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<article article-type="review-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">870205</article-id>
<article-id pub-id-type="doi">10.3389/fphy.2022.870205</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Physics</subject>
<subj-group>
<subject>Review</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Superalkalis for the Activation of Carbon Dioxide: A Review</article-title>
<alt-title alt-title-type="left-running-head">Srivastava and Srivastava</alt-title>
<alt-title alt-title-type="right-running-head">Superalkalis for the CO<sub>2</sub> Activation</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname>Srivastava</surname>
<given-names>Harshita</given-names>
</name>
<uri xlink:href="https://loop.frontiersin.org/people/1667108/overview"/>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Srivastava</surname>
<given-names>Ambrish Kumar</given-names>
</name>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1102614/overview"/>
</contrib>
</contrib-group>
<aff>
<institution>Department of Physics</institution>, <institution>Deen Dayal Upadhyaya Gorakhpur University</institution>, <addr-line>Gorakhpur</addr-line>, <country>India</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/872522/overview">Moyuan Cao</ext-link>, Tianjin 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/1590188/overview">Jin-Chang Guo</ext-link>, Shanxi University, China</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1705178/overview">Di Qiu</ext-link>, Tianjin Normal University, China</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: Ambrish Kumar Srivastava, <email>ambrishphysics@gmail.com</email>
</corresp>
<fn fn-type="other">
<p>This article was submitted to Physical Chemistry and Chemical Physics, a section of the journal Frontiers in Physics</p>
</fn>
</author-notes>
<pub-date pub-type="epub">
<day>05</day>
<month>04</month>
<year>2022</year>
</pub-date>
<pub-date pub-type="collection">
<year>2022</year>
</pub-date>
<volume>10</volume>
<elocation-id>870205</elocation-id>
<history>
<date date-type="received">
<day>06</day>
<month>02</month>
<year>2022</year>
</date>
<date date-type="accepted">
<day>08</day>
<month>03</month>
<year>2022</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2022 Srivastava and Srivastava.</copyright-statement>
<copyright-year>2022</copyright-year>
<copyright-holder>Srivastava and Srivastava</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>The activation of carbon dioxide is essential not only for global carbon balance but also for its conversion into fuel. As CO<sub>2</sub> is highly stable, it is quite challenging to activate or reduce CO<sub>2</sub>. Recently, the ability of superalkalis to easily transfer an electron to CO<sub>2</sub> has been proposed in several studies. The superalkalis are species possessing lower ionization energy than alkali atoms. These are hypervalent species, having an excess of electrons. Owing to this, they possess strong reducing power and cause the linear structure of CO<sub>2</sub> to bend by transferring an electron to it. Herein, we present a comprehensive account of the single-electron reduction and activation of CO<sub>2</sub> by various kinds of superalkalis. This review also includes a novel strategy for the capture and storage of CO<sub>2</sub> by superalkali.</p>
</abstract>
<kwd-group>
<kwd>CO<sub>2</sub> activation</kwd>
<kwd>CO<sub>2</sub> reduction</kwd>
<kwd>charge transfer</kwd>
<kwd>superalkalis</kwd>
<kwd>theoretical studies</kwd>
</kwd-group>
</article-meta>
</front>
<body>
<sec id="s1">
<title>Introduction</title>
<p>Carbon dioxide (CO<sub>2</sub>) is a colorless and odorless gas with the property of trapping greenhouse gases, which are produced due to human activities as well as natural processes. Recently, the sharp decline in CO<sub>2</sub> levels has been noticed at the expense of the COVID-19 pandemic, which has caused a severe health emergency in the world and is not sustainable. The fueling of CO<sub>2</sub> in our environment is mainly through the CO<sub>2</sub> emissions from power plants and other industrial facilities, primarily waste products, and the developed economies are the leading contributors. As mentioned, it traps greenhouse gases which generally cause a change in the behavior of climate since it is a major contributor to global warming. In order to reduce its contribution to global warming, it is necessary to convert CO<sub>2</sub> into value-added products. The best way to back-pedal climate change without using expensive methods is extricating CO<sub>2</sub> from the air and then converting it into a useful product like fuel. These important issues were addressed by numerous techniques, which can be employed to reduce and capture CO<sub>2</sub> by other molecules [<xref ref-type="bibr" rid="B1">1</xref>&#x2013;<xref ref-type="bibr" rid="B7">7</xref>]. As CO<sub>2</sub> is an extremely stable molecule [<xref ref-type="bibr" rid="B8">8</xref>, <xref ref-type="bibr" rid="B9">9</xref>], it is quite challenging to convert it into usable fuel. To convert CO<sub>2</sub> into fuel, it is needed to activate CO<sub>2</sub> by some means or chemically reduce it by catalysts. CO<sub>2</sub> can be reduced either electrochemically (electrical energy) or photoelectrochemically (incident light) into CO. Single-electron reduction of CO<sub>2</sub> to CO<sub>2</sub>
<sup>&#x2212;</sup> was experimentally not viable due to the large energy of reorganization between linear CO<sub>2</sub> and bent CO<sub>2</sub>
<sup>&#x2212;</sup> anion. Notably, the electron affinity of CO<sub>2</sub> is negative so that CO<sub>2</sub>
<sup>&#x2212;</sup> is metastable. CO<sub>2</sub>
<sup>&#x2212;</sup> anion is stable in the <sup>2</sup>A<sub>1</sub> state [<xref ref-type="bibr" rid="B10">10</xref>] which can be treated as an activated CO<sub>2</sub> moiety with the weaker C-O bond. The potential energy surface of the CO<sub>2</sub>
<sup>&#x2212;</sup> anion suggests three vibronically coupled bound states [<xref ref-type="bibr" rid="B11">11</xref>].</p>
<p>It is difficult to extract an electron from carbon dioxide because of its high ionization energy (13&#xa0;eV) [<xref ref-type="bibr" rid="B12">12</xref>]. However, it has been revealed that there is a possibility of oxidation of CO<sub>2</sub> using superhalogens [<xref ref-type="bibr" rid="B13">13</xref>], whose electron affinity overrides the halogen atoms [<xref ref-type="bibr" rid="B14">14</xref>]. The counterparts of superhalogens are superalkalis which bear lower ionization energy than alkali atoms [<xref ref-type="bibr" rid="B15">15</xref>]. Due to the stronger reducibility of superalkalis over alkali atoms, they might activate stable CO<sub>2</sub>. To investigate this, a few studies have been performed recently. In this review, we will provide an overview of how superalkalis play a significant role in the activation or reduction of CO<sub>2</sub>, which is the initial step to convert CO<sub>2</sub> into fuel. Exploration of chemical processes used in the reduction of CO<sub>2</sub> is of tremendous importance in various fields, like biological, environmental, and industrial processes [<xref ref-type="bibr" rid="B16">16</xref>]. Before we go further, let us first have a look at superalkalis.</p>
<sec id="s1-1">
<title>What Are Superalkalis?</title>
<p>Alkali atoms possess the lowest ionization energy (IE), ranging from 5.39 to 3.89&#xa0;eV, among all the elements in the periodic table. However, superalkalis are clusters whose ionization energies are even lower than this range. These clusters were originally introduced by Gutsev and Boldyrev in 1982 using <italic>sp-</italic>block elements [<xref ref-type="bibr" rid="B15">15</xref>]. They proposed species like Li<sub>2</sub>F, Li<sub>3</sub>O, and Li<sub>4</sub>N as superalkalis. In the form of a superatom, these clusters impersonate the behavior of alkali atoms. There have been several studies on the design of various kinds of superalkalis [<xref ref-type="bibr" rid="B17">17</xref>&#x2013;<xref ref-type="bibr" rid="B24">24</xref>]. For instance, the binuclear superalkalis including F<sub>2</sub>Li<sub>3,</sub> have been widely studied [<xref ref-type="bibr" rid="B17">17</xref>]. Hou et al. [<xref ref-type="bibr" rid="B18">18</xref>] described non-metallic binuclear cations such as F<sub>2</sub>H<sub>3</sub>
<sup>&#x2b;</sup> and O<sub>2</sub>H<sub>5</sub>
<sup>&#x2b;</sup>. Zhao et al. [<xref ref-type="bibr" rid="B19">19</xref>] proposed some special superalkalis like N<sub>4</sub>Mg<sub>6</sub>Li, Al<sub>3</sub>, Mn(B<sub>3</sub>N<sub>3</sub>H<sub>6</sub>)<sub>2</sub>, B<sub>9</sub>C<sub>3</sub>H<sub>12</sub>, Al<sub>12</sub>P, and C<sub>5</sub>NH<sub>6</sub>, which were designed by using different schemes like jellium rule, 18-electron rule, Wade&#x2013;Mingos rule, and Huckle&#x2019;s rule, respectively. Al<sub>12</sub>P was reported to be an alkali&#x2013;metal-like superatom [<xref ref-type="bibr" rid="B20">20</xref>, <xref ref-type="bibr" rid="B21">21</xref>]. Recently, Sikorska and Gaston [<xref ref-type="bibr" rid="B22">22</xref>] reported the superalkali behavior of polynuclear N<sub>4</sub>Mg<sub>6</sub>M for M &#x3d; Li, Na, and K. Srivastava [<xref ref-type="bibr" rid="B25">25</xref>] noticed that the IE of C<sub>6</sub>Li<sub>6</sub>, being lower than that of Li, makes it a closed-shell superalkali. The IE scale of these superalkalis is depicted in <xref ref-type="fig" rid="F1">Figure 1</xref>.</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>Ionization energy scale of various superalkalis is considered here. The values are taken from Refs. <xref ref-type="bibr" rid="B17">17</xref>&#x2013;<xref ref-type="bibr" rid="B22">22</xref>, <xref ref-type="bibr" rid="B25">25</xref>, and <xref ref-type="bibr" rid="B35">35</xref>.</p>
</caption>
<graphic xlink:href="fphy-10-870205-g001.tif"/>
</fig>
<p>Superalkalis find applications in the design of supersalts [<xref ref-type="bibr" rid="B26">26</xref>&#x2013;<xref ref-type="bibr" rid="B28">28</xref>], superbases [<xref ref-type="bibr" rid="B29">29</xref>&#x2013;<xref ref-type="bibr" rid="B31">31</xref>], alkaloids [<xref ref-type="bibr" rid="B32">32</xref>&#x2013;<xref ref-type="bibr" rid="B34">34</xref>], and so forth. Due to their low IE, superalkalis play an important role in chemical industries as reducing agents. Here, we provide an account of how superalkalis are exploited to activate the CO<sub>2</sub> molecule.</p>
</sec>
</sec>
<sec id="s2">
<title>Activation of CO<sub>2</sub> by Superalkalis</title>
<p>CO<sub>2</sub> is known to be a highly stable molecule due to its very high IE [<xref ref-type="bibr" rid="B12">12</xref>], as mentioned earlier, and no positive electron affinity [<xref ref-type="bibr" rid="B36">36</xref>, <xref ref-type="bibr" rid="B37">37</xref>]. However, the low IE of superalkalis enables them to transfer an electron to CO<sub>2</sub>, reducing it to CO<sub>2</sub>
<sup>&#x2212;</sup> anion and thus activating it. In <xref ref-type="fig" rid="F2">Figure 2</xref>, we show the structures of CO<sub>2</sub> and its anion, along with the charge distribution. One can see that the CO<sub>2</sub>
<sup>&#x2212;</sup> anion is bent, in which the bond length is increased as compared to neutral CO<sub>2</sub> due to the negative charge.</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>Structure and NPA charge distribution in <bold>(A)</bold> neutral CO<sub>2</sub> and <bold>(B)</bold> CO<sub>2</sub>
<sup>&#x2212;</sup>anion, Ref. <xref ref-type="bibr" rid="B19">19</xref> with the permission of the Royal Society of Chemistry.</p>
</caption>
<graphic xlink:href="fphy-10-870205-g002.tif"/>
</fig>
<p>Thus, the activation of CO<sub>2</sub> requires the following conditions to be satisfied:<list list-type="simple">
<list-item>
<p>1) The negative charge on CO<sub>2</sub> moiety is close to unity.</p>
</list-item>
<list-item>
<p>2) The structure of the CO<sub>2</sub> moiety is bent.</p>
</list-item>
<list-item>
<p>3) The bond length of CO<sub>2</sub> moiety is increased.</p>
</list-item>
</list>
</p>
<p>It has been reported earlier [<xref ref-type="bibr" rid="B38">38</xref>] that CO<sub>2</sub> would assume a bent structure when an electron is transferred to it or due to its interaction with the electrons of the metal atom. One would expect that the stable geometry of the M-CO<sub>2</sub> complex depends upon the IE of the metal atom, M. This may lead us to infer that an atom with a smaller IE should be able to transfer an electron to CO<sub>2</sub> more easily than one with a large IE. Later, we will discuss the interaction of CO<sub>2</sub> with various superalkalis described earlier.</p>
<sec id="s2-1">
<title>Interaction With Typical Superalkalis (FLi<sub>2</sub>, OLi<sub>3</sub>, and NLi<sub>4</sub>)</title>
<p>Srivastava [<xref ref-type="bibr" rid="B35">35</xref>] studied the interaction of CO<sub>2</sub> with FLi<sub>2</sub>, OLi<sub>3</sub>, and NLi<sub>4</sub> superalkalis using the second-order M&#xf8;ller&#x2013;Plesset perturbative (MP2) method [<xref ref-type="bibr" rid="B39">39</xref>] and the 6&#x2013;311&#x2b;G(d) basis set in the Gaussian 09 program [<xref ref-type="bibr" rid="B40">40</xref>]. Such interaction leads to the formation of complexes, as shown in <xref ref-type="fig" rid="F3">Figure 3</xref>, and corresponding parameters can be found in <xref ref-type="table" rid="T1">Table 1</xref>. It is evident that the minimum energy of these complexes corresponds to the structure in which the interaction between CO<sub>2</sub>, and superalkalis is mediated by both the O atoms of CO<sub>2</sub>. The bond length of Li-O lies between 1.865 and 1.892&#xa0;&#xc5;. The low-lying isomers of FLi<sub>2</sub>-CO<sub>2</sub> and OLi<sub>3</sub>-CO<sub>2</sub> are of higher energy in which CO<sub>2</sub> interacts <italic>via</italic> a single atom, whereas in the case of NLi<sub>4</sub>-CO<sub>2</sub>, there are no competing isomers obtained.</p>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption>
<p>Equilibrium structures of CO<sub>2</sub> complexes with typical superalkalis, with bond lengths in &#xc5; from Ref. <xref ref-type="bibr" rid="B35">35</xref> with the permission of Wiley.</p>
</caption>
<graphic xlink:href="fphy-10-870205-g003.tif"/>
</fig>
<table-wrap id="T1" position="float">
<label>TABLE 1</label>
<caption>
<p>Relative energy, binding energy (BE), NPA charge (&#x2206;<italic>q</italic>), bond length (C-O), and bond angle (O-C-O) of the complexes of CO<sub>2</sub> with various superalkalis.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">System</th>
<th align="center">Isomers</th>
<th align="center">Relative energy (eV)</th>
<th align="center">BE (eV)</th>
<th align="center">&#x2206;<italic>q</italic> (e)</th>
<th align="center">C-O (&#xc5;)</th>
<th align="center">O-C-O (Deg)</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td rowspan="2" align="left">FLi<sub>2</sub>-CO<sub>2</sub>
<xref ref-type="table-fn" rid="Tfn1">
<sup>1</sup>
</xref>
</td>
<td align="center">(a)</td>
<td align="char" char=".">0</td>
<td align="char" char=".">2.41</td>
<td align="char" char=".">&#x2212;0.90</td>
<td align="char" char=".">1.25</td>
<td align="center">133</td>
</tr>
<tr>
<td align="center">(b)</td>
<td align="char" char=".">1.07</td>
<td align="char" char=".">1.34</td>
<td align="char" char=".">&#x2212;0.17</td>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td rowspan="2" align="left">OLi<sub>3</sub>-CO<sub>2</sub>
<xref ref-type="table-fn" rid="Tfn1">
<sup>1</sup>
</xref>
</td>
<td align="center">(a)</td>
<td align="char" char=".">0</td>
<td align="char" char=".">1.23</td>
<td align="char" char=".">&#x2212;0.88</td>
<td align="char" char=".">1.24</td>
<td align="center">133</td>
</tr>
<tr>
<td align="center">(b)</td>
<td align="char" char=".">0.40</td>
<td align="char" char=".">0.83</td>
<td align="char" char=".">&#x2212;0.82</td>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td align="left">NLi<sub>4</sub>-CO<sub>2</sub>
<xref ref-type="table-fn" rid="Tfn1">
<sup>1</sup>
</xref>
</td>
<td align="center">&#x2014;</td>
<td align="center">&#x2014;</td>
<td align="char" char=".">1.17</td>
<td align="char" char=".">&#x2212;0.85</td>
<td align="char" char=".">1.25</td>
<td align="center">133</td>
</tr>
<tr>
<td rowspan="3" align="left">Li<sub>3</sub>F<sub>2</sub>-CO<sub>2</sub>
<xref ref-type="table-fn" rid="Tfn2">
<sup>2</sup>
</xref>
</td>
<td align="center">(a)</td>
<td align="char" char=".">0</td>
<td align="char" char=".">1.63</td>
<td align="char" char=".">&#x2212;0.78</td>
<td align="char" char=".">1.24</td>
<td align="center">137</td>
</tr>
<tr>
<td align="center">(b)</td>
<td align="char" char=".">0.05</td>
<td align="char" char=".">1.58</td>
<td align="char" char=".">&#x2212;0.63</td>
<td align="char" char=".">1.23</td>
<td align="center">133</td>
</tr>
<tr>
<td align="center">(c)</td>
<td align="char" char=".">0.57</td>
<td align="char" char=".">1.06</td>
<td align="char" char=".">&#x2212;0.88</td>
<td align="char" char=".">1.25</td>
<td align="center">131</td>
</tr>
<tr>
<td rowspan="2" align="left">Al<sub>3</sub>-CO<sub>2</sub>
<xref ref-type="table-fn" rid="Tfn3">
<sup>3</sup>
</xref>
</td>
<td rowspan="2" align="center">&#x2014;</td>
<td rowspan="2" align="center">&#x2014;</td>
<td rowspan="2" align="center">&#x2014;</td>
<td rowspan="2" align="char" char=".">&#x2212;1.26</td>
<td align="char" char=".">1.29</td>
<td rowspan="2" align="center">126</td>
</tr>
<tr>
<td align="char" char=".">1.51</td>
</tr>
<tr>
<td align="left">Mn(B<sub>3</sub>N<sub>3</sub>H<sub>6</sub>)<sub>2</sub>-CO<sub>2</sub>
<xref ref-type="table-fn" rid="Tfn3">
<sup>3</sup>
</xref>
</td>
<td align="center">&#x2014;</td>
<td align="center">&#x2014;</td>
<td align="center">&#x2014;</td>
<td align="char" char=".">&#x2212;0.90</td>
<td align="char" char=".">1.25</td>
<td align="center">133</td>
</tr>
<tr>
<td rowspan="2" align="left">B<sub>9</sub>C<sub>3</sub>H<sub>12</sub>-CO<sub>2</sub>
<xref ref-type="table-fn" rid="Tfn3">
<sup>3</sup>
</xref>
</td>
<td rowspan="2" align="center">&#x2014;</td>
<td rowspan="2" align="center">&#x2014;</td>
<td rowspan="2" align="center">&#x2014;</td>
<td rowspan="2" align="char" char=".">&#x2212;0.91</td>
<td align="char" char=".">1.28</td>
<td rowspan="2" align="center">131</td>
</tr>
<tr>
<td align="char" char=".">1.29</td>
</tr>
<tr>
<td align="left">C<sub>5</sub>NH<sub>6</sub>-CO<sub>2</sub>
<xref ref-type="table-fn" rid="Tfn3">
<sup>3</sup>
</xref>
</td>
<td align="center">&#x2014;</td>
<td align="center">&#x2014;</td>
<td align="center">&#x2014;</td>
<td align="char" char=".">&#x2212;0.63</td>
<td align="char" char=".">1.35</td>
<td align="center">129</td>
</tr>
<tr>
<td rowspan="2" align="left">O<sub>2</sub>H<sub>5</sub>-CO<sub>2</sub>
<xref ref-type="table-fn" rid="Tfn4">
<sup>4</sup>
</xref>
</td>
<td align="center">(a)</td>
<td align="char" char=".">0</td>
<td align="char" char=".">1.30</td>
<td align="char" char=".">&#x2212;0.75</td>
<td align="char" char=".">1.26</td>
<td align="center">126</td>
</tr>
<tr>
<td align="center">(b)</td>
<td align="char" char=".">0.02</td>
<td align="char" char=".">1.28</td>
<td align="char" char=".">&#x2212;0.72</td>
<td align="char" char=".">1.25</td>
<td align="center">138</td>
</tr>
<tr>
<td rowspan="2" align="left">N<sub>2</sub>H<sub>7</sub>-CO<sub>2</sub>
<xref ref-type="table-fn" rid="Tfn4">
<sup>4</sup>
</xref>
</td>
<td align="center">(a)</td>
<td align="char" char=".">0</td>
<td align="char" char=".">&#x2212;0.03</td>
<td align="char" char=".">&#x2212;0.77</td>
<td align="char" char=".">1.23</td>
<td align="center">139</td>
</tr>
<tr>
<td align="center">(b)</td>
<td align="char" char=".">0.79</td>
<td align="char" char=".">&#x2212;0.82</td>
<td align="char" char=".">&#x2212;0.38</td>
<td align="char" char=".">1.27</td>
<td align="center">140</td>
</tr>
<tr>
<td rowspan="3" align="left">Al<sub>12</sub>P-CO<sub>2</sub>
<xref ref-type="table-fn" rid="Tfn5">
<sup>5</sup>
</xref>
</td>
<td align="center">(a)</td>
<td align="char" char=".">0</td>
<td align="center">&#x2014;</td>
<td align="char" char=".">&#x2212;0.71</td>
<td align="char" char=".">1.24</td>
<td align="center">130</td>
</tr>
<tr>
<td align="center">(b)</td>
<td align="char" char=".">0.11</td>
<td align="center">&#x2014;</td>
<td align="center">&#x2014;</td>
<td align="char" char=".">1.97</td>
<td align="center">125</td>
</tr>
<tr>
<td align="center">(c)</td>
<td align="char" char=".">0.20</td>
<td align="center">&#x2014;</td>
<td align="center">&#x2014;</td>
<td align="char" char=".">1.26</td>
<td align="center">132</td>
</tr>
<tr>
<td rowspan="3" align="left">N<sub>4</sub>Mg<sub>6</sub>Li-CO<sub>2</sub>
<xref ref-type="table-fn" rid="Tfn6">
<sup>6</sup>
</xref>
</td>
<td align="center">(a)</td>
<td align="char" char=".">0</td>
<td align="char" char=".">1.57</td>
<td align="char" char=".">&#x2212;0.79</td>
<td align="char" char=".">1.28</td>
<td align="center">125</td>
</tr>
<tr>
<td align="center">(b)</td>
<td align="char" char=".">0.04</td>
<td align="char" char=".">1.53</td>
<td align="char" char=".">&#x2212;0.79</td>
<td align="left"/>
<td align="center">126</td>
</tr>
<tr>
<td align="center">(c)</td>
<td align="char" char=".">0.11</td>
<td align="char" char=".">1.46</td>
<td align="char" char=".">&#x2212;0.87</td>
<td align="left"/>
<td align="center">123</td>
</tr>
<tr>
<td align="left">Li<sub>3</sub>F<sub>2</sub>-CO<sub>2</sub>@C<sub>60</sub>
<xref ref-type="table-fn" rid="Tfn7">
<sup>7</sup>
</xref>
</td>
<td align="center">&#x2014;</td>
<td align="center">&#x2014;</td>
<td align="char" char=".">1.84</td>
<td align="center">&#x2014;</td>
<td align="char" char=".">1.20</td>
<td align="center">132</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn id="Tfn1">
<label>1</label>
<p>Calculated at MP2/6-311&#x2b;G (d) level in Ref. <xref ref-type="bibr" rid="B35">35</xref>.</p>
</fn>
<fn id="Tfn2">
<label>2</label>
<p>Calculated at CBS-OB3 composite model in <xref ref-type="bibr" rid="B41">Ref. 41</xref>.</p>
</fn>
<fn id="Tfn3">
<label>3</label>
<p>Calculated at MP2/6-311&#x2b;G (d) level in <xref ref-type="bibr" rid="B19">Ref. 19</xref>.</p>
</fn>
<fn id="Tfn4">
<label>4</label>
<p>Calculated at MP2/6-311&#x2b;G (d,p) level in <xref ref-type="bibr" rid="B42">Ref. 42</xref>.</p>
</fn>
<fn id="Tfn5">
<label>5</label>
<p>Calculated at M06-2X/6-311&#x2b;G (d) level in Ref. <xref ref-type="bibr" rid="B43">43</xref>.</p>
</fn>
<fn id="Tfn6">
<label>6</label>
<p>Calculated at CCSD (T)/6-311&#x2b;G (3df)//MP2/6-311&#x2b;G (d) level in Ref. <xref ref-type="bibr" rid="B22">22</xref>.</p>
</fn>
<fn id="Tfn7">
<label>7</label>
<p>Calculated at B3LYP/6-31G (d) level in Ref.<xref ref-type="bibr" rid="B44">44</xref>.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>The binding energy (BE) of superalkali&#x2013;CO<sub>2</sub> complexes is calculated and listed in <xref ref-type="table" rid="T1">Table 1</xref>. The BE of these complexes monotonically decreases with the increase in the size of superalkalis. This can be explained on the basis of a more delocalized electron cloud that is generally associated with the larger superalkalis. The natural population analysis (NPA) [<xref ref-type="bibr" rid="B45">45</xref>] charges (&#x2206;<italic>q</italic>) on CO<sub>2</sub> have also been listed. The most stable structure of superalkali&#x2013;CO<sub>2</sub> complexes takes the values of &#x2206;<italic>q</italic> as &#x2212;0.90e for FLi<sub>2</sub>, &#x2212;0.88e for OLi<sub>3</sub>, and &#x2212;0.85e for NLi<sub>4</sub>. In isomer (b) of FLi<sub>2</sub>-CO<sub>2</sub>, &#x2206;<italic>q</italic> has a very small magnitude (&#x2212;0.17e), which is consistent with an almost linear CO<sub>2</sub> moiety just as in a neutral CO<sub>2</sub> molecule. On the contrary, the &#x2206;<italic>q</italic> in isomer (b) of OLi<sub>3</sub>-CO<sub>2</sub> is, albeit smaller than that in its lowest energy structure (a), large enough to bend the CO<sub>2</sub> moiety. It should be noted that the size of the superalkalis is a more important factor than their IE in CO<sub>2</sub> activation. As per calculated binding energy and charge transfer, FLi<sub>2</sub> is more effective for CO<sub>2</sub> reduction. In these complexes, the CO<sub>2</sub> moiety is bent by 133&#xb0; and the bond length C-O becomes 1.246&#xa0;&#xc5; which is comparable to the bond lengths of 1.237&#xa0;&#xc5; and bond angle 137&#xb0; in the CO<sub>2</sub>
<sup>&#x2212;</sup> anion, obtained at the MP2/6-311&#x2b;G(d) level. This study suggests simple and catalyst-free single-electron reduction of CO<sub>2</sub> by using typical superalkalis such as FLi<sub>2</sub>, OLi<sub>3</sub>, and NLi<sub>4</sub>.</p>
</sec>
<sec id="s2-2">
<title>Interaction With Binuclear Superalkali (Li<sub>3</sub>F<sub>2</sub>)</title>
<p>Park and Meloni [<xref ref-type="bibr" rid="B41">41</xref>] reported the interaction of CO<sub>2</sub> and superalkali species Li<sub>3</sub>F<sub>2</sub> using the CBS-OB3 composite model [<xref ref-type="bibr" rid="B46">46</xref>] through the Gaussian 09 program. They obtained three isomers, two planar (a) and (b), as well as one non-planar (c), of the Li<sub>3</sub>F<sub>2</sub>-CO<sub>2</sub> complex, as shown in <xref ref-type="fig" rid="F4">Figure 4</xref>. There was no appreciable change in bond lengths between Li and F on interaction with CO<sub>2</sub>. Despite some structural changes in the superalkalis, the structure of CO<sub>2</sub> changes from linear to bending. Therefore, it is clear that the strongly bound CO<sub>2</sub> is activated upon interaction with the superalkali. From <xref ref-type="table" rid="T1">Table 1</xref>, the BE of Li<sub>3</sub>F<sub>2</sub>-CO<sub>2</sub> isomers is found to be in the range of 1.06&#x2013;1.63&#xa0;eV (106&#x2013;163&#xa0;kJ/mol). The lowest BE was obtained for the isomer (c) in which one oxygen interacts with both the terminal Li atoms and the other oxygen with the central Li atom. The isomer (a) possesses greater BE and therefore stronger intermolecular interaction than isomer (b) because the electron density is more localized between the two terminal Li atoms and two oxygen atoms.</p>
<fig id="F4" position="float">
<label>FIGURE 4</label>
<caption>
<p>Equilibrium structures of CO<sub>2</sub> complex with binuclear superalkali with bond lengths from Ref. <xref ref-type="bibr" rid="B41">41</xref> with the permission of the Royal Society of Chemistry.</p>
</caption>
<graphic xlink:href="fphy-10-870205-g004.tif"/>
</fig>
<p>The BE of Li<sub>3</sub>F<sub>2</sub>-CO<sub>2</sub> complexes is comparable to or smaller than the BE of superalkali (FLi<sub>2</sub>, OLi<sub>3</sub>, NLi<sub>4</sub>)-CO<sub>2</sub> complexes reported by Srivastava [<xref ref-type="bibr" rid="B35">35</xref>]. The charge transfer to CO<sub>2</sub> in Li<sub>3</sub>F<sub>2</sub>-CO<sub>2</sub> isomers ranges from &#x2212;0.63e to &#x2212;0.88e (see <xref ref-type="table" rid="T1">Table 1</xref>). Thus, the charge on the CO<sub>2</sub> moiety along with its structure suggests that CO<sub>2</sub> is reduced to a CO<sub>2</sub>
<sup>&#x2212;</sup> anion.</p>
</sec>
<sec id="s2-3">
<title>Interaction With Special Superalkalis [Al<sub>3</sub>, Mn(B<sub>3</sub>N<sub>3</sub>H<sub>6</sub>)<sub>2</sub>, B<sub>9</sub>C<sub>3</sub>H<sub>12</sub>, C<sub>5</sub>NH<sub>6</sub>]</title>
<p>Zhao et al. [<xref ref-type="bibr" rid="B19">19</xref>] presented the rational design of superalkalis and studied the activation of CO<sub>2</sub> by these special superalkalis using MP2/6-311&#x2b;G(d) level in the Gaussian 09 program. They analyzed the interaction of CO<sub>2</sub> with special superalkalis like Al<sub>3</sub>, Mn (B<sub>3</sub>N<sub>3</sub>H<sub>6</sub>)<sub>2</sub>, B<sub>9</sub>C<sub>3</sub>H<sub>12</sub>, and C<sub>5</sub>NH<sub>6</sub>, which leads to the complexes shown in <xref ref-type="fig" rid="F5">Figure 5</xref>. The distance between the CO<sub>2</sub> moiety and superalkali clusters has been calculated as 1.950&#xa0;&#xc5;, 1.730&#xa0;&#xc5;, 2.320&#xa0;&#xc5;, and 1.040&#xa0;&#xc5; for Al<sub>3</sub>, Mn (B<sub>3</sub>N<sub>3</sub>H<sub>6</sub>)<sub>2</sub>, B<sub>9</sub>C<sub>3</sub>H<sub>12</sub>, and C<sub>5</sub>NH<sub>6</sub>, respectively. In the case of Al<sub>3</sub>, O-C bonds extend to 1.290 and 1.510&#xa0;&#xc5;, about 4.4&#x2013;22% longer than those in the CO<sub>2</sub>
<sup>&#x2212;</sup>anion, whereas in B<sub>9</sub>C<sub>3</sub>H<sub>12</sub>, the O-C bonds are extended to 1.290 and 1.280&#xa0;&#xc5;, about 3.3&#x2013;4.4% longer than those in CO<sub>2</sub>
<sup>&#x2212;</sup>. The bond extension in Mn (B<sub>3</sub>N<sub>3</sub>H<sub>6</sub>)<sub>2</sub> and C<sub>5</sub>NH<sub>6</sub> is observed to be 1.250&#xa0;&#xc5; which is slightly longer than that of 1.240&#xa0;&#xc5; in CO<sub>2</sub>
<sup>&#x2212;</sup> and 1.35&#xa0;&#xc5; which is about 9.3% longer than that in CO<sub>2</sub>
<sup>&#x2212;</sup>, respectively. The bond angle of O-C-O in Al<sub>3</sub>CO<sub>2</sub>, Mn (B<sub>3</sub>N<sub>3</sub>H<sub>6</sub>)<sub>2</sub>CO<sub>2</sub>, B<sub>9</sub>C<sub>3</sub>H<sub>12</sub>CO<sub>2</sub>, and C<sub>5</sub>NH<sub>6</sub>CO<sub>2</sub> is 126&#xb0;, 133&#xb0;, 131&#xb0;, and 129&#xb0; making the bond bend by 8&#xb0;, 3, 4, and 7% more than the corresponding value in CO<sub>2</sub>
<sup>&#x2212;</sup>. Thus, both the stretching of the O-C bonds and the bending of the O-C-O angle weaken the O-C bonds of CO<sub>2</sub>, making it easy to activate.</p>
<fig id="F5" position="float">
<label>FIGURE 5</label>
<caption>
<p>Equilibrium structures of CO<sub>2</sub> complex with special superalkalis from <xref ref-type="bibr" rid="B19">Ref. 19</xref> with the permission of the Royal Society of Chemistry.</p>
</caption>
<graphic xlink:href="fphy-10-870205-g005.tif"/>
</fig>
<p>The NPA charge has been listed in <xref ref-type="table" rid="T1">Table 1</xref> to show how much charge is transferred to CO<sub>2</sub>. This transfer of charge results in the bending of CO<sub>2</sub> and weakens the CO<sub>2</sub> bond, and therefore making it easier to break. The amount of charge transferred from Al<sub>3</sub>, Mn (B<sub>3</sub>N<sub>3</sub>H<sub>6</sub>)<sub>2</sub>, B<sub>9</sub>C<sub>3</sub>H<sub>12</sub>, and C<sub>5</sub>NH<sub>6</sub> to CO<sub>2</sub> are &#x2212;1.26e, &#x2212;0.90e, &#x2212;0.91e, and &#x2212;0.63e, respectively. Note that this amount of charge transferred from Al<sub>3</sub>, Mn (B<sub>3</sub>N<sub>3</sub>H<sub>6</sub>)<sub>2</sub>, B<sub>9</sub>C<sub>3</sub>H<sub>12</sub> are greater than that of noble gas (0.77e) [<xref ref-type="bibr" rid="B47">47</xref>] being very close to unity, whereas in the case of C<sub>5</sub>NH<sub>6</sub>, the amount of charge transferred is less. From this analysis, one may note that although the IE of Al<sub>3</sub> is not the lowest among these four superalkalis (see <xref ref-type="fig" rid="F1">Figure 1</xref>), the charge transferred is the most and it is capable of bending the CO<sub>2</sub> molecule the most. This indicates that the quantitative nature of the activation of CO<sub>2</sub> depends on the electronic structure and size of the superalkalis, as seen in an earlier section.</p>
</sec>
<sec id="s2-4">
<title>Interaction With Non-Metallic Superalkalis (O<sub>2</sub>H<sub>5</sub>, N<sub>2</sub>H<sub>7</sub>)</title>
<p>Kumar et al. [<xref ref-type="bibr" rid="B42">42</xref>] explored the scope of non-metallic superalkalis in the activation of CO<sub>2</sub>. They studied the interaction of CO<sub>2</sub> with non-metallic superalkalis such as O<sub>2</sub>H<sub>5</sub> and N<sub>2</sub>H<sub>7,</sub> employing the MP2/6-311&#x2b;&#x2b;G (d,p) level <italic>via</italic> the Gaussian 09 program. The equilibrium structures of O<sub>2</sub>H<sub>5</sub>-CO<sub>2</sub> and N<sub>2</sub>H<sub>7</sub>-CO<sub>2</sub> are shown in <xref ref-type="fig" rid="F6">Figure 6</xref>, and related parameters are listed in <xref ref-type="table" rid="T1">Table 1</xref>. It was noticed that in O<sub>2</sub>H<sub>5</sub>-CO<sub>2</sub> complexes, O atoms of CO<sub>2</sub> interact with the H-atom of superalkali, unlike in N<sub>2</sub>H<sub>7</sub>-CO<sub>2</sub>, in which the C-atom of CO<sub>2</sub> interacts with the H-atom. This may be due to the repulsion between excess electrons of N and O atoms.</p>
<fig id="F6" position="float">
<label>FIGURE 6</label>
<caption>
<p>Equilibrium structures of CO<sub>2</sub> complexes with non-metallic superalkalis from Ref. <xref ref-type="bibr" rid="B42">42</xref> with the permission of the Taylor &#x0026; Francis.</p>
</caption>
<graphic xlink:href="fphy-10-870205-g006.tif"/>
</fig>
<p>The (b) isomers of O<sub>2</sub>H<sub>5</sub>-CO<sub>2</sub> and N<sub>2</sub>H<sub>7</sub>-CO<sub>2</sub> are 0.24 and 0.78&#xa0;eV, higher in energy in which CO<sub>2</sub> interacts through the O-atom as well as the C-atom in the N<sub>2</sub>H<sub>7</sub>-CO<sub>2</sub> isomer. The relative stability of isomers can be explained on the basis of H-bond interactions. For instance, the bond lengths of O-H and C-H are 2.060&#xa0;&#xc5; and 3.710&#xa0;&#xc5;, respectively. The BE of these complexes provides relative strength through the interaction of CO<sub>2</sub> with non-metallic superalkalis. From <xref ref-type="table" rid="T1">Table 1</xref>, the BE suggests that O<sub>2</sub>H<sub>5</sub>-CO<sub>2</sub> isomers are stable, whereas N<sub>2</sub>H<sub>7</sub>-CO<sub>2</sub> is slightly destabilized due to the negative value of BE.</p>
<p>From <xref ref-type="table" rid="T1">Table 1</xref>, the value of NPA charges of CO<sub>2</sub> is calculated to be &#x2212;0.75e for O<sub>2</sub>H<sub>5</sub>-CO<sub>2</sub> and &#x2212;0.77e for N<sub>2</sub>H<sub>7</sub>-CO<sub>2</sub> lowest energy structures (a). Thus, the NPA charge values are very close to each other. In isomer (b) of O<sub>2</sub>H<sub>5</sub>-CO<sub>2</sub> and N<sub>2</sub>H<sub>7</sub>-CO<sub>2</sub>, the CO<sub>2</sub> moiety is bent, similar to that in its lowest energy structure. Therefore, the activation and the consequential reduction of CO<sub>2</sub> can also be possible by non-metallic superalkalis such as O<sub>2</sub>H<sub>5</sub>, if not by N<sub>2</sub>H<sub>7</sub>.</p>
</sec>
<sec id="s2-5">
<title>Interaction With Polynuclear Species (Al<sub>12</sub>P, N<sub>4</sub>Mg<sub>6</sub>M)</title>
<p>The compact (quasi) icosahedral Al<sub>12</sub>X (X &#x3d; Be, Al, C, and P) clusters have been employed to analyze the dissociation and absorption of small gas molecules [<xref ref-type="bibr" rid="B48">48</xref>&#x2013;<xref ref-type="bibr" rid="B54">54</xref>]. Zhang et al. [<xref ref-type="bibr" rid="B43">43</xref>] studied the interaction of Al<sub>12</sub>P superalkali with CO<sub>2</sub> using Minnesota density functional (M06-2X) [<xref ref-type="bibr" rid="B55">55</xref>] and 6-311&#x2b;G(d) basis set in the Gaussian 09 program. They obtained three isomers of the Al<sub>12</sub>P-CO<sub>2</sub> complex as shown in <xref ref-type="fig" rid="F7">Figure 7</xref>. The lowest energy corresponds to the isomer (a) in which the interaction is mediated by both O atoms. The isomers (b) and (c) are found to have a high energy of 0.11&#xa0;eV (2.64&#xa0;kcal/mol) and 0.20&#xa0;eV (4.52&#xa0;kcal/mol), respectively. Obviously, the chemisorbed CO<sub>2</sub> molecule undergoes structural changes from linear to bending in each Al<sub>12</sub>P-CO<sub>2</sub> isomer.</p>
<fig id="F7" position="float">
<label>FIGURE 7</label>
<caption>
<p>Equilibrium structures of CO<sub>2</sub> complex with Al<sub>12</sub>P from <xref ref-type="bibr" rid="B43">Ref. 43</xref> with the permission of Wiley.</p>
</caption>
<graphic xlink:href="fphy-10-870205-g007.tif"/>
</fig>
<p>They confined their analyses to the global minimum structure, that is, isomer (a). The bond distance of C-O in isomer (a) is 1.24&#xa0;&#xc5;, which is found to be 7.6% larger than free CO<sub>2</sub> (1.15&#xa0;&#xc5;), consequently, weakening the C-O bond. Moreover, the variation of the C-O-C angle from 180&#xb0; to 130.4&#xb0; in isomer (a) advocates the change in hybridization of carbon in CO<sub>2</sub> from <italic>sp</italic> to quasi-<italic>sp</italic>
<sup>2</sup> after activation by Al<sub>12</sub>P. Furthermore, the C-O bond is marginally larger (1.23&#xa0;&#xc5;) as compared to isolated CO<sub>2</sub>
<sup>&#x2212;</sup>, whereas bond bending is also larger, about 4.7%, than that in isolated CO<sub>2</sub>
<sup>&#x2212;</sup>, which clearly supports the activation of CO<sub>2</sub> assimilated on the Al<sub>12</sub>P cluster. The computed total NPA charge on the CO<sub>2</sub> subunit is &#x2212;0.707e, which shows the transfer of almost one electron charge from Al<sub>12</sub>P to CO<sub>2</sub> in the complex. Thus, CO<sub>2</sub> is successfully reduced to CO<sub>2</sub>
<sup>&#x2212;</sup> anion. The low IE of Al<sub>12</sub>P superatom is the main source of CO<sub>2</sub> reduction as it facilitates the transfer of charge to CO<sub>2,</sub> which ultimately results in the contraction of the O-C-O angle and the weakening of the C-O bond of the CO<sub>2</sub> moiety. The small activation barrier of 23&#xa0;kcal/mol is calculated for the chemisorption of CO<sub>2</sub> on Al<sub>12</sub>P to form the Al<sub>12</sub>P-CO<sub>2</sub> complex (a), which further suggests the application of Al<sub>12</sub>P as a potential catalyst for CO<sub>2</sub> conversion. It has been found that the Al<sub>12</sub>P complex shows high adsorption intensities in the visible region and, hence, promotes photocatalysis or photothermal catalysis of CO<sub>2</sub> and its transformation by absorbing sunlight.</p>
<p>Recently, Sikorska and Gaston [<xref ref-type="bibr" rid="B22">22</xref>] explored new superalkali species, N<sub>4</sub>Mg<sub>6</sub>M (M &#x3d; Li, Na, K) by performing the MP2/6-311&#x2b;G(d) and single-point CCSD(T)/6-311&#x2b;G (3df) calculations Ref. <xref ref-type="bibr" rid="B56">56</xref> in the Gaussian 09 program. They studied the catalytic behavior of N<sub>4</sub>Mg<sub>6</sub>Li, N<sub>4</sub>Mg<sub>6</sub>Na, and N<sub>4</sub>Mg<sub>6</sub>K for CO<sub>2</sub> activation. For the sake of brevity, we will discuss the interaction of CO<sub>2</sub> with N<sub>4</sub>Mg<sub>6</sub>Li superalkali. CO<sub>2</sub> interacts with N<sub>4</sub>Mg<sub>6</sub>M and the resultant N<sub>4</sub>Mg<sub>6</sub>M-CO<sub>2</sub> complexes are displayed in <xref ref-type="fig" rid="F8">Figure 8</xref> for M &#x3d; Li. In all isomers, the interaction between CO<sub>2</sub> and N<sub>4</sub>Mg<sub>6</sub>M takes place via the C-N bond of 1.452&#x2013;1.454&#xa0;&#xc5;, which supports the evolution of a single bond between carbon and nitrogen.</p>
<fig id="F8" position="float">
<label>FIGURE 8</label>
<caption>
<p>Equilibrium structures of CO<sub>2</sub> complex with N<sub>4</sub>Mg<sub>6</sub>Li from <xref ref-type="bibr" rid="B22">Ref. 22</xref> with the permission of the American Institute of Physics.</p>
</caption>
<graphic xlink:href="fphy-10-870205-g008.tif"/>
</fig>
<p>The isomers (b) and (c) are found to be 0.04&#xa0;eV (0.97&#xa0;kcal/mol) and 0.11&#xa0;eV (2.48&#xa0;kcal/mol) higher in energy than the lowest energy isomer (a) in the case of N<sub>4</sub>Mg<sub>6</sub>Li-CO<sub>2</sub>. The binding energy of these isomers lies in the range of 1.46&#x2013;1.57&#xa0;eV (see <xref ref-type="table" rid="T1">Table 1</xref>). The C-O bond lengths, being in the range of 1.223&#x2013;1.224&#xa0;&#xc5; and 1.335&#x2013;1.336&#xa0;&#xc5; are indeed 8% larger than that of the CO<sub>2</sub> anion. Furthermore, the bending of the angle O-C-O, 123&#x2013;126&#xb0;, was 9% more than the angle of isolated CO<sub>2</sub>
<sup>&#x2212;</sup>. The NPA charge transferred from N<sub>4</sub>Mg<sub>6</sub>M superalkalis to CO<sub>2</sub> varies from &#x2212;0.799e to &#x2212;0.806e. Ionization energy plays a major role in the activation process of CO<sub>2,</sub> as the amount of transferred charge increases with the decrease in ionization energy because it is effortless to transfer charge from species with low ionization energy. Therefore, the extension of the bond distance of C-O along with the bending of angle O-C-O results in the weakening of C-O bonds of CO<sub>2</sub>. Thus, the newly designed N<sub>4</sub>Mg<sub>6</sub>M superalkalis could be used as a catalyst for CO<sub>2</sub> activation.</p>
</sec>
<sec id="s2-6">
<title>Interaction With Li<sub>3</sub>F<sub>2</sub> Superalkali Inside Buckminsterfullerene (C<sub>60</sub>)</title>
<p>The interaction of CO<sub>2</sub> with the binuclear Li<sub>3</sub>F<sub>2</sub> superalkali was reported by Park and Meloni as discussed in an earlier section. Recently, Meloni et al. [<xref ref-type="bibr" rid="B44">44</xref>] investigated the interaction of CO<sub>2</sub> with Li<sub>3</sub>F<sub>2</sub> inside fullerene (C<sub>60</sub>) by using B3LYP [<xref ref-type="bibr" rid="B57">57</xref>, <xref ref-type="bibr" rid="B58">58</xref>] with the 6-31G (d) basis set in the Gaussian 09 program. They noticed two important features. When CO<sub>2</sub> is encapsulated within C<sub>60</sub>, it gets destabilized as its binding energy is &#x2212;147&#xa0;kJ/mol. The Li<sub>3</sub>F<sub>2</sub> inside C<sub>60</sub> assumes trigonal bipyramidal (D<sub>3h</sub>) geometry with a binding energy of 119&#xa0;kJ/mol, unlike the free Li<sub>3</sub>F<sub>2</sub> linear cluster (see <xref ref-type="fig" rid="F1">Figure 1</xref>). Thus, C<sub>60</sub> strongly interacts with Li<sub>3</sub>F<sub>2</sub> and there is no reduction of C<sub>60</sub>.</p>
<p>The unforeseen result has been noticed on insertion of CO<sub>2</sub> inside Li<sub>3</sub>F<sub>2</sub>(D<sub>3</sub>h)@C<sub>60</sub> endofullerene, as displayed in <xref ref-type="fig" rid="F9">Figure 9</xref>. On the inspection of the geometry inside the C<sub>60</sub>, it was found that CO<sub>2</sub> has been activated by making a &#x2220;OCO 132&#xb0; and that the bond length of C-O has been increased to 1.20&#xa0;&#xc5;. The activation of CO<sub>2</sub> has been attained by the transfer of F atom from Li<sub>3</sub>F<sub>2</sub> to CO<sub>2</sub>, due to the F-C interaction with the bond distance of 1.38&#xa0;&#xc5;. Thus, the endo-reaction simulates a non-planar (trigonal pyramidal) FCO<sub>2</sub> interacting with the FLi<sub>3</sub>-like species (also shown in <xref ref-type="fig" rid="F9">Figure 9</xref>). There have been several studies [<xref ref-type="bibr" rid="B59">59</xref>, <xref ref-type="bibr" rid="B60">60</xref>] in which the structures and interactions between species are greatly modified by encapsulation within C<sub>60</sub>.</p>
<fig id="F9" position="float">
<label>FIGURE 9</label>
<caption>
<p>Equilibrium structures of [Li<sub>3</sub>F<sub>2</sub>-CO<sub>2</sub>]@C<sub>60</sub> endofullerene and Li<sub>3</sub>F<sub>2</sub>-CO<sub>2</sub> inside C<sub>60</sub> from <xref ref-type="bibr" rid="B44">Ref. 44</xref>.</p>
</caption>
<graphic xlink:href="fphy-10-870205-g009.tif"/>
</fig>
</sec>
<sec id="s2-7">
<title>Interaction With C<sub>6</sub>Li<sub>6</sub>: Capture and Storage of CO<sub>2</sub>
</title>
<p>Thus, the strong reducing power enables superalkalis to reduce CO<sub>2</sub> as well as several other molecules [<xref ref-type="bibr" rid="B61">61</xref>, <xref ref-type="bibr" rid="B62">62</xref>], So far, it has been found that the superalkalis are restricted to activate one CO<sub>2</sub> molecule per unit, that is, only one CO<sub>2</sub> molecule is reduced by a superalkali. This may limit the capture and storage of superalkalis for practical applications. Srivastava [<xref ref-type="bibr" rid="B63">63</xref>] reported that a single molecule of hexalithiobenzene (C<sub>6</sub>Li<sub>6</sub>) is not only capable of reducing but also capturing up to six CO<sub>2</sub> molecules sequentially using the &#x3c9;B97xD functional [<xref ref-type="bibr" rid="B64">64</xref>] and 6-311&#x2b;G(d) basis set in the Gaussian 09 program. The planar C<sub>6</sub>Li<sub>6</sub> molecule has equal ring bond lengths of 1.418&#xa0;&#xc5;, whose IE is reported to be lower than that of Li, thereby characterizing it as a superalkali molecule [<xref ref-type="bibr" rid="B25">25</xref>]. Note that planar star-like C<sub>6</sub>Li<sub>6</sub> has been previously studied by several groups [<xref ref-type="bibr" rid="B65">65</xref>&#x2013;<xref ref-type="bibr" rid="B67">67</xref>]. The sequential interaction of CO<sub>2</sub> molecules with C<sub>6</sub>Li<sub>6</sub> results in the C<sub>6</sub>Li<sub>6</sub>-<italic>n</italic>CO<sub>2</sub> complexes as displayed in <xref ref-type="fig" rid="F10">Figure 10</xref>.</p>
<fig id="F10" position="float">
<label>FIGURE 10</label>
<caption>
<p>Optimized structure of C<sub>6</sub>Li<sub>6</sub>-<italic>n</italic>CO<sub>2</sub> complexes (front and side views) for <italic>n</italic> &#x3d; 1&#x2013;6 from <xref ref-type="bibr" rid="B63">Ref. 63</xref> with the permission of Wiley.</p>
</caption>
<graphic xlink:href="fphy-10-870205-g010.tif"/>
</fig>
<p>The interaction between CO<sub>2</sub> and C<sub>6</sub>Li<sub>6</sub> is mediated by one C-C and two Li-O bonds in these complexes. The C<sub>6</sub>Li<sub>6</sub> ring moiety in C<sub>6</sub>Li<sub>6</sub>-<italic>n</italic>CO<sub>2</sub>is deviated from planarity due to the out-of-plane displacement of Li atoms because of the Coulomb-repulsion between neighboring Li-atoms for <italic>n</italic> &#x3d; 1, 2, 4, and 5. However, both C<sub>6</sub>Li<sub>6</sub>-3CO<sub>2</sub> and C<sub>6</sub>Li<sub>6</sub>-6CO<sub>2</sub> possess the perfect planar ring moiety, having equal bond lengths of 1.42&#xa0;&#xc5; and 1.40&#xa0;&#xc5;, respectively. The CO<sub>2</sub> moiety in C<sub>6</sub>Li<sub>6</sub>-CO<sub>2</sub> has a bond length and an angle of 1.26&#xa0;&#xc5; and 122.5&#xb0;, respectively. With an increase in the number of CO<sub>2</sub>, the average bond length and the average bond angle of CO<sub>2</sub> decrease and increase continuously up to 1.25&#xa0;&#xc5; and 125.2&#xb0;, respectively, for C<sub>6</sub>Li<sub>6</sub>-6CO<sub>2</sub>.</p>
<p>The activation of CO<sub>2</sub> leads to an increase in the bond length and a decrease in the bond angle by bending. <xref ref-type="table" rid="T2">Table 2</xref> lists the NBO charge (&#x2206;<italic>q</italic>) located at CO<sub>2</sub> moieties, adsorption (binding) energy (<italic>E</italic>
<sub>ad</sub>) per CO<sub>2</sub> molecule, and consecutive adsorption energy (&#x394;<italic>E</italic>
<sub>ad</sub>). It is clear that the &#x394;<italic>q</italic> of C<sub>6</sub>Li<sub>6</sub>-<italic>n</italic>CO<sub>2</sub> becomes &#x2212;0.83e, &#x2212;0.81e, &#x2212;0.79e, and &#x2212;0.77e for <italic>n</italic> &#x3d; 1&#x2013;3, <italic>n</italic> &#x3d; 4, <italic>n</italic> &#x3d; 5, and <italic>n</italic> &#x3d; 6, respectively. This suggests that C<sub>6</sub>Li<sub>6</sub> can be employed in the activation of all CO<sub>2</sub> molecules and, consequently, their adsorption. One can note that the <italic>E</italic>
<sub>ad</sub> values are fairly large, ranging from 3.18 to 2.79&#xa0;eV per CO<sub>2</sub>, which predicts the stability of these C<sub>6</sub>Li<sub>6</sub>-<italic>n</italic>CO<sub>2</sub> complexes. It is to be noticed that the adsorption of molecules is not feasible with negative &#x394;<italic>E</italic>
<sub>ad</sub> values, whereas sequential adsorption becomes feasible with positive &#x394;<italic>E</italic>
<sub>ad</sub> values. Thus, the study suggests that C<sub>6</sub>Li<sub>6</sub> is not only capable of activation but also effective in the sequential adsorption of six CO<sub>2</sub> molecules.</p>
<table-wrap id="T2" position="float">
<label>TABLE 2</label>
<caption>
<p>&#x3c9;B97xD/6-311&#x2b;G (d) calculated NBO charge on CO<sub>2</sub> (&#x394;<italic>q</italic>), adsorption energy per CO<sub>2</sub> (<italic>E</italic>
<sub>ad</sub>), and consecutive adsorption energy (&#x394;<italic>E</italic>
<sub>ad</sub>) for C<sub>6</sub>Li<sub>6</sub>-<italic>n</italic>CO<sub>2</sub> complexes taken from Ref. <xref ref-type="bibr" rid="B63">63</xref>.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">System</th>
<th align="center">&#x2206;<italic>q</italic> (e)</th>
<th align="center">
<italic>E</italic>
<sub>ad</sub> (eV)</th>
<th align="center">&#x394;<italic>E</italic>
<sub>ad</sub> (eV)</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">C<sub>6</sub>Li<sub>6</sub>-CO<sub>2</sub>
</td>
<td align="char" char=".">&#x2212;0.829</td>
<td align="char" char=".">3.18</td>
<td align="char" char=".">3.18</td>
</tr>
<tr>
<td align="left">C<sub>6</sub>Li<sub>6</sub>-2CO<sub>2</sub>
</td>
<td align="char" char=".">&#x2212;0.827</td>
<td align="char" char=".">3.16</td>
<td align="char" char=".">3.11</td>
</tr>
<tr>
<td align="left">C<sub>6</sub>Li<sub>6</sub>-3CO<sub>2</sub>
</td>
<td align="char" char=".">&#x2212;0.826</td>
<td align="char" char=".">3.31</td>
<td align="char" char=".">3.63</td>
</tr>
<tr>
<td align="left">C<sub>6</sub>Li<sub>6</sub>-4CO<sub>2</sub>
</td>
<td align="char" char=".">&#x2212;0.807</td>
<td align="char" char=".">3.07</td>
<td align="char" char=".">2.33</td>
</tr>
<tr>
<td align="left">C<sub>6</sub>Li<sub>6</sub>-5CO<sub>2</sub>
</td>
<td align="char" char=".">&#x2212;0.790</td>
<td align="char" char=".">2.91</td>
<td align="char" char=".">2.27</td>
</tr>
<tr>
<td align="left">C<sub>6</sub>Li<sub>6</sub>-6CO<sub>2</sub>
</td>
<td align="char" char=".">&#x2212;0.770</td>
<td align="char" char=".">2.79</td>
<td align="char" char=".">2.21</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
</sec>
<sec id="s3">
<title>Conclusion and Perspective</title>
<p>In summary, we have discussed the activation of CO<sub>2</sub> using various superalkalis. CO<sub>2</sub> is said to be activated when the charge is transferred to CO<sub>2</sub> from superalkali clusters, which ultimately results in the transformation of the linear structure of CO<sub>2</sub> to the bent structure of CO<sub>2</sub>
<sup>&#x2212;</sup>. Based on quantum chemical methods, CO<sub>2</sub> is successfully reduced to CO<sub>2</sub>
<sup>&#x2212;</sup> by using typical superalkalis (FLi<sub>2</sub>, OLi<sub>3</sub>, and NLi<sub>4</sub>), binuclear superalkali (Li<sub>3</sub>F<sub>2</sub>), special superalkalis (Al<sub>3</sub>, Mn(B<sub>3</sub>N<sub>3</sub>H<sub>6</sub>)<sub>2</sub>, B<sub>9</sub>C<sub>3</sub>H<sub>12</sub>, C<sub>5</sub>NH<sub>6</sub>), polynuclear superalkalis (Al<sub>12</sub>P, N<sub>4</sub>Mg<sub>6</sub>M), and non-metallic superalkalis (O<sub>2</sub>H<sub>5</sub> and N<sub>2</sub>H<sub>7</sub>). It was noticed that the amount of charge transfer depends on the electronic structure, size, and ionization energy of superalkalis. The activation of CO<sub>2</sub> by Li<sub>3</sub>F<sub>2</sub> inside C<sub>60</sub> fullerene has also been discussed. It was also revealed that the C<sub>6</sub>Li<sub>6</sub> molecule is not only capable of activating CO<sub>2</sub> but also capturing up to six CO<sub>2</sub> molecules. These results suggest that the superalkalis might be used as efficient catalysts for CO<sub>2</sub> activation. Thus, this activated CO<sub>2</sub> ion can be converted into fuel, such as methanol [<xref ref-type="bibr" rid="B68">68</xref>] <italic>via</italic> hydrogenation reaction.</p>
</sec>
</body>
<back>
<sec id="s4">
<title>Author Contributions</title>
<p>HS: literature survey, data collection, writing draft. AKS: conceptualization, supervision, editing, and finalizing the draft.</p>
</sec>
<sec sec-type="COI-statement" id="s5">
<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="s6">
<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 any claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
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