<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE article PUBLIC "-//NLM//DTD Journal Publishing DTD v2.3 20070202//EN" "journalpublishing.dtd">
<article article-type="research-article" dtd-version="2.3" xml:lang="EN" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">
<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Phys.</journal-id>
<journal-title>Frontiers in Physics</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Phys.</abbrev-journal-title>
<issn pub-type="epub">2296-424X</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="publisher-id">731851</article-id>
<article-id pub-id-type="doi">10.3389/fphy.2021.731851</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Physics</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Improvement of the High-Performance Al-Doped LiNi<sub>1/3</sub>Co<sub>1/3</sub>Mn<sub>1/3</sub>O<sub>2</sub> Cathode Material for New Electro-Optical Conversion Devices</article-title>
<alt-title alt-title-type="left-running-head">Gao et&#x20;al.</alt-title>
<alt-title alt-title-type="right-running-head">Cathode Material of New Optoelectronic Devices</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Gao</surname>
<given-names>Yumei</given-names>
</name>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
<uri xlink:href="https://loop.frontiersin.org/people/953872/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Yuan</surname>
<given-names>Wangran</given-names>
</name>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Dou</surname>
<given-names>Xinqi</given-names>
</name>
</contrib>
</contrib-group>
<aff>College of Electron and Information, Zhongshan Institute, University of Electronic Science and Technology of China, <addr-line>Zhongshan</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/937289/overview">Qiang Xu</ext-link>, Nanyang Technological University, Singapore</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/1396048/overview">Hongdong Liang</ext-link>, Guangzhou University, China</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1399136/overview">Qiming Zhu</ext-link>, Guangxi University for Nationalities, China</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: Yumei Gao, <email>yumeigao5697@163.com</email>
</corresp>
<fn fn-type="other">
<p>This article was submitted to Optics and Photonics, a section of the journal Frontiers in Physics</p>
</fn>
</author-notes>
<pub-date pub-type="epub">
<day>13</day>
<month>08</month>
<year>2021</year>
</pub-date>
<pub-date pub-type="collection">
<year>2021</year>
</pub-date>
<volume>9</volume>
<elocation-id>731851</elocation-id>
<history>
<date date-type="received">
<day>28</day>
<month>06</month>
<year>2021</year>
</date>
<date date-type="accepted">
<day>27</day>
<month>07</month>
<year>2021</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2021 Gao, Yuan and Dou.</copyright-statement>
<copyright-year>2021</copyright-year>
<copyright-holder>Gao, Yuan and Dou</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&#x20;terms.</p>
</license>
</permissions>
<abstract>
<p>The ternary cathode material LiNi<sub>1/3</sub>Co<sub>1/3</sub>Mn<sub>1/3</sub>O<sub>2</sub> has been extensively focused on as the power sources for new electro-optical conversion devices and lithium-ion batteries. To improve the electrochemical performance, Al doping is one of the effective strategies. Based on the density functional theory of first-principles, the band gap, volume, partial density of states, lithiation formation energy, electron density difference, and electrons&#x2019; potential energy of Li<sub>1.0-<italic>x</italic>
</sub>Al<sub>
<italic>x</italic>
</sub>Ni<sub>1/3</sub>Co<sub>1/3</sub>Mn<sub>1/3</sub>O<sub>2</sub> were simulated and analyzed with Materials Studio, Nanodcal and Matlab. Results show that Li<sub>0.9</sub>Al<sub>0.1</sub>Ni<sub>1/3</sub>Co<sub>1/3</sub>Mn<sub>1/3</sub>O<sub>2</sub> has a better conductivity and cycling capability. The potential energy maps of Li<sub>1.0-<italic>x</italic>
</sub>Al<sub>
<italic>x</italic>
</sub>Ni<sub>1/3</sub>Co<sub>1/3</sub>Mn<sub>1/3</sub>O<sub>2</sub> simulated in Matlab indicate that the rate capability of LiNi<sub>1/3</sub>Co<sub>1/3</sub>Mn<sub>1/3</sub>O<sub>2</sub> is promoted after Al doping. Our theoretical advice could be an important choice for the power application of new optoelectronic devices. In addition, our methods could provide some theoretical guidance for the subsequent electrochemical performance investigations on doping of optoelectronic devices or lithium-ion battery materials.</p>
</abstract>
<kwd-group>
<kwd>density functional theory</kwd>
<kwd>Li<sub>1.0-x</sub>Al<sub>x</sub>Ni<sub>1/3</sub>Co<sub>1/3</sub>Mn<sub>1/3</sub>O<sub>2</sub>
</kwd>
<kwd>conductivity</kwd>
<kwd>rate capability</kwd>
<kwd>electro-optical conversion devices</kwd>
</kwd-group>
</article-meta>
</front>
<body>
<sec id="s1">
<title>Introduction</title>
<p>In recent years, rechargeable lithium-ion batteries (LIBs) are the leading power sources for new electro-optical conversion devices, portable electronic devices, electric vehicles and hybrid electric vehicles for their less pollution, good cycle property, no memory effect, high energy density, and high specific capacity at high voltage (4.5&#xa0;V) [<xref ref-type="bibr" rid="B1">1</xref>]. In fact, the specific capacity of commercial cathode materials of LIBs is far lower than that of the anode. With the growing demand for the increasing energy and power densities, conventional cathode materials such as LiCO<sub>2</sub> and spinel LiMn<sub>2</sub>O<sub>4</sub> are not satisfied with the new generation power sources. Moreover, the cathode&#x2019;s cost is much higher than that of the anode. Therefore, it is a major challenge to pursuit the appropriate cathode material for the power module of electro-optical conversion devices or&#x20;LIBs.</p>
<p>Nowadays, the layered ternary lithium nickel-cobalt-manganese oxide has been well studied and widely applied into LIBs and the power module of optoelectronic devices for their lower price, good cycle performance and high thermal stability [<xref ref-type="bibr" rid="B2">2</xref>]. Among various ternary cathode materials, LiNi<sub>1/3</sub>-Co<sub>1/3</sub>Mn<sub>1/3</sub>O<sub>2</sub>, whose structure likes LiCoO<sub>2</sub> with &#x3b1;-NaFeO<sub>2</sub>-type, is extensively investigated owing to high reversible capacity, low cost and enhanced thermal stability [<xref ref-type="bibr" rid="B3">3</xref>], and it is considered as an attractive candidate of cathode material for LIBs. Its precursors are synthesized by solid state, co-precipitation, sol-gel, hydrothermal synthesis, combustion, and chemical solution [<xref ref-type="bibr" rid="B4">4</xref>]. However, its drawbacks, such as low electronic conductivity, poor cycling performance at the high rate, and phase deterioration during the charging/discharging process, have hindered seriously its practical application&#x20;[<xref ref-type="bibr" rid="B5">5</xref>].</p>
<p>To improve the electrochemical properties of LiNi<sub>1/3</sub>Co<sub>1/3</sub>Mn<sub>1/3</sub>O<sub>2</sub>, many useful strategies, for instance, novel synthesis method [<xref ref-type="bibr" rid="B6">6</xref>,&#x20;<xref ref-type="bibr" rid="B7">7</xref>], morphology control [<xref ref-type="bibr" rid="B8">8</xref>, <xref ref-type="bibr" rid="B9">9</xref>], composite cathode [<xref ref-type="bibr" rid="B10">10</xref>, <xref ref-type="bibr" rid="B11">11</xref>], surface modification [<xref ref-type="bibr" rid="B12">12</xref>, <xref ref-type="bibr" rid="B13">13</xref>], and doping [<xref ref-type="bibr" rid="B14">14</xref>&#x2013;<xref ref-type="bibr" rid="B16">16</xref>], had been&#x20;carried out experimentally. Shao Z C et&#x20;al [<xref ref-type="bibr" rid="B14">14</xref>] reported LiNi<sub>1/3</sub>Co<sub>1/3-<italic>x</italic>
</sub>Mn<sub>1/3</sub>O<sub>2</sub> doped with Al<sub>2</sub>O<sub>3</sub> has the enhanced electrochemical properties when <italic>x</italic> was 5%. Also, Mg-doped (Zhu JP et&#x20;al [<xref ref-type="bibr" rid="B15">15</xref>]) and Na-doped (Li YH et&#x20;al [<xref ref-type="bibr" rid="B16">16</xref>]) cathode materials can keep the crystal structure stable with least capacity loss, their cycling stability and conductivity can be improved much comparison with their pristines. Al<sup>3&#x2b;</sup> has the similar outer shell and ionic radius as Mg<sup>2&#x2b;</sup>and Na<sup>&#x2b;</sup>, hence, Al doping has aroused more attention to improve the electrochemical performance of LiNi<sub>1/3</sub>Co<sub>1/3</sub>Mn<sub>1/3</sub>O<sub>2</sub>. Kim S et&#x20;al [<xref ref-type="bibr" rid="B17">17</xref>] found that residual Al in Li [Ni<sub>1/3</sub>Mn<sub>1/3</sub>Co<sub>1/3</sub>]Al<sub>
<italic>x</italic>
</sub>O<sub>2</sub> has an adverse effect on capacity and cycle ability when <italic>x</italic>&#x20;&#x3e; 0.05%. Zhang ZH et&#x20;al [<xref ref-type="bibr" rid="B18">18</xref>] claimed that Al doping in the Ni site can inhibit the mixing of cations, LiNi<sub>1/3-0.04</sub>Co<sub>1/3</sub>Mn<sub>1/3</sub>Al<sub>0.04</sub>O<sub>2</sub> has an excellent reversible discharge capacity. Li ZY [<xref ref-type="bibr" rid="B19">19</xref>] synthesized LiNi<sub>1/3</sub>Co<sub>1/3-<italic>x</italic>
</sub>Al<sub>
<italic>x</italic>
</sub>Mn<sub>1/3</sub>O<sub>2</sub> and the experimental results showed that the new Al-doped LiNi<sub>1/3</sub>Co<sub>1/3</sub>Mn<sub>1/3</sub>O<sub>2</sub> has a better rate&#x20;performance and cycling stability; Zhu JP et&#x20;al [<xref ref-type="bibr" rid="B20">20</xref>] prepared the LiNi<sub>1/3</sub>Co<sub>1/3-<italic>x</italic>
</sub>Al<sub>
<italic>x</italic>
</sub>Mn<sub>1/3</sub>O<sub>2</sub> and employed hollow&#x20;3D-birdnest-shaped MnO<sub>2</sub> to provide a large amount of free space, measurements revealed this Al-doped cathode material has an outstanding cyclic performance and capacity.&#x20;Accordingly, the right doping amount of Al<sup>3&#x2b;</sup> in LiNi<sub>1/3</sub>Co<sub>1/3</sub>Mn<sub>1/3</sub>O<sub>2</sub> can effectively ameliorate the stability of materials during charging/discharging and enhance the electrochemical performance.</p>
<p>To investigate the physical diffusion mechanics of electrons and Li-ions in the crystal lattice, the density functional theory (DFT) based on first-principles is widely employed [<xref ref-type="bibr" rid="B21">21</xref>&#x2013;<xref ref-type="bibr" rid="B23">23</xref>]. In this work, Al<sup>3&#x2b;</sup> as the doping ion has substituted for Li in LiNi<sub>1/3</sub>Co<sub>1/3</sub>Mn<sub>1/3</sub>O<sub>2</sub>, and Li<sub>1-<italic>x</italic>
</sub>Al<sub>
<italic>x</italic>
</sub>Ni<sub>1/3</sub>Co<sub>1/3</sub>Mn<sub>1/3</sub>O<sub>2</sub> had been theoretically simulated and calculated based on DFT by Materials Studio, Nanodcal and Matlab. The more details about the first-principles and DFT were introduced in my previous work [<xref ref-type="bibr" rid="B24">24</xref>, <xref ref-type="bibr" rid="B25">25</xref>]. The simulations and calculations indicate that Al-doped LiNi<sub>1/3</sub>Co<sub>1/3</sub>Mn<sub>1/3</sub>O<sub>2</sub> has a better electrochemical performance. Our findings can give some theoretical advice about studies of the power module for new electro-optical conversion devices and investigations on LIBs; methods we presented can shorten greatly the whole period of experiments or investigations and reduce the experimental cost&#x20;[<xref ref-type="bibr" rid="B26">26</xref>].</p>
</sec>
<sec id="s2">
<title>Methods and Model</title>
<p>Using the exchange-correlation potentials with the generalized gradient approximation [<xref ref-type="bibr" rid="B27">27</xref>] of the Perdew-Burke-Ernzerhof [<xref ref-type="bibr" rid="B28">28</xref>], calculations about the electronic conductivity of Al-doped LiNi<sub>1/3</sub>Co<sub>1/3</sub>Mn<sub>1/3</sub>O<sub>2</sub> were carried out by CAmbridge Serial Total Energy Package (CASTEP) of Materials Studio 8.0, which the plane wave pseudopotential method is used. The interaction between electrons and ions is described by the projector-augmented-wave method [<xref ref-type="bibr" rid="B29">29</xref>]. The ultrasoft pseudopotential is used to depict the Coulombic attraction potential between the inner layer electrons around the nucleus and those of the outer layer. All parameters involved in the&#x20;calculations, including a plane wave cutoff, k-points in the&#x20;Monkhorst-Pack scheme, the self-consistency energy tolerance, the maximum stress tolerance, the maximum displacement tolerance, and the average force on every atom, were set as same as those in our previous work [<xref ref-type="bibr" rid="B24">24</xref>, <xref ref-type="bibr" rid="B25">25</xref>]. The structure geometry should be optimized firstly before calculations.</p>
<p>
<xref ref-type="fig" rid="F1">Figure&#x20;1</xref> shows a 2&#x20;&#xd7; 2&#x20;&#xd7; 2 supercell model of Li<sub>1.0-<italic>x</italic>
</sub>Al<sub>
<italic>x</italic>
</sub>Ni<sub>1/3</sub>-Co<sub>1/3</sub>Mn<sub>1/3</sub>O<sub>2</sub> built by virtual mixed atom method. Li and Al occupy 3a, Ni<sub>1/3</sub>Co<sub>1/3</sub>Mn<sub>1/3</sub> occupies 3b, O occupies 6c. In Li<sub>1.0-<italic>x</italic>
</sub>Al<sub>
<italic>x</italic>
</sub>Ni<sub>1/3</sub>Co<sub>1/3</sub>Mn<sub>1/3</sub>O<sub>2</sub>, Li and Al are assumed as 1.0&#xa0;mol. If Al is <italic>x</italic> mol, and then Li is 1.0-<italic>x</italic> mol. The simulations and analyses of Li<sub>1.0-<italic>x</italic>
</sub>Al<sub>
<italic>x</italic>
</sub>Ni<sub>1/3</sub>Co<sub>1/3</sub>Mn<sub>1/3</sub>O<sub>2</sub> (<italic>x</italic>&#x20;&#x3d; 0.01, 0.02, 0.03, ......, 0.13) are studied as followed.</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>The 2 &#xd7; 2 &#xd7; 2 supercell of Li<sub>1.0-<italic>x</italic>
</sub>Al<sub>
<italic>x</italic>
</sub>Ni<sub>1/3</sub>Co<sub>1/3</sub>Mn<sub>1/3</sub>O<sub>2.</sub>
</p>
</caption>
<graphic xlink:href="fphy-09-731851-g001.tif"/>
</fig>
</sec>
<sec sec-type="results|discussion" id="s3">
<title>Results and Discussion</title>
<sec id="s3-1">
<title>Band Gap and Partial Density of States</title>
<p>The conductivity is determined by the band gap of materials, the wider band gap means the worst conductivity. The band gaps of Li<sub>1.0-<italic>x</italic>
</sub>Al<sub>
<italic>x</italic>
</sub>Ni<sub>1/3</sub>Co<sub>1/3</sub>Mn<sub>1/3</sub>O<sub>2</sub> were calculated when Al doping amount <italic>x</italic>&#x20;&#x3d; 0.01, 0.02, 0.03, ......, 0.13&#xa0;mol. All band gap values at every <italic>x</italic> mol are plotted in <xref ref-type="fig" rid="F2">Figure&#x20;2</xref>. After Al doping, the band structure of Al-doped LiNi<sub>1/3</sub>Co<sub>1/3</sub>Mn<sub>1/3</sub>O<sub>2</sub> can keep stable. The substitution of bigger Al atoms can widen Li-O layers which provides many tunnels to help electrons to immigrate more easily, thus, band gap values have decreased obviously, which means band gaps are narrower. According to <xref ref-type="fig" rid="F2">Figure&#x20;2</xref>, between <italic>x</italic>&#x20;&#x3d; 0.04&#xa0;mol and <italic>x</italic>&#x20;&#x3d; 0.05&#xa0;mol, the decreasing tendency pauses, and the error bars are conspicuous, which may&#x20;be caused by the slight disorder of Ni<sup>2&#x2b;</sup>/Li<sup>&#x2b;</sup> cation mixing. From&#x20;<italic>x</italic>&#x20;&#x3d; 0.06&#xa0;mol, the curve goes down continually. At <italic>x</italic>&#x20;&#x3d; 0.11&#xa0;mol, there is a minimum, and then the curve begins to&#x20;go&#x20;up.&#x20;If&#x20;only&#x20;considering the band gap, the conductivity of Li<sub>1.0-<italic>x</italic>
</sub>Al<sub>
<italic>x</italic>
</sub>Ni<sub>1/3</sub>Co<sub>1/3</sub>Mn<sub>1/3</sub>O<sub>2</sub> is best at <italic>x</italic>&#x20;&#x3d; 0.11&#xa0;mol. Factually, from <italic>x</italic>&#x20;&#x3d; 0.10&#xa0;mol to <italic>x</italic>&#x20;&#x3d; 0.12&#xa0;mol, the band gap remains lowly, and the conductivity keeps excellent.</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>The band gap of Li<sub>1.0-<italic>x</italic>
</sub>Al<sub>
<italic>x</italic>
</sub>Ni<sub>1/3</sub>Co<sub>1/3</sub>Mn<sub>1/3</sub>O<sub>2</sub> with error bars. The curve goes down generally, which indicates its conductivity is enhanced effectively after Al doping.</p>
</caption>
<graphic xlink:href="fphy-09-731851-g002.tif"/>
</fig>
<p>The peak of the partial density of state (PDOS) reflects electrons at this level, which directly demonstrates the conductivity. Herein, PDOS of Li<sub>1.0-<italic>x</italic>
</sub>Al<sub>
<italic>x</italic>
</sub>Ni<sub>1/3</sub>Co<sub>1/3</sub>Mn<sub>1/3</sub>O<sub>2</sub> was implemented. <xref ref-type="fig" rid="F3">Figure&#x20;3</xref> shows its PDOS when <italic>x</italic>&#x20;&#x3d; 0, 0.05, 0.10 and 0.13&#xa0;mol, respectively. The colored lines in <xref ref-type="fig" rid="F3">Figure&#x20;3</xref> represent the density of different orbital states. In <xref ref-type="fig" rid="F3">Figure&#x20;3A</xref>, the peak of PDOS is about 168&#xa0;eV, clearly describing the bonding and density of states near the Fermi level. When 0&#x20;&#x3c; <italic>x</italic>&#x20;&#x3c; 0.05&#xa0;mol, the peak of PDOS increases continually, and the conductivity has been enhanced substantially. In <xref ref-type="fig" rid="F3">Figure&#x20;3B</xref>, at <italic>x</italic>&#x20;&#x3d; 0.05&#xa0;mol, the peak goes up to 519&#xa0;eV which is several times higher than that of the pristine, and the conductivity has been enhanced dramatically. When <italic>x</italic>&#x20;&#x3d; 0.06&#x2013;0.09&#xa0;mol, the peak of PDOS increases slightly, the conductivity has been enhanced further with the increasing <italic>x.</italic> When <italic>x</italic>&#x20;&#x3d; 0.10&#xa0;mol (shown in <xref ref-type="fig" rid="F3">Figure&#x20;3C</xref>), the peak of PDOS is a maximum around 644&#xa0;eV, which shows the best conductivity. When <italic>x</italic>&#x20;&#x3e; 0.10&#xa0;mol, the peak goes down quickly. At <italic>x</italic>&#x20;&#x3d; 0.13&#xa0;mol (shown in <xref ref-type="fig" rid="F3">Figure&#x20;3D</xref>), the peak goes closely that of the pristine, which indicates too much Al-doping amount will not be useful to the high-performance of conductivity. Considering the results of PDOS, the right Al-doping amount should be controlled within <italic>x</italic>&#x20;&#x3d; 0.06&#x2013;0.10&#xa0;mol.</p>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption>
<p>PDOS curves of Li<sub>1.0-<italic>x</italic>
</sub>Al<sub>
<italic>x</italic>
</sub>Ni<sub>1/3</sub>Co<sub>1/3</sub>Mn<sub>1/3</sub>O<sub>2</sub>. <bold>(A)</bold> The PDOS peak of the pristine near the Fermi level is about 168&#xa0;eV. <bold>(B)</bold> When <italic>x</italic>&#x20;&#x3d; 0.05 mol, the PDOS peak raises around 519&#xa0;eV, which is much higher than that of the pristine. <bold>(C)</bold> When <italic>x</italic>&#x20;&#x3d; 0.10 mol, the PDOS peak is high up to 644&#xa0;eV. The bigger Al atoms make Li-O layers wider, and abundant tunnels are provided, which electrons can cross over freely, and then the conductivity is strengthened strongly. <bold>(D)</bold> When <italic>x</italic>&#x20;&#x3d; 0.13 mol, the PDOS peak is down to 170&#xa0;eV, which is close to the PDOS peak of LiNi<sub>1/3</sub>Co<sub>1/3</sub>Mn<sub>1/3</sub>O<sub>2</sub>.</p>
</caption>
<graphic xlink:href="fphy-09-731851-g003.tif"/>
</fig>
</sec>
<sec id="s3-2">
<title>Cell Volume and Lithiation Formation Energy</title>
<p>For rechargeable power sources, good cycling and stable structure&#x20;are very important. At different <italic>x</italic> mol, volumes of Li<sub>1.0-<italic>x</italic>
</sub>Al<sub>
<italic>x</italic>
</sub>Ni<sub>1/3</sub>Co<sub>1/3</sub>Mn<sub>1/3</sub>O<sub>2</sub> were achieved by Material Studio. When <italic>x</italic>&#x20;&#x3c; 0.12&#xa0;mol, the volumes can keep stable basically, which is consistent to the band gap. At <italic>x &#x3d;</italic> 0.04&#xa0;mol, the slight disorder of Ni<sup>2&#x2b;</sup>/Li<sup>&#x2b;</sup> cation mixing perhaps lead to a slight volume expanding. When <italic>x</italic>&#x20;&#x3e; 0.12&#xa0;mol, the volume has expanded distinctly, and the structure is instable which is caused by structure transition from layer-to-spinel. In other word, when <italic>x</italic>&#x20;&#x3c; 0.12&#xa0;mol, Al doping can stabilize the layered crystal structure and keep good cycling performances.</p>
<p>In general, the difficulty of the lithiation/delithiation process can be reflected by the formation energy. If the formation energy of metal oxide is low, atoms can be separated easily from the crystal lattice. The equation of lithiation formation energy <inline-formula id="inf1">
<mml:math id="m1">
<mml:mi mathvariant="italic">E</mml:mi>
</mml:math>
</inline-formula> is the same as referred in my previous work [<xref ref-type="bibr" rid="B25">25</xref>]. <xref ref-type="fig" rid="F4">Figure&#x20;4</xref> plots the&#x20;formation energy <italic>E</italic> of Li<sub>1.0-<italic>x</italic>
</sub>Al<sub>
<italic>x</italic>
</sub>Ni<sub>1/3</sub>Co<sub>1/3</sub>Mn<sub>1/3</sub>O<sub>2</sub> varying with different <italic>x</italic>. According to <xref ref-type="fig" rid="F4">Figure&#x20;4</xref>, <inline-formula id="inf2">
<mml:math id="m2">
<mml:mi mathvariant="italic">E</mml:mi>
</mml:math>
</inline-formula> goes down straight when <italic>x</italic>&#x20;&#x3c; 0.12&#xa0;mol, and there is minimum at <italic>x</italic>&#x20;&#x3d; 0.11&#xa0;mol which the rate capability of material is best; when <italic>x</italic>&#x20;&#x3e; 0.12&#xa0;mol, the curve increases gradually, electrons and Li-ions will be apart difficultly from the lattice crystal. Hence, analyses of <xref ref-type="fig" rid="F4">Figure&#x20;4</xref> states explicitly that too much Al doping will be harmful to the lithiation/delithiation process, the proper Al doping amount is within <italic>x</italic>&#x20;&#x3c; 0.11&#xa0;mol.</p>
<fig id="F4" position="float">
<label>FIGURE 4</label>
<caption>
<p>Diagram about the relationship between <italic>E</italic> and <italic>x</italic>. The curve decreases until <italic>x</italic>&#x20;&#x3c; 0.12 mol, which demonstrates the lithiation/delithiation process can benefit from the appropriate Al doping amount. From <italic>x</italic>&#x20;&#x3d; 0.11 mol, <inline-formula id="inf3">
<mml:math id="m3">
<mml:mi mathvariant="italic">E</mml:mi>
</mml:math>
</inline-formula> begins to get bigger slightly. The small error bars mean our high-accuracy calculations.</p>
</caption>
<graphic xlink:href="fphy-09-731851-g004.tif"/>
</fig>
</sec>
<sec id="s3-3">
<title>Electron Density Difference</title>
<p>To investigate electrons&#x2019; distribution near local atoms, we simulated the electron density difference of Li<sub>1.0-<italic>x</italic>
</sub>Al<sub>
<italic>x</italic>
</sub>Ni<sub>1/3</sub>Co<sub>1/3</sub>Mn<sub>1/3</sub>O<sub>2</sub>. <xref ref-type="fig" rid="F5">Figure&#x20;5</xref> shows the simulations at <italic>x</italic>&#x20;&#x3d; 0, 0.06, 0.10, and 0.11&#xa0;mol. Some blocks with heavy colors are reflections of atoms. In comparison with that of the pristine (shown in <xref ref-type="fig" rid="F5">Figure&#x20;5A</xref>), when 0&#x20;<bold>&#x3c;</bold> <italic>x</italic>&#x20;&#x3c; 0.06&#xa0;mol, the coverage and color of the electron cloud have changed a little, which means electrons near local atoms have not increased much; when <italic>x</italic>&#x20;&#x3d; 0.06&#xa0;mol (shown in <xref ref-type="fig" rid="F5">Figure&#x20;5B</xref>), its coverage has distinguished from the before, but its color has still remained; when <italic>x</italic>&#x20;&#x3e; 0.08&#xa0;mol, its color has turned into orange which means electrons have increased enormously, and its coverage has expanded further; especially, at <italic>x</italic>&#x20;&#x3d; 0.10&#xa0;mol (shown in <xref ref-type="fig" rid="F5">Figure&#x20;5C</xref>), its color is still orange, and its coverage is biggest, which exhibits that there are abundant of free electrons around atoms, and Li<sub>0.9</sub>Al<sub>0.1</sub>Ni<sub>1/3</sub>Co<sub>1/3</sub>Mn<sub>1/3</sub>O<sub>2</sub> has superior conductivity; when <italic>x</italic>&#x20;&#x3d; 0.11&#xa0;mol (shown in <xref ref-type="fig" rid="F5">Figure&#x20;5D</xref>), its coverage has shrunk greatly, free electrons near local atoms have decreased significantly, and its conductivity has become poor. Therefore, the appropriate doping amount is <italic>x</italic>&#x20;&#x3d; 0.08&#x2013;0.10&#xa0;mol which Al doping can notably boost the conductivity.</p>
<fig id="F5" position="float">
<label>FIGURE 5</label>
<caption>
<p>Electron density difference of Li<sub>1.0-<italic>x</italic>
</sub>Al<sub>
<italic>x</italic>
</sub>Ni<sub>1/3</sub>Co<sub>1/3</sub>Mn<sub>1/3</sub>O<sub>2</sub>. <bold>(A)</bold> The electron density difference image of the pristine is shown. <bold>(B)</bold> When <italic>x</italic>&#x20;&#x3d; 0.06 mol, the color has not changed, and the coverage of electron cloud has expanded significantly, which suggests the conductivity has been enhanced due to more free electrons around atoms. <bold>(C)</bold> When <italic>x</italic>&#x20;&#x3d; 0.10 mol, the color of electron cloud gets orange, and the electron cloud&#x2019;s coverage is biggest, which indicates its conductivity is promoted extremely. <bold>(D)</bold> When <italic>x</italic>&#x20;&#x3d; 0.11 mol, its color has not changed, and its coverage has shrunk&#x20;much.</p>
</caption>
<graphic xlink:href="fphy-09-731851-g005.tif"/>
</fig>
</sec>
<sec id="s3-4">
<title>Potential Energy of Electrons</title>
<p>To study the electrons&#x2019; transfer and rate capability of LiNi<sub>1/3</sub>Co<sub>1/3</sub>-Mn<sub>1/3</sub>O<sub>2</sub> after Al doping, their electrons&#x2019; potential energy had been mapped. If electrons in a potential well can obtain some external energy, they can transport freely from the potential well. <xref ref-type="fig" rid="F6">Figure&#x20;6</xref> shows the 3D potential energy map of Li<sub>0.9</sub>Al<sub>0.1</sub>Ni<sub>1/3</sub>Co<sub>1/3</sub>Mn<sub>1/3</sub>O<sub>2</sub>. From <xref ref-type="fig" rid="F6">Figure&#x20;6</xref>, the potential barrier and well are regularly in turn, which indicates layered Li<sub>0.9</sub>Al<sub>0.1</sub>Ni<sub>1/3</sub>Co<sub>1/3</sub>Mn<sub>1/3</sub>O<sub>2</sub> has not occurred the phase transition during the charging/discharging process. The&#x20;right Al-doping amount can remain its layered structure invariantly.</p>
<fig id="F6" position="float">
<label>FIGURE 6</label>
<caption>
<p>3D potential energy profile of Li<sub>0.9</sub>Al<sub>0.1</sub>Ni<sub>1/3</sub>Co<sub>1/3</sub>Mn<sub>1/3</sub>O<sub>2</sub>. The different colors correspond to the different potential energy. When <italic>x</italic>&#x20;&#x3c; 0.11 mol, all 3D potential energy maps show that the potential barrier is getting lower after Al doping.</p>
</caption>
<graphic xlink:href="fphy-09-731851-g006.tif"/>
</fig>
<p>To analyze the transfer of electrons in potential well after Al doping, diffusion paths were implemented in 2D potential energy image. <xref ref-type="fig" rid="F7">Figure&#x20;7</xref> shows the electrons&#x2019; diffusion paths of Li<sub>0.9</sub>Al<sub>0.1</sub>Ni<sub>1/3</sub>Co<sub>1/3</sub>Mn<sub>1/3</sub>O<sub>2</sub>. Electrons will immigrate freely along the route marked blue &#x201c;&#x2a;&#x201d;, where is the minimum potential energy and numerous channels to diffuse are offered. And the energy barrier of Li-ion insertion/extraction is reduced in the crystal lattice. Consequently, electrons and Li-ions can be removed and transfer to other places with lower energy barrier. In <xref ref-type="fig" rid="F7">Figure&#x20;7</xref>, the potential energy of Li<sub>0.9</sub>Al<sub>0.1</sub>Ni<sub>1/3</sub>Co<sub>1/3</sub>Mn<sub>1/3</sub>O<sub>2</sub> is from around 80 to 0&#xa0;eV. When <italic>x</italic>&#x20;&#x3c; 0.11&#xa0;mol, the minimum potential energy of Li<sub>1.0-<italic>x</italic>
</sub>Al<sub>
<italic>x</italic>
</sub>Ni<sub>1/3</sub>Co<sub>1/3</sub>Mn<sub>1/3</sub>O<sub>2</sub> decreases with rising <italic>x</italic>, and electrons can be apart from the potential well more facilely. Thus, this new material has excellent rate capacity and electrochemical performances when <italic>x</italic>&#x20;&#x3c; 0.11&#xa0;mol.</p>
<fig id="F7" position="float">
<label>FIGURE 7</label>
<caption>
<p>2D potential energy plot of Li<sub>0.9</sub>Al<sub>0.1</sub>Ni<sub>1/3</sub>Co<sub>1/3</sub>Mn<sub>1/3</sub>O<sub>2</sub>. Blue marks &#x201c;&#x2a;&#x201d; represent the paths of electrons, and each marked route is not the&#x20;same.</p>
</caption>
<graphic xlink:href="fphy-09-731851-g007.tif"/>
</fig>
</sec>
</sec>
<sec sec-type="conclusion" id="s4">
<title>Conclusion</title>
<p>The physical mechanism of enhanced electrochemical properties for Al-doped LiNi<sub>1/3</sub>Co<sub>1/3</sub>Mn<sub>1/3</sub>O<sub>2</sub> was investigated by DFT. After Al doping, Li<sub>1.0-<italic>x</italic>
</sub>Al<sub>
<italic>x</italic>
</sub>Ni<sub>1/3</sub>Co<sub>1/3</sub>Mn<sub>1/3</sub>O<sub>2</sub> has a layered structural stability when <italic>x</italic>&#x20;&#x3c; 0.12&#xa0;mol; the band gap has a minimum at <italic>x</italic>&#x20;&#x3d; 0.11&#xa0;mol, and the conductivity is best; the peak of PDOS remains highly within <italic>x</italic>&#x20;&#x3d; 0.06&#x2013;0.10&#xa0;mol, which electrons are multiplied than the pristine, and its conductivity is enhanced dramatically; the lithiation formation energy <italic>E</italic> is lowest at <italic>x</italic>&#x20;&#x3d; 0.11&#xa0;mol, and electrons and Li-ions can be separated easily within <italic>x</italic>&#x20;&#x3c; 0.12&#xa0;mol; based on the simulations of the electron density difference, Li<sub>1.0-<italic>x</italic>
</sub>Al<sub>
<italic>x</italic>
</sub>Ni<sub>1/3</sub>Co<sub>1/3</sub>Mn<sub>1/3</sub>O<sub>2</sub> has a better conductivity when <italic>x</italic>&#x20;&#x3d; 0.08 &#x2013; 0.10&#xa0;mol; and electrons&#x2019; potential&#x20;barrier is decreasing with rising <italic>x</italic>, electrons and Li-ions can be removed and diffused quickly, which means its rate capability is improved effectively. Considering all above calculations and analyses, the electrochemical performance of&#x20;Li<sub>1.0-<italic>x</italic>
</sub>Al<sub>
<italic>x</italic>
</sub>Ni<sub>1/3</sub>Co<sub>1/3</sub>Mn<sub>1/3</sub>O<sub>2</sub> is best at <italic>x</italic>&#x20;&#x3d; 0.10&#xa0;mol. Up to&#x20;now, it is few reported about the experimental investigations on&#x20;Li<sub>1.0-<italic>x</italic>
</sub>Al<sub>
<italic>x</italic>
</sub>Ni<sub>1/3</sub>Co<sub>1/3</sub>Mn<sub>1/3</sub>O<sub>2</sub>. We believe that samples of Li<sub>1.0-<italic>x</italic>
</sub>Al<sub>
<italic>x</italic>
</sub>Ni<sub>1/3</sub>Co<sub>1/3</sub>Mn<sub>1/3</sub>O<sub>2</sub> can be prepared experimentally by traditional syntheses, and suggest that its superior electrochemical performances of Li<sub>0.9</sub>Al<sub>0.1</sub>Ni<sub>1/3</sub>Co<sub>1/3</sub>Mn<sub>1/3</sub>O<sub>2</sub> will be verified experimentally by physical and chemical tests. Moreover, the electrochemical performance of Li<sub>1.0-<italic>x</italic>
</sub>Al<sub>
<italic>x</italic>
</sub>Ni<sub>1/3</sub>Co<sub>1/3</sub>Mn<sub>1/3</sub>O<sub>2</sub> can be&#x20;improved further combining with other modifications. This&#x20;study provides an insight to understand the physical improvement mechanism of Al-doped LiNi<sub>1/3</sub>Co<sub>1/3</sub>Mn<sub>1/3</sub>O<sub>2</sub>. Our results and theoretical advice based on DFT could be important for the investigations of Li<sub>1.0-<italic>x</italic>
</sub>Al<sub>
<italic>x</italic>
</sub>Ni<sub>1/3</sub>Co<sub>1/3</sub>Mn<sub>1/3</sub>O<sub>2</sub>, doping materials studies about the power sources of new electro-optical conversion devices, and applications in LIBs.&#x20;Our simulations and calculations have concerned only on the conductivity, cycling and rate capability. Certainly, Al-doped LiNi<sub>1/3</sub>Co<sub>1/3</sub>Mn<sub>1/3</sub>O<sub>2</sub> can be further improved its energy density and reversible charge capacity by structural optimization, coating, and composite&#x20;etc.</p>
</sec>
</body>
<back>
<sec id="s5">
<title>Data Availability Statement</title>
<p>The original contribution presented in the study are included in the article/<xref ref-type="sec" rid="s9">Supplementary Material</xref>, further inquiries can be directed to the corresponding author.</p>
</sec>
<sec id="s6">
<title>Author Contributions</title>
<p>YG designed models, analyzed results, and wrote the manuscript. WY carried out calculations. XD gave some proposals.</p>
</sec>
<sec id="s7">
<title>Funding</title>
<p>This research was funded by the Science and Technology Project Foundation of Zhongshan City of Guangdong Province of China (no. 2018B1127), the Educational Science and Technology Planning in Guangdong Province (no. 2018GXJK240), the Investigations of Lithium-ion Batteries and Display Modules for Mobile Machine Equipment (no. 421P06 and 421P15), the Characteristic Innovation Project of Guangdong Province, the National Natural Science Foundation of China (no. 11775047), the union project of National Natural Science Foundation of China and Guangdong Province (no. U1601214), Science and Technology Program of Guangzhou (no. 2019050001), the Scientific and Technological Plan of Guangdong Province (no. 2018B050502010).</p>
</sec>
<sec sec-type="COI-statement" id="s8">
<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 id="s9" sec-type="disclaimer">
<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="s10">
<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/fphy.2021.731851/full#supplementary-material">https://www.frontiersin.org/articles/10.3389/fphy.2021.731851/full&#x23;supplementary-material</ext-link>
</p>
<supplementary-material xlink:href="DataSheet1.xls" id="SM1" mimetype="application/xls" xmlns:xlink="http://www.w3.org/1999/xlink"/>
</sec>
<ref-list>
<title>References</title>
<ref id="B1">
<label>1.</label>
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Lee</surname>
<given-names>GH</given-names>
</name>
<name>
<surname>Wu</surname>
<given-names>JP</given-names>
</name>
<name>
<surname>Kim</surname>
<given-names>D</given-names>
</name>
<name>
<surname>Cho</surname>
<given-names>K</given-names>
</name>
<name>
<surname>Cho</surname>
<given-names>M</given-names>
</name>
<name>
<surname>Yang</surname>
<given-names>WL</given-names>
</name>
</person-group>. <article-title>Reversible Anionic Redox Activities in Conventional LiNi<sub>1/3</sub>Co<sub>1/3</sub>Mn<sub>1/3</sub>O<sub>2</sub> Cathodes</article-title>. <source>Angewandte Chemie</source> (<year>2020</year>) <volume>132</volume>:<fpage>8759</fpage>&#x2013;<lpage>66</lpage>. <pub-id pub-id-type="doi">10.1002/anie.202001349</pub-id> </citation>
</ref>
<ref id="B2">
<label>2.</label>
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Zou</surname>
<given-names>BK</given-names>
</name>
<name>
<surname>Ding</surname>
<given-names>CX</given-names>
</name>
<name>
<surname>Chen</surname>
<given-names>CH</given-names>
</name>
</person-group>. <article-title>Research Progress in Ternary Cathode Materials Li ( Ni, Co, Mn) O<sub>2</sub> for Lithium Ion Batteries</article-title>. <source>Scientia Sinica: Chim</source> (<year>2014</year>) <volume>44</volume>(<issue>7</issue>):<fpage>1104</fpage>&#x2013;<lpage>15</lpage>. <pub-id pub-id-type="doi">10.1360/N032014-00019</pub-id> </citation>
</ref>
<ref id="B3">
<label>3.</label>
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Refly</surname>
<given-names>S</given-names>
</name>
<name>
<surname>Floweri</surname>
<given-names>O</given-names>
</name>
<name>
<surname>Mayangsari</surname>
<given-names>TR</given-names>
</name>
<name>
<surname>Sumboja</surname>
<given-names>A</given-names>
</name>
<name>
<surname>Santosa</surname>
<given-names>SP</given-names>
</name>
<name>
<surname>Ogi</surname>
<given-names>T</given-names>
</name>
</person-group>. <article-title>Regeneration of LiNi<sub>1/3</sub>Co<sub>1/3</sub>Mn<sub>1/3</sub>O<sub>2</sub> Cathode Active Materials from End-Of-Life Lithium-Ion Batteries through Ascorbic Acid Leaching and Oxalic Acid Coprecipitation Processes</article-title>. <source>ACS Sustainable Chem Eng</source> (<year>2020</year>) <volume>8</volume>(<issue>43</issue>):<fpage>16104</fpage>&#x2013;<lpage>14</lpage>. <pub-id pub-id-type="doi">10.1021/acssuschemeng.0c01006</pub-id> </citation>
</ref>
<ref id="B4">
<label>4.</label>
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Zhu</surname>
<given-names>LM</given-names>
</name>
<name>
<surname>Bao</surname>
<given-names>CG</given-names>
</name>
<name>
<surname>Xie</surname>
<given-names>LL</given-names>
</name>
<name>
<surname>Yang</surname>
<given-names>XL</given-names>
</name>
<name>
<surname>Cao</surname>
<given-names>XY</given-names>
</name>
</person-group>. <article-title>Review of Synthesis and Structural Optimization of LiNi<sub>1/3</sub>Co<sub>1/3</sub>Mn<sub>1/3</sub>O<sub>2</sub> Cathode Materials for Lithium-Ion Batteries Applications[J]</article-title>. <source>J&#x20;Alloys Compounds</source> (<year>2020</year>) <volume>831</volume>:<fpage>154864</fpage>&#x2013;<lpage>80</lpage>. <pub-id pub-id-type="doi">10.1016/j.jallcom.2020.154864</pub-id> </citation>
</ref>
<ref id="B5">
<label>5.</label>
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Nguyen</surname>
<given-names>VH</given-names>
</name>
<name>
<surname>Ngo</surname>
<given-names>MD</given-names>
</name>
<name>
<surname>Kim</surname>
<given-names>YH</given-names>
</name>
</person-group>. <article-title>Effect of Soybean Oil as a Carbon Source on the Electrochemical Property of LiNi<sub>1/3</sub>Co<sub>1/3</sub>Mn<sub>1/3</sub>O<sub>2</sub> Cathode Material for Lithium Ion Battery</article-title>. <source>Carbon Lett</source> (<year>2020</year>) <volume>30</volume>:<fpage>621</fpage>&#x2013;<lpage>6</lpage>. <pub-id pub-id-type="doi">10.1007/s42823-020-00133-1</pub-id> </citation>
</ref>
<ref id="B6">
<label>6.</label>
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Zheng</surname>
<given-names>JL</given-names>
</name>
<name>
<surname>Zhou</surname>
<given-names>W</given-names>
</name>
<name>
<surname>Ma</surname>
<given-names>YR</given-names>
</name>
<name>
<surname>Jin</surname>
<given-names>H</given-names>
</name>
<name>
<surname>Guo</surname>
<given-names>L</given-names>
</name>
</person-group>. <article-title>Combustion Synthesis of LiNi<sub>1/3</sub>Co<sub>1/3</sub>Mn<sub>1/3</sub>O<sub>2</sub> Powders with Enhanced Electrochemical Performance in LIBs</article-title>. <source>J&#x20;Alloys Compounds</source> (<year>2015</year>) <volume>635</volume>:<fpage>207</fpage>&#x2013;<lpage>12</lpage>. <pub-id pub-id-type="doi">10.1016/j.jallcom.2015.02.114</pub-id> </citation>
</ref>
<ref id="B7">
<label>7.</label>
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>David</surname>
<given-names>P</given-names>
</name>
<name>
<surname>J&#xe9;r&#xe9;mie</surname>
<given-names>S</given-names>
</name>
<name>
<surname>Colin</surname>
<given-names>JF</given-names>
</name>
<name>
<surname>Boulineau</surname>
<given-names>A</given-names>
</name>
<name>
<surname>Fabre</surname>
<given-names>F</given-names>
</name>
<name>
<surname>Bourbon</surname>
<given-names>C</given-names>
</name>
</person-group>. <article-title>Submicronic LiNi<sub>1/3</sub>Co<sub>1/3</sub>Mn<sub>1/3</sub>O<sub>2</sub> Synthesized by Co-precipitation for Lithium Ion Batteries-Tailoring a Classic Process for Enhanced Energy and Power Density</article-title>. <source>J&#x20;Power Sourc</source> (<year>2018</year>) <volume>396</volume>:<fpage>527</fpage>&#x2013;<lpage>32</lpage>. <pub-id pub-id-type="doi">10.1016/j.jpowsour.2018.06.075</pub-id> </citation>
</ref>
<ref id="B8">
<label>8.</label>
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Song</surname>
<given-names>YJ</given-names>
</name>
<name>
<surname>Wang</surname>
<given-names>MR</given-names>
</name>
<name>
<surname>Li</surname>
<given-names>J</given-names>
</name>
<name>
<surname>Cui</surname>
<given-names>HT</given-names>
</name>
<name>
<surname>Su</surname>
<given-names>HJ</given-names>
</name>
<name>
<surname>Liu</surname>
<given-names>YY</given-names>
</name>
</person-group>. <article-title>Controllable Synthesis of LiNi<sub>1/3</sub>Co<sub>1/3</sub>Mn<sub>1/3</sub>O<sub>2</sub> Electrode Material via a High Shear Mixer-Assisted Precipitation Process</article-title>. <source>Chem Eng J</source> (<year>2021</year>) <volume>5</volume>:<fpage>129281</fpage>&#x2013;<lpage>91</lpage>. <pub-id pub-id-type="doi">10.1016/j.cej.2021.129281</pub-id> </citation>
</ref>
<ref id="B9">
<label>9.</label>
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Aida</surname>
<given-names>T</given-names>
</name>
<name>
<surname>Toma TKanada</surname>
<given-names>S</given-names>
</name>
</person-group>. <article-title>A Comparative Study of Particle Size and Hollowness of LiNi<sub>1/3</sub>Co<sub>1/3</sub>Mn<sub>1/3</sub>O<sub>2</sub> Cathode Materials for High-Power Li-Ion Batteries: Effects on Electrochemical Performance</article-title>. <source>J&#x20;Solid State Electrochemistry</source> (<year>2020</year>) <volume>24</volume>:<fpage>1415</fpage>&#x2013;<lpage>25</lpage>. <pub-id pub-id-type="doi">10.1007/s10008-020-04640-z</pub-id> </citation>
</ref>
<ref id="B10">
<label>10.</label>
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Liu</surname>
<given-names>WJ</given-names>
</name>
<name>
<surname>Sun</surname>
<given-names>XZ</given-names>
</name>
<name>
<surname>Zhang</surname>
<given-names>X</given-names>
</name>
<name>
<surname>Li</surname>
<given-names>C</given-names>
</name>
<name>
<surname>Wang</surname>
<given-names>K</given-names>
</name>
<name>
<surname>Wen</surname>
<given-names>W</given-names>
</name>
</person-group>. <article-title>Structural Evolution of Mesoporous graphene/LiNi<sub>1/3</sub>Co<sub>1/3</sub>Mn<sub>1/3</sub>O<sub>2</sub> Composite Cathode for Li-Ion Battery</article-title>. <source>Rare Met</source> (<year>2021</year>) <volume>40</volume>:<fpage>521</fpage>&#x2013;<lpage>8</lpage>. <pub-id pub-id-type="doi">10.1007/s12598-020-01406-4</pub-id> </citation>
</ref>
<ref id="B11">
<label>11.</label>
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Zhu</surname>
<given-names>LM</given-names>
</name>
<name>
<surname>Xie</surname>
<given-names>LL</given-names>
</name>
<name>
<surname>Bao</surname>
<given-names>CG</given-names>
</name>
<name>
<surname>Yan</surname>
<given-names>XY</given-names>
</name>
<name>
<surname>Cao</surname>
<given-names>XY</given-names>
</name>
</person-group>. <article-title>LiNi<sub>1/3</sub>Co<sub>1/3</sub>Mn<sub>1/3</sub>O<sub>2</sub> Polypyrrole Composites as Cathode Materials for High-Performance Lithium-Ion Batteries</article-title>. <source>Int J&#x20;Energ Res</source> (<year>2020</year>)(<issue>2</issue>) <fpage>44</fpage>. <pub-id pub-id-type="doi">10.1002/er.4916</pub-id> </citation>
</ref>
<ref id="B12">
<label>12.</label>
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Chen</surname>
<given-names>ZL</given-names>
</name>
<name>
<surname>Zhang</surname>
<given-names>ZB</given-names>
</name>
<name>
<surname>Liu</surname>
<given-names>P</given-names>
</name>
<name>
<surname>Wang</surname>
<given-names>SF</given-names>
</name>
<name>
<surname>Zhang</surname>
<given-names>WH</given-names>
</name>
<name>
<surname>Chen</surname>
<given-names>DJ</given-names>
</name>
</person-group>. <article-title>Facile Preparation of Carbon- LiNi<sub>1/3</sub>Co<sub>1/3</sub>Mn<sub>1/3</sub>O<sub>2</sub> with Enhanced Stability and Rate Capability for Lithium-Ion Batteries</article-title>. <source>J&#x20;Alloys Compounds</source> (<year>2019</year>) <volume>780</volume>:<fpage>643</fpage>&#x2013;<lpage>52</lpage>. <pub-id pub-id-type="doi">10.1016/j.jallcom.2018.11.387</pub-id> </citation>
</ref>
<ref id="B13">
<label>13.</label>
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Li</surname>
<given-names>BY</given-names>
</name>
<name>
<surname>Li</surname>
<given-names>GS</given-names>
</name>
<name>
<surname>Zhang</surname>
<given-names>D</given-names>
</name>
<name>
<surname>Fan</surname>
<given-names>JM</given-names>
</name>
<name>
<surname>Chen</surname>
<given-names>DD</given-names>
</name>
<name>
<surname>Liu</surname>
<given-names>XQ</given-names>
</name>
</person-group>. <article-title>Zeolitic Imidazolate Framework-8 Modified LiNi<sub>1/3</sub>Co<sub>1/3</sub>Mn<sub>1/3</sub>O<sub>2</sub>: A Durable Cathode Showing Excellent Electrochemical Performances in Li-Ion Batteries</article-title>. <source>Electrochimica Acta</source> (<year>2020</year>) <volume>336</volume>:<fpage>135724</fpage>&#x2013;<lpage>33</lpage>. <pub-id pub-id-type="doi">10.1016/j.electacta.2020.135724</pub-id> </citation>
</ref>
<ref id="B14">
<label>14.</label>
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Shao</surname>
<given-names>ZC</given-names>
</name>
<name>
<surname>Guo</surname>
<given-names>J</given-names>
</name>
<name>
<surname>Zhao</surname>
<given-names>Z</given-names>
</name>
<name>
<surname>Xia</surname>
<given-names>J</given-names>
</name>
<name>
<surname>Ma</surname>
<given-names>M</given-names>
</name>
<name>
<surname>Zhang</surname>
<given-names>Y</given-names>
</name>
</person-group>. <article-title>Preparation and Properties of Al<sub>2</sub>O<sub>3</sub>-Doping LiNi<sub>1/3</sub>Co<sub>1/3</sub>Mn<sub>1/3</sub>O<sub>2</sub> Cathode Materials</article-title>. <source>Mater Manufacturing Process</source> (<year>2016</year>) <volume>31</volume>(<issue>8</issue>):<fpage>1004</fpage>&#x2013;<lpage>8</lpage>. <pub-id pub-id-type="doi">10.1080/10426914.2015.1117618</pub-id> </citation>
</ref>
<ref id="B15">
<label>15.</label>
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Zhu</surname>
<given-names>JP</given-names>
</name>
<name>
<surname>Yan</surname>
<given-names>JW</given-names>
</name>
<name>
<surname>Zhang</surname>
<given-names>L</given-names>
</name>
</person-group>. <article-title>High Specific Capacity Mg-Doping LiNi<sub>1/3</sub>Co<sub>1/3</sub>-Mn<sub>1/3</sub>O<sub>2</sub> Cathode Materials Synthesized by a Simple Stepwise Co-precipitation Method</article-title>. <source>Micro Nano Lett</source> (<year>2018</year>) <volume>14</volume>(<issue>2</issue>). <pub-id pub-id-type="doi">10.1049/mnl.2018.5011</pub-id> </citation>
</ref>
<ref id="B16">
<label>16.</label>
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Li</surname>
<given-names>YH</given-names>
</name>
<name>
<surname>Liu</surname>
<given-names>JY</given-names>
</name>
<name>
<surname>Lei</surname>
<given-names>YK</given-names>
</name>
<name>
<surname>Lai</surname>
<given-names>CY</given-names>
</name>
<name>
<surname>Xu</surname>
<given-names>QJ</given-names>
</name>
</person-group>. <article-title>Enhanced Electrochemical Performance of Na-Doped Cathode Material LiNi<sub>1/3</sub>Co<sub>1/3</sub>Mn<sub>1/3</sub>O<sub>2</sub> for Lithium-Ion Batteries</article-title>. <source>J&#x20;Mater Sci</source> (<year>2017</year>) <volume>52</volume>:<fpage>13596</fpage>&#x2013;<lpage>605</lpage>. <pub-id pub-id-type="doi">10.1007/s10853-017-1449-z</pub-id> </citation>
</ref>
<ref id="B17">
<label>17.</label>
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Kim</surname>
<given-names>S</given-names>
</name>
<name>
<surname>Park</surname>
<given-names>S</given-names>
</name>
<name>
<surname>Jo</surname>
<given-names>M</given-names>
</name>
<name>
<surname>Beak</surname>
<given-names>M</given-names>
</name>
<name>
<surname>Park</surname>
<given-names>J</given-names>
</name>
<name>
<surname>Jeong</surname>
<given-names>G</given-names>
</name>
</person-group>. <article-title>Electrochemical Effects of&#x20;Residual Al in the Resynthesis of Li[Ni<sub>1/3</sub>Mn<sub>1/3</sub>Co<sub>1/3</sub>]O<sub>2</sub> Cathode Materials</article-title>.&#x20;<source>J&#x20;Alloys Compounds</source> (<year>2020</year>) <volume>857</volume>(<issue>9</issue>):<fpage>157581</fpage>. <pub-id pub-id-type="doi">10.1016/j.jallcom.2020.157581</pub-id> </citation>
</ref>
<ref id="B18">
<label>18.</label>
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Zhang</surname>
<given-names>ZH</given-names>
</name>
<name>
<surname>Yu</surname>
<given-names>M</given-names>
</name>
<name>
<surname>Yang</surname>
<given-names>B</given-names>
</name>
<name>
<surname>Jin</surname>
<given-names>CZ</given-names>
</name>
<name>
<surname>Guo</surname>
<given-names>GH</given-names>
</name>
<name>
<surname>Qiu</surname>
<given-names>JH</given-names>
</name>
</person-group>. <article-title>Regeneration of Al-Doped LiNi<sub>1/3</sub>Co<sub>1/3</sub>Mn<sub>1/3</sub>O<sub>2</sub> Cathode Material via a Sustainable Method from Spent Li-Ion Batteries</article-title>. <source>Mater Res Bull</source> (<year>2020</year>) <volume>126</volume>:<fpage>110855</fpage>&#x2013;<lpage>61</lpage>. <pub-id pub-id-type="doi">10.1016/j.materresbull.2020.110855</pub-id> </citation>
</ref>
<ref id="B19">
<label>19.</label>
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Li</surname>
<given-names>ZY</given-names>
</name>
</person-group>. <article-title>The Improvement for the Electrochemical Performances of LiNi<sub>1/3</sub>Co<sub>1/3</sub>-Mn<sub>1/3</sub>O<sub>2</sub> Cathode Materials for Lithium-Ion Batteries by Both the Al-Doping and an Advanced Synthetic Method</article-title>. <source>Int J&#x20;Electrochem Sci</source> (<year>2019</year>) <volume>14</volume>(<issue>4</issue>):<fpage>3524</fpage>&#x2013;<lpage>34</lpage>. <pub-id pub-id-type="doi">10.20964/2019.04.57</pub-id> </citation>
</ref>
<ref id="B20">
<label>20.</label>
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Zhu</surname>
<given-names>JP</given-names>
</name>
<name>
<surname>Yan</surname>
<given-names>JW</given-names>
</name>
<name>
<surname>Chen</surname>
<given-names>J</given-names>
</name>
<name>
<surname>Guo</surname>
<given-names>X</given-names>
</name>
<name>
<surname>Zhao</surname>
<given-names>SG</given-names>
</name>
</person-group>. <article-title>Structuring Al<sup>3&#x2b;</sup>-Doped LiNi<sub>1/3</sub>-Co<sub>1/3</sub>Mn<sub>1/3</sub>O<sub>2</sub> by 3D-Birdnest-Shaped MnO<sub>2</sub>
</article-title>. <source>Funct Mater Lett</source> (<year>2019</year>) <volume>12</volume>(<issue>4</issue>):<fpage>1950051</fpage>&#x2013;<lpage>4</lpage>. <pub-id pub-id-type="doi">10.1142/S1793604719500516</pub-id> </citation>
</ref>
<ref id="B21">
<label>21.</label>
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Pana</surname>
<given-names>TY</given-names>
</name>
<name>
<surname>Thanh</surname>
<given-names>NTT</given-names>
</name>
<name>
<surname>Chang</surname>
<given-names>YC</given-names>
</name>
<name>
<surname>Hsu</surname>
<given-names>WD</given-names>
</name>
</person-group>. <article-title>First-principles Study on the Initial Reactions at LiNi<sub>1/3</sub>Co<sub>1/3</sub>Mn<sub>1/3</sub>O<sub>2</sub> Cathode/electrolyte Interface in Lithium-Ion Batteries</article-title>. <source>Appl Surf Sci</source> (<year>2020</year>) <volume>507</volume>:<fpage>144842</fpage>&#x2013;<lpage>8</lpage>. <pub-id pub-id-type="doi">10.1016/j.apsusc.2019.144842</pub-id> </citation>
</ref>
<ref id="B22">
<label>22.</label>
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Shen</surname>
<given-names>KX</given-names>
</name>
<name>
<surname>Chen</surname>
<given-names>HD</given-names>
</name>
<name>
<surname>Hou</surname>
<given-names>XH</given-names>
</name>
<name>
<surname>Wang</surname>
<given-names>SF</given-names>
</name>
<name>
<surname>Qin</surname>
<given-names>HQ</given-names>
</name>
<name>
<surname>Gao</surname>
<given-names>YM</given-names>
</name>
</person-group>. <article-title>Mechanistic Insight into the Role of N-Doped Carbon Matrix in Electrospun Binder-free Si@C Composite Anode for Lithium-Ion Batteries</article-title>. <source>Ionics</source> (<year>2020</year>) <volume>26</volume>:<fpage>3297</fpage>&#x2013;<lpage>305</lpage>. <pub-id pub-id-type="doi">10.1007/s11581-020-03484-x</pub-id> </citation>
</ref>
<ref id="B23">
<label>23.</label>
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Chen</surname>
<given-names>SD</given-names>
</name>
<name>
<surname>Sood</surname>
<given-names>A</given-names>
</name>
<name>
<surname>Pop</surname>
<given-names>E</given-names>
</name>
<name>
<surname>Goodson</surname>
<given-names>KE</given-names>
</name>
<name>
<surname>Donadio</surname>
<given-names>D</given-names>
</name>
</person-group>. <article-title>Strongly Tunable Anisotropic thermal Transport in MoS<sub>2</sub> by Strain and Lithium Intercalation: First-Principles Calculations</article-title>. <source>2D Mater</source> (<year>2019</year>) <volume>6</volume>:<fpage>025033</fpage>&#x2013;<lpage>42</lpage>. <pub-id pub-id-type="doi">10.1088/2053-1583/ab0715</pub-id> </citation>
</ref>
<ref id="B24">
<label>24.</label>
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Gao</surname>
<given-names>YM</given-names>
</name>
<name>
<surname>Shen</surname>
<given-names>KX</given-names>
</name>
<name>
<surname>Liu</surname>
<given-names>P</given-names>
</name>
<name>
<surname>Liu</surname>
<given-names>LM</given-names>
</name>
<name>
<surname>Chi</surname>
<given-names>F</given-names>
</name>
<name>
<surname>Hou</surname>
<given-names>XH</given-names>
</name>
</person-group>. <article-title>First-principles Investigation on Electrochemical Performance of Na-Doped LiNi<sub>1/3</sub>Co<sub>1/3</sub>Mn<sub>1/3</sub>O<sub>2</sub>
</article-title>. <source>Frontier Phys</source> (<year>2021</year>) <volume>8</volume>:<fpage>616066</fpage>&#x2013;<lpage>73</lpage>. <pub-id pub-id-type="doi">10.3389/fphy.2020.616066</pub-id> </citation>
</ref>
<ref id="B25">
<label>25.</label>
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Gao</surname>
<given-names>YM</given-names>
</name>
<name>
<surname>Hui</surname>
<given-names>YC</given-names>
</name>
<name>
<surname>Yin</surname>
<given-names>H</given-names>
</name>
</person-group>. <article-title>Enhanced Electrochemical Property of Li<sub>1.2&#x2212;<italic>x</italic>
</sub>Na<sub>
<italic>x</italic>
</sub>Mn<sub>0.54</sub>Ni<sub>0.13</sub>Co<sub>0.13</sub>O<sub>2</sub> Cathode Material for the New Optoelectronic Devices</article-title>. <source>Frontier Phys</source> (<year>2021</year>) <volume>9</volume>:<fpage>690661</fpage>&#x2013;<lpage>8</lpage>. <pub-id pub-id-type="doi">10.3389/fphy.2021.690661</pub-id> </citation>
</ref>
<ref id="B26">
<label>26.</label>
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Ng</surname>
<given-names>MF</given-names>
</name>
<name>
<surname>Sullivan</surname>
<given-names>MB</given-names>
</name>
</person-group>. <article-title>First-principles Characterization of Lithium Cobalt Pyrophosphate as a Cathode Material for Solid-State Li-Ion Batteries</article-title>. <source>J&#x20;Phys Chem C</source> (<year>2019</year>) <volume>123</volume>(<issue>49</issue>):<fpage>29623</fpage>&#x2013;<lpage>9</lpage>. <pub-id pub-id-type="doi">10.1021/acs.jpcc.9b09946</pub-id> </citation>
</ref>
<ref id="B27">
<label>27.</label>
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Perdew</surname>
<given-names>JP</given-names>
</name>
<name>
<surname>Chevary</surname>
<given-names>JA</given-names>
</name>
<name>
<surname>Vosko</surname>
<given-names>SH</given-names>
</name>
<name>
<surname>Jackson</surname>
<given-names>KA</given-names>
</name>
<name>
<surname>Pederson</surname>
<given-names>MR</given-names>
</name>
<name>
<surname>Singh</surname>
<given-names>DJ</given-names>
</name>
</person-group>. <article-title>Erratum: Atoms, Molecules, Solids, and Surface: Applications of the Generalized Gradient Approximation for Exchange and Correlation</article-title>. <source>Phy Rev B</source> (<year>1992</year>) <volume>46</volume>(<issue>11</issue>):<fpage>6671</fpage>&#x2013;<lpage>87</lpage>. <pub-id pub-id-type="doi">10.1103/PhysRevB.46.6671</pub-id> </citation>
</ref>
<ref id="B28">
<label>28.</label>
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Perdew</surname>
<given-names>JP</given-names>
</name>
<name>
<surname>Burke</surname>
<given-names>K</given-names>
</name>
<name>
<surname>Ernzerhof</surname>
<given-names>M</given-names>
</name>
</person-group>. <article-title>Generalized Gradient Approximation Made Simple</article-title>. <source>Phys Rev Lett</source> (<year>1996</year>) <volume>77</volume>:<fpage>3865</fpage>&#x2013;<lpage>8</lpage>. <pub-id pub-id-type="doi">10.1103/PhysRevLett.77.3865</pub-id> </citation>
</ref>
<ref id="B29">
<label>29.</label>
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Kresse</surname>
<given-names>G</given-names>
</name>
<name>
<surname>Joubert</surname>
<given-names>D</given-names>
</name>
</person-group>. <article-title>From Ultrasoft Pseudopotentials to the Projector Augmented-Wave Method</article-title>. <source>Phys Rev B</source> (<year>1999</year>) <volume>59</volume>:<fpage>1758</fpage>&#x2013;<lpage>75</lpage>. <pub-id pub-id-type="doi">10.1103/PhysRevB.59.175</pub-id> </citation>
</ref>
</ref-list>
</back>
</article>