<?xml version="1.0" encoding="UTF-8"?><!DOCTYPE article PUBLIC "-//NLM//DTD Journal Publishing DTD v3.0 20080202//EN" "http://dtd.nlm.nih.gov/publishing/3.0/journalpublishing3.dtd">
<article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" dtd-version="3.0" xml:lang="en" article-type="research article">
 <front>
  <journal-meta>
   <journal-id journal-id-type="publisher-id">
    ajac
   </journal-id>
   <journal-title-group>
    <journal-title>
     American Journal of Analytical Chemistry
    </journal-title>
   </journal-title-group>
   <issn pub-type="epub">
    2156-8251
   </issn>
   <issn publication-format="print">
    2156-8278
   </issn>
   <publisher>
    <publisher-name>
     Scientific Research Publishing
    </publisher-name>
   </publisher>
  </journal-meta>
  <article-meta>
   <article-id pub-id-type="doi">
    10.4236/ajac.2025.168009
   </article-id>
   <article-id pub-id-type="publisher-id">
    ajac-144604
   </article-id>
   <article-categories>
    <subj-group subj-group-type="heading">
     <subject>
      Articles
     </subject>
    </subj-group>
    <subj-group subj-group-type="Discipline-v2">
     <subject>
      Chemistry 
     </subject>
     <subject>
       Materials Science
     </subject>
    </subj-group>
   </article-categories>
   <title-group>
    Effect of Ball Milling and Annealing Temperature on Electrochemical Properties of Nsutite Materials
   </title-group>
   <contrib-group>
    <contrib contrib-type="author" xlink:type="simple">
     <name name-style="western">
      <surname>
       Manika
      </surname>
      <given-names>
       Chaudhary
      </given-names>
     </name> 
     <xref ref-type="aff" rid="aff1"> 
      <sup>1</sup>
     </xref>
    </contrib>
    <contrib contrib-type="author" xlink:type="simple">
     <name name-style="western">
      <surname>
       Michael
      </surname>
      <given-names>
       Gammon
      </given-names>
     </name> 
     <xref ref-type="aff" rid="aff1"> 
      <sup>1</sup>
     </xref>
    </contrib>
    <contrib contrib-type="author" xlink:type="simple">
     <name name-style="western">
      <surname>
       Lekan J.
      </surname>
      <given-names>
       Oyelola
      </given-names>
     </name> 
     <xref ref-type="aff" rid="aff1"> 
      <sup>1</sup>
     </xref>
    </contrib>
    <contrib contrib-type="author" xlink:type="simple">
     <name name-style="western">
      <surname>
       Noah
      </surname>
      <given-names>
       Lee
      </given-names>
     </name> 
     <xref ref-type="aff" rid="aff1"> 
      <sup>1</sup>
     </xref>
    </contrib>
    <contrib contrib-type="author" xlink:type="simple">
     <name name-style="western">
      <surname>
       Tess E.
      </surname>
      <given-names>
       Masi
      </given-names>
     </name> 
     <xref ref-type="aff" rid="aff1"> 
      <sup>1</sup>
     </xref>
    </contrib>
    <contrib contrib-type="author" xlink:type="simple">
     <name name-style="western">
      <surname>
       Vikhyat
      </surname>
      <given-names>
       Sahi
      </given-names>
     </name> 
     <xref ref-type="aff" rid="aff2"> 
      <sup>2</sup>
     </xref>
    </contrib>
    <contrib contrib-type="author" xlink:type="simple">
     <name name-style="western">
      <surname>
       Peter K.
      </surname>
      <given-names>
       LeMaire
      </given-names>
     </name> 
     <xref ref-type="aff" rid="aff1"> 
      <sup>1</sup>
     </xref>
    </contrib>
    <contrib contrib-type="author" xlink:type="simple">
     <name name-style="western">
      <surname>
       Rahul
      </surname>
      <given-names>
       Singhal
      </given-names>
     </name> 
     <xref ref-type="aff" rid="aff1"> 
      <sup>1</sup>
     </xref>
    </contrib>
   </contrib-group> 
   <aff id="aff1">
    <addr-line>
     aDepartment of Physics and Engineering Physics, Central Connecticut State University, New Britain, USA
    </addr-line> 
   </aff> 
   <aff id="aff2">
    <addr-line>
     aRouse High School, Leander, USA
    </addr-line> 
   </aff> 
   <pub-date pub-type="epub">
    <day>
     06
    </day> 
    <month>
     08
    </month>
    <year>
     2025
    </year>
   </pub-date> 
   <volume>
    16
   </volume> 
   <issue>
    08
   </issue>
   <fpage>
    153
   </fpage>
   <lpage>
    160
   </lpage>
   <history>
    <date date-type="received">
     <day>
      11,
     </day>
     <month>
      April
     </month>
     <year>
      2025
     </year>
    </date>
    <date date-type="published">
     <day>
      3,
     </day>
     <month>
      April
     </month>
     <year>
      2025
     </year> 
    </date> 
    <date date-type="accepted">
     <day>
      3,
     </day>
     <month>
      August
     </month>
     <year>
      2025
     </year> 
    </date>
   </history>
   <permissions>
    <copyright-statement>
     © Copyright 2014 by authors and Scientific Research Publishing Inc. 
    </copyright-statement>
    <copyright-year>
     2014
    </copyright-year>
    <license>
     <license-p>
      This work is licensed under the Creative Commons Attribution International License (CC BY). http://creativecommons.org/licenses/by/4.0/
     </license-p>
    </license>
   </permissions>
   <abstract>
    In our previous study, we found that nsutite materials showed electrochemical properties and can be found suitable for supercapacitor applications. In this study, we ball milled and annealed the nsutite materials at different temperatures, based on the transition temperatures obtained from differential thermal analysis and thermogravimetric analysis (DSC/TGA). X-ray diffraction studies confirmed the gamma-MnO
    <sub>2</sub> phase of nsutite material, and electrochemical studies showed electrochemical behavior. The specific capacitance of ball milled nsutite material was 36 F/g at 0.5 A/g current density. The specific capacitance of the ball milled samples annealed at 350˚C and 580˚C was 18 F/g and 11.3 F/g, respectively at a current density of 0.5 A/g.
   </abstract>
   <kwd-group> 
    <kwd>
     Supercapacitor
    </kwd> 
    <kwd>
      Nsutite
    </kwd> 
    <kwd>
      Specific Capacitance
    </kwd> 
    <kwd>
      Energy Storage
    </kwd> 
    <kwd>
      XRD
    </kwd>
   </kwd-group>
  </article-meta>
 </front>
 <body>
  <sec id="s1">
   <title>1. Introduction</title>
   <p>To meet current and future energy needs, scientists are looking for alternate renewable energy sources. Also, there is a need of reliable energy storage devices to store the energy produced by alternate renewable energy sources. Rechargeable batteries <xref ref-type="bibr" rid="scirp.144604-1">
     [1]
    </xref> <xref ref-type="bibr" rid="scirp.144604-2">
     [2]
    </xref> and supercapacitors <xref ref-type="bibr" rid="scirp.144604-3">
     [3]
    </xref> <xref ref-type="bibr" rid="scirp.144604-4">
     [4]
    </xref> are promising energy storage devices. Over the years, scientists have been looking for cheap, environmentally friendly, and high energy density supercapacitor materials <xref ref-type="bibr" rid="scirp.144604-5">
     [5]
    </xref>. Various transition metal oxides <xref ref-type="bibr" rid="scirp.144604-6">
     [6]
    </xref>-<xref ref-type="bibr" rid="scirp.144604-8">
     [8]
    </xref>, sulfides <xref ref-type="bibr" rid="scirp.144604-9">
     [9]
    </xref> <xref ref-type="bibr" rid="scirp.144604-10">
     [10]
    </xref>, and nitrides <xref ref-type="bibr" rid="scirp.144604-11">
     [11]
    </xref> materials have been found to be suitable for supercapacitor applications. Among these materials, MnO<sub>2</sub> <xref ref-type="bibr" rid="scirp.144604-12">
     [12]
    </xref> are considered and promising material for supercapacitor applications because of its good electrochemical properties, environmental friendliness, abundance in nature and low cost. Li and coworkers synthesized MnO<sub>2</sub> by one pot method and reported its specific capacitance as 124.9 F/g at 1 A/g <xref ref-type="bibr" rid="scirp.144604-13">
     [13]
    </xref>. Naturally MnO<sub>2</sub> can be obtained from nsutite, an ore found in a town called Nsuta in Ghana. Nsutite has the composition 
    <math display="inline" xmlns="http://www.w3.org/1998/Math/MathML"> <mrow> 
      <msubsup> 
       <mrow> 
        <mtext>
          Mn 
        </mtext> 
       </mrow> 
       <mrow> 
        <mn>
          1 
        </mn> 
        <mo>
          − 
        </mo> 
        <mi>
          x 
        </mi> 
       </mrow> 
       <mrow> 
        <mn>
          4 
        </mn> 
        <mo>
          + 
        </mo> 
       </mrow> 
      </msubsup> 
      <msubsup> 
       <mrow> 
        <mtext>
          Mn 
        </mtext> 
       </mrow> 
       <mi>
         x 
       </mi> 
       <mrow> 
        <mn>
          2 
        </mn> 
        <mo>
          + 
        </mo> 
       </mrow> 
      </msubsup> 
      <msub> 
       <mtext>
         O 
       </mtext> 
       <mrow> 
        <mn>
          2 
        </mn> 
        <mo>
          − 
        </mo> 
        <mn>
          2 
        </mn> 
        <mi>
          x 
        </mi> 
       </mrow> 
      </msub> 
      <msub> 
       <mrow> 
        <mrow> 
         <mo>
           ( 
         </mo> 
         <mrow> 
          <mtext>
            OH 
          </mtext> 
         </mrow> 
         <mo>
           ) 
         </mo> 
        </mrow> 
       </mrow> 
       <mrow> 
        <mn>
          2 
        </mn> 
        <mi>
          x 
        </mi> 
       </mrow> 
      </msub> 
     </mrow> 
    </math> where x = 0.06 - 0.07 <xref ref-type="bibr" rid="scirp.144604-14">
     [14]
    </xref>. It was reported that naturally occurring MnO<sub>2</sub> can be used for supercapacitor applications <xref ref-type="bibr" rid="scirp.144604-15">
     [15]
    </xref>. In our previous article, we found that pure nsutite materials showed the electrochemical behavior and the specific capacitance of pure nsutite material was found as 14.65 F/g at a current density of 1 A/g <xref ref-type="bibr" rid="scirp.144604-16">
     [16]
    </xref>. In order to further improve the electrochemical properties of the nsutite materials we ball milled and then annealed the materials. The effect of the annealing temperature on electrochemical behavior of nsutite was studied and reported in this paper.</p>
  </sec><sec id="s2">
   <title>2. Materials and Characterizations</title>
   <p>Nsutite samples were obtained from Ghana Manganese Company, Nsuta, Ghana, where nsutite was first discovered. Sodium sulfate was received from Alfa Aesar, USA and used as received. Nsutite samples were crushed into small pieces and then ball milled using Planetary Ball Mill [ACROSS International USA, Model PQ-N04]. The nsutite samples were ball milled using 8 silica ball of 6 mm and at the rate of 300 rpm for 15 minutes and then paused for 15 min and the cycle was repeated 32 times. The counter cylinder had equal weight of sand and 8 silica balls.</p>
   <p>
    <xref ref-type="bibr" rid="scirp.144604-"></xref>The ball milled sample was characterized using DSC/TGA and then annealed at 350˚C and 580˚C based on the transitions seen from DSC/TGA thermogram <xref ref-type="bibr" rid="scirp.144604-16">
     [16]
    </xref>. X-ray diffraction studies of ball milled and annealed ball milled samples were carried out using Rigaku Miniflex-II x-ray diffractometer employing Cu K<sub>α</sub> radiation with a wavelength of 1.5406 Å at a scan rate of 3˚ min<sup>−</sup><sup>1</sup>.</p>
   <p>The slurry of the nsutite materials were prepared by mixing 80% of the nsutite material, 10% carbon black, and 10% PVDF binder using n-NMP as a solvent in a pastel mortar. The slurry was then coated onto Ni foil and dried overnight. The mass of the active materials on the electrodes was between 3.0 mg - 5.0 mg. The electrochemical studies were performed using a Squidstat plus potentiostat (Admiral Instruments, USA). The electrochemical characterization was carried out in a three-electrode cell configuration using prepared nsutite electrodes, Pt. foil, and Ag/AgCl as working, counter, and reference electrode, respectively. 1 M sodium sulfate aqueous solution was used as electrolyte.</p>
  </sec><sec id="s3">
   <title>3. Results and Discussions</title>
   <p>
    <xref ref-type="fig" rid="fig1">
     Figure 1
    </xref>. shows the X-ray diffraction pattern of pure and annealed ball milled nsutite. Pure ball milled sample has peaks at 2θ/(d-spacing, Å) 22.46˚/3.96 Å, 26.8/3.33 Å, 28.76˚/3.10 Å, 37.3˚/2.41 Å, 38.42˚/2.34 Å, 42.6˚/2.12 Å, 56.24˚/1.64 Å, 65.18˚/1.43 Å, 69.28˚/1.36 Å, and 71.8˚/1.31 Å. The results indicates that the ball milled samples correspond to 1.64 type nsutite, containing 90.57% manganese, which was further determined as gamma MnO<sub>2</sub> <xref ref-type="bibr" rid="scirp.144604-17">
     [17]
    </xref>. Upon heating the materials some peaks disappear and at 580˚C MnO<sub>2</sub> converted to Mn<sub>2</sub>O<sub>3</sub>, which is in agreement with the literature <xref ref-type="bibr" rid="scirp.144604-18">
     [18]
    </xref>.</p>
   <p>
    <xref ref-type="fig" rid="fig2">
     Figure 2
    </xref> represents the cyclic voltammogram of various nsutite samples. The cyclic voltammetric studies were performed in air atmosphere at room temperature</p>
   <fig id="fig1" position="float">
    <label>Figure 1</label>
    <caption>
     <title>Figure 1. X-ray diffraction studies of (a) pure ball milled nsutite, (b) ball milled sample annealed at 350˚C, and (c) ball milled sample annealed at 580˚C.</title>
    </caption>
    <graphic mimetype="image" position="float" xlink:type="simple" xlink:href="https://html.scirp.org/file/2202380-rId17.jpeg?20250806103604" />
   </fig>
   <fig id="fig2" position="float">
    <label>Figure 2</label>
    <caption>
     <title>Figure 2. Cyclic voltammetric studies of (a) pure ball milled nsutite, (b) ball milled sample annealed at 350˚C, and (c) ball milled sample annealed at 580˚C.</title>
    </caption>
    <graphic mimetype="image" position="float" xlink:type="simple" xlink:href="https://html.scirp.org/file/2202380-rId18.jpeg?20250806103604" />
   </fig>
   <p>between 0 V - 1 V at various scan rates such as 10 mV/s, 20 mV/s, 50 mV/s, 75 mV/s, 100 mV/s, 125 mV/s, 150 mV/s, 200 mV/s, 250 mV/s, and 300 mV/s. The specific capacitance from cyclic voltammetric studies was calculated using the formula,</p>
   <p>
    <xref ref-type="bibr" rid="scirp.144604-"></xref> 
    <math display="inline" xmlns="http://www.w3.org/1998/Math/MathML"> <mrow> 
      <msub> 
       <mi>
         C 
       </mi> 
       <mrow> 
        <mi>
          s 
        </mi> 
        <mi>
          p 
        </mi> 
       </mrow> 
      </msub> 
      <mo>
        = 
      </mo> 
      <mrow> 
       <mrow> 
        <mrow> 
         <mo>
           ( 
         </mo> 
         <mrow> 
          <mstyle displaystyle="true"> 
           <mrow> 
            <mo>
              ∫ 
            </mo> 
            <mrow> 
             <mi>
               I 
             </mi> 
             <mo>
               ⋅ 
             </mo> 
             <mi>
               d 
             </mi> 
             <mi>
               V 
             </mi> 
            </mrow> 
           </mrow> 
          </mstyle> 
         </mrow> 
         <mo>
           ) 
         </mo> 
        </mrow> 
       </mrow> 
       <mo>
         / 
       </mo> 
       <mrow> 
        <mrow> 
         <mo>
           ( 
         </mo> 
         <mrow> 
          <mi>
            Δ 
          </mi> 
          <mi>
            V 
          </mi> 
          <mo>
            × 
          </mo> 
          <mi>
            ϑ 
          </mi> 
          <mo>
            × 
          </mo> 
          <mi>
            m 
          </mi> 
         </mrow> 
         <mo>
           ) 
         </mo> 
        </mrow> 
       </mrow> 
      </mrow> 
     </mrow> 
    </math> (1)</p>
   <p>where, I is the current, ΔV is the potential range (V), 
    <math display="inline" xmlns="http://www.w3.org/1998/Math/MathML"> <mi>
       ϑ 
     </mi> 
    </math> represents the scan rate (mV/s) and m (gram) is the mass of the samples.</p>
   <p>It can be seen from <xref ref-type="fig" rid="fig2">
     Figure 2
    </xref> that the shapes of the cyclic voltammogram are almost rectangular, which indicate that the electrodes have charge-discharge capacity. Also, it can be seen from <xref ref-type="fig" rid="fig2">
     Figure 2
    </xref> that the electrodes are stable even at a higher scan rate of 300 mV/s. <xref ref-type="table" rid="table1">
     Table 1
    </xref> shows the specific capacitance of various nsutite samples, obtained from cyclic voltammetric studies. It can be seen from <xref ref-type="table" rid="table1">
     Table 1
    </xref> that the maximum specific capacitance of 63.61 F/g was obtained for pure ball milled sample at a scan rate of 10 mV/s. At a scan rate of 100 mV/s, the specific capacitance for pure ball milled, ball milled samples annealed at 350˚C, and 580˚C was obtained as 49.29 F/g, 11.44 F/g, and 17.53 F/g, respectively.</p>
   <table-wrap id="table1">
    <label>
     <xref ref-type="table" rid="table1">
      Table 1
     </xref></label>
    <caption>
     <title>
      <xref ref-type="bibr" rid="scirp.144604-"></xref>Table 1. Specific capacitance of various nsutite materials obtained from cyclic voltammetric studies.</title>
    </caption>
    <table class="MsoTableGrid custom-table" border="0" cellspacing="0" cellpadding="0"> 
     <tr> 
      <td class="custom-bottom-td acenter" width="18.81%"><p style="text-align:center">Material</p></td> 
      <td class="custom-bottom-td acenter" width="25.64%"><p style="text-align:center">Ball Milled Pure</p></td> 
      <td class="custom-bottom-td acenter" width="27.78%"><p style="text-align:center">Ball Milled 350˚C</p></td> 
      <td class="custom-bottom-td acenter" width="27.77%"><p style="text-align:center">Ball Milled 580˚C</p></td> 
     </tr> 
     <tr> 
      <td class="custom-bottom-td custom-top-td acenter" width="18.81%"><p style="text-align:center">Scan rate (mV/s)</p></td> 
      <td class="custom-bottom-td custom-top-td acenter" width="25.64%"><p style="text-align:center">Specific capacitance (F/g)</p></td> 
      <td class="custom-bottom-td custom-top-td acenter" width="27.78%"><p style="text-align:center">Specific capacitance (F/g)</p></td> 
      <td class="custom-bottom-td custom-top-td acenter" width="27.77%"><p style="text-align:center">Specific capacitance (F/g)</p></td> 
     </tr> 
     <tr> 
      <td class="custom-top-td acenter" width="18.81%"><p style="text-align:center">10</p></td> 
      <td class="custom-top-td acenter" width="25.64%"><p style="text-align:center">63.61</p></td> 
      <td class="custom-top-td acenter" width="27.78%"><p style="text-align:center">23.81</p></td> 
      <td class="custom-top-td acenter" width="27.77%"><p style="text-align:center">23.07</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="18.81%"><p style="text-align:center">20</p></td> 
      <td class="acenter" width="25.64%"><p style="text-align:center">60.27</p></td> 
      <td class="acenter" width="27.78%"><p style="text-align:center">21.83</p></td> 
      <td class="acenter" width="27.77%"><p style="text-align:center">21.69</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="18.81%"><p style="text-align:center">50</p></td> 
      <td class="acenter" width="25.64%"><p style="text-align:center">54.69</p></td> 
      <td class="acenter" width="27.78%"><p style="text-align:center">15.76</p></td> 
      <td class="acenter" width="27.77%"><p style="text-align:center">19.53</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="18.81%"><p style="text-align:center">75</p></td> 
      <td class="acenter" width="25.64%"><p style="text-align:center">51.65</p></td> 
      <td class="acenter" width="27.78%"><p style="text-align:center">13.16</p></td> 
      <td class="acenter" width="27.77%"><p style="text-align:center">18.42</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="18.81%"><p style="text-align:center">100</p></td> 
      <td class="acenter" width="25.64%"><p style="text-align:center">49.29</p></td> 
      <td class="acenter" width="27.78%"><p style="text-align:center">11.44</p></td> 
      <td class="acenter" width="27.77%"><p style="text-align:center">17.53</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="18.81%"><p style="text-align:center">125</p></td> 
      <td class="acenter" width="25.64%"><p style="text-align:center">47.45</p></td> 
      <td class="acenter" width="27.78%"><p style="text-align:center">10.18</p></td> 
      <td class="acenter" width="27.77%"><p style="text-align:center">16.83</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="18.81%"><p style="text-align:center">150</p></td> 
      <td class="acenter" width="25.64%"><p style="text-align:center">45.70</p></td> 
      <td class="acenter" width="27.78%"><p style="text-align:center">9.21</p></td> 
      <td class="acenter" width="27.77%"><p style="text-align:center">16.16</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="18.81%"><p style="text-align:center">200</p></td> 
      <td class="acenter" width="25.64%"><p style="text-align:center">42.58</p></td> 
      <td class="acenter" width="27.78%"><p style="text-align:center">7.70</p></td> 
      <td class="acenter" width="27.77%"><p style="text-align:center">15.03</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="18.81%"><p style="text-align:center">250</p></td> 
      <td class="acenter" width="25.64%"><p style="text-align:center">40.00</p></td> 
      <td class="acenter" width="27.78%"><p style="text-align:center">6.65</p></td> 
      <td class="acenter" width="27.77%"><p style="text-align:center">14.06</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="18.81%"><p style="text-align:center">300</p></td> 
      <td class="acenter" width="25.64%"><p style="text-align:center">37.76</p></td> 
      <td class="acenter" width="27.78%"><p style="text-align:center">5.86</p></td> 
      <td class="acenter" width="27.77%"><p style="text-align:center">13.23</p></td> 
     </tr> 
    </table>
   </table-wrap>
   <p>
    <xref ref-type="fig" rid="fig3">
     Figure 3
    </xref> represents the charge-discharge studies of ball milled, ball milled samples annealed at 350˚C, and 580˚C. All charge-discharge studies were performed in air atmosphere and at room temperature in the voltage range of 0 V - 1 V and at current densities of 0.5 A/g, 1 A/g, and 2 A/g. The specific capacitance was calculated from the formula,</p>
   <p>
    <math display="inline" xmlns="http://www.w3.org/1998/Math/MathML"> <mrow> 
      <msub> 
       <mi>
         C 
       </mi> 
       <mi>
         s 
       </mi> 
      </msub> 
      <mo>
        = 
      </mo> 
      <mrow> 
       <mrow> 
        <mrow> 
         <mo>
           ( 
         </mo> 
         <mrow> 
          <mi>
            I 
          </mi> 
          <mo>
            ∗ 
          </mo> 
          <mi>
            Δ 
          </mi> 
          <mi>
            t 
          </mi> 
         </mrow> 
         <mo>
           ) 
         </mo> 
        </mrow> 
       </mrow> 
       <mo>
         / 
       </mo> 
       <mrow> 
        <mrow> 
         <mo>
           ( 
         </mo> 
         <mrow> 
          <mi>
            m 
          </mi> 
          <mo>
            ∗ 
          </mo> 
          <mi>
            Δ 
          </mi> 
          <mi>
            V 
          </mi> 
         </mrow> 
         <mo>
           ) 
         </mo> 
        </mrow> 
       </mrow> 
      </mrow> 
     </mrow> 
    </math> (2)</p>
   <p>where, I is the current (A), t is the discharge time (s), m is the mass of the active material (gram), and ∆V is the voltage range (V). <xref ref-type="table" rid="table2">
     Table 2
    </xref> summarizes specific capacitance of various nsutite samples. It can be seen from <xref ref-type="fig" rid="fig3">
     Figure 3
    </xref> and <xref ref-type="table" rid="table2">
     Table 2
    </xref> that the maximum specific capacitance was obtained for pure ball milled samples. The specific capacitance of pure ball milled sample was obtained as 36 F/g, 34 F/g, and 34 F/g at a current density of 0.5 A/g, 1 A/g, and 2 A/g, respectively. Upon annealing the ball milled nsutite at 350˚C, and 580˚C the specific capacitance was 18 F/g, and 11.3 F/g at current density of 0.5 A/g. In our previous studies it was reported that raw nsutite samples showed a specific capacitance of 13.05 F/g at 0.5 A/g current density <xref ref-type="bibr" rid="scirp.144604-14">
     [14]
    </xref>. In this study the ball milled nsutite samples showed significant improvement of capacitance, compared to our previous published results (14.65 F/g at 1 A/g) of pure nsutite materials <xref ref-type="bibr" rid="scirp.144604-16">
     [16]
    </xref>. This may be due to the reduced particle size, which results in increased surface area of the nsutite samples after milling.</p>
   <fig id="fig3" position="float">
    <label>Figure 3</label>
    <caption>
     <title>Figure 3. Charge-discharge studies of (a) pure ball milled nsutite, (b) ball milled sample annealed at 350˚C, and (c) ball milled sample annealed at 580˚C.</title>
    </caption>
    <graphic mimetype="image" position="float" xlink:type="simple" xlink:href="https://html.scirp.org/file/2202380-rId25.jpeg?20250806103603" />
   </fig>
   <table-wrap id="table2">
    <label>
     <xref ref-type="table" rid="table2">
      Table 2
     </xref></label>
    <caption>
     <title>
      <xref ref-type="bibr" rid="scirp.144604-"></xref>Table 2. Specific capacitance of various nsutite materials obtained from charge-discharge studies.</title>
    </caption>
    <table class="MsoTableGrid custom-table" border="0" cellspacing="0" cellpadding="0"> 
     <tr> 
      <td class="custom-bottom-td custom-top-td acenter" width="33.81%"><p style="text-align:center">Material</p></td> 
      <td class="custom-bottom-td custom-top-td acenter" width="30.36%"><p style="text-align:center">Current Density (A/g)</p></td> 
      <td class="custom-bottom-td custom-top-td acenter" width="35.83%"><p style="text-align:center">Specific capacitance (F/g)</p></td> 
     </tr> 
     <tr> 
      <td rowspan="3" class="custom-top-td acenter" width="33.81%"><p style="text-align:center">Ball Milled pure</p></td> 
      <td class="custom-top-td acenter" width="30.36%"><p style="text-align:center">0.5</p></td> 
      <td class="custom-top-td acenter" width="35.83%"><p style="text-align:center">36</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="30.36%"><p style="text-align:center">1</p></td> 
      <td class="acenter" width="35.83%"><p style="text-align:center">34</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="30.36%"><p style="text-align:center">2</p></td> 
      <td class="acenter" width="35.83%"><p style="text-align:center">34</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="33.81%"><p style="text-align:center">Ball Milled 350˚C</p></td> 
      <td class="acenter" width="30.36%"><p style="text-align:center">0.5</p></td> 
      <td class="acenter" width="35.83%"><p style="text-align:center">18</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="33.81%"><p style="text-align:center"></p></td> 
      <td class="acenter" width="30.36%"><p style="text-align:center">1</p></td> 
      <td class="acenter" width="35.83%"><p style="text-align:center">16</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="33.81%"><p style="text-align:center"></p></td> 
      <td class="acenter" width="30.36%"><p style="text-align:center">2</p></td> 
      <td class="acenter" width="35.83%"><p style="text-align:center">14</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="33.81%"><p style="text-align:center">Ball Milled 580˚C</p></td> 
      <td class="acenter" width="30.36%"><p style="text-align:center">0.5</p></td> 
      <td class="acenter" width="35.83%"><p style="text-align:center">11.3</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="33.81%"><p style="text-align:center"></p></td> 
      <td class="acenter" width="30.36%"><p style="text-align:center">1</p></td> 
      <td class="acenter" width="35.83%"><p style="text-align:center">10.3</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="33.81%"><p style="text-align:center"></p></td> 
      <td class="acenter" width="30.36%"><p style="text-align:center">2</p></td> 
      <td class="acenter" width="35.83%"><p style="text-align:center">9.2</p></td> 
     </tr> 
    </table>
   </table-wrap>
  </sec><sec id="s4">
   <title>4. Conclusion</title>
   <p>It can be seen that ball milled nsutite materials can be used for supercapacitor applications. The specific capacitance of ball milled, ball milled samples annealed at 350˚C, and 580˚C was found to be as 34 F/g, 16 F/g, and 10.3 F/g at a current density of 1 A/g. On the other hand, cyclic voltammetric studies confirm the electrochemical behavior of nsutite materials and stabilities of the electrodes at a higher scan rate of 300 mV/s. More investigation is required to improve the electrochemical properties of nsutite materials to obtain inexpensive, environmentally friendly, and abundant supercapacitor materials.</p>
  </sec><sec id="s5">
   <title>Data Availability Statement</title>
   <p>Data sets generated during the current study are available from the corresponding author on reasonable request.</p>
  </sec><sec id="s6">
   <title>CRediT Authorship Contribution Statement</title>
   <p>Rahul Singhal: Conceptualization, Data curation, Formal analysis, Investigation, Methodology, Resources, Software, Supervision, Writing—original draft, Writing—review &amp; editing, Michael Gammon: Data curation, Formal Analysis, Investigation, Writing—original draft, Lekan J. Oyelola: Data curation, Formal Analysis, Investigation, Noah Lee: Data curation, Formal Analysis, Tess E. Masi: Data curation, Formal Analysis, Manika Chaudhary: Data curation, Formal Analysis, Writing-Original draft, Vikhyat Sahi: Formal Analysis, writing—review &amp; editing, Peter K. LeMaire: Conceptualization, Resources, Writing—review &amp; editing.</p>
  </sec><sec id="s7">
   <title>Funding</title>
   <p>CSCU AAUP Faculty Research Grant.</p>
  </sec><sec id="s8">
   <title>Acknowledgements</title>
   <p>The authors acknowledge 2023 CSCU AAUP Faculty Research Grant received in support of this project.</p>
  </sec>
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