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<ui>1556-276X-7-137</ui>
<ji>1556-276X</ji>
<fm>
<dochead>Nano Express</dochead>
<bibl>
<title><p>Strong, conductive carbon nanotube fibers as efficient hole collectors</p></title>
<aug>
<au id="A1"><snm>Jia</snm><fnm>Yi</fnm><insr iid="I1"/><email>jiay05@mails.tsinghua.edu.cn</email></au>
<au id="A2"><snm>Li</snm><fnm>Xiao</fnm><insr iid="I1"/><email>x-li04@mails.tsinghua.edu.cn</email></au>
<au id="A3"><snm>Li</snm><fnm>Peixu</fnm><insr iid="I1"/><email>lpx05@mails.tsinghua.edu.cn</email></au>
<au id="A4"><snm>Wang</snm><fnm>Kunlin</fnm><insr iid="I1"/><email>wangkl@tsinghua.edu.cn</email></au>
<au id="A5"><snm>Cao</snm><fnm>Anyuan</fnm><insr iid="I2"/><email>anyuan@pku.edu.cn</email></au>
<au id="A6"><snm>Wei</snm><fnm>Jinquan</fnm><insr iid="I1"/><email>jqwei@mail.tsinghua.edu.cn</email></au>
<au ca="yes" id="A7"><snm>Zhu</snm><fnm>Hongwei</fnm><insr iid="I1"/><insr iid="I3"/><email>hongweizhu@tsinghua.edu.cn</email></au>
<au ca="yes" id="A8"><snm>Wu</snm><fnm>Dehai</fnm><insr iid="I1"/><email>wdh-dme@tsinghua.edu.cn</email></au>
</aug>
<insg>
<ins id="I1"><p>Key Laboratory for Advanced Materials Processing Technology, Ministry of Education and Department of Mechanical Engineering, Tsinghua University, Beijing, 100084, People's Republic of China</p></ins>
<ins id="I2"><p>Department of Advanced Materials and Nanotechnology, College of Engineering, Peking University, Beijing, 100871, People's Republic of China</p></ins>
<ins id="I3"><p>Center for Nano and Micro Mechanics, Tsinghua University, Beijing, 100084, People's Republic of China</p></ins>
</insg>
<source>Nanoscale Research Letters</source>
<issn>1556-276X</issn>
<pubdate>2012</pubdate>
<volume>7</volume>
<issue>1</issue>
<fpage>137</fpage>
<url>http://www.nanoscalereslett.com/content/7/1/137</url>
<xrefbib><pubidlist><pubid idtype="pmpid">22340519</pubid><pubid idtype="doi">10.1186/1556-276X-7-137</pubid></pubidlist></xrefbib></bibl>
<history><rec><date><day>17</day><month>10</month><year>2011</year></date></rec><acc><date><day>17</day><month>2</month><year>2012</year></date></acc><pub><date><day>17</day><month>2</month><year>2012</year></date></pub></history><cpyrt><year>2012</year><collab>Jia et al; licensee Springer.</collab><note>This is an Open Access article distributed under the terms of the Creative Commons Attribution License (<url>http://creativecommons.org/licenses/by/2.0</url>), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.</note></cpyrt>
<kwdg><kwd>carbon nanotubes</kwd><kwd>fibers</kwd><kwd>heterojunction</kwd><kwd>solar cells</kwd></kwdg>
<abs>
<sec><st><p>Abstract</p></st>
<p>We present the photovoltaic properties of heterojunctions made from single-walled carbon nanotube (SWNT) fibers and n-type silicon wafers. The use of the opaque SWNT fiber allows photo-generated holes to transport along the axis direction of the fiber. The heterojunction solar cells show conversion efficiencies of up to 3.1% (actual) and 10.6% (nominal) at AM1.5 condition. In addition, the use of strong, environmentally benign carbon nanotube fibers provides excellent structural stability of the photovoltaic devices.</p>
</sec>
</abs>
</fm>
<bdy>
<sec><st><p>Introduction</p></st>
<p>As a symbolic nanomaterial, carbon nanotube (CNT) with unique properties like high strength, high electrical conductivity, and chemical inertness has found important applications in optoelectronics <abbrgrp><abbr bid="B1">1</abbr></abbrgrp>, being an ideal candidate for various components in photovoltaic devices <abbrgrp><abbr bid="B2">2</abbr></abbrgrp>. CNT bundles can be organized into two typical macrostructures: fibers (1D) and films (2D). The fabrication of homogeneous CNT films with a controllable thickness has been an important basis for the research on CNT-involved devices where CNTs mainly function as transparent electrodes <abbrgrp><abbr bid="B3">3</abbr></abbrgrp>. Our recent work on CNT/Si heterojunction solar cells <abbrgrp><abbr bid="B4">4</abbr><abbr bid="B5">5</abbr></abbrgrp> have stimulated a series of studies on the photovoltaic properties of various heterostructures, including CNT/Si <abbrgrp><abbr bid="B6">6</abbr><abbr bid="B7">7</abbr><abbr bid="B8">8</abbr><abbr bid="B9">9</abbr><abbr bid="B10">10</abbr><abbr bid="B11">11</abbr><abbr bid="B12">12</abbr><abbr bid="B13">13</abbr><abbr bid="B14">14</abbr><abbr bid="B15">15</abbr><abbr bid="B16">16</abbr></abbrgrp>, CNT/CdTe <abbrgrp><abbr bid="B17">17</abbr></abbrgrp>, and graphene/Si Schottky junctions <abbrgrp><abbr bid="B18">18</abbr><abbr bid="B19">19</abbr></abbrgrp>. Among these devices, the CNT film serves multiple functions as a hole collector, charge transport path, and transparent electrode. However, the CNT film composed of CNT networks has a lot of inter-bundle voids, which should be fairly controlled to achieve high transparency while maintaining sufficient lateral conductivity of the film. The junction resistances between tubes/bundles also yield a limiting value for the conductivities for CNT films <abbrgrp><abbr bid="B20">20</abbr></abbrgrp>.</p>
<p>The CNT fiber is yet another macroscopic assembly of CNT bundles in a densified manner. CNT fibers have attracted intensive experimental and theoretical interests and are of increasing practical importance because of their unique 1D structure inherited from individual CNTs <abbrgrp><abbr bid="B21">21</abbr></abbrgrp>. Early research efforts mainly focused on organizing discontinuous nanotubes into ribbon/fiber-like materials. We first reported that long single-walled CNT (SWNT) strands consisting of aligned SWNTs could be synthesized directly with a vertical floating chemical vapor deposition (CVD) method <abbrgrp><abbr bid="B22">22</abbr></abbrgrp>. Many approaches have been developed since then for the assembly of CNTs into continuous fibers through direct spinning <abbrgrp><abbr bid="B23">23</abbr><abbr bid="B24">24</abbr><abbr bid="B25">25</abbr><abbr bid="B26">26</abbr></abbrgrp> and post-synthesis spinning <abbrgrp><abbr bid="B27">27</abbr><abbr bid="B28">28</abbr><abbr bid="B29">29</abbr><abbr bid="B30">30</abbr></abbrgrp>. Compared to the CNT film, the 1D CNT fiber composed of densely aligned CNT bundles has higher conductance. When forming a heterojunction with silicon, though the fiber itself (generally microns thick) is essentially opaque, the photo-generated charge holes excited from the exposed underlying silicon wafer will transport to it.</p>
<p>The purposes of this work are to introduce the design of the heterojunction solar cells using SWNT fibers as upper electrodes and n-type silicon wafers (n-Si) as photoactive electrodes and to investigate experimentally the photovoltaic properties of the SWNT fiber/Si heterojunctions, verifying the role of SWNTs as hole collectors.</p>
</sec>
<sec><st><p>Experiment</p></st>
<p>The SWNT fibers used in this study were obtained by a simple film-to-fiber processing reported previously by our group <abbrgrp><abbr bid="B31">31</abbr></abbrgrp>. SWNT films were first prepared by a floating CVD technique with a liquid precursor: a solution of xylene, ferrocene (0.36 mol/L), and sulfur (0.036 mol/L) <abbrgrp><abbr bid="B32">32</abbr></abbrgrp>. Figure <figr fid="F1">1a</figr> shows the as-grown SWNT film hung over a ceramic tray. The film is stiff enough to bear a one-cent-coin weight. The freestanding film is highly transparent and continuous with a large area of approximately 50 cm<sup>2</sup>; the letters behind can be clearly seen through the film. Highly pure (&gt; 98%) SWNT thin films were then obtained by a two-step posttreatment: hydrogen peroxide oxidation by immersing the films in 30% H<sub>2</sub>O<sub>2 </sub>solution for 72 h and then rinsing with hydrochloric acid (37% HCl) to remove amorphous impurities and iron catalyst. Smooth and homogenous films could be obtained when ethanol was dropped on the purified samples. A Langmuir monolayer of SWNTs was formed during the spreading of the ethanol layer along the water surface. The film was then picked up slowly with a glass rod (Figure <figr fid="F1">1b</figr>) and allowed to be further densified into a fiber upon drying. As shown in Figure <figr fid="F1">1c</figr>, the fiber was then twisted under stretching using two motors for 5 to approximately 10 min with a rotating speed of 30 rpm to improve its bulk density and the alignment of the SWNT bundles.</p>
<fig id="F1"><title><p>Figure 1</p></title><caption><p>Film-to-fiber processing</p></caption><text>
   <p><b>Film-to-fiber processing</b>. (<b>a</b>) Freestanding SWNT thin film with a coin on it. (<b>b</b>) Fiber formation through a wetting/drying process. (<b>c</b>) Fiber twisting. (<b>d</b>) A single fiber bearing a 200-g weight.</p>
</text><graphic file="1556-276X-7-137-1"/></fig>
</sec>
<sec><st><p>Results and discussion</p></st>
<p>A scanning electron microscope (SEM) image (Figure <figr fid="F2">2a</figr>) of the SWNT film reveals uniformity of the film across the entire area. Upon twisting, the SWNT fiber became stronger and tougher thanks to the closer contact and improved load transfer between nanotubes due to the enhanced van der Waals forces and friction, which is consistent with previously reported results <abbrgrp><abbr bid="B27">27</abbr><abbr bid="B29">29</abbr><abbr bid="B30">30</abbr></abbrgrp>. Figure <figr fid="F1">1d</figr> illustrates the strength of a twisted SWNT fiber which sustains a 200-g weight. As further revealed by Figure <figr fid="F2">2b, d</figr>, the SWNT fiber upon twisting became much denser and possessed substantial alignment of the nanotubes along the twisting direction. The fiber diameter was reduced by approximately 35% from 17 to 11 &#956;m. The twist angle, defined as the angle between the longitudinal direction of the SWNT bundles and the axis of the fiber, is about 26&#176;, which is large enough to yield a strong fiber <abbrgrp><abbr bid="B29">29</abbr></abbrgrp>. The result shows that this simple process allowed one-step formation of continuous nanotube fibers.</p>
<fig id="F2"><title><p>Figure 2</p></title><caption><p>SEM images</p></caption><text>
   <p><b>SEM images</b>. (<b>a</b>) The single-walled CNT (SWNT) film and (<b>b, c, d</b>) a densified and twisted SWNT fiber.</p>
</text><graphic file="1556-276X-7-137-2"/></fig>
<p>Before solar cell assembly, the mechanical properties of the SWNT fibers are tested. Figure <figr fid="F3">3a</figr> shows typical stress-strain curves for three SWNT fibers before fracture. All the SWNT fibers fractured at the highest load. The tensile strength and Young's modulus of our SWNT fibers were measured in the range 0.8 to 1.0 GPa and 8 to 10 GPa, respectively. During loading to failure, the fibers, and hence the SWNT bundles, experienced two different strains, elastic strain and plastic strain, owing to slippage between aligned bundles and plastic deformation of individual nanotubes. Three different fracture morphologies were observed: (1) brittle fracture due to strong inter-bundle coupling (Figure <figr fid="F3">3b</figr>), (2) fan-shaped fracture surface due to fiber unwinding (Figure <figr fid="F3">3c</figr>), and (3) sliding of bundles due to weak inter-bundle coupling and small twist angle (approximately 11&#176;) (Figure <figr fid="F3">3d</figr>).</p>
<fig id="F3"><title><p>Figure 3</p></title><caption><p>Mechanical properties of the single-walled CNT (SWNT) fibers</p></caption><text>
   <p><b>Mechanical properties of the single-walled CNT (SWNT) fibers</b>. (<b>a</b>) Tensile stress-strain curves of three SWNT fibers. (<b>b</b>, <b>c</b>, <b>d</b>) SEM images of fractured SWNT fibers.</p>
</text><graphic file="1556-276X-7-137-3"/></fig>
<p>The high tensile strengths of the SWNT fibers are consistent with their electrical conducting performance. Owing to the higher density, the conducting properties of the twisted fibers are superior to the original fibers. Figure <figr fid="F4">4a</figr> shows the current density versus voltage curves of a typical SWNT fiber (approximately 1 cm long) before and after twisting. The current density is defined as the current per unit cross-sectional area of the SWNT fiber. The conductivity was enhanced featured with the resistivity reduced by approximately 40% from 9.7 &#215; 10<sup>-4 </sup>to 5.5 &#215; 10<sup>-4 </sup>&#937;&#8729;cm<sup>-1</sup>. Raman spectra at an excitation of 633 nm show high G-band intensity (<it>I</it><sub>G</sub>) and very low D-band intensity (<it>I</it><sub>D</sub>) of as-produced CNT network (black) and CNT fiber (red) in Figure <figr fid="F4">4b</figr>. The ratios of <it>I</it><sub>G</sub>/<it>I</it><sub>D </sub>are about 30, indicating high crystallization of CNT and negligible amorphous carbon. The two peak positions remain unchanged (D-band at 1,322 cm<sup>-1 </sup>and G-band at 1,589 cm<sup>-1</sup>), revealing an absence of optical absorption change during the fiber twisting process.</p>
<fig id="F4"><title><p>Figure 4</p></title><caption><p>Conducting properties of the single-walled CNT (SWNT) fibers</p></caption><text>
   <p><b>Conducting properties of the single-walled CNT (SWNT) fibers</b>. (<b>a</b>)Current density-voltage curves of a SWNT fiber before and after twisting. (<b>b</b>) Raman spectra of as-produced CNT network and CNT fiber.</p>
</text><graphic file="1556-276X-7-137-4"/></fig>
<p>Because the SWNT fibers were of macroscopic lengths and provided 1D electrical conducting channels, photovoltaic tests have been performed on the heterojunction solar cells made from the fibers and n-Si. The SWNT fiber/n-Si heterojunction was fabricated as illustrated in Figure <figr fid="F5">5a</figr>. An n-type Si (100) wafer (doping density, 2 &#215; 10<sup>15 </sup>cm<sup>-3</sup>) with a 300-nm SiO<sub>2 </sub>layer was patterned by photolithography and wet-etching to make a square window of 9 mm<sup>2</sup>. A back electrode of a Ti/Pd/Ag layer was used to ensure high-quality Ohm contact with the silicon. A SWNT fiber was then transferred to the top of the patterned silicon wafer and naturally dried. To introduce a strong adhesion between the fiber and the wafer, a piece of transparent tape was coated on the fiber. Forward bias was defined as positive voltage applied to the SWNT fiber. The current-voltage data were recorded using a Keithley 2601 SourceMeter (Keithley Instruments, Inc., Cleveland, OH, USA). The solar devices were tested with a Newport solar simulator (Newport, Beijing, China) under AM1.5 condition.</p>
<fig id="F5"><title><p>Figure 5</p></title><caption><p>The single-walled CNT (SWNT) fiber/n-Si solar cell</p></caption><text>
   <p><b>The single-walled CNT (SWNT) fiber/n-Si solar cell</b>. (<b>a</b>) Device schematics of the SWNT fiber/n-Si solar cell. (<b>b</b>) SEM image of the SWNT fiber/n-Si junction. (<b>c</b>) Dark and light (AM1.5) <it>J</it>-<it>V </it>curves of the SWNT fiber/n-Si solar cell. (<b>d</b>) ln<it>I</it>-<it>V </it>plot and (inset) d<it>V</it>/d(ln<it>I</it>)-<it>I </it>plot.</p>
</text><graphic file="1556-276X-7-137-5"/></fig>
<p>As illustrated in the bottom panel of Figure <figr fid="F5">5a</figr>, the fiber acted as a hole collector to extract the photo-excited holes generated within the rectangle region (marked with a dashed line) defined by the minority diffusion length (<it>L</it><sub>p</sub>) (approximately 20 &#956;m for n-Si at 2 &#215; 10<sup>15 </sup>cm<sup>-3 </sup>doping level) of the silicon and the fiber length. Figure <figr fid="F5">5b</figr> shows a SEM image of the SWNT fiber/n-Si junction.</p>
<p>Figure <figr fid="F5">5c</figr> shows the measured current density-voltage (<it>J</it>-<it>V</it>) characteristics for a typical SWNT fiber/Si cell. Based on the <it>J</it>-<it>V </it>characteristics, the energy conversion efficiency (<it>&#951;</it>) of the solar cell was estimated. The efficiency is defined by</p>
<p><display-formula><m:math xmlns:m="http://www.w3.org/1998/Math/MathML" name="1556-276X-7-137-i1"><m:mrow>
   <m:mi>&#951;</m:mi>
   <m:mo class="MathClass-rel">=</m:mo>
   <m:msub>
      <m:mrow>
         <m:mi>j</m:mi>
      </m:mrow>
      <m:mrow>
         <m:mi>sc</m:mi>
      </m:mrow>
   </m:msub>
   <m:mo class="MathClass-bin">&#8901;</m:mo>
   <m:msub>
      <m:mrow>
         <m:mi>V</m:mi>
      </m:mrow>
      <m:mrow>
         <m:mi>oc</m:mi>
      </m:mrow>
   </m:msub>
   <m:mo class="MathClass-bin">&#8901;</m:mo>
   <m:mstyle class="text">
      <m:mtext class="textsf" mathvariant="sans-serif">FF</m:mtext>
   </m:mstyle>
   <m:mo class="MathClass-bin">/</m:mo>
   <m:msub>
      <m:mrow>
         <m:mi>P</m:mi>
      </m:mrow>
      <m:mrow>
         <m:mstyle class="text">
            <m:mtext class="textsf" mathvariant="sans-serif">in</m:mtext>
         </m:mstyle>
      </m:mrow>
   </m:msub>
</m:mrow>
</m:math>
</display-formula></p>
<p>where <it>J</it><sub>sc </sub>is the short-circuit current density (<it>J</it><sub>sc </sub>= <it>I<sub>sc </sub></it>/<it>S</it>). Here, the nominal current density is defined as the current per unit projectional area (<it>S</it><sub>n </sub>= length &#215; diameter) of the SWNT fiber; the actual current density is defined as the current per unit area when the minority diffusion in silicon is considered (<it>S</it><sub>a </sub>= <it>S</it><sub>n </sub>+ 2<it>L</it><sub>p </sub>&#215; length). Correspondingly, the actual efficiency (<it>&#951;</it><sub>a</sub>) and nominal efficiency (<it>&#951;</it><sub>n</sub>) will be obtained. <it>V</it><sub>oc </sub>is the open-circuit voltage, <it>P</it><sub>in </sub>is the incident power density (100 mW/cm<sup>2</sup>), and FF is the fill factor, which is defined by the relation</p>
<p><display-formula><m:math xmlns:m="http://www.w3.org/1998/Math/MathML" name="1556-276X-7-137-i2"><m:mrow>
   <m:mstyle class="text">
      <m:mtext class="textsf" mathvariant="sans-serif">FF</m:mtext>
   </m:mstyle>
   <m:mo class="MathClass-rel">=</m:mo>
   <m:msub>
      <m:mrow>
         <m:mi>J</m:mi>
      </m:mrow>
      <m:mrow>
         <m:mi mathvariant="text">m</m:mi>
      </m:mrow>
   </m:msub>
   <m:mo class="MathClass-bin">&#8901;</m:mo>
   <m:msub>
      <m:mrow>
         <m:mi>V</m:mi>
      </m:mrow>
      <m:mrow>
         <m:mi mathvariant="text">m</m:mi>
      </m:mrow>
   </m:msub>
   <m:mo class="MathClass-bin">/</m:mo>
   <m:msub>
      <m:mrow>
         <m:mi>J</m:mi>
      </m:mrow>
      <m:mrow>
         <m:mi>sc</m:mi>
      </m:mrow>
   </m:msub>
   <m:mo class="MathClass-bin">&#8901;</m:mo>
   <m:msub>
      <m:mrow>
         <m:mi>V</m:mi>
      </m:mrow>
      <m:mrow>
         <m:mstyle class="text">
            <m:mtext class="textsf" mathvariant="sans-serif">oc</m:mtext>
         </m:mstyle>
      </m:mrow>
   </m:msub>
</m:mrow>
</m:math>
</display-formula></p>
<p>where (<it>J</it><sub>m</sub><it>V</it><sub>m</sub>) is the maximum power point of the <it>J</it>-<it>V </it>characteristic of the solar cell.</p>
<p>Along with the other two tested cells, the photovoltaic performance of the three cells is summarized in Table <tblr tid="T1">1</tblr>. Initial tests have shown <it>&#951;</it><sub>a </sub>of 2% to approximately 3% and <it>&#951;</it><sub>n </sub>of 6% to approximately 10% at AM1.5, proving that SWNT fiber-on-Si is a potentially suitable configuration for making solar cells. Comparing sample #1 and sample #2 with different diameters in Table <tblr tid="T1">1</tblr> the smaller diameter results in a smaller projectional area (<it>S</it><sub>n</sub>) and entire effective area (<it>S</it><sub>a</sub>), leading to a higher cell efficiency.</p>
<tbl id="T1"><title><p>Table 1</p></title><caption><p>Photovoltaic performance of the three SWNT fiber/n-Si solar cells.</p></caption><tblbdy cols="9">
      <r>
         <c ca="center">
            <p>
               <b>Samples</b>
            </p>
         </c>
         <c ca="center">
            <p>
               <b>Diameter</b>
            </p>
         </c>
         <c ca="center">
            <p>
               <b>
                  <it>S</it>
                  <sub>a</sub>
               </b>
            </p>
         </c>
         <c ca="center">
            <p>
               <b>
                  <it>S</it>
                  <sub>n</sub>
               </b>
            </p>
         </c>
         <c ca="center">
            <p>
               <b>
                  <it>I</it>
                  <sub>sc</sub>
               </b>
            </p>
         </c>
         <c ca="center">
            <p>
               <b>
                  <it>V</it>
                  <sub>oc</sub>
               </b>
            </p>
         </c>
         <c ca="center">
            <p>
               <b>FF</b>
            </p>
         </c>
         <c ca="center">
            <p>
               <b>
                  <it>&#951;</it>
                  <sub>a</sub>
               </b>
            </p>
         </c>
         <c ca="center">
            <p>
               <b>
                  <it>&#951;</it>
                  <sub>n</sub>
               </b>
            </p>
         </c>
      </r>
      <r>
         <c>
            <p/>
         </c>
         <c ca="center">
            <p>
               <b>(&#956;m)</b>
            </p>
         </c>
         <c ca="center">
            <p>
               <b>(10<sup>-4 </sup>cm<sup>2</sup>)</b>
            </p>
         </c>
         <c ca="center">
            <p>
               <b>(10<sup>-4 </sup>cm<sup>2</sup>)</b>
            </p>
         </c>
         <c ca="center">
            <p>
               <b>(&#956;A)</b>
            </p>
         </c>
         <c ca="center">
            <p>
               <b>(V)</b>
            </p>
         </c>
         <c ca="center">
            <p>
               <b>(%)</b>
            </p>
         </c>
         <c ca="center">
            <p>
               <b>(%)</b>
            </p>
         </c>
         <c ca="center">
            <p>
               <b>(%)</b>
            </p>
         </c>
      </r>
      <r>
         <c cspan="9">
            <hr/>
         </c>
      </r>
      <r>
         <c ca="center">
            <p>#1</p>
         </c>
         <c ca="center">
            <p>17.1</p>
         </c>
         <c ca="center">
            <p>17.1</p>
         </c>
         <c ca="center">
            <p>5.13</p>
         </c>
         <c ca="center">
            <p>24.9</p>
         </c>
         <c ca="center">
            <p>0.445</p>
         </c>
         <c ca="center">
            <p>49.1</p>
         </c>
         <c ca="center">
            <p>3.17</p>
         </c>
         <c ca="center">
            <p>10.6</p>
         </c>
      </r>
      <r>
         <c ca="center">
            <p>#2</p>
         </c>
         <c ca="center">
            <p>29.8</p>
         </c>
         <c ca="center">
            <p>21.1</p>
         </c>
         <c ca="center">
            <p>8.95</p>
         </c>
         <c ca="center">
            <p>33.8</p>
         </c>
         <c ca="center">
            <p>0.475</p>
         </c>
         <c ca="center">
            <p>40.1</p>
         </c>
         <c ca="center">
            <p>3.07</p>
         </c>
         <c ca="center">
            <p>7.19</p>
         </c>
      </r>
      <r>
         <c ca="center">
            <p>#3</p>
         </c>
         <c ca="center">
            <p>18.6</p>
         </c>
         <c ca="center">
            <p>17.6</p>
         </c>
         <c ca="center">
            <p>5.57</p>
         </c>
         <c ca="center">
            <p>22.1</p>
         </c>
         <c ca="center">
            <p>0.414</p>
         </c>
         <c ca="center">
            <p>41.4</p>
         </c>
         <c ca="center">
            <p>2.16</p>
         </c>
         <c ca="center">
            <p>6.80</p>
         </c>
      </r>
   </tblbdy><tblfn>
      <p><it>S</it><sub>a</sub>, actual current density; <it>S</it><sub>n</sub>, nominal current density; <it>I</it><sub>sc</sub>, short-circuit current; FF, fill factor; <it>&#951;</it><sub>a</sub>, actual efficiency; <it>&#951;</it><sub>n</sub>, nominal efficiency; <it>V</it><sub>oc</sub>, open-circuit voltage.</p>
   </tblfn></tbl>
<p>As shown in Figure <figr fid="F5">5c</figr>, the <it>V</it><sub>oc </sub>and FF of the SWNT fiber/Si device are 0.445 V and 49.1%, respectively, which are comparable to the values for CNT film/Si cells <abbrgrp><abbr bid="B32">32</abbr></abbrgrp>. The overall <it>&#951;</it><sub>n </sub>of the fiber device (approximately 10.6%) is about 43% higher than that of the film device (approximately 7.4%). This disparity arose mainly from the different definition of the junction area for these two devices. In this fiber device, the <it>&#951;</it><sub>a </sub>is 3.17% when the entire effective area is used instead of only the fiber projection area. It is worth mentioning that the size of the inter-bundle voids within a CNT film is &lt; 5 &#956;m <abbrgrp><abbr bid="B32">32</abbr></abbrgrp>, which is substantially smaller than the <it>L</it><sub>p </sub>(20 &#956;m). This implies that the SWNT bundles with an inter-spacing of 2 <it>L</it><sub>p </sub>will give the optimal charge collection. The cell efficiencies are expected to be further improved by acid doping <abbrgrp><abbr bid="B16">16</abbr></abbrgrp>.</p>
<p>Consistent with the characteristics of the 1D/2D junction, we note that the device only shows a moderate rectification ratio which is approximately 1,680 at &#177; 0.8 V, and a typical reverse current at -1.0 V is 250 nA. As shown in Figure <figr fid="F5">5d</figr>, at low forward voltages, the current follows an exponential dependence with ideality factor (<it>n</it>) equal to 1.38. At higher voltages, the current follows an exponential dependence with an ideality factor of 2.9. This variation corresponds to a transition between two regimes <abbrgrp><abbr bid="B33">33</abbr></abbrgrp>: (1) the current is dominated by diffusion and generation-recombination outside the space charge region (<it>n </it>= 1), and (2) the high-injection regime, where the density of the minority carrier is comparable with that of the majority (<it>n </it>= 2). A d<it>V</it>/d(ln<it>I</it>)-<it>I </it>plot (Figure <figr fid="F5">5d</figr>, inset) is used to analyze the current-voltage characteristics when the series resistance (<it>R</it><sub>s</sub>) begins to dominate, yielding a <it>R</it><sub>s </sub>of approximately 62 &#937;.</p>
<p>The 1D nature of the SWNT fiber offers a tremendous opportunity for exciton dissociation. SWNTs in the devices are involved in multiple processes including hole collecting and transporting. Despite its opaque feature and the relatively small interfacial area for charge separation, the SWNT fiber provides many 1D paths, forming a conducting channel for charge transport.</p>
<p>The devices present a great potential for use as photovoltaic solar cells and light sensors. In addition to enhancing photovoltaic conversion efficiency, the incorporation of the robust SWNT fibers can potentially improve the mechanical and environmental stability of the devices.</p>
</sec>
<sec><st><p>Conclusions</p></st>
<p>To conclude, we have demonstrated the photovoltaic properties of the SWNT fiber/Si heterojunction and revealed that SWNTs can be used as efficient hole collectors. The SWNT fiber/n-Si solar cell studied here represents an addition to the CNT film/n-Si counterparts reported by us previously. The photovoltaic devices also show excellent structural stability due to the use of strong, environmentally benign CNT fibers.</p>
</sec>
<sec><st><p>Competing interests</p></st>
<p>The authors declare that they have no competing interests.</p>
</sec>
<sec><st><p>Authors' contributions</p></st>
<p>YJ carried out the solar cell assembly and test, and drafted the manuscript. XL participated in the solar cell assembly. PL prepared the carbon nanotube films. AC, DW, and HZ conceived of the study and participated in its design and coordination. JW and KW participated in the data analysis. All authors read and approved the final manuscript.</p>
</sec>
</bdy>
<bm>
<ack>
<sec><st><p>Acknowledgements</p></st>
<p>This work was supported by the National Science Foundation of China (50972067) and the Research Fund for Doctoral Program of Education Ministry of China (20090002120019 and 20090002120030).</p>
</sec>
</ack>
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