# Corrosion inhibition of carbon steel in hydrochloric acid 0.5 M by hexa methylene diamine tetramethyl-phosphonic acid

R. Laamari, J. Benzakour, F. Berrekhis, A. Abouelfida, A. Derja, Didier Villemin

► To cite this version:

R. Laamari, J. Benzakour, F. Berrekhis, A. Abouelfida, A. Derja, et al., Corrosion inhibition of carbon steel in hydrochloric acid 0.5 M by hexa methylene diamine tetramethyl-phosphonic acid. Arabian Journal of Chemistry, 2010, 4 (3), pp.271-277. 10.1016/j.arabjc.2010.06.046. hal-01830126

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King Saud University

Arabian Journal of Chemistry

www.ksu.edu.sa

www.sciencedirect.com

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ORIGINAL ARTICLE

# Corrosion inhibition of carbon steel in hydrochloric acid 0.5 M by hexa methylene diamine tetramethyl-phosphonic acid

R. Laamari<sup>a,*</sup>, J. Benzakour<sup>a</sup>, F. Berrekhis<sup>b</sup>, A. Abouelfida<sup>a</sup>, A. Derja<sup>a</sup>, D. Villemin<sup>c</sup>

Received 23 June 2010; accepted 24 June 2010

Available online 3 July 2010

KEYWORDS

Corrosion;

Inhibition;

Impedance;

Adsorption;

Phosphonic acid

**Abstract** The efficiency of hexa methylene diamine tetra methyl-phosphonic acid (HMDTMP), as corrosion inhibitor for carbon steel in 0.5 M HCl, has been determined by gravimetric and electro-chemical measurements. Polarization curves indicate that the compound is mixed inhibitor, affecting both cathodic and anodic corrosion currents. Adsorption of HMDTMP derivatives on the carbon steel surface is in agreement with the Langmuir adsorption isotherm model, and the calculated Gibbs free energy value confirms the chemical nature of the adsorption. EIS results show that the charge in the impedance parameters (*R*<sub>i</sub> and *C*<sub>d</sub>) with concentrations of HMDTMP is indicative. The adsorption of this molecule leads to the formation of a protective layer on carbon steel surface. The electrochemical results have also been supplemented by surface morphological studies. © 2010 King Saud University. Production and hosting by Elsevier B.V. All rights reserved.

1878-5352 © 2010 King Saud University. Production and hosting by Elsevier B.V. All rights reserved.

Peer review under responsibility of King Saud University.
doi:10.1016/j.arabjc.2010.06.046

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ELSEVIER

**1. Introduction**

Acid solutions are widely used in industry, chemical cleaning, descaling and pickling, which lead to corrosive attack. Therefore, the consumption of inhibitors to reduce corrosion has increased in recent years. The corrosion control by inhibitors is one of the most common, effective and economic methods to protect metals in acid media (Benali et al., 2005; Fouda et al., 2006). The majority of the well-known inhibitors are organic compounds containing heteroatoms, such as oxygen, nitrogen or sulphur, and multiple bonds, which allow an adsorption on the metal surface (Bereket et al., 2002; Ali

<footnote><sup>a</sup> Laboratoire d'Electrochimie et de Chimie Analytique, Université Cadi Ayyad, Faculté des Sciences Semlalia, BP 2390, Marrakech, Morocco</footnote>

<footnote><sup>b</sup> Laboratoire de Chimie Physique, Ecole Normale Supérieure, BP 2400 Marrakech, Morocco</footnote>

<footnote><sup>c</sup> École Nationale Supérieure d'Ingénieurs de Caen UMR 6507 CNRS, Bd Maréchal Junin 14050 Caen Cedex, France</footnote>

<footnote>* Corresponding author.
E-mail address: r.laamari@ucam.ac.ma (R. Laamari).</footnote>
et al., 2003). It has been observed that the adsorption of these inhibitors depends on the physico-chemical properties of the functional groups and the electron density at the donor atom. The adsorption occurs due to the interaction of the lone pair and/or π-orbitals of inhibitor with d-orbitals of the metal surface atoms, which evokes a greater adsorption of the inhibitor molecules onto the surface, leading to the formation of a corrosion protection film (Olivares et al., 2006; Trasatti, 1992; Popova et al., 2003). The adsorption is also influenced by the structure and the charge of metal surface, and the type of testing electrolyte (Lagrenee et al., 2002; Tamil Selvi et al., 2003; Kissi et al., 2006; El Ashry et al., 2006; Vosta and Eliasek, 1971). A large number of organic compounds were studied as corrosion inhibitors for iron and low alloyed steels (Lagrenee et al., 2002; Quraishi et al., 2008; Shukla et al., 2009). Most of them are toxic in nature. This has led to the development of non-toxic corrosion inhibitors such as Tryptamine (Moretti et al., 2004), Cefazolin (Singh and Quraishi, 2010), Mebendazole (Ahamad and Quraishi, 2010), and Cefatrexyl (Morad, 2008), Tryptamine (Lowmunkhong et al., 2010), Cefotaxime (Shukla and Quraishi, 2009), sulfa drugs (El-Naggar, 2007), 2,3-diphenylbenzoquinoxaline (Obot and Obi-Egbedi, 2010).

Phosphonates, which were originally introduced as scale inhibitors in water treatment, were later proved to be good corrosion inhibitors also (Awad and Turgoose, 2004). Their impact on environment was reported to be negligible at the concentration levels used for corrosion inhibition (Awad, 2005; Jaworska et al., 2002). There are excellent sequestering agents for electroplating, chemical plating, degreasing and cleaning (Frang, 1983). The use of phosphonic acids for the protection of carbon steel from corrosion in different media has been the subject of works reported by several researchers (Choi et al., 2002; Gonzalez et al., 1996; Fang et al., 1993; Telegdi et al., 2001; Amar et al., 2003, 2008).

The objective of the present work is to investigate the inhibitor effects of hexa methylene diamine tetra methyl-phosphonic acid (HMDTMP) on carbon steel corrosion in 0.5 M hydrochloric acid (HCl) using weight loss, potentiodynamic polarization. Electrochemical impedance spectroscopy (EIS), and scanning electronic microscope (SEM).

## 2. Experimental

### 2.1. Materials and solutions

The corrosion inhibitor studied hexa methylene diamine tetra methyl-phosphonic acid (HMDTMP) was synthesized by the micro-wave technique. The obtained product is purified and characterized by ¹H NMR, ¹³C NMR, ³¹P NMR and IR spectroscopic methods. The molecular structure is shown in Fig. 1.

The aggressive solutions made of AR grade 37% HCl. Appropriate concentrations of acid were prepared using double distilled water. The inhibitors were added to freshly prepared 0.5 M HCl in the concentration range of 5 × 10⁻⁴–4 × 10⁻³ M.

Electrochemical experiments were performed using a conventional three electrode cell assembly. The working electrode is a carbon steel rotating disk with surface area of 1 cm². The electrode pre-treatment was carried out by polishing mechanically with silicon carbide abrasive paper up to 1200 grade. Then, it was rinsed with acetone and finally washed thoroughly

<figure><img src="image_5.png" /><figcaption>**Figure 1** Structure of hexa methylene diamine tetra methyl-phosphonic acid (HMDTMP).</figcaption></figure>

with distilled water. A saturated calomel electrode (SCE) was used as the reference electrode. All the measured potentials presented in this paper are referred to this electrode.

The counter electrode was a platinum plate with a surface area of 2 cm².

### 2.2. Methods

#### 2.2.1. Gravimetric measurements

The tests were carried out in a glass vessel containing 250 mL of 0.5 M HCl with and without addition of different concentrations of inhibitor at room temperature (25 °C). After immersion times (24 h), the specimens were withdrawn, rinsed with doubly distilled water, washed with acetone, dried and weighted.

#### 2.2.2. Electrochemical measurements

Two electrochemical techniques, namely DC-Tafel slope and AC-electrochemical impedance spectroscopy (EIS), were used to study the corrosion behaviour. All experiments were performed in one-compartment cell with three electrodes connected to voltalab 10 (Tacussel–Radiometer PGZ 100) system controlled by the Tacussel Volta master 4 corrosion analysis software model.

Polarization curves were obtained by changing the electrode potential automatically from –800 to +200 mV versus open circuit potential ($E_{ocp}$) at a scan rate of 1 m Vs⁻¹.

EIS measurements were carried out under potentiostatic conditions in a frequency range from 100 kHz to 0.1 Hz, with amplitude of 10 mV peak-to-peak, using AC signal at open circuit potential (OCP) $E_{ocp}$. All experiments were measured after immersion for 60 min in 0.5 M HCl with and without addition of inhibitor.

#### 2.2.3. Surface morphology

For morphological study, surface features (0.9 × 0.8 × 0.2 cm) of carbon steel were examined after exposure to 0.5 M HCl solutions after one day with and without inhibitor. JEOL JSM-5500 scanning electron microscope was used for this investigation.

## 3. Results and discussions

### 3.1. Weight loss studies

The weight loss results regarding the corrosion parameters for carbon steel in 0.5 M HCl solution in the absence and presence
of different concentrations of the inhibitor are summarized in Table 1.

The inhibition efficiency (IE%) was determined by using the following equation:

$$IE\% = \frac{W_0 - W}{W_0} \times 100 \quad (1)$$

where W and W₀ are the corrosion rates of carbon steel with and without the inhibitor respectively.

It can be seen that corrosion rate values in 0.5 M HCl solution containing HMDTMP, decreased as the concentration of inhibitor increased. Maximum inhibition efficiency was shown at 10⁻³ M of HMDTMP. This result reveals that the compound under investigation is fairly efficient inhibitor for carbon steel dissolution in 0.5 M HCl solution. The inhibition of corrosion of carbon steel by HMDTMP can be explained in terms of adsorption on the metal surface (Singh and Quraishi, 2010; Ahamad and Quraishi, 2010; Morad, 2008; Lowmunkhong et al., 2010; Shukla and Quraishi, 2009). This compound can be adsorbed on the carbon steel surface by the interaction between lone pairs of electrons of nitrogen, oxygen and phosphorus atoms of the inhibitor and the metal surface. This process is facilitated by the presence of vacant orbital of low energy in iron atom, as observed in the transition group elements (Badr, 2009; Sastri, 1998).

<table><caption>**Table 1** Weight loss data of mild steel in 0.5 M HCl for various concentrations of HMDTMP.</caption><thead><tr><th>C (mol dm<sup>-3</sup>)</th><th>w (mg cm<sup>-2</sup> h<sup>-1</sup>)</th><th>IE (%)</th></tr></thead><tbody><tr><td>Blank</td><td>0.34</td><td>—</td></tr><tr><td>5 &times; 10<sup>-4</sup></td><td>0.13</td><td>62</td></tr><tr><td>10<sup>-3</sup></td><td>0.07</td><td>79</td></tr><tr><td>2 &times; 10<sup>-3</sup></td><td>0.03</td><td>91</td></tr><tr><td>4 &times; 10<sup>-3</sup></td><td>0.01</td><td>97</td></tr></tbody></table>

## 3.2. Polarization measurements

Fig. 2 shows the influence of HMDTMP on the cathodic and anodic potentiodynamic polarization curves of carbon steel in 0.5 M HCl. Electrochemical corrosion parameters such as corrosion potential Ecorr, cathodic Tafel slopes bc and corrosion current density icorr, obtained by Tafel extrapolation of the cathodic curves to the open circuit corrosion potentials, are collected in Table 2. The inhibition efficiency is calculated by the following expression:

$$IE\% = \frac{i_{corr}^{0} - i_{corr}}{i_{corr}^{0}} \quad (2)$$

where icorr and icorr are the corrosion current density values without and with inhibitor, respectively.

The obtained results indicate that the cathodic and anodic curves exhibit Tafel-type behaviour. Additionally, the form of these curves is very similar either in the cathodic or in the anodic side, which indicates that the mechanisms of carbon steel dissolution and hydrogen reduction apparently remain unaltered in the presence of the inhibitor (Badr, 2009; Sastri, 1998; Lagreeve et al., 2002). The addition of HMDTMP compound decreased both the cathodic and anodic current densities and acts as a mixed-type inhibitor in 0.5 M HCl with overall shift of Ecorr to more negative values with respect to

<table><caption>**Table 2** Potentiodynamic polarization parameters of mild steel in 0.5 M HCl for various concentrations of HMDTMP.</caption><thead><tr><th>C (mol dm<sup>-3</sup>)</th><th>E<sub>corr</sub> (mV/SCE)</th><th>I<sub>corr</sub> (µA cm<sup>-2</sup>)</th><th>b<sub>c</sub> (mV dec<sup>-1</sup>)</th><th>IE (%)</th></tr></thead><tbody><tr><td>Blank</td><td>-426</td><td>641</td><td>-100</td><td>—</td></tr><tr><td>5 &times; 10<sup>-4</sup></td><td>-449</td><td>197</td><td>-96</td><td>69</td></tr><tr><td>10<sup>-3</sup></td><td>-493</td><td>100</td><td>-95</td><td>84</td></tr><tr><td>2 &times; 10<sup>-3</sup></td><td>-507</td><td>52</td><td>-92</td><td>91</td></tr><tr><td>4 &times; 10<sup>-3</sup></td><td>-514</td><td>25</td><td>-95</td><td>93</td></tr></tbody></table>

<figure><img src="image_6.png" /><figcaption>**Figure 2** Potentiodynamic polarization curves for mild steel in 0.5 M HCl containing different concentrations of HMDTMP.</figcaption></figure>
the open circuit potential. The corrosion current value $I_{corr}$ is decreased from 641 µA cm⁻² of the blank to 25 µA cm⁻² corresponding to the addition of 4 × 10⁻³ M inhibitor. Furthermore, we notice that the inhibition efficiency increased with inhibitor concentration reaching a maximum value of 96% at 4 × 10⁻³ M HMDTMP. The results also show that the slopes of cathodic Tafel lines $b_c$ were slightly changed on increasing the concentration of the tested compound. This indicates that there is no change of the mechanism of inhibition in the presence and absence of inhibitors. We noted also that the results found from the weight loss are in good agreement with the polarization curves.

### 3.3. Adsorption isotherm

Basic information on the interaction between the inhibitor and the carbon steel can be provided by the adsorption isotherm. Two main types of interaction can describe the adsorption of the organic compound: physical adsorption and chemisorption. These are influenced by the chemical structure of the inhibitor, the type of the electrolyte, the charge and nature of the metal.

The plots of $C_{inh}^°$ against $C_{inh}$ for the inhibitor at 298 K were straight lines (Fig. 3) indicating that the inhibitor obeys Langmuir adsorption isotherm given by the equation:

$$ \frac{C_{\text{inh}}}{\theta} = \frac{1}{K_{\text{ads}}} + C_{\text{inh}} \quad (3) $$

where C is the molar concentration of inhibitor, $K_{ads}$ is the equilibrium constant of the adsorption process and $θ$ is the degree of coverage by inhibitor molecules on the metal surface, calculated from the relationship:

$$ \theta = \frac{w_0 - w}{w_0} \quad (4) $$

Adsorption equilibrium constant ($K_{ads}$) and free energy of adsorption ($ΔG_{ads}°$) were calculated using Eq. (3) and the relationships (Shukla and Quraishi, 2009):

$$ \Delta G_{\text{ads}}^{\circ} = -2.303RT \log(55.5 K_{\text{ads}}) \quad (5) $$

The value of 55.5 is the concentration of water in solution expressed in mol dm⁻³.

It generally accepted that the values of ($ΔG_{ads}°$) up to -20 kJ mol⁻¹, the types of adsorption were regarded as physi-

<figure><img src="image_7.png" /><figcaption>**Figure 3** Langmuir adsorption isotherm model of HMDTMP on the carbon steel surface at 298 K.</figcaption></figure>

sorption, the inhibition acts due to the electrostatic interaction between the charged molecules and the charged metal, while the values around -40 kJ mol⁻¹ or smaller, were seen as chemisorption, which is due to the charge sharing or a transfer from the inhibitor molecules to the metal surface to form cova- lent bond (Badr, 2009; Sastri, 1998; Lagreeve et al., 2002; Szlarska-Smialowska and Mankovski, 1978; Yurt et al., 2006). In this study, the free energy of adsorption ($ΔG_{ads}°$) and adsorption equilibrium constant ($K_{ads}$) are found to be -28.107 kJ mol⁻¹ and 1.42 × 10³ mol dm⁻³, respectively. The higher value of ($K_{ads}$) and the negative and low value of $ΔG_{ads}°$ indicate the spontaneous adsorption of the inhibitor and are strong interaction with the metal surface (Wahdan et al., 2002; Touhami et al., 2000; Bouklah et al., 2006). It suggested that the adsorption mechanism of the HMDTMP on carbon steel in 0.5 M HCl solution was typical of chemisorptions.

### 3.4. Electrochemical impedances spectroscopy

Electrochemical impedance spectroscopy (EIS) is a well-established and powerful tool in the study of corrosion. Surface properties, electrode kinetics and mechanistic information can be obtained from the impedance diagrams (Lorenz and Mansfeld, 1981). Fig. 4 shows the Nyquist plot obtained at the open circuit potential after immersion for 1 h. Table 3 summarizes the impedance data extracted from EIS experiments carried out both in the absence and presence of increasing concentrations of HMDTMP.

The inhibition efficiency got from the charge-transfer resistance is calculated by the following expression

$$ IE\% = \frac{R_t - R_t^0}{R_t} \times 100 \quad (6) $$

$R_t$ and $R_t^0$ are the charge-transfer resistance values with and without inhibitor, respectively.

The semicircular appearance of Nyquist plot shows that the charge-transfer process takes place during dissolution (Muralidharan et al., 1997). From the curves it is clear that the impedance response for carbon steel in uninhibited acid solution has significantly changed after the addition of inhibitor. The simplest fitting is represented by Rundles equivalent circuit (Fig. 5), which is a parallel combination of the charge-transfer resistance ($R_t$) and a constant phase element, CPE$_{dl}$, both in series with the solution resistance ($R_s$).

The fact that impedance diagrams have an approximately semicircular appearance shows that the corrosion of carbon steel in 0.5 M HCl is controlled by a charge-transfer process.

Data in Table 3 show that the $R_s$ values are very small compared to the $R_t$ values. By increasing the inhibitor concentrations, the $R_t$ values increase and the $C_{dl}$ values decrease, which causes an increase of inhibition efficiency. The most pronounced effect and the highest $R_t$ is obtained by concentration 4 × 10⁻³ M of inhibitor.

The decrease in $C_{dl}$ can result from the decrease of the local dielectric constant and/or from the increase of thickness of the electrical double layer, which suggests an adsorption of the inhibitor molecules on the carbon steel surface (Singh and Quraishi, 2010). The thickness of the protective layer $δ$, is related to $C_{dl}$ by the following equation (Bentiss et al., 2002):

$$ \delta = \frac{\varepsilon_0 \times \varepsilon_r}{C_{dl}} \quad (7) $$
<figure><img src="image_8.png" /><figcaption>**Figure 4** Nyquist plot for MS in 0.5 M HCl in the presence and absence of different concentrations of HMDTMP.</figcaption></figure>

where $ε_0$ is the dielectric constant and $ε_r$ is the relative dielectric constant. McCafferty and Hackerman (1972) attributed the change in $C_{dl}$ values to the gradual replacement of water molecules by the adsorption of the organic molecules on the metal surface, decreasing the extent of metal dissolution.

The increase in the $α_{dl}$ values in 0.5 M HCl in the presence of increasing HMDTMP concentrations may be a result of decreasing surface heterogeneity due to inhibitor adsorption on the most active adsorption sites (Popova and Christov, 2005).

The impedance data confirm the inhibition behaviour of the inhibitor with that obtained from other techniques. It can be concluded that the inhibition efficiency found from weight loss, polarization curves, and electrochemical impedance spectroscopy measurements are in good agreement.

<table><caption>**Table 3** Impedance measurements and inhibition efficiency for carbon steel in 0.5 M HCl containing different concentrations of HMDTMP.</caption><thead><tr><th>C (mol dm<sup>-3</sup>)</th><th>R<sub>s</sub> (Ω cm<sup>2</sup>)</th><th>C<sub>dl</sub> (µF/cm<sup>2</sup>)</th><th>α<sub>dl</sub></th><th>R<sub>p</sub> (Ω cm<sup>2</sup>)</th><th>IE (%)</th></tr></thead><tbody><tr><td>Blank</td><td>1</td><td>740</td><td>0.83</td><td>235</td><td>—</td></tr><tr><td>5 × 10<sup>-4</sup></td><td>1.6</td><td>221</td><td>0.83</td><td>770</td><td>69</td></tr><tr><td>10<sup>-3</sup></td><td>1.3</td><td>106</td><td>0.85</td><td>1380</td><td>83</td></tr><tr><td>2 × 10<sup>-3</sup></td><td>3.7</td><td>40.3</td><td>0.87</td><td>3390</td><td>93</td></tr><tr><td>4 × 10<sup>-3</sup></td><td>4</td><td>9.6</td><td>0.89</td><td>4872</td><td>95</td></tr></tbody></table>

<figure><img src="image_9.png" /><figcaption>**Figure 5** Equivalent circuit used to fit the EIS data of carbon steel in 0.5 M HCl in the presence and absence of HMDTMP.</figcaption></figure>

### 3.5. SEM investigation

Fig. 6 shows the results of the SEM analysis on the topography of the samples examined. Fig. 6a presents the micrograph

<figure><img src="image_10.png" /><figcaption>**Figure 6** SEM micrographs of samples after immersion in 0.5 M HCl (a) without (b) with $4 × 10^{-3}$ M HMDTMP.</figcaption></figure>
obtained of the carbon steel sample after exposure to the corrosive environment, and Fig. 6b reveals the surface on the carbon steel after exposure to the 0.5 M HCl solution containing the inhibitor HMDTMP at $4 \times 10^{-3}$ M concentration. It is important to stress out that when the compound is present in the solution, the morphology of the carbon steel surface are quite different from the previous one. We noted the formation of a film, which is distributed in a random way on the whole surface of the metal. This may be interpreted as due to the adsorption of the inhibitor on the metal surface incorporating into the passive film in order to block the active site present on the carbon steel surface.

## 4. Mechanism of inhibition

A clarification of mechanism of inhibition requires full knowledge of the interaction between the protective compound and the metal surface. Many of the organic corrosion inhibitors have at least one polar unit with atoms of nitrogen, sulphur, oxygen and phosphorous. It has been reported that the inhibition efficiency decreases in the order to O < N < S < P. Also, iron is well known for its co-ordination affinity to heteroatom bearing ligands (Shorky et al., 1998). From the previous results of various experimental techniques used, it was concluded that hexa methylene diamine tetra methyl-phosphonic acid inhibit the corrosion of carbon steel in 0.5 M HCl by adsorption at the metal/solution interface.

In hydrochloric acid medium, inhibitor molecules exist as protonated species and it is assumed that $Cl^-$ ions are first adsorbed on the metal surface and the net positive charge on the metal surface enhances the specific adsorption of chloride ions (Blomgren and Bockris, 1959). The adsorption of the cationic forms of inhibitor would be limited by the concentration of the anions on the metal surface. The hexa methylene diamine tetra methyl-phosphonic acid molecules may also be adsorbed via donor-acceptor interactions between the unshared electrons pairs of the heteroatoms (P, N, O) to form a bond with the vacant d-orbitals of the iron atom on the metal surface, which act as a Lewis acid, leading to the formation of a protective adsorbed film (Ahamad and Quraishi, 2010).

## 5. Conclusion

1. All measurements showed that the hexa methylene diamine tetra methyl-phosphonic acid has excellent inhibition properties for the corrosion of carbon steel in 0.5 M HCl solution. The weight loss measurements show that the inhibition efficiency increases with HMDTMP concentration and reaches its highest value (97%) at $4 \times 10^{-3}$ M concentration.

2. Potentiodynamic polarization measurements showed that the HMDTMP acts as mixed-type inhibitor. EIS measurements also indicate that the inhibitor increases the charge-transfer resistance and show that the inhibitive performance depends on adsorption of the molecules on the metal surface.

3. The inhibition efficiencies determined by weight loss, potentiodynamic polarization and EIS techniques are in reasonably good agreement.

4. The adsorption model obeys the Langmuir isotherm at 298 K. The negative value of $\Delta G^\circ_{ads}$ indicate that the adsorption of the inhibitor molecule is a spontaneous

process and an adsorption mechanism is typical of chemisorption.

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