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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Chem.</journal-id>
<journal-title>Frontiers in Chemistry</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Chem.</abbrev-journal-title>
<issn pub-type="epub">2296-2646</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="publisher-id">1230187</article-id>
<article-id pub-id-type="doi">10.3389/fchem.2023.1230187</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Chemistry</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Effect of grain boundary resistance on the ionic conductivity of amorphous <italic>x</italic>Li<sub>2</sub>S-(100-<italic>x</italic>)LiI binary system</article-title>
<alt-title alt-title-type="left-running-head">Di et al.</alt-title>
<alt-title alt-title-type="right-running-head">
<ext-link ext-link-type="uri" xlink:href="https://doi.org/10.3389/fchem.2023.1230187">10.3389/fchem.2023.1230187</ext-link>
</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname>Di</surname>
<given-names>Longbang</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="fn" rid="fn1">
<sup>&#x2020;</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2344764/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Pan</surname>
<given-names>Jiangyang</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="fn" rid="fn1">
<sup>&#x2020;</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2321680/overview"/>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Gao</surname>
<given-names>Lei</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Zhu</surname>
<given-names>Jinlong</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Wang</surname>
<given-names>Liping</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Wang</surname>
<given-names>Xiaomeng</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Su</surname>
<given-names>Qinqin</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Gao</surname>
<given-names>Song</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Zou</surname>
<given-names>Ruqiang</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1513760/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Zhao</surname>
<given-names>Yusheng</given-names>
</name>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Han</surname>
<given-names>Songbai</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2323079/overview"/>
</contrib>
</contrib-group>
<aff id="aff1">
<sup>1</sup>
<institution>Academy for Advanced Interdisciplinary Studies</institution>, <institution>Southern University of Science and Technology</institution>, <addr-line>Shenzhen</addr-line>, <country>China</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>School of Materials Science and Engineering</institution>, <institution>Peking University</institution>, <addr-line>Beijing</addr-line>, <country>China</country>
</aff>
<aff id="aff3">
<sup>3</sup>
<institution>Eastern Institute for Advanced Study</institution>, <addr-line>Ningbo</addr-line>, <country>China</country>
</aff>
<author-notes>
<fn fn-type="edited-by">
<p>
<bold>Edited by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1856186/overview">Jianneng Liang</ext-link>, Shenzhen University, China</p>
</fn>
<fn fn-type="edited-by">
<p>
<bold>Reviewed by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/190144/overview">Xia Li</ext-link>, Concordia University, Canada</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/754610/overview">Yang Zhao</ext-link>, Western University, Canada</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1797446/overview">Chuang Yu</ext-link>, Huazhong University of Science and Technology, China</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: Lei Gao, <email>gaolei2018@pku.edu.cn</email>; Songbai Han, <email>hansb@sustech.edu.cn</email>
</corresp>
<fn fn-type="equal" id="fn1">
<label>
<sup>&#x2020;</sup>
</label>
<p>These authors share first authorship</p>
</fn>
</author-notes>
<pub-date pub-type="epub">
<day>20</day>
<month>07</month>
<year>2023</year>
</pub-date>
<pub-date pub-type="collection">
<year>2023</year>
</pub-date>
<volume>11</volume>
<elocation-id>1230187</elocation-id>
<history>
<date date-type="received">
<day>28</day>
<month>05</month>
<year>2023</year>
</date>
<date date-type="accepted">
<day>10</day>
<month>07</month>
<year>2023</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2023 Di, Pan, Gao, Zhu, Wang, Wang, Su, Gao, Zou, Zhao and Han.</copyright-statement>
<copyright-year>2023</copyright-year>
<copyright-holder>Di, Pan, Gao, Zhu, Wang, Wang, Su, Gao, Zou, Zhao and Han</copyright-holder>
<license xlink:href="http://creativecommons.org/licenses/by/4.0/">
<p>This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.</p>
</license>
</permissions>
<abstract>
<p>Solid-state electrolytes (SSEs) hold the key position in the progress of cutting-edge all-solid-state batteries (ASSBs). The ionic conductivity of solid-state electrolytes is linked to the presence of both amorphous and crystalline phases. This study employs the synthesis method of mechanochemical milling on binary <italic>x</italic>Li<sub>2</sub>S-(100-<italic>x</italic>)LiI system to investigate the effect of amorphization on its ionic conductivity. Powder X-ray diffraction (PXRD) shows that the stoichiometry of Li<sub>2</sub>S and LiI has a significant impact on the amorphization of <italic>x</italic>Li<sub>2</sub>S-(100-<italic>x</italic>)LiI system. Furthermore, the analysis of electrochemical impedance spectroscopy (EIS) indicates that the amorphization of <italic>x</italic>Li<sub>2</sub>S-(100-<italic>x</italic>)LiI system is strongly correlated with its ionic conductivity, which is primarily attributed to the effect of grain boundary resistance. These findings uncover the latent connections between amorphization, grain boundary resistance, and ionic conductivity, offering insight into the design of innovative amorphous SSEs.</p>
</abstract>
<kwd-group>
<kwd>solid-state electrolytes</kwd>
<kwd>ionic conductivity</kwd>
<kwd>amorphous</kwd>
<kwd>grain boundary resistance</kwd>
<kwd>mechanochemical milling</kwd>
</kwd-group>
<contract-num rid="cn001">52227802 12275119 U22A20439</contract-num>
<contract-sponsor id="cn001">National Natural Science Foundation of China<named-content content-type="fundref-id">10.13039/501100001809</named-content>
</contract-sponsor>
<custom-meta-wrap>
<custom-meta>
<meta-name>section-at-acceptance</meta-name>
<meta-value>Electrochemistry</meta-value>
</custom-meta>
</custom-meta-wrap>
</article-meta>
</front>
<body>
<sec id="s1">
<title>1 Introduction</title>
<p>All-solid-state batteries (ASSBs) offer a viable solution to mitigate the safety concerns of conventional lithium-ions batteries (LIBs), in addition to their potential for exploiting the Li-metal anode with a theoretical specific capacity of 3,860&#xa0;mAh g<sup>&#x2212;1</sup> and electrochemical potential of &#x2212;3.04&#xa0;V <italic>versus</italic> the standard hydrogen electrode, thereby enabling a significant enhancement of the energy-density of the batteries (<xref ref-type="bibr" rid="B13">Janek and Zeier, 2016</xref>). To make ASSBs practical, it is crucial to advance the development of solid-state electrolytes (SSEs) with exceptional performance (<xref ref-type="bibr" rid="B33">Xia et al., 2019</xref>; <xref ref-type="bibr" rid="B1">Abakumov et al., 2020</xref>; <xref ref-type="bibr" rid="B37">Zhao et al., 2020</xref>). Typical SSEs mainly include sulfide, halide, oxide, and other systems. Sulfide SSEs commonly exhibit high ionic conductivity and good processability, but the low intrinsic electrochemical stability windows (<xref ref-type="bibr" rid="B39">Zhu et al., 2015</xref>). Halide SSEs offer high ionic conductivity and compatibility with high voltage cathodes such as LiCoO<sub>2</sub>, but are not stable with Li-metal anode (<xref ref-type="bibr" rid="B18">Kwak et al., 2022</xref>). Oxide SSEs exhibit wide electrochemical stability windows, but feature high interfacial and grain boundary resistance (<xref ref-type="bibr" rid="B40">van den Broek et al., 2016</xref>). Each SSE owns distinct properties in terms of ionic conductivity, electrochemical window, and stability in the air (<xref ref-type="bibr" rid="B14">Kamaya et al., 2011</xref>; <xref ref-type="bibr" rid="B22">Manthiram et al., 2017</xref>; <xref ref-type="bibr" rid="B36">Yao et al., 2019</xref>; <xref ref-type="bibr" rid="B15">Kim et al., 2020</xref>; <xref ref-type="bibr" rid="B19">Li et al., 2020</xref>; <xref ref-type="bibr" rid="B34">Xu et al., 2023</xref>). Notably, ionic conductivity is a vital performance indicator that impacts the application of SSEs (<xref ref-type="bibr" rid="B18">Kwak et al., 2022</xref>; <xref ref-type="bibr" rid="B35">Yang and Wu, 2022</xref>).</p>
<p>The ionic conductivity of SSEs can be optimized by manipulating lattice structure, element substitution, phase change, amorphization, etc (<xref ref-type="bibr" rid="B2">Asano et al., 2018</xref>; <xref ref-type="bibr" rid="B31">Wang et al., 2019</xref>; <xref ref-type="bibr" rid="B21">Luo et al., 2021</xref>; <xref ref-type="bibr" rid="B18">Kwak et al., 2022</xref>; <xref ref-type="bibr" rid="B26">Schweiger et al., 2022</xref>; <xref ref-type="bibr" rid="B28">Szczuka et al., 2022</xref>). Among these methods, amorphization has gained attention due to the emergence of mechanochemical synthesis methods, which is an effective approach to synthesizing SSEs with lower grain boundary resistance (<xref ref-type="bibr" rid="B5">Dalvi and Shahi, 2004</xref>; <xref ref-type="bibr" rid="B24">Morimoto et al., 2004</xref>; <xref ref-type="bibr" rid="B16">Kim and Martin, 2006</xref>; <xref ref-type="bibr" rid="B6">Enayati and Mohamed, 2014</xref>). Representatively, the amorphous Li<sub>2</sub>S-P<sub>2</sub>S<sub>5</sub> binary system SSEs can be prepared by mechanical milling and exhibit a high ionic conductivity (&#x3e;10<sup>&#x2013;4</sup>&#xa0;S/cm) (<xref ref-type="bibr" rid="B9">Hayashi et al., 2004</xref>). In addition, some SSEs such as Li<sub>6</sub>PS<sub>5</sub>I (<xref ref-type="bibr" rid="B3">Brinek et al., 2020</xref>), Li<sub>2</sub>B<sub>4</sub>O<sub>7</sub> (<xref ref-type="bibr" rid="B32">Wohlmuth et al., 2016</xref>), Li<sub>2</sub>ZrCl<sub>6</sub> (<xref ref-type="bibr" rid="B4">Chen et al., 2021</xref>), and Li<sub>3</sub>YCl<sub>6</sub> (<xref ref-type="bibr" rid="B2">Asano et al., 2018</xref>) show higher ionic conductivity after undergoing amorphization. However, the impact of amorphization on the ionic conductivity varies depending on the specific SSEs system, crystalline structures play a critical role in ionic conductivity for numerous SSEs. (<xref ref-type="bibr" rid="B38">Zhao et al., 2019</xref>; <xref ref-type="bibr" rid="B26">Schweiger et al., 2022</xref>). For instance, a recent study by Schweiger et al. revealed that Li<sub>10</sub>GeP<sub>2</sub>S<sub>12</sub> experienced an increase in grain boundary resistance and a decrease in ionic conductivity with increasing milling time against the behavior of other SSEs. The mechanism behind this phenomenon is that defects and site disorder caused by ball milling impede the migration of lithium ions within the lattice (<xref ref-type="bibr" rid="B26">Schweiger et al., 2022</xref>). Therefore, it is essential to investigate the impact of amorphization on the grain boundary resistance and ionic conductivity of SSEs, while also elucidating the underlying mechanism.</p>
<p>In this study, the amorphous SSEs of binary <italic>x</italic>Li<sub>2</sub>S-(100-<italic>x</italic>)LiI (10 &#x2264; <italic>x</italic> &#x2264; 90) were synthesized by mechanical ball-milling method for the first time. PXRD analysis indicates that the amorphization degree of <italic>x</italic>Li<sub>2</sub>S-(100-<italic>x</italic>)LiI system is significantly influenced by the stoichiometry of Li<sub>2</sub>S and LiI. Furthermore, electrochemical impedance spectroscopy (EIS) analysis reveals a strong correlation between the amorphization degree of the <italic>x</italic>Li<sub>2</sub>S-(100-<italic>x</italic>)LiI system and its ionic conductivity, with the effect of grain boundary resistance being the primary contributing factor. Additionally, the increase of Li<sub>2</sub>S content in <italic>x</italic>Li<sub>2</sub>S-(100-<italic>x</italic>)LiI may restrict the grain boundary impedance reduction caused by amorphization.</p>
</sec>
<sec sec-type="materials|methods" id="s2">
<title>2 Materials and methods</title>
<sec id="s2-1">
<title>2.1 Materials synthesis</title>
<p>The amorphous SSEs of binary <italic>x</italic>Li<sub>2</sub>S-(100-<italic>x</italic>)LiI (<italic>x</italic> &#x3d; 10, 30, 50, 70, 90) were synthesized through a ball milling process. First, the starting materials of Li<sub>2</sub>S (Alfa Aesar, 99.9%) and LiI (Energy chemical, 98%) were ground in an agate mortar for 30&#xa0;min to get the homogeneous mixture. Then, the stoichiometric mixtures of Li<sub>2</sub>S and LiI were ball-milled at 500&#xa0;rpm for 33&#xa0;h in a grinding jar with ZrO<sub>2</sub> balls using planetary ball mill (Pulverisette 7&#xa0;PL, Fritsch). The ball-to-powder mass ratio is 20:1 during sample preparation, and each cycle running for 15&#xa0;min and resting for 5&#xa0;min. The entire preparation process were carried out under an argon atmosphere (O<sub>2</sub> &#x3c; 0.1 ppm, H<sub>2</sub>O &#x3c; 0.1&#xa0;ppm).</p>
</sec>
<sec id="s2-2">
<title>2.2 X-ray diffraction measurements</title>
<p>PXRD measurements were conducted at room temperature on an Empyrean diffractometer from Malvern Panalytical using Cu K&#x3b1; (<italic>&#x3bb;</italic> &#x3d; 1.541,874&#xa0;&#xc5;) and a Bragg&#x2013;Brentano geometry, for identify the phases of <italic>x</italic>Li<sub>2</sub>S-(100-<italic>x</italic>)LiI binary system. PXRD data were collected with 2<italic>&#x3b8;</italic> ranging from 20&#xb0; to 90&#xb0; at a scan rate of 0.14&#xb0; s<sup>&#x2212;1</sup>. Before measurements, each sample was placed on a zero-background sample holder in an Ar-filled glovebox and protected by a Kapton film for the hygroscopicity of <italic>x</italic>Li<sub>2</sub>S-(100-<italic>x</italic>)LiI.</p>
</sec>
<sec id="s2-3">
<title>2.3 Electrochemical impedance spectroscopy measurements</title>
<p>Ionic conductivities of <italic>x</italic>Li<sub>2</sub>S-(100-<italic>x</italic>)LiI binary system were obtained through EIS measurement. Powder samples of <italic>x</italic>Li<sub>2</sub>S-(100-<italic>x</italic>)LiI were cold pressed into pellets under 4 tons in an insulative mold, and the pellets were placed between two stainless steel rods served as blocking electrodes. EIS measurement was performed on electrochemical workstation analyzer (AUTOLAB M204) in a frequency range from 1&#xa0;MHz to 1&#xa0;Hz with an amplitude of 50&#xa0;mV. Moreover, the Nyquist curves were fitted by equivalent circuit to obtain the bulk resistance and grain boundary resistance of <italic>x</italic>Li<sub>2</sub>S-(100-<italic>x</italic>)LiI SSEs.</p>
</sec>
</sec>
<sec sec-type="results|discussion" id="s3">
<title>3 Results and discussion</title>
<p>As presented in <xref ref-type="fig" rid="F1">Figure 1</xref>, the amorphous degree of <italic>x</italic>Li<sub>2</sub>S-(100-<italic>x</italic>)LiI (<italic>x</italic> &#x3d; 10, 30, 50, 70 and 90) system significantly depends on the stoichiometry of Li<sub>2</sub>S and LiI. Before ball-milling, all PXRD patterns of <italic>x</italic>Li<sub>2</sub>S-(100-<italic>x</italic>)LiI exhibit sharp-peak feature, which indicates their good crystallinity (<xref ref-type="fig" rid="F1">Figure 1A</xref>). In contrast, the PXRD patterns of <italic>x</italic>Li<sub>2</sub>S-(100-<italic>x</italic>)LiI after ball-milling exhibit different degrees of broadening (<xref ref-type="fig" rid="F1">Figure 1B</xref>). Representatively, FWHM of the PXRD peaks in the range of 40&#xb0;&#x2013;50&#xb0; is used here to quantitatively analyze the amorphization degree of <italic>x</italic>Li<sub>2</sub>S-(100-<italic>x</italic>)LiI binary system (<xref ref-type="bibr" rid="B11">Indris et al., 2000</xref>; <xref ref-type="bibr" rid="B25">Sasano et al., 2011</xref>; <xref ref-type="bibr" rid="B10">Holder and Schaak, 2019</xref>; <xref ref-type="bibr" rid="B20">Londono-Restrepo et al., 2019</xref>; <xref ref-type="bibr" rid="B26">Schweiger et al., 2022</xref>; <xref ref-type="bibr" rid="B27">Sun et al., 2022</xref>). It should be emphasized that the peak positions and FWHM of Li<sub>2</sub>S or LiI at <italic>x</italic> &#x3d; 10 or 90 are not discernible from the PXRD pattern due to the low content. Surprisingly, different stoichiometric ratios of Li<sub>2</sub>S and LiI in <italic>x</italic>Li<sub>2</sub>S-(100-<italic>x</italic>)LiI lead to obviously different amorphization degrees, even under the same ball-milling conditions. As shown in <xref ref-type="fig" rid="F1">Figures 1C, D</xref>, the FWHM of LiI presents an increasing trend with the increase of Li<sub>2</sub>S and changes from 0.239 (<italic>x</italic> &#x3d; 10) to 1.124 (<italic>x</italic> &#x3d; 70), which demonstrates that the presence of Li<sub>2</sub>S can promote the amorphization of LiI. In contrast, the FWHM of Li<sub>2</sub>S seems to tend to remain constant as <italic>x</italic> increases in <italic>x</italic>Li<sub>2</sub>S-(100-<italic>x</italic>)LiI (<italic>x</italic> &#x2265; 50). Interestingly, the amorphization degree of the <italic>x</italic>Li<sub>2</sub>S-(100-<italic>x</italic>)P<sub>2</sub>S<sub>5</sub> binary system is also dependent on the stoichiometric ratios of Li<sub>2</sub>S and P<sub>2</sub>S<sub>5</sub> (<xref ref-type="bibr" rid="B23">Minami et al., 2006</xref>; <xref ref-type="bibr" rid="B29">Tatsumisago and Hayashi, 2012</xref>; <xref ref-type="bibr" rid="B17">Kudu et al., 2018</xref>). However, the amorphization degree of <italic>x</italic>Li<sub>2</sub>S-(100-<italic>x</italic>)P<sub>2</sub>S<sub>5</sub> diminishes as Li<sub>2</sub>S increases, accompanied by the appearance of sharp peaks of Li<sub>2</sub>S in the PXRD patterns (<xref ref-type="bibr" rid="B9">Hayashi et al., 2004</xref>). Therefore, the difference between the <italic>x</italic>Li<sub>2</sub>S-(100-<italic>x</italic>)LiI and <italic>x</italic>Li<sub>2</sub>S-(100-<italic>x</italic>)P<sub>2</sub>S<sub>5</sub> suggests that the amorphization degree depends not only on the stoichiometric ratios but also on the composition of the compound in the binary system.</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>PXRD patterns of <italic>x</italic>Li<sub>2</sub>S-(100-<italic>x</italic>)LiI (<italic>x</italic> &#x3d; 10, 30, 50, 70 and 90) <bold>(A)</bold> before ball-milling and <bold>(B)</bold> after ball-milling <bold>(C)</bold> FWHM of LiI peak in 40&#xb0;&#x2013;45&#xb0; (<italic>x</italic> &#x3d; 10, 30, 50, 70) <bold>(D)</bold> FWHM of Li<sub>2</sub>S peak in 40&#xb0;&#x2013;45&#xb0; (<italic>x</italic> &#x3d; 30, 50, 70, 90).</p>
</caption>
<graphic xlink:href="fchem-11-1230187-g001.tif"/>
</fig>
<p>The stoichiometric ratios of Li<sub>2</sub>S and LiI determine the amorphization degree of the <italic>x</italic>Li<sub>2</sub>S-(100-<italic>x</italic>)LiI binary system, which significantly affects its ionic conductivity. <xref ref-type="fig" rid="F2">Figure 2A</xref> shows the Nyquist plots of amorphous <italic>x</italic>Li<sub>2</sub>S-(100-<italic>x</italic>)LiI binary system at room temperature (RT), and each curve exhibits a typical semicircle at high frequency representing the resistance and the linear part at low frequency representing ion blocking electrode. The EIS data were processed based on the formula: <italic>Z</italic> &#x3d; (<italic>Z</italic>
<sub>0</sub> &#xd7; <italic>S</italic>)/<italic>l</italic> to eliminate the effect of SSE pellet thickness and area on the impedance, in which <italic>Z</italic>
<sub>0</sub> is the raw data of the measured EIS, <italic>l</italic> is the thickness, and <italic>S</italic> is the area of SSE pellet. Fitting the plot by the equivalent circuit leads to the resistance <italic>R</italic>, which corresponds to the value of the real part of the Nyquist curve, and the ionic conductivity is calculated according to the formula of <italic>&#x3c3;</italic> &#x3d; <italic>l</italic>/(<italic>R</italic> &#xd7; <italic>S</italic>). As presented in <xref ref-type="fig" rid="F2">Figure 2B</xref>, the ionic conductivities of <italic>x</italic>Li<sub>2</sub>S-(100-<italic>x</italic>)LiI show a non-monotonic variation with the increase of <italic>x</italic>. As <italic>x</italic> increased from 10 to 70, the ionic conductivity of <italic>x</italic>Li<sub>2</sub>S-(100-<italic>x</italic>)LiI increased from 1.03 &#xd7; 10<sup>&#x2212;6</sup>&#xa0;S/cm to 8.43 &#xd7; 10<sup>&#x2212;6</sup>&#xa0;S/cm. Subsequently, after <italic>x</italic> continued to increase to 90, the ionic conductivity appeared to drop significantly to 1.78 &#xd7; 10<sup>&#x2212;7</sup>&#xa0;S/cm. The above non-monotonic ionic conductivity changes may be attributed to both the amorphization degree of LiI and the content of Li<sub>2</sub>S in <italic>x</italic>Li<sub>2</sub>S-(100-<italic>x</italic>)LiI. In the first stage (<italic>x</italic> from 10 to 70), the amorphization of LiI is the dominant factor in influencing the ionic conductivity of <italic>x</italic>Li<sub>2</sub>S-(100-<italic>x</italic>)LiI (<xref ref-type="fig" rid="F1">Figure 1C</xref>). However, in the next stage (<italic>x</italic> from 70 to 90), the adverse effect of Li<sub>2</sub>S content on ionic conductivity may play a major role.</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>
<bold>(A)</bold> Nyquist plots of the amorphous <italic>x</italic>Li<sub>2</sub>S-(10-<italic>x</italic>)LiI <bold>(B)</bold> Ionic conductivities of the amorphous <italic>x</italic>Li<sub>2</sub>S-(10-<italic>x</italic>)LiI.</p>
</caption>
<graphic xlink:href="fchem-11-1230187-g002.tif"/>
</fig>
<p>To understand the ionic transport mechanism of the amorphous <italic>x</italic>Li<sub>2</sub>S-(100-<italic>x</italic>)LiI in depth, the Nyquist plots were fitted with the equivalent circuit consisting of bulk resistance (<italic>R</italic>
<sub>b</sub>), grain boundary resistance (<italic>R</italic>
<sub>gb</sub>) and constant phase element (CPE). As illustrated in <xref ref-type="fig" rid="F3">Figure 3A</xref>, lithium ions transport in the bulk phase and grain boundary of SSEs, which determines the overall ionic conductivity of <italic>x</italic>Li<sub>2</sub>S-(100-<italic>x</italic>)LiI (<xref ref-type="bibr" rid="B7">Gao et al., 2016</xref>; <xref ref-type="bibr" rid="B8">Goswami and Kant, 2019</xref>; <xref ref-type="bibr" rid="B30">Vadhva et al., 2021</xref>). Obviously, the hindrance of lithium ions transport at the grain boundaries is stronger than that of the bulk phase according to <xref ref-type="fig" rid="F3">Figures 3B&#x2013;F</xref>. For 10Li<sub>2</sub>S-90LiI, for example, its <italic>R</italic>
<sub>gb</sub> is 947.7&#xa0;k&#x3a9;&#xa0;cm, which is much higher than that of <italic>R</italic>
<sub>b</sub> (8,403&#xa0;<italic>&#x3a9;</italic>&#xa0;cm). Besides, the variation of <italic>R</italic>
<sub>gb</sub> is significantly higher than that of <italic>R</italic>
<sub>b</sub>. The <italic>R</italic>
<sub>b</sub> and <italic>R</italic>
<sub>gb</sub> of 70Li<sub>2</sub>S-30LiI with the highest ionic conductivity are 3,632&#xa0;<italic>&#x3a9;</italic>&#xa0;cm and 116.1&#xa0;k&#x3a9;&#xa0;cm respectively. In contrast, the <italic>R</italic>
<sub>b</sub> and <italic>R</italic>
<sub>gb</sub> of 90Li<sub>2</sub>S-10LiI with the lowest ionic conductivity are 9,925&#xa0;<italic>&#x3a9;</italic>&#xa0;cm and 5,566.4&#xa0;k&#x3a9;&#xa0;cm respectively.</p>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption>
<p>
<bold>(A)</bold> Equivalent circuit model for SSEs, consisting of <italic>R</italic>
<sub>b</sub>, <italic>R</italic>
<sub>gb</sub> and CPE. The fitting results of Nyquist plots of <bold>(B)</bold> 10Li<sub>2</sub>S-90LiI <bold>(C)</bold> 30Li<sub>2</sub>S-70LiI <bold>(D)</bold> 50Li<sub>2</sub>S-50LiI <bold>(E)</bold> 70Li<sub>2</sub>S-30LiI <bold>(F)</bold> 90Li<sub>2</sub>S-10LiI.</p>
</caption>
<graphic xlink:href="fchem-11-1230187-g003.tif"/>
</fig>
<p>Furthermore, to present the dependence of <italic>R</italic>
<sub>b</sub> and <italic>R</italic>
<sub>gb</sub> on <italic>x</italic> in <italic>x</italic>Li<sub>2</sub>S-(100-<italic>x</italic>)LiI, the differences between <italic>R</italic>
<sub>b</sub> and <italic>R</italic>
<sub>gb</sub> on logarithmic scale are presented in <xref ref-type="fig" rid="F4">Figure 4A</xref>. While the ionic conductivity of <italic>x</italic>Li<sub>2</sub>S-(100-<italic>x</italic>)LiI undergoes the significant change with <italic>x</italic> from 10 to 90 (<xref ref-type="fig" rid="F2">Figure 2</xref>), <italic>R</italic>
<sub>b</sub> does not undergo a distinct fluctuation, as well as the bulk phase conductivity <italic>&#x3c3;</italic>
<sub>b</sub>. In contrast, <italic>R</italic>
<sub>gb</sub> and the grain boundary conductivity <italic>&#x3c3;</italic>
<sub>gb</sub> show the significant changes and are in agreement with the trend of the ionic conductivity (<xref ref-type="fig" rid="F4">Figure 4B</xref>). Also, the conductivity isotherms extracted from EIS can reflect the dependence of the grain boundary conductivity on <italic>x</italic> in <italic>x</italic>Li<sub>2</sub>S-(100-<italic>x</italic>)LiI, which is consistent with the results of the Nyquist curves fitted with the equivalent circuit. As shown in <xref ref-type="fig" rid="F5">Figure 5A</xref>, conductivity isotherms are plotted from the real part (<italic>&#x3c3;</italic>&#x2032;) of the complex ionic conductivity as a function of frequency. Typically, the frequency independent plateaus (marked by arrow) correspond to the ionic conductivities at the grain boundary of SSEs (<xref ref-type="bibr" rid="B26">Schweiger et al., 2022</xref>). As <italic>x</italic> increases, the plateau of <italic>&#x3c3;</italic>&#x2032; gradually reaches a maximum of 8.50 &#xd7; 10<sup>&#x2212;6</sup>&#xa0;S/cm at <italic>x</italic> &#x3d; 70, then dropping to a minimum of 1.79 &#xd7; 10<sup>&#x2212;6</sup>&#xa0;S/cm at <italic>x</italic> &#x3d; 90. It is worth emphasizing that the feature of conductivity isotherms not only agrees with the analysis of the Nyquist curve, but also the values corresponding to the plateau of <italic>&#x3c3;</italic>&#x2032; are very close to the grain boundary conductivity <italic>&#x3c3;</italic>
<sub>gb</sub> in <xref ref-type="fig" rid="F4">Figure 4B</xref>, which confirms the above analysis of ionic conductivity of amorphous <italic>x</italic>Li<sub>2</sub>S-(100-<italic>x</italic>)LiI. In addition, the imaginary part (Z&#x2033;) of the complex impedance as a function of frequency is plotted in <xref ref-type="fig" rid="F5">Figure 5B</xref>, and the Z&#x2033; peak height is usually considered to be equal to half of the most resistive elements (here, i.e., the grain boundary resistance) in SSEs (<xref ref-type="bibr" rid="B12">Irvine et al., 1990</xref>). Consistently, the dependence of Z&#x2033; peak height on <italic>x</italic> can also corroborate the results of Nyquist curves fitted with the equivalent circuit.</p>
<fig id="F4" position="float">
<label>FIGURE 4</label>
<caption>
<p>
<bold>(A)</bold> Resistance of bulk and grain boundary in <italic>x</italic>Li<sub>2</sub>S-(100-<italic>x</italic>)LiI. <bold>(B)</bold> Ionic conductivity of bulk and grain boundary in <italic>x</italic>Li<sub>2</sub>S-(100-<italic>x</italic>)LiI.</p>
</caption>
<graphic xlink:href="fchem-11-1230187-g004.tif"/>
</fig>
<fig id="F5" position="float">
<label>FIGURE 5</label>
<caption>
<p>
<bold>(A)</bold> The conductivity isotherms of <italic>x</italic>Li<sub>2</sub>S-(100-<italic>x</italic>)LiI <bold>(B)</bold> The imaginary part of the complex impedance of <italic>x</italic>Li<sub>2</sub>S-(100-<italic>x</italic>)LiI.</p>
</caption>
<graphic xlink:href="fchem-11-1230187-g005.tif"/>
</fig>
<p>Obviously, the above results indicate that the ionic conductivity change of amorphous <italic>x</italic>Li<sub>2</sub>S-(100-<italic>x</italic>)LiI depends directly on the grain boundary conductivity <italic>&#x3c3;</italic>
<sub>gb</sub> and is almost unaffected by the bulk phase conductivity <italic>&#x3c3;</italic>
<sub>b</sub>. On the other hand, in combination with the PXRD data of <italic>x</italic>Li<sub>2</sub>S-(100-<italic>x</italic>)LiI (<xref ref-type="fig" rid="F1">Figure 1</xref>), it can be concluded that the increase in grain boundary conductivity <italic>&#x3c3;</italic>
<sub>gb</sub> may depend on the enhanced amorphization of LiI as <italic>x</italic> increases from 10 to 70, while the decrease in grain boundary conductivity <italic>&#x3c3;</italic>
<sub>gb</sub> may be mainly affected by the increase in Li<sub>2</sub>S content as <italic>x</italic> increases from 70 to 90. In other words, there is a competitive relationship between the amorphization of LiI and the content of Li<sub>2</sub>S in affecting the grain boundary conductivity of amorphous <italic>x</italic>Li<sub>2</sub>S-(100-<italic>x</italic>)LiI.</p>
</sec>
<sec sec-type="conclusion" id="s4">
<title>4 Conclusion</title>
<p>In conclusion, the amorphous <italic>x</italic>Li<sub>2</sub>S-(100-<italic>x</italic>)LiI (10 &#x2264; <italic>x</italic> &#x2264; 90) binary system was synthesized by mechanical ball-milling method. The PXRD analysis significantly demonstrated that the increase of Li<sub>2</sub>S content can promote the amorphization of LiI, and the amorphous degree of Li<sub>2</sub>S tend to remain constant as <italic>x</italic> increases in <italic>x</italic>Li<sub>2</sub>S-(100-<italic>x</italic>)LiI (<italic>x</italic> &#x2265; 50). The EIS analysis revealed that the change in ionic conductivity of amorphous <italic>x</italic>Li<sub>2</sub>S-(100-<italic>x</italic>)LiI depends on the grain boundary conductivity and is almost unaffected by the bulk phase conductivity. In addition, the competitive mechanism between the amorphization of LiI and the content of Li<sub>2</sub>S in affecting the grain boundary conductivity was found. The findings of <italic>x</italic>Li<sub>2</sub>S-(100-<italic>x</italic>)LiI binary system provide insights into the future design of new amorphous SSEs.</p>
</sec>
</body>
<back>
<sec sec-type="data-availability" id="s5">
<title>Data availability statement</title>
<p>The raw data supporting the conclusion of this article will be made available by the authors, without undue reservation.</p>
</sec>
<sec id="s6">
<title>Author contributions</title>
<p>SH and LG designed the project. LD carried out the experiments; LG and LD performed the electrochemical properties and analyzed all the data. LG and JP wrote the manuscript. All authors contributed to the article and approved the submitted version.</p>
</sec>
<ack>
<p>This work was supported by the open research fund of Songshan Lake Materials Laboratory (2022SLABFK04), the Shenzhen Foundation Research Fund granted by the Shenzhen Science and Technology Innovation Committee (JCYJ20220530112812028), National Natural Science Foundation of China (No. 52227802, 12275119, U22A20439), Major Technologies R &#x26; D Program of Shenzhen (JSGGZD20220822095600001), Guangdong Grants (2021ZT09C064), Shenzhen Science and Technology Program (KQTD20200820113047086). The authors thank the support from the Shenzhen Key Laboratory of Solid State Batteries, the Guangdong Provincial Key Laboratory of Energy Materials for Electric Power, the Guangdong-Hong Kong-Macao Joint Laboratory for Photonic-Thermal-Electrical Energy Materials and Devices, Major Science and Technology Infrastructure Project of Material Genome Big-science Facilities Platform supported by Municipal Development and Reform Commission of Shenzhen.</p>
</ack>
<sec sec-type="COI-statement" id="s7">
<title>Conflict of interest</title>
<p>The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
</sec>
<sec sec-type="disclaimer" id="s8">
<title>Publisher&#x2019;s note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
<sec id="s9">
<title>Supplementary material</title>
<p>The Supplementary Material for this article can be found online at: <ext-link ext-link-type="uri" xlink:href="https://www.frontiersin.org/articles/10.3389/fchem.2023.1230187/full#supplementary-material">https://www.frontiersin.org/articles/10.3389/fchem.2023.1230187/full&#x23;supplementary-material</ext-link>
</p>
<supplementary-material xlink:href="DataSheet1.docx" id="SM1" mimetype="application/docx" xmlns:xlink="http://www.w3.org/1999/xlink"/>
</sec>
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