<?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">OJOGas</journal-id><journal-title-group><journal-title>Open Journal of Yangtze Oil and Gas</journal-title></journal-title-group><issn pub-type="epub">2473-1889</issn><publisher><publisher-name>Scientific Research Publishing</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.4236/ojogas.2022.72007</article-id><article-id pub-id-type="publisher-id">OJOGas-115607</article-id><article-categories><subj-group subj-group-type="heading"><subject>Articles</subject></subj-group><subj-group subj-group-type="Discipline-v2"><subject>Engineering</subject></subj-group></article-categories><title-group><article-title>
 
 
  Corrosion Inhibition Studies of Benzoxazole Derivates for N80 Steel in 1 M HCl Solution: Synthesis, Experimental, and DTF Studies
 
</article-title></title-group><contrib-group><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Dongqiu</surname><given-names>Yang</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>Xiaojun</surname><given-names>Feng</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>Ning</surname><given-names>Yan</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>Yanqun</surname><given-names>Wang</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>Lilin</surname><given-names>Lu</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>Ping</surname><given-names>Mei</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>Wu</surname><given-names>Chen</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>Lu</surname><given-names>Lai</given-names></name><xref ref-type="aff" rid="aff1"><sup>1</sup></xref><xref ref-type="corresp" rid="cor1"><sup>*</sup></xref></contrib></contrib-group><aff id="aff2"><addr-line>College of Chemistry and Chemical Engineering, Wuhan University of Science and Technology, Wuhan, China</addr-line></aff><aff id="aff1"><addr-line>College of Chemistry and Environmental Engineering, Yangtze University, Jingzhou, China</addr-line></aff><pub-date pub-type="epub"><day>28</day><month>02</month><year>2022</year></pub-date><volume>07</volume><issue>02</issue><fpage>101</fpage><lpage>123</lpage><history><date date-type="received"><day>7,</day>	<month>January</month>	<year>2022</year></date><date date-type="rev-recd"><day>26,</day>	<month>February</month>	<year>2022</year>	</date><date date-type="accepted"><day>1,</day>	<month>March</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>
 
 
  Three benzoxazole corrosion inhibitors, namely 2-(benzo [d]oxazol-2-yl)phenol (BOP), 6-(benzo [d]oxazol-2-yl)pyridin-2-ol (BOPO), and 2-(quinolin-2-yl) benzo [d]oxazole (QBO), were synthesized. Moreover, their corrosion inhibition performance for N80 steel in 1 M HCl solution at 303 K was measured by the electrochemical measurements and surface analysis studies. The results show that the inhibition efficiency of all corrosion inhibitors increases with the increase of concentration. At the same concentration, the order of inhibition efficiency is BOP &lt; BOPO &lt; QBO. Moreover, the studied inhibitors act as mixed-type inhibitors, and the adsorption of all inhibitors on N80 steel followed the Langmuir adsorption isotherm. Further, we have examined the effect of iodide ions on inhibition efficiency. The results show that BOP and KI are synergistic, BOPO and QBO are competitive adsorptions with KI. The quantum chemical parameters such as highest occupied molecular orbital, lowest unoccupied molecular orbital energy levels, and energy gap were calculated by the density functional theory (DTF). The relations between the inhibition efficiency and some quantum parameters have been discussed. The protective effect of the three inhibitors followed the sequence of BOP &lt; BOPO &lt; QBO. The results obtained from quantum chemicals and electrochemical were in reasonable agreement.
 
</p></abstract><kwd-group><kwd>N80 Steel</kwd><kwd> Benzoxazole Derivatives</kwd><kwd> Corrosion Inhibition</kwd><kwd> Electrochemical Measurements</kwd><kwd> DFT</kwd></kwd-group></article-meta></front><body><sec id="s1"><title>1. Introduction</title><p>It is of practical significance and great value to study the corrosion and protection technology of oil and gas fields [<xref ref-type="bibr" rid="scirp.115607-ref1">1</xref>]. Therefore, some measures, such as surface coatings, electrochemical protection, corrosion inhibitors, have been applied in metal protection. Among these technologies, corrosion inhibitors are widely used in metal protection due to their advantages of economy, efficiency, and convenience [<xref ref-type="bibr" rid="scirp.115607-ref2">2</xref>] [<xref ref-type="bibr" rid="scirp.115607-ref3">3</xref>]. So far, a large number of corrosion inhibitors have been explored and applied in different industrial fields. Among these corrosion inhibitors, heterocyclic compounds efficiently provide electrons to the iron surface, forming coordination bonds and thus enhancing adsorption because of their heterocyclic atoms and conjugated system. Hence, heterocyclic compounds usually have excellent corrosion inhibition performance [<xref ref-type="bibr" rid="scirp.115607-ref4">4</xref>] [<xref ref-type="bibr" rid="scirp.115607-ref5">5</xref>].</p><p>Benzoxazole and its derivatives are common heterocyclic compounds and have been used as corrosion inhibitors. Given the facts mentioned above, in this article, three benzoxazole derivatives namely 2-(benzo [d]oxazol-2-yl)phenol (BOP), 6-(benzo [d]oxazol-2-yl)pyridine-2-ol (BOPO), and 2-(quinoline-2-yl)benzo [d]oxazole (QBO) were synthesized. The corrosion inhibition properties of the three inhibitors for N80 steel in 1 M HCl solution were surveyed by polarization curves and electrochemical impendence spectroscopy (EIS). Fourier transform infrared (FT-IR), Field emission scanning electron microscope (FE-SEM), as well as X-ray diffraction (XRD) were used to support electrochemical results and provide additional evidence on the morphological changes of the N80 steel surface during the corrosion inhibition process. Furthermore, theoretical calculations based on density functional theory (DFT) were employed to correlate the inhibition ability of synthesized benzoxazole derivatives with its quantum chemical parameters.</p></sec><sec id="s2"><title>2. Experimental Section</title><sec id="s2_1"><title>2.1. Materials</title><p>2-aminophenol, polyphosphoric acid, isoquinoline-1-carboxylic acid, 6-hydroxy-2-pyridine carboxylic acid, and salicylic acid were purchased from Macklin reagent (Shanghai, China). Ethanol, ethyl, and magnesium sulfate anhydrous were obtained from Aladdin Reagent (Shanghai, China). All chemicals were used as received without any further purification.</p></sec><sec id="s2_2"><title>2.2. Synthesis of Corrosion Inhibitors</title><p>BOP, BOPO, and QBO were synthesized according to the reported literature [<xref ref-type="bibr" rid="scirp.115607-ref6">6</xref>]. During the experiment process, and the synthetic route is shown in <xref ref-type="fig" rid="fig1">Figure 1</xref>. Polyphosphoric acid (40 g) was added to a mixture of 2-aminophenol (10 mmol) and the corresponding dicarboxylic acid derivatives (10 mmol) at 60˚C. Afterward, these reactants were subjected to a temperature-programmed reaction under nitrogen gas: 1 h at 60˚C, 3 h at 120˚C, and 4 h at 200˚C. The progress of the reaction was monitored by Thin Layer Chromatography. The mixture was quenched with ice water and then extracted with ethyl acetate. The organic layer was dried by anhydrous magnesium sulfate and evaporated to give the crude product. Finally, the pure product (BOP, BOPO, and QBO) were obtained by which was purified by crystallization with ethanol ether. Moreover, <sup>1</sup>H-NMR and FT-IR spectra confirmed the formation of corrosion inhibitors, showing in <xref ref-type="fig" rid="fig2">Figure 2</xref> and <xref ref-type="fig" rid="fig3">Figure 3</xref>.</p></sec><sec id="s2_3"><title>2.3. Electrochemical Measurements</title><p>Potentiodynamic polarization and electrochemical impedance measurement were carried out at the Chi760e electrochemical workstation with a classical three-electrode system at 303 K controlled in the thermostat water bath. N80 steel</p><p>was used as the working electrode (WE) and polished on 500 to 4000 mesh sandpaper before each measurement. The platinum sheet was applied as the counter electrode (CE), the saturated calomel electrode was selected as a reference electrode (RE) and connected to a Lukin capillary. Before electrochemical tests, the WE was kept in the test solution for 30 min, and then the open circuit potential (OCP) was monitored for 60 min to obtain a steady state. Polarization curves measurements were performed at a constant sweep rate of 1 mV&#183;s<sup>–1</sup> in the scanning range from –250 mV to +250 mV, concerning the open circuit potential (OCP). In addition, the corrosion current density was obtained by Tafel extrapolation. The experiments were performed in quiescent conditions while the temperature was maintained constant (within &#177;1˚C). The average values of three replicates obtained for each test are reported.</p></sec><sec id="s2_4"><title>2.4. Surface Analyses</title><p>FT-IR (Thermo Fisher Scientific, America) technique was used to study the corrosion inhibition on the N80 steel surface after immersion for 24 h in 1 M HCl solution in the spectral range of 500 - 4000 cm<sup>–1</sup>. The morphologies of the studied N80 steel surfaces in the absence and presence of the investigated corrosion inhibitors were recorded by using FE-SEM (TESCANTESCAN, Czech Republic) at 10.0 kV. In addition, the XRD patterns of the samples were investigated by X-ray diffraction (XRD, PALMERNACO) from 20˚ to 90˚ at a scan rate of 10˚/min.</p></sec><sec id="s2_5"><title>2.5. Quantum Chemical Calculation</title><p>DTF was performed to optimize the geometries of inhibitors molecules using the Dmol<sup>3</sup> module in Material Studio 2017 software [<xref ref-type="bibr" rid="scirp.115607-ref7">7</xref>]. The B3LYP was used for the electronic exchange-correlation potential, and all electronic calculations were performed with double numeric quality with polarization (DNP) basis set [<xref ref-type="bibr" rid="scirp.115607-ref8">8</xref>] [<xref ref-type="bibr" rid="scirp.115607-ref9">9</xref>]. In addition, the solvent (water) model was involved in all calculations [<xref ref-type="bibr" rid="scirp.115607-ref10">10</xref>]. A Fermi smearing of 0.005 Ha and a real space cutoff of 3.7 &#197; was used to improve the computational performance [<xref ref-type="bibr" rid="scirp.115607-ref11">11</xref>]. The convergence criteria of energy, displacement, and gradient were 1 &#215; 10<sup>–5</sup> Ha, 5 &#215; 10<sup>–3</sup> &#197;, and 2 &#215; 10<sup>–3</sup> Ha/&#197;, respectively [<xref ref-type="bibr" rid="scirp.115607-ref12">12</xref>] [<xref ref-type="bibr" rid="scirp.115607-ref13">13</xref>].</p><p>To explain the interactions between their inhibitors and the metal surface, a set of electronic properties such as the energy of the highest occupied molecular orbital (E<sub>HOMO</sub>), the energy of the lowest unoccupied molecular orbital (E<sub>LUMO</sub>), electron affinity (A), ionization potential (I), energy gap(ΔE), global hardness (η) were calculated at the same level of theory. Following Koopmans’ theorem, the electronic parameters were calculated by the following equation [<xref ref-type="bibr" rid="scirp.115607-ref14">14</xref>] [<xref ref-type="bibr" rid="scirp.115607-ref15">15</xref>] [<xref ref-type="bibr" rid="scirp.115607-ref16">16</xref>] [<xref ref-type="bibr" rid="scirp.115607-ref17">17</xref>]:</p><p>I = − E HOMO (1)</p><p>A = − E LUMO (2)</p><p>χ = ( I + A ) / 2 (3)</p><p>η = ( I − A ) / 2 (4)</p><p>Δ E = I − A (5)</p><p>According to these values, the fraction of electrons transferred (ΔN) was computed through the equation:</p><p>Δ N = χ Fe − χ inh 2 ( η Fe + η inh ) = Φ Fe − χ inh 2 η inh (6)</p><p>For the metal surface, the work-function Φ is taken as its electronegativity, whereas the chemical hardness is neglected because η of the bulk metals is related to the inverse of their density of states at the Fermi level, which is an exceedingly small number [<xref ref-type="bibr" rid="scirp.115607-ref18">18</xref>].</p></sec></sec><sec id="s3"><title>3. Results and Discussion</title><sec id="s3_1"><title>3.1. Characterization of BOP, BOPO, and QBO</title><p>Benzoxazole derivatives were characterized by FT–IR, and the results were shown in <xref ref-type="fig" rid="fig2">Figure 2</xref>. The absorption peak of BOP appears at 3421 cm<sup>–1</sup>, which can be attributed to -OH stretching vibration. The absorption band at 1631 cm<sup>–1</sup> is assigned to the C=N bending vibration. The absorption bands at 1282 cm<sup>–1</sup> and 1049 cm<sup>–1</sup> are all assigned to the -C-O-C bending vibration [<xref ref-type="bibr" rid="scirp.115607-ref19">19</xref>]. Compared with the infrared absorption peak of BOP, the C=N absorption peak of BOPO shifts slightly to 1661 cm<sup>–1</sup> due to the presence of pyridyl [<xref ref-type="bibr" rid="scirp.115607-ref20">20</xref>]. The absorption peak of QBO appears at 1585 cm<sup>–1</sup>, 1537 cm<sup>–1</sup>, and 1385 cm<sup>–1</sup>, which can be assigned to the skeleton vibration of the quinoline ring. The absorption band at 1621 cm<sup>–1</sup> and 1279 cm<sup>–1</sup> are assigned to the C=N and -C-O-C bending vibration [<xref ref-type="bibr" rid="scirp.115607-ref21">21</xref>]. The appearance of characteristic peaks of these substances indicates that they may be the target product. Moreover, further characterization is made by some parameters such as <sup>1</sup>H-NMR and melting point, as shown in <xref ref-type="fig" rid="fig3">Figure 3</xref> and <xref ref-type="table" rid="table1">Table 1</xref>. The results show that the synthesized substances are all target products.</p><table-wrap id="table1" ><label><xref ref-type="table" rid="table1">Table 1</xref></label><caption><title> Characterisation data for BOP, BOPO, and QBO</title></caption><table><tbody><thead><tr><th align="center" valign="middle" >Name</th><th align="center" valign="middle" >Mol.formula (mol.wt)</th><th align="center" valign="middle" >Yield (%)</th><th align="center" valign="middle" >M.P. (˚C)</th><th align="center" valign="middle" ><sup>1</sup>HNMR</th></tr></thead><tr><td align="center" valign="middle" >BOP</td><td align="center" valign="middle" >C<sub>13</sub>H<sub>9</sub>NO<sub>2</sub> (211.22)</td><td align="center" valign="middle" >90.1</td><td align="center" valign="middle" >120.0 - 123.4</td><td align="center" valign="middle" >(400 MHz, DMSO-d<sub>6</sub>) δ 8.02 (d, J = 7.9 Hz, 1H), 7.88 - 7.81 (m, 2H), 7.58 - 7.47 (m, 2H), 7.47 - 7.45 (m, 1H), 7.45 - 7.40 (m, 1H), 7.17 - 7.03 (m, 2H).</td></tr><tr><td align="center" valign="middle" >BOPO</td><td align="center" valign="middle" >C<sub>12</sub>H<sub>8</sub>N<sub>2</sub>O<sub>2</sub> (212.20)</td><td align="center" valign="middle" >93.4</td><td align="center" valign="middle" >147.6 - 149.8</td><td align="center" valign="middle" >(400 MHz, DMSO-d<sub>6</sub>) δ 9.54 (d, J = 10.0 Hz, 1H), 8.76 (s, 1H), 8.21- 8.11 (m, 2H), 8.02 (d, J = 8.0 Hz, 1H), 7.92 (s, 2H), 7.57 - 7.52 (m, 1H).</td></tr><tr><td align="center" valign="middle" >QBO</td><td align="center" valign="middle" >C<sub>16</sub>H<sub>10</sub>N<sub>2</sub>O (246.26)</td><td align="center" valign="middle" >92.7</td><td align="center" valign="middle" >190.5 - 193.0</td><td align="center" valign="middle" >(400 MHz, DMSO-d<sub>6</sub>) δ 9.56 - 9.48 (m, 1H), 8.76 (s, 1H), 8.16 (s, 1H), 8.15 (s, 1H), 8.02 (d, J = 8.0 Hz, 1H), 7.92 (d, J = 7.5 Hz, 2H), 7.90 - 7.86 (m, 1H), 7.61 - 7.48 (m, 2H).</td></tr></tbody></table></table-wrap></sec><sec id="s3_2"><title>3.2. Electrochemical Experiments</title><sec id="s3_2_1"><title>3.2.1. Potentiodynamic Polarization (PDP)</title><p>Polarization curves obtained for N80 steel corrosion with and without BOP, BOPO, and QBO are shown in <xref ref-type="fig" rid="fig4">Figure 4</xref>. Electrochemical corrosion parameters, such as corrosion potential (E<sub>corr</sub>), cathodic Tafel slopes (β<sub>c</sub>), and corrosion current (I<sub>corr</sub>), are obtained by extrapolation of the Tafel lines. The detail is given in <xref ref-type="table" rid="table1">Table 1</xref>. Corrosion current density is determined from the intercept of the corrosion potential of extrapolated cathodic and anodic Tafel linear region. The inhibition efficiency (IE) is calculated as follow:</p><p>I E ( % ) = I corr 0 − I corr 1 I corr 0 &#215; 100 (7)</p><p>where I corr 0 and I corr 1 are the values of corrosion current density of uninhibited and inhibited specimens, respectively.</p><p>As seen in <xref ref-type="fig" rid="fig4">Figure 4</xref>, compared with the blank solution, the polarization curves of anode and cathode both move to a lower current direction with the presence of corrosion inhibitors, suggesting that the rate of anodic dissolution and cathodic hydrogen absorption reaction of metal were suppressed. The cathodic polarization curve was linear, suggesting that the cathodic hydrogen absorption reaction is activation-controlled, and the addition of inhibitors does not change the mechanism [<xref ref-type="bibr" rid="scirp.115607-ref22">22</xref>] [<xref ref-type="bibr" rid="scirp.115607-ref23">23</xref>]. Meanwhile, the anodic polarization curve exhibited nonlinear behavior. There is an inflection point in each of the anodic curves, indicating some kinetic barrier effect, maybe the deposition of a corrosion product film and then its removal by intensively evolved hydrogen bubbles [<xref ref-type="bibr" rid="scirp.115607-ref24">24</xref>]. Moreover, the rate of these reactions slows down more distinctly with the increase of corrosion inhibitor concentration. In the presence of all the three inhibitors, corrosion potential exhibits a distinct positive displacement concerning that for the uninhibited sample, though the shift is limited to a small extent of around 30 mV. The three inhibitors are mixed-type and the inhibition of anodic metal dissolution is stronger than cathodic hydrogen evolution.</p><p>As is shown in <xref ref-type="table" rid="table2">Table 2</xref>, the I<sub>corr</sub> values decrease in the order of QBO &gt; BOPO &gt; BOP, and hence IE follows the reverse trend. Further, an increase in inhibition concentration leads to a decrease in I<sub>corr</sub> value. This result is ascribed to the blocking effect at higher concentrations, thereby blocking the electrochemical reactions on the surface of N80 steel [<xref ref-type="bibr" rid="scirp.115607-ref25">25</xref>].</p><table-wrap id="table2" ><label><xref ref-type="table" rid="table2">Table 2</xref></label><caption><title> Fitted polarization curves parameters for N80 steel in 1 M HCl solution with different concentrations of BOP, BOPO, and QBO</title></caption><table><tbody><thead><tr><th align="center" valign="middle"  rowspan="2"  >Inhibitors</th><th align="center" valign="middle" >C<sub>inh</sub><sub> </sub> /M</th><th align="center" valign="middle" >β<sub>c</sub> /(mV&#183;dec<sup>–l</sup>)</th><th align="center" valign="middle" >R /(Ω&#183;cm<sup>2</sup>)</th><th align="center" valign="middle" >I<sub>corr</sub> /(10<sup>–4</sup> A&#183;cm<sup>–2</sup>)</th><th align="center" valign="middle" >E<sub>corr</sub> /V</th><th align="center" valign="middle" >IE /%</th></tr></thead><tr><td align="center" valign="middle" >Blank</td><td align="center" valign="middle" >8.5</td><td align="center" valign="middle" >24.1</td><td align="center" valign="middle" >9.849</td><td align="center" valign="middle" >–0.489</td><td align="center" valign="middle" >—</td></tr><tr><td align="center" valign="middle"  rowspan="4"  >BOP</td><td align="center" valign="middle" >1 &#215; 10<sup>–5</sup></td><td align="center" valign="middle" >7.0</td><td align="center" valign="middle" >36.6</td><td align="center" valign="middle" >6.867</td><td align="center" valign="middle" >–0.469</td><td align="center" valign="middle" >30.28</td></tr><tr><td align="center" valign="middle" >5 &#215; 10<sup>–5</sup></td><td align="center" valign="middle" >8.7</td><td align="center" valign="middle" >41.6</td><td align="center" valign="middle" >5.982</td><td align="center" valign="middle" >–0.471</td><td align="center" valign="middle" >39.26</td></tr><tr><td align="center" valign="middle" >1 &#215; 10<sup>–4</sup></td><td align="center" valign="middle" >9.2</td><td align="center" valign="middle" >51.3</td><td align="center" valign="middle" >4.826</td><td align="center" valign="middle" >–0.463</td><td align="center" valign="middle" >51.00</td></tr><tr><td align="center" valign="middle" >1 &#215; 10<sup>–3</sup></td><td align="center" valign="middle" >5.2</td><td align="center" valign="middle" >60.3</td><td align="center" valign="middle" >3.985</td><td align="center" valign="middle" >–0.457</td><td align="center" valign="middle" >59.54</td></tr><tr><td align="center" valign="middle"  rowspan="4"  >BOPO</td><td align="center" valign="middle" >1 &#215; 10<sup>–5</sup></td><td align="center" valign="middle" >6.4</td><td align="center" valign="middle" >75.3</td><td align="center" valign="middle" >3.127</td><td align="center" valign="middle" >–0.476</td><td align="center" valign="middle" >68.25</td></tr><tr><td align="center" valign="middle" >5 &#215; 10<sup>–5</sup></td><td align="center" valign="middle" >8.5</td><td align="center" valign="middle" >92.7</td><td align="center" valign="middle" >2.857</td><td align="center" valign="middle" >–0.488</td><td align="center" valign="middle" >70.99</td></tr><tr><td align="center" valign="middle" >1 &#215; 10<sup>–4</sup></td><td align="center" valign="middle" >5.8</td><td align="center" valign="middle" >120.5</td><td align="center" valign="middle" >2.142</td><td align="center" valign="middle" >–0.491</td><td align="center" valign="middle" >78.25</td></tr><tr><td align="center" valign="middle" >1 &#215; 10<sup>–3</sup></td><td align="center" valign="middle" >7.2</td><td align="center" valign="middle" >175.9</td><td align="center" valign="middle" >1.730</td><td align="center" valign="middle" >–0.467</td><td align="center" valign="middle" >82.43</td></tr><tr><td align="center" valign="middle"  rowspan="4"  >QBO</td><td align="center" valign="middle" >1 &#215; 10<sup>–5</sup></td><td align="center" valign="middle" >7.7</td><td align="center" valign="middle" >124.5</td><td align="center" valign="middle" >1.928</td><td align="center" valign="middle" >–0.488</td><td align="center" valign="middle" >80.42</td></tr><tr><td align="center" valign="middle" >5 &#215; 10<sup>–5</sup></td><td align="center" valign="middle" >7.2</td><td align="center" valign="middle" >161.8</td><td align="center" valign="middle" >1.752</td><td align="center" valign="middle" >–0.467</td><td align="center" valign="middle" >82.21</td></tr><tr><td align="center" valign="middle" >1 &#215; 10<sup>–4</sup></td><td align="center" valign="middle" >6.5</td><td align="center" valign="middle" >175.4</td><td align="center" valign="middle" >1.639</td><td align="center" valign="middle" >–0.484</td><td align="center" valign="middle" >83.36</td></tr><tr><td align="center" valign="middle" >1 &#215; 10<sup>–3</sup></td><td align="center" valign="middle" >3.2</td><td align="center" valign="middle" >187.3</td><td align="center" valign="middle" >1.555</td><td align="center" valign="middle" >–0.455</td><td align="center" valign="middle" >85.21</td></tr></tbody></table></table-wrap><p>The observed trend manifests that for a particular substitution position, the corrosion inhibition efficiency of the inhibitor containing multiple benzene rings and heteroatoms is better.</p></sec><sec id="s3_2_2"><title>3.2.2. Electrochemical Impendence Spectroscopy</title><p>The Nyquist curves of the three inhibitors with the different concentrations in 1M HCl solution are shown in <xref ref-type="fig" rid="fig5">Figure 5</xref> . Compared to the blank solution, the inhibitors did not alter the shape of the Nyquist curves, which suggests these inhibitors controlled the activity of the corrosion reaction rather than altering the corrosion mechanism [<xref ref-type="bibr" rid="scirp.115607-ref26">26</xref>] [<xref ref-type="bibr" rid="scirp.115607-ref27">27</xref>]. For all the inhibitors, Nyquist curves showed a non–standard semicircle owing to the microscopic roughness of the electrode surface and the adsorption of the inhibitor [<xref ref-type="bibr" rid="scirp.115607-ref28">28</xref>] [<xref ref-type="bibr" rid="scirp.115607-ref29">29</xref>]. Moreover, the diameter of the capacitive loop was seen to increase gradually with concentration. This result suggests that the adsorption degree increases with the concentration of the inhibitors [<xref ref-type="bibr" rid="scirp.115607-ref30">30</xref>].</p><p>In <xref ref-type="fig" rid="fig6">Figure 6</xref>, the inhibitor increased the impedance modulus (log|Z|) compared with blank solution, and the log|Z| of each inhibitor increased with the inhibitor concentration, which confirms that the corrosion of N80 steel was retarded effectively. Furthermore, all phase angles are lower than 90 degrees, which may be ascribed to the frequency dispersion due to the geometrical factors, such as roughness inhomogeneous of electrode surface [<xref ref-type="bibr" rid="scirp.115607-ref31">31</xref>] [<xref ref-type="bibr" rid="scirp.115607-ref32">32</xref>]. The equivalent</p><p>circuit proposed to fit the impedance data are shown in <xref ref-type="fig" rid="fig7">Figure 7</xref>, including a solution resistance (R<sub>s</sub>), the charge transfer resistance (R<sub>ct</sub>), and the constant phase element (CPE). The fitted impedance parameters, such as R<sub>s</sub>, R<sub>ct</sub>, and CPE<sub>dl</sub> are listed in <xref ref-type="table" rid="table3">Table 3</xref>. The constant phase element (CPE) is related to the double layer capacity (C<sub>dl</sub>) and its impedance is as follows:</p><p>Z C P E = Y 0 − 1 ( i w ) − n (8)</p><p>where Y<sub>0</sub>, i, w, and n stand for CPE constant, imaginary root, angular frequency, and the deviation indicator. The variable n is connected to the electrode surface homogeneity. To obtain a direct correlation between R<sub>ct</sub> and C<sub>dl</sub>, the latter has been recalculated using the following equation:</p><p>C dl = Y 0 1 n R ct 1 n − 1 (9)</p><p>The IE of the inhibitors are calculated through the following equation:</p><p>I E ( % ) = R ct − R ct 0 R ct &#215; 100 (10)</p><p>where R<sub>ct</sub> and R ct 0 are the values of charge transfer resistance observed in the presence and absence of inhibitor, respectively. At a specific concentration, the order of the inhibition efficiencies is QBO &gt; BOPO &gt; BOP. The most significant resistance value for QBO suggests that QBO can most effectively block the corrosion medium’s attack. Furthermore, the inhibition efficiency for each inhibitor increases with the increase of concentration and reaches the highest value at 1 mM. As shown in <xref ref-type="table" rid="table2">Table 2</xref>, the addition of inhibitors increased R<sub>ct</sub> value and decreased C<sub>dl</sub> value. These results suggest that the water molecules at the metal/ solution interface are gradually replaced by the adsorbed organic molecules, resulting in a decrease in the local dielectric constant and the thickening of the electric double layer [<xref ref-type="bibr" rid="scirp.115607-ref33">33</xref>] [<xref ref-type="bibr" rid="scirp.115607-ref34">34</xref>] [<xref ref-type="bibr" rid="scirp.115607-ref35">35</xref>].</p></sec></sec><sec id="s3_3"><title>3.3. Effects of KI on Corrosion Inhibiting Properties</title><p>At present, iodide ions have been examined in detail because of their essential role in improving the inhibition performance of organic compounds during the corrosion inhibition process [<xref ref-type="bibr" rid="scirp.115607-ref36">36</xref>]. When the concentration of the three inhibitors was 1 mM, the effect of KI (10 mM) on the inhibition performance in HCl solution was evaluated in this work. As seen in <xref ref-type="fig" rid="fig8">Figure 8</xref>, the Nyquist plots show an incomplete semicircle, indicating that a charge transfer process always controls N80 steel corrosion. Therefore, the addition of KI does not alter the corrosion mechanism of the N80 steel.</p><table-wrap id="table3" ><label><xref ref-type="table" rid="table3">Table 3</xref></label><caption><title> Fitted EIS parameters for N80 steel in 1 M HCl solution with different concentrations of BOP, BOPO, and QBO</title></caption><table><tbody><thead><tr><th align="center" valign="middle"  rowspan="3"  >Inhibitor</th><th align="center" valign="middle"  rowspan="2"  >C<sub>inh</sub><sub> </sub> /M</th><th align="center" valign="middle"  rowspan="2"  >R<sub>s</sub> /(Ω&#183;cm<sup>2</sup>)</th><th align="center" valign="middle"  colspan="2"  >CPE<sub>dl</sub></th><th align="center" valign="middle"  rowspan="2"  >C<sub>dl</sub><sub> </sub> /(μF&#183;cm<sup>–2</sup>)</th><th align="center" valign="middle"  rowspan="2"  >R<sub>ct</sub> /(Ω&#183;cm<sup>–2</sup>)</th><th align="center" valign="middle"  rowspan="2"  >IE /%</th></tr></thead><tr><td align="center" valign="middle" >Y<sub>0</sub> &#215; 10<sup>–5</sup> /(S&#183;s<sup>n</sup>&#183;cm<sup>–2</sup>)</td><td align="center" valign="middle" >n</td></tr><tr><td align="center" valign="middle" >Blank</td><td align="center" valign="middle" >0.902</td><td align="center" valign="middle" >40.122</td><td align="center" valign="middle" >0.807</td><td align="center" valign="middle" >227.93</td><td align="center" valign="middle" >11.23</td><td align="center" valign="middle" >—</td></tr><tr><td align="center" valign="middle"  rowspan="4"  >BOP</td><td align="center" valign="middle" >1 &#215; 10<sup>–5</sup></td><td align="center" valign="middle" >1.666</td><td align="center" valign="middle" >39.890</td><td align="center" valign="middle" >0.856</td><td align="center" valign="middle" >120.21</td><td align="center" valign="middle" >17.66</td><td align="center" valign="middle" >36.41</td></tr><tr><td align="center" valign="middle" >5 &#215; 10<sup>–5</sup></td><td align="center" valign="middle" >1.128</td><td align="center" valign="middle" >32.152</td><td align="center" valign="middle" >0.861</td><td align="center" valign="middle" >91.89</td><td align="center" valign="middle" >20.79</td><td align="center" valign="middle" >45.98</td></tr><tr><td align="center" valign="middle" >1 &#215; 10<sup>–4</sup></td><td align="center" valign="middle" >1.054</td><td align="center" valign="middle" >30.854</td><td align="center" valign="middle" >0.869</td><td align="center" valign="middle" >84.34</td><td align="center" valign="middle" >25.57</td><td align="center" valign="middle" >56.08</td></tr><tr><td align="center" valign="middle" >1 &#215; 10<sup>–3</sup></td><td align="center" valign="middle" >1.594</td><td align="center" valign="middle" >27.075</td><td align="center" valign="middle" >0.876</td><td align="center" valign="middle" >70.06</td><td align="center" valign="middle" >30.50</td><td align="center" valign="middle" >63.18</td></tr><tr><td align="center" valign="middle"  rowspan="4"  >BOPO</td><td align="center" valign="middle" >1 &#215; 10<sup>–5</sup></td><td align="center" valign="middle" >0.916</td><td align="center" valign="middle" >36.391</td><td align="center" valign="middle" >0.872</td><td align="center" valign="middle" >107.11</td><td align="center" valign="middle" >42.94</td><td align="center" valign="middle" >73.85</td></tr><tr><td align="center" valign="middle" >5 &#215; 10<sup>–5</sup></td><td align="center" valign="middle" >1.448</td><td align="center" valign="middle" >31.218</td><td align="center" valign="middle" >0.877</td><td align="center" valign="middle" >88.56</td><td align="center" valign="middle" >54.23</td><td align="center" valign="middle" >79.29</td></tr><tr><td align="center" valign="middle" >1 &#215; 10<sup>–4</sup></td><td align="center" valign="middle" >1.122</td><td align="center" valign="middle" >26.965</td><td align="center" valign="middle" >0.873</td><td align="center" valign="middle" >80.94</td><td align="center" valign="middle" >70.88</td><td align="center" valign="middle" >84.16</td></tr><tr><td align="center" valign="middle" >1 &#215; 10<sup>–3</sup></td><td align="center" valign="middle" >1.121</td><td align="center" valign="middle" >23.426</td><td align="center" valign="middle" >0.854</td><td align="center" valign="middle" >87.46</td><td align="center" valign="middle" >94.76</td><td align="center" valign="middle" >88.15</td></tr><tr><td align="center" valign="middle"  rowspan="4"  >QBO</td><td align="center" valign="middle" >1 &#215; 10<sup>–5</sup></td><td align="center" valign="middle" >0.948</td><td align="center" valign="middle" >28.461</td><td align="center" valign="middle" >0.889</td><td align="center" valign="middle" >75.05</td><td align="center" valign="middle" >82.87</td><td align="center" valign="middle" >86.45</td></tr><tr><td align="center" valign="middle" >5 &#215; 10<sup>–5</sup></td><td align="center" valign="middle" >1.121</td><td align="center" valign="middle" >24.426</td><td align="center" valign="middle" >0.874</td><td align="center" valign="middle" >74.63</td><td align="center" valign="middle" >94.76</td><td align="center" valign="middle" >88.15</td></tr><tr><td align="center" valign="middle" >1 &#215; 10<sup>–4</sup></td><td align="center" valign="middle" >0.879</td><td align="center" valign="middle" >23.686</td><td align="center" valign="middle" >0.876</td><td align="center" valign="middle" >71.69</td><td align="center" valign="middle" >105.50</td><td align="center" valign="middle" >89.36</td></tr><tr><td align="center" valign="middle" >1 &#215; 10<sup>–3</sup></td><td align="center" valign="middle" >0.846</td><td align="center" valign="middle" >17.381</td><td align="center" valign="middle" >0.873</td><td align="center" valign="middle" >53.75</td><td align="center" valign="middle" >134.90</td><td align="center" valign="middle" >91.67</td></tr></tbody></table></table-wrap><p>Moreover, from this graph, we find that the capacitive loop’s diameter, with the presence of both inhibitors and KI, is significantly increased compared to BOP, BOPO, and QBO alone, reflecting the enhanced protective capacity of studied inhibitors in the presence of iodide ions. The electrochemical parameters derived from Nyquist plots are shown in <xref ref-type="table" rid="table4">Table 4</xref>. The R<sub>ct</sub> values increased after adding KI compared with those without KI. Correspondingly, for the combined system (inhibitors + KI), the C<sub>dl</sub> values decrease compared to the system without KI. To investigate the interactive relationship between inhibitors and KI, the synergistic parameter (S) was calculated using the equation suggested by Aramaki and Hackerman [<xref ref-type="bibr" rid="scirp.115607-ref37">37</xref>] [<xref ref-type="bibr" rid="scirp.115607-ref38">38</xref>] [<xref ref-type="bibr" rid="scirp.115607-ref39">39</xref>]:</p><p>S = 1 − ( θ 1 + θ 2 ) + θ 1 θ 2 1 − θ 1 + 2 (11)</p><p>wherein, θ<sub>1</sub> and θ<sub>2</sub> are the surface coverage values calculated with the presence of KI and Inhibitors, respectively. θ<sub>1+2</sub> is the surface coverage values of inhibitor-KI mixtures (KI + Inhibitor). S &gt;1 indicates the synergistic behavior of a selected inhibitor combination, and S &lt; 1 indicates the competitive adsorption of a selected inhibitor combination [<xref ref-type="bibr" rid="scirp.115607-ref40">40</xref>]. From <xref ref-type="table" rid="table4">Table 4</xref>, the S of BOP/KI compound inhibitor is higher than 1, which can be attributed to improved adsorption of BOP, indicating the synergistic effect. However, the S of BOPO/KI and QBO/KI compound inhibitors are less than 1. This result demonstrates that the interaction relationship between inhibitors and KI molecule is competitive adsorption, not synergistic inhibition. To confirm the EIS analyses, the polarization experiment was also conducted. The polarization curves are shown in <xref ref-type="fig" rid="fig9">Figure 9</xref>, while electrochemical corrosion parameters for each system are summarized in <xref ref-type="table" rid="table4">Table 4</xref>. The results show that KI/inhibitor systems had the highest inhibition efficiency value than systems inhibited using inhibitors alone. The results are consistent with those calculated from EIS.</p></sec><sec id="s3_4"><title>3.4. Adsorption Isotherms</title><p>The adsorption of inhibitors on the metal surface can be analyzed using the adsorption isotherm [<xref ref-type="bibr" rid="scirp.115607-ref4">4</xref>]. The degree of surface coverage (θ) at different concentrations (<xref ref-type="table" rid="table3">Table 3</xref>) calculated is as follow:</p><p>θ = I E ( % ) / 100 (12)</p><p>The θ values obtained from EIS measurement were used to fit different adsorption isotherms such as Langmuir, Temkin, and Frumkin (<xref ref-type="fig" rid="fig1">Figure 1</xref>0). It is found that among the previously mentioned adsorption isotherm, Langmuir adsorption isotherm fitted well with regression coefficient (R<sup>2</sup>) close to 1. This result shows that the adsorption of organic molecules on the metal surface is monolayer [<xref ref-type="bibr" rid="scirp.115607-ref41">41</xref>].</p><table-wrap id="table4" ><label><xref ref-type="table" rid="table4">Table 4</xref></label><caption><title> Fitted EIS and Polarization curves parameters for N80 steel in 1 M HCl solution containing KI alone (10 mM) and with 1 mM BOP</title></caption><table><tbody><thead><tr><th align="center" valign="middle"  rowspan="2"  >Inhibitor</th><th align="center" valign="middle" >EIS method</th><th align="center" valign="middle"  colspan="2"  ></th><th align="center" valign="middle" ></th><th align="center" valign="middle"  colspan="2"  ></th><th align="center" valign="middle"  colspan="2"  ></th><th align="center" valign="middle" ></th><th align="center" valign="middle" ></th></tr></thead><tr><td align="center" valign="middle" >R<sub>s</sub> /(Ω&#183;cm<sup>–2</sup>)</td><td align="center" valign="middle"  colspan="2"  >Y<sub>0</sub> &#215; 10<sup>–5</sup> /(S&#183;s<sup>n</sup>&#183;cm<sup>–2</sup>)</td><td align="center" valign="middle" >n</td><td align="center" valign="middle"  colspan="2"  >C<sub>dl</sub><sub> </sub> /(μF&#183;cm<sup>–2</sup>)</td><td align="center" valign="middle"  colspan="2"  >R<sub>ct</sub> /(Ω&#183;cm<sup>–2</sup>)</td><td align="center" valign="middle" >IE /%</td><td align="center" valign="middle" >S</td></tr><tr><td align="center" valign="middle" >Blank</td><td align="center" valign="middle" >0.902</td><td align="center" valign="middle"  colspan="2"  >40.122</td><td align="center" valign="middle" >0.807</td><td align="center" valign="middle"  colspan="2"  >173.00</td><td align="center" valign="middle"  colspan="2"  >11.23</td><td align="center" valign="middle" >—</td><td align="center" valign="middle" >—</td></tr><tr><td align="center" valign="middle" >KI</td><td align="center" valign="middle" >0.993</td><td align="center" valign="middle"  colspan="2"  >30.814</td><td align="center" valign="middle" >0.811</td><td align="center" valign="middle"  colspan="2"  >131.48</td><td align="center" valign="middle"  colspan="2"  >16.41</td><td align="center" valign="middle" >31.57</td><td align="center" valign="middle" >—</td></tr><tr><td align="center" valign="middle" >BOP + KI</td><td align="center" valign="middle" >1.578</td><td align="center" valign="middle"  colspan="2"  >24.757</td><td align="center" valign="middle" >0.879</td><td align="center" valign="middle"  colspan="2"  >66.80</td><td align="center" valign="middle"  colspan="2"  >54.68</td><td align="center" valign="middle" >79.46</td><td align="center" valign="middle" >1.23</td></tr><tr><td align="center" valign="middle" >BOPO + KI</td><td align="center" valign="middle" >0.966</td><td align="center" valign="middle"  colspan="2"  >18.592</td><td align="center" valign="middle" >0.875</td><td align="center" valign="middle"  colspan="2"  >54.42</td><td align="center" valign="middle"  colspan="2"  >99.06</td><td align="center" valign="middle" >88.66</td><td align="center" valign="middle" >0.72</td></tr><tr><td align="center" valign="middle" >QBO + KI</td><td align="center" valign="middle" >0.704</td><td align="center" valign="middle"  colspan="2"  >12.034</td><td align="center" valign="middle" >0.859</td><td align="center" valign="middle"  colspan="2"  >41.26</td><td align="center" valign="middle"  colspan="2"  >151.30</td><td align="center" valign="middle" >92.5 8</td><td align="center" valign="middle" >0.77</td></tr><tr><td align="center" valign="middle"  rowspan="2"  ></td><td align="center" valign="middle" >PDP method</td><td align="center" valign="middle"  colspan="2"  ></td><td align="center" valign="middle" ></td><td align="center" valign="middle"  colspan="2"  ></td><td align="center" valign="middle"  colspan="2"  ></td><td align="center" valign="middle" ></td><td align="center" valign="middle" ></td></tr><tr><td align="center" valign="middle" >β<sub>c</sub> /(mV&#183;dec<sup>–l</sup>)</td><td align="center" valign="middle" >R /(Ω&#183;cm<sup>–2</sup>)</td><td align="center" valign="middle"  colspan="3"  >I<sub>corr</sub> /(10<sup>–4</sup>A&#183;cm<sup>–2</sup>)</td><td align="center" valign="middle"  colspan="2"  >E<sub>corr</sub> /V</td><td align="center" valign="middle"  colspan="2"  >IE /%</td><td align="center" valign="middle" >S</td></tr><tr><td align="center" valign="middle" >Blank</td><td align="center" valign="middle" >8.500</td><td align="center" valign="middle" >24.1</td><td align="center" valign="middle"  colspan="3"  >9.849</td><td align="center" valign="middle"  colspan="2"  >–0.489</td><td align="center" valign="middle"  colspan="2"  >—</td><td align="center" valign="middle" >—</td></tr><tr><td align="center" valign="middle" >KI</td><td align="center" valign="middle" >9.192</td><td align="center" valign="middle" >38.9</td><td align="center" valign="middle"  colspan="3"  >7.248</td><td align="center" valign="middle"  colspan="2"  >–0.495</td><td align="center" valign="middle"  colspan="2"  >26.41</td><td align="center" valign="middle" >—</td></tr><tr><td align="center" valign="middle" >BOP + KI</td><td align="center" valign="middle" >5.855</td><td align="center" valign="middle" >100.4</td><td align="center" valign="middle"  colspan="3"  >2.635</td><td align="center" valign="middle"  colspan="2"  >–0.470</td><td align="center" valign="middle"  colspan="2"  >73.25</td><td align="center" valign="middle" >1.11</td></tr><tr><td align="center" valign="middle" >BOPO + KI</td><td align="center" valign="middle" >6.459</td><td align="center" valign="middle" >182.6</td><td align="center" valign="middle"  colspan="3"  >1.633</td><td align="center" valign="middle"  colspan="2"  >–0.464</td><td align="center" valign="middle"  colspan="2"  >83.42</td><td align="center" valign="middle" >0.78</td></tr><tr><td align="center" valign="middle" >QBO + KI</td><td align="center" valign="middle" >3.061</td><td align="center" valign="middle" >207.4</td><td align="center" valign="middle"  colspan="3"  >1.347</td><td align="center" valign="middle"  colspan="2"  >–0.458</td><td align="center" valign="middle"  colspan="2"  >86.32</td><td align="center" valign="middle" >0.80</td></tr><tr><td align="center" valign="middle" ></td><td align="center" valign="middle" ></td><td align="center" valign="middle" ></td><td align="center" valign="middle" ></td><td align="center" valign="middle" ></td><td align="center" valign="middle" ></td><td align="center" valign="middle" ></td><td align="center" valign="middle" ></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>The Langmuir adsorption isotherm is as follows:</p><p>Langmuir: c θ = 1 K ads + c (13)</p><p>where K<sub>ads</sub> is the adsorption equilibrium constant, and c is the inhibitor concentration. The K<sub>ads</sub> was linked to the energy of adsorption (ΔG<sub>ads</sub>) using the relation [<xref ref-type="bibr" rid="scirp.115607-ref42">42</xref>]:</p><p>Δ G ads = − R T ln ( 55.5 K ads ) (14)</p><p>where R is the gas constant, T is the temperature, and 55.5 is the molar concentration of water in solution. The calculated ΔG<sub>ads</sub> values of the synthesized inhibitor molecules are given in <xref ref-type="table" rid="table5">Table 5</xref>. The obtained negative value of ΔG<sub>ads</sub> indicates that the adsorption of the three inhibitors on N80 steel surfaces is spontaneous. It is well known that the values of ΔG<sub>ads</sub> around –20 kJ&#183;mo1<sup>–1</sup> or lower are consistent with the electrostatic interaction (physisorption). Those of the order of –40 kJ&#183;mol<sup>–1</sup> or higher are associated with chemisorption [<xref ref-type="bibr" rid="scirp.115607-ref43">43</xref>] [<xref ref-type="bibr" rid="scirp.115607-ref44">44</xref>]. The obtained ΔG<sub>ads</sub> values for BOP is –37.21 kJ&#183;mol<sup>–1</sup>, reflecting the mixed types of adsorption (both physisorption and chemisorption) taking place on the metallic surfaces. Moreover, chemisorption is predominating over physisorption. The obtained ΔG<sub>ads</sub> values for BOPO and QBO are –40.96 kJ&#183;mol<sup>–1</sup> and –43.24 kJ&#183;mol<sup>–1</sup>, respectively, reflecting the chemisorption taking place on the metallic surfaces.</p></sec><sec id="s3_5"><title>3.5. Surface Analyses</title><sec id="s3_5_1"><title>3.5.1. FT-IR Analysis</title><p>FT-IR spectra further analyzed the adsorption mechanism of the three inhibitors on the N80 steel surface, and the result is shown in <xref ref-type="fig" rid="fig1">Figure 1</xref>1. In blank solution, the broad peak at 3424 cm<sup>–1</sup> signified the -OH stretching vibration due to the formation of FeOOH [<xref ref-type="bibr" rid="scirp.115607-ref45">45</xref>] [<xref ref-type="bibr" rid="scirp.115607-ref46">46</xref>]. The water bending bands are observed at 1629 cm<sup>–1</sup>, assigned to the OH vibrations [<xref ref-type="bibr" rid="scirp.115607-ref47">47</xref>]. The absorption bands at 1058 cm<sup>–1</sup> are assigned to the surface’s -OH bending vibration [<xref ref-type="bibr" rid="scirp.115607-ref48">48</xref>]. With the addition of BOP, BOPO, and QBO, the absorption peak of 3424 cm<sup>–1</sup> gradually becomes weaker, indicates that the addition of inhibitors inhibits the process of Fe to FeOOH. With the addition of the inhibitors, the absorption peak of 1058 cm<sup>–1</sup> gradually becomes weaker with some deviation. Since the characteristic peak C=N of the corrosion inhibitor is similar to the absorption peak at 1629 cm<sup>–1</sup>, it is impossible to determine the functional group corresponding to the absorption peak here. In contrast with <xref ref-type="fig" rid="fig1">Figure 1</xref>, some absorption peaks present in pure compound appear in the adsorption layer on the N80 steel surface, which means that most of the functional groups of the three inhibitors are present in the adsorbed surface film. Moreover, some of the peaks for the pure compound have diminished or even vanished, suggests that these functional groups are directly involved in inhibitors inhibition, thus confirming the proposed adsorption of the inhibitors on the N80 steel [<xref ref-type="bibr" rid="scirp.115607-ref49">49</xref>] [<xref ref-type="bibr" rid="scirp.115607-ref50">50</xref>].</p><table-wrap id="table5" ><label><xref ref-type="table" rid="table5">Table 5</xref></label><caption><title> Adsorption equilibrium constants (K<sub>ads</sub>) and ΔG<sub>ads</sub> of compounds BOP, BOPO, and QBO on N80 steel in 1 M HCl solution</title></caption><table><tbody><thead><tr><th align="center" valign="middle" >Inhibitors</th><th align="center" valign="middle" >R<sup>2</sup></th><th align="center" valign="middle" >Slope</th><th align="center" valign="middle" >K<sub>ads</sub></th><th align="center" valign="middle" >Δ G ads 0 (kJ/mol)</th></tr></thead><tr><td align="center" valign="middle" >BOP</td><td align="center" valign="middle" >0.99984</td><td align="center" valign="middle" >1.56182</td><td align="center" valign="middle" >46,728.97</td><td align="center" valign="middle" >−37.21</td></tr><tr><td align="center" valign="middle" >BOPO</td><td align="center" valign="middle" >0.99998</td><td align="center" valign="middle" >1.12976</td><td align="center" valign="middle" >207,039.34</td><td align="center" valign="middle" >−40.96</td></tr><tr><td align="center" valign="middle" >QBO</td><td align="center" valign="middle" >0.99999</td><td align="center" valign="middle" >1.08903</td><td align="center" valign="middle" >512,820.51</td><td align="center" valign="middle" >−43.24</td></tr></tbody></table></table-wrap></sec><sec id="s3_5_2"><title>3.5.2. FE-SEM Analysis</title><p>FE-SEM was used to observe the protective effect of an inhibitor directly. The surface morphologies of the N80 steel surface after being immersed in 1 M HCl solution in the presence and absence of 1 mM inhibitors (BOP, BOPO, and QBO) are shown in <xref ref-type="fig" rid="fig1">Figure 1</xref>2. The surface of N80 steel has been severely corroded in the absence of inhibitors. The traces left by sandpaper grinding have been corroded, pits of varying depths appear, and many corrosion products adhere to the surface of the steel sheet. Compared with the blank solution, in the presence of corrosion inhibitors BOP and BOPO, the corrosion on the surface of N80 steel is not so severe, but the surface is still uneven, and at the same time, the surface of the steel sheet still adheres to corrosion products. These results indicate that the protective film formed by these two corrosion inhibitors on the surface of N80 steel is not stable and dense, and the corrosive medium can still contact the surface of N80 steel, resulting in surface corrosion. Among BOP and BOPO, the presence of the latter as corrosion inhibitor shows more robust protective performance. In the presence of corrosion inhibitor QBO, the surface of N80 steel is smooth, and the polishing traces can be observed, indicating that corrosion inhibitor forms a dense protective film on the surface of N80 steel, which effectively protects N80 steel. In conclusion, the protective effects of inhibitors increase in the order of BOP &lt; BOPO &lt; QBO.</p></sec><sec id="s3_5_3"><title>3.5.3. XRD Analysis</title><p><xref ref-type="fig" rid="fig1">Figure 1</xref>3 presents the XRD patterns of the studied N80 steel immersed in 1M HCl solution in the absence and presence of the studied inhibitors BOP, BOPO, and QBO. Each XRD pattern shows three peaks at 44.64˚, 65.02˚, and 82.29˚, corresponding to the characteristic signals of Fe, FeOOH, and Fe<sub>3</sub>O<sub>4</sub>, respectively [<xref ref-type="bibr" rid="scirp.115607-ref50">50</xref>]. This result suggests corrosion inhibition occurred when N80 steel was immersed in 1M HCl solution in the presence and the absence of BOP, BOPO, and QBO [<xref ref-type="bibr" rid="scirp.115607-ref51">51</xref>]. At the peak of 82.29˚, the weakening of the peak intensity indicates that the protective film formed by the corrosion inhibitor adsorbed on the surface of the N80 steel inhibits the oxidation process of Fe to Fe<sub>3</sub>O<sub>4</sub>. In addition, the lower peak intensity of QBO at 82.29˚ explains better inhibition performance of QBO than that of BOP and BOPO.</p></sec></sec><sec id="s3_6"><title>3.6. Quantum Chemical Calculations</title><p>The experimental results show that three corrosion inhibitors can be adsorbed on the surface of steel and play the important role of anti-corrosion. In this work, quantum chemical calculations were used to study further the relationship between the molecular structure and corrosion inhibition performance [<xref ref-type="bibr" rid="scirp.115607-ref52">52</xref>] [<xref ref-type="bibr" rid="scirp.115607-ref53">53</xref>]. <xref ref-type="fig" rid="fig1">Figure 1</xref>4. shown the frontiers orbitals of BOP, BOPO, and QBO in their optimized form. The HOMO and LUMO of BOP and BOPO are delocalized on the whole molecule, proving that the whole molecular plane is the active center of the reaction. However, the LUMO of QBO is mainly delocalized on the quinoline ring, indicating a preference for accepting electrons. The quantum chemical parameters for all inhibitors are listed in <xref ref-type="table" rid="table6">Table 6</xref>. E<sub>HOMO</sub> is related to the electron donation capability of the respective molecule. The higher the E<sub>HOMO</sub> value, the stronger the inhibitor’s electron-donating capability and the better inhibition efficiency. E<sub>LUMO</sub> indicates concerned molecules’ ability to accept electrons from the metallic surface. Therefore lower the E<sub>LUMO</sub> value, the better will be its inhibition efficience [<xref ref-type="bibr" rid="scirp.115607-ref54">54</xref>]. The ΔE is an essential parameter as a function of reactivity of the inhibitor molecule towards the adsorption on the metallic surface. As ΔE decreases, the molecule’s reactivity increases, leading to an increase in the strength of adsorption and hence in the inhibition efficiency [<xref ref-type="bibr" rid="scirp.115607-ref9">9</xref>]. Moreover, the values of E<sub>LUMO</sub> of the three inhibitions show a decrease in the order of BOP &gt; BOPO &gt; QBO, and ΔE shows a decrease in the order of BOP &gt; BOPO &gt; QBO, suggesting the most substantial ability of QBO to form coordinate bonds with d-orbitals of metal through donating and accepting electrons, which is in good agreement with the experimental results. These results predict that corrosion inhibitors for quinoline substituents should be chemisorbed more effectively and have a better performance than pyridine and benzene substituents. On the other hand, electronegativity (χ) represents the electron attracting capability of the molecule. The higher the electronegativity, the stronger is the attracting power to accept an electron from the metallic surface [<xref ref-type="bibr" rid="scirp.115607-ref15">15</xref>]. Therefore, those inhibitor molecules with higher electronegativity would have strong interaction with the metal surface, and higher inhibition efficiency is observed. From <xref ref-type="table" rid="table6">Table 6</xref>, it is observed that the electronegativity of the three inhibitor molecules follows the trend BOP &gt; BOPO &gt; QBO. Therefore, it is confirmed that corrosion inhibitor for quinoline substituents has the highest ability to accept electrons among the three inhibitor molecules, and these results are in good agreement with the E<sub>LUMO</sub> trend. Generally, ΔN is a measure of the electron transfer between molecule and metal. If ΔN &lt; 3.6, the inhibition efficiency increases with electrons donation to the metal surface [<xref ref-type="bibr" rid="scirp.115607-ref55">55</xref>]. The calculated ΔN values for the three inhibitions are less than 3.6. Moreover, ΔN gradually increases in the order: BOP &lt; BOPO &lt; QBO. Thus, the extent of bond formation between the inhibitor molecule and the metal surface also follows the same trend, which ultimately dictates the corrosion inhibition potentiality.</p><p>In a word, the result obtained through quantum chemical calculation agrees</p><table-wrap id="table6" ><label><xref ref-type="table" rid="table6">Table 6</xref></label><caption><title> Quantum chemical parameters were calculated using the B3LYP method with a DNP basis set for BOP, BOPO, and QBO molecules</title></caption><table><tbody><thead><tr><th align="center" valign="middle" >Inhibitors</th><th align="center" valign="middle" >E<sub>HOMO </sub> /eV</th><th align="center" valign="middle" >E<sub>LUMO </sub> /eV</th><th align="center" valign="middle" >E /ev</th><th align="center" valign="middle" >χ /eV</th><th align="center" valign="middle" >η eV</th><th align="center" valign="middle" >N</th></tr></thead><tr><td align="center" valign="middle" >BOP</td><td align="center" valign="middle" >–6.33</td><td align="center" valign="middle" >–1.87</td><td align="center" valign="middle" >4.46</td><td align="center" valign="middle" >4.10</td><td align="center" valign="middle" >2.23</td><td align="center" valign="middle" >3.23</td></tr><tr><td align="center" valign="middle" >BOPO</td><td align="center" valign="middle" >–6.52</td><td align="center" valign="middle" >–2.16</td><td align="center" valign="middle" >4.37</td><td align="center" valign="middle" >4.34</td><td align="center" valign="middle" >2.18</td><td align="center" valign="middle" >2.90</td></tr><tr><td align="center" valign="middle" >QBO</td><td align="center" valign="middle" >–6.51</td><td align="center" valign="middle" >–2.40</td><td align="center" valign="middle" >4.11</td><td align="center" valign="middle" >4.46</td><td align="center" valign="middle" >2.05</td><td align="center" valign="middle" >2.61</td></tr></tbody></table></table-wrap><p>with the experimental results. The inhibition efficiency of three corrosion inhibitors gradually increases in the order: BOP &lt; BOPO &lt; QBO. That is to say, when the same benzoxazole unit is contained, the nature of the substituent determines the corrosion inhibition efficiency. Inhibition efficiency follows the order: benzene &lt; pyridine &lt; quinoline.</p></sec></sec><sec id="s4"><title>4. Conclusions</title><p>1) The FT-IR and <sup>1</sup>HNMR results demonstrate that the three target compounds had been synthesized successfully.</p><p>2) The inhibition efficiency of benzoxazole derivates in a 1 M HCl solution at 303 K was evaluated by electrochemical experiments, including electrochemical impendence spectroscopy and potentiodynamic polarization. The data of the electrochemical experiments indicate that the inhibition efficiency increases with increasing inhibitor concentration.</p><p>3) The effect of KI on inhibition efficiency is as follows: BOP and KI are synergistic, BOPO and QBO are competitive adsorptions with KI.</p><p>4) Surface analyses including FT-IR, FE-SEM, and XRD confirmed the protective effect of these inhibitors.</p><p>5) Quantum chemical parameters, including the front orbital distribution and the global and local reactivity parameters, such as E<sub>HOMO</sub>, E<sub>LUMO</sub>, energy gap (ΔE), global hardness (η), and electrons transferred (ΔN), demonstrate the inhibition efficiencies obtained from experimental results.</p></sec><sec id="s5"><title>Acknowledgements</title><p>This work is supported by State Key Laboratory of Separation Membranes and Membrane Processes (Tiangong University, No. M202109), and the National Natural Science Foundation of China (grant no. 21403017, 21873075).</p></sec><sec id="s6"><title>Conflicts of Interest</title><p>The authors declare no conflicts of interest regarding the publication of this paper.</p></sec><sec id="s7"><title>Cite this paper</title><p>Yang, D.Q., Feng, X.J., Yan, N., Wang, Y.Q., Lu, L.L., Mei, P., Chen, W. and Lai, L. (2022) Corrosion Inhibition Studies of Benzoxazole Derivates for N80 Steel in 1 M HCl Solution: Synthesis, Experimental, and DTF Studies. Open Journal of Yangtze Gas and Oil, 7, 101-123. https://doi.org/10.4236/ojogas.2022.72007</p></sec></body><back><ref-list><title>References</title><ref id="scirp.115607-ref1"><label>1</label><mixed-citation publication-type="other" xlink:type="simple">National Research Council (2009) Assessment of Corrosion Education. National Academies Press, Washington DC.</mixed-citation></ref><ref id="scirp.115607-ref2"><label>2</label><mixed-citation publication-type="other" xlink:type="simple">Su, H., Wang, L., Wu, Y., Zhang, Y. and Zhang, J. (2020) Insight into Inhibition Behavior of Novel Ionic Liquids for Magnesium Alloy in NaCl Solution: Experimental and Theoretical Investigation. 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