PERGAMON Electrochimica Acta 44 (1998) 559±571 Copper dissolution in bromide medium in the absence and presence of hexamethylenetetramine (HMTA) A.G. Brolo 1, M.L.A. Temperini *, S.M.L. Agostinho Instituto de QuõÂmica da Universidade de SaÄo Paulo, C.P. 20780, 01498-970 SaÄo Paulo, Brazil Received 3 April 1998 Abstract The anodic electrochemical behavior of copper in bromide medium, in the absence and presence of hexamethylenetetramine (HMTA), has been studied, using electrochemical and spectroelectrochemical techniques. The copper dissolution in the absence of HMTA was dependent on mass transport of bromide ions. A porous CuBr ®lm was formed at positive overpotentials. The ®lm growth mechanism followed the nucleation, growth and superposition (NGS) model, with instantaneous nucleation and a diusion controlled growth of a three dimensional ®lm. In the presence of the inhibitor, a passivant Cu/HMTA/Brÿ ®lm was observed. This ®lm has slow growth kinetics, favored by mass transport. The inhibitory eect was observed for the potential range between 0 mV and +800 mV (SCE). A maximum inhibitory eciency, near 100%, was observed for 15 mM HMTA. The nature of the passivant ®lm was con®rmed by in situ surface-enhanced Raman scattering (SERS) and SEM/EDX measurements. # 1998 Elsevier Science Ltd. All rights reserved. Keywords: Corrosion inhibitor; Copper corrosion; Hexamethylenetetramine (HMTA); Surface Raman spectroscopy; SERS 1. Introduction Copper corrosion in dierent media and conditions has been extensively studied [1]. The role of anions, such as sulfate [2], ¯uoride [3], chloride [4, 5], bromide [6], thiocyanate [7], carbonate [8] and bicarbonate [9], on the copper anodic dissolution and passivation has received special attention. Recently, the dependence of the mechanism of copper corrosion on the pH has also been reported [10]. It is well established that the copper dissolution process yields either Cu+ or Cu+2 derivatives, depending on the nature of the electrolyte. For instance, the monovalent cation is stabilized in halide (except Fÿ) and pseudohalide * Corresponding author. Fax: +55 11 815 5579; e-mail: [email protected] 1 Current address: University of Waterloo, Department of Chemistry, Waterloo, ON, N2L3G1, Canada. media; and Cu+2 compounds are more likely to be found for copper corrosion in sulfate and carbonate/ bicarbonate media [1]. The mechanism for copper dissolution in bromide medium has been established in a series of papers by Brossard and co-workers [11±14]. In the absence of any CuBr precipitate on the electrode surface, the dissolution occurs according to the following steps: ÿ Cu 2Brÿ CuBrÿ 2 i e 1st: step ÿ CuBrÿ 2 i ÿ4CuBr2 s 2nd: step: Where the subscripts i and s are related to interfacial and solution species, respectively. The diusion transnd port of CuBrÿ step) is the rate determining step in 2 (2 this situation [13]. However, as the anodic current density becomes large enough, CuBr precipitates on the electrode surface. 0013-4686/98/$19.00 # 1998 Elsevier Science Ltd. All rights reserved. PII: S 0 0 1 3 - 4 6 8 6 ( 9 8 ) 0 0 1 7 9 - 0 560 A.G. Brolo et al. / Electrochimica Acta 44 (1998) 559±571 The mechanism for copper dissolution in the presence of CuBr ®lm, showed below, is dierent, since CuBr reacts with Brÿ forming soluble complex anions, 2ÿ such as CuBrÿ 2 and CuBr3 [14]. Cu Brÿ CuBr i eÿ 1st: step ÿ Cu nBrÿ CuBr1ÿn n i e 2nd: step 1ÿn 1ÿn CuBrn i ÿ4CuBrn s 3rd: step: The diusion of CuBr1n ÿ n species into the solution (3rd step) is the rate determining step. The anodic current eventually reaches a limiting value, which is equal to the dissolution rate of the CuBr precipitate accumulate on the electrode surface [14]. The mechanism for copper dissolution in bromide medium is similar to the one in chloride medium [15]. However, the formation of Cu(II) have been reported for copper dissolution in chloride medium [16, 17] at relatively lower overpotentials than for copper dissolution in bromide [12]. Several inhibitors for copper corrosion have been widely studied mainly in those media where the copper dissolution mechanisms are known [18]. Therefore, various works can be found describing the action of inhibitors for copper in Clÿ [19±22] and SOÿ2 [23±25] 4 media. However, despite the mechanism for copper dissolution in bromide medium has been determined, it is still dicult to ®nd studies about the action of corrosion inhibitors in this medium [26]. In a previous work, we reported the eects of hexamethylenetetramine (HMTA) as an inhibitor for copper dissolution in bromide medium [27]. We showed that HMTA is an eective corrosion inhibitor for copper in bromide medium containing either Fe(III) or O2 as oxidants. Corrosion potential measurements indicated that the anodic process was not completely diusion controlled even in the absence of the inhibitor. Potentiostatic and potentiodynamic anodic polarization curves for copper dissolution in bromide solutions containing HMTA were shifted to more negative potentials due to the complexing action of HMTA on Cu(I) ions. The total anodic current became zero at more positive potential values due to the formation of the passivant ®lm. The Tafel analysis showed a decrease in the (dE/dlogI) slope as the HMTA concentration increased. The oxidation mechanism was quasi-reversible while the CuBrÿ 2 species were the only oxidation product, and it was not aected by the presence of HMTA. The inhibitory action was observed for [HMTA] r 3.0 mM. The anodic process was not diusion controlled in the entire polarization curve for these HMTA concentrations. The passive ®lm was characterized by ¯uor- escence spectroscopy as being a Cu(I)/HMTA/Brÿ complex. The objectives of this work are to understand some aspects of the mechanism for CuBr and Cu/HMTA/ Brÿ ®lms formation during the copper dissolution process, and further characterize the nature of the passivant ®lm. 2. Experimental 2.1. Electrodes The working electrode was a 0.50 cm diameter rotating disk electrode built with an electrolytic copper plate (99,9% purity). It was mechanically polished with 300, 400 and 600 mesh wet emery-paper and rinsed with double distilled water, prior to use. A cylindrical polytetra¯uorethylene sleeve was pressure ®tted onto the rotating disk electrode. A complete description of the electronic equipment used is given elsewhere [28]. A platinum foil was used as the auxiliary electrode, and a saturated calomel electrode (SCE) as the reference electrode. 2.2. Solutions The electrolyte solutions were prepared from analytical grade reagents and double distilled water. HMTA was reagent grade and it was used without further puri®cation. The pH values of the electrolyte solutions containing HMTA were adjusted to 3.0 with HBr aqueous solution. Bubbling of the solution with N2 was carried out for 30 min before the measurements, and a weak stream was maintained above the solutions during the experiments. All experiments were performed at (25 2 1)8C. 2.3. Electrochemical instrumentation The electrochemical system used was a PAR (potentiostat±galvanostat) model 273 coupled to an IBM personal computer which contain the data acquisition and the data treatment software. The curves were recorded on a HP 7090A plotter. 2.4. SEM and EDX instrumentation Environmental scanning electron microscope model E-3 was used for SEM analysis. The electron gun was operating at 20 kV. The cathode ®lament current was set to 1.37 A. The instrument is equipped with an Oxford link EDX analyzer model 6580 and silicon detector. In contrast to an older EDX analyzer, this model is supplied with a state of art thin electron win- A.G. Brolo et al. / Electrochimica Acta 44 (1998) 559±571 561 Fig. 2. Cyclic voltammograms for a stationary copper electrode in 0.1 M KBr, pH = 3 at scan rate = 10 mV/s; (A) [HMTA] = 6 mM; (B) [HMTA] = 15 mM. dow ATW2. This thin window allows the quantitative elemental analysis of light elements such as nitrogen. 2.5. Raman instrumentation In situ Raman spectra from the copper electrode were obtained with a Renishaw 1000 Raman microscope system equipped with a Peltier-cooled CCD detector and a holographic notch ®lter. A macropoint accessory, with 40 mm of focal length, was used to redirect the laser light to the electrode surface. The spectroelectrochemical cell has been described elsewhere [29]. A 35 mW Melles Griot He±Ne laser provided excitation at 632.8 nm. The laser power was ca. 6 mW at the sample. Fig. 1. Cyclic voltammogram for a stationary copper electrode in 0.1 M KBr, pH = 3 at scan rate = 10 mV/s; in the absence of HMTA. 3. Results and discussion A typical cyclic voltammogram for a stationary Cu electrode immersed in 0.1 M KBr solution, pH = 3.0, is presented in Fig. 1. Two anodic peaks, labeled A1 and A2, and two cathodic peaks, C1 and C2, were observed. According to Brossard [11], the formation of soluble CuBrÿ 2 species occurs before the peak A1. The ®rst anodic peak (A1) is due to the formation of a CuBr precipitate on the electrode surface. After this ®rst saturation the electrochemical reaction continues to occur through the porous ®lm and a second anodic peak, labeled A2, is observed (Fig. 1). The CuBr formation is still the predominant process in the A2 region [12]. The cathodic peak C1 is related to the reduction of these surface species. The cathodic peak C2 was not reported before [12]. Figs. 2A and 2B show the voltammograms for the copper dissolution in acidic bromide medium (pH = 3) in the presence of 6.0 and 15.0 mM HMTA (stationary electrode), respectively. For 6 mM HMTA (Fig. 2A), at sweep rate equal to 10 mV/s, the voltammogram was similar to the one obtained without the inhibitor (Fig. 1), except by the presence of an anodic pre-peak, App (identi®ed in Fig. 2A). The App peak was strongly dependent on the HMTA concentration. The current ratio, IApp/IA1, was higher for more concentrated HMTA solutions (Fig. 2B). The passivant eect was also more evident for copper dissolution in bromide medium (pH = 3) containing 15 mM of HMTA (Fig. 2B). The cathodic region observed in Fig. 2B presents several peaks indicating the reduction of dierent kinds of ®lms. 562 A.G. Brolo et al. / Electrochimica Acta 44 (1998) 559±571 Table 1 Surface chemical analysis (by EDX). The results are presented in mol fraction (X) Region Nitrogen Bromine Copper ®lm Patches 0.0691 Ð 0.0776 0.0420 0.8365 0.9333 The results observed in Figs. 1 and 2, suggest that the pre-peak, App, corresponds to the Cu(I)/HMTA/ Brÿ passive layer formation, and the peak A1 corresponds to the CuBr ®lm. The Cu(I)/HMTA/Brÿ ®lm is formed at low positive overpotentials [27], and the CuBr ®lm is formed either through the pores of the ®rst ®lm or on surface regions not completely covered by the HMTA-containing ®lm. The increase of the ratio IApp/IA1 with the increase of the HMTA concentration (Figs. 2A and 2B) agrees with this assignment (more HMTA in solution seems to favor the formation of the species at App). SEM measurements were performed in order to con®rm these voltammetric results. The SEM image, obtained from a Cu electrode submitted to a similar condition as presented in the anodic part of Fig. 2A, showed a ®lm on the electrode surface with few patches. This result indicate that part of the electrode was not covered by the inhibitory ®lm. Elemental chemical analysis on the ®lm and inside the patches were performed. The results are summarized in Table 1. The analysis of the ®lm showed a fair amount of nitro- Fig. 3. Cyclic voltammograms for a stationary copper electrode in 0.1 M KBr, pH = 3.0 at several reversal scanning potential values (Er). Scan rate = 10 mV/s; in the absence of HMTA. gen, which indicates the presence of HMTA. On the other hand, chemical analysis of the patches showed mainly Cu and Br. Fig. 3 shows the cyclic voltammograms for a stationary copper electrode in 0.1 M bromide medium (pH = 3), in the absence of inhibitor, at several reversal scanning potentials values, Er (indicated in Fig. 3), at dierent positive limits. In the cathodic region, the peak C1 was observed at ÿ190 mV for Er= ÿ 100 mV. At this Er value, the formation of the soluble species (CuBrÿ 2 ) is expected [12, 27]. The cathodic peak C1 shifted to more negative potential values as the Er became more positive (Fig. 3). When peak C1 reached ca. ÿ400 mV (for Err + 100 mV), there were no further signi®cant changes in both its potential and its current values. This is an indication that the CuBr ®lm, formed in the surface at positive potentials (A1 region), is reduced at C1. The cathodic peak C2 appeared only after the Er values reached +200 mV. The current of the cathodic peak C2 increased as the Er values become more positive than +200 mV. Two anodic peaks, A1 at ca. +30 mV and A2 at ca. +400 mV, were observed in the anodic part of the voltammograms. The ®lm breakdown, probably due to a pitting process [30], was noticed (Fig. 3) when the Er values were made more positive than +600 mV. The evidence for this ®lm disruption was the high values of anodic current observed in the reversal part of the voltammogram (cathodic sweep) for Er values higher than +600 mV (Fig. 3). The localized attack was con®rmed by SEM. The SEM images from a Cu electrode submitted to a sweep scan to +600 mV, in the conditions presented in Fig. 3, showed pits of ca. 20±50 mm of diameters. Similar pit formation processes have been observed for copper dissolution in chloride and sulfate media [31]. The observations from Fig. 3 indicate that the copper anodic dissolution products (in 0.1 M bromide medium and pH = 3 in the absence of HMTA) formed in A1 and A2 are reduced in C1 and C2, respectively. This results contradicts a previous work [12] which claims that the species formed in both A1 and A2 are reduced together in the cathodic region C1. However, cathodic potentials studied in Ref. [12] were not negative enough to allow the observation of the peak C2. It seems evident that the peak A1 is related to the formation of CuBr ®lm which was reduced at C1. This hypothesis is in agreement with the experimental data presented here and with other prior works [11±14, 27]. The nature of the peaks A2 and C2 are unclear, and it will be discussed in the following paragraphs. Following the mechanism for copper oxidation in chloride medium, one can suggest that the anodic peak A2 is due to the formation of Cu(II) ions [16]. Nevertheless, the oxidation of the CuBr ®lm is not the main reaction that occurs at the anodic peak A2. This A.G. Brolo et al. / Electrochimica Acta 44 (1998) 559±571 conclusion is supported by the following observations: ®rst of all, the anodic peak A2 (at potential more positive than A1, see Fig. 1) was clearly related to the cathodic peak C2 that appears at potentials more negative than C1 (Fig. 3). Therefore, the specie formed in A2 was kinetically more stable than the species formed in A1. Besides, the Cu(II) species are generally more soluble than Cu (I) derivatives, therefore, the peak C2 should decrease when the electrode was rotated (RDE experiments), which was not observed. The Pourbaix diagram for copper in 1 M bromide medium [26] predicts that the formation of Cu(II) starts at potential more positive than +800 mV versus SCE. Finally, the Cu(II) ions are blue in aqueous medium and this color was noticed only when the potential was swept to values more positive than those showed in Figs. 1 and 3. Another possibility is that the peak A2 is due to a copper oxide formation. Copper oxides are very stable and the ®lm could remain in the surface even at very negative potentials. However, the formation of copper oxides is not expected for copper dissolution in acidic medium free of oxygen. In fact, the equilibrium potential-pH diagram (Pourbaix diagram) for copper in chloride medium shows that, at lower pH, the oxidation of CuCl should lead to the formation of Cu2+ ions instead of copper oxides [32]. The same is observed in the Pourbaix diagram for copper in 1 M bromide solution [26]. The mechanism for copper dissolution in bromide medium (presented in Section 1) suggest that CuBr is the predominant species in both regions A1 and A2 [12]. Therefore, there are two possible explanations for the nature of the anodic peak A2 and the cathodic peak C2 (not considering the possibility of Cu(II) and copper oxides formation). First of all, one can consider that a CuBr ®lm (type I) is formed in A1. This type I ®lm must be porous and permits the reaction to continue to occur through the pores, leading to the formation of another kind of CuBr ®lm (type II) with Fig. 4. Cyclic voltammograms for a stationary copper electrode in 0.1 M KBr, pH = 3, [HMTA] = 15 mM at several reversal scanning potential values (Er). Scan rate = 10 mV/s. 563 Fig. 5. Eect of the sweep rate on the cyclic voltammogram for a stationary copper electrode in 0.1 M KBr, pH = 3 and 15.0 mM HMTA. The sweep rates are indicated in the ®gure. dierent morphology, which is responsible for the anodic peak A2. The type II ®lm is more stable and it is reduced at potentials more negative than the cathodic peak C1. Another possibility takes into account that A2 is related to the limiting current of the CuBr ®lm dissolution (3rd step in the mechanism for dissolution of a copper electrode covered with CuBr presented in Section 1). In this case, the C2 peak must be connected to the reduction of the species possibly generated during the localized attack of copper. Fig. 4 presents the voltammograms for the dissolution of a stationary copper electrode in 0.1 M bromide (pH = 3) in the presence of 15 mM HMTA, at several Er values. One can observe from Fig. 4 that the cathodic region become complex as the Er values were made more positive than the potential of the anodic peak A1. The complex cathodic region suggest the reduction of mixed ®lms formed in the anodic sweep. Fig. 5 shows the dependence of the cyclic voltammograms for copper in bromide medium (pH = 3), in the presence of 15 mM HMTA, on the sweep rate. It can be noticed that the inhibitor was more ecient at low sweep rates (1 mV/s). Almost total passivation was observed for the voltammogram at 1 mV/s (the anodic current is close to zero after the anodic peaks, Fig. 5). The ratio of the anodic currents IApp/IA1 was higher for the voltammogram obtained at 1 mV/s. The ratio IApp/IA1 decreased as the sweep rate increased. The small value of the ratio, IApp/IA1, for high sweep rates, suggest that the specie responsible for the peak App can not be well formed at fast potential scans. The inverse relationship between IApp/IA1 and the sweep rate indicates a slow kinetics for the formation of the species responsible for the App peak. In fact, a slow formation rate for the Cu(I)/HMTA/Brÿ ®lm has been demonstrated in our previous work [27]. Fig. 6 shows the dependence of the cyclic voltammograms of copper in 0.1 M bromide medium (pH = 3) containing 15.0 mM HMTA on the stirring of the solution. As it can be observed in Fig. 6, a more ecient 564 A.G. Brolo et al. / Electrochimica Acta 44 (1998) 559±571 Fig. 6. Eect of mass transport on the voltammogram for a copper electrode in 0.1 M KBr, pH = 3 and 15 mM HMTA. The rotation frequencies are shown in the ®gure. protective ®lm is formed on the electrode which was rotated at 16 Hz. The results presented in Fig. 6 indicates that the mass transport favors the inhibition process. In the voltammogram under stirring (f = 16 Hz), only one cathodic peak at ca. ÿ360 mV and one anodic peak at ca. ÿ104 mV was observed. Besides, peak A1 did not appear in the voltammogram under stirring. These results suggest that, for the system under stirring, only a compact Cu/HMTA/Brÿ ®lm is formed. In contrast, the voltammogram of the nonstirred solution (f = 0 Hz in Fig. 6) presents several cathodic peaks due to the reduction of mixed ®lms, and the anodic current increased as the potential become more positive than +200 mV. Chronoamperometry can be used for ®lm formation mechanism studies. A theoretical model for multiple nucleation phenomena followed by diusion controlled growth of three dimensional center was developed [33]. The nucleation process can either be progressive or instantaneous [33]. This nucleation, growth and superposition (NGS) model has been successfully applied to several systems [34, 35]. Chronoamperograms were obtained by stepping the potential from ÿ1.0 V (Einitial) to dierent positive potential limits (E®nal). Fig. 7 shows the chronoampero- grams for copper in 0.1 M bromide medium (pH = 3), in the absence of HMTA, obtained at several E®nal values (the E®nal values are indicated in Fig. 7). An exponential current decrease until a constant residual value was obtained for low overpotentials (E®nal= ÿ 100 mV in Fig. 7). This behavior is expected for an oxidation process with soluble products controlled by mass transport [36]. It has been demonstrated that the soluble CuBrÿ 2 is the dominant species at this overpotential [11, 12, 27]. When the E®nal values were made more positive than +100 mV, the chronoamperograms presented the characteristic shape expected in a ®lm formation process. For E®nal> + 100 mV, a increase in the current was observed at the beginning of the chronoamperogram (initial transient). After a time tm, the current reaches a maximum value originating a current peak (Im), from which the current starts to decrease. This kind of result characterizes the classical behavior of a ®lm formation process by NGS mechanism [33]. The chronoamperograms for copper in 0.1 M bromide (pH = 3), in the presence of 15 mM HMTA, are presented in Fig. 8. The chronoamperograms in the presence of HMTA can be divided in two distinct sets. The ®rst set (set I) comprise the chronoamperograms obtained for E®nalR + 400 mV (Fig. 8). These curves presented an initial increase in the current, followed by complete passivation (current drops to zero). On the other hand, a second set of chronoamperograms (set II) was obtained for E®nal values more positive than +400 mV. In this case, the shape of the chronoamperometric curves are very similar to the ones obtained in Fig. 7 (in the absence of HMTA). All chronoamperograms obtained in the presence of 15 mM HMTA (Fig. 8), presented values for Im lower than the one observed in the absence of the inhibitor (Fig. 7). The maximum current peaks were also reached at lower tm values in the presence of 15 mM HMTA. The set I- Fig. 7. Chronoamperograms for a stationary copper electrode in 0.1 M KBr, pH = 3. Einitial= ÿ 1.0 V; E®nal values are indicated in the ®gure. A.G. Brolo et al. / Electrochimica Acta 44 (1998) 559±571 565 Fig. 8. Chronoamperograms for stationary copper electrode in 0.1 M KBr, pH = 3 with 15 mM HMTA. Einitial= ÿ 1.0 V; E®nal values are indicated in the ®gure. type chronoamperograms in Fig. 8 (for E®nalR + 400 mV) show rapidly decrease in the current to a value practically equal to zero after the Im peak, indicating that, in the presence of HMTA, the formed ®lm was not porous. This ®lm completely blocked the surface and prevent the copper oxidation reaction. For E®nalr + 600 mV (set II curves in Fig. 8), the chronoamperograms were similar to the ones without the inhibitor, suggesting that there was a competition between the formation of CuBr and Cu(I)/HMTA/Brÿ ®lms. The porous CuBr ®lm was formed preferentially, even in presence of HMTA, when E®nalr + 600 mV, due to the slow kinetics of the Cu/HMTA/Brÿ passive ®lm formation. These results are in accordance with those obtained by cyclic voltammetry. The mechanism for the ®lm formation can be veri®ed by comparing the experimental chronoamperogram with theoretical curves, for progressive and instantaneous nucleation, considering a NGS-type mechanism, using the expressions [33]: 2 I2 t t 1:9542 1 ÿ exp ÿ 1:2564 tm tm I 2m for instantaneous nucleation, and 2 2 I2 t t 1:2254 1 ÿ exp ÿ 2:3367 tm tm I 2m for progressive nucleation. The experimental (from Fig. 7, for copper in 0.1 M bromide, pH = 3, without HMTA) and the theoretical Fig. 9. Comparison between the NGS theoretical models and experimental results for copper in 0.1 M KBr, pH = 3; E®nal= + 200 mV. (a) experimental data; (b) calculated chronoamperogram, using a NGS model with instantaneous nucleation; (c) calculated chronoamperogram, using a NGS model with progressive nucleation. 566 A.G. Brolo et al. / Electrochimica Acta 44 (1998) 559±571 Fig. 10. Comparison between the initial transients of chronoamperograms for copper in 0.1 M KBr (pH = 3.0). (a) absence of HMTA; (b) presence of 15 mM HMTA. E®nal= + 200 mV. curves relating to dimensionless parameters (I/Im)2 and (t/tm) are presented in Fig. 9. Curve A shows the experimental chronoamperogram for the system without inhibitor (from Fig. 7), while curves B and C are the calculated results for instantaneous and progressive nucleation process, respectively. The result in Fig. 9 clearly shows that the CuBr ®lm formation occurs through a NGS mechanism. The nucleation is instantaneous, and the growth is controlled by diusion. This result agrees with previous work which consider that the ®lm formation is controlled by the mass transfer of bromide ions [11]. The electrocrystalization of other copper dissolution products have also been found to follow the NGS mechanism [37]. The diusion coecient of bromide was also determined from the NGS model (see Refs. [34] and [35] as examples of the procedure). The average value for the diusion coecient of bromide was ca. 1.6 10ÿ5 cm2/s, which was in fair agreement with voltammetric determinations (1.8 10ÿ5 cm2/s in Ref. [11]). Unfortunately, a similar quantitative treatment was not possible for the chronoamperograms in the presence of HMTA (Fig. 8). Despite the curves showed in Fig. 8 for E®nalr + 600 mV (set II) being very similar to the ones obtained in the absence of inhibitor, a critical analysis of these curves becomes dicult due to the supposedly presence of a second ®lm of CuBr, which competes with the formation of Cu/HMTA/Brÿ. The shape of the chronoamperograms obtained in the presence of HMTA for E®nalR + 400 mV (set I in Fig. 8) does not correspond to the NGS model with diusion controlled growth. These curves suggest a two dimensional nucleation-superposition process rather than three dimensional. In this case, the Cu/HMTA/Brÿ nuclei are formed and grow parallel to the surface, forming a compact, non-porous, layer. According to the voltammetric data presented before, the nuclei growth is controlled by diusion. As the superposition occurs, the surface is completely blocked, leading to immediate decrease in the total current to zero. Another interesting feature appears when the chronoamperograms in the absence (Fig. 7) and in the presence of HMTA (Fig. 8) are compared at short time intervals. Fig. 10 presents this comparison for E®nal= + 200 mV. According to Fig. 10, for t < 0.05 s, the anodic current in the presence of the inhibitor was higher than the current obtained in the absence of HMTA. This behavior con®rms the complexing eect of HMTA observed before [27], and the low rate for the passive ®lm formation. The current values presented in Fig. 10 are practically constant in both curves for t>0.4 s. The electric charges can be extracted from the chronoamperograms, and the eciency y of the inhibi- Fig. 11. Dependence of inhibitory eciency o HMTA on the applied potential (E®nal). The electric charges were calculated using the chronoamperometric measurements presented in Figs. 7 and 8. A.G. Brolo et al. / Electrochimica Acta 44 (1998) 559±571 tor can be calculated using the following expression: y Q0 ÿ QHMTA : Q0 Where Q0 and QHMTA are the electric charges in the absence and presence of HMTA, respectively. Fig. 11 shows the dependence of the eciency of the inhibitory action (y values), obtained (by the integration of the chronoamperograms) for 6.0 and 15 mM HMTA, on the ®nal potential (E®nal). A much higher eciency for more concentrated HMTA solutions (15 mM HMTA) up to +400 mV was observed. For E®nal values more positive than +400 mV the inhibitor eciency decreases sharply. For HMTA 6.0 mM, the inhibiting eciency increases with the E®nal, and above +400 mV it falls down to approximately zero. These results con®rmed the existence of a compe- 567 tition between the CuBr and Cu/HMTA/Brÿ ®lms at higher overpotentials. The negative y at zero volts for 6.0 mM (Fig. 11) is related to the complexing eect of the inhibitor [27]. More information about the nature of the passivant ®lm was obtained by surface Raman scattering experiments. This technique also provided some insights into the understanding of the copper oxidation in the presence of the inhibitor. The normal coordination analysis and vibrational assignment for HMTA have been performed [38]. SER spectra of HMTA adsorbed on a silver electrode have also been reported [39]. The in situ surface-enhanced Raman (SER) spectra from a copper electrode immersed in a solution containing 1 mM HMTA (0.1 M KBr, pH = 3) at dierent potentials (before and after the ®lm formation) are presented in Fig. 12, and Fig. 12(a). 568 A.G. Brolo et al. / Electrochimica Acta 44 (1998) 559±571 Fig. 12. Surface-enhanced Raman spectra of a copper electrode immersed in 0.1 M KBr + 1 mM HMTA solution at several potentials. Region 1: from 300 to 1500 cmÿ1. Region 2: from 2700 to 3100 cmÿ1. Applied potentials: (a) ÿ1.2 V; (b) ÿ0.4 V; (c) +0.4 V. the vibrational frequencies and assignments are presented on Table 2. Several striking dierences can be observed in the spectra presented in Fig. 12 for dierent applied potentials. The monoprotonated cation (HMTAH+) is the predominant species in solution throughout our experiments (pH = 3), considering that HMTA is a moderate base ( pKa=6.2). However, at very negative potential (E = ÿ 1.2 V, Fig. 12a), the SER spectrum closely resembled the one observed for adsorbed HMTA on metallic surface [39], with two strong peaks at 778 and 1048 cmÿ1. The protonation of one of its nitrogen dramatically decreases the basicity of other nitrogen in the HMTA molecule. Being so, the monoprotonated HMTA can only adsorb to the electrode surface by electrostatic interactions (not by acid±base reaction). The amount of speci®c adsorbed bromide at ÿ1.2 V is expected to be small, which avoids the possibility of an ion-pair interaction. Therefore, the HMTA molecule interacts directly with the electrode surface at this potential. The SER spectrum (Fig. 12b) at ÿ400 mV (before the copper oxidation) shows an overall shift and splitting in several peaks. Besides, the 778 and 1048 cmÿ1-bands' intensities decreased and new strong bands at 794, 1022 and 1061 cmÿ1 appeared. A strong ca. 1026 cmÿ1 band is a ®ngerprint for the monoprotonated HMTA cation [39]. These spectral changes suggest that, as the potential was made more positive, the amount of speci®cally adsorbed bromide anions increased, which made the ion-pair interaction between HMTAH+ and Brÿ possible. The adsorption of HMTA and HMTAH+ before the copper oxidation are illustrated in Fig. 13. A.G. Brolo et al. / Electrochimica Acta 44 (1998) 559±571 569 Table 2 Vibrational frequenciesa (in cmÿ1) and assignment for HMTA adsorbed on the copper electrode E = ÿ 1.2 V 453 514 704 778 797 (m) (m) (w) (s) (m, sh) 996 (w) 1012 (w) E = ÿ 0.4 V E = + 0.4 V 150 (b, s) 150 (b, vs) 360 (w) 443 (m) 500 (m), 512 (m) 692 (sh, w), 700 (w) 760 (m) 792 (s) 848 (m), 854 (m) 888 (m) 959 (m), 970 (m) 996 (b, w), 1014 (m) 1025 (m) 1053 (m) 1060 (m), 1066 (m) 1177 (s) 1200 (s) 1250 (m), 1260 (m) 1272 (w) 1302 (m), 1324 (m) 1340 (s) 1354 (m), 1357 (m) 1394 (m) 1438 (m) 443 500 696 764 794 810 886 970 (m) (m), 516 (w) (m) (b, s) (sh, s) (m) (b, m) (b, m) 1236 (m) 1022 1049 1061 1190 1205 1254 1327 (w) 1341 (m) 1306 (b, w) 1340 (b, w) 1371 1455 1474 1571 2896 1391 (b, w) 1450 (b, w) 1048 (vs) (m) (m) (w) (w) (b, s) 2932 (s) 2959 (s, sh) (b, (s) (s) (b, (b, (b, s) w) w) w) 2907 (sh, s) 2948 (s) 2971 (sh, s) 2874 2900 2942 2969 3000 (b, w) (b, w) (s), 2951 (m) (s), 2994 (sh) (s), 3006 (sh, s) Literature Assignment 378c 456b 512b 688b 783b n (Cu±Br) n16 (F1) n10 (E) n25 (F2) n24 (F2) n4 (A1) 818b [911] 960b 1011b 1026b 1050b n23 (F2) n15 (F1) comb. n22 (F2) n9 (E) n3 (A1) [1179] n14 (F1) 1240b [1280] [1346] 1350b 1381b [1401] 1458b 1458c [1460] [2869] 2873c 2883c [2952] 2955c n21 (F2) n5 (A2) n13 (F1) n8 (E) n20 (F2) n12 (F1) n7 (E) n19 (F2) n2 (A1) n6 (E) n18 (F2) n1 (A1) n11 (F1) n17 (F2) a Intensities: v Ð very; w Ð weak; m Ð medium; s Ð strong; b Ð broad; sh Ð shoulder. Frequencies from solution spectrum presented in Ref. [39]. c Frequencies from Ref. [38]. Calculated frequencies (from Ref. [38]) are presented in square brackets. The assignment is presented considering a Td symmetry. b Fig. 12c presents the in situ spectrum of the Cu/ HMTA/Brÿ ®lm formed at +0.4 V. The splitting of several bands is more evident in this spectrum. HMTA is a cage-like compound with Td symmetry. The coordination of one of its nitrogen provoke a decrease in the overall symmetry to C3v. Using the correlation table technique [40], it is possible to predict that the degenerated F1 and F2 modes should split into A2+E and A1+E, respectively. The A2 modes are Raman inactive under C3v symmetry. The spectrum presented on Fig. 12c is consistent with a monocoordinated HMTA complex. The bands at 760, 1060, 1066 and 2931 cmÿ1 are probably from HMTAH+. 4. Conclusions The results presented in this work for the copper oxidation in bromide medium, in the absence of the in- hibitor, indicate a diusion controlled process at low anodic overpotentials, while there is the formation of soluble products. At higher overpotentials, a porous CuBr ®lm is formed. The CuBr is the main product for the copper oxidation in bromide medium for overpotentials as high as +800 mV (versus SCE). Two anodic peaks were observed in the voltammogram, which may correspond to two types of CuBr ®lms with distinct morphology. Evidence from localized dissolution of the CuBr ®lm at potentials more positive than +200 mV was observed by cyclic voltammetry and SEM. The CuBr ®lm formation follows a growth mechanism that corresponds to a NGS model, with an instantaneous nucleation and a diusion (of bromide ions) controlled growth. The HMTA inhibits the copper oxidation process in bromide medium through the formation a Cu(I)/ HMTA/Brÿ ®lm. This ®lm is formed at anodic potential values more negative than the potentials where the 570 A.G. Brolo et al. / Electrochimica Acta 44 (1998) 559±571 HMTAH HMTA H 2nd: step ÿ CuBrÿ 2 HMTA ÿ4Cu HMTABr Br 3rd: step Cu Brÿ CuBr eÿ 4th: step: For low overpotentials and slow sweep rates, the steps 1, 2 and 3 are important. In this case, the ®rst step seems obvious, because, according to our SERS results, the bromide ions are directed adsorbed to the electrode surface. The equilibrium presented in step 2 is also observed from the SERS experiments. At low overpotentials, and slow sweep rates, the soluble CuBrÿ 2 can either diuse to the bulk solution or react with HMTA to form a protective ®lm. The fourth step became important at higher overpotentials. In these cases (more anodic potentials or fast sweep rates), the CuBr ®lm formation start to compete with the Cu/ HMTA/Brÿ. Evidences for multiple ®lm formation in these situations was observed by cyclic voltammetry, chronoamperometry and SEM/EDX. Fig. 13. Models for the adsorption of HMTA and HMTAH+ on a copper electrode in 0.1 M Brÿ medium before the copper oxidation. (a) without speci®c bromide adsorption (E = ÿ 1.2 V); (b) with speci®c bromide adsorption (E = ÿ 0.4 V). CuBr ®lm is formed, indicating a complexing eect of HMTA on Cu(I) ions. The inhibitory eect of HMTA on copper dissolution was observed for potential values between 0 and +400 mV for [HMTA] = 6 mM and between 0 and +800 mV for [HMTA] = 15 mM. For [HMTA] = 15.0 mM, the inhibitory eciency was near 100% in the potential range between 0 and +400 mV (versus SCE). The passive HMTA ®lm has a slow growth rate when compared to the kinetics of formation of the CuBr ®lm. In fact a competition between both types of ®lm occurs. The mixture of these ®lms on the electrode surface was determined by SEM/EDX measurements. 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