<?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">JBPC</journal-id><journal-title-group><journal-title>Journal of Biophysical Chemistry</journal-title></journal-title-group><issn pub-type="epub">2153-036X</issn><publisher><publisher-name>Scientific Research Publishing</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.4236/jbpc.2022.133003</article-id><article-id pub-id-type="publisher-id">JBPC-119279</article-id><article-categories><subj-group subj-group-type="heading"><subject>Articles</subject></subj-group><subj-group subj-group-type="Discipline-v2"><subject>Chemistry&amp;Materials Science</subject></subj-group></article-categories><title-group><article-title>
 
 
  DFT Studies on Molecular Structure, Thermodynamics Parameters, HOMO-LUMO and Spectral Analysis of Pharmaceuticals Compound Quinoline (Benzo[b]Pyridine)
 
</article-title></title-group><contrib-group><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Meselu</surname><given-names>Eskezia Ayalew</given-names></name><xref ref-type="aff" rid="aff1"><sub>1</sub></xref><xref ref-type="corresp" rid="cor1"><sup>*</sup></xref></contrib></contrib-group><aff id="aff1"><label>1</label><addr-line>Department of Chemistry, Oda Bultum University, Chiro, Ethiopia</addr-line></aff><pub-date pub-type="epub"><day>19</day><month>08</month><year>2022</year></pub-date><volume>13</volume><issue>03</issue><fpage>29</fpage><lpage>42</lpage><history><date date-type="received"><day>9,</day>	<month>June</month>	<year>2022</year></date><date date-type="rev-recd"><day>16,</day>	<month>August</month>	<year>2022</year>	</date><date date-type="accepted"><day>19,</day>	<month>August</month>	<year>2022</year></date></history><permissions><copyright-statement>&#169; 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><p>
 
 
  Advances in computational chemistry have greatly increased its effectiveness and attractiveness as an emerging adjunct to experimental chemistry but also as an independent research field. This work studied some basic bonding Parameters, geometry, Uv-Visible spectra, HOMO-LUMO and harmonic vibrational frequencies of Quinoline were investigated by using density functional theory (DFT/6-31+ (d, p)) methods. The calculated wave numbers (B3LYP) agree properly with the determined wave numbers. The results obtained are then as compared with experimental statistics in which available. The structural parameters; thermochemistry, rotational constants, IR spectra and frequencies, bond distances, angles and dipole moment were obtained from the optimized stable geometries of the compound. The computed optimized geometric bond lengths and bond angles show good agreement with experimental data of the title compound. The calculated HOMO and LUMO energies indicate that charge transfer occurs within the molecule.
 
</p></abstract><kwd-group><kwd>Computational Chemistry</kwd><kwd> Quinoline</kwd><kwd> Gaussian Software</kwd><kwd> Thermochemistry</kwd></kwd-group></article-meta></front><body><sec id="s1"><title>1. Introduction</title><p>Computational chemistry is a branch of chemistry that overlaps between computer, chemistry and physics [<xref ref-type="bibr" rid="scirp.119279-ref1">1</xref>]. It involves solving chemical problems via the computer based on the fundamental laws of physics [<xref ref-type="bibr" rid="scirp.119279-ref2">2</xref>]. Computational chemistry is a set of techniques for investigating chemical problems by using the approaches of theoretical Chemistry combined with efficient computer programs in order to determine molecular geometry, spectroscopic properties, chemical reactivity, interaction of a substrate with an enzyme, chemical and physical properties of molecules [<xref ref-type="bibr" rid="scirp.119279-ref3">3</xref>].</p><p>The most important computational techniques are the ab-initio is a set of approaches in which molecular structures are calculated with Schrodinger equations, Semi-empirical techniques uses approximations from experimental data to provide inputs into mathematical models and lastly the Molecular Mechanics uses classical physics and semi-empirical force field to explain and interpret the behavior of atoms or molecules. But in this study the best method to do this paper is Density functional theory because DFT methods give information about the structural parameters, orbital interactions and vibrational frequencies [<xref ref-type="bibr" rid="scirp.119279-ref3">3</xref>].</p><p>Quinoline is a heterocyclic aromatic organic compound with the chemical formula C<sub>9</sub>H<sub>7</sub>N. Quinoline 1 or 1-azanaphthalene or benzo[b]pyridine is aromatic nitrogen containing trocyclic compound (<xref ref-type="fig" rid="fig1">Figure 1</xref>). Quinoline is a colourless liquid with an unpleasant odour and boiling point 237˚C. It is miscible with water, ethanol and ether [<xref ref-type="bibr" rid="scirp.119279-ref4">4</xref>]. Quinoline moiety commonly exists in various natural compounds (Cinchona alkaloids), and pharmacological studies have shown that the quinoline ring system is present in many compounds exhibiting a broad range of biological activities. Quinoline has been found to have antibacterial, antifungal, antimalarial, anthelmintic, anticonvulsant, cardiotonic, anti-inflammatory, and analgesic activities [<xref ref-type="bibr" rid="scirp.119279-ref4">4</xref>] [<xref ref-type="bibr" rid="scirp.119279-ref5">5</xref>].</p><sec id="s1_1"><title>1.1. Synthesis of Quinoline</title><p>In different literature, a number of established protocols have been reported for the synthesis of quinoline ring, which can be changed to produce a number of differently substituted quinolines [<xref ref-type="bibr" rid="scirp.119279-ref5">5</xref>]. The quinoline ring has been generally synthesized by Skraup synthesis <xref ref-type="fig" rid="fig2">Figure 2</xref>.</p></sec><sec id="s1_2"><title>1.2. Biological Activities of Quinoline</title><sec id="s1_2_1"><title>1.2.1. Antimicrobial Activity</title><p>The dramatically rising prevalence of multi-drug resistant microbial infections in the past few decades has become a serious health care problem. The search for new antimicrobial agents will consequently always remain as an important and challenging task for medicinal chemists Quinolines [<xref ref-type="bibr" rid="scirp.119279-ref2">2</xref>] [<xref ref-type="bibr" rid="scirp.119279-ref4">4</xref>] is a special structural class of quinoline antimicrobial agents. It is characterized by 1, 4-dihydro-4-oxo-3-pyridine carboxylic acid and a fused benzene ring moiety. Extensive SAR have been established on this nucleus and resulted in number of</p><p>currently marketed synthetic antimicrobial agent like ciprofloxacin [<xref ref-type="bibr" rid="scirp.119279-ref6">6</xref>].</p></sec><sec id="s1_2_2"><title>1.2.2. Anticonvulsant Activity</title><p>Epilepsy is a common neurological disorder and a collective term given to a group of syndromes that involve spontaneous, intermittent, abnormal electrical activity in the brain. The maximal electroshock (MES) test and the subcutaneous pentylenetetrazole (scPTZ) test are the most widely used animal models of epilepsy to characterize the anticonvulsant activity of new compounds. In recent years various molecular modifications of quinoline derivatives have been reported with promising anticonvulsant results [<xref ref-type="bibr" rid="scirp.119279-ref3">3</xref>] [<xref ref-type="bibr" rid="scirp.119279-ref7">7</xref>].</p></sec><sec id="s1_2_3"><title>1.2.3. Anti-Inflammatory Activity</title><p>Non-steroidal anti-inflammatory drugs (NSAIDs) have a wide clinical use for the treatment of inflammatory and painful conditions including rheumatoid arthiritis, soft tissue and oral cavity lesions, respiratory tract infections and fever. Generally aryl or heteroaryl acetic acid derivatives have been exploited for this activity like indomethacin, tolmetin etc. Later on selective legend for COX-2 were developed with low gastrointestinal injury, suppression of TXA2 formation and platelet aggregation [<xref ref-type="bibr" rid="scirp.119279-ref2">2</xref>] [<xref ref-type="bibr" rid="scirp.119279-ref4">4</xref>] [<xref ref-type="bibr" rid="scirp.119279-ref6">6</xref>].</p><p>Computational chemistry has the gain of treating those set of molecules no matter their stability. The purpose of this study was to study the molecular structure, vibrational wavenumbers, thermochemistry and the electronic absorption band theoretically. The molecular structure, harmonic vibrational wavenumbers and IR absorption intensities have been calculated through density functional theory (DFT) the usage of Gaussian 09 software package deal using B3LYP/6-31+G (d, p) basis set.</p></sec></sec></sec><sec id="s2"><title>2. Computational Details</title><p>The quantum chemical calculations reported in this work were carried out using the Gaussian 09 suite of programs and DFT computational methods. In view of this, three different computational methods like, Density Functional Theory (DFT), Hartree Fock (HF) and semi-empirical method) were selected for the study of the compounds. HF does not take into account into this study because it is less computationally expensive [<xref ref-type="bibr" rid="scirp.119279-ref6">6</xref>]. DFT takes into account a part of correlation and it has been reported to provide fairly good results for the description of various molecular properties such as the energy of the Highest Occupied Molecular Orbital (HOMO), the energy of the Lowest Unoccupied Molecular orbital (LUMO), the molecular shape, vibrational frequencies, thermochemistry and energy of optimized geometric structure of the molecule were calculated at B3LYP/6-31+G (d, p) basis set using Gaussian 09 software [<xref ref-type="bibr" rid="scirp.119279-ref7">7</xref>] without any symmetry constraint. In the present study, DFT in combination with the B3LYP were utilized in order to compare the effect of the different functional on the calculated molecular properties for the systems under study.</p></sec><sec id="s3"><title>3. Results and Discussion</title><sec id="s3_1"><title>3.1. Molecular Geometry</title><p>Using the usual geometric parameters, geometry optimization was performed as the first task in density functional theory calculation without using any constraints. The optimized geometric parameters were used in the vibrational frequency calculations to characterize all the stationary points as minima [<xref ref-type="bibr" rid="scirp.119279-ref7">7</xref>]. The optimized ground state structure is as shown in <xref ref-type="fig" rid="fig3">Figure 3</xref>.</p></sec><sec id="s3_2"><title>3.2. Structural Parameters</title><p>Structural parameter like bond distance, length or radius is the common distance between the nuclear of two bonded atoms in a molecule; it has values typically within the range less than 1 to 2 &#197;. This structural parameter influences the force of attraction binding such a molecule i.e. the smaller the bond length between the bonding atoms, the stronger is the force of attraction between them [<xref ref-type="bibr" rid="scirp.119279-ref2">2</xref>]. The bond distances and angle for quinoline are shown in <xref ref-type="table" rid="table1">Table 1</xref> and <xref ref-type="table" rid="table2">Table 2</xref> respectively.</p><p>The B3LYP method leads to geometry parameters, which are close to experimental data. A statistical treatment of these shows that for the bond lengths B3LYP/6-31+G (d, p) (<xref ref-type="fig" rid="fig4">Figure 4</xref>) is slightly better than the bond length (<xref ref-type="fig" rid="fig5">Figure 5</xref>). The correlation coefficient for bond lengths was 0.97 for B3LYP/6-31+G (d, p) methods. The slight variation with the experimental value is due to the fact that the optimization performed in an isolated condition. Most of the optimized</p><table-wrap id="table1" ><label><xref ref-type="table" rid="table1">Table 1</xref></label><caption><title> Bond distance (Length) of quinoline</title></caption><table><tbody><thead><tr><th align="center" valign="middle" >Selected bond length</th><th align="center" valign="middle" >Calculated Value (&#197;)</th><th align="center" valign="middle" >Experimental Value (&#197;)</th><th align="center" valign="middle" >Error</th><th align="center" valign="middle" >Atom 1</th><th align="center" valign="middle" >Atom 2</th></tr></thead><tr><td align="center" valign="middle" >R(C12-C17)</td><td align="center" valign="middle" >1.38</td><td align="center" valign="middle" >1.43</td><td align="center" valign="middle" >0.02</td><td align="center" valign="middle" >12</td><td align="center" valign="middle" >15</td></tr><tr><td align="center" valign="middle" >R(C1-C16)</td><td align="center" valign="middle" >1.42</td><td align="center" valign="middle" >1.93</td><td align="center" valign="middle" >0.51</td><td align="center" valign="middle" >1</td><td align="center" valign="middle" >16</td></tr><tr><td align="center" valign="middle" >R(C1-C2)</td><td align="center" valign="middle" >1.38</td><td align="center" valign="middle" >1.45</td><td align="center" valign="middle" >0.07</td><td align="center" valign="middle" >1</td><td align="center" valign="middle" >2</td></tr><tr><td align="center" valign="middle" >R(C2-C3)</td><td align="center" valign="middle" >1.40</td><td align="center" valign="middle" >1.37</td><td align="center" valign="middle" >0.03</td><td align="center" valign="middle" >2</td><td align="center" valign="middle" >3</td></tr><tr><td align="center" valign="middle" >R(C3-C4)</td><td align="center" valign="middle" >1.43</td><td align="center" valign="middle" >1.43</td><td align="center" valign="middle" >0</td><td align="center" valign="middle" >3</td><td align="center" valign="middle" >4</td></tr><tr><td align="center" valign="middle" >R(C3-C8</td><td align="center" valign="middle" >1.42</td><td align="center" valign="middle" >1.40</td><td align="center" valign="middle" >0.02</td><td align="center" valign="middle" >3</td><td align="center" valign="middle" >8</td></tr><tr><td align="center" valign="middle" >R(C4-C8)</td><td align="center" valign="middle" >1.42</td><td align="center" valign="middle" >1.38</td><td align="center" valign="middle" >0.04</td><td align="center" valign="middle" >4</td><td align="center" valign="middle" >8</td></tr><tr><td align="center" valign="middle" >R(C8-C12)</td><td align="center" valign="middle" >1.38</td><td align="center" valign="middle" >1.42</td><td align="center" valign="middle" >0.04</td><td align="center" valign="middle" >8</td><td align="center" valign="middle" >12</td></tr><tr><td align="center" valign="middle" >R(N15-C11)</td><td align="center" valign="middle" >1.32</td><td align="center" valign="middle" >1.39</td><td align="center" valign="middle" >0.07</td><td align="center" valign="middle" >15</td><td align="center" valign="middle" >11</td></tr><tr><td align="center" valign="middle" >R(C4-N15)</td><td align="center" valign="middle" >1.36</td><td align="center" valign="middle" >1.41</td><td align="center" valign="middle" >0.05</td><td align="center" valign="middle" >4</td><td align="center" valign="middle" >15</td></tr></tbody></table></table-wrap><table-wrap id="table2" ><label><xref ref-type="table" rid="table2">Table 2</xref></label><caption><title> Bond angle of quinoline in degree (˚)</title></caption><table><tbody><thead><tr><th align="center" valign="middle"  rowspan="2"  >Selected bond angle</th><th align="center" valign="middle"  rowspan="2"  >Calculated Value</th><th align="center" valign="middle"  rowspan="2"  >Experimental Value</th><th align="center" valign="middle"  rowspan="2"  >Error</th><th align="center" valign="middle"  colspan="3"  >Connectivity</th></tr></thead><tr><td align="center" valign="middle" >Atom 1</td><td align="center" valign="middle" >Atom 2</td><td align="center" valign="middle" >Atom 3</td></tr><tr><td align="center" valign="middle" >A(C1-C2-H7)</td><td align="center" valign="middle" >120.6</td><td align="center" valign="middle" >-</td><td align="center" valign="middle" ></td><td align="center" valign="middle" >1</td><td align="center" valign="middle" >2</td><td align="center" valign="middle" >7</td></tr><tr><td align="center" valign="middle" >A(C2-C3-C8)</td><td align="center" valign="middle" >123.4</td><td align="center" valign="middle" >118.5</td><td align="center" valign="middle" >5.4</td><td align="center" valign="middle" >2</td><td align="center" valign="middle" >3</td><td align="center" valign="middle" >8</td></tr><tr><td align="center" valign="middle" >A(C8-C3-C4)</td><td align="center" valign="middle" >117.5</td><td align="center" valign="middle" >121.4</td><td align="center" valign="middle" >3.9</td><td align="center" valign="middle" >8</td><td align="center" valign="middle" >3</td><td align="center" valign="middle" >4</td></tr><tr><td align="center" valign="middle" >A(C17-C4-N15)</td><td align="center" valign="middle" >118.5</td><td align="center" valign="middle" >-</td><td align="center" valign="middle" ></td><td align="center" valign="middle" >17</td><td align="center" valign="middle" >4</td><td align="center" valign="middle" >15</td></tr><tr><td align="center" valign="middle" >A(C3-C4-N15)</td><td align="center" valign="middle" >120.4</td><td align="center" valign="middle" >118</td><td align="center" valign="middle" >2.4</td><td align="center" valign="middle" >3</td><td align="center" valign="middle" >4</td><td align="center" valign="middle" >15</td></tr><tr><td align="center" valign="middle" >A(N15-C11-C12)</td><td align="center" valign="middle" >124.2</td><td align="center" valign="middle" >121.6</td><td align="center" valign="middle" >2.6</td><td align="center" valign="middle" >15</td><td align="center" valign="middle" >11</td><td align="center" valign="middle" >12</td></tr><tr><td align="center" valign="middle" >A(N15-C11-H13)</td><td align="center" valign="middle" >116.3</td><td align="center" valign="middle" >-</td><td align="center" valign="middle" ></td><td align="center" valign="middle" >15</td><td align="center" valign="middle" >11</td><td align="center" valign="middle" >13</td></tr><tr><td align="center" valign="middle" >A(H13-C11-C12)</td><td align="center" valign="middle" >119.6</td><td align="center" valign="middle" >-</td><td align="center" valign="middle" ></td><td align="center" valign="middle" >13</td><td align="center" valign="middle" >11</td><td align="center" valign="middle" >12</td></tr></tbody></table></table-wrap><p>bond lengths are slightly longer than the experimental values and the bond angles are slightly different from the experimental ones, because the molecular states are different in the experimental and theoretical processes [<xref ref-type="bibr" rid="scirp.119279-ref8">8</xref>]. It is observed that the influence of the nitrogen substituent on the molecular parameters.</p></sec><sec id="s3_3"><title>3.3. Thermodynamic Properties</title><p>The values of thermodynamic parameters zero point vibrational energy, thermal energy, specific heat capacity, rotational constants, entropy of quinoline at 298.15 K in ground state are listed in <xref ref-type="table" rid="table3">Table 3</xref>. The variation in zero point vibrational energies (ZPVEs) seems to be significant.</p><table-wrap id="table3" ><label><xref ref-type="table" rid="table3">Table 3</xref></label><caption><title> The calculated thermodynamical parameter of Quinoline</title></caption><table><tbody><thead><tr><th align="center" valign="middle"  colspan="2"  >Basis Set</th><th align="center" valign="middle"  colspan="3"  >B3LYP/6-31+G (d, p)</th></tr></thead><tr><td align="center" valign="middle"  colspan="2"  >Zero point energy (Kal/mol)</td><td align="center" valign="middle"  colspan="3"  >92.94</td></tr><tr><td align="center" valign="middle"  colspan="2"   rowspan="2"  >Rotational temperature (Kelvins)</td><td align="center" valign="middle" >T<sub>A</sub></td><td align="center" valign="middle" >T<sub>B</sub></td><td align="center" valign="middle" >T<sub>C</sub></td></tr><tr><td align="center" valign="middle" >0.149</td><td align="center" valign="middle" >0.058</td><td align="center" valign="middle" >0.042</td></tr><tr><td align="center" valign="middle"  rowspan="4"  >Energy (E) (kcal/mol)</td><td align="center" valign="middle" >Translational</td><td align="center" valign="middle"  colspan="3"  >0.889</td></tr><tr><td align="center" valign="middle" >Rotational</td><td align="center" valign="middle"  colspan="3"  >0.889</td></tr><tr><td align="center" valign="middle" >Vibrational</td><td align="center" valign="middle"  colspan="3"  >95.605</td></tr><tr><td align="center" valign="middle" >Total</td><td align="center" valign="middle"  colspan="3"  >97.383</td></tr><tr><td align="center" valign="middle"  rowspan="4"  >Specific heat (C<sub>V</sub>) (cal/mol-kelvin)</td><td align="center" valign="middle" >Translational</td><td align="center" valign="middle"  colspan="3"  >2.981</td></tr><tr><td align="center" valign="middle" >Rotational</td><td align="center" valign="middle"  colspan="3"  >2.981</td></tr><tr><td align="center" valign="middle" >Vibrational</td><td align="center" valign="middle"  colspan="3"  >23.291</td></tr><tr><td align="center" valign="middle" >Total</td><td align="center" valign="middle"  colspan="3"  >29.253</td></tr><tr><td align="center" valign="middle"  rowspan="4"  >Entropy (S) (cal/mol-kelvin)</td><td align="center" valign="middle" >Translational</td><td align="center" valign="middle"  colspan="3"  >40.502</td></tr><tr><td align="center" valign="middle" >Rotational</td><td align="center" valign="middle"  colspan="3"  >28.966</td></tr><tr><td align="center" valign="middle" >Vibrational</td><td align="center" valign="middle"  colspan="3"  >13.838</td></tr><tr><td align="center" valign="middle" >Total Energy</td><td align="center" valign="middle"  colspan="3"  >84.684</td></tr></tbody></table></table-wrap></sec><sec id="s3_4"><title>3.4. Vibrational Spectroscopy</title><p>The vibrational frequency deals with the periodic movement of atoms of a molecule relative to each other and usually range from less than 10<sup>13</sup> Hz to 10<sup>14</sup> Hz, or 300 cm<sup>−</sup><sup>1</sup> 3000 cm<sup>−1</sup>, it is important and necessary because it aids in the elucidation of molecular transition and molecular structure [<xref ref-type="bibr" rid="scirp.119279-ref2">2</xref>]. The calculated wave-numbers and observed IR with relative intensities are shown in (<xref ref-type="table" rid="table4">Table 4</xref> and <xref ref-type="fig" rid="fig6">Figure 6</xref>).</p></sec><sec id="s3_5"><title>3.5. Rotational Constant</title><p>In <xref ref-type="table" rid="table5">Table 5</xref>, the equilibrium rotational constants for the Quinoline calculated at the G09 level of theory are shown below. The error difference between the calculated and experimental rotational constants data for quinoline reveal that there is consistency and therefore shows high accuracy in our findings. This work gives the rotational constant values of 3.1010, 1.218 and 0.875 are consistent with reported experimental results of -, -, - GHz [<xref ref-type="bibr" rid="scirp.119279-ref1">1</xref>]. Therefore, for the quinoline with no experimental data, it is concluded that the G9 computational method has predicted the parameters with high accuracy.</p></sec><sec id="s3_6"><title>3.6. Dipole Moment</title><p>Dipole moment is an important molecular property widely used to probe the infrared spectroscopy of molecule. A molecule is infrared active only when there is a change in dipole moments. Thus, provided that there is a dipole moment change during a normal molecular rotation, vibration or a combination of the</p><table-wrap id="table4" ><label><xref ref-type="table" rid="table4">Table 4</xref></label><caption><title> Calculated and experimental vibrational frequencies of quinoline (cm<sup>−1</sup>) [<xref ref-type="bibr" rid="scirp.119279-ref7">7</xref>] [<xref ref-type="bibr" rid="scirp.119279-ref9">9</xref>]</title></caption><table><tbody><thead><tr><th align="center" valign="middle" >Calculated frequency (cm<sup>−1</sup>)</th><th align="center" valign="middle" >Experimental frequency (cm<sup>−1</sup>)</th><th align="center" valign="middle" >% error (cm<sup>−1</sup>)</th><th align="center" valign="middle" >IR Intensity</th></tr></thead><tr><td align="center" valign="middle" >144.13</td><td align="center" valign="middle" >155.4</td><td align="center" valign="middle" >7.82</td><td align="center" valign="middle" >4.57</td></tr><tr><td align="center" valign="middle" >177.87</td><td align="center" valign="middle" >188.45</td><td align="center" valign="middle" >−5.95</td><td align="center" valign="middle" >2.50</td></tr><tr><td align="center" valign="middle" >300</td><td align="center" valign="middle" >325</td><td align="center" valign="middle" >−8.33</td><td align="center" valign="middle" >0.078</td></tr><tr><td align="center" valign="middle" >370.96</td><td align="center" valign="middle" >354</td><td align="center" valign="middle" >4.499</td><td align="center" valign="middle" >1.84</td></tr><tr><td align="center" valign="middle" >409.62</td><td align="center" valign="middle" >425</td><td align="center" valign="middle" >−3.75</td><td align="center" valign="middle" >71.19</td></tr><tr><td align="center" valign="middle" >464.43</td><td align="center" valign="middle" >486.43</td><td align="center" valign="middle" >−4.74</td><td align="center" valign="middle" >11.99</td></tr><tr><td align="center" valign="middle" >511.76</td><td align="center" valign="middle" >517.34</td><td align="center" valign="middle" >−1.09</td><td align="center" valign="middle" >1.11</td></tr><tr><td align="center" valign="middle" >517.76</td><td align="center" valign="middle" >536.23</td><td align="center" valign="middle" >−3.57</td><td align="center" valign="middle" >0.51</td></tr><tr><td align="center" valign="middle" >524.09</td><td align="center" valign="middle" >542.43</td><td align="center" valign="middle" >−3.5</td><td align="center" valign="middle" >0.26</td></tr><tr><td align="center" valign="middle" >583.14</td><td align="center" valign="middle" >574.32</td><td align="center" valign="middle" >1.51</td><td align="center" valign="middle" >0.13</td></tr><tr><td align="center" valign="middle" >611.08</td><td align="center" valign="middle" >599.23</td><td align="center" valign="middle" >1.94</td><td align="center" valign="middle" >0.94</td></tr><tr><td align="center" valign="middle" >660.42</td><td align="center" valign="middle" >636.23</td><td align="center" valign="middle" >3.66</td><td align="center" valign="middle" >48.72</td></tr><tr><td align="center" valign="middle" >712.46</td><td align="center" valign="middle" >736.34</td><td align="center" valign="middle" >−3.35</td><td align="center" valign="middle" >4.03</td></tr><tr><td align="center" valign="middle" >749.97</td><td align="center" valign="middle" >764.32</td><td align="center" valign="middle" >−1.91</td><td align="center" valign="middle" >95.48</td></tr><tr><td align="center" valign="middle" >762.37</td><td align="center" valign="middle" >789.54</td><td align="center" valign="middle" >−3.56</td><td align="center" valign="middle" >1.10</td></tr><tr><td align="center" valign="middle" >765.27</td><td align="center" valign="middle" >789.43</td><td align="center" valign="middle" >−3.16</td><td align="center" valign="middle" >14.81</td></tr><tr><td align="center" valign="middle" >812.48</td><td align="center" valign="middle" >836.43</td><td align="center" valign="middle" >−2.95</td><td align="center" valign="middle" >2.72</td></tr><tr><td align="center" valign="middle" >852.48</td><td align="center" valign="middle" >845.65</td><td align="center" valign="middle" >0.80</td><td align="center" valign="middle" >0.27</td></tr><tr><td align="center" valign="middle" >912.55</td><td align="center" valign="middle" >923.67</td><td align="center" valign="middle" >−1.21</td><td align="center" valign="middle" >4.31</td></tr><tr><td align="center" valign="middle" >965.75</td><td align="center" valign="middle" >989.32</td><td align="center" valign="middle" >−2.44</td><td align="center" valign="middle" >0.018</td></tr><tr><td align="center" valign="middle" >1035.76</td><td align="center" valign="middle" >1012.34</td><td align="center" valign="middle" >2.26</td><td align="center" valign="middle" >40.13</td></tr><tr><td align="center" valign="middle" >1096.79</td><td align="center" valign="middle" >1112.54</td><td align="center" valign="middle" >7.69</td><td align="center" valign="middle" >12.14</td></tr><tr><td align="center" valign="middle" >1139.07</td><td align="center" valign="middle" >1154.45</td><td align="center" valign="middle" >−1.35</td><td align="center" valign="middle" >8.069</td></tr><tr><td align="center" valign="middle" >1196.30</td><td align="center" valign="middle" >1187.32</td><td align="center" valign="middle" >0.75</td><td align="center" valign="middle" >6.677</td></tr><tr><td align="center" valign="middle" >1235.38</td><td align="center" valign="middle" >1223.65</td><td align="center" valign="middle" >0.95</td><td align="center" valign="middle" >17.46</td></tr><tr><td align="center" valign="middle" >1274.08</td><td align="center" valign="middle" >1239.31</td><td align="center" valign="middle" >2.73</td><td align="center" valign="middle" >12.17</td></tr><tr><td align="center" valign="middle" >1290.17</td><td align="center" valign="middle" >1265.98</td><td align="center" valign="middle" >1.87</td><td align="center" valign="middle" >5.39</td></tr><tr><td align="center" valign="middle" >1399.65</td><td align="center" valign="middle" >1389.43</td><td align="center" valign="middle" >0.73</td><td align="center" valign="middle" >32.75</td></tr><tr><td align="center" valign="middle" >1428.92</td><td align="center" valign="middle" >1412.54</td><td align="center" valign="middle" >1.15</td><td align="center" valign="middle" >35.35</td></tr><tr><td align="center" valign="middle" >1507.33</td><td align="center" valign="middle" >1512.43</td><td align="center" valign="middle" >−033</td><td align="center" valign="middle" >22.67</td></tr><tr><td align="center" valign="middle" >1531.02</td><td align="center" valign="middle" >1523.32</td><td align="center" valign="middle" >0.5</td><td align="center" valign="middle" >0.20</td></tr><tr><td align="center" valign="middle" >1605.56</td><td align="center" valign="middle" >1623.45</td><td align="center" valign="middle" >−1.11</td><td align="center" valign="middle" >4.43</td></tr><tr><td align="center" valign="middle" >1628.56</td><td align="center" valign="middle" >1624.45</td><td align="center" valign="middle" >0.25</td><td align="center" valign="middle" >5.95</td></tr><tr><td align="center" valign="middle" >3167.27</td><td align="center" valign="middle" >3138.23</td><td align="center" valign="middle" >0.92</td><td align="center" valign="middle" >13.42</td></tr><tr><td align="center" valign="middle" >3178.16</td><td align="center" valign="middle" >3189.21</td><td align="center" valign="middle" >−0.35</td><td align="center" valign="middle" >4.72</td></tr><tr><td align="center" valign="middle" >3200.13</td><td align="center" valign="middle" >3223.32</td><td align="center" valign="middle" >−0.72</td><td align="center" valign="middle" >6.93</td></tr><tr><td align="center" valign="middle" >3207.20</td><td align="center" valign="middle" >3224.54</td><td align="center" valign="middle" >−0.54</td><td align="center" valign="middle" >20.80</td></tr><tr><td align="center" valign="middle" >3243.91</td><td align="center" valign="middle" >3268.9</td><td align="center" valign="middle" >−0.77</td><td align="center" valign="middle" >4.42</td></tr><tr><td align="center" valign="middle" >3650.53</td><td align="center" valign="middle" >3689.34</td><td align="center" valign="middle" >−1.06</td><td align="center" valign="middle" >50.07</td></tr></tbody></table></table-wrap><table-wrap id="table5" ><label><xref ref-type="table" rid="table5">Table 5</xref></label><caption><title> Rotational constants (GHz) for quinoline [<xref ref-type="bibr" rid="scirp.119279-ref1">1</xref>] [<xref ref-type="bibr" rid="scirp.119279-ref2">2</xref>] [<xref ref-type="bibr" rid="scirp.119279-ref5">5</xref>]</title></caption><table><tbody><thead><tr><th align="center" valign="middle"  colspan="2"   rowspan="2"  >Molecules</th><th align="center" valign="middle"  colspan="3"  >Rotational constants (GHz)</th></tr></thead><tr><td align="center" valign="middle" >A</td><td align="center" valign="middle" >B</td><td align="center" valign="middle" >C</td></tr><tr><td align="center" valign="middle"  rowspan="3"  >Quinoline</td><td align="center" valign="middle" >Calculated value</td><td align="center" valign="middle" >3.101</td><td align="center" valign="middle" >1.22</td><td align="center" valign="middle" >0.875</td></tr><tr><td align="center" valign="middle" >Experimental value</td><td align="center" valign="middle" >-</td><td align="center" valign="middle" >-</td><td align="center" valign="middle" >-</td></tr><tr><td align="center" valign="middle" >% Error -</td><td align="center" valign="middle" >-</td><td align="center" valign="middle" >-</td><td align="center" valign="middle" >-</td></tr></tbody></table></table-wrap><p>two molecular rotation–vibrations, chemical compounds can absorb at the infrared regions and are said to be IR active [<xref ref-type="bibr" rid="scirp.119279-ref1">1</xref>] [<xref ref-type="bibr" rid="scirp.119279-ref2">2</xref>]. For charged systems, its value depends on the choice of origin and molecular orientation [<xref ref-type="bibr" rid="scirp.119279-ref9">9</xref>]. As a result of DFT (B3LYP) calculations, the dipole moment of quinoline (2.004 D) was observed in this study agrees well with the experimental reported literature data was for B3LYP/6-31G+ (d, p).</p></sec><sec id="s3_7"><title>3.7. UV-Visible Spectroscopy</title><p>UV-visible spectroscopy offers some valuable information about the nature of electronic transitions between the two prominent frontier molecular orbitals named as; HOMO (characterized with the aid of using maximum occupied molecular orbital) and LUMO (characterized with the aid of using unoccupied molecular orbital) [<xref ref-type="bibr" rid="scirp.119279-ref10">10</xref>]. The nature of electronic transition has been studied with the aid of using the usage of TD-DFT using 6-31+G (d, p) basis set. The theoretical absorption spectra are shown in <xref ref-type="fig" rid="fig7">Figure 7</xref>. The calculated electronic transitions with excessive oscillator strength are listed in <xref ref-type="table" rid="table6">Table 6</xref>.</p><table-wrap id="table6" ><label><xref ref-type="table" rid="table6">Table 6</xref></label><caption><title> Calculated absorption wavelength (nm), excitation energies E (eV), and oscillator strengths (f) of quinoline</title></caption><table><tbody><thead><tr><th align="center" valign="middle"  colspan="3"  >TD-DFT/6-31+G (d, p)</th></tr></thead><tr><td align="center" valign="middle" >λ (nm)</td><td align="center" valign="middle" >(f)</td><td align="center" valign="middle" >E (eV)</td></tr><tr><td align="center" valign="middle" >570.76</td><td align="center" valign="middle" >0.045</td><td align="center" valign="middle" >0.333</td></tr></tbody></table></table-wrap></sec><sec id="s3_8"><title>3.8. HOMO–LUMO Analysis</title><p>HOMO (Highest Occupied Molecular Orbital) and LUMO (Lowest Unoccupied Molecular Orbital) are referred to as Molecular orbitals. They were very important electronic parameters for chemist and physicist. The LUMO are referred to as the inner-maximum orbital containing loose locations to simply accept electrons [<xref ref-type="bibr" rid="scirp.119279-ref11">11</xref>]. The HOMO represents the capacity to donate an electron; LUMO as an electron acceptor represents the capacity to obtain an electron. The energy gap between HOMO and LUMO determines the kinetic stability, chemical reactivity, and optical polarizability and chemical hardness-softness of a molecule [<xref ref-type="bibr" rid="scirp.119279-ref9">9</xref>]. The HOMO–LUMO energy gap for quinoline has been calculated DFT level. The Eigen values of LUMO–HOMO energy gap reflect the chemical activity of the molecule [<xref ref-type="bibr" rid="scirp.119279-ref8">8</xref>]. The atomic orbital compositions of the molecular orbitals are sketched in <xref ref-type="fig" rid="fig8">Figure 8</xref>. The calculated energies and the energy gap is</p><p>HOMO energy = −6.646 eV,</p><p>LUMO energy = −1.816 eV,</p><p>HOMO—LUMO energy gap = −4.83 eV.</p><p>The lower with inside in the HOMO and LUMO energy gap explains the eventual charge transfer interaction taking place within the molecule, due to the strong electron-accepting ability of the electron acceptor group. The strong charge transfer interaction is responsible for the bioactivity of the molecule.</p><p>Based on the above molecular orbitals composition (HOMO and LUMO) information we can determine the molecular properties, related to the reactivity and selectivity of the compounds, were estimated following the Koopmans’s theorem relating the energy of the HOMO and the LUMO (<xref ref-type="table" rid="table7">Table 7</xref>). Electronegativity is estimated using the following the equation:</p><p>x = − 1 2 ( E HOMO + E LUMO ) (1)</p><p>Chemical hardness (η) measures the resistance of an atom to a charge transfer [<xref ref-type="bibr" rid="scirp.119279-ref6">6</xref>]. On the basis of frontier molecular orbitals, chemical hardness corresponds to the gap between the Highest Occupied Molecular Orbital (HOMO) and Lowest Unoccupied Molecular Orbital (LUMO) [<xref ref-type="bibr" rid="scirp.119279-ref12">12</xref>].</p><p>Chemical hardness is approximated using the equation.</p><p>η = − 1 2 ( E HOMO − E LUMO ) (2)</p><p>Electron polarizability, also called chemical softness (σ), describes the capacity of an atom or group of atoms to receive electrons and is estimated by using the equation</p><p>σ = 1 η = − 2 E HOMO − E LUMO (3)</p><table-wrap id="table7" ><label><xref ref-type="table" rid="table7">Table 7</xref></label><caption><title> Energy of HOMO, LUMO, energy gaps (ΔE<sub>HOMO–LUMO</sub>), Electron polarizability and Chemical hardness of quinoline (eV) [<xref ref-type="bibr" rid="scirp.119279-ref6">6</xref>]</title></caption><table><tbody><thead><tr><th align="center" valign="middle" >Basis set</th><th align="center" valign="middle" >E<sub>HOMO</sub></th><th align="center" valign="middle" >E<sub>LUMO</sub></th><th align="center" valign="middle" >Δ(<sub>E</sub><sub>HOMO–LUMO</sub>)</th><th align="center" valign="middle" >Electron polarizability (σ)</th><th align="center" valign="middle" >Chemical hardness</th></tr></thead><tr><td align="center" valign="middle" >DFT/6-31+G (d, p)</td><td align="center" valign="middle" >−6.646</td><td align="center" valign="middle" >−1.816</td><td align="center" valign="middle" >−4.83</td><td align="center" valign="middle" >0.414</td><td align="center" valign="middle" >2.415</td></tr></tbody></table></table-wrap><table-wrap id="table8" ><label><xref ref-type="table" rid="table8">Table 8</xref></label><caption><title> Mulliken atomic charges of quinoline</title></caption><table><tbody><thead><tr><th align="center" valign="middle" >Atoms</th><th align="center" valign="middle" >B3LYP/6-31+G (d, p)</th></tr></thead><tr><td align="center" valign="middle" >C1</td><td align="center" valign="middle" >−0.140663</td></tr><tr><td align="center" valign="middle" >C2</td><td align="center" valign="middle" >−0.112599</td></tr><tr><td align="center" valign="middle" >C3</td><td align="center" valign="middle" >−0.028592</td></tr><tr><td align="center" valign="middle" >C4</td><td align="center" valign="middle" >0.045878</td></tr><tr><td align="center" valign="middle" >H1</td><td align="center" valign="middle" >0.134316</td></tr><tr><td align="center" valign="middle" >H2</td><td align="center" valign="middle" >0.131265</td></tr><tr><td align="center" valign="middle" >C7</td><td align="center" valign="middle" >−0.163647</td></tr><tr><td align="center" valign="middle" >H6</td><td align="center" valign="middle" >0.127712</td></tr><tr><td align="center" valign="middle" >H8</td><td align="center" valign="middle" >0.131018</td></tr><tr><td align="center" valign="middle" >C11</td><td align="center" valign="middle" >−0.090727</td></tr><tr><td align="center" valign="middle" >C12</td><td align="center" valign="middle" >−0.135540</td></tr><tr><td align="center" valign="middle" >H13</td><td align="center" valign="middle" >0.148544</td></tr><tr><td align="center" valign="middle" >N15</td><td align="center" valign="middle" >−0.259007</td></tr></tbody></table></table-wrap></sec><sec id="s3_9"><title>3.9. Mulliken Atomic Charges</title><p>Mulliken atomic charge calculation is a critical device with inside the software the application of quantum chemical calculation to molecular system because atomic charges influence dipole moment, molecular polarizability, electronic structure of molecular systems. The atomic charge depends on basis set presumably occur due to polarization [<xref ref-type="bibr" rid="scirp.119279-ref9">9</xref>]. The calculated Mulliken charge values of N atom is −0.259007 for DFT/6-31+G (d, p) (<xref ref-type="table" rid="table8">Table 8</xref>).</p><p>The charge of H1, H2, H6, H8, and H13 is positive in DFT diffuse functions. Hydrogen atom exhibits a positive charge, which is an acceptor atom. Considering DFT methods and basis set used in the atomic charge calculation, the carbon atoms (C1, C2, C3, C7, C11 and C12) exhibit a substantial negative charge, which are donor atoms. But the charge of C4 is exhibit a positive charge, which is an acceptor atom.</p></sec></sec><sec id="s4"><title>4. Conclusion</title><p>In this study work, we have performed the experimental and theoretical vibrational analysis of a pharmaceutically important heterocyclic aromatic molecule, quinoline for the first time. The optimized molecular geometry, vibrational frequencies, infrared activities, energy gap between HOMO-LUMO and thermodynamics of the molecule in the ground state have been calculated by using DFT (B3LYP) methods with 6–31+G (d, p) basis set. The vibrational frequencies were calculated and scaled values are compared with the recorded IR spectra of the compound. The observed and the calculated frequencies are found to be in good agreement. Furthermore, the thermodynamic and total dipole moment properties of the compound have been calculated in order to get insight into molecular structure of the compound. These computations are carried out with the main aim that the results will be of assistance in the quest of the experimental and theoretical evidence for the title molecule in biological activity and coordination chemistry.</p></sec><sec id="s5"><title>Acknowledgements</title><p>The author is Special thanks to Mr. Teshome Mender for constructive comment and providing access to the computing facilities.</p></sec><sec id="s6"><title>Conflicts of Interest</title><p>The author declares that there is no conflict of interest.</p></sec><sec id="s7"><title>Cite this paper</title><p>Ayalew, M.E. (2022) DFT Studies on Molecular Structure, Thermodynamics Parameters, HOMO-LUMO and Spectral Analysis of Pharmaceuticals Compound Quinoline (Benzo[b]Pyridine). Journal of Biophysical Chemistry, 13, 29-42. https://doi.org/10.4236/jbpc.2022.133003</p></sec></body><back><ref-list><title>References</title><ref id="scirp.119279-ref1"><label>1</label><mixed-citation publication-type="other" xlink:type="simple">Etim, E.E., Lawal, U., Andrew, C. and Udegbunam, I.S. (2018) Computational Studies on C3H4N2 Isomers. International Journal of Advanced Research in Chemical Science, 5, 29-40.</mixed-citation></ref><ref id="scirp.119279-ref2"><label>2</label><mixed-citation publication-type="other" xlink:type="simple">Etim, E.E., Oko Emmanuel, G., Fridy, I. and Olagboye, A. (2020) Quantum Chemical Studies on Furan and Its Isomers. International Journal of Modern Chemistry, 12, 77-98.</mixed-citation></ref><ref id="scirp.119279-ref3"><label>3</label><mixed-citation publication-type="other" xlink:type="simple">Temam, A.G. and Lelisho, T.A. (2020) DFT Study on Coupling Reaction of Carbon Dioxide with Ethylene Oxide Catalyzed by 1,4,6-Triaza-Bicyclo[3.3. 0]Oct-4-Enium Bromide (TBO.HBr). Molecular Physics, 118, Article ID: 1623931.  
https://doi.org/10.1080/00268976.2019.1623931</mixed-citation></ref><ref id="scirp.119279-ref4"><label>4</label><mixed-citation publication-type="other" xlink:type="simple">Mondal, S. (2018) Heterocyclic Chemistry Quinoline, Isoquinoline and Indole. Phytochemical and Biological Studies.</mixed-citation></ref><ref id="scirp.119279-ref5"><label>5</label><mixed-citation publication-type="other" xlink:type="simple">Kouznetsov, V.V., Mendez, L.Y. and Gomez, C.M. (2005) Recent Progress in the Synthesis of Quinolones. Current Organic Chemistry, 9, 141-161.  
https://doi.org/10.2174/1385272053369196</mixed-citation></ref><ref id="scirp.119279-ref6"><label>6</label><mixed-citation publication-type="other" xlink:type="simple">Ebenso, E.E., Kabanda, M.M., Arslan, T., Saracoglu, M., et al. (2012) Quantum Chemical Investigations on Quinoline Derivatives as Effective Corrosion Inhibitors for Mild Steel in Acidic Medium. International Journal of Electrochemical Science, 7, 5643-5676.</mixed-citation></ref><ref id="scirp.119279-ref7"><label>7</label><mixed-citation publication-type="other" xlink:type="simple">Joshi, B.D., Thakur, G. and Chaudhary, M.K. (2021) Molecular Structure, Homo-Lumo and Vibrational Analysis of Ergoline by Density Functional Theory. Scientific World, 14, 21-30.</mixed-citation></ref><ref id="scirp.119279-ref8"><label>8</label><mixed-citation publication-type="other" xlink:type="simple">Suresh, D.M., Amalanathan, M., Sebastian, S., Sajan, D., Joe, I.H., Jothy, V.B. and Nemec, I. (2013) Vibrational Spectral Investigation and Natural Bond Orbital Analysis of Pharmaceutical Compound 7-Amino-2,4-Dimethylquinolinium formate—DFT Approach. Spectrochimica Acta Part A: Molecular and Biomolecular Spectroscopy, 115, 595-602. https://doi.org/10.1016/j.saa.2013.06.077</mixed-citation></ref><ref id="scirp.119279-ref9"><label>9</label><mixed-citation publication-type="other" xlink:type="simple">Sathyanarayanmoorthi, V., Karunathan, R. and Kannappan, V. (2013) Molecular Modeling and Spectroscopic Studies of Benzothiazole. Journal of Chemistry, 2013, Article ID: 258519. https://doi.org/10.1155/2013/258519</mixed-citation></ref><ref id="scirp.119279-ref10"><label>10</label><mixed-citation publication-type="other" xlink:type="simple">Gunasekaran, S., Kumaresan, S., Arunbalaji, R., Anand, G. and Srinivasan, S. (2008) Density Functional Theory Study of Vibrational Spectra, and Assignment of Fundamental Modes of Dacarbazine. Journal of Chemical Sciences, 120, 315-324.  
https://doi.org/10.1007/s12039-008-0054-8</mixed-citation></ref><ref id="scirp.119279-ref11"><label>11</label><mixed-citation publication-type="journal" xlink:type="simple"><name name-style="western"><surname>Sertbakan</surname><given-names> T.R. </given-names></name>,<etal>et al</etal>. (<year>2017</year>)<article-title>Structure, Spectroscopic and Quantum Chemical Investigations of 4-Amino-2-Methyl-8-(Trifluoromethyl) Quinoline</article-title><source> Celal Bayar University Journal of Science</source><volume> 13</volume>,<fpage> 851</fpage>-<lpage>861</lpage>.<pub-id pub-id-type="doi"></pub-id></mixed-citation></ref><ref id="scirp.119279-ref12"><label>12</label><mixed-citation publication-type="journal" xlink:type="simple"><name name-style="western"><surname>Mebi</surname><given-names> C.A. </given-names></name>,<etal>et al</etal>. (<year>2011</year>)<article-title>DFT Study on Structure, Electronic Properties, and Reactivity of Cis-Isomers of [(NC5H4-S)2Fe(CO)2]</article-title><source> Journal of Chemical Sciences</source><volume> 123</volume>,<fpage> 727</fpage>-<lpage>731</lpage>.<pub-id pub-id-type="doi"></pub-id></mixed-citation></ref></ref-list></back></article>