American Journal of Analytical Chemistry
Vol.5 No.2(2014), Article ID:42143,10 pages DOI:10.4236/ajac.2014.52009

Use of Rosmarinus officinalis as Green Corrosion Inhibitor for Carbon Steel in Acid Medium

M. A. Velázquez-González1, J. G. Gonzalez-Rodriguez1*, M. G. Valladares-Cisneros2, I. A. Hermoso-Diaz1

1Universidad Autonoma del Estado de Morelos, CIICAp, Col. Chamilpa, Cuernavaca, Mexico

2Universidad Autonoma del Estado de Morelos, FCQeI, Col. Chamilpa, Cuernavaca, Mexico

Email: *ggonzalez@uaem.mx

Received November 14, 2013; revised December 15, 2013; accepted January 1, 2014

ABSTRACT

The use of Rosmarinus officinalis as a corrosion inhibitor for 1018 carbon steel in 0.5 M H2SO4 has been evaluated by using weight loss, potentiodynamic polarization curves and electrochemical impedance spectroscopy techniques at 25˚. Inhibitor concentrations were included within the range between 0 and 1000 ppm C using three extract solvents, namely acetone, hexane and methanol. Results have shown that Rosmarinus officinalis is a good corrosion inhibitor with its efficiency increasing with the concentration. The best efficiency was obtained with the hexanic extract. The passivating film properties of the steel were improved by the presence of flavonoids in the extract.

Keywords:Metals; Corrosion; Fourier Transform Infrared Spectroscopy; Electrochemical Techniques

1. Introduction

Corrosion of materials causes big losses in the economy of many countries due to the huge amount of funds needed in order to reduce it. Corrosion inhibition of metals, especially of steel, has received a lot of attention because of its widespread use in the industry such as the oil and gas, beverage, metallurgy among others, and thus, a lot of research in the field of corrosion inhibition of steel is necessary. The studies of plant extract as low-cost and eco-friendly corrosion inhibitors are of great interest from an environmental perspective and are attracting a significant level of attention [1-3]. Green inhibitors receive attention for the replacement of synthesized inorganic inhibitors which are often toxic, expensive and environmentally unfriendly [4] and have a promising future for the quality of the environment because they do not contain heavy metals or other toxic compounds. Extracts from leaves, seeds, fruits and roots contain compounds with nitrogen, sulfur and oxygen described as efficient corrosion inhibitors indifferent to the aggressive environments [5,6]. Some examples of natural products used as corrosion inhibitors include Parthenium hysterophorus [7], Capsicum annuum [8], Lawsonia [9], Opuntia [10], Swertia aungustifolia [11], Ficus religeosa [12], heena [13], Datura stramonium [14], calotropis [15], Prosopis cineraria [16], Occimum viridis, Telferia occidentalis, Azadirachta indica and Hibiscus sabdariffa [17], Pachylobus edulis [18] and Dacroydes edulia [19]. These studies have shown that organic compounds containing N, S and O have high corrosion inhibitors. Most of these organic inhibitors are adsorbed on the metal surface [20]. These green corrosion inhibitors contain, for instance, tannins, saponins, proteins, flavonoids among others.

Among the plants with known antioxidant properties, rosemary, Rosmarinus officinalis, an aromatic plant of Mediterranean origin is the one that has been mostly used and commercialized [21,22]. In Rosmarinus officinalis, the presence of at least six phenolic diterpenoids with antioxidant activity such as carnosol, carnosic acid, rosmarinic acid, rosmadial, rosmanol, epirosmanol and methyl carnosate has been reported [23-27]. The chemical structure of some of these compounds is shown in Figure 1. Some rosemary extracts have been used in medicine as anti-inflammatory [28] and antimicrobial agents [29]. Kliskic et al. [30] evaluated the first neutral phenol subfraction of the aqueous extract of Rosmarinus officinalis leaves as the corrosion inhibitor for the Al-2.5 Mg alloy in 3% NaCl at 25˚C and different concentrations ranging from 10−7 to 10−3 M, finding that this extract acts as a cathodic type of inhibitor. On the other hand, Ouarichi et al. [31] used Rosmarinus officinalis essential oil obtained by hydro-destillation as the corrosion inhibitor for C38 steel in 0.5M H2SO4 using weight loss measurements and polarization curves. Their results indicate that the corrosion rate is reduced and its inhibition efficiency increases with oil concentration reaching the highest value, 61%, at 1 g/L, acting as a cathodic type of inhibitor. In this work, Rosmarinus officinalis extracts by using different types of solvents are used as corrosion inhibitors for 1018 carbon steels in 0.5 M H2SO4.

Figure 1. Chemical structure for the main components of Rosmarinus officinalis showing in a) Carnosic acid, b) Rosmarinic acid and c) Carnosol.

2. Experimental Procedure

Corrosion tests were performed on coupons prepared from 1018 carbon steel rods containg 0.14% C, 0.90% Mn, 0.30% S, 0.030% P and as balance Fe, encapsulated in commercial epoxic resin with an exposed area of 1.0 cm2. The aggressive solution, 0.5 M H2SO4 was prepared by dilution of analytical grade H2SO4 with double distilled water. Dried Rosmarinus officinalis leaves were soaked in either methanol, acetone or hexane during 24 h and used as a stock solution and used then for preparation of the desired concentrations by dilution, without any other treatment. The resulting extract was used as a stock solution and characyerized by FTIR. Weight loss experiments were carried out with carbon steel rods 2.5 cm length and 0.6 cm diameter abraded with fine emery paper until 1200 grade, rinsed with acetone, and exposed to the aggressive solution during 72 h. After a total time of exposition of 72 hours, specimens were taken out, washed with distilled water, degreased with acetone, dried and weighed accurately. Tests were performed by triplicate at room temperature (25˚C). Corrosion rates, in terms of weight loss measurements, DW, were calculated as follows:

(1)

were m1 is the mass of the specimen before corrosion, m2 the mass of the specimen after corrosion, and A the exposed area of the specimen. For the weight loss tests, inhibitor efficiency, IE, was calculated as follows:

(2)

were DW1 is the weight loss without inhibitor, and DW2 the weight loss with inhibitor. Specimens were weighed in an analytical balance with a precision of 0.1 mg. Employed electrochemical techniques included potentiodynamic polarization curves and electrochemical impedance spectroscopy measurements, EIS. In all experiments, the carbon steel electrode was encapsulated in commercial epoxic resin, was allowed to reach a stable open circuit potential value, Ecorr. Polarization curves were recorded at a constant sweep rate of 1 mV/s at the interval from −1000 to +1500 mV respect to the Ecorr value. Measurements were obtained by using a conventional three electrodes glass cell with two graphite electrodes symmetrically distributed and a saturated calomel electrode (SCE) as reference with a Lugging capillary bridge. Corrosion current density values, Icorr, were obtained by using Tafel extrapolation by taking an extrapolation interval of 250 mV around the Ecorr value. Inhibitor efficiency, IE, were calculated according to the following equation:

(3)

were Icorr,i and Icorr,b are the corrosion current density values with and without inhibitor respectively. Electrochemical impedance spectroscopy (EIS) tests were carried out at Ecorr by using a signal with amplitude of 10 mV in a frequency interval of 100 mHz-100 KHz. An ACM potentiostat controlled by a desk top computer was used for the polarization curves, whereas for the EIS measurements, a model PC4 300 Gamry potentiostat was used.

3. Results and Discussion

3.1. Gravimetric Measurements

The effect of the different extracts concentration in the weight loss for carbon steel in 0.5 M H2SO4 is shown in Figure 2, where it can be seen that, regardless of the medium used for its extraction, the corrosion rate decreases with increasing the inhibitor concentration, being the most efficient one the inhibitor extracted with hexane, as can be seen in Figure 3, where the inhibitor efficiency values for the different extracts are plotted. The highest inhibitor efficiency was reached when 1000 ppm of inhibitor is added, around 60% for the hexanic extract, and 45% for both the acetonic and methanolic extracts. The successful inhibitory action of Rosmarinus officinalis could be explained by the presence of organic compounds such as carnosol, carnosic acid, rosmadial, rosmanol, epirosmanol, and methyl carnosate [23-]">7]">2]">7]. Organic compounds that contain O, S, or N or their combination have been reported as corrosion inhibitor for metals in acidic or alkaline solutions [1-]">7]. The adsorption of these compounds on the metal surface reduces the available area for the attack of aggressive ions such as SO42− or Cl. As seen from Figure 2, the weight loss decreases with increasing the extract concentration due to a higher degree of surface coverage as a result of enhanced inhibitor adsorption. In order to evaluate the adsorption process of Rosmarinus officinalis on the 1018 carbon steel surface, Langmuir, Temkin and Frumkin adsorption isotherms were obtained according to the following equations:

(4)

(5)

(6)

where q is the surface coverage, K the adsorption-desorption equilibrium constant, Cinh the inhibitor concentration anf g the adsorbate interaction parameter. The surface coverage, q, was calculated as

(7)

The isotherm that best fitted with the data obtained, as can be seen in the Figure 4 was that for the Frumkin one

Figure 2. Weight loss as a function of Rosmarinus officinalis concentration for carbon steel after 72 h of exposure to 0.5 M H2SO4 25˚C using different solvents.

Figure 3. Inhibitor efficiency as a function of Rosmarinus officinalis concentration for carbon steel after 72 h of exposure to 0.5 M H2SO4 at 25˚C using different solvents.

Figure 4. Frumkin isotherm for the adsorption of the hexanic extract of Rosmarinus officinalis on the surface of carbon steel in 0.5 M H2SO4 using the weight loss data.

with an R2 value of 0.996, indicating that Rosmarinus officinalis adsorbed onto the carbon steel surface. From the Frumkin isotherm, tha adsorption-desorption equilibrium constant K was determined as −0.57 L∙mg−1 leading to an adsorption free-energy value of −37.4 kJ∙mol−1. Generally, values of the adsorption free-energy much less than −40 kJ∙mol−1 have typically been correlated with the electrostatic interactions between organic molecules and charged metal surface (physisorption) whilst those values in the order of −40 kJ∙mol−1 are associated with charge sharing or transfer from the organic molecules to the metal surface (chemisorption) to form a coordinate type of bond [32]. The negative value of the freeenergy of adsorption value means that the adsorption process is spontaneous, while the value around −40 kJ∙mol1 indicates that Rosmarinus officinalis was chemically adsorbed on the steel surface.

3.2. Potentiodynamic Polarization Curves

The effect of the acetonic extract concentration in the polarization curves for carbon steel in 0.5M H2SO4 is shown in Figure 5. This figure shows an active-passive behavior in both uninhibited and inhibited solution, and it can be clearly seen that neither the Ecorr nor the Icorr values were substantially affected by the inhibitor; in addition to this, neither the cathodic nor the anodic current density values were affected by the presence of the inhibitor; however, the passivation current density and the pitting potential values, Ipass and Epit respectively were markedly affected. The fact that the anodic current density values and the anodic Tafel slopes were almost the same with or without inhibitor could be related to an absence in a change in the anodic reaction mechanism. For the uninhibited solution, the steel passive zone was very narrow, only a few milivolts wide, with an Epit value close to 544 mV and an Ipass value was around 12,590 A/cm2, but with inhibitor the Epit value increased and the Ipass value decreased for almost two orders of magnitude lower. With increasing the inhibitor concentration the Ipass value increased, but in all cases it was lower than that value obtained for the uninhibited solution for almost one order of magnitude, and the Epit value remained higher than that for the blank solution. Thus, the presence of the inhibitor clearly reacts with the environment and the steel to form adherent, compact, insoluble protective corrosion products improving the steel passive film properties formed in the uninhibited solution.. If we take the Icorr value as a reference parameter, all the inhibitor efficiency values become negatives, indicating an increase in the Icorr value with the addition of the inhibitor. However, if we use the Ipas value as a reference parameter, we obtain the lowest inhibitor efficiency value when 600 ppm of inhibitor are added, and 84% with both 800 and 1000 ppm. Additionally, the cathodic Tafel slopes are

Figure 5. Effect of the acetonic extract concentration of Rosmarinus officinalis in the polarization curves for carbon steel in 0.5 M H2SO4.

markedly more affected than the anodic one by the addition of the inhibitor, thus, it could be said that although Rosmarinus officinalis acts as a mixed type of inhibitor it behaves more cathodically than anodically. This indicates that Rosmarinus officinalis inhibits more the hydrogen evolution than the carbon steel dissolution reaction.

When the hexanic extract was used, Figure 6, polarization curves still displayed an active-passive behavior, the Ecorr value was affected this time shifting most of the times towards nobler values except with the addition of 100 ppm which cloud be related to the adsorption of the organic compound at the active sites of the electrode surface, retarding the corrosion reaction [33]. The Icorr value did not decrease with an increase in the inhibitor concentration up to 200 ppm, but with a further increase in the inhibitor concentration the corrosion rate decreased, indicating a change in the anodic reaction mechanism (iron dissolution), corroborated by a decrease in the anodic Tafel slope with increasing concentration of Rosmarinus officinalis. This lowering of the anodic Tafel slope has been interpreted by some authors [33,]">34] as being due to 1) the adsorption of Rosmarinus officinalis at lower concentrations (energy effect), 2) a change in the mechanism reaction, and 3) the desorption of Rosmarinus officinalis at higher concentrations. In all cases, except with the addition of 400 or 600 ppm of inhibitor, the anodic current density values were decreased when the inhibitor was added; additionally, the cathodic current density values were decreased at all cases except when 800 ppm of inhibitor were added and the cathodic Tafel slope increased more markedly than the anodic one, indicating that the hydrogen evolution reaction is diminished exclusively by the surface blocking effect of Rosmarinus officinalis. The Epit value increased and the Ipas decreased, improving, thus, the passive film proper-

Figure 6. Effect of the hexanic extract concentration of Rosmarinus officinalis in the polarization curves for carbon steel in 0.5 M H2SO4.

ties, and thus, if we use this parameter as reference, the inhibitor efficiency reached high values between 81 and 96%.

Finally, when the methanolic extract was used, the polarization curves showed an active-passive behavior, Figure 7, shifting the Ecorr value towards less negative values and the Icorr value decreased as the inhibitor concentration increases. The passivation current density value slightly decreased but this time it was not affected as it was either with the acetonic or hexanic extracts, decreasing its value more than two orders of magnitude. At low catodic overpotentials, a limiting current density value can be observed, which could be due to the oxygen reduction reaction, and at higher cathodic overpotentials the increase in the cathodic current density is due to the hydrogen evolution reaction. Inhibitor efficiency values calculating Icorr increased with increasing the inhibitor concentration, but if we use the Ipas values, very low or even negative values are obtained this time, indicating that little effect in the passive film properties as compared as the effect done by the acetonic or hexanic extracts. Both the cathodic and anodic Tafel slopes were affected in this case, indicating that now the inhibitor is acting as a mixed type of inhibitor, indicating that inhibitor affects both the hydrogen evolution and the anodic dissolution reaction.

3.3. Impedance Measurements

The effect of the acetonic extract of Rosmarinus officinalis concentration in the Nyquist diagrams for carbon steel in0.5 M H2SO4 is shown in Figure 8. For the blank, uninhibited solution, EIS data describe at all frequencies a single depressed, capacitive loop, with its center at the real axis, indicative of a corrosion process controlled from the metal to the electrolyte through the double elec-

Figure 7. Effect of the hexanic extract concentration of Rosmarinus officinalis in the polarization curves for carbon steel in 0.5 M H2SO4.

Figure 8. Effect of the acetonic extract concentration of Rosmarinus officinalis in the Nyquist diagrams for carbon steel in 0.5 M H2SO4.

trochemical layer. The capacitive time constant at high frequencies is attributed to the reactions involved in the formation of the oxide layer [35,]">36] or to the oxide layer itself [37,]">38]. As soon as the Rosmarinus officinalis is added to solution, the Nyquist diagrams increase in diameter with the inhibitor concentration, indicating a more protective film formation, which probably reflects physical blocking of the steel surface due to the adsorption of the inhibitor, reaching the highest diameter with 1000 ppm. The capcitive properties of systems considered in presence of Rosmarinus officinalis are attributable to the dielectric properties of the surface (metaloxide-inhibitor) adsorption layer. The loop or semicircle diameter corresponds to the double layer or charge transfer resistance, Rct, equivalent to the polarization resistance, Rp, and thus, inversely proportional to the corrosion current density value, Icorr. Thus, we can see from Figure 8 that the highest Rct value was around 134 ohm cm2 obtained with the addition of 1000 ppm, whereas the lowest value, that for the uninhibited solution, was 68 ohm cm2. This increase in the Rct value is due to the adsorption of Rosmarinus officinalis and, after reacting with the steel and/or the environment form adherent, passive corrosion products.

When the hexanic extrac of Rosmarinus officinalis is used, Figure 9, Nyquist data describe a single depressed, capacitive semicircle, with its center at the real axis, indicating that the corrosion process is controlled by the charge transfer from the steel to the electrolyte through the double electrochemical layer. As soon as the inhibitor is added, the semicircle diameter increases and this time, the biggest semicircle diameter was obtained with the addition of 1000 ppm, with a value was close to 360 ohm cm2, almost 5 times bigger than that obtained for both the uninhibited, blank solution (68 ohm cm2) or with the acetonic extract. This is due to the adsorption of the Rosmarinus officinalis on the steel surface, which, according to polarization curves shown in Figure 6 form an adherent, protective passive film which protects the steel from the acidic environment. Finally, when the methanolic extract of Rosmarinus officinalis is used, Figure 10, Nyquist data describe, again, a single depressed, capacitive-like semicircle at all frequencies, with their centers in the real axis, and with their diameter increasing with the inhibitor concentration, reaching its highest value when 1000 ppm of inhibitor are added, but this time the Rct value was only 160 ohm cm2, higher than that obtained with the acetonic extract, but lower than that obtained with the hexanic extract. Inhibition efficiencies [IE(%)] can be determined according to the following equation:

(8)

where Rct,b is the charge transfer resistance without inhibitor and Rct,i is the charge transfer resistance with inhibitor. In the three cases it increases with the inhibitor concentration, obtaining the highest inhibitor efficiency with the addition of 1000 ppm, 81%, with the use of the hexanic extract. These results are in agreement with those obtained by El Ouarichi et al. [31] who used Rosmarinus officinalis essential oil obtained by hydrodestillation as corrosion inhibitor for C38 steel in 0.5 M H2SO4 and found that it was a good corrosion inhibitor, with its efficiency increasing with the oil contents, reaching the highest efficiency, 61%, with a concentration of 1000 ppm. They also found that the Rosmarinus officinalis essential oil acted as a cathodic type of inhibitor [31].

In order to see the inhibitor film stability, some long term EIS tests were performed during 24 hours and Figure 11 shows the results for the blank, uninhibited solution. It can be seen thatNyquist semicircle diameter increases with time and reaches its highest value, 350

Figure 9. Effect of the hexanic extract concentration of Rosmarinus officinalis in the Nyquist diagrams for carbon steel in 0.5 M H2SO4.

Figure 10. Effect of the methanolic extract concentration of Rosmarinus officinalis in the Nyquist diagrams for carbon steel in 0.5 M H2SO4.

Figure 11. Variation of the Nyquist diagrams with time for carbon steel after 24 h of exposure to 0.5 M H2SO4 in absence of Rosmarinus officinalis.

ohm cm2, almost 4 times bigger than at the beginning of the test, after 4 hours of testing, and, after that time, the semicircle diameter decreases, thus, indicating that the lowest corrosion rate is reached after 4 hours of testing. For the hexanic extract, Figure 12, it can be seen that the semicircle diameter increases from a value close to 200 ohm cm2 at the beginning of the test, up to 70,000 ohm cm2 after 2 hours of testing, but it decreases as time increases, remaining close to 1000 ohm cm2 throughout the experiment. The results for all the extracts are summarized in Figure 13, where it can be seen that the Rct value for both the acetonic and methanolic extracts decrease after about 6 hours or so reaching the same values obtained for the uninhibited solution, and that for the hexanic extract remains at least one order of magnitude higher than that obtained with the uninhibited solution throughout the testing time, producing, thus, a very stable protective film.

The double-layer capacitance (Cdl) was calculated from the equation below:

(9)

where fmax is the frequency value at which the imaginary component of the impedance is maximal. A Cdl value of 980 F cm−2 was found for the carbon steel electrode in the blank 0.5 M H2SO4 solution and it decreases when the inhibitor is added. The double layer formed at the electrode–solution interface is considered as an electric capacitor, whose capacitance decreases due to the displacement of water molecules and other ions originally adsorbed on the electrode by the Rosmarinus officinalis molecules, forming a protective film [6,]">7]. The Nyquist plots shown for mild steel electrodes immersed in 0.5 M H2SO4 solutions containing different concentrations of Rosmarinus officinalis in Figures 8-10 depict a behavior analogous to that observed in solutions without the inhibitor, indicating that mainly a charge transfer process controls the corrosion of carbon steel. The thickness of the formed film increases with increasing concentrations of the inhibitor, since more Rosmarinus officinalis adsorbs on the surface, resulting in lower Cdl values. Such behavior and this data interpretation are in good agreement with previous reports on the inhibition of low carbon steel corrosion by succinic acid [39].

3.4. Extract Characterization

The infrared (IR) spectra for the different extracts, Figure 14, show that the main bands found for the total hexane extract are 3371 cm−1, assigned to the vibration of (O−H) bond. The presence of the hydroxyl group was assigned to the vibration of bond at 1684 cm−1 corresponding to carbon-oxygen or carbonyl group (C=O); and one more vibration on 1016 cm−1 due to a (C−O) single bond. These bands describe the carboxylic acid group; it

Figure 12. Variation of the Nyquist diagrams with time for carbon steel after 24 h of exposure to 0.5 M H2SO4 with 1000 ppm of the hexanic extract of Rosmarinus officinalis.

Figure 13. Variation of the Rct value with time for carbon steel after 24 h of exposure to 0.5 M H2SO4 without and with 1000 ppm of Rosmarinus officinalis.

Figure 14. Infrared spectra of the different Rosmarinus officinalis extracts.

was confirmed that the vibration of 1455.17 cm−1 corresponds to a (O-H) bond of carboxylic acid. At 1370 and 1252 cm−1 the vibrations refers to (-C-CH3) bond and (C-H) vinylidene group. Other vibrations at 1002 and 716 cm−1 showed the presence of (-CH-) and (-CH2-) groups respectively. It was found at 1177 and 1031 cm−1 two vibrations which correspond to a (C-O) carbonyl conjugate aromatic ring and (C-O) for primary alcohol respectively. The non-polar extract of Rosemary contains several organic compounds as fatty oils, triglycerides, mono and diterpenes of natural products at rather different concentrations [40]. The hexanic extract is mainly made of compounds with saturated, aliphatic chains, however, it is also evident the presence of (O-H), (C-H) and (C=O) bonds, which suggests the presence of carboxylic acids. On the other hand, the acetonic and methanolic extracts are made mainly of carbonic, alcoholic (both primary and phenolic type and carboxylic groups, which contain in their structure (C-C) bonds, aromatic rings and (-CH2-) and (-CH3) groups. All these characteristics correspond to compounds such as flavonoids. Rosmarinic acid, carnosic acid and carnasol are the major bioactive constituents in rosemary leaves responsible for the antioxidant, anti-inflammatory, and anti-carcinogenic effect [26-28]. A number of flavonoids, including eriocitrin, hesperidin, diosmin, and homoplantaginin have been identified from rosemary. The antioxidant activity of several flavonoids found in rosemary such as cirsimaritin and genkwanin has also been reported [41]. In the phenolic diterpenoid fraction of Rosmarinus officinalis, carnosic acid is the major component [25,40]. In addition, Bai et al. [42] isolated 15 new flavonids, including rosmarinic acid, carnasol and carnosic acid that are responsible for the bioactivities on the basis of the reported anti-inflammatory and cancer preventive characteristics of rosemary. Thus, these results show that the inhibitory effect of Rosmarinus officinalis extract on the corrosion of 1018 carbon steel in 0.5 M H2SO4 is due to the presence of compounds such as flavonoids, passivating inhibitors that have been used satisfactorily in many corrosive environments [30,31].

4. Conclusion

Rosmarinus officinalis extract has been proved to inhibit the corrosion of carbon steel in 0.5 M H2SO4 with its efficiency increasing with the extract concentration in the range between 100 - 1000 ppm. Among the three different extract solvents, the hexanic extract showed a higher inhibition efficiency than that for the acetonic and methanolic. The inhibitive action of the extract was attributed to the adsorption of its components to the steel surface which followed a Frumkin adsorption isotherm. The chemisorption aspect of the adsorption process was well-established by the value of the adsorption freeenergy value of −37.4 kJ∙mol−1. Polarization curves showed that the passivation current density value was substantially decreased by the addition of Rosmarinus officinalis extract. IR results indicated that the inhibitory effect of this extract is due to the presence of organic compounds such as flavonoids which act as passivating inhibitors.

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NOTES

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