sub>SO<sub>4</sub> at different scan rates; (b) Peak current dependence on the square root of the scan rate.</p>
            </caption>
            <graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="Figure01.jpg"/>
          </fig>
          <p>From <xref ref-type="fig" rid="F-01">Figure 1a</xref>, it is evident that as the scan rate increases, the reaction occurring at the electrode becomes less reversible, suggesting a transition towards a quasi-reversible process. This behavior is likely due to diffusion control, attributed to the electrode&#x2019;s porosity, which hinders natural convection and the movement of reactants from the reaction zone to the bulk solution.</p>
          <p>The diffusion-controlled nature of the process is confirmed by the linear relationship between the peak current and the square root of the scan rate (&#x03BD;<sup>1/2</sup>), with a high correlation coefficient (R<sup>2</sup> = 0.9997). This linearity indicates that diffusion governs the electrochemical process. Additionally, plotting the logarithm of the peak current against the logarithm of the scan rate yields a straight line with a slope of 0.42. This value is close to the theoretical slope of 0.5, which is characteristic of an ideal diffusion-controlled electrode process [<xref ref-type="bibr" rid="B-018">18</xref>,<xref ref-type="bibr" rid="B-019">19</xref>].</p>
          <sec id="sec-03-01-01">
            <label>3.1.1</label>
            <title>The Effect of Varying the Concentration of Formic Acid</title>
            <p><xref ref-type="fig" rid="F-02">Figure 2</xref> presents cyclic voltammograms for formic acid oxidation at different concentrations (ranging from 0.1 M to 1.0 M) recorded at a scan rate of 50 mV/s. The corresponding peak current densities and potentials are summarized in <xref ref-type="table" rid="T-01">Table 1</xref>.</p>
            <fig id="F-02" orientation="portrait" position="float">
              <label>Figure 2</label>
              <caption>
                <p>CVs on bare GCE in solutions of different FA concentrations (0.1 M, 0.5 M and 1 M plus 10 mM H<sub>2</sub>SO<sub>4</sub>) at 50 mVs<sup>-1</sup>.</p>
              </caption>
              <graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="Figure02.jpg"/>
            </fig>
            <table-wrap id="T-01" orientation="portrait" position="anchor">
              <label>Table 1</label>
              <caption>
                <title>Electrochemical parameters obtained from three different concentrations of FA on the bare Glassy Carbon Electrode (GCE).</title>
              </caption>
              <table frame="lhs" rules="none">
                <thead>
                  <tr>
                    <td align="left" valign="middle"><bold>Concentration of HCOOH</bold></td>
                    <td align="left" valign="middle"><bold>ECSA (cm<sup>2</sup>)</bold></td>
                    <td align="left" valign="middle">
                      <p><bold>Coefficient of Diffusion</bold></p>
                      <p><bold>(cm<sup>2</sup> s<sup>-1</sup>)</bold></p>
                    </td>
                    <td align="left" valign="middle">
                      <p><bold>Peak current density</bold></p>
                      <p><bold>(mA cm<sup>-2</sup>)</bold></p>
                    </td>
                  </tr>
                </thead>
                <tbody>
                  <tr>
                    <td align="left" valign="middle">0.1 M</td>
                    <td align="left" valign="middle">3.09 &#x00D7; 10<sup>-6</sup></td>
                    <td align="left" valign="middle">12.89 &#x00D7; 10<sup>-12</sup></td>
                    <td align="left" valign="middle">6.83 &#x00D7; 10<sup>4</sup></td>
                  </tr>
                  <tr>
                    <td align="left" valign="middle">0.5 M</td>
                    <td align="left" valign="middle">2.83 &#x00D7; 10<sup>-6</sup></td>
                    <td align="left" valign="middle">12.85 &#x00D7; 10<sup>-12</sup></td>
                    <td align="left" valign="middle">1.52 &#x00D7; 10<sup>5</sup></td>
                  </tr>
                  <tr>
                    <td align="left" valign="middle">1 M</td>
                    <td align="left" valign="middle">1.41 &#x00D7; 10<sup>-6</sup></td>
                    <td align="left" valign="middle">13.00 &#x00D7; 10<sup>-12</sup></td>
                    <td align="left" valign="middle">3.06 &#x00D7; 10<sup>5</sup></td>
                  </tr>
                </tbody>
              </table>
            </table-wrap>
            <p>As evident from the figure, the anodic peak current density for formic acid oxidation progressively increases with increasing formic acid concentration.</p>
            <p>This trend indicates a direct correlation between the number of formic acid molecules available and the rate of the electrocatalytic reaction. At higher concentrations, more formic acid molecules are present near the electrode surface, increasing the probability of collisions with the electrode and participation in the oxidation process. This translates to a higher observed current density [<xref ref-type="bibr" rid="B-020">20</xref>,<xref ref-type="bibr" rid="B-021">21</xref>,<xref ref-type="bibr" rid="B-022">22</xref>].</p>
          </sec>
        </sec>
        <sec id="sec-03-02">
          <label>3.2</label>
          <title>Electrochemical Impedance Spectroscopy (EIS) Properties of Bare GC Electrode</title>
          <p>EIS was used to evaluate charge transfer resistance (<italic>R</italic><sub>ct</sub>), which reflects a catalyst&#x2019;s activity for formic acid electrooxidation [<xref ref-type="bibr" rid="B-023">23</xref>,<xref ref-type="bibr" rid="B-024">24</xref>]. <xref ref-type="fig" rid="F-03">Figure 3</xref> presents EIS data measured at open-circuit potential in a 10 mM H<sub>2</sub>SO<sub>4</sub> solution with 0.1, 0.5, and 1.0 M formic acid (FA) for unmodified and modified electrodes. The data are presented in both (a) Nyquist and (b) Bode formats. As observed in <xref ref-type="fig" rid="F-03">Figure 3a</xref>, the diameter of the semicircular arcs in the Nyquist plots decreases with increasing formic acid concentration for both unmodified and modified electrodes. A smaller arc diameter signifies lower <italic>R</italic><sub>ct</sub>, indicating faster charge transfer kinetics at the electrode-electrolyte interface [<xref ref-type="bibr" rid="B-025">25</xref>,<xref ref-type="bibr" rid="B-026">26</xref>,<xref ref-type="bibr" rid="B-027">27</xref>,<xref ref-type="bibr" rid="B-028">28</xref>]. This trend is further supported by the Bode format plots (<xref ref-type="fig" rid="F-03">Figure 3b</xref>), where a decrease in the phase angle at lower frequencies is observed with increasing FA concentration.</p>
          <fig id="F-03" orientation="portrait" position="float">
            <label>Figure 3</label>
            <caption>
              <p>EIS data sets presented in (a) Nyquist and (b) Bode plots, obtained for the bare GC electrode in different concentrations of FA in 10 mM aqueous solution.</p>
            </caption>
            <graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="Figure03.jpg"/>
          </fig>
          <p>These observations are consistent with the cyclic voltammetry (CV) results (Section 3.1.2), where higher FA concentration led to increased peak current densities. This suggests that a higher concentration of formic acid molecules facilitates faster reactant interaction with the electrode surface, leading to a lower <italic>R</italic><sub>ct</sub> and improved catalytic activity. The combined results from EIS and CV analyses demonstrate that the modification enhances the electrode&#x2019;s conductivity and promotes faster charge transfer kinetics, leading to the anticipated improvement in catalytic activity for formic acid oxidation.</p>
        </sec>
        <sec id="sec-03-03">
          <label>3.3</label>
          <title>Effect of Electrode Modification</title>
          <sec id="sec-03-03-01">
            <label>3.3.1</label>
            <title>Cyclic Voltammetry Analysis</title>
            <p>This section analyzes cyclic voltammetry (CV) data obtained for bare and g-C<sub>3</sub>N<sub>4</sub> modified glassy carbon electrodes (GCEs). <xref ref-type="fig" rid="F-04">Figure 4</xref> illustrates the CV characterization of the modified GCE. In contrast, <xref ref-type="fig" rid="F-05">Figure 5</xref> presents the CV data used for half-wave peak analysis in a 0.5 M formic acid (FA) solution containing 10 mM H<sub>2</sub>SO<sub>4</sub> at a scan rate of 50 mV/s. <xref ref-type="table" rid="T-02">Table 2</xref> summarizes and compares the key CV parameters for both electrodes.</p>
            <fig id="F-04" orientation="portrait" position="float">
              <label>Figure 4</label>
              <caption>
                <p>(a) CV at the modified GCE in 0.5 M HCOOH + 10 mM H<sub>2</sub>SO<sub>4</sub>; (b) Inset linear fitting of peak current density vs. square root of scan rate.</p>
              </caption>
              <graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="Figure04.jpg"/>
            </fig>
            <fig id="F-05" orientation="portrait" position="float">
              <label>Figure 5</label>
              <caption>
                <p>CV at half wave potential for both bare and modified GCE in 0.5 M FA in 10 mM H<sub>2</sub>SO<sub>4</sub> at 50 mVs<sup>-1</sup> scan rates.</p>
              </caption>
              <graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="Figure05.jpg"/>
            </fig>
            <table-wrap id="T-02" orientation="portrait" position="anchor">
              <label>Table 2</label>
              <caption>
                <title>Electrochemical parameters obtained for bare and g-C<sub>3</sub>N<sub>4</sub>-modified glassy carbon electrodes during formic acid oxidation.</title>
              </caption>
              <table frame="lhs" rules="none">
                <thead>
                  <tr>
                    <td align="left" valign="middle"><bold>Concentration (M)</bold></td>
                    <td align="left" valign="middle">
                      <p><bold>Electrochemical Active Surface Area</bold></p>
                      <p><bold>(ECSA) (cm<sup>2</sup>)</bold></p>
                    </td>
                    <td align="left" valign="middle">
                      <p><bold>Peak current density</bold></p>
                      <p><bold>(mA cm<sup>-2</sup>)</bold></p>
                    </td>
                  </tr>
                </thead>
                <tbody>
                  <tr>
                    <td align="left" valign="middle" colspan="3"><bold>Bare GCE</bold></td>
                  </tr>
                  <tr>
                    <td align="left" valign="middle">0.1 M</td>
                    <td align="left" valign="middle">3.09 &#x00D7; 10<sup>-6</sup></td>
                    <td align="left" valign="middle">6.83 &#x00D7; 10<sup>4</sup></td>
                  </tr>
                  <tr>
                    <td align="left" valign="middle">0.5 M</td>
                    <td align="left" valign="middle">2.83 &#x00D7; 10<sup>-6</sup></td>
                    <td align="left" valign="middle">1.52 &#x00D7; 10<sup>5</sup></td>
                  </tr>
                  <tr>
                    <td align="left" valign="middle">1 M</td>
                    <td align="left" valign="middle">1.41 &#x00D7; 10<sup>-6</sup></td>
                    <td align="left" valign="middle">3.06 &#x00D7; 10<sup>5</sup></td>
                  </tr>
                  <tr>
                    <td align="left" valign="middle" colspan="3"><bold>Modified GCE</bold></td>
                  </tr>
                  <tr>
                    <td align="left" valign="middle">0.1 M</td>
                    <td align="left" valign="middle">7.26 &#x00D7; 10<sup>-6</sup></td>
                    <td align="left" valign="middle">6.62 &#x00D7; 10<sup>6</sup></td>
                  </tr>
                  <tr>
                    <td align="left" valign="middle">0.5 M</td>
                    <td align="left" valign="middle">2.41 &#x00D7; 10<sup>-6</sup></td>
                    <td align="left" valign="middle">9.23 &#x00D7; 10<sup>6</sup></td>
                  </tr>
                  <tr>
                    <td align="left" valign="middle">1.0 M</td>
                    <td align="left" valign="middle">3.10 &#x00D7; 10<sup>-6</sup></td>
                    <td align="left" valign="middle">13.58 &#x00D7;10<sup>6</sup></td>
                  </tr>
                </tbody>
              </table>
            </table-wrap>
            <p>In electrochemistry, peak current density (<italic>j</italic><sub>p</sub>) signifies the highest level of current measured during a species&#x2019; oxidation or reduction at the electrode&#x2019;s surface. It&#x2019;s commonly expressed in milliamps per square centimeter (mA cm<sup>-2</sup>) and considers the electrode&#x2019;s size. This allows for a more precise comparison of electrocatalytic activity between different electrodes. Generally, higher peak current densities correspond to improved electrocatalytic performance, suggesting a more efficient catalyst [<xref ref-type="bibr" rid="B-029">29</xref>,<xref ref-type="bibr" rid="B-030">30</xref>]. As shown in <xref ref-type="table" rid="T-02">Table 2</xref>, the peak current density values exhibit a minimum tenfold increase across all concentrations due to the modification.</p>
            <p>The electrochemical surface area (ECSA) represents the portion of the electrode surface actively participating in the electrochemical reaction. A larger ECSA typically means more active sites available for the catalytic reaction, potentially leading to improved performance [<xref ref-type="bibr" rid="B-031">31</xref>,<xref ref-type="bibr" rid="B-032">32</xref>]. The higher ECSA for the modified electrode would suggest the presence of more active sites for formic acid oxidation compared to the bare GCE.</p>
            <p>The diffusion coefficient of formic acid was estimated from the Warburg impedance coefficient obtained from electrochemical impedance spectroscopy (EIS) measurements. The diffusion coefficient was calculated according to Equation (3), where <italic>R</italic> is the universal gas constant, <italic>T</italic> is the absolute temperature, <italic>A</italic> is the electrode area, n is the number of electrons transferred, F is the Faraday constant, <italic>C</italic> is the concentration of formic acid, and <italic>&#x03C3;</italic> is the Warburg coefficient obtained from equivalent circuit fitting, which simplifies to (Equation 3):</p>
            <disp-formula>
              <mml:math display="block" id="eq-003">
                <mml:mtable>
                  <mml:mtr>
                    <mml:mtd>
                      <mml:mrow>
                        <mml:maligngroup/>
                        <mml:mi>D</mml:mi>
                        <mml:mo>=</mml:mo>
                        <mml:mn>0.5</mml:mn>
                        <mml:msup>
                          <mml:mrow>
                            <mml:mo>(</mml:mo>
                            <mml:mrow>
                              <mml:mfrac>
                                <mml:mrow>
                                  <mml:mi>R</mml:mi>
                                  <mml:mi>T</mml:mi>
                                </mml:mrow>
                                <mml:mrow>
                                  <mml:mi>A</mml:mi>
                                  <mml:msup>
                                    <mml:mi>n</mml:mi>
                                    <mml:mn>2</mml:mn>
                                  </mml:msup>
                                  <mml:msup>
                                    <mml:mi>F</mml:mi>
                                    <mml:mn>2</mml:mn>
                                  </mml:msup>
                                  <mml:mi>C</mml:mi>
                                  <mml:mi>&#x03C3;</mml:mi>
                                </mml:mrow>
                              </mml:mfrac>
                            </mml:mrow>
                            <mml:mo>)</mml:mo>
                          </mml:mrow>
                          <mml:mn>2</mml:mn>
                        </mml:msup>
                      </mml:mrow>
                    </mml:mtd>
                    <mml:mtd>
                      <mml:mtext>(3)</mml:mtext>
                    </mml:mtd>
                  </mml:mtr>
                </mml:mtable>
              </mml:math>
            </disp-formula>
            <p>The results presented in <xref ref-type="table" rid="T-02">Table 2</xref> demonstrate that modification of the glassy carbon electrode with g-C<sub>3</sub>N<sub>4</sub> significantly enhanced its electrochemical performance toward formic acid oxidation. The modified electrode exhibited substantially higher peak current densities and lower charge-transfer resistance (<italic>R</italic><sub>ct</sub>) compared with the bare electrode, indicating improved electrocatalytic activity and faster interfacial electron-transfer kinetics. In addition, the larger electrochemically active surface area (ECSA) observed for the modified electrode suggests more accessible catalytic sites for formic acid oxidation [<xref ref-type="bibr" rid="B-033">33</xref>,<xref ref-type="bibr" rid="B-034">34</xref>,<xref ref-type="bibr" rid="B-035">35</xref>].</p>
          </sec>
          <sec id="sec-03-03-02">
            <label>3.3.2</label>
            <title>Electrochemical Impedance Spectroscopy Analysis</title>
            <p>A detailed analysis of the Nyquist plots in <xref ref-type="fig" rid="F-06">Figure 6</xref> reveals a significant reduction in the diameter of the semicircle for the modified electrode compared to the bare GCE. This 77% decrease suggests enhanced electron-transfer efficiency at the electrode-electrolyte interface. This improvement can be attributed to the increased conductivity of the modified surface due to the incorporation of g-C<sub>3</sub>N<sub>4</sub>. The corresponding decrease in charge-transfer resistance (<italic>R</italic><sub>ct</sub>) for the modified electrode further supports this conclusion. The lower <italic>R</italic><sub>ct</sub> signifies faster charge transfer kinetics during the formic acid electrooxidation reaction (FAEOR) on the modified electrode. These findings align with previous studies by Jung et al. [<xref ref-type="bibr" rid="B-036">36</xref>] and Gao &#x0026; Goodman [<xref ref-type="bibr" rid="B-037">37</xref>], which highlight the importance of electronic modifications in improving electrocatalytic performance. One possible explanation for the improved electron transfer efficiency could be the creation of additional pathways for electron transfer between the electrode and the reactants due to the incorporation of g-C<sub>3</sub>N<sub>4</sub>.</p>
            <fig id="F-06" orientation="portrait" position="float">
              <label>Figure 6</label>
              <caption>
                <p>Impedance spectra of the bare and modified GCE electrodes.</p>
              </caption>
              <graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="Figure06.jpg"/>
            </fig>
            <p><xref ref-type="fig" rid="F-07">Figure 7</xref> illustrates the equivalent electrical circuit employed to fit the EIS data obtained for both the bare GC and the modified GC electrode. This circuit comprises the electrolyte solution resistance (<italic>R</italic><sub>s</sub>), the double-layer capacitance (<italic>C</italic><sub>dl</sub>), the charge-transfer resistance (<italic>R</italic><sub>ct</sub>), and the Warburg impedance (<italic>W</italic>). The Warburg element accounts for the diffusion of ions from the bulk electrolyte towards the electrode interface.</p>
            <fig id="F-07" orientation="portrait" position="float">
              <label>Figure 7</label>
              <caption>
                <p>A simple Randles equivalent electrical circuit (EEC) used in fitting the EIS data.</p>
              </caption>
              <graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="Figure07.jpg"/>
            </fig>
          </sec>
        </sec>
        <sec id="sec-03-04">
          <label>3.4</label>
          <title>Chronoamperometry</title>
          <p>We used chronoamperometry to assess further the electrocatalytic performance and stability of the bare GCE and g-C<sub>3</sub>N<sub>4</sub>-modified GCE (GC/g-C<sub>3</sub>N<sub>4</sub>) for formic acid oxidation (FAO) (<xref ref-type="fig" rid="F-08">Figure 8</xref>). This technique involves applying a constant potential and monitoring the resulting current over time. As observed in <xref ref-type="fig" rid="F-08">Figure 8</xref>, the current initially decreases for both electrodes after applying the potential. This initial decay is common in FA oxidation. It is often attributed to the accumulation of adsorbed intermediates, such as CO, which can block active sites on the electrode surface and reduce catalytic activity [<xref ref-type="bibr" rid="B-038">38</xref>,<xref ref-type="bibr" rid="B-039">39</xref>].</p>
          <fig id="F-08" orientation="portrait" position="float">
            <label>Figure 8</label>
            <caption>
              <p>CA plots showing the comparable stability of the two electrode systems.</p>
            </caption>
            <graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="Figure08.jpg"/>
          </fig>
          <p>After this initial decrease, both electrodes show a more stable, sustained current, indicating their ability to maintain some activity for FA oxidation. Importantly, the chronoamperometry data reveals that the GC/g-C<sub>3</sub>N<sub>4</sub> electrode exhibits a higher steady-state current density compared to the bare GCE over the extended time period. This observation suggests that the g-C<sub>3</sub>N<sub>4</sub> modification improved the catalyst&#x2019;s resistance to poisoning by CO intermediates, enhancing long-term stability for FA oxidation.</p>
          <sec id="sec-03-04-01">
            <label>3.4.1</label>
            <title>Surface Characterization of the Glassy Carbon Electrodes</title>
            <p><xref ref-type="fig" rid="F-09">Figure 9</xref> presents atomic force microscopy (AFM) images in topography mode for (a) a freshly polished GCE, (b) g-C<sub>3</sub>N<sub>4</sub>-modified GCE, and (c) the bare GCE after a few runs in the electrolyte. All images are shown at the same scale for easier comparison, as in <xref ref-type="fig" rid="F-09">Figures 9b</xref> and <xref ref-type="fig" rid="F-09">9c</xref>. Both the modified and bare GCEs after use exhibit heterogeneous surface features, characterized by a roughness that is not apparent on the freshly polished GCE <xref ref-type="fig" rid="F-09">Figure 9a</xref>. This surface roughness likely arises from electrochemical processes during formic acid oxidation. <xref ref-type="fig" rid="F-09">Figure 9c</xref> also shows some areas with a lower surface profile compared to the rest. These areas could potentially be uncovered regions of the glassy carbon substrate or microcracks that formed during the experiment. One possible explanation is a non-uniform g-C<sub>3</sub>N<sub>4</sub> layer during modification, resulting in incomplete coverage of the underlying glassy carbon.</p>
            <fig id="F-09" orientation="portrait" position="float">
              <label>Figure 9</label>
              <caption>
                <p>AFM topographic images of (a) freshly polished GCE, (b) g-C<sub>3</sub>N<sub>4</sub>-modified GCE, and (c) bare GCE after electrochemical measurements.</p>
              </caption>
              <graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="Figure09.jpg"/>
            </fig>
          </sec>
          <sec id="sec-03-04-02">
            <label>3.4.2</label>
            <title>Raman Spectral Analysis</title>
            <p>The Raman spectra in <xref ref-type="fig" rid="F-10">Figure 10</xref> show distinct differences between the bare GCE and the g-C<sub>3</sub>N<sub>4</sub>/GCE electrode, confirming that surface modification significantly altered its vibrational characteristics. Compared with the bare GCE, the g-C<sub>3</sub>N<sub>4</sub>/GCE electrode exhibits enhanced Raman intensity together with broader spectral features, indicating the successful incorporation of graphitic carbon nitride onto the electrode surface. The observed spectral changes are consistent with the formation of a nanostructured, conjugated carbon nitride network and suggest increased structural disorder arising from the interaction between g-C<sub>3</sub>N<sub>4</sub> and the glassy carbon substrate. Such structural modification is expected to increase the electrochemically active surface area, expose additional catalytic active sites, and facilitate electron transfer at the electrode/electrolyte interface. Furthermore, the conjugated framework of g-C<sub>3</sub>N<sub>4</sub> is anticipated to promote stronger adsorption of formic acid molecules, thereby enhancing the kinetics of the formic acid oxidation reaction. These structural characteristics align well with the superior electrocatalytic performance observed for the g-C<sub>3</sub>N<sub>4</sub>/GCE electrode in the electrochemical measurements.</p>
            <fig id="F-10" orientation="portrait" position="float">
              <label>Figure 10</label>
              <caption>
                <p>Raman Spectroscopy images of (A) Bare GCE (B) g-C<sub>3</sub>N<sub>4</sub>/GCE.</p>
              </caption>
              <graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="Figure10.jpg"/>
            </fig>
          </sec>
        </sec>
        <sec id="sec-03-05">
          <label>3.5</label>
          <title>Frontier Molecular Orbital Analysis</title>
          <p>The optimized graphitic carbon slab employed as the computational model of the glassy carbon electrode is shown in <xref ref-type="fig" rid="F-11">Figure 11</xref>. Geometry optimization preserved the hexagonal graphitic framework without significant structural distortion, confirming the structural stability of the model and its suitability for subsequent electronic structure and adsorption calculations.</p>
          <fig id="F-11" orientation="portrait" position="float">
            <label>Figure 11</label>
            <caption>
              <p>Optimized graphitic carbon (GCE) model.</p>
            </caption>
            <graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="Figure11.jpg"/>
          </fig>
          <p>The optimized structures together with the frontier molecular orbitals (HOMO and LUMO) of formic acid and nano-g-C<sub>3</sub>N<sub>4</sub> are presented in <xref ref-type="fig" rid="F-12">Figure 12</xref>. Geometry optimization maintained the structural integrity of both species. The nano-g-C<sub>3</sub>N<sub>4</sub> retained its characteristic conjugated carbon-nitrogen network, while formic acid preserved its expected molecular geometry. These optimized structures formed the basis for evaluating their electronic properties.</p>
          <fig id="F-12" orientation="portrait" position="float">
            <label>Figure 12</label>
            <caption>
              <p>Optimized Structures and frontier molecular orbitals (HOMO and LUMO) of formic acid and g-C<sub>3</sub>N<sub>4</sub> (Triazine). (legend: Carbon = gray; Oxygen = red; Nitrogen = blue; Hydrogen = white) (BIOVIA Materials Studio, version 2021).</p>
            </caption>
            <graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="Figure12.jpg"/>
          </fig>
          <p>The calculated HOMO and LUMO energies of nano-g-C<sub>3</sub>N<sub>4</sub> were -5.051 and -1.932 eV, respectively, corresponding to a HOMO-LUMO energy gap (<italic>E</italic><sub>g</sub>) of 3.119 eV. In comparison, formic acid exhibited HOMO and LUMO energies of -6.912 and -1.418 eV, respectively, giving a much larger energy gap of 5.494 eV.</p>
          <p>As shown in <xref ref-type="fig" rid="F-12">Figure 12</xref>, the frontier molecular orbitals of nano-g-C<sub>3</sub>N<sub>4</sub> are extensively delocalized over the conjugated carbon-nitrogen framework, whereas those of formic acid are mainly localized around the carboxyl functional group. In contrast, those of formic acid are mainly localized around the carboxyl functional group.</p>
          <p>The considerably smaller energy gap of nano-g-C<sub>3</sub>N<sub>4</sub> indicates that electrons require less energy to be excited from the HOMO to the LUMO, reflecting improved electronic conductivity and enhanced charge-transfer capability. Moreover, extensive orbital delocalization across the nano-g-C<sub>3</sub>N<sub>4</sub> framework provides continuous pathways for electron migration, which is advantageous for electrocatalytic oxidation reactions. These electronic characteristics suggest that nano-g-C<sub>3</sub>N<sub>4</sub> can facilitate rapid electron transfer between the electrode surface and adsorbed formic acid molecules, thereby improving the kinetics of formic acid oxidation.</p>
          <p>The optimized adsorption configurations of formic acid on the bare graphitic carbon and nano-g-C<sub>3</sub>N<sub>4</sub>-modified graphitic carbon surfaces are presented in <xref ref-type="fig" rid="F-13">Figure 13</xref>. The side-view structures show the layered arrangement of the graphitic substrate, the nano-g-C<sub>3</sub>N<sub>4</sub> modifier, and the adsorbed formic acid molecule. In contrast, the top-view structures reveal the preferred adsorption sites on the respective surfaces. The calculated adsorption energy of formic acid on the nano-g-C<sub>3</sub>N<sub>4</sub>-modified surface was -83.672 kcal mol<sup>-1</sup>, substantially more negative than on the bare graphitic carbon surface (-65.365 kcal mol<sup>-1</sup>). This result demonstrates that nano-g-C<sub>3</sub>N<sub>4</sub> significantly strengthens the interaction between formic acid and the electrode surface, thereby increasing the stability of the adsorbed species.</p>
          <fig id="F-13" orientation="portrait" position="float">
            <label>Figure 13</label>
            <caption>
              <p>Optimized adsorption configuration of formic acid on the nano-g-C<sub>3</sub>N<sub>4</sub>/GCE composite: top and side view perspectives.</p>
            </caption>
            <graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="Figure13.jpg"/>
          </fig>
          <p>Overall, the DFT calculations provide molecular-level support for the electrochemical results. The lower HOMO-LUMO energy gap and highly delocalized frontier orbitals of nano-g-C<sub>3</sub>N<sub>4</sub> facilitate efficient electron transport. At the same time, the stronger adsorption of formic acid on the modified surface increases the availability of electroactive species at the electrode/electrolyte interface. These synergistic effects account for the enhanced oxidation current observed in cyclic voltammetry, the lower charge-transfer resistance in electrochemical impedance spectroscopy, and the superior electrocatalytic performance of the nano-g-C<sub>3</sub>N<sub>4</sub>-modified glassy carbon electrode toward formic acid oxidation.</p>
        </sec>
        <sec id="sec-03-06">
          <label>3.6</label>
          <title>Proposed Mechanism for Formic Acid Oxidation on Nano-g-C<sub>3</sub>N<sub>4</sub>/GCE</title>
          <p><xref ref-type="fig" rid="F-14">Figure 14</xref> presents the proposed mechanism for electrocatalytic formic acid oxidation on the nano-g-C<sub>3</sub>N<sub>4</sub>-modified glassy carbon electrode. Formic acid molecules are initially adsorbed onto the g-C<sub>3</sub>N<sub>4</sub>-modified surface through interactions with the nitrogen-rich active sites, consistent with the more negative adsorption energy obtained from the molecular modelling calculations. The conjugated &#x03C0;-electron network of g-C<sub>3</sub>N<sub>4</sub> facilitates rapid electron transport from the adsorbed formic acid molecules to the underlying glassy carbon electrode, thereby accelerating the oxidation reaction.</p>
          <fig id="F-14" orientation="portrait" position="float">
            <label>Figure 14</label>
            <caption>
              <p>Proposed mechanism for formic acid oxidation on nano-g-C<sub>3</sub>N<sub>4</sub>/GCE.</p>
            </caption>
            <graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="Figure14.jpg"/>
          </fig>
          <p>The enhanced adsorption of formic acid on the modified surface increases the concentration of electroactive species at the electrode/electrolyte interface. At the same time, the smaller HOMO-LUMO energy gap and extensive orbital delocalization of g-C<sub>3</sub>N<sub>4</sub> promote efficient charge transfer. These electronic characteristics agree with the electrochemical results, which showed significantly higher oxidation current densities and lower charge-transfer resistance for the modified electrode compared with the bare GCE. The oxidation of formic acid ultimately produces carbon dioxide with the release of protons and electrons according to: The proposed mechanism therefore suggests that the principal role of nano-g-C<sub>3</sub>N<sub>4</sub> is not to serve as a reactant but to provide abundant adsorption sites and efficient electron-transfer pathways that lower the kinetic barrier for formic acid electrooxidation, leading to the observed enhancement in electrocatalytic performance.</p>
        </sec>
      </sec>
      <sec id="sec-04">
        <label>4.</label>
        <title>Conclusion</title>
        <p>This study demonstrated enhanced formic acid oxidation reaction (FAOR) by modifying a glassy carbon (GC) electrode with g-C<sub>3</sub>N<sub>4</sub> nanoparticles (NPs). Key electrochemical techniques, including cyclic voltammetry (CV), electrochemical impedance spectroscopy (EIS), and chronoamperometry (CA), were employed to characterize the modified electrodes. The analysis revealed superior electrocatalytic performance for the g-C<sub>3</sub>N<sub>4</sub>/GC electrode compared to the bare GCE. This improvement was evident in higher peak current densities in CV and lower <italic>R</italic><sub>ct</sub> values in EIS. The modified electrode also displayed a larger electrochemically active surface area and facilitated faster charge-transfer kinetics at the electrode-electrolyte interface. These characteristics can be attributed to the increased conductivity and presence of more active sites due to g-C<sub>3</sub>N<sub>4</sub>. Overall, the findings suggest that g-C<sub>3</sub>N<sub>4</sub>/GC electrodes hold promise for advancing formic acid fuel cell technologies.</p>
        <p>Although the present study focused on acidic media relevant to direct formic acid fuel cells, future investigations should evaluate the electrocatalytic performance of the g-C<sub>3</sub>N<sub>4</sub>-modified electrode under alkaline conditions to assess its broader applicability and reaction behavior across different electrolyte environments.</p>
      </sec>
  </body>
  <back>
      <ack>
        <title>Acknowledgments</title>
        <p>This work was supported by African Centre of Excellence in Future Energies and Electrochemical Systems Federal University of Technology Owerri (ACE-FUTO | FUTO) Nigeria, under the sponsorship of World Bank.</p>
      </ack>
      <notes>
        <title>Author Contributions</title>
        <p>Emeka Emmanuel Oguzie: Conceptualization, Visualization. Christogonus Oudney Akalezi: Supervision, Writing-review &#x0026; editing. Bashiru Ibrahim Hamza: Investigation. Writing-original draft. Kanayo Lucy Oguzie: Supervision, Resources. John Ojinere Anyanwu: Methodology, Investigation.</p>
      </notes>
      <notes>
        <title>Competing Interests</title>
        <p>The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.</p>
      </notes>
      <notes>
        <title>Data Availability Statement</title>
        <p>Data will be made available on request.</p>
      </notes>
      <notes>
        <title>AI-Assisted Technologies Statement</title>
        <p>AI disclosure:  This manuscript was conceived, designed, interpreted, and written by the authors. All scientific analyses, experimental procedures, data interpretation, and conclusions are entirely the work of the authors. Artificial intelligence tools (OpenAI ChatGPT) were used solely for grammar checking, language editing, and improvement of readability, and ChatGPT assisted with the reorganization of graphical elements and visual refinement of <xref ref-type="fig" rid="F-14">Figure 14</xref>. No AI tool was used to generate scientific data, perform analyses, interpret results, or formulate conclusions. The authors carefully reviewed and edited all AI-assisted text and took full responsibility for the content of this manuscript.</p>
      </notes>
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