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  <front>
    <journal-meta>
      <journal-id journal-id-type="publisher-id">jamp</journal-id>
      <journal-title-group>
        <journal-title>Journal of Applied Mathematics and Physics</journal-title>
      </journal-title-group>
      <issn pub-type="epub">2327-4379</issn>
      <issn pub-type="ppub">2327-4352</issn>
      <publisher>
        <publisher-name>Scientific Research Publishing</publisher-name>
      </publisher>
    </journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.4236/jamp.2026.141021</article-id>
      <article-id pub-id-type="publisher-id">jamp-149197</article-id>
      <article-categories>
        <subj-group>
          <subject>Article</subject>
        </subj-group>
        <subj-group>
          <subject>Physics</subject>
          <subject>Mathematics</subject>
        </subj-group>
      </article-categories>
      <title-group>
        <article-title>Modeling and Performance Analysis of PM6:Y6 Based Inverted Bulk Heterojunction Organic Solar Cells through SCAPS-1D Simulation</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <name name-style="western">
            <surname>Shakeeb</surname>
            <given-names>Tania</given-names>
          </name>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author" corresp="yes">
          <name name-style="western">
            <surname>Khan</surname>
            <given-names>Jamil</given-names>
          </name>
          <xref ref-type="aff" rid="aff1">1</xref>
          <xref ref-type="aff" rid="aff2">2</xref>
        </contrib>
        <contrib contrib-type="author">
          <name name-style="western">
            <surname>Sarmad</surname>
            <given-names>Aziz</given-names>
          </name>
          <xref ref-type="aff" rid="aff2">2</xref>
        </contrib>
        <contrib contrib-type="author">
          <name name-style="western">
            <surname>Khan</surname>
            <given-names>Salman</given-names>
          </name>
          <xref ref-type="aff" rid="aff2">2</xref>
        </contrib>
        <contrib contrib-type="author">
          <name name-style="western">
            <surname>Ahmad</surname>
            <given-names>Aftab</given-names>
          </name>
          <xref ref-type="aff" rid="aff3">3</xref>
        </contrib>
        <contrib contrib-type="author" corresp="yes">
          <string-name>Niamatullah</string-name>
          <xref ref-type="aff" rid="aff2">2</xref>
          <xref ref-type="aff" rid="aff4">4</xref>
        </contrib>
        <contrib contrib-type="author">
          <name name-style="western">
            <surname>Khan</surname>
            <given-names>Alamgir</given-names>
          </name>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Khalilullah</string-name>
          <xref ref-type="aff" rid="aff5">5</xref>
        </contrib>
        <contrib contrib-type="author">
          <name name-style="western">
            <surname>Talha</surname>
            <given-names>Muhammad</given-names>
          </name>
          <xref ref-type="aff" rid="aff6">6</xref>
        </contrib>
        <contrib contrib-type="author">
          <name name-style="western">
            <surname>Khan</surname>
            <given-names>Shamrez</given-names>
          </name>
          <xref ref-type="aff" rid="aff4">4</xref>
        </contrib>
      </contrib-group>
      <aff id="aff1"><label>1</label> Department of Physics, Abdul Wali Khan University Mardan, Mardan, Pakistan </aff>
      <aff id="aff2"><label>2</label> College of Nuclear Science and Technology, Harbin Engineering University, Harbin, China </aff>
      <aff id="aff3"><label>3</label> Materials Laboratory, Department of Physics, COMSATS University Islamabad, Park Road, Islamabad, Pakistan </aff>
      <aff id="aff4"><label>4</label> Department of Physics, Baluchistan University of Information Technology, Engineering and Management Sciences Quetta, Quetta, Pakistan </aff>
      <aff id="aff5"><label>5</label> School of Materials Science and Engineering, Beijing Institute of Technology, Beijing, China </aff>
      <aff id="aff6"><label>6</label> Department of Physics, Malakand University, Chakdara, Pakistan </aff>
      <author-notes>
        <fn fn-type="conflict" id="fn-conflict">
          <p>The authors declare no conflicts of interest regarding the publication of this paper.</p>
        </fn>
      </author-notes>
      <pub-date pub-type="epub">
        <day>01</day>
        <month>01</month>
        <year>2026</year>
      </pub-date>
      <pub-date pub-type="collection">
        <month>01</month>
        <year>2026</year>
      </pub-date>
      <volume>14</volume>
      <issue>01</issue>
      <fpage>384</fpage>
      <lpage>399</lpage>
      <history>
        <date date-type="received">
          <day>14</day>
          <month>12</month>
          <year>2025</year>
        </date>
        <date date-type="accepted">
          <day>25</day>
          <month>01</month>
          <year>2026</year>
        </date>
        <date date-type="published">
          <day>28</day>
          <month>01</month>
          <year>2026</year>
        </date>
      </history>
      <permissions>
        <copyright-statement>© 2026 by the authors and Scientific Research Publishing Inc.</copyright-statement>
        <copyright-year>2026</copyright-year>
        <license license-type="open-access">
          <license-p> This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license ( <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">https://creativecommons.org/licenses/by/4.0/</ext-link> ). </license-p>
        </license>
      </permissions>
      <self-uri content-type="doi" xlink:href="https://doi.org/10.4236/jamp.2026.141021">https://doi.org/10.4236/jamp.2026.141021</self-uri>
      <abstract>
        <p>This study investigates the influence of active layer thickness and temperature on the performance of PM6:Y6 based organic solar cells (OSC<sub>S</sub>). The simulation of these parameters provides valuable insights into optimizing the efficiency and understanding the behaviors of OSC<sub>s</sub> under different operating conditions. In the investigation of active layer, thickness simulation was conducted using SCAPS-1D for OSCs based on PM6:Y6 and the J-V characterizations of the OSC<sub>s</sub>at varies active layer thickness were analyzed. The results reveal that as the active layer thickness increases from 250 nm to 450 nm there were a notable rise in the short current circuit density (<italic>J</italic><italic><sub>sc</sub></italic>) from 27.12 to 31.04 mA/cm<sup>2</sup>. This enhancement in <italic>J</italic><italic><sub>sc</sub></italic> was attributed to an increase in light absorption leading to generation of more excitons within the active layer. Consequently, more charge carriers were produced resulting in increased <italic>J</italic><italic><sub>sc</sub></italic>. It was observed that while a slight increase in <italic>V</italic><italic><sub>oc</sub></italic> was regarded as the active layer thickness increases from 0.954 to 0.966 V, a significant decrease in fill factor (FF) from 72.92 to 65.8% was observed beyond a critical active layer thickness of 400 nm dropping from 67.62 to 65.8%. This reduction in FF beyond the threshold of 400 nm suggested and increase in recombination rate of charge carrier. The decrease in FF indicated that a thicker active layer might result in a higher likelihood of charge carrier recombination, which led to the observed reduction in FF and, consequently, the overall performance of the OSC. Furthermore, it was observed that the <italic>J</italic><italic><sub>sc</sub></italic> of the OSCs increased with working temperature, reaching a saturation point. However, at high temperatures, <italic>J</italic><italic><sub>sc</sub></italic> started to decrease. This behavior can be explained by considering the relationship between the current delivered by the cell, the number of free charge carriers generated, and their mobility. As the working temperature increased, the <italic>V</italic><italic><sub>oc</sub></italic> decreased from 0.96 to 0.95V. In contrast, the FF and PCE decreased from 67.6 to 65.43% and 20.25 to 19.47% respectively. Further from the Nyquist plot, it was found that the electrode resistance increases with temperature while semiconductor materials resistance decreases with working temperature, which shows the semiconducting behavior.</p>
      </abstract>
      <kwd-group kwd-group-type="author-generated" xml:lang="en">
        <kwd>Active Layer Thickness</kwd>
        <kwd>Organic Solar Cells (OSCs)</kwd>
        <kwd>PM6:Y6</kwd>
        <kwd>Charge Carrier Recombination</kwd>
        <kwd>Temperature Dependence</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec1">
      <title>1. Introduction</title>
      <p>Organic solar cells (OSCs) have become among the increasingly candidate for next generation photovoltaic technologies due to their distinctive advantages such as mechanical flexibility, lightweight nature, low fabrication cost and large surface area [<xref ref-type="bibr" rid="B1">1</xref>][<xref ref-type="bibr" rid="B2">2</xref>]. Unlike conventional inorganic counterpart OSCs depend on organic semiconductor typically conjugated polymers and small molecules that enable solution process ability and tunable optoelectronic properties through molecular engineering [<xref ref-type="bibr" rid="B3">3</xref>][<xref ref-type="bibr" rid="B4">4</xref>]. Despite these advantages OSCs still face challenges in achieving stability and efficiency levels comparable to silicon-based technology requiring continuous effort to optimize device structures and material combinations [<xref ref-type="bibr" rid="B5">5</xref>][<xref ref-type="bibr" rid="B6">6</xref>]. Among varies donor acceptor system the polymer on fullerene acceptor (NFA) blend of poly donor known as PM6, paired with Y6, a high performance non fullerene acceptor has demonstrated remarkable power conversion efficiencies (PCEs) exceeding 18 % in experimental reports. The PM6:Y6 system exhibits strong near infrared absorption optimal energy level alignment and enhanced charge carrier mobility making it a benchmark material pair for high efficiency OSCs [<xref ref-type="bibr" rid="B7">7</xref>]. However, a comprehensive grasp of ways in which different physical parameter like operating temperature interface quality and active layer thickness affect device attributes is necessary for additional performance optimization [<xref ref-type="bibr" rid="B8">8</xref>]. Device simulations are now essential resources for researching and improving OSCs performance prior to experimental manufacturing. An efficient way to examine how material and device characteristics affect electrical and optical behavior is using simulation platforms like solar cells capacitance simulator (SCAPS-1D). Because of its strong foundation for resolving Poisson’s and continuity equations SCAPS-1D which was first created for inorganic thin film solar cells has recently been modified for simulating organic and perovskite-based devices and SCAPS-1D performs numerical simulations by self-consistently solving the fundamental semiconductor device equations [<xref ref-type="bibr" rid="B5">5</xref>][<xref ref-type="bibr" rid="B9">9</xref>]-[<xref ref-type="bibr" rid="B11">11</xref>]. Under varies structural and environmental circumstances this method enables mythological investigation of charge formation recombination kinetics and transport mechanism [<xref ref-type="bibr" rid="B12">12</xref>]. Compared to traditional arrangement inverted bulk Heterojunction (BHJ) topologies have drawn more interest because of their greater stability and suitability for flexible substrates [<xref ref-type="bibr" rid="B13">13</xref>]-[<xref ref-type="bibr" rid="B15">15</xref>]. The electro transport layer (ETL) and hole transport layer (HTL) are switched in inverted configuration which usually uses materials like MoO<sub>3</sub> or PEDOT: PSS for the HTL and ZnO for ELT [<xref ref-type="bibr" rid="B16">16</xref>]-[<xref ref-type="bibr" rid="B19">19</xref>]. This arrangement not only improves device lifetime by reducing sensitivity to oxygen and moisture but also enhances charge extraction efficiency and reduces interfacial recombination [<xref ref-type="bibr" rid="B15">15</xref>][<xref ref-type="bibr" rid="B18">18</xref>]. Although extensive experimental research systematic studies focusing on the simulation-based optimization of PYM6:Y6 inverted BHJ OSCs remain limited [<xref ref-type="bibr" rid="B20">20</xref>]. Specially there is a need to investigate how active layer thickness and working temperature influence photovoltaic parameters [<xref ref-type="bibr" rid="B21">21</xref>]. Understanding these dependencies is crucial for predicting device performance under practical operating conditions and guiding the fabrication of high efficiency OSCs [<xref ref-type="bibr" rid="B22">22</xref>]. In this study, SCAPS-1D is employed to simulate and optimize the performance of PM6:Y6 based inverted heterojunction (OSCs). The effect of active layer and working temperature are systematically examined to explain their impact on charge carrier generation, transport, recombination and energy conversion efficiency [<xref ref-type="bibr" rid="B23">23</xref>]. Furthermore, impedance spectroscopy simulations are conducted to interpret charge transport resistance and confirm the semiconductor behavior of the device. The insights gained from this work contribute to design of more efficient and stable PM6:Y6 OSCs and provide a theoretical foundation for future experimental developments. </p>
    </sec>
    <sec id="sec2">
      <title>2. Main Parameters in Solar Cells</title>
      <p>The open-circuit voltage (<italic>V</italic><italic><sub>oc</sub></italic>) is the maximum output voltage of a solar cell when the current flowing out of it is zero. The difference between photogenerated and diode recombination currents is what determines the open-circuit voltage, and can be written as [<xref ref-type="bibr" rid="B24">24</xref>]:</p>
      <disp-formula id="FD1">
        <label>(1)</label>
        <mml:math>
          <mml:mrow>
            <mml:msub>
              <mml:mi>V</mml:mi>
              <mml:mrow>
                <mml:mi>o</mml:mi>
                <mml:mi>c</mml:mi>
              </mml:mrow>
            </mml:msub>
            <mml:mo>=</mml:mo>
            <mml:mfrac>
              <mml:mrow>
                <mml:mi>n</mml:mi>
                <mml:mi>k</mml:mi>
                <mml:mi>T</mml:mi>
              </mml:mrow>
              <mml:mi>q</mml:mi>
            </mml:mfrac>
            <mml:mrow>
              <mml:mo>(</mml:mo>
              <mml:mrow>
                <mml:mfrac>
                  <mml:mrow>
                    <mml:msub>
                      <mml:mi>I</mml:mi>
                      <mml:mi>L</mml:mi>
                    </mml:msub>
                  </mml:mrow>
                  <mml:mrow>
                    <mml:msub>
                      <mml:mi>I</mml:mi>
                      <mml:mn>0</mml:mn>
                    </mml:msub>
                  </mml:mrow>
                </mml:mfrac>
                <mml:mo>+</mml:mo>
                <mml:mn>1</mml:mn>
              </mml:mrow>
              <mml:mo>)</mml:mo>
            </mml:mrow>
          </mml:mrow>
        </mml:math>
      </disp-formula>
      <p>where <inline-formula><mml:math><mml:mi> n </mml:mi></mml:math></inline-formula> is the diode ideality factor, <inline-formula><mml:math><mml:mi> k </mml:mi></mml:math></inline-formula> is the Boltzmann constant, <inline-formula><mml:math><mml:mi> T </mml:mi></mml:math></inline-formula> is the absolute temperature, <inline-formula><mml:math><mml:mi> q </mml:mi></mml:math></inline-formula> is the elementary charge, <inline-formula><mml:math><mml:mrow><mml:msub><mml:mi> I </mml:mi><mml:mi> L </mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the light-generated current, and <inline-formula><mml:math><mml:mrow><mml:msub><mml:mi> I </mml:mi><mml:mn> 0 </mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is the reverse saturation current. </p>
      <disp-formula id="FD2">
        <label>(2)</label>
        <mml:math>
          <mml:mrow>
            <mml:msub>
              <mml:mi>I</mml:mi>
              <mml:mrow>
                <mml:mi>s</mml:mi>
                <mml:mi>c</mml:mi>
              </mml:mrow>
            </mml:msub>
            <mml:mo>=</mml:mo>
            <mml:mi>I</mml:mi>
            <mml:mo>−</mml:mo>
            <mml:msub>
              <mml:mi>I</mml:mi>
              <mml:mn>0</mml:mn>
            </mml:msub>
            <mml:mrow>
              <mml:mo>(</mml:mo>
              <mml:mrow>
                <mml:msup>
                  <mml:mtext>e</mml:mtext>
                  <mml:mrow>
                    <mml:mfrac>
                      <mml:mrow>
                        <mml:mi>q</mml:mi>
                        <mml:mi>v</mml:mi>
                      </mml:mrow>
                      <mml:mrow>
                        <mml:mi>k</mml:mi>
                        <mml:mi>T</mml:mi>
                      </mml:mrow>
                    </mml:mfrac>
                  </mml:mrow>
                </mml:msup>
                <mml:mo>−</mml:mo>
                <mml:mn>1</mml:mn>
              </mml:mrow>
              <mml:mo>)</mml:mo>
            </mml:mrow>
          </mml:mrow>
        </mml:math>
      </disp-formula>
      <p>Under short-circuit conditions (<inline-formula><mml:math><mml:mrow><mml:mi> V </mml:mi><mml:mo> = </mml:mo><mml:mn> 0 </mml:mn></mml:mrow></mml:math></inline-formula> ), Eq. (2) reduces to <inline-formula><mml:math><mml:mrow><mml:msub><mml:mi> I </mml:mi><mml:mrow><mml:mi> s </mml:mi><mml:mi> c </mml:mi></mml:mrow></mml:msub><mml:mo> ≈ </mml:mo><mml:msub><mml:mi> I </mml:mi><mml:mi> L </mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> , indicating that the short-circuit current is primarily governed by the photogenerated current. </p>
      <p>The solar power at the maximum power point is the product of current and voltage (<italic>V</italic>) at the maximum power point that determines the maximum power output (<italic>P</italic><italic><sub>m</sub></italic>) of a solar cell. The association between open-circuit voltage (<italic>V</italic><italic><sub>oc</sub></italic>), short-circuit current (<italic>I</italic><italic><sub>s</sub></italic><italic><sub>c</sub></italic>), and full power output is measured in us of the fill factor (FF). The fill factor is proportional to better output power, and highly dependent on internal series resistance and recombination losses. The fill factor is computed with the help of the equation. (3) [<xref ref-type="bibr" rid="B24">24</xref>][<xref ref-type="bibr" rid="B25">25</xref>]:</p>
      <disp-formula id="FD3">
        <label>(3)</label>
        <mml:math>
          <mml:mrow>
            <mml:mtext>FF</mml:mtext>
            <mml:mo>=</mml:mo>
            <mml:mfrac>
              <mml:mrow>
                <mml:msub>
                  <mml:mi>P</mml:mi>
                  <mml:mi>m</mml:mi>
                </mml:msub>
              </mml:mrow>
              <mml:mrow>
                <mml:msub>
                  <mml:mi>V</mml:mi>
                  <mml:mrow>
                    <mml:mi>o</mml:mi>
                    <mml:mi>c</mml:mi>
                  </mml:mrow>
                </mml:msub>
                <mml:mo>×</mml:mo>
                <mml:msub>
                  <mml:mi>I</mml:mi>
                  <mml:mrow>
                    <mml:mi>s</mml:mi>
                    <mml:mi>c</mml:mi>
                  </mml:mrow>
                </mml:msub>
              </mml:mrow>
            </mml:mfrac>
          </mml:mrow>
        </mml:math>
      </disp-formula>
      <p>The power conversion efficiency (<inline-formula><mml:math display="inline"><mml:mi> η </mml:mi></mml:math></inline-formula> ) is a critical performance parameter that represents the ratio of the maximum electrical output power to the incident optical power. It is calculated using Eq. (4) [<xref ref-type="bibr" rid="B26">26</xref>][<xref ref-type="bibr" rid="B27">27</xref>]:</p>
      <disp-formula id="FD4">
        <label>(4)</label>
        <mml:math>
          <mml:mrow>
            <mml:mi>η</mml:mi>
            <mml:mo>=</mml:mo>
            <mml:mfrac>
              <mml:mrow>
                <mml:msub>
                  <mml:mi>V</mml:mi>
                  <mml:mrow>
                    <mml:mi>o</mml:mi>
                    <mml:mi>c</mml:mi>
                  </mml:mrow>
                </mml:msub>
                <mml:mo>×</mml:mo>
                <mml:msub>
                  <mml:mi>I</mml:mi>
                  <mml:mrow>
                    <mml:mi>s</mml:mi>
                    <mml:mi>c</mml:mi>
                  </mml:mrow>
                </mml:msub>
                <mml:mo>×</mml:mo>
                <mml:mtext>FF</mml:mtext>
              </mml:mrow>
              <mml:mrow>
                <mml:msub>
                  <mml:mi>P</mml:mi>
                  <mml:mrow>
                    <mml:mi>i</mml:mi>
                    <mml:mi>n</mml:mi>
                  </mml:mrow>
                </mml:msub>
              </mml:mrow>
            </mml:mfrac>
          </mml:mrow>
        </mml:math>
      </disp-formula>
      <p>where <inline-formula><mml:math display="inline"><mml:mi> η </mml:mi></mml:math></inline-formula> represent the power conversion efficiency and <italic>P</italic><italic><sub>in</sub></italic> is the incident light intensity, <italic>I</italic><italic><sub>sc</sub></italic>, FF, <italic>V</italic><italic><sub>oc</sub></italic> and <italic>P</italic><italic><sub>in</sub></italic> determine the importance of power conversion effectiveness.</p>
      <sec id="sec2dot1">
        <title>Device Architecture</title>
        <p>The functionality of organic solar cells is dependent upon electron transport layer (ETL), which plays a pivotal role in the system. Typically, the construction of electron transport layer (ETL), involves the application of a slender coating of a material that exhibits high electro transport properties such as metal oxides like TiO<sub>2</sub>, ZnO, and SnO<sub>2</sub>. The thickness of electron transport layer (ETL) is influenced by the type of material employed, the device design, and the deposition method. Insufficient electron transport and insufficient charge collection can be observed in the cases where electron transport layer (ETL) is excessively very thin [<xref ref-type="bibr" rid="B28">28</xref>][<xref ref-type="bibr" rid="B29">29</xref>]. Conversely, in the event that the thickness of electron transport layer (ETL), exceeds a certain threshold it has the potential to evaluate the resistance of electron transport thereby diminishing the overall efficiency of the device. Furthermore, the thickness of electron transport layer (ETL), may exert an influence on the charge transfer and replication mechanism transpiring at the junction of the active layer and the electrode. The performance of OSCs, is significantly impacted by the presence of hole transport layer (HTL), which operates in manner analogous to electron transport layer (ETL). The hole transport layer (HTL), facilitates the movement of positively charge carriers (hole) between the electrode and the active layer thereby influencing the interface charge transfer and recombination mechanism [<xref ref-type="bibr" rid="B29">29</xref>]-[<xref ref-type="bibr" rid="B31">31</xref>]. An active anode refers to a polymer or a small molecule that serve the dual purpose of acting as both a substance donor and an acceptor. For the absorber layer PM6:Y6 was used as a hole transport material (HTM) and TiO<sub>2</sub> Nano rods as an electron transport material (ETM) shown in <xref ref-type="fig" rid="fig1">Figure 1</xref>. The ETL, of TiO<sub>2</sub> nanorods and the hole transport layer (HTL), of PEDOT: PSS, are separated by active layer. Inorganic and perovskite optoelectronics systems PEDOT: PSS is favored as hole transport layer (HTL), because in contract to other choices it may offers a plat surface on the ITO electrode [<xref ref-type="bibr" rid="B32">32</xref>][<xref ref-type="bibr" rid="B33">33</xref>]. TiO<sub>2</sub>is used as electron transport layer (ETL), because of its affordability, chemical stability and easy use in thin films productions. The proposed configuration works TiO<sub>2</sub> as the transport medium which has accelerated the development of durable tin iodide-based perovskite solar cells. This material is frequently utilized in commercial solar cells [<xref ref-type="bibr" rid="B34">34</xref>][<xref ref-type="bibr" rid="B35">35</xref>]. This design offers advantages in terms of its stability, compatibility and the diffusion length of charge carriers. The present study employs SCAPS:1D, simulation to investigate the influence of diverse electrical parameters on the efficiency of TiO<sub>2</sub>/PM6:Y6/PEDOT: PSS (<bold>Table 1</bold>).</p>
        <fig id="fig1">
          <label>Figure 1</label>
          <graphic xlink:href="https://html.scirp.org/file/1724513-rId41.jpeg?20260128021011" />
        </fig>
        <p><bold>Figure 1.</bold>Device structure.</p>
        <p><bold>Table 1</bold><bold>.</bold>Summarize parameters for PEDOT: PSS/ PM6:Y6/TiO<sub>2</sub>/ITO.</p>
        <table-wrap id="tbl1">
          <label>Table 1</label>
          <table>
            <tbody>
              <tr>
                <td>
                  <bold>Parameters</bold>
                </td>
                <td>
                  <bold>PEDOT: PSS</bold>
                </td>
                <td>
                  <bold>PM6:Y6</bold>
                </td>
                <td>
                  <bold>TiO</bold>
                  <bold>
                    <sub>2</sub>
                  </bold>
                </td>
                <td>
                  <bold>ITO</bold>
                </td>
              </tr>
              <tr>
                <td>Thickness (nm)</td>
                <td>40.0</td>
                <td>400</td>
                <td>50</td>
                <td>200</td>
              </tr>
              <tr>
                <td>Energy band gap (eV)</td>
                <td>2.20</td>
                <td>1.30</td>
                <td>3.200</td>
                <td>3.500</td>
              </tr>
              <tr>
                <td>Electron affinity (eV)</td>
                <td>2.90</td>
                <td>3.45</td>
                <td>3.900</td>
                <td>4.0</td>
              </tr>
              <tr>
                <td>Dielectric permittivity</td>
                <td>3.0</td>
                <td>3.50</td>
                <td>9.000</td>
                <td>9.0</td>
              </tr>
              <tr>
                <td>
                  CB effective density of states (cm
                  <sup>−</sup>
                  <sup>3</sup>
                  )
                </td>
                <td>
                  2.2 × 10
                  <sup>18</sup>
                </td>
                <td>
                  2.2 × 10
                  <sup>18</sup>
                </td>
                <td>
                  2.2 × 10
                  <sup>18</sup>
                </td>
                <td>
                  2.2 × 10
                  <sup>18</sup>
                </td>
              </tr>
              <tr>
                <td>
                  VB effective density of states (cm
                  <sup>−</sup>
                  <sup>3</sup>
                  )
                </td>
                <td>
                  1.8 × 10
                  <sup>19</sup>
                </td>
                <td>
                  1.8 × 10
                  <sup>19</sup>
                </td>
                <td>
                  1.8 × 10
                  <sup>19</sup>
                </td>
                <td>
                  1.8 × 10
                  <sup>19</sup>
                </td>
              </tr>
              <tr>
                <td>
                  Electron mobility (cm
                  <sup>2</sup>
                  /Vs)
                </td>
                <td>
                  1.1 × 10
                  <sup>1</sup>
                </td>
                <td>
                  5.5 × 10
                  <sup>−</sup>
                  <sup>4</sup>
                </td>
                <td>
                  1.1 × 10
                  <sup>2</sup>
                </td>
                <td>20</td>
              </tr>
              <tr>
                <td>
                  Hole mobility (cm
                  <sup>2</sup>
                  /Vs)
                </td>
                <td>
                  1.1 × 10
                  <sup>1</sup>
                </td>
                <td>
                  5.5 × 10
                  <sup>−</sup>
                  <sup>4</sup>
                </td>
                <td>
                  2.5 × 10
                  <sup>1</sup>
                </td>
                <td>10</td>
              </tr>
              <tr>
                <td>
                  Shadow acceptor density (cm
                  <sup>−</sup>
                  <sup>3</sup>
                  )
                </td>
                <td>
                  3.17 × 10
                  <sup>16</sup>
                </td>
                <td>
                  1.0 × 10
                  <sup>17</sup>
                </td>
                <td>0</td>
                <td>0.0</td>
              </tr>
              <tr>
                <td>
                  Shadow donor density (cm
                  <sup>−</sup>
                  <sup>3</sup>
                  )
                </td>
                <td>0</td>
                <td>
                  1.0 × 10
                  <sup>17</sup>
                </td>
                <td>
                  9.0 × 10
                  <sup>16</sup>
                </td>
                <td>
                  1.0 × 10
                  <sup>18</sup>
                </td>
              </tr>
              <tr>
                <td>
                  Shadow donor density (cm
                  <sup>−</sup>
                  <sup>3</sup>
                  )
                </td>
                <td>0</td>
                <td>1.0 × 1017</td>
                <td>9.0 × 1016</td>
                <td>1.0 × 1018</td>
              </tr>
            </tbody>
          </table>
        </table-wrap>
      </sec>
    </sec>
    <sec id="sec3">
      <title>3. Results and Discussion</title>
      <sec id="sec3dot1">
        <title>3.1. The Effect of Active Layer Thickness</title>
        <p>To investigate the influence of active layer thickness of organic solar cell (OSCs) performance simulation were conducted using SCAPS-1D for OSCs based on PM6:Y6. The J-V, characteristics of the PM6:Y6 based OSCs at different active layer thickness are presented in <xref ref-type="fig" rid="fig2">Figure 2</xref>. Furthermore, <xref ref-type="fig" rid="fig3">Figures 3(a)-(d)</xref> illustrate the impact of active layer thickness on various parameters of OSCs. When the active layer thickness is increase from 250 to 450 nm, the <italic>J</italic><italic><sub>sc</sub></italic> show a notable rise from 27.12 to 31.05 mAcm<sup>−</sup><sup>2</sup>. This enhancement is attribute to a rise in light absorption, leading to generation of more excitons within the active layer [<xref ref-type="bibr" rid="B36">36</xref>][<xref ref-type="bibr" rid="B37">37</xref>]. Consequently, a more numbers of charge carriers are produced resulting an observed increase in <italic>J</italic><italic><sub>sc</sub></italic> display in <xref ref-type="fig" rid="fig3">Figure 3(a)</xref>. Regarding the <italic>V</italic><italic><sub>oc</sub></italic> a slight increase is observed from 0.95 to 0.96 V, as the active layer thickness increases is show in <xref ref-type="fig" rid="fig3">Figure 3(b)</xref>. This change in <italic>V</italic><italic><sub>oc</sub></italic> is influenced by material’s band gap and energy band gap alignment. The slight improvement in <italic>V</italic><italic><sub>oc</sub></italic> can be attributed to the specific characteristics of the PM6:Y6 based OSCs regarding their band structure alignment. However, a slight decrease in Fill factor is display in <xref ref-type="fig" rid="fig3">Figure 3(c)</xref>, when the active layer thickness exceeds 400 nm, the FF dropping from 67.62 to 65.8 %. The reduction in FF beyond the threshold of 400 nm, suggests a rise in recombination rate of charge carriers. Physically, the decrease in FF with increased active layer thickness is largely related to the increased bulk recombination processes. In the SCAPS-1D simulation system, recombination is most often modelled by Shockley-Read-Hall (SRH) trap-assisted processes, which grow more and more important as the thickness of the active layer is scaled up. The increased active layer causes the carrier transport pathways to be longer and the slowing down of the carrier residence time and, therefore, the possibility of trap-mediated recombination is high. In addition, the internal electric field also becomes weaker in the middle between thicker active layers, which decreases the effectiveness of charge extraction and causes a spatial improvement in recombination outside the electrodes. This field-dependent recombination behavior has an undesirable impact on carrier collection and hence the fill factor improves with better light absorption. The effect of both high recombination rates of SRH and lower values of the internal electric field strength can therefore explain the degradation of FF and PCE at too thick active layers. This indicates that a thickness active layer may result in a higher probability of charge carrier recombination leading to fall in FF, and therefore the overall performance of OSCs [<xref ref-type="bibr" rid="B38">38</xref>][<xref ref-type="bibr" rid="B39">39</xref>]. Interestingly the power conversion efficiency (PCE) of OSCs also experience a decline after reaching an active layer, thickness of 400 nm, is shown in <xref ref-type="fig" rid="fig3">Figure 3(d)</xref>. As mentioned above, this decrease in PCE, is aspect to increase in charge carrier recombination rates. This responds the positive effects of the enhanced <italic>J</italic><italic><sub>sc</sub></italic> and the slight improvement in <italic>V</italic><italic><sub>oc</sub></italic>. Therefore, beyond the critical active layer thickness of 400 nm, the overall efficiency of the PM6:Y6 based OSCs reduces (<bold>Table 2</bold>).</p>
        <fig id="fig2">
          <label>Figure 2</label>
          <graphic xlink:href="https://html.scirp.org/file/1724513-rId42.jpeg?20260128021012" />
        </fig>
        <p><bold>Figure 2</bold><bold>.</bold>The influence of active layer thickness on the characteristics J-V.</p>
        <p><bold>Table 2</bold><bold>.</bold>The active (absorber) layer has been taken as PM6:Y6 blend and the electron transport layer (ETL) has been taken as TiO<sub>2</sub> nanorods.</p>
        <table-wrap id="tbl2">
          <label>Table 2</label>
          <table>
            <tbody>
              <tr>
                <td>
                  <bold>PM6:Y6 thickness</bold>
                </td>
                <td>
                  <italic>
                    <bold>J</bold>
                  </italic>
                  <italic>
                    <bold>
                      <sub>sc</sub>
                    </bold>
                  </italic>
                  <bold>(mAcm</bold>
                  <bold>
                    <sup>−</sup>
                  </bold>
                  <bold>
                    <sup>2</sup>
                  </bold>
                  <bold>)</bold>
                </td>
                <td>
                  <italic>
                    <bold>V</bold>
                  </italic>
                  <italic>
                    <bold>
                      <sub>oc</sub>
                    </bold>
                  </italic>
                  <bold>(v)</bold>
                </td>
                <td>
                  <bold>FF (%)</bold>
                </td>
                <td>
                  <bold>PCE (%)</bold>
                </td>
              </tr>
              <tr>
                <td>250 nm</td>
                <td>27.12237</td>
                <td>0.95422</td>
                <td>72.92</td>
                <td>18.87</td>
              </tr>
              <tr>
                <td>300 nm</td>
                <td>28.84831</td>
                <td>0.95879</td>
                <td>71.34</td>
                <td>19.72</td>
              </tr>
              <tr>
                <td>350 nm</td>
                <td>30.13234</td>
                <td>0.9622</td>
                <td>69.55</td>
                <td>20.16</td>
              </tr>
              <tr>
                <td>400 nm</td>
                <td>31.0497</td>
                <td>0.9648</td>
                <td>67.62</td>
                <td>20.25</td>
              </tr>
              <tr>
                <td>450 nm</td>
                <td>31.5731</td>
                <td>0.96683</td>
                <td>65.80</td>
                <td>20.08</td>
              </tr>
            </tbody>
          </table>
        </table-wrap>
        <fig id="fig3">
          <label>Figure 3</label>
          <graphic xlink:href="https://html.scirp.org/file/1724513-rId43.jpeg?20260128021012" />
        </fig>
        <fig id="fig4">
          <label>Figure 4</label>
          <graphic xlink:href="https://html.scirp.org/file/1724513-rId44.jpeg?20260128021012" />
        </fig>
        <p><bold>Figure 3</bold><bold>.</bold>Influence of AL thickness on J-V characteristics, (a) <italic>J</italic><italic><sub>sc</sub></italic>, (b) <italic>V</italic><italic><sub>oc</sub></italic> (c) FF and (d) PCE.</p>
      </sec>
      <sec id="sec3dot2">
        <title>3.2. Effect of Working Temperature on the Solar Cell Parameters</title>
        <p>The study of the working temperature influence on OSCs performance is essential for understanding their thermal stability, given their usual exposure to temperature that span form room temperature to 330K, particularly in condition like desert summer where temperature can subsequently exceed the average. In <xref ref-type="fig" rid="fig4">Figure 4</xref>, we illustrate the effect of working temperature on J-V characteristics of OSCs. It was observed that <italic>J</italic><italic><sub>sc</sub></italic> increases with working temperature and reaches a saturation point at a maximum value. However, at high temperatures <italic>J</italic><italic><sub>sc</sub></italic> start to decrease. This behavior can be explained by considering the connection between current deliver by cell, numbers of free charge carrier generated and their mobility [<xref ref-type="bibr" rid="B40">40</xref>][<xref ref-type="bibr" rid="B41">41</xref>]. In case of organic semiconductor, the transfer of charge carriers occurs through localize sites. The movement of charge carriers from one place to another in vicinity involved interaction with photons. The materials conductivity is thermally activated</p>
        <fig id="fig5">
          <label>Figure 5</label>
          <graphic xlink:href="https://html.scirp.org/file/1724513-rId45.jpeg?20260128021013" />
        </fig>
        <p><bold>Figure 4</bold><bold>.</bold>Influence the effect of working temperature on J-V characteristics.</p>
        <p>increasing with temperature. This temperature dependent conductivity influences the generation and mobility of charge carrier resulting in the observed trend of <italic>J</italic><italic><sub>sc</sub></italic> with WT [<xref ref-type="bibr" rid="B42">42</xref>][<xref ref-type="bibr" rid="B43">43</xref>]. Furthermore, as charge carrier concentration increases the <italic>V</italic><italic><sub>oc</sub></italic> will decrease due to reduction in the band gap. Optimal performance denoted by an efficiency of 20.25 % was obtained at RT. As working temperature increases from room temperature to 400K, the concentration and mobility of both electrons and holes were affected leading to fall in PCE, from 20.25 to 19.47 % is shown in <xref ref-type="fig" rid="fig5">Figure 5(d)</xref>. The reduction in FF (67.6 to 65%) <xref ref-type="fig" rid="fig5">Figure 5(c)</xref>, and the overall PCE, is primarily attributed to the acceleration of internal carrier recombination process within the OSCs, initiated by increases in carrier concentration (<bold>Table 3</bold>).</p>
        <fig id="fig6">
          <label>Figure 6</label>
          <graphic xlink:href="https://html.scirp.org/file/1724513-rId46.jpeg?20260128021013" />
        </fig>
        <p><bold>Figure 5</bold><bold>.</bold>Influence of temperature on OSCs parameters (a) <italic>V</italic><italic><sub>oc</sub></italic>, (b) <italic>J</italic><italic><sub>sc</sub></italic>, (c) FF and (d) PCE.</p>
        <p><bold>Table 3</bold><bold>.</bold>Output parameters of stimulated various temperature.</p>
        <table-wrap id="tbl3">
          <label>Table 3</label>
          <table>
            <tbody>
              <tr>
                <td>
                  <bold>Temp (K)</bold>
                </td>
                <td>
                  <italic>
                    <bold>V</bold>
                  </italic>
                  <italic>
                    <bold>
                      <sub>oc</sub>
                    </bold>
                  </italic>
                  <bold>(V)</bold>
                </td>
                <td>
                  <italic>
                    <bold>J</bold>
                  </italic>
                  <italic>
                    <bold>
                      <sub>sc</sub>
                    </bold>
                  </italic>
                  <bold>(mAcm</bold>
                  <bold>
                    <sup>−</sup>
                  </bold>
                  <bold>
                    <sup>2</sup>
                  </bold>
                  <bold>)</bold>
                </td>
                <td>
                  <bold>FF (%)</bold>
                </td>
                <td>
                  <bold>PCE (%)</bold>
                </td>
              </tr>
              <tr>
                <td>300</td>
                <td>0.964</td>
                <td>31.049</td>
                <td>67.61</td>
                <td>20.25</td>
              </tr>
              <tr>
                <td>320</td>
                <td>0.964</td>
                <td>31.051</td>
                <td>67.54</td>
                <td>20.23</td>
              </tr>
              <tr>
                <td>340</td>
                <td>0.963</td>
                <td>31.049</td>
                <td>67.12</td>
                <td>20.09</td>
              </tr>
              <tr>
                <td>360</td>
                <td>0.962</td>
                <td>31.048</td>
                <td>66.58</td>
                <td>19.90</td>
              </tr>
              <tr>
                <td>380</td>
                <td>0.961</td>
                <td>31.043</td>
                <td>65.00</td>
                <td>19.96</td>
              </tr>
              <tr>
                <td>400</td>
                <td>0.958</td>
                <td>31.037</td>
                <td>65.43</td>
                <td>19.47</td>
              </tr>
            </tbody>
          </table>
        </table-wrap>
      </sec>
      <sec id="sec3dot3">
        <title>3.3. Impact of Working Temperature on Series and Shunt Resistance: Insights from Impedance Spectroscopy</title>
        <p>Impedance spectroscopy has been widely employed to explore the electrical characteristics of materials or devices. Electrochemical impedance spectroscopy (EIS) is a standard and popular method of the study of charge transport, recombination, and interfacial processes in semiconductor devices, such as organic solar cells [<xref ref-type="bibr" rid="B44">44</xref>]. In these devices, the frequency-dependent resistive and capacitive responses are caused by transport of charge carriers by semiconducting layers and charge concentration at interfaces [<xref ref-type="bibr" rid="B45">45</xref>]. The presence of distinct semicircles in Nyquist plots is widely attributed to different physical processes, with the high frequency semicircle linked to charge transport or series resistance, and the low frequency semicircle linked to recombination and interfacial dynamics of charge [<xref ref-type="bibr" rid="B46">46</xref>]. It follows that series resistance, charge transport or recombination resistance and capacitive (or constant phase) element models of equivalent circuit have been widely used to model the behavior of semiconductor junctions in organic photovoltaic devices. The circuit model used herein is thus in line with the accepted interpretations of impedance spectra in organic solar cells and has previous literature backing it [<xref ref-type="bibr" rid="B47">47</xref>]. This method helps study the impact of series resistance (<italic>R</italic><italic><sub>s</sub></italic>) and shunt resistance (<italic>R</italic><italic><sub>sh</sub></italic>) arising from interfaces and electrodes in a solar cell. Moreover, some of the capacitance in solar cells is undesirable, and this technique can be used to identify it. The process involves applying a low-level alternating current signal to the solar cell, with the signal frequency dependent on the area of investigation [<xref ref-type="bibr" rid="B48">48</xref>]-[<xref ref-type="bibr" rid="B50">50</xref>]. The impedance spectra of the OSCs are subsequently recorded at different working temperatures. (<bold>Table 4</bold>) Analyzing the impedance spectra within a specific frequency range provides essential information regarding the electrical properties of the OSCs. <xref ref-type="fig" rid="fig6">Figure 6</xref> shows a Nyquist plot's general representation, allowing us to determine <italic>R</italic><italic><sub>s</sub></italic> and <italic>R</italic><italic><sub>sh</sub></italic>.</p>
        <p>The Nyquist plot of an ideal parallel R-C circuit shows a semicircle shape where each point corresponds to a specific frequency. At low frequencies, characterized by high values, it is possible to determine the combined resistance of the <italic>R</italic><italic><sub>s</sub></italic> within the intermediate frequency range, half of the <italic>R</italic><italic><sub>s</sub></italic> and <italic>R</italic><italic><sub>sh</sub></italic> components [<xref ref-type="bibr" rid="B51">51</xref>][<xref ref-type="bibr" rid="B52">52</xref>]. Alternatively, can be determined by measuring the distance from the onset to the minimum point of the semicircle on the axis or by evaluating the absolute value of the reactance at the minimum of the semicircle. Additionally, the capacitive elements, such as the barrier capacitance (Cb), can be accessed at the angular frequency (ω) when it reaches its most negative value. <xref ref-type="fig" rid="fig7">Figure 7</xref> shows the Nyquist plot of PM6:Y6-based OSCs at different working temperature. Two semicircles were observed. The small semicircle at the low value shows the contribution from the electrodes, while the large semicircles show the contribution from the semiconductor materials. <xref ref-type="fig" rid="fig8">Figure 8(a)</xref> and <xref ref-type="fig" rid="fig8">Figure 8(b)</xref> clearly show that the conductivity due to small semicircles decreases with the working temperature. In contrast, the conductivity of large semicircles increases with the working temperature, which indicates the metallic and semiconductor behavior, respectively [<xref ref-type="bibr" rid="B53">53</xref>][<xref ref-type="bibr" rid="B54">54</xref>].</p>
        <p><bold>Table 4</bold><bold>.</bold>Temperature dependents output values.</p>
        <table-wrap id="tbl4">
          <label>Table 4</label>
          <table>
            <tbody>
              <tr>
                <td>
                  <bold>Temp (K)</bold>
                </td>
                <td>
                  <bold>R1</bold>
                </td>
                <td>
                  <bold>R2</bold>
                </td>
                <td>
                  <bold>CPE1-T</bold>
                </td>
                <td>
                  <bold>CPE2-T</bold>
                </td>
                <td>
                  <bold>CPE1-P</bold>
                </td>
                <td>
                  <bold>CPE2-P</bold>
                </td>
              </tr>
              <tr>
                <td>
                  <bold>300</bold>
                </td>
                <td>1841</td>
                <td>28.73</td>
                <td>3.3449E−7</td>
                <td>2.9651E−6</td>
                <td>1.005</td>
                <td>0.65535</td>
              </tr>
              <tr>
                <td>
                  <bold>320</bold>
                </td>
                <td>1968</td>
                <td>27.57</td>
                <td>3.1416E−7</td>
                <td>2.9294E−6</td>
                <td>1.005</td>
                <td>0.65835</td>
              </tr>
              <tr>
                <td>
                  <bold>340</bold>
                </td>
                <td>2015</td>
                <td>26.72</td>
                <td>2.9943E−7</td>
                <td>2.9918E−6</td>
                <td>1.005</td>
                <td>0.65775</td>
              </tr>
              <tr>
                <td>
                  <bold>360</bold>
                </td>
                <td>2023</td>
                <td>25.94</td>
                <td>2.8808E−7</td>
                <td>3.131E−6</td>
                <td>1.006</td>
                <td>0.65521</td>
              </tr>
              <tr>
                <td>
                  <bold>380</bold>
                </td>
                <td>2007</td>
                <td>25.27</td>
                <td>2.7798E−7</td>
                <td>3.3666E−6</td>
                <td>1.006</td>
                <td>0.65085</td>
              </tr>
              <tr>
                <td>
                  <bold>400</bold>
                </td>
                <td>1975</td>
                <td>24.66</td>
                <td>2.6955E−7</td>
                <td>3.6968E−6</td>
                <td>1.006</td>
                <td>0.64526</td>
              </tr>
            </tbody>
          </table>
        </table-wrap>
        <fig id="fig7">
          <label>Figure 7</label>
          <graphic xlink:href="https://html.scirp.org/file/1724513-rId47.jpeg?20260128021014" />
        </fig>
        <p><bold>Figure 6</bold><bold>.</bold>The general representation of a Nyquist plot.</p>
        <fig id="fig8">
          <label>Figure 8</label>
          <graphic xlink:href="https://html.scirp.org/file/1724513-rId48.jpeg?20260128021014" />
        </fig>
        <p><bold>Figure 7</bold><bold>.</bold>Nyquist graph of Impedance spectroscopy.</p>
        <fig id="fig9">
          <label>Figure 9</label>
          <graphic xlink:href="https://html.scirp.org/file/1724513-rId49.jpeg?20260128021014" />
        </fig>
        <p><bold>Figure 8</bold><bold>.</bold>(a) The calculated conductivity and (b) Capacitance.</p>
      </sec>
    </sec>
    <sec id="sec4">
      <title>4. Conclusion</title>
      <p>The study into the influence of active layer thickness and working temperature on the work of PM6:Y6-based organic solar cells is useful information that can help to optimize the performance of the device and learn how it will act in various operating conditions. When the active layer thickness is increased in 250 nm to 450 nm, the short-circuit current density (<italic>J</italic><italic><sub>sc</sub></italic>) is significantly improved because of the light absorption and exciton generation rate in the active layer. There is also a slight improvement in open-circuit voltage (<italic>V</italic><italic><sub>oc</sub></italic>) which can be attributed to the both preferred band structure and the alignment of the energy levels of the PM6:Y6 system. But at a critical active layer thickness of above 400 nm a critical drop of fill factor (FF) of 67.62 per cent to 65.8 per cent and power conversion efficiency (PCE) of 20.25 per cent to 20.08 per cent is recorded. This degradation is linked to a higher likelihood of charge carrier recombination that cancels the advantage of a high <italic>J</italic><italic><sub>sc</sub></italic> and a small increase in <italic>V</italic><italic><sub>oc</sub></italic>. In addition, the working temperature effects observation shows that <italic>J</italic><italic><sub>sc</sub></italic> proportional risen with temperature at first because of thermally activated conductivity and improved charge carrier generation and mobilities that plateaus at a specific temperature. Onward of its temperature, <italic>J</italic><italic><sub>sc</sub></italic> starts to fall since high temperatures adversely impact charge transportation and carrier lifetime. The <italic>V</italic><italic><sub>oc</sub></italic> steadily goes down as the temperature rises, mainly the narrowing of bandgaps and the rising carrier density. Unlike <italic>J</italic><italic><sub>sc</sub></italic>, FF and PCE are functions that decline with rising working temperature as the simulated results verify. This decrease is largely due to improved internal carrier recombination and heavier resistive losses in high temperatures which negatively impacts the charge extraction efficiency. Generally speaking, these results indicate that it is necessary to optimize the active layer thickness and operating temperature with care in order to obtain high-performance organic solar cells based on PM6:Y6. The findings are useful in designing and thermal engineering of inverted bulk heterojunction OSCs and in the development of efficient organic photovoltaic technologies.</p>
    </sec>
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