<?xml version="1.0" encoding="UTF-8"?><!DOCTYPE article PUBLIC "-//NLM//DTD Journal Publishing DTD v3.0 20080202//EN" "http://dtd.nlm.nih.gov/publishing/3.0/journalpublishing3.dtd">
<article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" dtd-version="3.0" xml:lang="en" article-type="research article">
 <front>
  <journal-meta>
   <journal-id journal-id-type="publisher-id">
    cc
   </journal-id>
   <journal-title-group>
    <journal-title>
     Computational Chemistry
    </journal-title>
   </journal-title-group>
   <issn pub-type="epub">
    2332-5968
   </issn>
   <issn publication-format="print">
    2332-5984
   </issn>
   <publisher>
    <publisher-name>
     Scientific Research Publishing
    </publisher-name>
   </publisher>
  </journal-meta>
  <article-meta>
   <article-id pub-id-type="doi">
    10.4236/cc.2025.134005
   </article-id>
   <article-id pub-id-type="publisher-id">
    cc-145431
   </article-id>
   <article-categories>
    <subj-group subj-group-type="heading">
     <subject>
      Articles
     </subject>
    </subj-group>
    <subj-group subj-group-type="Discipline-v2">
     <subject>
      Chemistry 
     </subject>
     <subject>
       Materials Science
     </subject>
    </subj-group>
   </article-categories>
   <title-group>
    Computational Studies on Keto-Enol Tautomerism of Mesoxaldehyde, 1,2-Bis-Phenyl Hydrazone (MBPH) in the Gas Phase Using HF and DFT Methods, to Investigate the Possibility of Using This Structure for the Synthesis of Different Heterocyclic Compounds, Confirmed by Spectral Tools
   </title-group>
   <contrib-group>
    <contrib contrib-type="author" xlink:type="simple">
     <name name-style="western">
      <surname>
       Sohila H.
      </surname>
      <given-names>
       Mancy
      </given-names>
     </name> 
     <xref ref-type="aff" rid="aff1"> 
      <sup>1</sup>
     </xref>
    </contrib>
    <contrib contrib-type="author" xlink:type="simple">
     <name name-style="western">
      <surname>
       Mohamed A. El
      </surname>
      <given-names>
       Sekily
      </given-names>
     </name> 
     <xref ref-type="aff" rid="aff2"> 
      <sup>2</sup>
     </xref>
    </contrib>
    <contrib contrib-type="author" xlink:type="simple">
     <name name-style="western">
      <surname>
       Nagwa M. M.
      </surname>
      <given-names>
       Hamada
      </given-names>
     </name> 
     <xref ref-type="aff" rid="aff1"> 
      <sup>1</sup>
     </xref>
    </contrib>
   </contrib-group> 
   <aff id="aff1">
    <addr-line>
     aDepartment of Physics and Chemistry, Faculty of Education, University of Alexandria, Alexandria, Egypt
    </addr-line> 
   </aff> 
   <aff id="aff2">
    <addr-line>
     aDepartment of Chemistry, Faculty of Science, University of Alexandria, Alexandria, Egypt
    </addr-line> 
   </aff> 
   <pub-date pub-type="epub">
    <day>
     29
    </day> 
    <month>
     08
    </month>
    <year>
     2025
    </year>
   </pub-date> 
   <volume>
    13
   </volume> 
   <issue>
    04
   </issue>
   <fpage>
    102
   </fpage>
   <lpage>
    133
   </lpage>
   <history>
    <date date-type="received">
     <day>
      15,
     </day>
     <month>
      July
     </month>
     <year>
      2025
     </year>
    </date>
    <date date-type="published">
     <day>
      5,
     </day>
     <month>
      July
     </month>
     <year>
      2025
     </year> 
    </date> 
    <date date-type="accepted">
     <day>
      5,
     </day>
     <month>
      September
     </month>
     <year>
      2025
     </year> 
    </date>
   </history>
   <permissions>
    <copyright-statement>
     © Copyright 2014 by authors and Scientific Research Publishing Inc. 
    </copyright-statement>
    <copyright-year>
     2014
    </copyright-year>
    <license>
     <license-p>
      This work is licensed under the Creative Commons Attribution International License (CC BY). http://creativecommons.org/licenses/by/4.0/
     </license-p>
    </license>
   </permissions>
   <abstract>
    In this article, the optimized geometries of six possible tautomers of mesoxaldehyde 2,3-bis-phenyl hydrazone (MBPH) 
    <b>(1)</b> have been studied in the gas phase by ab initio Hartree-Fock (HF) and density Functional theories DFT with different levels of theory, B3LYP, B3PW91, WB97XD, with 6-311G(d,p) basis set. The different conformers of the compound were studied using the B3LYP functional with a 6-311G(d,p) basis set. Optimum molecular geometries, electronic properties, and energetics of these systems have been discussed as the energy gap was determined using HOMO and LUMO energy values. Also, the reactivity descriptors such as Hardness (η), Softness (1/η), electronegativity index (χ), Chemical potential (μ), Electrophilicity (ω = ��2/2��), and Nucleophilicity
    <b> (</b>E
    <sub>HOMO</sub> + 9.12), indicate the electrophilic and nucleophilic nature of the different tautomers. The most stable conformer with the minimum energy was identified. This conformer was used for further computations, and electrophilic and nucleophilic regions have been identified with the aid of an MESP plot. The contour map shows electron density flow in the molecule. Thermodynamic properties and tautomeric equilibria between different tautomers were calculated using frequency calculations. Finally, mesoxaldehyde is used as a starting material to synthesize new heterocycles identified by different spectral tools.
   </abstract>
   <kwd-group> 
    <kwd>
     Mesoxaldehyde
    </kwd> 
    <kwd>
      HOMO
    </kwd> 
    <kwd>
      Hatree-Fock
    </kwd> 
    <kwd>
      MESP
    </kwd> 
    <kwd>
      B3LYP
    </kwd> 
    <kwd>
      B3PW91
    </kwd> 
    <kwd>
      WB97XD
    </kwd>
   </kwd-group>
  </article-meta>
 </front>
 <body>
  <sec id="s1">
   <title>1. Introduction</title>
   <p>
    <xref ref-type="bibr" rid="scirp.145431-"></xref>Quantum chemistry calculations are a rapid and inexpensive alternative to experimental techniques for obtaining many properties. They are widely used both as predictive tools and to confirm or explain experimental results <xref ref-type="bibr" rid="scirp.145431-1">
     [1]
    </xref>-<xref ref-type="bibr" rid="scirp.145431-3">
     [3]
    </xref>. However, Computational chemistry is today’s most rapidly expanding and exciting area of scientific research. Quantum chemical ab initio programs have been used by the principles of quantum mechanics to obtain properties of molecular geometries, vibrational frequencies, barriers to rotation, ionization potentials, electron affinities, and many other properties <xref ref-type="bibr" rid="scirp.145431-4">
     [4]
    </xref>. Hartree-Fock theory, developed by D.R. Hartree <xref ref-type="bibr" rid="scirp.145431-5">
     [5]
    </xref> and V. Fock <xref ref-type="bibr" rid="scirp.145431-6">
     [6]
    </xref>, is an ab initio method used to obtain approximate solutions of quantum many-body systems. Since the instantaneous Coulomb electron-electron repulsion is not considered, HF is the simplest type of ab initio electronic structure calculation. The approximate energies of a system obtained by HF theory are always equal to or larger than the exact energy . However, due to electron exchange and correlation effects being ignored, the computational cost or time is low for HF method. In many types of computations, HF is usually the first calculation performed. Then, the results are corrected by applying methods that include the effects of electron-electron repulsion <xref ref-type="bibr" rid="scirp.145431-7">
     [7]
    </xref> <xref ref-type="bibr" rid="scirp.145431-8">
     [8]
    </xref>. DFT is one such method that includes electron exchange and correlation. Density functional theory (DFT), which was started by P. Hohenberg and W. Kohn in 1964 <xref ref-type="bibr" rid="scirp.145431-9">
     [9]
    </xref>, is a theory in which electronic ground state energy is based on the electron density distribution n (r). <xref ref-type="bibr" rid="scirp.145431-10">
     [10]
    </xref>. It suffices to know the average number of electrons located at any one point in space, or the density of electrons, which largely reduces the degree of freedom and makes the computation much simpler. This simplicity makes it possible to study very large molecular systems. By including some of the effects of electron correlation, DFT methods have much more accuracy than HF theory at a modest increase in computational cost. <xref ref-type="bibr" rid="scirp.145431-11">
     [11]
    </xref>. Various functionals have been defined by exchange and correlation components i.e., local exchange and correlation functionals, and gradient-corrected functionals. Gradient-corrected exchange functional B proposed by Becke in 1988 <xref ref-type="bibr" rid="scirp.145431-12">
     [12]
    </xref> and the widely used gradient-corrected correlation functional LYP developed by Lee, Yang, and Parr <xref ref-type="bibr" rid="scirp.145431-13">
     [13]
    </xref> <xref ref-type="bibr" rid="scirp.145431-14">
     [14]
    </xref> form the famous B-LYP method. The DFT method used in the present study is B3LYP functional, which denotes Becke, three-parameter hybrid, Lee-Yang-Parr exchange-correlation functional. It is important to calculate the number of basis functions used to describe a molecule, as it proves useful for estimating the computational time. Splitting the valence is the first way to accomplish an increase in the size of the basis set; it is done by increasing the number of basis functions per atom. For example, 6-311G is a triple split valence basis, in which the core orbitals are a contraction of six Gaussian type functions, and the valence split into three functions, represented by a contraction of three, one, and one, Gaussian type functions, respectively <xref ref-type="bibr" rid="scirp.145431-15">
     [15]
    </xref>. In the present work we have investigated theoretically the optimized geometries, vibrational spectra, thermodynamic properties, dipole movements and global descriptors of mesoxaldehyde tautomers, as a carbonyl compound by performing HF and DFT calculations. The reaction patterns of the specific classes of carbonyl compounds are related by the importance of tetrahedral intermediates, and differences in reactivity can often be traced to structural features present in those intermediates. In broad terms, there are three possible mechanisms for the addition of a nucleophile and a proton to give a tetrahedral intermediate in a carbonyl addition reaction <xref ref-type="bibr" rid="scirp.145431-16">
     [16]
    </xref>.</p>
   <p>a) Protonation followed by nucleophilic attack on the protonated carbonyl group:</p>
   <fig id="fig1" position="float">
    <label>Figure 1</label>
    <caption>
     <title>b) Nucleophilic addition at the carbonyl group followed by protonation:<p class="imgGroupCss_v"><img class=" imgMarkCss lazy" data-original="https://html.scirp.org/file/1710193-rId16.jpeg?20250908120432" /></p>c) Concerted proton transfer and nucleophilic attack:<p class="imgGroupCss_v"><img class=" imgMarkCss lazy" data-original="https://html.scirp.org/file/1710193-rId17.jpeg?20250908120433" /></p>The nucleophile is shown as an anion, but can also be a neutral species, in which case a proton is subsequently lost. Additionally, it is well known that aliphatic carbonyl compounds, which have alpha hydrogens attached to the carbonyl group, undergo keto-enol tautomerism (<xref ref-type="fig" rid="fig1">
       Figure 1
      </xref>).<p class="imgGroupCss_v"><img class=" imgMarkCss lazy" data-original="https://html.scirp.org/file/1710193-rId18.jpeg?20250908120433" /></p><xref ref-type="bibr" rid="scirp.145431-"></xref>Figure 1. Keto-enol tautomerism.</title>
    </caption>
    <graphic mimetype="image" position="float" xlink:type="simple" xlink:href="https://html.scirp.org/file/1710193-rId15.jpeg?20250908120434" />
   </fig>
   <p>It has been reported that mesoxaldehyde 1,2-bis phenylhydrazone (1) was obtained from sugar phenyl osazones on oxidation with periodic acid. It was interesting to study the type of chelation in (1).</p>
   <fig id="fig2" position="float">
    <label>Figure 2</label>
    <caption>
     <title>Since the imino proton of the phenyl hydrazone residue on C-2 could form a chelated ring <xref ref-type="bibr" rid="scirp.145431-17">
       [17]
      </xref>, this attracts our attention to the computational study of the keto-enol tautomerism of mesoxaldehyde-1,2-bis phenyl hydrazone (1), and also uses it as a starting compound to obtain some different heterocycles, which can be identified with different spectral tools.In an intramolecular hydrogen bond (IHB) system, both proton donor and proton acceptor groups, which may be of various kinds of functional groups, are located in the same molecule. The interaction of these functional groups may result in a ring-like structure that is often referred to as a chelated ring. The cis-enol forms of β-diketone, β-aminoenone, and β-enaminoimine molecules are engaged in such a hydrogen bond system and could be stabilized by a six-membered chelated ring <xref ref-type="bibr" rid="scirp.145431-18">
       [18]
      </xref>-<xref ref-type="bibr" rid="scirp.145431-20">
       [20]
      </xref>. Formation of IHB in these systems leads to an enhancement of resonance conjugation in the π-electron system. This kind of hydrogen bond was named by Gilli et al. <xref ref-type="bibr" rid="scirp.145431-21">
       [21]
      </xref> as a resonance-assisted hydrogen bond (RAHB). Formation of this kind of hydrogen bond causes an obvious affinity for bond equalization of the valence bonds in the resulting chelated ring.2. Computational Methods<xref ref-type="bibr" rid="scirp.145431-"></xref>The ab initio and density functional theory methods were used to optimize the geometry of the six tautomers of mesoxaldehyde. The optimization processing was carried out with the aid of the Gaussian 09 W package <xref ref-type="bibr" rid="scirp.145431-22">
       [22]
      </xref>. Hartree Fock (HF) of ab initio methods <xref ref-type="bibr" rid="scirp.145431-23">
       [23]
      </xref> and Becke’s three parameters exact exchange functional (B3) <xref ref-type="bibr" rid="scirp.145431-24">
       [24]
      </xref> combined with gradient corrected correlation functional of Lee-Yang-Parr (LYP) <xref ref-type="bibr" rid="scirp.145431-25">
       [25]
      </xref>, Perdew and Wang’s 1991 (PW91) <xref ref-type="bibr" rid="scirp.145431-26">
       [26]
      </xref> and the range separated hybrid WB97XD <xref ref-type="bibr" rid="scirp.145431-27">
       [27]
      </xref> of DFT method were employed to optimize the tautomers by using the 6-311G* basis set.. All calculations are performed on a Pentium IV/3.02 GHz personal computer. No imaginary frequency has been recorded during the optimization process, and we have not applied any constraints. Gauss View 5.0 and Chemcraft programs <xref ref-type="bibr" rid="scirp.145431-28">
       [28]
      </xref> <xref ref-type="bibr" rid="scirp.145431-29">
       [29]
      </xref> have been used to extract the computation results and to visualize the optimization structures as well as to draw the frontier molecular orbital (FMOs), molecular electrostatic potential (MEP) maps <xref ref-type="bibr" rid="scirp.145431-30">
       [30]
      </xref>. The electronic absorption spectra for the optimized molecule were calculated with the time-dependent SCF (TD-SCF) theory at the B3LYP/6-311G(d,p) level in chloroform and ethanol. The harmonic vibrational frequencies were calculated using the analytical second derivatives at the HF/6-311G and B3LYP/6-311G level of theory. The thermodynamic functions, such as the heat capacity, entropy, and enthalpy, were calculated from the vibrational frequencies calculated using the same method and basis set. Several structural parameters are selected from the results of quantum computation such as Mulliken electron population, highest occupied molecular orbital energy (E<sub>HOMO</sub>), lowest unoccupied molecular orbital energy (E<sub>LUMO</sub>), and energy gap (E<sub>gap</sub>), For further investigation, excellent tools to describe the reactivity and stability of compounds <xref ref-type="bibr" rid="scirp.145431-31">
       [31]
      </xref>-<xref ref-type="bibr" rid="scirp.145431-33">
       [33]
      </xref> included selective parameters such as ionization energy (IP), and electron affinity electrophilicity index (ω). These parameters are used to analyze reactivity <xref ref-type="bibr" rid="scirp.145431-34">
       [34]
      </xref> at the electrophilic sites in the compound (1).3. Results and DiscussionThe phenomenon of keto-enol equilibrium is called “Tautomerism”, and the forms are known as tautomers. The keto-enol equilibrium depends on the electronic features of the substituents, temperature, and the environment of the solvent. Under usual conditions, when one tautomer is more stable than the others, it is known as the “stable form”. An intramolecular hydrogen bond is present in closed cis-enol forms, and it leads to a stable form of the tautomer <xref ref-type="bibr" rid="scirp.145431-35">
       [35]
      </xref> <xref ref-type="bibr" rid="scirp.145431-36">
       [36]
      </xref>. Herein, we discuss the behavior of different tautomers of the title compound computationally and chemically by preparing different heterocyclic compounds using it as a starting material (<xref ref-type="fig" rid="fig2">
       Figure 2
      </xref>).<p class="imgGroupCss_v"><img class=" imgMarkCss lazy" data-original="https://html.scirp.org/file/1710193-rId20.jpeg?20250908120436" /></p><xref ref-type="bibr" rid="scirp.145431-"></xref>Figure 2. Different tautomers of mesoxaldehyde 1,2-bis-phenyl hydrazone (MBPH).</title>
    </caption>
    <graphic mimetype="image" position="float" xlink:type="simple" xlink:href="https://html.scirp.org/file/1710193-rId19.jpeg?20250908120433" />
   </fig>
   <sec id="s1_1">
    <title>3.1. Computational Studies</title>
    <p>I. Optimization calculations</p>
    <p>
     <xref ref-type="bibr" rid="scirp.145431-"></xref>The tautomerism of organic compounds has been the subject of extensive theoretical studies by using different quantum chemical methods <xref ref-type="bibr" rid="scirp.145431-37">
      [37]
     </xref>. The present work aimed to characterize the tautomerization of the molecular structure, reactivity descriptors, frequencies, and chemical shifts of the six tautomers of MBPH. Hartree-Fock and Density Functional Theory computational codes are used in practice to investigate the structural, magnetic, and electronic properties of all tautomers. The stability and chemical reactivity of these tautomers in the gas phase have been predicted by using the well-known quantum-chemical methods described above. However, DFT calculations produce the electron densities of molecules with good results. The title compound was computed using HF/6-311G(d,p), DFT/B3LYP, 6-311G(d,p), DFT/B3PW91, 6-311G(d,p) and DFT/WB97XD, 6-311G(d,p) in the gas phase, this set was chosen to compare results from a standard hybrid functional with a range-separated one would strengthen the methodology. The optimized structure of the computed tautomer calculated at B3LYP/6-311G(d,p) is shown in <xref ref-type="fig" rid="fig3">
      Figure 3
     </xref>.</p>
    <fig id="fig3" position="float">
     <label>Figure 3</label>
     <caption>
      <title>
       <xref ref-type="bibr" rid="scirp.145431-"></xref>Figure 3. Optimized molecular structure of MBPH calculated at DFT/B3LYP/6-311G(d,p) with atom numbering scheme via the Chemcraft program.</title>
     </caption>
     <graphic mimetype="image" position="float" xlink:type="simple" xlink:href="https://html.scirp.org/file/1710193-rId21.jpeg?20250908120439" />
    </fig>
    <p>II. Structural Analysis</p>
    <p>A detailed analysis of the structural and energetical changes caused by the migration of hydrogen atoms would enable us to understand the different properties of the tautomers. Most of the tautomers were not studied by experiment due to their low concentration and stability. Quantum chemical calculations are the best tools to study the relative stability of such tautomers. In addition to the relative stability, computational studies permit a direct analysis of the physical and chemical properties of the molecules.</p>
    <p>II.1. Geometrical Parameters </p>
    <p>
     <xref ref-type="bibr" rid="scirp.145431-"></xref>The internal coordinates describe the position of the atoms in terms of distances (A˚), angles (˚), and torsion angle (˚) concerning an origin atom. The purpose of this investigation is to study the structure and relative stability of six tautomeric forms of MBPH. The optimized DFT geometry by B3LYP/6-311++G(d,p) of the tautomers with atom numbering is shown in <xref ref-type="fig" rid="figFigures 4-8">
      Figures 4-8
     </xref>. By the relaxation of all parameters, the calculations converge to optimize geometries, which correspond to true energy minimum, as revealed by the lack of imaginary frequencies in the vibrational mode calculation. Also, the geometrical parameters have various applications in the explanation of the physicochemical properties of intramolecular hydrogen bonds (IHB) in the system investigated here, and these parameters are represented as follows:</p>
    <p>
     <xref ref-type="bibr" rid="scirp.145431-"></xref>N<sub>1</sub>-N<sub>2</sub>, N<sub>3</sub>-N<sub>4</sub>, C<sub>1</sub>-N<sub>1</sub>, C<sub>2</sub>=N<sub>4</sub>, C<sub>1</sub>-C<sub>2</sub>, N<sub>2</sub>-H<sub>1</sub>, N<sub>3</sub>-C<sub>9</sub>, N<sub>2</sub>-C<sub>6</sub>, bond lengths, N<sub>1</sub>…H<sub>8</sub> bond distance, N<sub>4</sub>-C<sub>2</sub>-C<sub>1</sub> and N<sub>3</sub>…H<sub>8</sub>-N<sub>1</sub> angles for tautomer (1a) (<xref ref-type="fig" rid="fig4">
      Figure 4
     </xref>), for (1b) tautomer these parameters are observed beside O<sub>1</sub>-H<sub>13</sub>, O<sub>1</sub>-C<sub>15</sub>, C<sub>15</sub>-H<sub>11</sub>, C<sub>15</sub>-C<sub>2</sub>, C<sub>1</sub>-H<sub>14</sub>, N<sub>2</sub>-H<sub>12</sub> bond lengths, N<sub>1</sub>……H<sub>13</sub> bond distance, N<sub>1</sub>-C<sub>1</sub>-C<sub>2</sub>, and C<sub>15</sub>-O<sub>1</sub>-H<sub>13</sub> angles as shown in <xref ref-type="fig" rid="fig5">
      Figure 5
     </xref>, also some geometrical parameters are shown for tautomers (1c &amp; 1d) as shown in <xref ref-type="fig" rid="fig6">
      Figure 6
     </xref>, the structural parameters for (1e) confirm its reactivity as shown in<xref ref-type="fig" rid="fig7">
      Figure 7
     </xref>. Also, the geometrical parameters such as bond length (A˚), bond angles (˚), and torsion angles (˚) were investigated to shed more light on the stability of tautomer (1f) (<xref ref-type="fig" rid="fig8">
      Figure 8
     </xref>).</p>
    <fig id="fig4" position="float">
     <label>Figure 4</label>
     <caption>
      <title>
       <xref ref-type="bibr" rid="scirp.145431-"></xref>Figure 4. Some geometrical parameters of the tautomer (1a) were calculated by different DFT methods using the Chemcraft program to visualize the results with intramolecular H-bonds.</title>
     </caption>
     <graphic mimetype="image" position="float" xlink:type="simple" xlink:href="https://html.scirp.org/file/1710193-rId22.jpeg?20250908120438" />
    </fig>
    <fig id="fig5" position="float">
     <label>Figure 5</label>
     <caption>
      <title>
       <xref ref-type="bibr" rid="scirp.145431-"></xref>Figure 5. Some geometrical parameters of the tautomer (1b) were calculated by different HF and DFT methods using a Chemcraft program to visualize the results with an intramolecular H-bond.</title>
     </caption>
     <graphic mimetype="image" position="float" xlink:type="simple" xlink:href="https://html.scirp.org/file/1710193-rId23.jpeg?20250908120439" />
    </fig>
    <fig id="fig6" position="float">
     <label>Figure 6</label>
     <caption>
      <title>
       <xref ref-type="bibr" rid="scirp.145431-"></xref>Figure 6. Some geometrical parameters of the tautomers (1c) &amp; (1d) were calculated by DFT methods using a Chemcraft program to visualize the results with intramolecular H-bonds.</title>
     </caption>
     <graphic mimetype="image" position="float" xlink:type="simple" xlink:href="https://html.scirp.org/file/1710193-rId24.jpeg?20250908120439" />
    </fig>
    <fig id="fig7" position="float">
     <label>Figure 7</label>
     <caption>
      <title>
       <xref ref-type="bibr" rid="scirp.145431-"></xref>Figure 7. Some geometrical parameters of the tautomer (1e) were calculated by different DFT methods using a Chemcraft program to visualize the results with intramolecular H-bonds.</title>
     </caption>
     <graphic mimetype="image" position="float" xlink:type="simple" xlink:href="https://html.scirp.org/file/1710193-rId25.jpeg?20250908120439" />
    </fig>
    <fig id="fig8" position="float">
     <label>Figure 8</label>
     <caption>
      <title>
       <xref ref-type="bibr" rid="scirp.145431-"></xref>Figure 8. Some geometrical parameters of the tautomer (1f) were calculated by different DFT methods using a chem craft program to visualize the results.</title>
     </caption>
     <graphic mimetype="image" position="float" xlink:type="simple" xlink:href="https://html.scirp.org/file/1710193-rId26.jpeg?20250908120439" />
    </fig>
    <table-wrap id="table1">
     <label>
      <xref ref-type="table" rid="table1">
       Table 1
      </xref></label>
     <caption>
      <title>
       <xref ref-type="bibr" rid="scirp.145431-"></xref>Table 1. Self-consistent field energy, dipole moment, and reactivity parameters of MBPH tautomers calculated by DFT/B3LYP/6-311G(d,p), DFT/B3PW91/6-311G(d,p), DFT/WB97XD/6-311G(d,p), and HF/6-311G(d,p), respectively.</title>
     </caption>
     <table class="MsoTableGrid custom-table" border="0" cellspacing="0" cellpadding="0"> 
      <tr> 
       <td rowspan="2" class="aleft" width="35.73%"><p style="text-align:left">Level of Theory/Parameters</p></td> 
       <td class="custom-bottom-td aleft" width="64.27%" colspan="6"><p style="text-align:left">Isomer</p></td> 
      </tr> 
      <tr> 
       <td class="custom-bottom-td custom-top-td aleft" width="10.71%"><p style="text-align:left">(1a)</p></td> 
       <td class="custom-bottom-td custom-top-td aleft" width="10.72%"><p style="text-align:left">(1b)</p></td> 
       <td class="custom-bottom-td custom-top-td aleft" width="10.71%"><p style="text-align:left">(1c)</p></td> 
       <td class="custom-bottom-td custom-top-td aleft" width="10.72%"><p style="text-align:left">(1d)</p></td> 
       <td class="custom-bottom-td custom-top-td aleft" width="10.71%"><p style="text-align:left">(1e)</p></td> 
       <td class="custom-bottom-td custom-top-td aleft" width="10.72%"><p style="text-align:left">(1f)</p></td> 
      </tr> 
      <tr> 
       <td class="custom-top-td aleft" width="35.73%"><p style="text-align:left"><u>DFT/B3LYP/</u><u>6</u><u>-</u><u>311G(</u><u>d</u><u>,</u><u>p</u><u>)</u></p></td> 
       <td class="custom-top-td aleft" width="10.71%"><p style="text-align:left"></p></td> 
       <td class="custom-top-td aleft" width="10.72%"><p style="text-align:left"></p></td> 
       <td class="custom-top-td aleft" width="10.71%"><p style="text-align:left"></p></td> 
       <td class="custom-top-td aleft" width="10.72%"><p style="text-align:left"></p></td> 
       <td class="custom-top-td aleft" width="10.71%"><p style="text-align:left"></p></td> 
       <td class="custom-top-td aleft" width="10.72%"><p style="text-align:left"></p></td> 
      </tr> 
      <tr> 
       <td class="aleft" width="35.73%"><p style="text-align:left">E (a.u)</p></td> 
       <td class="aleft" width="10.71%"><p style="text-align:left">−874.4050</p></td> 
       <td class="aleft" width="10.72%"><p style="text-align:left">−874.3869</p></td> 
       <td class="aleft" width="10.71%"><p style="text-align:left">−874.3597</p></td> 
       <td class="aleft" width="10.72%"><p style="text-align:left">−874.3466</p></td> 
       <td class="aleft" width="10.71%"><p style="text-align:left">−874.3350</p></td> 
       <td class="aleft" width="10.72%"><p style="text-align:left">−874.3470</p></td> 
      </tr> 
      <tr> 
       <td class="aleft" width="35.73%"><p style="text-align:left">Dipole moment (Debye)</p></td> 
       <td class="aleft" width="10.71%"><p style="text-align:left">4.4540</p></td> 
       <td class="aleft" width="10.72%"><p style="text-align:left">2.6793</p></td> 
       <td class="aleft" width="10.71%"><p style="text-align:left">2.2159</p></td> 
       <td class="aleft" width="10.72%"><p style="text-align:left">4.4890</p></td> 
       <td class="aleft" width="10.71%"><p style="text-align:left">4.4650</p></td> 
       <td class="aleft" width="10.72%"><p style="text-align:left">3.6124</p></td> 
      </tr> 
      <tr> 
       <td class="aleft" width="35.73%"><p style="text-align:left">E<sub>HOMO </sub>(eV)</p></td> 
       <td class="aleft" width="10.71%"><p style="text-align:left">−5.5950</p></td> 
       <td class="aleft" width="10.72%"><p style="text-align:left">−5.5615</p></td> 
       <td class="aleft" width="10.71%"><p style="text-align:left">−5.6061</p></td> 
       <td class="aleft" width="10.72%"><p style="text-align:left">−5.6665</p></td> 
       <td class="aleft" width="10.71%"><p style="text-align:left">−4.8916</p></td> 
       <td class="aleft" width="10.72%"><p style="text-align:left">−5.7144</p></td> 
      </tr> 
      <tr> 
       <td class="aleft" width="35.73%"><p style="text-align:left">E<sub>LUMO </sub>(eV)</p></td> 
       <td class="aleft" width="10.71%"><p style="text-align:left">−2.0800</p></td> 
       <td class="aleft" width="10.72%"><p style="text-align:left">−1.8964</p></td> 
       <td class="aleft" width="10.71%"><p style="text-align:left">−2.8531</p></td> 
       <td class="aleft" width="10.72%"><p style="text-align:left">−2.7102</p></td> 
       <td class="aleft" width="10.71%"><p style="text-align:left">−3.3130</p></td> 
       <td class="aleft" width="10.72%"><p style="text-align:left">−2.0439</p></td> 
      </tr> 
      <tr> 
       <td class="aleft" width="35.73%"><p style="text-align:left">∆E (eV)</p></td> 
       <td class="aleft" width="10.71%"><p style="text-align:left">3.5152</p></td> 
       <td class="aleft" width="10.72%"><p style="text-align:left">3.6651</p></td> 
       <td class="aleft" width="10.71%"><p style="text-align:left">2.7530</p></td> 
       <td class="aleft" width="10.72%"><p style="text-align:left">2.9562</p></td> 
       <td class="aleft" width="10.71%"><p style="text-align:left">1.5785</p></td> 
       <td class="aleft" width="10.72%"><p style="text-align:left">3.6706</p></td> 
      </tr> 
      <tr> 
       <td class="aleft" width="35.73%"><p style="text-align:left">IP = (−E<sub>HOMO</sub>)</p></td> 
       <td class="aleft" width="10.71%"><p style="text-align:left">5.5950</p></td> 
       <td class="aleft" width="10.72%"><p style="text-align:left">5.5615</p></td> 
       <td class="aleft" width="10.71%"><p style="text-align:left">5.6061</p></td> 
       <td class="aleft" width="10.72%"><p style="text-align:left">5.6665</p></td> 
       <td class="aleft" width="10.71%"><p style="text-align:left">4.8916</p></td> 
       <td class="aleft" width="10.72%"><p style="text-align:left">5.7144</p></td> 
      </tr> 
      <tr> 
       <td class="aleft" width="35.73%"><p style="text-align:left">EA = (−E<sub>LUMO</sub>)</p></td> 
       <td class="aleft" width="10.71%"><p style="text-align:left">2.0800</p></td> 
       <td class="aleft" width="10.72%"><p style="text-align:left">1.8964</p></td> 
       <td class="aleft" width="10.71%"><p style="text-align:left">2.8531</p></td> 
       <td class="aleft" width="10.72%"><p style="text-align:left">2.7102</p></td> 
       <td class="aleft" width="10.71%"><p style="text-align:left">3.3130</p></td> 
       <td class="aleft" width="10.72%"><p style="text-align:left">2.0439</p></td> 
      </tr> 
      <tr> 
       <td class="aleft" width="35.73%"><p style="text-align:left">Hardness (η) = (IP − EA)/2</p></td> 
       <td class="aleft" width="10.71%"><p style="text-align:left">1.7575</p></td> 
       <td class="aleft" width="10.72%"><p style="text-align:left">1.8326</p></td> 
       <td class="aleft" width="10.71%"><p style="text-align:left">1.3765</p></td> 
       <td class="aleft" width="10.72%"><p style="text-align:left">1.4782</p></td> 
       <td class="aleft" width="10.71%"><p style="text-align:left">0.7893</p></td> 
       <td class="aleft" width="10.72%"><p style="text-align:left">1.8353</p></td> 
      </tr> 
      <tr> 
       <td class="aleft" width="35.73%"><p style="text-align:left">Softness (1/η)</p></td> 
       <td class="aleft" width="10.71%"><p style="text-align:left">0.5690</p></td> 
       <td class="aleft" width="10.72%"><p style="text-align:left">0.5457</p></td> 
       <td class="aleft" width="10.71%"><p style="text-align:left">0.7264</p></td> 
       <td class="aleft" width="10.72%"><p style="text-align:left">0.6765</p></td> 
       <td class="aleft" width="10.71%"><p style="text-align:left">1.2669</p></td> 
       <td class="aleft" width="10.72%"><p style="text-align:left">0.5449</p></td> 
      </tr> 
      <tr> 
       <td class="aleft" width="35.73%"><p style="text-align:left">electronegativity index χ = IP + EA/2</p></td> 
       <td class="aleft" width="10.71%"><p style="text-align:left">3.8375</p></td> 
       <td class="aleft" width="10.72%"><p style="text-align:left">3.7290</p></td> 
       <td class="aleft" width="10.71%"><p style="text-align:left">4.2146</p></td> 
       <td class="aleft" width="10.72%"><p style="text-align:left">4.1884</p></td> 
       <td class="aleft" width="10.71%"><p style="text-align:left">4.1023</p></td> 
       <td class="aleft" width="10.72%"><p style="text-align:left">3.8792</p></td> 
      </tr> 
      <tr> 
       <td class="aleft" width="35.73%"><p style="text-align:left">Chemical potential (μ) = −χ</p></td> 
       <td class="aleft" width="10.71%"><p style="text-align:left">−3.8375</p></td> 
       <td class="aleft" width="10.72%"><p style="text-align:left">−3.7290</p></td> 
       <td class="aleft" width="10.71%"><p style="text-align:left">−4.2146</p></td> 
       <td class="aleft" width="10.72%"><p style="text-align:left">−4.1884</p></td> 
       <td class="aleft" width="10.71%"><p style="text-align:left">−4.1023</p></td> 
       <td class="aleft" width="10.72%"><p style="text-align:left">−3.8792</p></td> 
      </tr> 
      <tr> 
       <td class="aleft" width="35.73%"><p style="text-align:left">Electrophilicity (ω = 2/2𝜂)</p></td> 
       <td class="aleft" width="10.71%"><p style="text-align:left">4.1896</p></td> 
       <td class="aleft" width="10.72%"><p style="text-align:left">3.7938</p></td> 
       <td class="aleft" width="10.71%"><p style="text-align:left">6.4545</p></td> 
       <td class="aleft" width="10.72%"><p style="text-align:left">5.9341</p></td> 
       <td class="aleft" width="10.71%"><p style="text-align:left">10.661</p></td> 
       <td class="aleft" width="10.72%"><p style="text-align:left">4.0995</p></td> 
      </tr> 
      <tr> 
       <td class="custom-bottom-td aleft" width="35.73%"><p style="text-align:left">Nucleophilicity = E<sub>HOMO</sub> + 9.12</p></td> 
       <td class="custom-bottom-td aleft" width="10.71%"><p style="text-align:left">3.5250</p></td> 
       <td class="custom-bottom-td aleft" width="10.72%"><p style="text-align:left">3.5585</p></td> 
       <td class="custom-bottom-td aleft" width="10.71%"><p style="text-align:left">3.5140</p></td> 
       <td class="custom-bottom-td aleft" width="10.72%"><p style="text-align:left">3.4540</p></td> 
       <td class="custom-bottom-td aleft" width="10.71%"><p style="text-align:left">4.2290</p></td> 
       <td class="custom-bottom-td aleft" width="10.72%"><p style="text-align:left">3.4060</p></td> 
      </tr> 
      <tr> 
       <td class="custom-top-td aleft" width="35.73%"><p style="text-align:left"><u>DFT/B3PW91/</u><u>6</u><u>-</u><u>311G(</u><u>d</u><u>,</u><u>p</u><u>)</u></p></td> 
       <td class="custom-top-td aleft" width="10.71%"><p style="text-align:left"></p></td> 
       <td class="custom-top-td aleft" width="10.72%"><p style="text-align:left"></p></td> 
       <td class="custom-top-td aleft" width="10.71%"><p style="text-align:left"></p></td> 
       <td class="custom-top-td aleft" width="10.72%"><p style="text-align:left"></p></td> 
       <td class="custom-top-td aleft" width="10.71%"><p style="text-align:left"></p></td> 
       <td class="custom-top-td aleft" width="10.72%"><p style="text-align:left"></p></td> 
      </tr> 
      <tr> 
       <td class="aleft" width="35.73%"><p style="text-align:left">E (a.u)</p></td> 
       <td class="aleft" width="10.71%"><p style="text-align:left">−874.0674</p></td> 
       <td class="aleft" width="10.72%"><p style="text-align:left">−874.0358</p></td> 
       <td class="aleft" width="10.71%"><p style="text-align:left">−874.0542</p></td> 
       <td class="aleft" width="10.72%"><p style="text-align:left">−873.9948</p></td> 
       <td class="aleft" width="10.71%"><p style="text-align:left">−873.9859</p></td> 
       <td class="aleft" width="10.72%"><p style="text-align:left">−874.0124</p></td> 
      </tr> 
      <tr> 
       <td class="aleft" width="35.73%"><p style="text-align:left">Dipole moment (Debye)</p></td> 
       <td class="aleft" width="10.71%"><p style="text-align:left">6.5144</p></td> 
       <td class="aleft" width="10.72%"><p style="text-align:left">2.7640</p></td> 
       <td class="aleft" width="10.71%"><p style="text-align:left">4.5591</p></td> 
       <td class="aleft" width="10.72%"><p style="text-align:left">4.5931</p></td> 
       <td class="aleft" width="10.71%"><p style="text-align:left">4.2447</p></td> 
       <td class="aleft" width="10.72%"><p style="text-align:left">5.3278</p></td> 
      </tr> 
      <tr> 
       <td class="aleft" width="35.73%"><p style="text-align:left">E<sub>HOMO</sub> (eV)</p></td> 
       <td class="aleft" width="10.71%"><p style="text-align:left">−5.6777</p></td> 
       <td class="aleft" width="10.72%"><p style="text-align:left">−5.5884</p></td> 
       <td class="aleft" width="10.71%"><p style="text-align:left">−5.6306</p></td> 
       <td class="aleft" width="10.72%"><p style="text-align:left">−5.8099</p></td> 
       <td class="aleft" width="10.71%"><p style="text-align:left">−4.8461</p></td> 
       <td class="aleft" width="10.72%"><p style="text-align:left">−6.1022</p></td> 
      </tr> 
      <tr> 
       <td class="aleft" width="35.73%"><p style="text-align:left">E<sub>LUMO</sub> <sub>(</sub>eV)</p></td> 
       <td class="aleft" width="10.71%"><p style="text-align:left">−2.2782</p></td> 
       <td class="aleft" width="10.72%"><p style="text-align:left">−1.9298</p></td> 
       <td class="aleft" width="10.71%"><p style="text-align:left">−2.1233</p></td> 
       <td class="aleft" width="10.72%"><p style="text-align:left">−2.6515</p></td> 
       <td class="aleft" width="10.71%"><p style="text-align:left">−3.0779</p></td> 
       <td class="aleft" width="10.72%"><p style="text-align:left">−2.2874</p></td> 
      </tr> 
      <tr> 
       <td class="aleft" width="35.73%"><p style="text-align:left">∆E (eV)</p></td> 
       <td class="aleft" width="10.71%"><p style="text-align:left">3.3996</p></td> 
       <td class="aleft" width="10.72%"><p style="text-align:left">3.6586</p></td> 
       <td class="aleft" width="10.71%"><p style="text-align:left">3.5073</p></td> 
       <td class="aleft" width="10.72%"><p style="text-align:left">3.1584</p></td> 
       <td class="aleft" width="10.71%"><p style="text-align:left">1.7682</p></td> 
       <td class="aleft" width="10.72%"><p style="text-align:left">3.8148</p></td> 
      </tr> 
      <tr> 
       <td class="aleft" width="35.73%"><p style="text-align:left">IP= (−E<sub>HOMO</sub>)</p></td> 
       <td class="aleft" width="10.71%"><p style="text-align:left">5.6777</p></td> 
       <td class="aleft" width="10.72%"><p style="text-align:left">5.5884</p></td> 
       <td class="aleft" width="10.71%"><p style="text-align:left">5.6306</p></td> 
       <td class="aleft" width="10.72%"><p style="text-align:left">5.8099</p></td> 
       <td class="aleft" width="10.71%"><p style="text-align:left">4.8461</p></td> 
       <td class="aleft" width="10.72%"><p style="text-align:left">6.1022</p></td> 
      </tr> 
      <tr> 
       <td class="aleft" width="35.73%"><p style="text-align:left">EA= (−E<sub>LUMO</sub>)</p></td> 
       <td class="aleft" width="10.71%"><p style="text-align:left">2.2782</p></td> 
       <td class="aleft" width="10.72%"><p style="text-align:left">1.9298</p></td> 
       <td class="aleft" width="10.71%"><p style="text-align:left">2.1233</p></td> 
       <td class="aleft" width="10.72%"><p style="text-align:left">2.6515</p></td> 
       <td class="aleft" width="10.71%"><p style="text-align:left">3.0779</p></td> 
       <td class="aleft" width="10.72%"><p style="text-align:left">2.2874</p></td> 
      </tr> 
      <tr> 
       <td class="aleft" width="35.73%"><p style="text-align:left">Hardness (η) = (IP − EA)/2</p></td> 
       <td class="aleft" width="10.71%"><p style="text-align:left">1.6998</p></td> 
       <td class="aleft" width="10.72%"><p style="text-align:left">1.8293</p></td> 
       <td class="aleft" width="10.71%"><p style="text-align:left">1.7537</p></td> 
       <td class="aleft" width="10.72%"><p style="text-align:left">1.5792</p></td> 
       <td class="aleft" width="10.71%"><p style="text-align:left">0.8841</p></td> 
       <td class="aleft" width="10.72%"><p style="text-align:left">1.9074</p></td> 
      </tr> 
      <tr> 
       <td class="aleft" width="35.73%"><p style="text-align:left">Softness (1/η)</p></td> 
       <td class="aleft" width="10.71%"><p style="text-align:left">0.5880</p></td> 
       <td class="aleft" width="10.72%"><p style="text-align:left">0.5467</p></td> 
       <td class="aleft" width="10.71%"><p style="text-align:left">0.5702</p></td> 
       <td class="aleft" width="10.72%"><p style="text-align:left">0.6332</p></td> 
       <td class="aleft" width="10.71%"><p style="text-align:left">1.1310</p></td> 
       <td class="aleft" width="10.72%"><p style="text-align:left">0.5242</p></td> 
      </tr> 
      <tr> 
       <td class="aleft" width="35.73%"><p style="text-align:left">electronegativity index χ = IP + EA/2</p></td> 
       <td class="aleft" width="10.71%"><p style="text-align:left">3.9783</p></td> 
       <td class="aleft" width="10.72%"><p style="text-align:left">3.7088</p></td> 
       <td class="aleft" width="10.71%"><p style="text-align:left">3.8770</p></td> 
       <td class="aleft" width="10.72%"><p style="text-align:left">4.2307</p></td> 
       <td class="aleft" width="10.71%"><p style="text-align:left">3.9620</p></td> 
       <td class="aleft" width="10.72%"><p style="text-align:left">4.1948</p></td> 
      </tr> 
      <tr> 
       <td class="aleft" width="35.73%"><p style="text-align:left">Chemical potential (μ) = −χ</p></td> 
       <td class="aleft" width="10.71%"><p style="text-align:left">−3.9783</p></td> 
       <td class="aleft" width="10.72%"><p style="text-align:left">−3.7088</p></td> 
       <td class="aleft" width="10.71%"><p style="text-align:left">−3.8770</p></td> 
       <td class="aleft" width="10.72%"><p style="text-align:left">−4.2307</p></td> 
       <td class="aleft" width="10.71%"><p style="text-align:left">−3.9620</p></td> 
       <td class="aleft" width="10.72%"><p style="text-align:left">−4.1948</p></td> 
      </tr> 
      <tr> 
       <td class="aleft" width="35.73%"><p style="text-align:left">Electrophilicity (ω = 2/2𝜂)</p></td> 
       <td class="aleft" width="10.71%"><p style="text-align:left">4.9150</p></td> 
       <td class="aleft" width="10.72%"><p style="text-align:left">3.7707</p></td> 
       <td class="aleft" width="10.71%"><p style="text-align:left">4.2854</p></td> 
       <td class="aleft" width="10.72%"><p style="text-align:left">5.6670</p></td> 
       <td class="aleft" width="10.71%"><p style="text-align:left">8.8784</p></td> 
       <td class="aleft" width="10.72%"><p style="text-align:left">4.6126</p></td> 
      </tr> 
      <tr> 
       <td class="custom-bottom-td aleft" width="35.73%"><p style="text-align:left">Nucleophilicity = E<sub>HOMO</sub> + 9.12</p></td> 
       <td class="custom-bottom-td aleft" width="10.71%"><p style="text-align:left">3.4420</p></td> 
       <td class="custom-bottom-td aleft" width="10.72%"><p style="text-align:left">3.5316</p></td> 
       <td class="custom-bottom-td aleft" width="10.71%"><p style="text-align:left">3.4894</p></td> 
       <td class="custom-bottom-td aleft" width="10.72%"><p style="text-align:left">3.3110</p></td> 
       <td class="custom-bottom-td aleft" width="10.71%"><p style="text-align:left">4.2739</p></td> 
       <td class="custom-bottom-td aleft" width="10.72%"><p style="text-align:left">3.0178</p></td> 
      </tr> 
      <tr> 
       <td class="custom-top-td aleft" width="35.73%"><p style="text-align:left"><u>DFT/WB97XD/</u><u>6</u><u>-</u><u>311G(</u><u>d</u><u>,</u><u>p</u><u>)</u></p></td> 
       <td class="custom-top-td aleft" width="10.71%"><p style="text-align:left"></p></td> 
       <td class="custom-top-td aleft" width="10.72%"><p style="text-align:left"></p></td> 
       <td class="custom-top-td aleft" width="10.71%"><p style="text-align:left"></p></td> 
       <td class="custom-top-td aleft" width="10.72%"><p style="text-align:left"></p></td> 
       <td class="custom-top-td aleft" width="10.71%"><p style="text-align:left"></p></td> 
       <td class="custom-top-td aleft" width="10.72%"><p style="text-align:left"></p></td> 
      </tr> 
      <tr> 
       <td class="aleft" width="35.73%"><p style="text-align:left">E (a.u)</p></td> 
       <td class="aleft" width="10.71%"><p style="text-align:left">−874.013</p></td> 
       <td class="aleft" width="10.72%"><p style="text-align:left">−874.0716</p></td> 
       <td class="aleft" width="10.71%"><p style="text-align:left">−874.0466</p></td> 
       <td class="aleft" width="10.72%"><p style="text-align:left">−874.0311</p></td> 
       <td class="aleft" width="10.71%"><p style="text-align:left">−874.0128</p></td> 
       <td class="aleft" width="10.72%"><p style="text-align:left">−874.0538</p></td> 
      </tr> 
      <tr> 
       <td class="aleft" width="35.73%"><p style="text-align:left">Dipole moment (Debye)</p></td> 
       <td class="aleft" width="10.71%"><p style="text-align:left">4.0680</p></td> 
       <td class="aleft" width="10.72%"><p style="text-align:left">2.5797</p></td> 
       <td class="aleft" width="10.71%"><p style="text-align:left">1.9549</p></td> 
       <td class="aleft" width="10.72%"><p style="text-align:left">4.9540</p></td> 
       <td class="aleft" width="10.71%"><p style="text-align:left">4.8190</p></td> 
       <td class="aleft" width="10.72%"><p style="text-align:left">5.1710</p></td> 
      </tr> 
      <tr> 
       <td class="aleft" width="35.73%"><p style="text-align:left">E<sub>HOMO</sub> (eV)</p></td> 
       <td class="aleft" width="10.71%"><p style="text-align:left">−7.4620</p></td> 
       <td class="aleft" width="10.72%"><p style="text-align:left">−7.4595</p></td> 
       <td class="aleft" width="10.71%"><p style="text-align:left">−7.4285</p></td> 
       <td class="aleft" width="10.72%"><p style="text-align:left">−7.6195</p></td> 
       <td class="aleft" width="10.71%"><p style="text-align:left">−6.5316</p></td> 
       <td class="aleft" width="10.72%"><p style="text-align:left">−8.0065</p></td> 
      </tr> 
      <tr> 
       <td class="aleft" width="35.73%"><p style="text-align:left">E<sub>LUMO</sub> (eV)</p></td> 
       <td class="aleft" width="10.71%"><p style="text-align:left">−0.0201</p></td> 
       <td class="aleft" width="10.72%"><p style="text-align:left">−0.0351</p></td> 
       <td class="aleft" width="10.71%"><p style="text-align:left">−1.1228</p></td> 
       <td class="aleft" width="10.72%"><p style="text-align:left">−0.8338</p></td> 
       <td class="aleft" width="10.71%"><p style="text-align:left">−1.3524</p></td> 
       <td class="aleft" width="10.72%"><p style="text-align:left">−0.3437</p></td> 
      </tr> 
      <tr> 
       <td class="aleft" width="35.73%"><p style="text-align:left">∆E (eV)</p></td> 
       <td class="aleft" width="10.71%"><p style="text-align:left">7.2609</p></td> 
       <td class="aleft" width="10.72%"><p style="text-align:left">7.4244</p></td> 
       <td class="aleft" width="10.71%"><p style="text-align:left">6.3057</p></td> 
       <td class="aleft" width="10.72%"><p style="text-align:left">6.7858</p></td> 
       <td class="aleft" width="10.71%"><p style="text-align:left">5.1792</p></td> 
       <td class="aleft" width="10.72%"><p style="text-align:left">7.6628</p></td> 
      </tr> 
      <tr> 
       <td class="aleft" width="35.73%"><p style="text-align:left">IP = (−E<sub>HOMO</sub>)</p></td> 
       <td class="aleft" width="10.71%"><p style="text-align:left">7.4620</p></td> 
       <td class="aleft" width="10.72%"><p style="text-align:left">7.4595</p></td> 
       <td class="aleft" width="10.71%"><p style="text-align:left">7.4285</p></td> 
       <td class="aleft" width="10.72%"><p style="text-align:left">7.6195</p></td> 
       <td class="aleft" width="10.71%"><p style="text-align:left">6.5316</p></td> 
       <td class="aleft" width="10.72%"><p style="text-align:left">8.0065</p></td> 
      </tr> 
      <tr> 
       <td class="aleft" width="35.73%"><p style="text-align:left">EA = (−E<sub>LUMO</sub>)</p></td> 
       <td class="aleft" width="10.71%"><p style="text-align:left">0.0201</p></td> 
       <td class="aleft" width="10.72%"><p style="text-align:left">0.0351</p></td> 
       <td class="aleft" width="10.71%"><p style="text-align:left">1.1228</p></td> 
       <td class="aleft" width="10.72%"><p style="text-align:left">0.8338</p></td> 
       <td class="aleft" width="10.71%"><p style="text-align:left">1.3524</p></td> 
       <td class="aleft" width="10.72%"><p style="text-align:left">0.3437</p></td> 
      </tr> 
      <tr> 
       <td class="aleft" width="35.73%"><p style="text-align:left">Hardness (η) = (IP − EA)/2</p></td> 
       <td class="aleft" width="10.71%"><p style="text-align:left">2.8945</p></td> 
       <td class="aleft" width="10.72%"><p style="text-align:left">3.7122</p></td> 
       <td class="aleft" width="10.71%"><p style="text-align:left">3.1529</p></td> 
       <td class="aleft" width="10.72%"><p style="text-align:left">3.3929</p></td> 
       <td class="aleft" width="10.71%"><p style="text-align:left">2.5896</p></td> 
       <td class="aleft" width="10.72%"><p style="text-align:left">3.8314</p></td> 
      </tr> 
      <tr> 
       <td class="aleft" width="35.73%"><p style="text-align:left">Softness (1/η)</p></td> 
       <td class="aleft" width="10.71%"><p style="text-align:left">0.3454</p></td> 
       <td class="aleft" width="10.72%"><p style="text-align:left">0.2693</p></td> 
       <td class="aleft" width="10.71%"><p style="text-align:left">0.3172</p></td> 
       <td class="aleft" width="10.72%"><p style="text-align:left">0.2947</p></td> 
       <td class="aleft" width="10.71%"><p style="text-align:left">0.3862</p></td> 
       <td class="aleft" width="10.72%"><p style="text-align:left">0.2610</p></td> 
      </tr> 
      <tr> 
       <td class="aleft" width="35.73%"><p style="text-align:left">electronegativity index χ = IP + EA/2</p></td> 
       <td class="aleft" width="10.71%"><p style="text-align:left">3.7411</p></td> 
       <td class="aleft" width="10.72%"><p style="text-align:left">3.7473</p></td> 
       <td class="aleft" width="10.71%"><p style="text-align:left">4.2757</p></td> 
       <td class="aleft" width="10.72%"><p style="text-align:left">4.2267</p></td> 
       <td class="aleft" width="10.71%"><p style="text-align:left">3.9420</p></td> 
       <td class="aleft" width="10.72%"><p style="text-align:left">4.1751</p></td> 
      </tr> 
      <tr> 
       <td class="aleft" width="35.73%"><p style="text-align:left">Chemical potential (μ) = −χ</p></td> 
       <td class="aleft" width="10.71%"><p style="text-align:left">−3.7411</p></td> 
       <td class="aleft" width="10.72%"><p style="text-align:left">−3.7473</p></td> 
       <td class="aleft" width="10.71%"><p style="text-align:left">−4.2757</p></td> 
       <td class="aleft" width="10.72%"><p style="text-align:left">−4.2267</p></td> 
       <td class="aleft" width="10.71%"><p style="text-align:left">−3.9420</p></td> 
       <td class="aleft" width="10.72%"><p style="text-align:left">−4.1751</p></td> 
      </tr> 
      <tr> 
       <td class="aleft" width="35.73%"><p style="text-align:left">Electrophilicity (ω = 2/2𝜂)</p></td> 
       <td class="aleft" width="10.71%"><p style="text-align:left">2.4177</p></td> 
       <td class="aleft" width="10.72%"><p style="text-align:left">1.8914</p></td> 
       <td class="aleft" width="10.71%"><p style="text-align:left">2.8992</p></td> 
       <td class="aleft" width="10.72%"><p style="text-align:left">2.6327</p></td> 
       <td class="aleft" width="10.71%"><p style="text-align:left">3.0003</p></td> 
       <td class="aleft" width="10.72%"><p style="text-align:left">2.2748</p></td> 
      </tr> 
      <tr> 
       <td class="custom-bottom-td aleft" width="35.73%"><p style="text-align:left">Nucleophilicity = E<sub>HOMO</sub> + 9.12</p></td> 
       <td class="custom-bottom-td aleft" width="10.71%"><p style="text-align:left">1.6580</p></td> 
       <td class="custom-bottom-td aleft" width="10.72%"><p style="text-align:left">1.6605</p></td> 
       <td class="custom-bottom-td aleft" width="10.71%"><p style="text-align:left">1.6915</p></td> 
       <td class="custom-bottom-td aleft" width="10.72%"><p style="text-align:left">1.5005</p></td> 
       <td class="custom-bottom-td aleft" width="10.71%"><p style="text-align:left">2.5884</p></td> 
       <td class="custom-bottom-td aleft" width="10.72%"><p style="text-align:left">1.1135</p></td> 
      </tr> 
      <tr> 
       <td class="custom-top-td aleft" width="35.73%"><p style="text-align:left"><u>HF/</u><u>6</u><u>-</u><u>311G(</u><u>d</u><u>,</u><u>p</u><u>)</u></p></td> 
       <td class="custom-top-td aleft" width="10.71%"><p style="text-align:left"></p></td> 
       <td class="custom-top-td aleft" width="10.72%"><p style="text-align:left"></p></td> 
       <td class="custom-top-td aleft" width="10.71%"><p style="text-align:left"></p></td> 
       <td class="custom-top-td aleft" width="10.72%"><p style="text-align:left"></p></td> 
       <td class="custom-top-td aleft" width="10.71%"><p style="text-align:left"></p></td> 
       <td class="custom-top-td aleft" width="10.72%"><p style="text-align:left"></p></td> 
      </tr> 
      <tr> 
       <td class="aleft" width="35.73%"><p style="text-align:left">E (a.u)</p></td> 
       <td class="aleft" width="10.71%"><p style="text-align:left">−868.9400</p></td> 
       <td class="aleft" width="10.72%"><p style="text-align:left">−868.9230</p></td> 
       <td class="aleft" width="10.71%"><p style="text-align:left">−868.9450</p></td> 
       <td class="aleft" width="10.72%"><p style="text-align:left">−868.8644</p></td> 
       <td class="aleft" width="10.71%"><p style="text-align:left">−868.9160</p></td> 
       <td class="aleft" width="10.72%"><p style="text-align:left">−868.9110</p></td> 
      </tr> 
      <tr> 
       <td class="aleft" width="35.73%"><p style="text-align:left">Dipole moment (Debye)</p></td> 
       <td class="aleft" width="10.71%"><p style="text-align:left">3.2810</p></td> 
       <td class="aleft" width="10.72%"><p style="text-align:left">2.3210</p></td> 
       <td class="aleft" width="10.71%"><p style="text-align:left">2.7920</p></td> 
       <td class="aleft" width="10.72%"><p style="text-align:left">4.5550</p></td> 
       <td class="aleft" width="10.71%"><p style="text-align:left">1.5000</p></td> 
       <td class="aleft" width="10.72%"><p style="text-align:left">5.2720</p></td> 
      </tr> 
      <tr> 
       <td class="aleft" width="35.73%"><p style="text-align:left">E<sub>HOMO</sub> (eV)</p></td> 
       <td class="aleft" width="10.71%"><p style="text-align:left">−7.8080</p></td> 
       <td class="aleft" width="10.72%"><p style="text-align:left">−7.9520</p></td> 
       <td class="aleft" width="10.71%"><p style="text-align:left">−7.7510</p></td> 
       <td class="aleft" width="10.72%"><p style="text-align:left">−7.6200</p></td> 
       <td class="aleft" width="10.71%"><p style="text-align:left">−8.0520</p></td> 
       <td class="aleft" width="10.72%"><p style="text-align:left">−8.4110</p></td> 
      </tr> 
      <tr> 
       <td class="aleft" width="35.73%"><p style="text-align:left">E<sub>LUMO</sub> (eV)</p></td> 
       <td class="aleft" width="10.71%"><p style="text-align:left">2.0190</p></td> 
       <td class="aleft" width="10.72%"><p style="text-align:left">2.1780</p></td> 
       <td class="aleft" width="10.71%"><p style="text-align:left">1.7710</p></td> 
       <td class="aleft" width="10.72%"><p style="text-align:left">1.2220</p></td> 
       <td class="aleft" width="10.71%"><p style="text-align:left">2.2230</p></td> 
       <td class="aleft" width="10.72%"><p style="text-align:left">1.9120</p></td> 
      </tr> 
      <tr> 
       <td class="aleft" width="35.73%"><p style="text-align:left">∆E (eV)</p></td> 
       <td class="aleft" width="10.71%"><p style="text-align:left">9.8264</p></td> 
       <td class="aleft" width="10.72%"><p style="text-align:left">10.1300</p></td> 
       <td class="aleft" width="10.71%"><p style="text-align:left">9.5220</p></td> 
       <td class="aleft" width="10.72%"><p style="text-align:left">8.8421</p></td> 
       <td class="aleft" width="10.71%"><p style="text-align:left">10.2751</p></td> 
       <td class="aleft" width="10.72%"><p style="text-align:left">10.3227</p></td> 
      </tr> 
      <tr> 
       <td class="aleft" width="35.73%"><p style="text-align:left">IP = (−E<sub>HOMO</sub>)</p></td> 
       <td class="aleft" width="10.71%"><p style="text-align:left">7.8080</p></td> 
       <td class="aleft" width="10.72%"><p style="text-align:left">7.9520</p></td> 
       <td class="aleft" width="10.71%"><p style="text-align:left">7.7510</p></td> 
       <td class="aleft" width="10.72%"><p style="text-align:left">7.6200</p></td> 
       <td class="aleft" width="10.71%"><p style="text-align:left">8.0520</p></td> 
       <td class="aleft" width="10.72%"><p style="text-align:left">8.4110</p></td> 
      </tr> 
      <tr> 
       <td class="aleft" width="35.73%"><p style="text-align:left">EA = (−E<sub>LUMO</sub>)</p></td> 
       <td class="aleft" width="10.71%"><p style="text-align:left">2.0190</p></td> 
       <td class="aleft" width="10.72%"><p style="text-align:left">2.1780</p></td> 
       <td class="aleft" width="10.71%"><p style="text-align:left">1.7710</p></td> 
       <td class="aleft" width="10.72%"><p style="text-align:left">1.2220</p></td> 
       <td class="aleft" width="10.71%"><p style="text-align:left">2.2230</p></td> 
       <td class="aleft" width="10.72%"><p style="text-align:left">1.9120</p></td> 
      </tr> 
      <tr> 
       <td class="aleft" width="35.73%"><p style="text-align:left">Hardness (η) = (IP − EA)/2</p></td> 
       <td class="aleft" width="10.71%"><p style="text-align:left">2.8945</p></td> 
       <td class="aleft" width="10.72%"><p style="text-align:left">2.8870</p></td> 
       <td class="aleft" width="10.71%"><p style="text-align:left">2.9755</p></td> 
       <td class="aleft" width="10.72%"><p style="text-align:left">3.1990</p></td> 
       <td class="aleft" width="10.71%"><p style="text-align:left">2.9145</p></td> 
       <td class="aleft" width="10.72%"><p style="text-align:left">3.2495</p></td> 
      </tr> 
      <tr> 
       <td class="aleft" width="35.73%"><p style="text-align:left">Softness (1/η)</p></td> 
       <td class="aleft" width="10.71%"><p style="text-align:left">0.3455</p></td> 
       <td class="aleft" width="10.72%"><p style="text-align:left">0.3463</p></td> 
       <td class="aleft" width="10.71%"><p style="text-align:left">0.3361</p></td> 
       <td class="aleft" width="10.72%"><p style="text-align:left">0.3222</p></td> 
       <td class="aleft" width="10.71%"><p style="text-align:left">0.3431</p></td> 
       <td class="aleft" width="10.72%"><p style="text-align:left">0.3077</p></td> 
      </tr> 
      <tr> 
       <td class="aleft" width="35.73%"><p style="text-align:left">Electronegativity index χ = (IP + EA)/2</p></td> 
       <td class="aleft" width="10.71%"><p style="text-align:left">4.9135</p></td> 
       <td class="aleft" width="10.72%"><p style="text-align:left">5.0650</p></td> 
       <td class="aleft" width="10.71%"><p style="text-align:left">4.7610</p></td> 
       <td class="aleft" width="10.72%"><p style="text-align:left">4.4210</p></td> 
       <td class="aleft" width="10.71%"><p style="text-align:left">5.1375</p></td> 
       <td class="aleft" width="10.72%"><p style="text-align:left">5.1765</p></td> 
      </tr> 
      <tr> 
       <td class="aleft" width="35.73%"><p style="text-align:left">Chemical potential (μ) = −χ</p></td> 
       <td class="aleft" width="10.71%"><p style="text-align:left">−4.9135</p></td> 
       <td class="aleft" width="10.72%"><p style="text-align:left">−5.0650</p></td> 
       <td class="aleft" width="10.71%"><p style="text-align:left">−4.7610</p></td> 
       <td class="aleft" width="10.72%"><p style="text-align:left">−4.4210</p></td> 
       <td class="aleft" width="10.71%"><p style="text-align:left">−5.1375</p></td> 
       <td class="aleft" width="10.72%"><p style="text-align:left">−5.1765</p></td> 
      </tr> 
      <tr> 
       <td class="aleft" width="35.73%"><p style="text-align:left">Electrophilicity (ω = 2/2𝜂)</p></td> 
       <td class="aleft" width="10.71%"><p style="text-align:left">6.3717</p></td> 
       <td class="aleft" width="10.72%"><p style="text-align:left">6.7976</p></td> 
       <td class="aleft" width="10.71%"><p style="text-align:left">3.8747</p></td> 
       <td class="aleft" width="10.72%"><p style="text-align:left">3.0548</p></td> 
       <td class="aleft" width="10.71%"><p style="text-align:left">6.8931</p></td> 
       <td class="aleft" width="10.72%"><p style="text-align:left">4.1237</p></td> 
      </tr> 
      <tr> 
       <td class="aleft" width="35.73%"><p style="text-align:left">Nucleophilicity = E<sub>HOMO</sub> + 9.12</p></td> 
       <td class="aleft" width="10.71%"><p style="text-align:left">1.3120</p></td> 
       <td class="aleft" width="10.72%"><p style="text-align:left">1.1680</p></td> 
       <td class="aleft" width="10.71%"><p style="text-align:left">1.3690</p></td> 
       <td class="aleft" width="10.72%"><p style="text-align:left">1.5200</p></td> 
       <td class="aleft" width="10.71%"><p style="text-align:left">1.0680</p></td> 
       <td class="aleft" width="10.72%"><p style="text-align:left">0.7090</p></td> 
      </tr> 
     </table>
    </table-wrap>
    <p>Stable, reactive.</p>
    <p>
     <xref ref-type="bibr" rid="scirp.145431-"></xref>All the three DFT methods used in the optimization: DFT/B3LYP, DFT/B3PW91, and DFT/WB97XD with the same basis set, predict that among the six tautomeric forms, the diazo-1-enyl-1-ol form (1e) is the most reactive one whereas, the phenyldiazenyl-3-(2-phenylhydrazono)-propane-1-ol (1f) found to be the most stable one, <xref ref-type="fig" rid="fig8">
      Figure 8
     </xref>. and all these methods favor the stability orders as 1f ≥ 1b &gt; 1a &gt; 1d &gt; 1c &gt; 1e, 1f ≥ 1b &gt; 1c &gt; 1a &gt; 1d &gt; 1e and 1f ≥ 1b &gt; 1a &gt;1d &gt; 1c &gt; 1e, respectively. The order of stability obtained by the three DFT methods coincides well, with the most stable tautomer and the most reactive one (<xref ref-type="table" rid="table1">
      Table 1
     </xref>). These results are consistent with the energy gap obtained from the optimization of the conformer (1e) with DFT methods. Moreover, the lowering in the HOMO and LUMO energy gap explains the eventual charge transfer interactions that take place within the molecule.</p>
    <p>II.2. Mulliken population analysis</p>
    <p>
     <xref ref-type="bibr" rid="scirp.145431-"></xref>The bonding capability of a molecule depends on the electronic charge on the chelating atoms. The Mulliken population analysis obtained the atomic charge values <xref ref-type="bibr" rid="scirp.145431-38">
      [38]
     </xref>. Mulliken analysis is the most common population analysis method. Mulliken atomic charge calculation has a significant role in applying quantum chemical calculations to molecular systems because atomic charges affect some properties of molecular systems including dipole moment which reflects the molecular charge distribution and acts as a vector in three dimensions. Therefore, it can be used as a descriptor to depict the charge movement across the molecule. It also has been used to describe the electrostatic potential surfaces <xref ref-type="bibr" rid="scirp.145431-39">
      [39]
     </xref>-<xref ref-type="bibr" rid="scirp.145431-41">
      [41]
     </xref>. The total atomic charge values of (1f) obtained by Mulliken population analysis in the applied methods are listed in <xref ref-type="table" rid="table2">
      Table 2
     </xref> all the hydrogen atoms have a net positive charge. The obtained atomic charge shows that the charges on the more stable tautomer’s C1, C2, C8, C18, and C29 atoms are positively charged as they are adjacent to electron acceptor nitrogen atoms. In contrast, the remaining carbons and nitrogen atoms are negatively charged. The results suggest that the atoms bonded to the hydrogen atom and all oxygen atoms are electron acceptors, and indicate the charge transfer from O to H. On the other hand, the hydrogen-bonding length of N4-N3-H…N1-N2 in tautomer (1a) is larger than that of C-O-H…N1-N2. in tautomer (1b). This shows that the charge on the O atom of the H-O bond is less than that on N atom of the N3-H bond in the molecule. At the same time, H34 is more acidic due to more positive charge. As expected, the results show that the nitrogen atom (N4) charge in the imine group is the more negatively charged one. They are considering the applied method used in the atomic charge calculation. Continuously, <xref ref-type="table" rid="table3">
      Table 3
     </xref> shows the Mulliken population analysis of tautomer (1e) calculated at HF/6-311G(d,p), DFT/B3LYP/6-311G(d,p), DFT/B3PW91/6-311G(d,p) and DFT/WB97XD/6-311G(d,p) which confirm the charge transfer and from this point of view the results reflect the reactivity of tautomer (1e) and the stability of the tautomer (1f), one can conclude that the computed charges are in harmony with the energy gaps tabulated in <xref ref-type="table" rid="table1">
      Table 1
     </xref>.</p>
    <table-wrap id="table2">
     <label>
      <xref ref-type="table" rid="table2">
       Table 2
      </xref></label>
     <caption>
      <title>
       <xref ref-type="bibr" rid="scirp.145431-"></xref>Table 2. Mulliken atomic charges of tautomer (1f) calculated by HF/6-311G(d,p), DFT/B3LYP/6-311G(d,p), DFT/B3PW91/6-311G(d,p) and DFT/WB97XD/6-311G(d,p) respectively.</title>
     </caption>
     <table class="MsoTableGrid custom-table" border="0" cellspacing="0" cellpadding="0"> 
      <tr> 
       <td class="aleft" width="9.24%"><p style="text-align:left"></p></td> 
       <td class="aleft" width="11.47%"><p style="text-align:left">Atom</p></td> 
       <td class="custom-bottom-td acenter" width="79.28%" colspan="4"><p style="text-align:center">Calculated Method</p></td> 
      </tr> 
      <tr> 
       <td class="custom-bottom-td aleft" width="9.24%"><p style="text-align:left"></p></td> 
       <td class="custom-bottom-td aleft" width="11.47%"><p style="text-align:left"></p></td> 
       <td class="custom-bottom-td custom-top-td acenter" width="15.54%"><p style="text-align:center">HF</p></td> 
       <td class="custom-bottom-td custom-top-td acenter" width="20.92%"><p style="text-align:center">Charge/DFT/B3LYP</p></td> 
       <td class="custom-bottom-td custom-top-td acenter" width="21.49%"><p style="text-align:center">Charge/DFT/B3PW91</p></td> 
       <td class="custom-bottom-td custom-top-td acenter" width="21.34%"><p style="text-align:center">Charge/DFT/WB97XD</p></td> 
      </tr> 
      <tr> 
       <td class="custom-top-td aleft" width="9.24%"><p style="text-align:left">1</p></td> 
       <td class="custom-top-td aleft" width="11.47%"><p style="text-align:left">C</p></td> 
       <td class="custom-top-td acenter" width="15.54%"><p style="text-align:center">0.057048</p></td> 
       <td class="custom-top-td acenter" width="20.92%"><p style="text-align:center">0.073755</p></td> 
       <td class="custom-top-td acenter" width="21.49%"><p style="text-align:center">0.047159</p></td> 
       <td class="custom-top-td acenter" width="21.34%"><p style="text-align:center">0.017179</p></td> 
      </tr> 
      <tr> 
       <td class="aleft" width="9.24%"><p style="text-align:left">2</p></td> 
       <td class="aleft" width="11.47%"><p style="text-align:left">C</p></td> 
       <td class="acenter" width="15.54%"><p style="text-align:center">0.053104</p></td> 
       <td class="acenter" width="20.92%"><p style="text-align:center">0.036765</p></td> 
       <td class="acenter" width="21.49%"><p style="text-align:center">0.045487</p></td> 
       <td class="acenter" width="21.34%"><p style="text-align:center">0.031355</p></td> 
      </tr> 
      <tr> 
       <td class="aleft" width="9.24%"><p style="text-align:left">3</p></td> 
       <td class="aleft" width="11.47%"><p style="text-align:left">N</p></td> 
       <td class="acenter" width="15.54%"><p style="text-align:center">−0.164662</p></td> 
       <td class="acenter" width="20.92%"><p style="text-align:center">−0.122997</p></td> 
       <td class="acenter" width="21.49%"><p style="text-align:center">−0.185695</p></td> 
       <td class="acenter" width="21.34%"><p style="text-align:center">−0.160447</p></td> 
      </tr> 
      <tr> 
       <td class="aleft" width="9.24%"><p style="text-align:left">4</p></td> 
       <td class="aleft" width="11.47%"><p style="text-align:left">N</p></td> 
       <td class="acenter" width="15.54%"><p style="text-align:center">−0.580637</p></td> 
       <td class="acenter" width="20.92%"><p style="text-align:center">−0.317974</p></td> 
       <td class="acenter" width="21.49%"><p style="text-align:center">−0.432116</p></td> 
       <td class="acenter" width="21.34%"><p style="text-align:center">−0.435756</p></td> 
      </tr> 
      <tr> 
       <td class="aleft" width="9.24%"><p style="text-align:left">5</p></td> 
       <td class="aleft" width="11.47%"><p style="text-align:left">C</p></td> 
       <td class="acenter" width="15.54%"><p style="text-align:center">−0.175395</p></td> 
       <td class="acenter" width="20.92%"><p style="text-align:center">−0.093650</p></td> 
       <td class="acenter" width="21.49%"><p style="text-align:center">−0.139088</p></td> 
       <td class="acenter" width="21.34%"><p style="text-align:center">−0.152116</p></td> 
      </tr> 
      <tr> 
       <td class="aleft" width="9.24%"><p style="text-align:left">6</p></td> 
       <td class="aleft" width="11.47%"><p style="text-align:left">C</p></td> 
       <td class="acenter" width="15.54%"><p style="text-align:center">−0.090516</p></td> 
       <td class="acenter" width="20.92%"><p style="text-align:center">−0.093903</p></td> 
       <td class="acenter" width="21.49%"><p style="text-align:center">−0.126341</p></td> 
       <td class="acenter" width="21.34%"><p style="text-align:center">−0.127716</p></td> 
      </tr> 
      <tr> 
       <td class="aleft" width="9.24%"><p style="text-align:left">7</p></td> 
       <td class="aleft" width="11.47%"><p style="text-align:left">C</p></td> 
       <td class="acenter" width="15.54%"><p style="text-align:center">−0.151101</p></td> 
       <td class="acenter" width="20.92%"><p style="text-align:center">−0.051683</p></td> 
       <td class="acenter" width="21.49%"><p style="text-align:center">−0.109263</p></td> 
       <td class="acenter" width="21.34%"><p style="text-align:center">−0.124656</p></td> 
      </tr> 
      <tr> 
       <td class="aleft" width="9.24%"><p style="text-align:left">8</p></td> 
       <td class="aleft" width="11.47%"><p style="text-align:left">C</p></td> 
       <td class="acenter" width="15.54%"><p style="text-align:center">0.177524</p></td> 
       <td class="acenter" width="20.92%"><p style="text-align:center">0.066421</p></td> 
       <td class="acenter" width="21.49%"><p style="text-align:center">0.077230</p></td> 
       <td class="acenter" width="21.34%"><p style="text-align:center">0.079526</p></td> 
      </tr> 
      <tr> 
       <td class="aleft" width="9.24%"><p style="text-align:left">9</p></td> 
       <td class="aleft" width="11.47%"><p style="text-align:left">C</p></td> 
       <td class="acenter" width="15.54%"><p style="text-align:center">−0.170995</p></td> 
       <td class="acenter" width="20.92%"><p style="text-align:center">−0.075880</p></td> 
       <td class="acenter" width="21.49%"><p style="text-align:center">−0.118448</p></td> 
       <td class="acenter" width="21.34%"><p style="text-align:center">−0.138967</p></td> 
      </tr> 
      <tr> 
       <td class="aleft" width="9.24%"><p style="text-align:left">10</p></td> 
       <td class="aleft" width="11.47%"><p style="text-align:left">C</p></td> 
       <td class="acenter" width="15.54%"><p style="text-align:center">−0.101567</p></td> 
       <td class="acenter" width="20.92%"><p style="text-align:center">−0.107879</p></td> 
       <td class="acenter" width="21.49%"><p style="text-align:center">−0.140992</p></td> 
       <td class="acenter" width="21.34%"><p style="text-align:center">−0.138669</p></td> 
      </tr> 
      <tr> 
       <td class="aleft" width="9.24%"><p style="text-align:left">11</p></td> 
       <td class="aleft" width="11.47%"><p style="text-align:left">H</p></td> 
       <td class="acenter" width="15.54%"><p style="text-align:center">0.107771</p></td> 
       <td class="acenter" width="20.92%"><p style="text-align:center">0.089295</p></td> 
       <td class="acenter" width="21.49%"><p style="text-align:center">0.116468</p></td> 
       <td class="acenter" width="21.34%"><p style="text-align:center">0.119815</p></td> 
      </tr> 
      <tr> 
       <td class="aleft" width="9.24%"><p style="text-align:left">12</p></td> 
       <td class="aleft" width="11.47%"><p style="text-align:left">H</p></td> 
       <td class="acenter" width="15.54%"><p style="text-align:center">0.113939</p></td> 
       <td class="acenter" width="20.92%"><p style="text-align:center">0.092398</p></td> 
       <td class="acenter" width="21.49%"><p style="text-align:center">0.119161</p></td> 
       <td class="acenter" width="21.34%"><p style="text-align:center">0.123043</p></td> 
      </tr> 
      <tr> 
       <td class="aleft" width="9.24%"><p style="text-align:left">13</p></td> 
       <td class="aleft" width="11.47%"><p style="text-align:left">H</p></td> 
       <td class="acenter" width="15.54%"><p style="text-align:center">0.097177</p></td> 
       <td class="acenter" width="20.92%"><p style="text-align:center">0.097545</p></td> 
       <td class="acenter" width="21.49%"><p style="text-align:center">0.102494</p></td> 
       <td class="acenter" width="21.34%"><p style="text-align:center">0.104848</p></td> 
      </tr> 
      <tr> 
       <td class="aleft" width="9.24%"><p style="text-align:left">14</p></td> 
       <td class="aleft" width="11.47%"><p style="text-align:left">H</p></td> 
       <td class="acenter" width="15.54%"><p style="text-align:center">0.104401</p></td> 
       <td class="acenter" width="20.92%"><p style="text-align:center">0.070694</p></td> 
       <td class="acenter" width="21.49%"><p style="text-align:center">0.119825</p></td> 
       <td class="acenter" width="21.34%"><p style="text-align:center">0.113646</p></td> 
      </tr> 
      <tr> 
       <td class="aleft" width="9.24%"><p style="text-align:left">15</p></td> 
       <td class="aleft" width="11.47%"><p style="text-align:left">H</p></td> 
       <td class="acenter" width="15.54%"><p style="text-align:center">0.110960</p></td> 
       <td class="acenter" width="20.92%"><p style="text-align:center">0.082217</p></td> 
       <td class="acenter" width="21.49%"><p style="text-align:center">0.115592</p></td> 
       <td class="acenter" width="21.34%"><p style="text-align:center">0.120178</p></td> 
      </tr> 
      <tr> 
       <td class="aleft" width="9.24%"><p style="text-align:left">16</p></td> 
       <td class="aleft" width="11.47%"><p style="text-align:left">N</p></td> 
       <td class="acenter" width="15.54%"><p style="text-align:center">−0.244860</p></td> 
       <td class="acenter" width="20.92%"><p style="text-align:center">−0.170849</p></td> 
       <td class="acenter" width="21.49%"><p style="text-align:center">−0.226444</p></td> 
       <td class="acenter" width="21.34%"><p style="text-align:center">−0.200961</p></td> 
      </tr> 
      <tr> 
       <td class="aleft" width="9.24%"><p style="text-align:left">17</p></td> 
       <td class="aleft" width="11.47%"><p style="text-align:left">N</p></td> 
       <td class="acenter" width="15.54%"><p style="text-align:center">−0.267627</p></td> 
       <td class="acenter" width="20.92%"><p style="text-align:center">−0.204485</p></td> 
       <td class="acenter" width="21.49%"><p style="text-align:center">−0.227480</p></td> 
       <td class="acenter" width="21.34%"><p style="text-align:center">−0.206215</p></td> 
      </tr> 
      <tr> 
       <td class="aleft" width="9.24%"><p style="text-align:left">18</p></td> 
       <td class="aleft" width="11.47%"><p style="text-align:left">C</p></td> 
       <td class="acenter" width="15.54%"><p style="text-align:center">0.078805</p></td> 
       <td class="acenter" width="20.92%"><p style="text-align:center">0.017186</p></td> 
       <td class="acenter" width="21.49%"><p style="text-align:center">0.033237</p></td> 
       <td class="acenter" width="21.34%"><p style="text-align:center">0.027140</p></td> 
      </tr> 
      <tr> 
       <td class="aleft" width="9.24%"><p style="text-align:left">19</p></td> 
       <td class="aleft" width="11.47%"><p style="text-align:left">C</p></td> 
       <td class="acenter" width="15.54%"><p style="text-align:center">−0.040487</p></td> 
       <td class="acenter" width="20.92%"><p style="text-align:center">−0.016570</p></td> 
       <td class="acenter" width="21.49%"><p style="text-align:center">0.034307</p></td> 
       <td class="acenter" width="21.34%"><p style="text-align:center">−0.050775</p></td> 
      </tr> 
      <tr> 
       <td class="aleft" width="9.24%"><p style="text-align:left">20</p></td> 
       <td class="aleft" width="11.47%"><p style="text-align:left">C</p></td> 
       <td class="acenter" width="15.54%"><p style="text-align:center">−0.120540</p></td> 
       <td class="acenter" width="20.92%"><p style="text-align:center">−0.096326</p></td> 
       <td class="acenter" width="21.49%"><p style="text-align:center">−0.123671</p></td> 
       <td class="acenter" width="21.34%"><p style="text-align:center">−0.128928</p></td> 
      </tr> 
      <tr> 
       <td class="aleft" width="9.24%"><p style="text-align:left">21</p></td> 
       <td class="aleft" width="11.47%"><p style="text-align:left">C</p></td> 
       <td class="acenter" width="15.54%"><p style="text-align:center">−0.095853</p></td> 
       <td class="acenter" width="20.92%"><p style="text-align:center">−0.078341</p></td> 
       <td class="acenter" width="21.49%"><p style="text-align:center">−0.100006</p></td> 
       <td class="acenter" width="21.34%"><p style="text-align:center">−0.107334</p></td> 
      </tr> 
      <tr> 
       <td class="aleft" width="9.24%"><p style="text-align:left">22</p></td> 
       <td class="aleft" width="11.47%"><p style="text-align:left">C</p></td> 
       <td class="acenter" width="15.54%"><p style="text-align:center">−0.117843</p></td> 
       <td class="acenter" width="20.92%"><p style="text-align:center">−0.091789</p></td> 
       <td class="acenter" width="21.49%"><p style="text-align:center">−0.118521</p></td> 
       <td class="acenter" width="21.34%"><p style="text-align:center">−0.124305</p></td> 
      </tr> 
      <tr> 
       <td class="aleft" width="9.24%"><p style="text-align:left">23</p></td> 
       <td class="aleft" width="11.47%"><p style="text-align:left">C</p></td> 
       <td class="acenter" width="15.54%"><p style="text-align:center">−0.072912</p></td> 
       <td class="acenter" width="20.92%"><p style="text-align:center">−0.040977</p></td> 
       <td class="acenter" width="21.49%"><p style="text-align:center">−0.070557</p></td> 
       <td class="acenter" width="21.34%"><p style="text-align:center">−0.078631</p></td> 
      </tr> 
      <tr> 
       <td class="aleft" width="9.24%"><p style="text-align:left">24</p></td> 
       <td class="aleft" width="11.47%"><p style="text-align:left">H</p></td> 
       <td class="acenter" width="15.54%"><p style="text-align:center">0.136881</p></td> 
       <td class="acenter" width="20.92%"><p style="text-align:center">0.106840</p></td> 
       <td class="acenter" width="21.49%"><p style="text-align:center">0.132830</p></td> 
       <td class="acenter" width="21.34%"><p style="text-align:center">0.136579</p></td> 
      </tr> 
      <tr> 
       <td class="aleft" width="9.24%"><p style="text-align:left">25</p></td> 
       <td class="aleft" width="11.47%"><p style="text-align:left">H</p></td> 
       <td class="acenter" width="15.54%"><p style="text-align:center">0.128596</p></td> 
       <td class="acenter" width="20.92%"><p style="text-align:center">0.101548</p></td> 
       <td class="acenter" width="21.49%"><p style="text-align:center">0.133074</p></td> 
       <td class="acenter" width="21.34%"><p style="text-align:center">0.138244</p></td> 
      </tr> 
      <tr> 
       <td class="aleft" width="9.24%"><p style="text-align:left">26</p></td> 
       <td class="aleft" width="11.47%"><p style="text-align:left">H</p></td> 
       <td class="acenter" width="15.54%"><p style="text-align:center">0.129739</p></td> 
       <td class="acenter" width="20.92%"><p style="text-align:center">0.102465</p></td> 
       <td class="acenter" width="21.49%"><p style="text-align:center">0.133588</p></td> 
       <td class="acenter" width="21.34%"><p style="text-align:center">0.138683</p></td> 
      </tr> 
      <tr> 
       <td class="aleft" width="9.24%"><p style="text-align:left">27</p></td> 
       <td class="aleft" width="11.47%"><p style="text-align:left">H</p></td> 
       <td class="acenter" width="15.54%"><p style="text-align:center">0.127471</p></td> 
       <td class="acenter" width="20.92%"><p style="text-align:center">0.103335</p></td> 
       <td class="acenter" width="21.49%"><p style="text-align:center">0.131863</p></td> 
       <td class="acenter" width="21.34%"><p style="text-align:center">0.137188</p></td> 
      </tr> 
      <tr> 
       <td class="aleft" width="9.24%"><p style="text-align:left">28</p></td> 
       <td class="aleft" width="11.47%"><p style="text-align:left">H</p></td> 
       <td class="acenter" width="15.54%"><p style="text-align:center">0.129074</p></td> 
       <td class="acenter" width="20.92%"><p style="text-align:center">0.119816</p></td> 
       <td class="acenter" width="21.49%"><p style="text-align:center">0.127932</p></td> 
       <td class="acenter" width="21.34%"><p style="text-align:center">0.133036</p></td> 
      </tr> 
      <tr> 
       <td class="aleft" width="9.24%"><p style="text-align:left">29</p></td> 
       <td class="aleft" width="11.47%"><p style="text-align:left">C</p></td> 
       <td class="acenter" width="15.54%"><p style="text-align:center">0.289137</p></td> 
       <td class="acenter" width="20.92%"><p style="text-align:center">0.144048</p></td> 
       <td class="acenter" width="21.49%"><p style="text-align:center">0.159710</p></td> 
       <td class="acenter" width="21.34%"><p style="text-align:center">0.164306</p></td> 
      </tr> 
      <tr> 
       <td class="aleft" width="9.24%"><p style="text-align:left">30</p></td> 
       <td class="aleft" width="11.47%"><p style="text-align:left">O</p></td> 
       <td class="acenter" width="15.54%"><p style="text-align:center">−0.680627</p></td> 
       <td class="acenter" width="20.92%"><p style="text-align:center">0.466633</p></td> 
       <td class="acenter" width="21.49%"><p style="text-align:center">−0.501802</p></td> 
       <td class="acenter" width="21.34%"><p style="text-align:center">−0.520232</p></td> 
      </tr> 
      <tr> 
       <td class="aleft" width="9.24%"><p style="text-align:left">31</p></td> 
       <td class="aleft" width="11.47%"><p style="text-align:left">H</p></td> 
       <td class="acenter" width="15.54%"><p style="text-align:center">0.170540</p></td> 
       <td class="acenter" width="20.92%"><p style="text-align:center">0.130662</p></td> 
       <td class="acenter" width="21.49%"><p style="text-align:center">0.166895</p></td> 
       <td class="acenter" width="21.34%"><p style="text-align:center">0.173612</p></td> 
      </tr> 
      <tr> 
       <td class="aleft" width="9.24%"><p style="text-align:left">32</p></td> 
       <td class="aleft" width="11.47%"><p style="text-align:left">H</p></td> 
       <td class="acenter" width="15.54%"><p style="text-align:center">0.133678</p></td> 
       <td class="acenter" width="20.92%"><p style="text-align:center">0.091733</p></td> 
       <td class="acenter" width="21.49%"><p style="text-align:center">0.134209</p></td> 
       <td class="acenter" width="21.34%"><p style="text-align:center">0.130732</p></td> 
      </tr> 
      <tr> 
       <td class="aleft" width="9.24%"><p style="text-align:left">33</p></td> 
       <td class="aleft" width="11.47%"><p style="text-align:left">H</p></td> 
       <td class="acenter" width="15.54%"><p style="text-align:center">0.349687</p></td> 
       <td class="acenter" width="20.92%"><p style="text-align:center">0.226486</p></td> 
       <td class="acenter" width="21.49%"><p style="text-align:center">0.268810</p></td> 
       <td class="acenter" width="21.34%"><p style="text-align:center">0.281571</p></td> 
      </tr> 
      <tr> 
       <td class="aleft" width="9.24%"><p style="text-align:left">34</p></td> 
       <td class="aleft" width="11.47%"><p style="text-align:left">H</p></td> 
       <td class="acenter" width="15.54%"><p style="text-align:center">0.580091</p></td> 
       <td class="acenter" width="20.92%"><p style="text-align:center">0.276727</p></td> 
       <td class="acenter" width="21.49%"><p style="text-align:center">0.489166</p></td> 
       <td class="acenter" width="21.34%"><p style="text-align:center">0.525024</p></td> 
      </tr> 
     </table>
    </table-wrap>
    <table-wrap id="table3">
     <label>
      <xref ref-type="table" rid="table3">
       Table 3
      </xref></label>
     <caption>
      <title>
       <xref ref-type="bibr" rid="scirp.145431-"></xref>Table 3. Mulliken atomic charges of tautomer (1e) calculated by HF/6-311G(d,p), DFT/B3LYP/6-311G(d,p), DFT/B3PW91/6-311G(d,p) and DFT/WB97XD/6-311G(d,p) respectively.</title>
     </caption>
     <table class="MsoTableGrid custom-table" border="0" cellspacing="0" cellpadding="0"> 
      <tr> 
       <td class="aleft" width="9.30%"><p style="text-align:left"></p></td> 
       <td class="aleft" width="11.30%"><p style="text-align:left">Atom</p></td> 
       <td class="custom-bottom-td acenter" width="79.41%" colspan="4"><p style="text-align:center">Calculated Method</p></td> 
      </tr> 
      <tr> 
       <td class="custom-bottom-td aleft" width="9.30%"><p style="text-align:left"></p></td> 
       <td class="custom-bottom-td aleft" width="11.30%"><p style="text-align:left"></p></td> 
       <td class="custom-bottom-td custom-top-td acenter" width="15.72%"><p style="text-align:center">HF</p></td> 
       <td class="custom-bottom-td custom-top-td acenter" width="20.92%"><p style="text-align:center">Charge/DFT B3LYP</p></td> 
       <td class="custom-bottom-td custom-top-td acenter" width="21.34%"><p style="text-align:center">Charge/DFT/B3PW91</p></td> 
       <td class="custom-bottom-td custom-top-td acenter" width="21.43%"><p style="text-align:center">Charge/DFT/WB97XD</p></td> 
      </tr> 
      <tr> 
       <td class="custom-top-td aleft" width="9.30%"><p style="text-align:left">1</p></td> 
       <td class="custom-top-td aleft" width="11.30%"><p style="text-align:left">C</p></td> 
       <td class="custom-top-td acenter" width="15.72%"><p style="text-align:center">0.037158</p></td> 
       <td class="custom-top-td acenter" width="20.92%"><p style="text-align:center">0.038812</p></td> 
       <td class="custom-top-td acenter" width="21.34%"><p style="text-align:center">0.043780</p></td> 
       <td class="custom-top-td acenter" width="21.43%"><p style="text-align:center">0.015076</p></td> 
      </tr> 
      <tr> 
       <td class="aleft" width="9.30%"><p style="text-align:left">2</p></td> 
       <td class="aleft" width="11.30%"><p style="text-align:left">C</p></td> 
       <td class="acenter" width="15.72%"><p style="text-align:center">0.000101</p></td> 
       <td class="acenter" width="20.92%"><p style="text-align:center">0.030511</p></td> 
       <td class="acenter" width="21.34%"><p style="text-align:center">0.038686</p></td> 
       <td class="acenter" width="21.43%"><p style="text-align:center">0.017524</p></td> 
      </tr> 
      <tr> 
       <td class="aleft" width="9.30%"><p style="text-align:left">3</p></td> 
       <td class="aleft" width="11.30%"><p style="text-align:left">N</p></td> 
       <td class="acenter" width="15.72%"><p style="text-align:center">−0.199493</p></td> 
       <td class="acenter" width="20.92%"><p style="text-align:center">−0.187717</p></td> 
       <td class="acenter" width="21.34%"><p style="text-align:center">−0.206070</p></td> 
       <td class="acenter" width="21.43%"><p style="text-align:center">−0.185692</p></td> 
      </tr> 
      <tr> 
       <td class="aleft" width="9.30%"><p style="text-align:left">4</p></td> 
       <td class="aleft" width="11.30%"><p style="text-align:left">N</p></td> 
       <td class="acenter" width="15.72%"><p style="text-align:center">−0.472338</p></td> 
       <td class="acenter" width="20.92%"><p style="text-align:center">−0.314944</p></td> 
       <td class="acenter" width="21.34%"><p style="text-align:center">−0.340886</p></td> 
       <td class="acenter" width="21.43%"><p style="text-align:center">−0.339408</p></td> 
      </tr> 
      <tr> 
       <td class="aleft" width="9.30%"><p style="text-align:left">5</p></td> 
       <td class="aleft" width="11.30%"><p style="text-align:left">C</p></td> 
       <td class="acenter" width="15.72%"><p style="text-align:center">0.129404</p></td> 
       <td class="acenter" width="20.92%"><p style="text-align:center">−0.091283</p></td> 
       <td class="acenter" width="21.34%"><p style="text-align:center">−0.101101</p></td> 
       <td class="acenter" width="21.43%"><p style="text-align:center">−0.112910</p></td> 
      </tr> 
      <tr> 
       <td class="aleft" width="9.30%"><p style="text-align:left">6</p></td> 
       <td class="aleft" width="11.30%"><p style="text-align:left">C</p></td> 
       <td class="acenter" width="15.72%"><p style="text-align:center">−0.077379</p></td> 
       <td class="acenter" width="20.92%"><p style="text-align:center">−0.093191</p></td> 
       <td class="acenter" width="21.34%"><p style="text-align:center">−0.105727</p></td> 
       <td class="acenter" width="21.43%"><p style="text-align:center">−0.107538</p></td> 
      </tr> 
      <tr> 
       <td class="aleft" width="9.30%"><p style="text-align:left">7</p></td> 
       <td class="aleft" width="11.30%"><p style="text-align:left">C</p></td> 
       <td class="acenter" width="15.72%"><p style="text-align:center">−0.094418</p></td> 
       <td class="acenter" width="20.92%"><p style="text-align:center">−0.051430</p></td> 
       <td class="acenter" width="21.34%"><p style="text-align:center">−0.061299</p></td> 
       <td class="acenter" width="21.43%"><p style="text-align:center">−0.074947</p></td> 
      </tr> 
      <tr> 
       <td class="aleft" width="9.30%"><p style="text-align:left">8</p></td> 
       <td class="aleft" width="11.30%"><p style="text-align:left">C</p></td> 
       <td class="acenter" width="15.72%"><p style="text-align:center">0.158042</p></td> 
       <td class="acenter" width="20.92%"><p style="text-align:center">0.057649</p></td> 
       <td class="acenter" width="21.34%"><p style="text-align:center">0.065920</p></td> 
       <td class="acenter" width="21.43%"><p style="text-align:center">0.066025</p></td> 
      </tr> 
      <tr> 
       <td class="aleft" width="9.30%"><p style="text-align:left">9</p></td> 
       <td class="aleft" width="11.30%"><p style="text-align:left">C</p></td> 
       <td class="acenter" width="15.72%"><p style="text-align:center">−0.131762</p></td> 
       <td class="acenter" width="20.92%"><p style="text-align:center">−0.078494</p></td> 
       <td class="acenter" width="21.34%"><p style="text-align:center">−0.086226</p></td> 
       <td class="acenter" width="21.43%"><p style="text-align:center">−0.103755</p></td> 
      </tr> 
      <tr> 
       <td class="aleft" width="9.30%"><p style="text-align:left">10</p></td> 
       <td class="aleft" width="11.30%"><p style="text-align:left">C</p></td> 
       <td class="acenter" width="15.72%"><p style="text-align:center">−0.086394</p></td> 
       <td class="acenter" width="20.92%"><p style="text-align:center">−0.105163</p></td> 
       <td class="acenter" width="21.34%"><p style="text-align:center">−0.117780</p></td> 
       <td class="acenter" width="21.43%"><p style="text-align:center">−0.116399</p></td> 
      </tr> 
      <tr> 
       <td class="aleft" width="9.30%"><p style="text-align:left">11</p></td> 
       <td class="aleft" width="11.30%"><p style="text-align:left">H</p></td> 
       <td class="acenter" width="15.72%"><p style="text-align:center">0.091745</p></td> 
       <td class="acenter" width="20.92%"><p style="text-align:center">0.092316</p></td> 
       <td class="acenter" width="21.34%"><p style="text-align:center">0.103436</p></td> 
       <td class="acenter" width="21.43%"><p style="text-align:center">0.105585</p></td> 
      </tr> 
      <tr> 
       <td class="aleft" width="9.30%"><p style="text-align:left">12</p></td> 
       <td class="aleft" width="11.30%"><p style="text-align:left">H</p></td> 
       <td class="acenter" width="15.72%"><p style="text-align:center">0.095975</p></td> 
       <td class="acenter" width="20.92%"><p style="text-align:center">0.094145</p></td> 
       <td class="acenter" width="21.34%"><p style="text-align:center">0.105257</p></td> 
       <td class="acenter" width="21.43%"><p style="text-align:center">0.107793</p></td> 
      </tr> 
      <tr> 
       <td class="aleft" width="9.30%"><p style="text-align:left">13</p></td> 
       <td class="aleft" width="11.30%"><p style="text-align:left">H</p></td> 
       <td class="acenter" width="15.72%"><p style="text-align:center">0.104421</p></td> 
       <td class="acenter" width="20.92%"><p style="text-align:center">0.097399</p></td> 
       <td class="acenter" width="21.34%"><p style="text-align:center">0.111288</p></td> 
       <td class="acenter" width="21.43%"><p style="text-align:center">0.114100</p></td> 
      </tr> 
      <tr> 
       <td class="aleft" width="9.30%"><p style="text-align:left">14</p></td> 
       <td class="aleft" width="11.30%"><p style="text-align:left">H</p></td> 
       <td class="acenter" width="15.72%"><p style="text-align:center">0.064906</p></td> 
       <td class="acenter" width="20.92%"><p style="text-align:center">0.072104</p></td> 
       <td class="acenter" width="21.34%"><p style="text-align:center">0.091432</p></td> 
       <td class="acenter" width="21.43%"><p style="text-align:center">0.080573</p></td> 
      </tr> 
      <tr> 
       <td class="aleft" width="9.30%"><p style="text-align:left">15</p></td> 
       <td class="aleft" width="11.30%"><p style="text-align:left">H</p></td> 
       <td class="acenter" width="15.72%"><p style="text-align:center">0.089321</p></td> 
       <td class="acenter" width="20.92%"><p style="text-align:center">0.088629</p></td> 
       <td class="acenter" width="21.34%"><p style="text-align:center">0.099299</p></td> 
       <td class="acenter" width="21.43%"><p style="text-align:center">0.101949</p></td> 
      </tr> 
      <tr> 
       <td class="aleft" width="9.30%"><p style="text-align:left">16</p></td> 
       <td class="aleft" width="11.30%"><p style="text-align:left">N</p></td> 
       <td class="acenter" width="15.72%"><p style="text-align:center">−0.252332</p></td> 
       <td class="acenter" width="20.92%"><p style="text-align:center">−0.170849</p></td> 
       <td class="acenter" width="21.34%"><p style="text-align:center">−0.283654</p></td> 
       <td class="acenter" width="21.43%"><p style="text-align:center">−0.271211</p></td> 
      </tr> 
      <tr> 
       <td class="aleft" width="9.30%"><p style="text-align:left">17</p></td> 
       <td class="aleft" width="11.30%"><p style="text-align:left">N</p></td> 
       <td class="acenter" width="15.72%"><p style="text-align:center">−0.151124</p></td> 
       <td class="acenter" width="20.92%"><p style="text-align:center">−0.192865</p></td> 
       <td class="acenter" width="21.34%"><p style="text-align:center">−0.212480</p></td> 
       <td class="acenter" width="21.43%"><p style="text-align:center">−0.172721</p></td> 
      </tr> 
      <tr> 
       <td class="aleft" width="9.30%"><p style="text-align:left">18</p></td> 
       <td class="aleft" width="11.30%"><p style="text-align:left">C</p></td> 
       <td class="acenter" width="15.72%"><p style="text-align:center">0.208413</p></td> 
       <td class="acenter" width="20.92%"><p style="text-align:center">0.159363</p></td> 
       <td class="acenter" width="21.34%"><p style="text-align:center">0.170318</p></td> 
       <td class="acenter" width="21.43%"><p style="text-align:center">0.166106</p></td> 
      </tr> 
      <tr> 
       <td class="aleft" width="9.30%"><p style="text-align:left">19</p></td> 
       <td class="aleft" width="11.30%"><p style="text-align:left">C</p></td> 
       <td class="acenter" width="15.72%"><p style="text-align:center">−0.055709</p></td> 
       <td class="acenter" width="20.92%"><p style="text-align:center">−0.037167</p></td> 
       <td class="acenter" width="21.34%"><p style="text-align:center">−0.038398</p></td> 
       <td class="acenter" width="21.43%"><p style="text-align:center">−0.052091</p></td> 
      </tr> 
      <tr> 
       <td class="aleft" width="9.30%"><p style="text-align:left">20</p></td> 
       <td class="aleft" width="11.30%"><p style="text-align:left">C</p></td> 
       <td class="acenter" width="15.72%"><p style="text-align:center">−0.083959</p></td> 
       <td class="acenter" width="20.92%"><p style="text-align:center">−0.091430</p></td> 
       <td class="acenter" width="21.34%"><p style="text-align:center">−0.104182</p></td> 
       <td class="acenter" width="21.43%"><p style="text-align:center">−0.106592</p></td> 
      </tr> 
      <tr> 
       <td class="aleft" width="9.30%"><p style="text-align:left">21</p></td> 
       <td class="aleft" width="11.30%"><p style="text-align:left">C</p></td> 
       <td class="acenter" width="15.72%"><p style="text-align:center">−0.097888</p></td> 
       <td class="acenter" width="20.92%"><p style="text-align:center">−0.085664</p></td> 
       <td class="acenter" width="21.34%"><p style="text-align:center">−0.095401</p></td> 
       <td class="acenter" width="21.43%"><p style="text-align:center">−0.101317</p></td> 
      </tr> 
      <tr> 
       <td class="aleft" width="9.30%"><p style="text-align:left">22</p></td> 
       <td class="aleft" width="11.30%"><p style="text-align:left">C</p></td> 
       <td class="acenter" width="15.72%"><p style="text-align:center">−0.087445</p></td> 
       <td class="acenter" width="20.92%"><p style="text-align:center">−0.093922</p></td> 
       <td class="acenter" width="21.34%"><p style="text-align:center">−0.105637</p></td> 
       <td class="acenter" width="21.43%"><p style="text-align:center">−0.108170</p></td> 
      </tr> 
      <tr> 
       <td class="aleft" width="9.30%"><p style="text-align:left">23</p></td> 
       <td class="aleft" width="11.30%"><p style="text-align:left">C</p></td> 
       <td class="acenter" width="15.72%"><p style="text-align:center">−0.124962</p></td> 
       <td class="acenter" width="20.92%"><p style="text-align:center">−0.111375</p></td> 
       <td class="acenter" width="21.34%"><p style="text-align:center">−0.123413</p></td> 
       <td class="acenter" width="21.43%"><p style="text-align:center">−0.129568</p></td> 
      </tr> 
      <tr> 
       <td class="aleft" width="9.30%"><p style="text-align:left">24</p></td> 
       <td class="aleft" width="11.30%"><p style="text-align:left">H</p></td> 
       <td class="acenter" width="15.72%"><p style="text-align:center">0.132395</p></td> 
       <td class="acenter" width="20.92%"><p style="text-align:center">0.120179</p></td> 
       <td class="acenter" width="21.34%"><p style="text-align:center">0.135246</p></td> 
       <td class="acenter" width="21.43%"><p style="text-align:center">0.138407</p></td> 
      </tr> 
      <tr> 
       <td class="aleft" width="9.30%"><p style="text-align:left">25</p></td> 
       <td class="aleft" width="11.30%"><p style="text-align:left">H</p></td> 
       <td class="acenter" width="15.72%"><p style="text-align:center">0.116551</p></td> 
       <td class="acenter" width="20.92%"><p style="text-align:center">0.106843</p></td> 
       <td class="acenter" width="21.34%"><p style="text-align:center">0.117397</p></td> 
       <td class="acenter" width="21.43%"><p style="text-align:center">0.123594</p></td> 
      </tr> 
      <tr> 
       <td class="aleft" width="9.30%"><p style="text-align:left">26</p></td> 
       <td class="aleft" width="11.30%"><p style="text-align:left">H</p></td> 
       <td class="acenter" width="15.72%"><p style="text-align:center">0.113968</p></td> 
       <td class="acenter" width="20.92%"><p style="text-align:center">0.103996</p></td> 
       <td class="acenter" width="21.34%"><p style="text-align:center">0.114895</p></td> 
       <td class="acenter" width="21.43%"><p style="text-align:center">0.121118</p></td> 
      </tr> 
      <tr> 
       <td class="aleft" width="9.30%"><p style="text-align:left">27</p></td> 
       <td class="aleft" width="11.30%"><p style="text-align:left">H</p></td> 
       <td class="acenter" width="15.72%"><p style="text-align:center">0.116886</p></td> 
       <td class="acenter" width="20.92%"><p style="text-align:center">0.106059</p></td> 
       <td class="acenter" width="21.34%"><p style="text-align:center">0.116445</p></td> 
       <td class="acenter" width="21.43%"><p style="text-align:center">0.123260</p></td> 
      </tr> 
      <tr> 
       <td class="aleft" width="9.30%"><p style="text-align:left">28</p></td> 
       <td class="aleft" width="11.30%"><p style="text-align:left">H</p></td> 
       <td class="acenter" width="15.72%"><p style="text-align:center">0.113499</p></td> 
       <td class="acenter" width="20.92%"><p style="text-align:center">0.106455</p></td> 
       <td class="acenter" width="21.34%"><p style="text-align:center">0.119344</p></td> 
       <td class="acenter" width="21.43%"><p style="text-align:center">0.124858</p></td> 
      </tr> 
      <tr> 
       <td class="aleft" width="9.30%"><p style="text-align:left">29</p></td> 
       <td class="aleft" width="11.30%"><p style="text-align:left">C</p></td> 
       <td class="acenter" width="15.72%"><p style="text-align:center">0.272978</p></td> 
       <td class="acenter" width="20.92%"><p style="text-align:center">0.141411</p></td> 
       <td class="acenter" width="21.34%"><p style="text-align:center">0.139320</p></td> 
       <td class="acenter" width="21.43%"><p style="text-align:center">0.143051</p></td> 
      </tr> 
      <tr> 
       <td class="aleft" width="9.30%"><p style="text-align:left">30</p></td> 
       <td class="aleft" width="11.30%"><p style="text-align:left">O</p></td> 
       <td class="acenter" width="15.72%"><p style="text-align:center">−0.518449</p></td> 
       <td class="acenter" width="20.92%"><p style="text-align:center">−0.381362</p></td> 
       <td class="acenter" width="21.34%"><p style="text-align:center">−0.385862</p></td> 
       <td class="acenter" width="21.43%"><p style="text-align:center">−0.386186</p></td> 
      </tr> 
      <tr> 
       <td class="aleft" width="9.30%"><p style="text-align:left">31</p></td> 
       <td class="aleft" width="11.30%"><p style="text-align:left">H</p></td> 
       <td class="acenter" width="15.72%"><p style="text-align:center">0.136603</p></td> 
       <td class="acenter" width="20.92%"><p style="text-align:center">0.125589</p></td> 
       <td class="acenter" width="21.34%"><p style="text-align:center">0.135981</p></td> 
       <td class="acenter" width="21.43%"><p style="text-align:center">0.141736</p></td> 
      </tr> 
      <tr> 
       <td class="aleft" width="9.30%"><p style="text-align:left">32</p></td> 
       <td class="aleft" width="11.30%"><p style="text-align:left">H</p></td> 
       <td class="acenter" width="15.72%"><p style="text-align:center">0.164802</p></td> 
       <td class="acenter" width="20.92%"><p style="text-align:center">0.136657</p></td> 
       <td class="acenter" width="21.34%"><p style="text-align:center">0.152880</p></td> 
       <td class="acenter" width="21.43%"><p style="text-align:center">0.155291</p></td> 
      </tr> 
      <tr> 
       <td class="aleft" width="9.30%"><p style="text-align:left">33</p></td> 
       <td class="aleft" width="11.30%"><p style="text-align:left">H</p></td> 
       <td class="acenter" width="15.72%"><p style="text-align:center">0.317227</p></td> 
       <td class="acenter" width="20.92%"><p style="text-align:center">0.237620</p></td> 
       <td class="acenter" width="21.34%"><p style="text-align:center">0.240469</p></td> 
       <td class="acenter" width="21.43%"><p style="text-align:center">0.247311</p></td> 
      </tr> 
      <tr> 
       <td class="aleft" width="9.30%"><p style="text-align:left">34</p></td> 
       <td class="aleft" width="11.30%"><p style="text-align:left">H</p></td> 
       <td class="acenter" width="15.72%"><p style="text-align:center">0.326036</p></td> 
       <td class="acenter" width="20.92%"><p style="text-align:center">0.252603</p></td> 
       <td class="acenter" width="21.34%"><p style="text-align:center">0.266726</p></td> 
       <td class="acenter" width="21.43%"><p style="text-align:center">0.275149</p></td> 
      </tr> 
     </table>
    </table-wrap>
    <p>III. Frontier Molecular Orbitals</p>
    <p>Frontier orbitals (HOMO and LUMO) are the main participants in electronic transitions, and their energy gap depicts the reactivity <xref ref-type="bibr" rid="scirp.145431-42">
      [42]
     </xref>. Analysis of the frontier molecular orbitals by computational methods is an elegant way to explain the reactivity and electronic transitions within molecules <xref ref-type="bibr" rid="scirp.145431-43">
      [43]
     </xref>. To evaluate the energetic behavior of the title compounds, we carried out the calculations for six isomers of mesoxaldehyde-1,2-bis phenylhydrazone, The frontier molecular orbitals (HOMOs/LUMOs) along with corresponding energies of the tautomers (1a-1f) were explored at the HF/6-311G(d,p) and DFT (B3LYP, PW91and WB97XD/6-311G(d,p) levels of theory are presented in <xref ref-type="table" rid="table1">
      Table 1
     </xref>. The plots of frontier molecular orbitals for mexoxadehyde. Energy gaps for the highest occupied and the lowest unoccupied molecular orbitals were calculated using the equation: Egap = E<sub>LUMO</sub> − E<sub>HOMO</sub>. Increased LUMO energy level and decreased HOMO energy level result in a higher HOMO-LUMO gap. Higher HOMO-LUMO gap corresponds to higher kinetic stability, thus, lower chemical reactivity <xref ref-type="bibr" rid="scirp.145431-44">
      [44]
     </xref>-<xref ref-type="bibr" rid="scirp.145431-46">
      [46]
     </xref>. That is, a small interval between HOMO-LUMO implies low kinetic stability and high chemical reactivity, as it is energetically favorable to add electrons to a LUMO and to extract electrons from a HOMO. Among many others, the energy difference between HOMO and LUMO has been used to predict the activity and intramolecular charge transfer in organic molecules with conjugated П bonds <xref ref-type="bibr" rid="scirp.145431-47">
      [47]
     </xref> <xref ref-type="bibr" rid="scirp.145431-48">
      [48]
     </xref>. Chemical bonds are a source of energy and the movement of molecules in the space is kinetic energy. The vibrations and rotations of molecules are another source of chemical energy along with the chemical reaction, which is a rearrangement of atoms. The energy gap between HOMO and LUMO represents the stability of structures and helps to characterize some significant issues including the kinetic stability as well as chemical reactivity of the molecule . A molecule with a small frontier orbital gap is more polarizable and is generally associated with a high chemical reactivity as well as low kinetic stability <xref ref-type="bibr" rid="scirp.145431-49">
      [49]
     </xref>. The conjugated molecules are characterized by a small highest occupied molecular orbital-lowest unoccupied molecular orbital (HOMO-LUMO) separation. From <xref ref-type="table" rid="table1">
      Table 1
     </xref>, it has been found that gap (HOMO-LUMO) of the tautomer (1f) is greater than the gap (HOMO-LUMO) relative to all the other tautomers with all the method used; therefore, it is the most stable one. The frontier orbitals (HOMO and LUMO) of the most reactive tautomer (1e) and the most stable one (1f) are shown in <xref ref-type="fig" rid="fig9">
      Figure 9
     </xref>and <xref ref-type="fig" rid="fig10">
      Figure 10
     </xref>, respectively.</p>
    <fig id="fig9" position="float">
     <label>Figure 9</label>
     <caption>
      <title>
       <xref ref-type="bibr" rid="scirp.145431-"></xref>Figure 9. Calculated HOMO-LUMO plot of tautomer (1e) with B3LYP/6-311G(d,p) [A], DFT/B3PW91/6-311G(d,p) [B] and DFT/WB97XD/6-311G(d,p) respectively.</title>
     </caption>
     <graphic mimetype="image" position="float" xlink:type="simple" xlink:href="https://html.scirp.org/file/1710193-rId27.jpeg?20250908120438" />
    </fig>
    <fig id="fig10" position="float">
     <label>Figure 10</label>
     <caption>
      <title>
       <xref ref-type="bibr" rid="scirp.145431-"></xref>Figure 10. Calculated HOMO-LUMO plot of tautomer (1f) with B3LYP/6-311G(d,p) [A], DFT/B3PW91/6-311G(d,p) [B] and DFT/WB97XD/6-311G(d,p) respectively.</title>
     </caption>
     <graphic mimetype="image" position="float" xlink:type="simple" xlink:href="https://html.scirp.org/file/1710193-rId28.jpeg?20250908120438" />
    </fig>
    <p>
     <xref ref-type="bibr" rid="scirp.145431-"></xref>Density functional theory has been successful in providing insights into chemical reactivity and selectivity in terms of global parameters, like electronegativity, hardness, and softness <xref ref-type="bibr" rid="scirp.145431-50">
      [50]
     </xref>. The concept of hardness/softness is related to the reactivity of the molecules, and it is a property that measures the extent of chemical reactivity to which the addition of a charge stabilizes the system. Molecules with a large HOMO-LUMO energy gap are called “hard” and those with a small HOMO-LUMO energy gap are called “soft”. The hardness vs softness of the tautomers of tittle compound calculated at HF and DFT with the three different methods applied in this study are listed in <xref ref-type="table" rid="table1">
      Table 1
     </xref>. DFT showed accurate results with B3LYP/6-311G(d,p), B3PW91/6-311G(d,p) and WB97XD/6-311G(d,p), the tautomer (1f) more stable than (1b) are the most stable where their hardness values calculated at DFT/B3LYP/6-311G are 1.8353 and 1.8326 respectively which are high values, these results are consistent with the LUMO-HOMO band gaps of the tautomers (1f) &amp; (1b) are 3.6706 and 3.6651 respectively. On the other hand, the reactive tautomer is (1e) which showed the high value of the softness 1.2669 which consistent with its LUMO-HOMO band gap 1.7682, which confirm its reactivity. Furthermore, the electrophilicity index (ω) is a measure of the energy stabilization that occurs when the system acquires an additional charge from the environment <xref ref-type="bibr" rid="scirp.145431-51">
      [51]
     </xref>-<xref ref-type="bibr" rid="scirp.145431-54">
      [54]
     </xref>, increases the electronegativity of tautomer (1e), contributing to lower hardness and higher electrophilicity index 10.661. Also, the chemical potential provides a global reactivity index and is related to charge transfer from a system of higher chemical potential to one of lower chemical potential. Electronegativity is the power to attract electrons, and it is related directly to all above properties mentioned in <xref ref-type="table" rid="table1">
      Table 1
     </xref>. Furthermore, there are many attempts to define a nucleophilicity index, simple index was chosen for the nucleophilicity (N) which explains the maximum number of electrons that an electrophile can acquire, based on the HOMO energy, within DFT calculations, explaining the reactivity of the organic material towards electrophiles <xref ref-type="bibr" rid="scirp.145431-55">
      [55]
     </xref>-<xref ref-type="bibr" rid="scirp.145431-57">
      [57]
     </xref>. The simple nucleophilicity index (N) is defined as N = E<sub>HOMO</sub> (ev) + 9.12 (ev), where −9.12 is the energy of the HOMO of tetracyano ethylene (TCE), this nucleophilicity scale is referred to TCE and taken as a reference because TCE exhibits the lowest HOMO energy (=−9.12 eV). From the results depicted in <xref ref-type="table" rid="table1">
      Table 1
     </xref> we can conclude that, all the tautomers of MBPH calculated at HF/6-311G(d,p), DFT/B3LYP/6-311G(d,p), DFT/B3PW91/6-311G(d,p), and DFT/WB97XD/6-311G(d,p), with high electrophilicity index (ω) and small value of nucleophilicity index is considered to be more likely attacked by a nucleophile, which is in agreement with the suggested mechanisms for the synthesized of heterocyclic compounds from the target compound in this article. Also, the high value of the chemical potential confirms our conclusion.</p>
    <p>IV. MEP Surface Mapping</p>
    <p>Molecular electrostatic potential (MESP) diagram has been also used to predict the reactive sites for electrophilic and nucleophilic attack, as well as hydrogen bonding interaction <xref ref-type="bibr" rid="scirp.145431-58">
      [58]
     </xref>-<xref ref-type="bibr" rid="scirp.145431-60">
      [60]
     </xref>, We have reported and plotted the MEP surface mapping, alpha density, and total density of the MEP of more reactive tautomer (1e) calculated using Gaussian 09 program with HF/6-311G(d,p), DFT/B3LYP/6-311G(d,p), DFT/B3PW91/6-311G(d,p), and DFT/WB97XD/6-311G(d,p), The MEP surface provides us with net electrostatic effect caused due to total charge distribution. It also provides a useful tool to know the relative polarity of the molecule <xref ref-type="bibr" rid="scirp.145431-61">
      [61]
     </xref>. The surface is color-coded as per the electrostatic potential (red is more electron-rich and blue is more electron-poor area). The total electron density plot of the tautomer (1e) shows a uniform distribution. The order in the increase of the electrostatic potential as per color code will follow as red &lt; orange &lt; yellow &lt; green <xref ref-type="bibr" rid="scirp.145431-62">
      [62]
     </xref>. At least we can conclude that the investigated molecule has several sites for electrophilic as well as nucleophilic attacks, as shown in MEP surface mapping (<xref ref-type="fig" rid="fig11">
      Figure 11
     </xref>).</p>
    <fig id="fig11" position="float">
     <label>Figure 11</label>
     <caption>
      <title>
       <xref ref-type="bibr" rid="scirp.145431-"></xref>Figure 11. MEP, alpha density, and total density of the tautomer (1e) using Gaussian 09 package.</title>
     </caption>
     <graphic mimetype="image" position="float" xlink:type="simple" xlink:href="https://html.scirp.org/file/1710193-rId29.jpeg?20250908120438" />
    </fig>
    <p>However, it can be seen from the ESP mapping of tautomer 1f (<xref ref-type="fig" rid="fig12">
      Figure 12
     </xref>), that the negative ESP is localized more over the molecules and is reflected as a yellowish blob. Different values of the electrostatic potential on the surface are indicated by different colors. Potential increases are listed as red &lt; orange &lt; yellow &lt; green &lt; blue. On the molecular electrostatic potential, negative regions (red and yellow) are associated with electrophilic reactivity, and positive areas (blue) are associated with nucleophilic reactivity. It appears that the negative charge covers the carbonyl group and the positive region is above the remaining groups. The highest electronegativity is located in the carbonyl group.</p>
    <fig id="fig12" position="float">
     <label>Figure 12</label>
     <caption>
      <title>
       <xref ref-type="bibr" rid="scirp.145431-"></xref>Figure 12. MEP, alpha density, and total density of the tautomer (1f) using Gaussian 09 package.</title>
     </caption>
     <graphic mimetype="image" position="float" xlink:type="simple" xlink:href="https://html.scirp.org/file/1710193-rId30.jpeg?20250908120438" />
    </fig>
    <p>The lines drawn in the contour map clearly show the low electron density in the title molecule (<xref ref-type="fig" rid="fig13">
      Figure 13
     </xref>). The red color dominating area is found to be highly negative where the nitrogen and the oxygen atoms are located, and other colored parts signify the positive region of the molecule. In the case the three carbon atoms of the tautomers (1a), (1e), and (1f) are highly positive, more positive than any other carbon atom in the molecule.</p>
    <fig id="fig13" position="float">
     <label>Figure 13</label>
     <caption>
      <title>
       <xref ref-type="bibr" rid="scirp.145431-"></xref>Figure 13. Contour maps of (1a), (1e), and (1f) tautomers using the Gaussian 09 package.</title>
     </caption>
     <graphic mimetype="image" position="float" xlink:type="simple" xlink:href="https://html.scirp.org/file/1710193-rId31.jpeg?20250908120438" />
    </fig>
    <p>V. Thermochemistry analysis:</p>
    <p>The computed vibration frequency of the six tautomers of mesoxaldehyde, using HF, B3LYP/6-311G(d,p), B3PW91/6-311G(d,p), and WB97XD/6-311G(d,p), shows some thermodynamic parameter values reflecting molecular polarities, reactivity, and the stability of the molecule. To confirm this, the thermodynamic parameters of tautomer (1e &amp; 1f) are tabulated in <xref ref-type="table" rid="table4">
      Table 4
     </xref>, which shows that. Standard enthalpies of formation are evaluated using calculated energies, zero-point vibration energy (ZPVE), plus thermal contributions (to 298 K). The ZPVE corrects the calculated total energy. We found the energy values were slightly dependent on the different methods used for the optimization, and some differences in the relative thermodynamic stability and reactivity of the tautomers were observed. The restricted Hartree-Fock (RHF) method showed a good correlation with the results obtained from the frontier molecular orbitals and the energy gaps.</p>
    <table-wrap id="table4">
     <label>
      <xref ref-type="table" rid="table4">
       Table 4
      </xref></label>
     <caption>
      <title>
       <xref ref-type="bibr" rid="scirp.145431-"></xref>Table 4. Thermodynamic parameters of the tautomer (1e &amp; 1f) calculated by HF/6-311G(d,p), DFT/B3LYP/6-311G(d,p), DFT/B3PW91/6-311G(d,p), and DFT/WB97XD/6-311G(d,p).</title>
     </caption>
     <table class="MsoTableGrid custom-table" border="0" cellspacing="0" cellpadding="0"> 
      <tr> 
       <td class="aleft" width="40.09%"><p style="text-align:left">Parameter</p></td> 
       <td class="acenter" width="59.91%" colspan="4"><p style="text-align:center">Methods of optimization</p></td> 
      </tr> 
      <tr> 
       <td class="custom-bottom-td aleft" width="40.09%"><p style="text-align:left"></p></td> 
       <td class="custom-bottom-td custom-top-td acenter" width="15.24%"><p style="text-align:center">DFT/B3LYP</p></td> 
       <td class="custom-bottom-td custom-top-td acenter" width="16.22%"><p style="text-align:center">DFT/B3PW91</p></td> 
       <td class="custom-bottom-td custom-top-td acenter" width="16.18%"><p style="text-align:center">DFT/WB97XD</p></td> 
       <td class="custom-bottom-td custom-top-td acenter" width="12.27%"><p style="text-align:center">HF</p></td> 
      </tr> 
      <tr> 
       <td class="custom-top-td aleft" width="100.00%" colspan="5"><p style="text-align:left">Most stable tautomer (1e)</p></td> 
      </tr> 
      <tr> 
       <td class="aleft" width="40.09%"><p style="text-align:left">Zero-point vibrational energy (Kcal/Mol)</p></td> 
       <td class="acenter" width="15.24%"><p style="text-align:center">167.84565</p></td> 
       <td class="acenter" width="16.22%"><p style="text-align:center">166.38624</p></td> 
       <td class="acenter" width="16.18%"><p style="text-align:center">168.52607</p></td> 
       <td class="acenter" width="12.27%"><p style="text-align:center">179.37199</p></td> 
      </tr> 
      <tr> 
       <td class="aleft" width="40.09%"><p style="text-align:left">Electronic and zero-point Energies (Hartree)</p></td> 
       <td class="acenter" width="15.24%"><p style="text-align:center">−874.137748</p></td> 
       <td class="acenter" width="16.22%"><p style="text-align:center">−873.720749</p></td> 
       <td class="acenter" width="16.18%"><p style="text-align:center">−873.744236</p></td> 
       <td class="acenter" width="12.27%"><p style="text-align:center">−868.630011</p></td> 
      </tr> 
      <tr> 
       <td class="aleft" width="40.09%"><p style="text-align:left">Electronic and thermal Energies (Hartree)</p></td> 
       <td class="acenter" width="15.24%"><p style="text-align:center">−874.120652</p></td> 
       <td class="acenter" width="16.22%"><p style="text-align:center">−873.703637</p></td> 
       <td class="acenter" width="16.18%"><p style="text-align:center">−873.727297</p></td> 
       <td class="acenter" width="12.27%"><p style="text-align:center">−868.613747</p></td> 
      </tr> 
      <tr> 
       <td class="aleft" width="40.09%"><p style="text-align:left">Electronic and thermal Enthalpies (Hartree)</p></td> 
       <td class="acenter" width="15.24%"><p style="text-align:center">−874.119708</p></td> 
       <td class="acenter" width="16.22%"><p style="text-align:center">−873.702693</p></td> 
       <td class="acenter" width="16.18%"><p style="text-align:center">−873.726353</p></td> 
       <td class="acenter" width="12.27%"><p style="text-align:center">−868.612803</p></td> 
      </tr> 
      <tr> 
       <td class="custom-bottom-td aleft" width="40.09%"><p style="text-align:left">Electronic and thermal Free Energies (Hartree)</p></td> 
       <td class="custom-bottom-td acenter" width="15.24%"><p style="text-align:center">−874.185311</p></td> 
       <td class="custom-bottom-td acenter" width="16.22%"><p style="text-align:center">−873.769202</p></td> 
       <td class="custom-bottom-td acenter" width="16.18%"><p style="text-align:center">−873.792857</p></td> 
       <td class="acenter" width="12.27%"><p style="text-align:center">−868.678186</p></td> 
      </tr> 
      <tr> 
       <td class="custom-top-td aleft" width="40.09%"><p style="text-align:left"></p></td> 
       <td class="custom-bottom-td custom-top-td acenter" width="59.91%" colspan="4"><p style="text-align:center">Methods of optimization</p></td> 
      </tr> 
      <tr> 
       <td class="custom-bottom-td aleft" width="40.09%"><p style="text-align:left"></p></td> 
       <td class="custom-bottom-td custom-top-td acenter" width="15.24%"><p style="text-align:center">DFT/B3LYP</p></td> 
       <td class="custom-bottom-td custom-top-td acenter" width="16.22%"><p style="text-align:center">DFT/B3PW91</p></td> 
       <td class="custom-bottom-td custom-top-td acenter" width="16.18%"><p style="text-align:center">DFT/WB97XD</p></td> 
       <td class="custom-bottom-td custom-top-td acenter" width="12.27%"><p style="text-align:center">HF</p></td> 
      </tr> 
      <tr> 
       <td class="custom-top-td aleft" width="100.00%" colspan="5"><p style="text-align:left">Most active tautomer (1f)</p></td> 
      </tr> 
      <tr> 
       <td class="aleft" width="40.09%"><p style="text-align:left">Zero-point vibrational energy (Kcal/Mol)</p></td> 
       <td class="acenter" width="15.24%"><p style="text-align:center">166.71755</p></td> 
       <td class="acenter" width="16.22%"><p style="text-align:center">167.40032</p></td> 
       <td class="acenter" width="16.18%"><p style="text-align:center">169.28107</p></td> 
       <td class="acenter" width="12.27%"><p style="text-align:center">179.30859</p></td> 
      </tr> 
      <tr> 
       <td class="aleft" width="40.09%"><p style="text-align:left">Electronic and zero-point Energies (Hartree)</p></td> 
       <td class="acenter" width="15.24%"><p style="text-align:center">−874.081345</p></td> 
       <td class="acenter" width="16.22%"><p style="text-align:center">−873.745664</p></td> 
       <td class="acenter" width="16.18%"><p style="text-align:center">−873.784027</p></td> 
       <td class="acenter" width="12.27%"><p style="text-align:center">−868.625242</p></td> 
      </tr> 
      <tr> 
       <td class="aleft" width="40.09%"><p style="text-align:left">Electronic and thermal Energies (Hartree)</p></td> 
       <td class="acenter" width="15.24%"><p style="text-align:center">−874.063958</p></td> 
       <td class="acenter" width="16.22%"><p style="text-align:center">−873.728400</p></td> 
       <td class="acenter" width="16.18%"><p style="text-align:center">−873.767026</p></td> 
       <td class="acenter" width="12.27%"><p style="text-align:center">−868.608962</p></td> 
      </tr> 
      <tr> 
       <td class="aleft" width="40.09%"><p style="text-align:left">Electronic and thermal Enthalpies (Hartree)</p></td> 
       <td class="acenter" width="15.24%"><p style="text-align:center">−874.063014</p></td> 
       <td class="acenter" width="16.22%"><p style="text-align:center">−873.727455</p></td> 
       <td class="acenter" width="16.18%"><p style="text-align:center">−873.766082</p></td> 
       <td class="acenter" width="12.27%"><p style="text-align:center">−868.608018</p></td> 
      </tr> 
      <tr> 
       <td class="aleft" width="40.09%"><p style="text-align:left">Electronic and thermal Free Energies (Hartree)</p></td> 
       <td class="acenter" width="15.24%"><p style="text-align:center">−874.130136</p></td> 
       <td class="acenter" width="16.22%"><p style="text-align:center">−873.794232</p></td> 
       <td class="acenter" width="16.18%"><p style="text-align:center">−873.831244</p></td> 
       <td class="acenter" width="12.27%"><p style="text-align:center">−868.672750</p></td> 
      </tr> 
     </table>
    </table-wrap>
   </sec>
   <sec id="s1_2">
    <title>3.2. Chemistry</title>
    <p>The nucleophilic and electrophilic activities of mesoxaldehyde, 1,2-bis phenyl hydrazone predicted from the computational studies, attract our attention to the use of it as a starting compound to synthesize different heterocyclic compounds (<xref ref-type="bibr" rid="scirp.145431-#s1">
      Scheme 1
     </xref>). The structure of the synthesized compounds was identified using different spectral tools. The intramolecular cyclization of hydrazones using cupric chloride (CuCl₂) is a fascinating area of research in organic chemistry. This reaction typically involves forming a cyclic structure by activating the hydrazone with cupric chloride, facilitating the cyclization process. In this article, we design to use MBPH as strating materials for the synthesis of substituted heterocyclic derivatives via the reaction with different hydrazides, followed by intramolecular cyclization. Firstly, mesoxaldehyde was prepared as shown in the literature <xref ref-type="bibr" rid="scirp.145431-17">
      [17]
     </xref>, and the structure was confirmed using different spectral tools (<xref ref-type="fig" rid="fig14">
      Figure 14
     </xref>).</p>
    <fig id="fig14" position="float">
     <label>Figure 14</label>
     <caption>
      <title>
       <xref ref-type="bibr" rid="scirp.145431-"></xref>Figure 14. The <sup>1</sup>H-NMR spectrum of MBPH before deuteration (upper curve) and after deuteration (lower curve).</title>
     </caption>
     <graphic mimetype="image" position="float" xlink:type="simple" xlink:href="https://html.scirp.org/file/1710193-rId32.jpeg?20250908120441" />
    </fig>
    <p>
     <xref ref-type="bibr" rid="scirp.145431-"></xref>The reaction of mesoxaldehyde with thiosemicarbazide or semicarbazide in the presence of acetic acid gives the corresponding thiosemicarbazone or semicarbazone derivatives (<xref ref-type="bibr" rid="scirp.145431-#s1">
      Scheme 1
     </xref>). The structure of the thiocarbazone derivative (2) was identified using different spectral tools, the infra-red spectrum (cm<sup>−</sup><sup>1</sup>) showed the presence of the amino group (NH<sub>2</sub>) and the imine (NH) at γ = 3583, 3172 respectively, 1660 for (CN) and 1267 for (CS), and no band between 1800 and 1690 cm<sup>−</sup><sup>1</sup> attributed the absence of carbonyl group. The proton nuclear magnetic resonance spectra (<sup>1</sup>H-NMR) showed the presence of exchangeable NH at δ = 9.33 ppm, the aromatic protons of the phenyl groups appear as a multiplet at δ = 7.19 - 7.89 ppm, the amino group of the carbazone moiety appears as an exchangeable broad band at δ = 4.55 ppm, also the structure of (2) was confirmed using <sup>13</sup>C-NMR and elemental analysis (see experimental). Also, the structure of the semicarbazone derivative (3) showed the same spectral data except for the appearance of a carbonyl band in the infrared spectrum instead of the CS band. Continuously, treatment of the thiocarbazone derivative (2) or the carbazone (3) with an ethanolic solution of cupric chloride gave the corresponding triazole derivatives (4) or (5) through intramolecular cyclization. The structures of each (4) and (5) were identified using different spectral tools and alternative synthesis. For example, the structure of (5) was confirmed using the infrared spectrum which showed two bands at γ = 3421, 3290 cm<sup>−</sup><sup>1</sup> corresponding for NH<sub>2</sub> &amp; NH, 1690 cm<sup>−</sup><sup>1</sup> for (CO), and 1630 cm<sup>−</sup><sup>1</sup> for (CN). The <sup>1</sup>H NMR spectra showed a singlet δ = 11.92 ppm exchangeable N-H, δ = 8.32 ppm as a singlet for C-5 triazole proton the amino group appears as a singlet at δ = 7.68 ppm and finally a multiplet at δ = 6.81 - 7.35 for the hydrazide proton and the phenyl ring protons. Also, we can confirm that the cyclization of (2) or (3) to give the corresponding triazole derivatives (4) or (5), and acetylation of the triazoles (4) with boiling acetic anhydride gave the corresponding products (6). The structure of 4-((2-acetyl-2-phenylhydrazono) methyl)-2H-1,2,3-triazole-2-carbothioamide (6) was confirmed using different spectral tools, the infrared spectrum (cm<sup>−</sup><sup>1</sup>) showed characteristic bands at 3583 (NH<sub>2</sub>), 1710 (COCH<sub>3</sub>), 1660 (CN), 1 270 (CS). <sup>1</sup>H NMR (CDCl<sub>3</sub>): δ (ppm) showed an exchangeable singlet at 8.56 for NH<sub>2</sub>, a singlet at 8.32 for C-5 triazole proton, a multiplet at 7.13 - 7.94 for aromatic and hydrazide protons and finally a singlet at 2.04 for the acetyl group protons. On the other hand, acetylation of the thiocarbazone (2) and the carbazone (3) with boiling acetic anhydride gave the corresponding thiadiazol derivative (7) and the oxadiazole (8) respectively. The thiadiazol (7) was separated as yellow needles in good yield (75%). m.p. 257˚C - 258˚C; IR (cm<sup>−</sup><sup>1</sup>, KBr): ν = 3290 (NH), 1710 (COCH<sub>3</sub>), 1660 (CN). <sup>1</sup>H NMR (CDCl<sub>3</sub>): δ (ppm) = 9.01 (s, 1H, NHCOCH3, exchangeable), 8.20 (s, 2H, NH-Ph, exchangeable) 6.81 - 7.35 (m, 11H. Ar-H, hydrazide proton), 4.6 (s.1H, C-5 thiadiazol ring), 2.22 (s, 3H, acetyl group), 2.08 (s, 3H, NHCOCH3). <sup>13</sup>C NMR: δ (ppm) = 169, 167 (2CO), 139 (hydrazide carbon). The oxadiazole (8) has revealed the same spectral data as (7), its infra-red spectra. IR (cm<sup>−1</sup>, KBr) shows ν = 3290 (NH), 1710 (COCH<sub>3</sub>), 1610 (CN). <sup>1</sup>H NMR (CDCl<sub>3</sub>): δ (ppm) = 11.01 (s, 1H, NHCOCH3, exchangeable), 9.20 (s, 2H, NH-Ph, exchangeable) 6.81 - 7.35 (m, 11H. Ar-H &amp; hydrazide protons), 4.6 (s.1H, C-5 oxadiazol ring), 2.22 (s, 3H, N-acetyl group), 2.08 (s, 3H, NHCOCH3). <sup>13</sup>C NMR: δ (ppm) = 169, 167 (2CO), 139 (hydrazide carbon), 138, 128, 128,128, 124, 143 (C Ar-N), 21.6 (CH<sub>3</sub>). Treatment of (7) or (8) with an ethanolic solution of cupric chloride gave the bicyclic compounds (9) or (10). <xref ref-type="bibr" rid="scirp.145431-#s1">
      Scheme 1
     </xref>, the structure of these products was confirmed by alternative synthesis using a different route as follows: Mesoxaldehyde, 1,2-bis phenyl hydrazone was treated with an ethanolic solution of cupric chloride to give the corresponding triazole (11), which reacted with an acidic solution of thiosemicarbazide or semicarbazide to give the corresponding triazole (12) or (13) which differ completely than the triazole (4) or (5), the isolated triazoles were confirmed using different spectral tools and elemental analysis.(see experimental section). Acetylation of the triazole (13) with boiling acetic anhydride gave the corresponding bicyclo compound which is identical with that obtained from the other route. Finally, it has been found that (10) and (14), which were obtained from two different routes, have the same structural formula and were confirmed by using different spectral tools and alternative synthesis. This result confirms that in the first root triazole derivatives (4) or (5) obtained via intramolecular elimination reaction between C-1&amp;C-2 not between C-2&amp;C-3, and this was confirmed by treatment of MBPH, firstly with an ethanolic solution of cupric chloride to give the corresponding triazole aldehyde (11) which reacted with thiosemicarbazide or semicarbazide gave the triazole derivative (12) &amp; (13) which differ completely than the other triazoles (4) or (5) in their color and melting points (see experimental section), also from the computational study section, we conclude that C1, C2 &amp; C3 of MBPH which calculated using the HF&amp; DFT methods are positively charged, but C3 is the more positively one, so the cyclization preferred to occur between C-1&amp;C-2 not between C-2&amp;C3.</p>
    <fig id="fig15" position="float">
     <label>Figure 15</label>
     <caption>
      <title>
       <xref ref-type="bibr" rid="scirp.145431-"></xref>Scheme 1. Synthesis of different heterocyclic compounds from mesoxaldehyde.[-rId35-][-rId37-]4. Experimental<xref ref-type="bibr" rid="scirp.145431-"></xref>4.1. Chemistry4.1.1. General MethodsMelting points were carried out on a Tottoli (Büchi) apparatus and were not corrected. IR (KBr) was recorded on a PerkinElmer 580 VB spectrophotometer and on a Camica 250 Hz spectrometer. Microanalyses were performed in microanalytical units, Department of Chemistry, Faculty of Science, Cairo University, Cairo, Egypt. Mass spectra were carried out on Direct Inlet part to mass analyzer on a Thermo Scientific GCMS model ISQ (70 eV El mode), performed at the Regional Center for Mycology and Biotechnology Al-Azhar University, Cairo, Egypt. The nuclear magnetic resonance spectra (1H-NMR &amp; 13C-NMR) for the purified sample in (CDCl3) or (DMSO d6) were obtained using a Joel EAC 500 MHz FT-NMR spectrophotometer (Faculty of Science, Alexandria University, Egypt) and on a Varian Gemini VX-300 MHz spectrophotometer using TMS as an internal standard, (Faculty of Science, Cairo University, Egypt) at the Regional Center for Mycology and Biotechnology (RCMB), Al-Azhar University, Nasr city, Cairo, Egypt. The reaction progress was monitored by thin-layer chromatography (TLC) on silica gel 60 f 254 plates.4.1.2. Synthesis of the Studied CompoundsMesoxaldehyde-2,3-bis phenyl hydrazone (1). Prepared as shown in the literature <xref ref-type="bibr" rid="scirp.145431-17">
        [17]
       </xref>.<xref ref-type="bibr" rid="scirp.145431-"></xref>2,3-bis (2-phenylhydrazono) propylidene)-1-hydrazine carbothioamide (2)<xref ref-type="bibr" rid="scirp.145431-"></xref>A solution of compound (1) (1 g) in 95% ethanol (30 ml) was treated with thiosemicarbazide (1 g), and a few drops of acetic acid. The reaction mixture was heated under reflux for 3 hours, then concentrated and poured onto crushed ice. The separated crude solid was filtered off, washed successively with water, dried, and recrystallized from ethanol to give (2) orange-yellow needles. The yield of (2) was 77%, m.p. 183˚C - 184˚C; IR (cm<sup>−</sup><sup>1</sup>, KBr): ν = 3583, 3172 (NH<sub>2</sub>, NH), 1660 (CN); 1267 (CS). <sup>1</sup>H NMR (CDCl<sub>3</sub>): δ (ppm) = 9.33 (s, 3H, NH, exchangeable), 7.19 - 7.89 (m, 12H, Ar-H &amp; 2 hydrazide protons ), 4.55 (br s, 2H, NH<sub>2</sub>, exchangeable); <sup>13</sup>C NMR (CDCl<sub>3</sub>): δ (ppm) = 181 (C-1, CS), 128 (C-2), 140 (C Ar-N), 143 (C Ar-N), the other signal carbons of the two phenyl rings appear at 113.9, 122, 129.5 Anal. Calcd for C<sub>16</sub>H<sub>17</sub>N<sub>7</sub>S (339): C, 56.64; H, 5.01; N, 28.91%. Found: C,56.88; H, 5.40; N, 28.28%.<xref ref-type="bibr" rid="scirp.145431-"></xref>2,3-bis (2-phenylhydrazono) propylidene)-1-hydrazine carboxamide (3)</title>
     </caption>
     <graphic mimetype="image" position="float" xlink:type="simple" xlink:href="https://html.scirp.org/file/1710193-rId33.jpeg?20250908120441" />
    </fig>
    <p>
     <xref ref-type="bibr" rid="scirp.145431-"></xref>A solution of compound (1) (1 g) in 95% ethanol (30 ml) was treated with semicarbazide (1 g), and a few drops of acetic acid, the reaction mixture was heated under reflux for 3 hours, then, concentrated and poured onto crushed ice. The separated crude solid was filtered off, washed successively with water, dried, and recrystallized from ethanol to give (3) yellow needles. The yield of (3) was 70%, m.p. 150˚C - 151˚C; IR (cm<sup>−1</sup>, KBr): ν = 3470, 3220 (NH2, NH), 1690 (CO); 1660 (CN). <sup>1</sup>H NMR (CDCl<sub>3</sub>): δ (ppm) = 9.33 (s, 3H, NH, exchangeable), 7.19 - 7.89 (m, 12H, Ar-H &amp; 2 hydrazide protons), 4.55 (br s, 2H, NH<sub>2, </sub>exchangeable). <sup>13</sup>C NMR(CDCl<sub>3</sub>): 169 (CO), 128 (C-2), 140 (C Ar-N), 143 (C Ar-N), the other signal carbons of the two phenyl rings appear at 113.9, 122, 129.5 Anal. Calcd for C<sub>16</sub>H<sub>17</sub>N<sub>7</sub>O (323): C, 59.44; H, 5.26; N, 30.34%. Found: C, 59.90; H, 5.40; N, 30.28%.</p>
    <p>
     <xref ref-type="bibr" rid="scirp.145431-"></xref>4-((2-phenylhydrazono) methyl)-2H-1,2,3-triazole-2-carbothioamide (4)</p>
    <p>
     <xref ref-type="bibr" rid="scirp.145431-"></xref>Bis phenyl thiocarbazone (2) (1.1 mmol) was dissolved in (10 ml) of 1:1 absolute ethanol/acetone mixture in a 100 ml beaker and allowed to stir for 10 minutes. Then, an ethanolic solution of Cu (II)chloride (1.1 mmol) was added dropwise to the stirring mixture. The mixture was stirred for 6 hrs at room temperature after which the precipitate formed was filtered and washed using 40% ethanol and dried in a desiccator over calcium chloride. The product was recrystallized from ethanol as yellow needles. The yield of (4) was 60%, m.p. 150˚C - 151˚C; IR (cm<sup>−1</sup>, KBr): ν = 3421 (NH<sub>2</sub>), 3290 (NH), 1270 (CS), 1660 (CN). <sup>1</sup>H NMR (CDCl<sub>3</sub>): δ (ppm) = 11.92 (s, 1H, N-H, exchangeable), 8.56 (s, 2H, NH<sub>2</sub>, exchangeable), 8.32 (s, 1H, C-5 triazole proton), 6.81 - 7.35 (m, 6H, Ar-H &amp; hydrazide protons). C<sup>13</sup>NMR (CDCl<sub>3</sub>): δ (ppm) = 174 (CS), 144 (C5-triazole), 143 (Ph-C-N), 130 (C4 triazole), 129, 122, 113 (aromatic ring carbons) 121 (C=N hydrazone moiety). Anal. Calcd for C<sub>10</sub>H<sub>10</sub>N<sub>6</sub>S (246): C, 48.78; H, 4.07; N, 34.15%. Found: C, 48.90; H, 4.40; N, 34.28%.</p>
    <p>4-((2-phenylhydrazono) methyl)-2H-1,2,3-triazole-2-carboxamide (5)</p>
    <p>
     <xref ref-type="bibr" rid="scirp.145431-"></xref>Bis phenyl carbazone (3) (1.1 mmol) was dissolved in (10 ml) of 1:1 absolute ethanol/acetone mixture in a 100 ml beaker and allowed to stir for 10 minutes. Then, an ethanolic solution of Cu (II) chloride (1.1 mmol) was added dropwise to the stirring mixture. The mixture was stirred for 6 hrs at room temperature after which the precipitate formed was filtered and washed using 40% ethanol and dried in a desiccator over calcium chloride. The product was recrystallized from ethanol as colorless needles. The yield of (5) was 65%, m.p. 120˚C - 121˚C; IR (cm<sup>−1</sup>, KBr): ν = 3421 (NH<sub>2</sub>), 3290 (NH), 1690 (CO), 1630 (CN). <sup>1</sup>H NMR (CDCl<sub>3</sub>): δ (ppm) = 11.92 (s, 1H, N-H, exchangeable), 8.32 (s, 1H, C-5 triazole proton), 7.68 (s, 2H, NH<sub>2</sub>, exchangeable), 6.81 - 7.35 (m, 6H, Ar-H, hydrazide proton). C<sup>13</sup>NMR (CDCl<sub>3</sub>): δ (ppm) 164(CO), 144 (C5-triazole), 143 (Ph-C-N), 130 (C4 triazole), 129, 122, 113 (aromatic ring carbons) 121 (C=N hydrazone moiety) Anal. Calcd for C<sub>10</sub>H<sub>10</sub>N<sub>6</sub>O (230): C, 52.17; H, 4.38; N, 36.50%. Found: C, 52.90; H, 4.40; N, 36.28%.</p>
    <p>4-((2-acetyl-2-phenylhydrazono) methyl)-2H-1,2,3-triazole-2-carbothioamide (6)</p>
    <p>
     <xref ref-type="bibr" rid="scirp.145431-"></xref>A mixture of (4) (5 mmol), acetic anhydride (10 ml), was heated under reflux for 2 h. The reaction mixture was poured into crushed ice, and the solid that separated was filtered off, washed successively with water, dried, and recrystallized from proper solvent to give (6) good yield (75%). m.p. 123˚C - 125˚C; IR (cm<sup>−1</sup>, KBr): ν = 3583 (NH<sub>2</sub>), 1710 (COCH<sub>3</sub>), 1660 (CN), 1270 (CS). <sup>1</sup>H NMR (CDCl<sub>3</sub>): δ (ppm) = 8.56 (s, 2H, NH<sub>2</sub>, exchangeable), 8.32 (s,1H, C-5 triazole proton), 7.13 - 7.94 (m, 6H. Ar-H, hydrazide proton), (2.04, 3H, acetyl group).<sup> 13</sup>C NMR: δ (ppm) = 177 (CS), 172 (CO), 145.130 (C<sub>4</sub>, C<sub>5</sub> triazole protons), (139, hydrazide carbon), 138, 128, 128, 124, 143 (C Ar-N), 21.6 (CH<sub>3</sub>). Anal. Calcd for C<sub>12</sub>H<sub>12</sub>N<sub>6</sub>OS (288): C, 49.99; H, 4.19; N, 29.15%. Found: C, 49.90; H, 4.40; N, 29.28%.</p>
    <p>N-(4-acetyl-5-(1-(2-phenylhydrazono) ethyl)-4,5-dihydro-1,3,4-thiadiazol-2-yl) acetamide (7)</p>
    <p>
     <xref ref-type="bibr" rid="scirp.145431-"></xref>A mixture of (2) (5 mmol), acetic anhydride (10 ml), was heated under reflux for 3 h. The reaction mixture was poured into crushed ice, and the solid that separated was filtered off, washed successively with water, dried, and recrystallized from proper solvent to give (7) as yellow needles in good yield (75%). m.p. 257˚C - 258˚C; IR (cm<sup>−1</sup>, KBr): ν = 3290 (NH),1710 (COCH<sub>3</sub>), 1660 (CN). <sup>1</sup>H NMR (CDCl<sub>3</sub>): δ (ppm) = 9.01 (s, 1H, NHCOCH3, exchangeable), 8.20 (s, 2H, NH-Ph, exchangeable) 6.81 - 7.35 (m, 11H. Ar-H &amp; hydrazide protons), 4.6 (s.1H, C-5 thiadiazol ring), 2.22 (s, 3H, acetyl group), 2.08 (s, 3H, NHCOCH3). <sup>13</sup>C NMR: δ (ppm) = 169, 167 (2CO), 139 (hydrazide carbon), 138, 128, 128, 128, 124, 143(C Ar-N), 21.6 (CH<sub>3</sub>). Anal. Calcd for C<sub>20</sub>H<sub>21</sub>N<sub>7</sub>O<sub>2</sub>S (423): C, 49.99; H, 4.19; N, 29.15%. Found: C, 49.90; H, 4.40; N, 29.28%.</p>
    <p>N-(4-acetyl-5-(1-((2,3-bis-phenylhydrazono-ethyl))-4,5-dihydro-1,3,4-oxadiazol-2-yl) acetamide (8)</p>
    <p>A mixture of (3) (5 mmol), acetic anhydride (10 ml), was heated under reflux for 2 h. The reaction mixture was poured into crushed ice, and the solid that separated was filtered off, washed successively with water, dried, and recrystallized from proper solvent to give (8) a good yield (75%). m.p. 223˚C - 225˚C. IR (cm<sup>−1</sup>, KBr): ν = 3290 (NH), 1710 (COCH<sub>3</sub>), 1610 (CN). <sup>1</sup>H NMR (CDCl<sub>3</sub>): δ (ppm) = 11.01 (s, 1H, NHCOCH3, exchangeable), 9.20 (s, 2H, NH-Ph, exchangeable) 6.81 - 7.35 (m, 11H. Ar-H, hydrazide proton), 4.6 (s.1H, C-5 oxadiazol ring), 2.22 (s, 3H, N-acetyl group), 2.08 (s, 3H, NHCOCH3). <sup>13</sup>C NMR: δ (ppm) = 169, 167 (2CO), 139 (hydrazide carbon), 138, 128, 128, 128, 128, 128, 124, 143(C Ar-N), 21.6 (CH<sub>3</sub>). Anal. Calcd for C<sub>20</sub>H<sub>21</sub>N<sub>7</sub>O<sub>3</sub> (407): C, 58.97; H, 5.16; N, 24.08%. Found: C, 58.90; H, 5.40; N, 24.28%.</p>
    <p>N-(4-acetyl-5-(2-phenyl-2H-1,2,3-triazol-4-yl)-4,5-dihydro-1,3,4-thiadiazol-2-yl) acetamide (9)</p>
    <p>Compound (7) (1.1 mmol) was dissolved in 10 mL of a 1:1 absolute ethanol/acetone mixture in a 100 mL beaker and stirred for 10 minutes. Then, an ethanolic solution of Cu (II)chloride (1.1 mmol) was added dropwise to the stirring mixture. The mixture was stirred for 6 hrs. at room temperature, after which the precipitate formed was filtered and washed using 40% ethanol and dried in a desiccator over calcium chloride. The product was recrystallized from ethanol as colorless needles. The yield of (9) was 60%, m.p. 157˚C - 158˚C; IR (cm<sup>−1</sup>, KBr): ν = 3440 (NH), 1730 (COCH<sub>3</sub>), 1660 (CN). <sup>1</sup>H NMR (CDCl<sub>3</sub>): δ (ppm) = 11.92 (s, 1H, NHCOCH3, exchangeable), 8.00 (s, 1H, C-5 thiadiazol proton), 7.45 - 8.09 (m, 6H, Ar-H, C-5 triazole ring proton), 2.22 (s, 3H, N-acetyl group), 2.08 (s, 3H, NHCOCH3). C<sup>13</sup> NMR(CDCl3): 169, 167(2 C=O), 138, 128, 119 (Aromatic ring carbons), 145, 52 (C<sub>2</sub>&amp;C<sub>5</sub> thiadiazol ring), 132 (C<sub>4</sub>, C<sub>5</sub> triazole) Anal. Calcd for C<sub>14</sub>H<sub>14</sub>N<sub>6</sub>O<sub>2</sub>S (330): C, 50.90; H, 4.27; N, 25.44%. Found: C, 50.95; H, 4.40; N, 25.28%.</p>
    <p>
     <xref ref-type="bibr" rid="scirp.145431-"></xref>N-(4-acetyl-5-(2-phenyl-2H-1,2,3-triazol-4-yl)-4,5-dihydro-1,3,4-oxadiazol-2-yl) acetamide (10)</p>
    <p>
     <xref ref-type="bibr" rid="scirp.145431-"></xref>Compound (8) (1.1 mmol) was dissolved in (10 ml) of 1:1 absolute ethanol/acetone mixture in a 100 ml beaker and allowed to stir for 10 minutes. Then, an ethanolic solution of Cu (II)chloride (1.1 mmol) was added dropwise to the stirring mixture. The mixture was stirred for 6 hrs at room temperature after which the precipitate formed was filtered and washed using 40% ethanol and dried in a desiccator over calcium chloride. The product was recrystallized from ethanol as colorless needles. The yield of (10) was 70%, m.p. 154˚C - 155˚C; IR (cm<sup>−1</sup>, KBr): ν = 3440 (NH), 1730 (COCH<sub>3</sub>), 1660 (CN). <sup>1</sup>H NMR (CDCl<sub>3</sub>): δ (ppm) = 11.92 (s, 1H, NHCOCH3, exchangeable), 8.00 (s, 1H, C-5 oxadiazole proton), 7.45 - 8.09 (m, 6H, Ar-H, C-5 triazole ring proton) 2.22 (s, 3H, N-acetyl group), 2.08 (s, 3H, NHCOCH3). C<sup>13</sup> NMR(CDCl3): 169, 167 (2 C=O), 138, 128, 119 (Aromatic ring carbons) 145, 52 (C<sub>2</sub>&amp;C<sub>5</sub> oxadiazol ring) 132 (C<sub>4</sub>, C<sub>5</sub> triazole). Anal. Calcd for C<sub>14</sub>H<sub>14</sub>N<sub>6</sub>O<sub>3</sub> (314): C, 53.50; H, 4.45; N, 26.75%. Found: C, 53.95; H, 4.45; N, 26.75%.</p>
    <p>2-phenyl-2H-1,2,3-triazole-4-carbaldehyde (11)</p>
    <p>Mesoxaldehyde-2,3-bis phenyl hydrazone (1.1 mmol) was dissolved in 10 ml of a 1:1 absolute ethanol/acetone mixture in a 100 ml beaker and stirred for 10 minutes. Then, an ethanolic solution of Cu (II)chloride (1.1 mmol) was added dropwise to the stirring mixture. The mixture was stirred for 6 hours at room temperature, after which the precipitate formed was filtered and washed with 40% ethanol, and then dried in a desiccator over calcium chloride. The product was recrystallized from ethanol as yellow needles. m.p. 178˚C - 179˚C; IR (cm<sup>−1</sup>, KBr): ν = 1690 (C=O, aldehyde). 1H NMR (CDCl3): δ (ppm) = 9.75 (s, 1H, HCO), 7.58 - 8.46 (m, 6H, Ar-H&amp; C-5 triazole ring protons) C<sup>13</sup> NMR(CDCl3): 185 (CO), 149 (C4 triazole, 139 (C-N), 132 (C5 triazole), 128, 119 (Phenyl ring carbons). Anal. Calcd for C<sub>9</sub>H<sub>7</sub>N<sub>3</sub>O (173): C, 62.42; H, 4.07; N, 24.27%. Found: C, 63.95; H, 4.45; N, 24.75%.</p>
    <p>
     <xref ref-type="bibr" rid="scirp.145431-"></xref>2-phenyl-2H-1,2,3-triazole-4-hydrazine carbothioamide (12)</p>
    <p>A solution of compound (11) (1 g) in 95%ethanol (30 ml) was treated with thiosemicarbazide (1 g), and a few drops of acetic acid. The reaction mixture was heated under reflux for 3 hours, then, concentrated and poured onto crushed ice. The separated crude solid was filtered off, washed successively with water, dried, and recrystallized from ethanol to give (12) colorless needles. The yield of (12) was 77%, m.p. 222˚C - 223˚C; IR (cm<sup>−1</sup>, KBr): ν = 3470, 3172 (NH<sub>2</sub>, NH), 1600 (CN); 1267 (CS). <sup>1</sup>H NMR (CDCl<sub>3</sub>): δ (ppm) = 10.92 (s,1H, N-H, exchangeable), 8.56 (s, 2H, NH<sub>2</sub>, exchangeable), 8.32 (s,1H, C-5 triazole proton), 6.81 - 7.35 (m, 6H, Ar-H &amp; hydrazide protons). Anal. Calcd for C<sub>10</sub>H<sub>10</sub>N<sub>6</sub>S (246): C, 48.78; H, 4.07; N, 34.15%. Found: C, 48.80; H, 4.20; N, 34.25%.</p>
    <p>2-phenyl-2H-1,2,3-triazole-4-hydrazine carboxamide (13)</p>
    <p>A solution of compound (11) (1 g) in 95% ethanol (30 ml) was treated with semicarbazide (1 g), and a few drops of acetic acid. The reaction mixture was heated under reflux for 3 hours, then, concentrated and poured onto crushed ice. The separated crude solid was filtered off, washed successively with water, dried, and recrystallized from ethanol to give (3) colorless needles. The yield of (3) was 70%, m.p. 240˚C - 241˚C; IR (cm<sup>−1</sup>, KBr): ν = 3470,3220 (NH2, NH), 1690 (CO); 1600 (CN). <sup>1</sup>H NMR (CDCl<sub>3</sub>): δ (ppm) 10.92 (s, 1H, N-H, exchangeable), 8.32 (s, 1H, C-5 triazole proton), 8.00 (s, 2H, NH<sub>2</sub>, exchangeable), 6.81 - 7.35 (m, 6H, Ar-H, hydrazide proton). Anal. Calcd for C<sub>10</sub>H<sub>10</sub>N<sub>6</sub>O (230): C, 52.17; H, 4.38; N, 36.50%. Found: C, 52.70; H, 4.20; N, 36.20%.</p>
    <p>N-(4-acetyl-5-(2-phenyl-2H-1,2,3-triazol-4-yl)-4,5-dihydro-1,3,4-oxadiazol-2-yl)acetamide (14)</p>
    <p>A mixture of (13) (5 mmol), acetic anhydride (10 ml), was heated under reflux for 2 h. The reaction mixture was poured into crushed ice, and the solid that separated was filtered off, washed successively with water, dried, and recrystallized from proper solvent to give (8) a good yield (75%). The melting point and all the spectral data are shown to be identical with the compound (10).</p>
   </sec>
   <sec id="s1_3">
    <title>4.2. Computational Methods</title>
    <p>All calculations for the studied compounds were performed by using the Gaussian 09 software package <xref ref-type="bibr" rid="scirp.145431-22">
      [22]
     </xref> with a Pentium IV processor personal computer. DFT performed the calculations by using Becke’s three-parameter exchange functional <xref ref-type="bibr" rid="scirp.145431-23">
      [23]
     </xref> with a hybrid function using the Lee, Yang, and Parr (LYP) correlation functional <xref ref-type="bibr" rid="scirp.145431-24">
      [24]
     </xref> <xref ref-type="bibr" rid="scirp.145431-25">
      [25]
     </xref> B3LYP method, Perdew and Wang’s 1991 (PW91) <xref ref-type="bibr" rid="scirp.145431-26">
      [26]
     </xref> and the range separated hybrid WB97XD <xref ref-type="bibr" rid="scirp.145431-27">
      [27]
     </xref> Energy optimization of the ground states of the compounds was performed by using the split-valence double zeta basis set 6-311G with two polarized basis functions (d and p), for which the p-type orbital was added to all hydrogen atoms as well as a diffuse function. The gas-phase-optimized structure of the most stable isomer was thus classified as its starting geometry, complete geometry optimization without restriction. The geometries were optimized by minimizing the energies concerning all geometrical parameters. Gauss-View and Chem craft programs <xref ref-type="bibr" rid="scirp.145431-28">
      [28]
     </xref> <xref ref-type="bibr" rid="scirp.145431-29">
      [29]
     </xref> were used to get computation results to visualize the optimization structures and draw the frontier molecular orbital (FMOs) and molecular electrostatic potential (MEP) maps <xref ref-type="bibr" rid="scirp.145431-30">
      [30]
     </xref>.</p>
    <sec id="s1">
     <title>5. Conclusion</title>
     <p>In this article, the optimized geometries of six possible tautomers of mesoxaldehyde 2,3-biphenyl (MBPH) (1) have been studied in the gas phase. The different conformers of the compound were studied using the B3LYP functional with a 6-311G(d,p) basis set, and the most stable conformer with the minimum energy was identified. This conformer was then used for further computations. Determination of the energy gap by using HOMO and LUMO energy values and identification of electrophilic and nucleophilic regions. Thermodynamic properties and tautomeric equilibria between different tautomers were calculated using frequency calculations. Finally, this computational study reveals the thermal stability of the theoretical tautomers of mesoxaldehyde. We confirm our results through the synthesis of different heterocyclic compounds using mesoxaldehyde, which were identified using various spectral tools.</p>
    </sec>
   </sec>
  </sec>
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