<?xml version="1.0" encoding="ISO-8859-1"?><article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">
<front>
<journal-meta>
<journal-id>0872-1904</journal-id>
<journal-title><![CDATA[Portugaliae Electrochimica Acta]]></journal-title>
<abbrev-journal-title><![CDATA[Port. Electrochim. Acta]]></abbrev-journal-title>
<issn>0872-1904</issn>
<publisher>
<publisher-name><![CDATA[Sociedade Portuguesa de Electroquímica]]></publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id>S0872-19042018000600004</article-id>
<article-id pub-id-type="doi">10.4152/pea.201806423</article-id>
<title-group>
<article-title xml:lang="en"><![CDATA[Evaluation of the Electrochemical Impedance Measurement of Mild Steel Corrosion in an Acidic Medium, in the Presence of Quaternary Ammonium Bromides]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Popova]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
<xref ref-type="aff" rid="A01"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Vasilev]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
<xref ref-type="aff" rid="A02"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Deligeorgiev]]></surname>
<given-names><![CDATA[T.]]></given-names>
</name>
<xref ref-type="aff" rid="A02"/>
</contrib>
</contrib-group>
<aff id="A01">
<institution><![CDATA[,University of Chemical Technology and Metallurgy Department of Physical Chemistry ]]></institution>
<addr-line><![CDATA[Sofia ]]></addr-line>
<country>Bulgaria</country>
</aff>
<aff id="A02">
<institution><![CDATA[,University of Sofia Faculty of Chemistry ]]></institution>
<addr-line><![CDATA[Sofia ]]></addr-line>
<country>Bulgaria</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>11</month>
<year>2018</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>11</month>
<year>2018</year>
</pub-date>
<volume>36</volume>
<numero>6</numero>
<fpage>423</fpage>
<lpage>435</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://scielo.pt/scielo.php?script=sci_arttext&amp;pid=S0872-19042018000600004&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://scielo.pt/scielo.php?script=sci_abstract&amp;pid=S0872-19042018000600004&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://scielo.pt/scielo.php?script=sci_pdf&amp;pid=S0872-19042018000600004&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="en"><p><![CDATA[Three quaternary ammonium bromides were investigated as mild steel corrosion inhibitors in 1 M HCl. Two investigation methods were applied: electrochemical impedance spectroscopy (EIS) and polarization resistance (Rp method). The experimental impedance data showed capacitance frequency distribution, which imposed the introduction of a constant phase element, instead of a pure capacitance. Adequate structural models were advanced, to describe the interfacial processes. The models parameters values were determined. The resistance values found by impedance spectroscopy were compared to those of the polarization resistance provided by the Rp method. The inhibition efficiency of the investigated compounds was evaluated by both applied methods. The comparison of the investigated compounds' protective properties outlined the best among them.]]></p></abstract>
<kwd-group>
<kwd lng="en"><![CDATA[Smart polymers]]></kwd>
<kwd lng="en"><![CDATA[pristine polypyrrole]]></kwd>
<kwd lng="en"><![CDATA[SILAR]]></kwd>
<kwd lng="en"><![CDATA[tailor made polymers and supercapacitor]]></kwd>
</kwd-group>
</article-meta>
</front><body><![CDATA[   <!--     <p>&nbsp;</p>     <p>doi: 10.4152/pea.201806423</p> -->      <p><b>Evaluation of the Electrochemical Impedance Measurement  of Mild Steel Corrosion in an Acidic Medium, in the  Presence of Quaternary Ammonium Bromides</b></p>      <p> <b>A. Popova</b><sup><i>a</i>,<a href="#0">*</a></sup>,<b>A. Vasilev</b><sup><i>b</i></sup> and <b>T. Deligeorgiev</b><sup><i>b</i></sup> </p>      <p><sup><i>a</i></sup><i> Department of Physical Chemistry, University of Chemical Technology and Metallurgy,  8 K. Ohridski Blvd., 1756 Sofia, Bulgaria</i></p>      <p><sup><i>b</i></sup><i> Faculty of Chemistry, University of Sofia, 1 J. Baucher Ave, 1126 Sofia, Bulgaria</i></p>        <p>&nbsp;</p>     <p><b>Abstract</b></p>      <p>Three quaternary ammonium bromides were investigated as mild steel corrosion  inhibitors in 1 M HCl. Two investigation methods were applied: electrochemical  impedance spectroscopy (EIS) and polarization resistance (Rp method). The  experimental impedance data showed capacitance frequency distribution, which  imposed the introduction of a constant phase element, instead of a pure capacitance.  Adequate structural models were advanced, to describe the interfacial processes. The  models parameters values were determined. The resistance values found by impedance  spectroscopy were compared to those of the polarization resistance provided by the Rp  method. The inhibition efficiency of the investigated compounds was evaluated by both  applied methods. The comparison of the investigated compounds’ protective properties  outlined the best among them.</p>       ]]></body>
<body><![CDATA[<p><b><i>Keywords:</i></b> Smart polymers, pristine polypyrrole, SILAR, tailor made polymers and  supercapacitor.</p>         <p>&nbsp;</p>     <p><b>Introduction</b></p>       <p>The industrial practice often uses acidic aqueous media, but the increased  corrosion there observed requires the application of specific protection methods,  in view of the particular conditions. Corrosion inhibiting protection is one of the  methods applied to decrease corrosion losses. Organic compounds are often used  as inhibitors [1-3] in acidic media, but their wide application requires designing  additional substances with effective protective properties. This process is based  on the correlation between the molecular structure of the organic compounds and  their inhibiting properties [4-17]. The substances of the quaternary ammonium  salts group [18-21] show good inhibitive properties in acidic media. This  determined our interest towards these compounds [22-24].</p>       <p>The practice requires reliable data on the inhibiting effect of the studied  compounds obtained by different investigation methods, which in turn provide a  correct comparison of the inhibitors. The electrochemical impedance  spectroscopy method has been finding increased application [25-49]. It provides  information on the interfacial processes which model them as equivalent electric  circuits.</p>       <p>The present investigation is aimed at the study of the inhibiting properties of  three quaternary ammonium bromides, in the case of mild steel corrosion in 1 M  HCl <a href="#t1">(Table 1)</a>.</p>       <p>&nbsp;</p> <a name="t1"> <img src="/img/revistas/pea/v36n6/36n6a04t1.jpg">     
<p>&nbsp;</p>       <p>The compounds were synthesized to correspond to the above  pointed aim, and have so far not been studied. Two electrochemical methods  were applied – the alternating current electrochemical impedance spectroscopy  method, and the direct current of polarization resistance method (Rp method).</p>        <p>&nbsp;</p>     ]]></body>
<body><![CDATA[<p><b>Experimental</b></p>       <p>The mild steel used in the present investigation had the following chemical  composition (wt %): 0.16 C, 0.35Mn , 0.01 P, 0.016 Si, 0.029 S, 0.06 Cr, 0.10  Cu, and Fe to reach a balance. All investigated compounds were synthesized  accordingly to the study aim. They were purified by re-crystallization from  ethanol to analytically purity grade [51]. A 1 M HCl solution was prepared using  37% HCl (pure for analysis) and distilled water. The experiments were carried  out using a conventional three-electrode electrochemical cell.</p>      <p>The working steel electrodes (WE) had cylinders pressed into Teflon holders  with an exposed area of 0.5 cm2. A saturated calomel electrode (SCE) connected  through a salt bridge was used as reference electrode, while a large area platinum  leaf served as counter electrode. Before each experiment, the WE was wet  abraded with 600 grade emery paper, rinsed with distilled water and an ethanolether  mixture, and afterwards immediately inserted into a glass cell containing  250 mL of the electrolyte solution.</p>      <p>The impedance measurements began 2 hours after immersing the WE into the  static solution [36]. The temperature was maintained at 22±1 ºC. EG&G  instruments electronic equipment was used. It included a PAR Model 273  Potentiostat and a 5208 two phase lock-in analyzer connected to an IBM personal  computer via GPIB-II interface. Two programmes, M378 and PARCalc M342,  were used to collect and evaluate the experimental data.</p>      <p>The response of the electrochemical system to an ac excitation, with a frequency  ranging from 95 kHz to 0.1 Hz and peak to peak ac amplitude of 5 mV, was  followed. The lock-in amplifier technique with 5 points per decade was used for  frequencies varying from 5 Hz to 95 kHz. Measurements below 10 Hz were  carried out using the fast Fourier transformation (FFT) technique with 8 data  cycles. All EIS spectra were recorded at the open-circuit potential (OCP), i.e., at  the corrosion potential (Ecorr). One spectrum was usually recorded within 8 min.  Various equivalent circuit models were fitted to the impedance data, using a nonlinear  least square fit procedure.</p>      <p>The polarization resistance (Rp) measurements were immediately performed after  the impedance spectra recording, using the same electrode, without any  additional surface treatment. The applied polarization referred to about ± 10 mV  vs. Ecorr, at a scan rate of 0.1 mV s-1. Five independent experiments were carried  out for each inhibitor concentration. The mean values and the standard deviations  were obtained.</p>        <p>&nbsp;</p>     <p><b>Results and discussion</b></p>       <p>The impedance spectra (IS) were recorded in the presence of the three  investigated compounds (<a href="#t1">Table 1</a>), varying their concentration. The upper limit  of the concentration range was ruled by the compound solubility, as further  increases in concentration (ci) did not result in any essential variation of the  corresponding inhibiting effect.</p>      <p>A change in the IS shape was observed, depending on the type of the investigated  compound and on its concentration. The impedance spectrum presented in the  complex plane (or the so called Nyquist plot) contains a single semicircle (<a href="#f1">Fig. 1a</a>) in the presence of low SS (10-6 M – 10-4 M) and SO (10-6 M – 10-5 M)  concentrations.</p>       ]]></body>
<body><![CDATA[<p>&nbsp;</p> <a name="f1"> <img src="/img/revistas/pea/v36n6/36n6a04f1.jpg">     
<p>&nbsp;</p>       <p>The same was valid for the whole studied MTB concentration  interval. The Bode plot shows the corresponding symmetric change in the phase  angle (f), as a function of the frequency (f) in Hz <a href="#f1">(Fig. 1b)</a>.</p>      <p>This type of impedance spectrum corresponds to a Z transfer function (.), which  is presented by a resistance (R1) connected in parallel to a capacitor (C). An  additional resistance (R2) was consequently connected to them, i.e:</p>      <p>&nbsp;</p> <a name="e1"> <img src="/img/revistas/pea/v36n6/36n6a04e1.jpg">     
<p>&nbsp;</p>      <p>where i = -1 , while . is the angular frequency in rad. Such a transfer function  is used to describe the impedance behavior of homogeneous systems  characterized by a single time constant (t).</p>      <p>It is worth noting that the center of the capacitance semicircle lies under the  abscissa <a href="#f1">(Fig. 1a)</a>. This depression is described by a frequency distributed  parameter such as CPE (constant phase element), which substitutes the pure  capacitance (C). The impedance of such an element is described [26, 27, 38, 50]  by:</p>      <p>&nbsp;</p> <a name="e2"> <img src="/img/revistas/pea/v36n6/36n6a04e2.jpg">     
<p>&nbsp;</p>      ]]></body>
<body><![CDATA[<p>where A is a coefficient of proportionality, while n stands for a phase shift.</p>      <p>Different physical phenomena with a frequency dispersion behavior can be  described by CPE. The observed capacitance semicircle depression is an  expression of the surface inhomogeneity, which is due to surface roughness,  contaminations, active centers distribution, formation of porous layers, inhibitors  adsorption, etc. [26, 27, 39-40]. The phase shift (n) can be used as a measure of  the surface inhomogeneity [25].</p>      <p>The quantitative analysis of the impedance data is based on a physical model of  an electrochemical corrosion process with hydrogen depolarization and  activation control. The proceeding of the electrochemical reaction is presented by  the charge transfer resistance through the metal/electrolyte interface (Rct); it  corresponds to R1 in <a href="#e1">Eq.1</a>. The sum of the solution resistances and metal  conductors is presented by the ohmic resistance (RO), which corresponds to R2.  The double electric layer capacitance arising at the interface is represented by  CPE, which is a distributed structural element. The following structural model  with a single time constant (<a href="#f2">Fig. 2</a>) is advanced for the processes at the  metal/electrolyte interface, in the presence of small SS and SO concentrations, as  well as for the whole MTB concentration range.</p>      <p>&nbsp;</p> <a name="f2"> <img src="/img/revistas/pea/v36n6/36n6a04f2.jpg">     
<p>&nbsp;</p>      <p>The calculated values of the model parameters are summarized in <a href="#t2">Tables 2</a> to <a href="#t4">4</a>.</p>       <p>&nbsp;</p> <a name="t2"> <img src="/img/revistas/pea/v36n6/36n6a04t2.jpg">     
<p>&nbsp;</p> <a name="t3"> <img src="/img/revistas/pea/v36n6/36n6a04t3.jpg">     
<p>&nbsp;</p> <a name="t4"> <img src="/img/revistas/pea/v36n6/36n6a04t4.jpg">     
<p>&nbsp;</p>       ]]></body>
<body><![CDATA[<p><a href="#f1">Fig. 1</a> illustrates the fit of the model parameters to the experimental data. The  CPE data (A and n) values provide the capacitance (C) determination [41]:</p>      <p>&nbsp;</p> <a name="e3"> <img src="/img/revistas/pea/v36n6/36n6a04e3.jpg">     
<p>&nbsp;</p>      <p>The relaxation time (t) of the surface state, i.e. the time required for the charge  distribution to return to its equilibrium state (in this case, to its stationary state),  following an electric disturbance, is calculated by:</p>      <p>&nbsp;</p> <a name="e4"> <img src="/img/revistas/pea/v36n6/36n6a04e4.jpg">     
<p>&nbsp;</p>      <p>where C is the capacitance, while R is the resistance accompanying the  capacitance. The above pointed tables also show the polarization resistance  values, ( DC p R ), obtained by the applied direct current polarization (Rp) method.</p>      <p>The simple equivalent scheme with a single time constant (<a href="#f2">Fig. 2</a>) describes the  impedance spectra for the whole concentration range in MTB presence. The  following changes in the obtained electrochemical parameters were observed  with an increase in concentration: (i) Rct value increased, which indicates an  improvement in protective properties; (ii) the double layer capacitance value, Cd,  (Fcm-2) decreased, which is often observed, in the case of organic molecules  adsorption onto the metal surface; (iii) nd value also showed a decrease tendency  attributed to the increase in the surface inhomogeneity, which, in turn, results  from the inhibitor adsorption; (iv) the time of the system relaxation (t) slightly  increased, most probably due to the increase in the adsorbed species amount.</p>      <p>Analogous dependences are found with SS and OS low concentrations. This case  is described by the structural model presented in <a href="#f2">Fig. 2</a>. The same equivalent  circuit is also valid for 1 M HCl, in the inhibitor absence [24, 27, 36].</p>      <p>The further increase in SS and SO concentrations leads to the identification of a  second time constant in the impedance spectra (ta), connected to the adsorption  process. The latter is present, even at lower concentration values in view of Rct  value, but ta is a small term, and it is hard to discern from the double layer  relaxation time constant (td). That is why a single time constant is observed in the  impedance spectra. The ta value increases with higher concentrations, leading to  its separation. This is expressed through the appearance of a second depressed  capacitive semicircle at a lower frequency in the complex plane plot.</p>      ]]></body>
<body><![CDATA[<p>A characteristic change in the phase angle (j ), and the slope of the dependence  of the impedance module log|Z|, as a function of the frequency, are outlined in  the Bode plot (<a href="#f3">Figs. 3</a> and <a href="#f4">4</a>).</p>      <p>&nbsp;</p> <a name="f3"> <img src="/img/revistas/pea/v36n6/36n6a04f3.jpg">     
<p>&nbsp;</p> <a name="f4"> <img src="/img/revistas/pea/v36n6/36n6a04f4.jpg">      
<p>It is evident that the impedance spectra can not be described by the structural  model of <a href="#f2">Fig. 2</a>. A new structural model which includes the adsorption process is  advanced (<a href="#f5">Fig. 5</a>).</p>      <p>&nbsp;</p> <a name="f5"> <img src="/img/revistas/pea/v36n6/36n6a04f5.jpg">     
<p>&nbsp;</p>      <p>An additional element was included, while the combination of the adsorption  resistance (Ra) and the capacitance was connected in parallel. The depression of  the adsorption semicircle required its simulation by CPEa, as well.</p>      <p>The correlation between the parameters values, determined on the ground of the  transfer function presented in <a href="#f5">Fig. 5</a>, and the experimental data are illustrated in  <a href="#f3">Figs. 3</a> and <a href="#f4">4</a>. <a href="#t3">Tables 3</a> and <a href="#t4">4</a> list the values of the model structural elements.</p>      <p>The following dependences are observed with the increase in SS and OS  concentrations, in the range of relatively high concentrations, where the second  equivalent scheme of <a href="#f5">Fig. 5</a> is valid: (i) Ra and Rct increased, although the effect  of the latter was smaller in SS case – this indicates an increased inhibiting effect;  (ii) Ca and Cd decreased; (iii) nd value did not change, while that of na decreased,  which can be attributed to the great energy dissipation in the adsorption layer;  (iv) td had a low value, which insignificantly changed, while ta had an  essentially greater value, showing an increase tendency. The relaxation time of  the adsorption layer in OS presence was greater than ta in SS presence (OS was  the best inhibitor among those investigated).</p>       <p>The total resistances are compared to Rp DC values determined by the Rp method.  Rct value was close to that of Rp DC, when the metal/1 M HCl interface + inhibitor  was described by the structural model with a single time constant (<a href="#f2">Fig. 2</a>). Rct +  Ra and DC p R values were compared when the equivalent scheme with two time  constants was used. A very good agreement was found. RO value was very low,  and this is why it was neglected. The inhibiting efficiency, IE (%), was estimated  from DC p R value by:</p>      ]]></body>
<body><![CDATA[<p>&nbsp;</p> <a name="e4"> <img src="/img/revistas/pea/v36n6/36n6a04e4.jpg">     
<p>&nbsp;</p>      <p> where , DCp i R is the polarization resistance in the inhibitor’s presence, while ,0  DC p R is that in the inhibitor’s absence.</p>       <p>The IE (%) values were also determined using the impedance data (Rct or Rct +  Ra). The values obtained by both methods are presented in <a href="#f6">Fig. 6</a>, as a function of  the inhibitor’s concentration. An increase in the inhibiting effect was observed  with higher concentrations. This tendency is better expressed at lower  concentrations. It is evident that OS has the best protective properties at all  studied concentrations. It is followed by SS. MTB has significantly poorer  protective properties, when compared to those of OS and SS. It is clear that this  is due to the difference in the molecular structure of the investigated bromides.</p>      <p>&nbsp;</p> <a name="f6"> <img src="/img/revistas/pea/v36n6/36n6a04f6.jpg">     
<p>&nbsp;</p>      <p>The three compounds are quaternary ammonium bromides which dissociate in  the investigated medium, to give ammonium cations and bromide anions (Br -).  We assume an essential Br - contribution to the total protective effect, due to its  specific adsorption onto the metal surface, which favors the attraction of cations  from the solution (1-2), and facilitates the adsorption, caused by the attraction of  the positive and negative charges present in the layer (2-2). The difference  between the IE (%) of the different studied compounds refers to their cationic  part.</p>      <p>The significantly lower MTB protective properties can be explained by the  smaller area of its cationic part. The latter is almost identical for both OS and SS,  but there is a difference in their inhibiting properties. It is worth noting that this  difference is not as great as that found when comparing it with MTB (<a href="#t1">Table 1</a>). It  can be suggested that the discussed difference is determined by the substances  change undergone in an aqueous acidic medium. The dihydrothiazinium  heterocycle was disrupted there, and a mercaptopropyl substituent was  introduced into position 3 of the basic OS and SS heterocylcles.</p>      <p>Furthermore, two tautomeric forms exist in equilibrium - with oxazole (SOH1)  and oxazolone (SOH2) structures, or with thiazole (SSH1) and thiazolone  (SSH2) structures, respectively (<a href="#s1">Schemes 1</a> and <a href="#s2">2</a>).</p>      <p>&nbsp;</p> <a name="s1"> <img src="/img/revistas/pea/v36n6/36n6a04s1.jpg">     
]]></body>
<body><![CDATA[<p>&nbsp;</p> <a name="s2"> <img src="/img/revistas/pea/v36n6/36n6a04s2.jpg">        
<p>It can be assumed that the considered disruption may not proceed to its  completion. Hence, the solution will contain the basic form of SS and OS,  together with the dihydrothiazine heterocycle. Most probably, the dynamic  equilibrium with the participation of the three compounds’ forms in the solution,  and the resulting variation in their concentrations, determined the difference in  SS and OS inhibiting properties. It can further affect the observed solubility,  which is lower for OS than for SS. The situation is rather complex, and it is hard  to say which form determines a good inhibiting effect.  We assume, at this stage of our investigations, that the researched compounds’  inhibiting properties are generally due to their cations physical adsorption,  facilitated by the bromide anions on the metal surface.</p>       <p>&nbsp;</p>     <p><b>Conclusions</b></p>      <p>The frequency dispersion of the interfacial impedance is affected by the  concentration and molecular structure of the studied inhibitors.</p>      <p>The processes at the mild steel/1 M HCl interface + inhibitor were described by  two adequate structural models. The first one provided good correspondence to  the data obtained in MTB presence and at low SS and OS concentrations. It  contained a charge transfer resistance (Rct), in parallel with the double layer  capacitance, which was distributed and modeled by a constant phase element.</p>      <p>The processes at the interface with the presence of high SS and OS  concentrations were described by a structural model containing two time  constants: the first one was connected to the charge transfer and the double layer  capacitance, while the second one was attributed to the adsorption process.</p>      <p>The time constants values were determined on the ground of the obtained  parameters. The highest value of the adsorption time constant was found in OS  (ta = 4.4 s) case.</p>      <p>DC p R values obtained by the independent direct current Rp method were  juxtaposed to those of Rct or Rct + Ra, determined by the alternating current  impedance method. The results were very close. The IE values were estimated.  OS showed the best protective properties among the investigated compounds. </p>       <p>&nbsp;</p>     ]]></body>
<body><![CDATA[<p><b>References</b></p>      <!-- ref --><p>1. Rosenfeld I. Corrosion Inhibitors. Moscow: Khimiya; 1977.    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=437670&pid=S0872-1904201800060000400001&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --></p>      <!-- ref --><p>2. Reshetnikov S. Acid Corrosion Inhibitors of the Metals. Leningrad:  Khimia; 1986.    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=437672&pid=S0872-1904201800060000400002&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --></p>      <!-- ref --><p>3. Avdeev Y, Kuznetsov Y. 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