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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Chem.</journal-id>
<journal-title>Frontiers in Chemistry</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Chem.</abbrev-journal-title>
<issn pub-type="epub">2296-2646</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="publisher-id">733422</article-id>
<article-id pub-id-type="doi">10.3389/fchem.2021.733422</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Chemistry</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Role of Chemical Structure of Support in Enhancing the Catalytic Activity of a Single Atom Catalyst Toward NRR: A Computational Study</article-title>
<alt-title alt-title-type="left-running-head">Senthamaraikannan et&#x20;al.</alt-title>
<alt-title alt-title-type="right-running-head">N<sub>2</sub> Activation on SAC Supported on Functionalized Graphene</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Senthamaraikannan</surname>
<given-names>Thillai Govindaraja</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1385366/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Kaliaperumal</surname>
<given-names>Selvaraj</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Krishnamurty</surname>
<given-names>Sailaja</given-names>
</name>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1078651/overview"/>
</contrib>
</contrib-group>
<aff id="aff1">
<label>
<sup>1</sup>
</label>Department of Environmental Engineering, Chungbuk National University, <addr-line>Cheongju</addr-line>, <country>Korea</country>
</aff>
<aff id="aff2">
<label>
<sup>2</sup>
</label>Nano and Computational Material Lab, Catalysis Division, CSIR-National Chemical Laboratory, <addr-line>Pune</addr-line>, <country>India</country>
</aff>
<aff id="aff3">
<label>
<sup>3</sup>
</label>Physical Chemistry Division, CSIR-National Chemical Laboratory, <addr-line>Pune</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/189454/overview">Lalith Perera</ext-link>, National Institute of Environmental Health Sciences (NIEHS), United&#x20;States</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/395342/overview">Michael Springborg</ext-link>, Saarland University, Germany</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1277072/overview">Debdutta Chakraborty</ext-link>, KU Leuven, Belgium</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: Sailaja Krishnamurty, <email>k.sailaja@ncl.res.in</email>; Thillai Govindaraja Senthamaraikannan, <email>thillaincl@gmail.com</email>
</corresp>
<fn fn-type="other">
<p>This article was submitted to Theoretical and Computational Chemistry, a section of the journal Frontiers in Chemistry</p>
</fn>
</author-notes>
<pub-date pub-type="epub">
<day>08</day>
<month>09</month>
<year>2021</year>
</pub-date>
<pub-date pub-type="collection">
<year>2021</year>
</pub-date>
<volume>9</volume>
<elocation-id>733422</elocation-id>
<history>
<date date-type="received">
<day>30</day>
<month>06</month>
<year>2021</year>
</date>
<date date-type="accepted">
<day>12</day>
<month>08</month>
<year>2021</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2021 Senthamaraikannan, Kaliaperumal and Krishnamurty.</copyright-statement>
<copyright-year>2021</copyright-year>
<copyright-holder>Senthamaraikannan, Kaliaperumal and Krishnamurty</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>Using the periodic density functional theory&#x2013;based methodology, we propose a potential catalytic system for dinitrogen activation, viz., single metal atoms (Mo, Fe, and V) supported on graphene-based sheets. Graphene-based sheets show an excellent potential toward the anchoring of single atoms on them (Mo, Fe, and V) with adsorption energies ranging between 1.048 and 10.893&#xa0;eV. Factors such as defects and BN doping are noted to enhance the adsorption energies of single metal atoms on the support. The adsorption of a dinitrogen molecule on metal atom&#x2013;anchored graphene-based supports is seen to be highly favorable, ranging between 0.620 and 2.278&#xa0;eV. The adsorption is driven through a direct hybridization between the <italic>d</italic> orbitals of the metal atom (Mo, Fe, and V) on the support and the <italic>p</italic> orbital of the molecular nitrogen. Noticeably, BN-doped graphene supporting a single metal atom (Mo, Fe, and V) activates the N<sub>2</sub> molecule with a red shift in the N&#x2013;N stretching frequency (1,597&#xa0;cm<sup>&#x2212;1</sup> as compared to 2,330&#xa0;cm<sup>&#x2212;1</sup> in the free N<sub>2</sub> molecule). This red shift is corroborated by an increase in the N&#x2013;N bond length (1.23&#xa0;&#xc5; from 1.09&#xa0;&#xc5;) and charge transfer to an N<sub>2</sub> molecule from the catalyst.</p>
</abstract>
<kwd-group>
<kwd>N<sub>2</sub> activation</kwd>
<kwd>single metal atom</kwd>
<kwd>pristine graphene</kwd>
<kwd>defective graphene</kwd>
<kwd>BN-functionalized graphene</kwd>
</kwd-group>
</article-meta>
</front>
<body>
<fig id="F6" position="float">
<label>Graphical Abstract</label>
<caption>
<p>XXX</p>
</caption>
<graphic xlink:href="fchem-09-733422-g006.tif"/>
</fig>
<sec id="s1">
<title>Introduction</title>
<p>Ammonia is an important chemical substance for the agriculture, pharmaceuticals, and chemical industries. Natural and synthetic N<sub>2</sub> fixation is necessary for the existence of all forms of life on Earth. Though the availability of dinitrogen (N<sub>2</sub>) is abundant in air, it requires high energy for fixation and activation owing to its existence of inert triple bonds between nitrogen atoms. Currently, the well-known Haber&#x2013;Bosch process invented more than a century ago is used for converting dinitrogen (N<sub>2</sub>) in the atmosphere into NH<sub>3</sub> in the presence of the iron catalyst at an extreme temperature (500&#xb0;C) and pressure (200&#xa0;atm) (<xref ref-type="bibr" rid="B13">Fryzuk and Johnson, 2000</xref>). The energy- and carbon-intensive Haber&#x2013;Bosch process consumes 1&#x2013;2% global energy and, in addition, produces 3% of global CO<sub>2</sub> emission (<xref ref-type="bibr" rid="B6">Cherkasov et&#x20;al., 2015</xref>). Nevertheless, N<sub>2</sub> fixation can occur readily under mild conditions by nitrogenase mechanism, the enzyme secreted from very few prokaryotic organisms (<xref ref-type="bibr" rid="B17">Kim and Rees, 1992</xref>; <xref ref-type="bibr" rid="B38">Sellmann and Sutter, 1997</xref>; <xref ref-type="bibr" rid="B10">Einsle et&#x20;al., 2002</xref>). Researchers have demonstrated the occurrence of biological N<sub>2</sub> fixation under reasonable or mild conditions in the presence of nitrogenase enzymes, most preferably at the active sites that are rich in Fe and S and also additionally contain Mo or V atoms (<xref ref-type="bibr" rid="B8">Dance, 2008</xref>; <xref ref-type="bibr" rid="B41">St&#xfc;eken et&#x20;al., 2015</xref>; <xref ref-type="bibr" rid="B42">Tanabe and Nishibayashi, 2016</xref>), yet the through kinetics are still disputed. Consequently, exploring an efficient N<sub>2</sub> reduction catalyst in ammonia synthesis is the main challenge for the organo-metallic researchers. Naturally, N<sub>2</sub> fixation and activation require a potential catalytic active center to promote nitrogen reduction reaction, via electrons overlapping between the &#x3c3; bond of N<sub>2</sub> and the d orbital of the metal center, and the occupied d orbital overlaps with the empty &#x3c0;&#x2a; bond of N<sub>2</sub>, resulting in the activation of N<sub>2</sub> by a &#x3c0; bond back-donation mechanism.</p>
<p>On accounting for the quantum confinement of electrons, metal clusters are widely explored as catalysts. Using experimental and theoretical strategies, researchers have explored N<sub>2</sub> activation on potential inorganic metal clusters (<xref ref-type="bibr" rid="B37">Seh et&#x20;al., 2017</xref>; <xref ref-type="bibr" rid="B27">Liu et&#x20;al., 2018</xref>; <xref ref-type="bibr" rid="B44">Wang et&#x20;al., 2018</xref>). Significantly, <xref ref-type="bibr" rid="B16">Kerpal et&#x20;al. (2013</xref>) have evaluated dinitrogen (N<sub>2</sub>) activation using infrared multiphoton dissociation (IR-MPD) on neutral Ru clusters. Similarly, <xref ref-type="bibr" rid="B36">Roy et&#x20;al. (2009)</xref> have noticed the red-shifted N&#x2013;N bond stretching frequency around 810&#xa0;cm<sup>&#x2212;1</sup> on solid Li<sub>n</sub> (2 &#x3c; n &#x3c; 8) clusters, particularly the Li<sub>8</sub> metal cluster showing an exothermic trend in splitting the N&#x2013;N bond completely. In the midst of metal clusters for evaluating N<sub>2</sub> activation reaction, Al clusters play a remarkable role. Previously, Jarrold et&#x20;al. observed low energy barriers for N<sub>2</sub> activation on Al<sub>44</sub> and Al<sub>100</sub> clusters at high temperatures using concerted experimental and theoretical techniques (<xref ref-type="bibr" rid="B3">Cao et&#x20;al., 2010</xref>). Similarly, in another previous report by this group, N<sub>2</sub> activation potential was observed to be dependent on the phase and structure of the metal cluster (<xref ref-type="bibr" rid="B4">Cao et&#x20;al., 2009</xref>). During the course of N<sub>2</sub> activation mechanism, conformations with high energy display low energy potential toward the activation of the N<sub>2</sub> molecule (<xref ref-type="bibr" rid="B19">Kulkarni et&#x20;al., 2011</xref>). Nevertheless, excited state conformations are meta-stable in nature and are notably present only at some characteristic finite temperatures. Hence, there is an obvious demand for more reliable and stable ground state conformations for N<sub>2</sub> activation. Consequently, heteroatoms such as silicon and phosphorus doped on aluminum clusters appear to be a possible alternative and have better activation than their pristine aluminum clusters (<xref ref-type="bibr" rid="B9">Das et&#x20;al., 2014</xref>).</p>
<p>Moreover, an alternative and experimentally supported route&#x20;is to enhance the activity of metal-based catalysts by anchoring metal centers on 2D material supports such as graphene and BN, which offers a substantial support to the metal centers to adsorb&#x20;and activate the N<sub>2</sub> molecule. Moreover, specific activity per&#x20;metal atom increases by downsizing the&#x20;metals from nanoparticles to nanocrystals or hetero-nano framework (<xref ref-type="bibr" rid="B47">Yang et&#x20;al., 2013</xref>; <xref ref-type="bibr" rid="B5">Chen et&#x20;al., 2014</xref>). Single atom catalysts (SACs) have gained more attention in downsizing metals considerably and exhibit the potential of well-dispersed active single atom sites available for atomic utilization (<xref ref-type="bibr" rid="B35">Qiao et&#x20;al., 2011</xref>). Based on these circumstances, SACs exhibiting unique activity with high density of active sites&#x20;supported on 2D materials can make use of electron sharing for the activation of the inert dinitrogen molecule. A single transition-metal atom or atom clusters supported on N-doped graphene show good nitrogen reduction reaction (NRR) activity (<xref ref-type="bibr" rid="B7">Choi et&#x20;al., 2015</xref>; <xref ref-type="bibr" rid="B25">Li et&#x20;al., 2016</xref>; <xref ref-type="bibr" rid="B11">Fajardo and Peters, 2017</xref>; <xref ref-type="bibr" rid="B12">Fei et&#x20;al., 2018</xref>; <xref ref-type="bibr" rid="B46">Yan et&#x20;al., 2019</xref>). Systems such as&#x20;BiOBr nanosheets, boron anti-sites on BN nanotubes, and Mo-doped boron nitride (BN) have also been reported to have&#x20;high N<sub>2</sub> fixation potential (<xref ref-type="bibr" rid="B24">Li et&#x20;al., 2015</xref>; <xref ref-type="bibr" rid="B20">Kumar and&#x20;Subramanian, 2017</xref>; <xref ref-type="bibr" rid="B48">Zhao and Chen, 2017</xref>; <xref ref-type="bibr" rid="B23">L&#xe9;gar&#xe9; et&#x20;al., 2018</xref>).</p>
<p>In the midst of 2D materials, graphene-based supports attract enormous attention in numerous reactions such as water splitting, <xref ref-type="bibr" rid="B14">Guo et&#x20;al. (2018)</xref>, and hydrogen evolution reaction (HER) <xref ref-type="bibr" rid="B32">Ouyang et&#x20;al. (2018)</xref>. Few experimental groups reported N<sub>2</sub> fixation using a graphene-based catalytic support (<xref ref-type="bibr" rid="B15">Jeon et&#x20;al., 2013</xref>; <xref ref-type="bibr" rid="B28">Lu et&#x20;al., 2016</xref>; <xref ref-type="bibr" rid="B45">Yan et&#x20;al., 2018</xref>). Several computational investigations have also been explored using graphene-based nanomaterials for N<sub>2</sub> fixation to compare with the experimental findings. Le et&#x20;al. reported that the Mo/N-doped graphene-based support dissociates the N<sub>2</sub> molecule using the density functional theory (DFT) methodology (<xref ref-type="bibr" rid="B22">Le&#x20;et&#x20;al., 2014</xref>). In a similar approach, Li et&#x20;al. observed an N<sub>2</sub> molecule activation to nearly 2.5&#xa0;&#xc5; by fixing the FeN<sub>3</sub> molecule on a graphene support, in which nitrogen atoms are used as anchoring elements, while iron does the activation job in the FeN<sub>3</sub> molecule (<xref ref-type="bibr" rid="B25">Li et&#x20;al., 2016</xref>). <xref ref-type="bibr" rid="B21">Kumar et&#x20;al. (2016)</xref> reported N<sub>2</sub> activation using aluminum clusters doped on the BN-doped graphene support. The rare ability of certain transition complexes to bind to N<sub>2,</sub> which is attributed to their advantageous combination of unoccupied and occupied d-orbitals that have appropriate energy and symmetry to synergistically accept/back-donate electron density from/to&#x20;N<sub>2,</sub> can thus be contrived by giving the appropriate environment to a p-block element. In short, activation of N<sub>2</sub>&#x20;is performed by exploiting the electron reservoir property of 2D graphene-based materials. Recently, in our previous investigations, we identified the most active and recyclable SAC/B-graphene composite as the catalyst for NRR activity (<xref ref-type="bibr" rid="B29">Maibam et&#x20;al., 2019</xref>; <xref ref-type="bibr" rid="B30">Maibam and Krishnamurty, 2021</xref>). In the present work, using the density functional theory (DFT)-based methodology, we evaluate the possible dinitrogen activation by single metal atoms (Mo, Fe, and V) supported on graphene-based systems such as pristine graphene, defective graphene, BN-doped graphene, BNC-ring graphene, and BN-ring graphene as support materials.</p>
<sec id="s1-1">
<title>Computational Details</title>
<p>We use the Vienna Ab Initio Simulation Package (VASP) (<xref ref-type="bibr" rid="B18">Kresse and Furthmller, 1996)</xref> with the PBE functional (<xref ref-type="bibr" rid="B34">Perdew et&#x20;al., 1996)</xref> to perform all the first-principles calculations in the present work. The projected augmented wave (PAW) (<xref ref-type="bibr" rid="B2">Bl&#xf6;chl, 1994)</xref> method is employed using an energy cutoff of 520&#xa0;eV to describe the plane wave basis set. The two-dimensional graphene sheets are simulated using periodic boundary conditions. To avoid the interactions between the different nearest neighboring layers, a vacuum space of 20&#xa0;&#xc5; is created along the <italic>Z</italic>-direction. The 5&#x20;&#xd7; 5 supercell with 50 atoms is used as the graphene surface model, and the optimized C&#x2013;C bond length in the graphene sheet is 1.42&#xa0;&#xc5;.</p>
<p>Pristine graphene, defective graphene, BN-doped graphene, BNC-ring graphene, and BN-ring graphene are designed surface supports, and the structures are further optimized. The structural optimization of all geometries is carried out using the conjugate gradient method (<xref ref-type="bibr" rid="B33">Payne et&#x20;al., 1992</xref>). The Brillouin zone is sampled by a (2 &#xd7; 2&#xd7;1) K-point grid using the Monkhorst&#x2013;Pack scheme (<xref ref-type="bibr" rid="B31">Monkhorst and Pack, 1976</xref>). For density of states (DOS) calculations, Monkhorst and Pack generated a (9 &#xd7; 9&#xd7;1) set of K points.</p>
<p>The ground state geometries of single transition-metal clusters (Mo, Fe, and V) are adsorbed on the above-mentioned supports and the complexes optimized. The adsorption energy of Mo, V, and Fe on these supports is calculated as follows:<disp-formula id="equ1">
<mml:math id="m1">
<mml:mrow>
<mml:msub>
<mml:mtext>E</mml:mtext>
<mml:mrow>
<mml:mtext>ad</mml:mtext>
</mml:mrow>
</mml:msub>
<mml:msub>
<mml:mrow>
<mml:mtext>&#xa0;</mml:mtext>
<mml:mo>&#x3d;</mml:mo>
<mml:mtext>&#xa0;E</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mtext>M</mml:mtext>
<mml:mo>-</mml:mo>
<mml:mo>-</mml:mo>
<mml:mtext>system</mml:mtext>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:msub>
<mml:mi mathvariant="normal">&#x2212;</mml:mi>
<mml:msub>
<mml:mtext>E</mml:mtext>
<mml:mrow>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mtext>M</mml:mtext>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:msub>
<mml:mi mathvariant="normal">&#x2212;</mml:mi>
<mml:msub>
<mml:mtext>E</mml:mtext>
<mml:mrow>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mtext>system</mml:mtext>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:msub>
<mml:mtext>,</mml:mtext>
</mml:mrow>
</mml:math>
</disp-formula>where E<sub>(M--system)</sub> represents the energy of the optimized single transition-metal cluster (Mo, Fe, and V) and the designed surface supports. E<sub>(M)</sub> and E<sub>(system)</sub> represent the energy of a single metal and surface support, respectively.</p>
<p>Finally, the N<sub>2</sub> molecule is adsorbed on these active metal clusters (Mo, Fe, and V) on graphene-based surface supports.&#x20;A parallel mode of adsorption (both the nitrogen atoms are exposed to the metal) is used as this mode has been found to be more effective as compared to the vertical mode. In the vertical mode, only one N atom in the N<sub>2</sub> molecule interacts with the metal leading to weak activation (<xref ref-type="bibr" rid="B40">Song et&#x20;al., 2021</xref>).</p>
<p>The dissociated adsorption energy of the N<sub>2</sub> molecule on the catalytic systems is calculated as follows:<disp-formula id="equ2">
<mml:math id="m2">
<mml:mrow>
<mml:msub>
<mml:mtext>E</mml:mtext>
<mml:mrow>
<mml:mtext>ad</mml:mtext>
</mml:mrow>
</mml:msub>
<mml:msub>
<mml:mrow>
<mml:mtext>&#xa0;</mml:mtext>
<mml:mo>&#x3d;</mml:mo>
<mml:mtext>&#xa0;E</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mtext>N</mml:mtext>
<mml:mn>2</mml:mn>
<mml:mo>-</mml:mo>
<mml:mo>-</mml:mo>
<mml:mo>-</mml:mo>
<mml:mo>-</mml:mo>
<mml:mtext>M</mml:mtext>
<mml:mo>-</mml:mo>
<mml:mo>-</mml:mo>
<mml:mtext>system</mml:mtext>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:msub>
<mml:mi mathvariant="normal">&#x2212;</mml:mi>
<mml:msub>
<mml:mtext>E</mml:mtext>
<mml:mrow>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mtext>N</mml:mtext>
<mml:mn>2</mml:mn>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:msub>
<mml:mi mathvariant="normal">&#x2212;</mml:mi>
<mml:msub>
<mml:mtext>E</mml:mtext>
<mml:mrow>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mtext>M</mml:mtext>
<mml:mo>-</mml:mo>
<mml:mo>-</mml:mo>
<mml:mtext>system</mml:mtext>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:msub>
<mml:mtext>,</mml:mtext>
</mml:mrow>
</mml:math>
</disp-formula>where E<sub>(N2----M--system)</sub> represents the energy of the dissociated N<sub>2</sub> molecule on the catalytic systems. E<sub>(N2)</sub> and E<sub>(M--system)</sub> represent the energy of the N<sub>2</sub> molecule and metal-adsorbed various surface supports, respectively. Nudged elastic band (NEB) calculations were performed toward prediction of energy barrier of N<sub>2</sub> activation on metal-adsorbed BN-doped graphene-based substrates.</p>
</sec>
</sec>
<sec sec-type="results|discussion" id="s2">
<title>Results and Discussion</title>
<sec id="s2-1">
<title>Anchoring of Single Metal Atom (Mo, Fe, and V) on Various Graphene-Based Supports</title>
<p>Graphene-based 2D materials which act as an electron reservoir are used as the support for adsorbing the single atom cluster (Mo, Fe, and V) which increases the catalytic activity of the metal center. The five graphene-based supports are designed, viz., 1) pristine graphene (50 carbon atoms), 2) defective graphene (49 carbon atoms with a single vacancy at the center), 3) BN-doped graphene (4% heteroatom doping in which boron and nitrogen are substituted instead of carbon in the pristine graphene), 4) BNC-ring graphene (8% heteroatom doping), and 5) BN-ring graphene (12% heteroatom doping). All these graphene-based supports are designed and optimized to the local minima as shown in <xref ref-type="fig" rid="F1">Figure&#x20;1</xref>.</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>Optimized structure of <bold>(A)</bold> pristine graphene, <bold>(B)</bold> defective graphene, <bold>(C)</bold> BN-doped graphene, <bold>(D)</bold> BNC-ring graphene, and <bold>(E)</bold> BN-ring graphene (C, white; B, green; and N, blue).</p>
</caption>
<graphic xlink:href="fchem-09-733422-g001.tif"/>
</fig>
<p>Thus, we have tried to establish the relative reactivity of single atom clusters (Mo, Fe, and V) chemisorbed on the above-mentioned surfaces. The optimized structure of adsorption of Mo (gray), Fe (red), and V (purple) on various surface supports is shown in <xref ref-type="fig" rid="F2">Figure&#x20;2</xref>. The adsorption energy of a single metal atom (Mo, Fe, and V) on pristine graphene, defective graphene, BN-doped graphene, BNC-ring graphene, and BN-ring graphene is 4.653, 2.602, and 3.145&#xa0;eV; 10.893, 9.329, and 9.744&#xa0;eV; 3.929, 1.090, and 2.494&#xa0;eV; 3.864, 1.728, and 2.498&#xa0;eV; and 3.016, 1.048, and 1.467&#xa0;eV, respectively. Comparatively, the adsorption energy of Mo on the designed supports is &#x223c;2&#xa0;eV more due to its bulky nature with respect to other metals (Fe and V). Interestingly, the dangling carbon atoms at the center increase the adsorption energies for a defective graphene support better than the rest, and also the increase in the percentage of heteroatom (B and N) doping decreases the adsorption energies of the single metal atom on supports.</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>Optimized structure of adsorption of Mo (gray), Fe (red), and V (purple) on <bold>(A&#x2013;C)</bold> pristine graphene, <bold>(D&#x2013;F)</bold> defective graphene, <bold>(G&#x2013;I)</bold> BN-doped graphene, <bold>(J&#x2013;L)</bold> BNC-ring graphene, and <bold>(M&#x2013;O)</bold> BN-ring graphene.</p>
</caption>
<graphic xlink:href="fchem-09-733422-g002.tif"/>
</fig>
<p>The carbon&#x2013;metal (C&#x2013;M) interatomic distance of Mo, Fe, and V on pristine graphene, defective graphene, BN-doped graphene, and BNC-ring graphene is 2.200&#x2013;2.213, 2.069&#x2013;2.080, and 2.147&#x2013;2.170&#xa0;&#xc5;;1.932&#x2013;1.956, 1.766&#x2013;1.768, and 1.863&#x2013;1.873&#xa0;&#xc5;; 2.145&#x2013;2.261, 2.012&#x2013;2.473, and 2.079&#x2013;2.192&#xa0;&#xc5;; and 2.072&#x2013;2.305, 1.947&#x2013;2.148, and 2.072&#x2013;2.306&#xa0;&#xc5;, respectively. The boron&#x2013;metal (B&#x2013;M) interatomic distance of Mo, Fe, and V on BN-doped graphene, BNC-ring graphene, and BN-ring graphene is 2.258, 2.303, and 2.215&#xa0;&#xc5;; 2.279&#x2013;2.28, 2.106&#x2013;2.218, and 2.279&#x2013;2.28&#xa0;&#xc5;; and 2.216&#x2013;2.219, 2.063&#x2013;2.124, and 2.17&#x2013;2.227&#xa0;&#xc5;, respectively. The nitrogen&#x2013;metal (N&#x2013;M) interatomic distance of Mo, Fe, and V on BN-doped graphene, BNC-ring graphene, and BN-ring graphene is 2.211, 1.861, and 2.172&#xa0;&#xc5;; 2.224&#x2013;2.226, 2.01&#x2013;2.225, and 2.224&#x2013;2.226&#xa0;&#xc5;; and 2.267&#x2013;2.273, 2.073&#x2013;2.197, and 2.204&#x2013;2.226&#xa0;&#xc5;, respectively. The interatomic distances and adsorption energies of Mo, Fe, and V on various graphene-based supports are shown in <xref ref-type="table" rid="T1">Table&#x20;1</xref>. Thus, the significance of the result shows that the adsorption energies of a single metal atom on the surface support provide a stable and potential catalyst for N<sub>2</sub> activation. The total density of states and projected density of states of a single metal atom (Mo, Fe, and V) on graphene-based supports are shown in <xref ref-type="fig" rid="F3">Figure&#x20;3</xref>. The total density of states (TDOS) and partial density of states (PDOS) reveal that the d-states of a single metal atom (Mo, Fe, and V) strongly hybridize with the p-state of unsaturated carbon atoms and heteroatoms (B and N). The d-state of a single metal atom shows its maximum density of states between &#x2212;2 and 2&#xa0;eV. On comparing, the p-state of unsaturated carbon atoms is maximum in pristine and defective supports which reveals that, in the other three supports, the p-state of both boron and nitrogen is hybridized with the d-state of&#x20;metal.</p>
<table-wrap id="T1" position="float">
<label>TABLE 1</label>
<caption>
<p>Interatomic distances and adsorption energies of Mo, Fe, and V on various graphene-based supports (pristine graphene, defective graphene, BN-doped graphene, BNC-ring graphene, BN-ring graphene, and adsorption energy are abbreviated as prisgp, dfgp, BNgp, BNCgp, BNrg_gp, and E<sub>ad</sub>).</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">System</th>
<th align="center">C&#x2013;metal (&#xc5;)</th>
<th align="center">B&#x2013;metal (&#xc5;)</th>
<th align="center">N&#x2013;metal (&#xc5;)</th>
<th align="center">E<sub>ad</sub> (eV)</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">prisgp_Mo</td>
<td align="center">2.200&#x2013;2.213</td>
<td align="center">&#x2014;</td>
<td align="center">&#x2014;</td>
<td align="center">&#x2212;4.653</td>
</tr>
<tr>
<td align="left">prisgp_Fe</td>
<td align="center">2.069&#x2013;2.080</td>
<td align="center">&#x2014;</td>
<td align="center">&#x2014;</td>
<td align="center">&#x2212;2.602</td>
</tr>
<tr>
<td align="left">prisgp_V</td>
<td align="center">2.147&#x2013;2.170</td>
<td align="center">&#x2014;</td>
<td align="center">&#x2014;</td>
<td align="center">&#x2212;3.145</td>
</tr>
<tr>
<td align="left">dfgp_Mo</td>
<td align="center">1.932&#x2013;1.956</td>
<td align="center">&#x2014;</td>
<td align="center">&#x2014;</td>
<td align="center">&#x2212;10.893</td>
</tr>
<tr>
<td align="left">dfgp_Fe</td>
<td align="center">1.766&#x2013;1.768</td>
<td align="center">&#x2014;</td>
<td align="center">&#x2014;</td>
<td align="center">&#x2212;9.329</td>
</tr>
<tr>
<td align="left">dfgp_V</td>
<td align="center">1.863&#x2013;1.873</td>
<td align="left"/>
<td align="left"/>
<td align="center">&#x2212;9.744</td>
</tr>
<tr>
<td align="left">BNgp_Mo</td>
<td align="center">2.145&#x2013;2.261</td>
<td align="center">2.258</td>
<td align="center">2.211</td>
<td align="center">&#x2212;3.929</td>
</tr>
<tr>
<td align="left">BNgp_Fe</td>
<td align="center">2.012&#x2013;2.473</td>
<td align="center">2.303</td>
<td align="center">1.861</td>
<td align="center">&#x2212;1.090</td>
</tr>
<tr>
<td align="left">BNgp_V</td>
<td align="center">2.079&#x2013;2.192</td>
<td align="center">2.215</td>
<td align="center">2.172</td>
<td align="center">&#x2212;2.494</td>
</tr>
<tr>
<td align="left">BNCgp_Mo</td>
<td align="center">2.072&#x2013;2.305</td>
<td align="center">2.279&#x2013;2.28</td>
<td align="center">2.224&#x2013;2.226</td>
<td align="center">&#x2212;3.864</td>
</tr>
<tr>
<td align="left">BNCgp_Fe</td>
<td align="center">1.947&#x2013;2.148</td>
<td align="center">2.106&#x2013;2.218</td>
<td align="center">2.01&#x2013;2.225</td>
<td align="center">&#x2212;1.728</td>
</tr>
<tr>
<td align="left">BNCgp_V</td>
<td align="center">2.072&#x2013;2.306</td>
<td align="center">2.279&#x2013;2.28</td>
<td align="center">2.224&#x2013;2.226</td>
<td align="center">&#x2212;2.498</td>
</tr>
<tr>
<td align="left">BNrg_gp_Mo</td>
<td align="center">&#x2014;</td>
<td align="center">2.216&#x2013;2.219</td>
<td align="center">2.267&#x2013;2.273</td>
<td align="center">&#x2212;3.016</td>
</tr>
<tr>
<td align="left">BNrg_gp_Fe</td>
<td align="center">&#x2014;</td>
<td align="center">2.063&#x2013;2.124</td>
<td align="center">2.073&#x2013;2.197</td>
<td align="center">&#x2212;1.048</td>
</tr>
<tr>
<td align="left">BNrg_gp_V</td>
<td align="center">&#x2014;</td>
<td align="center">2.17&#x2013;2.227</td>
<td align="center">2.204&#x2013;2.226</td>
<td align="center">&#x2212;1.467</td>
</tr>
</tbody>
</table>
</table-wrap>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption>
<p>Total and projected density of states of Mo, Fe, and V on <bold>(A&#x2013;C)</bold> pristine graphene, <bold>(D&#x2013;F)</bold> defective graphene, <bold>(G&#x2013;I)</bold> BN-doped graphene, <bold>(J&#x2013;L)</bold> BNC-ring graphene, and <bold>(M&#x2013;O)</bold> BN-ring graphene.</p>
</caption>
<graphic xlink:href="fchem-09-733422-g003.tif"/>
</fig>
</sec>
<sec id="s2-2">
<title>N<sub>2</sub> Activation on Single Metal Atom (Mo, Fe, and V) Anchored on Various Graphene-Based Supports</title>
<p>The adsorption energies of N<sub>2</sub> on a single metal atom (Mo, Fe, and V) on pristine graphene, defective graphene, BN-doped graphene, BNC-ring graphene, and BN-ring graphene are 1.739, 1.334, and 1.996&#xa0;eV; 0.887, 0.620, and 0.628&#xa0;eV; 1.844, 2.278, and 1.988&#xa0;eV; 1.870, 1.544, and 2.116&#xa0;eV; and 1.868, 1.510, and 2.258&#xa0;eV, respectively. Comparatively, the adsorption energies of N<sub>2</sub> on a single metal atom (Mo, Fe, and V) on the defective graphene support are less compared to those on the rest of the support. Moreover, there is an eventual increase in adsorption energies of N<sub>2</sub> on V on supports (BN-doped graphene, BNC-ring graphene, and BN-ring graphene) due to more vacant <italic>d</italic> orbitals (less than half-filled), which is vice versa in Fe (more than half-filled <italic>d</italic> orbitals) on the same supports. The optimized structure of adsorption of N<sub>2</sub> on a single metal atom (Mo, Fe, and V) on various surface supports is shown in <xref ref-type="fig" rid="F4">Figure&#x20;4</xref>.</p>
<fig id="F4" position="float">
<label>FIGURE 4</label>
<caption>
<p>Optimized structure of the N<sub>2</sub> molecule adsorbed on Mo (gray), Fe (red), and V (purple) on various supports: <bold>(A&#x2013;C)</bold> pristine graphene, <bold>(D&#x2013;F)</bold> defective graphene, <bold>(G&#x2013;I)</bold> BN-doped graphene, <bold>(J&#x2013;L)</bold> BNC-ring graphene, and <bold>(M&#x2013;O)</bold> BN-ring graphene.</p>
</caption>
<graphic xlink:href="fchem-09-733422-g004.tif"/>
</fig>
<p>The carbon&#x2013;metal (C&#x2013;M) interatomic distance of N<sub>2</sub> on a single metal atom (Mo, Fe, and V) on pristine graphene, defective graphene, BN-doped graphene, and BNC-ring graphene is 2.228&#x2013;2.313, 2.077&#x2013;2.162, and 2.190&#x2013;2.264&#xa0;&#xc5;; 1.946&#x2013;2.013, 1.777&#x2013;1.847, and 1.871&#x2013;1.925&#xa0;&#xc5;; 2.194&#x2013;2.257, 2.096&#x2013;2.144, and 2.133&#x2013;2.234&#xa0;&#xc5;; and 2.111&#x2013;2.319, 2.004&#x2013;2.172, and 2.048&#x2013;2.241&#xa0;&#xc5;, respectively. The boron&#x2013;metal (B&#x2013;M) interatomic distance of N<sub>2</sub> on a single metal atom (Mo, Fe, and V) on BN-doped graphene, BNC-ring graphene, and BN-ring graphene is 2.313, 2.18, and 2.319&#xa0;&#xc5;; 2.316&#x2013;2.407, 2.219&#x2013;2.222, and 2.303&#x2013;2.342&#xa0;&#xc5;; and 2.244&#x2013;2.41, 2.141&#x2013;2.216, and 2.256&#x2013;2.371&#xa0;&#xc5;, respectively. The nitrogen&#x2013;metal (N<sub>doped</sub>&#x2013;M) interatomic distance of N<sub>2</sub> on a single metal atom (Mo, Fe, and V) on BN-doped graphene, BNC-ring graphene, and BN-ring graphene is 2.32, 2.202, and 2.223&#xa0;&#xc5;; 2.239&#x2013;2.328, 2.165&#x2013;2.173, and 2.23&#x2013;2.242&#xa0;&#xc5;; and 2.274&#x2013;2.341, 2.083&#x2013;2.234, and 2.264&#x2013;2.297&#xa0;&#xc5;, respectively.</p>
<p>The nitrogen&#x2013;metal (N<sub>ad</sub>&#x2013;M) interatomic distance of N<sub>2</sub> on a single metal atom (Mo, Fe, and V) on pristine graphene, defective graphene, BN-doped graphene, BNC-ring graphene, and BN-ring graphene is 2.039&#x2013;2.117, 1.92&#x2013;1.923, and 1.911&#x2013;1.994&#xa0;&#xc5;; 2.22&#x2013;2.221, 1.964&#x2013;2.078, and 2.161&#x2013;2.218&#xa0;&#xc5;; 2.027&#x2013;2.091, 1.902&#x2013;1.907, and 1.918&#x2013;2&#xa0;&#xc5;; 2&#x2013;2.057, 1.889&#x2013;1.89, and 1.908&#x2013;1.979&#xa0;&#xc5;; and 2&#x2013;2.068, 1.9, and 1.869&#x2013;1.928&#xa0;&#xc5;, respectively. The interatomic distances and adsorption energy of N<sub>2</sub> on a single metal atom (Mo, Fe, and V) on various substrate systems are shown in <xref ref-type="table" rid="T2">Table&#x20;2</xref>. The total density of states and projected density of states of N<sub>2</sub> on a single metal atom (Mo, Fe, and V) on the graphene-based support are shown in <xref ref-type="fig" rid="F5">Figure&#x20;5</xref>. The total density of states (TDOS) and partial density of states (PDOS) reveal that the d-states of a single metal atom (Mo, Fe, and V) hybridize with the p-state of adsorbed nitrogen as well as carbon, boron, and nitrogen atoms doped on the support. Thus, the d-state of a single metal atom shares its vacant orbital with the p-state of hybridizing&#x20;atoms.</p>
<table-wrap id="T2" position="float">
<label>TABLE 2</label>
<caption>
<p>Interatomic distances and adsorption energies of N<sub>2</sub> on Mo, V, and Fe on various graphene-based supports (pristine graphene, defective graphene, BN-doped graphene, BNC-ring graphene, BN-ring graphene, and adsorption energy are abbreviated as prisgp, dfgp, BNgp, BNCgp, BNrg_gp, and E<sub>ad</sub>).</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">System</th>
<th align="center">C&#x2013;metal (&#xc5;)</th>
<th align="center">B&#x2013;metal (&#xc5;)</th>
<th align="center">N<sub>doped</sub>&#x2013;metal (&#xc5;)</th>
<th align="center">N<sub>ad</sub>&#x2013;metal (&#xc5;)</th>
<th align="center">E<sub>ad</sub> (eV)</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td colspan="6" align="left"/>
</tr>
<tr>
<td align="left">prisgp_Mo</td>
<td align="char" char="ndash">2.228&#x2013;2.313</td>
<td align="center">&#x2014;</td>
<td align="center">&#x2014;</td>
<td align="center">2.039&#x2013;2.117</td>
<td align="char" char=".">&#x2212;1.739</td>
</tr>
<tr>
<td align="left">prisgp_Fe</td>
<td align="char" char="ndash">2.077&#x2013;2.162</td>
<td align="center">&#x2014;</td>
<td align="center">&#x2014;</td>
<td align="center">1.92&#x2013;1.923</td>
<td align="char" char=".">&#x2212;1.334</td>
</tr>
<tr>
<td align="left">prisgp_V</td>
<td align="char" char="ndash">2.190&#x2013;2.264</td>
<td align="center">&#x2014;</td>
<td align="center">&#x2014;</td>
<td align="center">1.911&#x2013;1.994</td>
<td align="char" char=".">&#x2212;1.996</td>
</tr>
<tr>
<td align="left">dfgp_Mo</td>
<td align="char" char="ndash">1.946&#x2013;2.013</td>
<td align="center">&#x2014;</td>
<td align="center">&#x2014;</td>
<td align="center">2.22&#x2013;2.221</td>
<td align="char" char=".">&#x2212;0.887</td>
</tr>
<tr>
<td align="left">dfgp_Fe</td>
<td align="char" char="ndash">1.777&#x2013;1.847</td>
<td align="center">&#x2014;</td>
<td align="center">&#x2014;</td>
<td align="center">1.964&#x2013;2.078</td>
<td align="char" char=".">&#x2212;0.620</td>
</tr>
<tr>
<td align="left">dfgp_V</td>
<td align="char" char="ndash">1.871&#x2013;1.925</td>
<td align="center">&#x2014;</td>
<td align="center">&#x2014;</td>
<td align="center">2.161&#x2013;2.218</td>
<td align="char" char=".">&#x2212;0.628</td>
</tr>
<tr>
<td align="left">BNgp_Mo</td>
<td align="char" char="ndash">2.194&#x2013;2.257</td>
<td align="center">2.313</td>
<td align="center">2.32</td>
<td align="center">2.027&#x2013;2.091</td>
<td align="char" char=".">&#x2212;1.844</td>
</tr>
<tr>
<td align="left">BNgp_Fe</td>
<td align="char" char="ndash">2.096&#x2013;2.144</td>
<td align="center">2.18</td>
<td align="center">2.202</td>
<td align="center">1.902&#x2013;1.907</td>
<td align="char" char=".">&#x2212;2.278</td>
</tr>
<tr>
<td align="left">BNgp_V</td>
<td align="char" char="ndash">2.133&#x2013;2.234</td>
<td align="center">2.319</td>
<td align="center">2.223</td>
<td align="center">1.918&#x2013;2</td>
<td align="char" char=".">&#x2212;1.988</td>
</tr>
<tr>
<td align="left">BNCgp_Mo</td>
<td align="char" char="ndash">2.111&#x2013;2.319</td>
<td align="center">2.316&#x2013;2.407</td>
<td align="center">2.239&#x2013;2.328</td>
<td align="center">2&#x2013;2.057</td>
<td align="char" char=".">&#x2212;1.870</td>
</tr>
<tr>
<td align="left">BNCgp_Fe</td>
<td align="char" char="ndash">2.004&#x2013;2.172</td>
<td align="center">2.219&#x2013;2.222</td>
<td align="center">2.165&#x2013;2.173</td>
<td align="center">1.889&#x2013;1.89</td>
<td align="char" char=".">&#x2212;1.544</td>
</tr>
<tr>
<td align="left">BNCgp_V</td>
<td align="char" char="ndash">2.048&#x2013;2.241</td>
<td align="center">2.303&#x2013;2.342</td>
<td align="center">2.23&#x2013;2.242</td>
<td align="center">1.908&#x2013;1.979</td>
<td align="char" char=".">&#x2212;2.116</td>
</tr>
<tr>
<td align="left">BNrg_gp_Mo</td>
<td align="center">&#x2014;</td>
<td align="center">2.244&#x2013;2.41</td>
<td align="center">2.274&#x2013;2.341</td>
<td align="center">2&#x2013;2.068</td>
<td align="char" char=".">&#x2212;1.868</td>
</tr>
<tr>
<td align="left">BNrg_gp_Fe</td>
<td align="center">&#x2014;</td>
<td align="center">2.141&#x2013;2.216</td>
<td align="center">2.083&#x2013;2.234</td>
<td align="center">1.9</td>
<td align="char" char=".">&#x2212;1.510</td>
</tr>
<tr>
<td align="left">BNrg_gp_V</td>
<td align="center">&#x2014;</td>
<td align="center">2.256&#x2013;2.371</td>
<td align="center">2.264&#x2013;2.297</td>
<td align="center">1.869&#x2013;1.928</td>
<td align="char" char=".">&#x2212;2.258</td>
</tr>
</tbody>
</table>
</table-wrap>
<fig id="F5" position="float">
<label>FIGURE 5</label>
<caption>
<p>Total and projected density of states of the N<sub>2</sub> molecule adsorbed on Mo, Fe, and V on various supports: <bold>(A&#x2013;C)</bold> pristine graphene, <bold>(D&#x2013;F)</bold> defective graphene, <bold>(G&#x2013;I)</bold> BN-doped graphene, <bold>(J&#x2013;L)</bold> BNC-ring graphene, and <bold>(M&#x2013;O)</bold> BN-ring graphene.</p>
</caption>
<graphic xlink:href="fchem-09-733422-g005.tif"/>
</fig>
</sec>
<sec id="s2-3">
<title>N&#x2013;N Bond Stretching Frequency Analysis on Designed Catalytic Systems</title>
<p>To probe the stretching frequency of the adsorbed N<sub>2</sub> molecule on a single metal atom (Mo, Fe, and V) on the graphene-based support, we investigated the spectral range of 1,300&#x2013;2,300&#xa0;cm<sup>&#x2212;1</sup>, which covers the typical frequencies of the different N<sub>2</sub> species known to exist on transition-metal surfaces. The stretching frequency of the unbound N<sub>2</sub> molecule is attributed to 2,330&#xa0;cm<sup>&#x2212;1</sup>, and the N&#x2013;N bond length is 1.09&#xa0;&#xc5; (<xref ref-type="bibr" rid="B39">Shi and Jacobi, 1992</xref>). The N&#x2013;N bond length and IR stretching frequency &#x3bd;(N&#x2013;N) of N<sub>2</sub> on a single metal atom (Mo, Fe, and V) on pristine graphene, defective graphene, BN-doped graphene, BNC-ring graphene, and BN-ring graphene are 1.20&#xa0;&#xc5; (1735&#xa0;cm<sup>&#x2212;1</sup>), 1.18&#xa0;&#xc5; (1823&#xa0;cm<sup>&#x2212;1</sup>), and 1.21&#xa0;&#xc5; (1,692&#xa0;cm<sup>&#x2212;1</sup>); 1.17&#xa0;&#xc5; (1907&#xa0;cm<sup>&#x2212;1</sup>), 1.16&#xa0;&#xc5; (2009&#xa0;cm<sup>&#x2212;1</sup>), and 1.16&#xa0;&#xc5; (1997&#xa0;cm<sup>&#x2212;1</sup>); 1.20&#xa0;&#xc5; (1701&#xa0;cm<sup>&#x2212;1</sup>), 1.19&#xa0;&#xc5; (1802&#xa0;cm<sup>&#x2212;1</sup>), and 1.20&#xa0;&#xc5; (1711&#xa0;cm<sup>&#x2212;1</sup>); 1.21&#xa0;&#xc5; (1,636&#xa0;cm<sup>&#x2212;1</sup>), 1.19&#xa0;&#xc5; (1777&#xa0;cm<sup>&#x2212;1</sup>), and 1.21&#xa0;&#xc5; (1,688&#xa0;cm<sup>&#x2212;1</sup>); and 1.21&#xa0;&#xc5; (1,666&#xa0;cm<sup>&#x2212;1</sup>), 1.19&#xa0;&#xc5; (1796&#xa0;cm<sup>&#x2212;1</sup>), and 1.23&#xa0;&#xc5; (1,597&#xa0;cm<sup>&#x2212;1</sup>), respectively.</p>
<p>The Bader charge analysis (<xref ref-type="bibr" rid="B1">Bader, 1991</xref>; <xref ref-type="bibr" rid="B43">Tang et&#x20;al., 2009)</xref> clearly demonstrates the charge redistribution between the activated nitrogen atoms and the active metal centered on support-based catalysts. The structural, electronic, and vibrational properties of various catalytic systems for N<sub>2</sub> activation are listed in <xref ref-type="table" rid="T3">Table&#x20;3</xref>. The N&#x2013;N stretching frequency, N&#x2013;N bond length, and charge on nitrogen of the N<sub>2</sub> molecule adsorbed on Mo, Fe, and V on various graphene supports are shown in <xref ref-type="sec" rid="s8">Supplementary Figure&#x20;S1</xref>.</p>
<table-wrap id="T3" position="float">
<label>TABLE 3</label>
<caption>
<p>Structural, electronic, and vibrational properties of various catalytic systems for N<sub>2</sub> activation (pristine graphene, defective graphene, BN-doped graphene, BNC-ring graphene, and BN-ring graphene are abbreviated as prisgp, dfgp, BNgp, BNCgp, and BNrg_gp).</p>
</caption>
<table>
<thead valign="top">
<tr>
<th rowspan="2" align="left">System</th>
<th align="center">N&#x2013;N bond length</th>
<th align="center">IR stretching</th>
<th rowspan="2" colspan="2" align="center">Charge on N<sub>2</sub> (e)</th>
</tr>
<tr>
<th align="center">(&#xc5;)</th>
<th align="center">(cm<sup>&#x2212;1</sup>)</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">prisgp_Mo</td>
<td align="char" char=".">1.2</td>
<td align="char" char=".">1735</td>
<td align="char" char=".">&#x2212;0.3239</td>
<td align="char" char=".">&#x2212;0.2274</td>
</tr>
<tr>
<td align="left">prisgp_Fe</td>
<td align="char" char=".">1.18</td>
<td align="char" char=".">1823</td>
<td align="char" char=".">&#x2212;0.1556</td>
<td align="char" char=".">&#x2212;0.3095</td>
</tr>
<tr>
<td align="left">prisgp_V</td>
<td align="char" char=".">1.21</td>
<td align="char" char=".">1,692</td>
<td align="char" char=".">&#x2212;0.4328</td>
<td align="char" char=".">&#x2212;0.1847</td>
</tr>
<tr>
<td align="left">dfgp_Mo</td>
<td align="char" char=".">1.17</td>
<td align="char" char=".">1907</td>
<td align="char" char=".">&#x2212;0.3055</td>
<td align="char" char=".">&#x2212;0.1237</td>
</tr>
<tr>
<td align="left">dfgp_Fe</td>
<td align="char" char=".">1.16</td>
<td align="char" char=".">2009</td>
<td align="char" char=".">&#x2212;0.1954</td>
<td align="char" char=".">&#x2212;0.1228</td>
</tr>
<tr>
<td align="left">dfgp_V</td>
<td align="char" char=".">1.16</td>
<td align="char" char=".">1997</td>
<td align="char" char=".">&#x2212;0.1359</td>
<td align="char" char=".">&#x2212;0.1935</td>
</tr>
<tr>
<td align="left">BNgp_Mo</td>
<td align="char" char=".">1.2</td>
<td align="char" char=".">1701</td>
<td align="char" char=".">&#x2212;0.2088</td>
<td align="char" char=".">&#x2212;0.363</td>
</tr>
<tr>
<td align="left">BNgp_Fe</td>
<td align="char" char=".">1.19</td>
<td align="char" char=".">1802</td>
<td align="char" char=".">&#x2212;0.2152</td>
<td align="char" char=".">&#x2212;0.252</td>
</tr>
<tr>
<td align="left">BNgp_V</td>
<td align="char" char=".">1.2</td>
<td align="char" char=".">1711</td>
<td align="char" char=".">&#x2212;0.2733</td>
<td align="char" char=".">&#x2212;0.3433</td>
</tr>
<tr>
<td align="left">BNCgp_Mo</td>
<td align="char" char=".">1.21</td>
<td align="char" char=".">1,636</td>
<td align="char" char=".">&#x2212;0.2783</td>
<td align="char" char=".">&#x2212;0.3213</td>
</tr>
<tr>
<td align="left">BNCgp_Fe</td>
<td align="char" char=".">1.19</td>
<td align="char" char=".">1777</td>
<td align="char" char=".">&#x2212;0.2714</td>
<td align="char" char=".">&#x2212;0.2093</td>
</tr>
<tr>
<td align="left">BNCgp_V</td>
<td align="char" char=".">1.21</td>
<td align="char" char=".">1,688</td>
<td align="char" char=".">&#x2212;0.2711</td>
<td align="char" char=".">&#x2212;0.352</td>
</tr>
<tr>
<td align="left">BNrg_gp_Mo</td>
<td align="char" char=".">1.21</td>
<td align="char" char=".">1,666</td>
<td align="char" char=".">&#x2212;0.2584</td>
<td align="char" char=".">&#x2212;0.3194</td>
</tr>
<tr>
<td align="left">BNrg_gp_Fe</td>
<td align="char" char=".">1.19</td>
<td align="char" char=".">1796</td>
<td align="char" char=".">&#x2212;0.314</td>
<td align="char" char=".">&#x2212;0.1728</td>
</tr>
<tr>
<td align="left">BNrg_gp_V</td>
<td align="char" char=".">1.23</td>
<td align="char" char=".">1,597</td>
<td align="char" char=".">&#x2212;0.2666</td>
<td align="char" char=".">&#x2212;0.4262</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>As a case study, the potential of the Mo-adsorbed BN-doped graphene catalyst for the activation of N<sub>2</sub> is discussed in <xref ref-type="sec" rid="s8">Supplementary Figure S2</xref>. NEB calculation is performed in between these reactants and products to confirm the N<sub>2</sub> activation energy barrier. Mo-adsorbed BN-doped graphene and gaseous nitrogen are considered reactants. Thus, the Mo-adsorbed BN-doped graphene catalyst shows more feasible N<sub>2</sub> activation with an effective energy barrier of 3.21&#xa0;eV. The activation barrier plot of&#x20;the N<sub>2</sub> molecule adsorbed on Mo on the BN-doped graphene support is shown in <xref ref-type="sec" rid="s8">Supplementary Figure S2</xref> (<xref ref-type="bibr" rid="B26">Liu et&#x20;al., 2021</xref>).</p>
</sec>
</sec>
<sec sec-type="conclusion" id="s3">
<title>Conclusion</title>
<p>In this work, we explore the potential of various graphene-based 2D materials, viz., pristine, defective, BN-doped graphene, etc., as a support for a single atom cluster (Mo, Fe, and V). These graphene-based supports show excellent potential toward the anchoring of a single atom cluster (Mo, Fe, and V) with adsorption energies ranging between 1.048 and 10.893&#xa0;eV. Thus, the adsorption energies vary substantially with respect to the graphene-based supports, viz., pristine, defective, BN doped, etc. This is attributed to the size and nature of hybridization between the <italic>d</italic> orbitals of the interacting single metal atom (Mo, Fe, and V) and the <italic>sp</italic>
<sup>
<italic>2</italic>
</sup> orbitals of unsaturated carbon atoms of various designed graphene-based supports. The catalytic performance of a single metal atom (Mo, Fe, and V) on graphene-supported catalysts is explored for the activation of molecular nitrogen. The adsorption energies of the nitrogen molecule on a graphene-supported single atom cluster (Mo, Fe, and V) range between 0.620 and 2.278&#xa0;eV, which is attributed to the interacting environment of the active metal centered on the support and the <italic>p</italic> orbital of adsorbed molecular nitrogen. Bader charge and density of states analyses corroborate an enhanced hybridization between the <italic>d</italic> states of the single metal atoms (Mo, Fe, and V) and adsorbed molecular nitrogen for activation. The N&#x2013;N stretching frequencies are found which are considerably red-shifted ranging from 2009&#xa0;cm<sup>&#x2212;1</sup> (1.16&#xa0;&#xc5;) to 1,597&#xa0;cm<sup>&#x2212;1</sup> (1.23&#xa0;&#xc5;) compared to that of the unbound N<sub>2</sub> molecule (2,330&#xa0;cm<sup>&#x2212;1</sup> (1.09&#xa0;&#xc5;)). Thus, from the results, we understood that even a single metal atom (Mo, Fe, and V) with functionalized (BN-doped) graphene supports can highlight the excellent potential for nitrogen activation.</p>
</sec>
</body>
<back>
<sec id="s4">
<title>Data Availability Statement</title>
<p>The original contributions presented in the study are included in the article/<xref ref-type="sec" rid="s8">Supplementary Material</xref>, and further inquiries can be directed to the corresponding authors.</p>
</sec>
<sec id="s5">
<title>Author Contributions</title>
<p>SaK conceptualized the research idea. TS investigated the data and wrote the original draft. TS, SeK, and SaK were involved in formal analysis. TS and SaK validated the results and reviewed and edited the paper. SeK and SaK supervised the work. SeK was involved in funding acquisition and project administration.</p>
</sec>
<sec id="s6">
<title>Funding</title>
<p>DST-SERB funded the N-PDF (National Post-Doctoral Fellowship) (File Number: PDF/2016/002785).</p>
</sec>
<sec sec-type="COI-statement" id="s7">
<title>Conflict of Interest</title>
<p>The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
</sec>
<sec sec-type="disclaimer" id="s8">
<title>Publisher&#x2019;s Note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
<ack>
<p>TS acknowledges DST-SERB for funding the N-PDF (National Post-Doctoral Fellowship) and Pragnya for supporting with activation barrier calculations. SK and SK both acknowledge the High-Performance Computing facility provided by CSIR-NCL, Pune, and CSIR-4PI, Bangalore. The authors dedicate this article to Sourav Pal for his landmark contributions in the area of computational chemistry in catalysis. He is an excellent teacher and a wonderful guide who has inspired many generations of students.</p>
</ack>
<sec id="s9">
<title>Supplementary Material</title>
<p>The Supplementary Material for this article can be found online at: <ext-link ext-link-type="uri" xlink:href="https://www.frontiersin.org/articles/10.3389/fchem.2021.733422/full#supplementary-material">https://www.frontiersin.org/articles/10.3389/fchem.2021.733422/full&#x23;supplementary-material</ext-link>
</p>
<supplementary-material xlink:href="DataSheet1.docx" id="SM1" mimetype="application/docx" xmlns:xlink="http://www.w3.org/1999/xlink"/>
</sec>
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