Experimental and Theoretical Study of Corrosion Inhibition of Mild Steel in 1 . 0 M HCl Medium by 2 (-4 ( hloro phenyl-1 H-benzo [ d ] imidazol )-1-yl ) phenyl ) methanone

The 2(-4(chloro phenyl-1Hbenzo[d]imidazol)-1-yl)phenyl)methanone (CBIPM) was synthesized and tested as a corrosion inhibitor for mild steel in 1.0 M HCl solution using electrochemical and spectroscopy measurements. Results obtained showed that this compound has a good inhibition properties for mild steel corrosion in acidic medium which its inhibition efficiency value reaches 98.9 % at 10-3 M. So, the potentiodynamic polarization curves showed that the CBIPM has a mixed type inhibitor. In addition, it is shown that the obtained results were confirmed by the UV-vis spectroscopic measurements. It is found that the inhibitor forms a complex with Fe2+ ion. On the other hand, the experimental results were completed by quantum chemical calculations using DFT method at the B3LYP/6-31G* level of theory. It is found that the theoretical and experimental results are in good agreement.


Introduction
Mild steel and its alloy have many industrial applications because of its easy availability, low cost, uncomplicated fabrication of it into water pipe lines 1,2 , cooling water systems 3 , boilers, etc… However, they are susceptible to different forms of corrosion inducted by several mediums.So, hydrochloric acid is the most difficult of the common acids to handle from the standpoints of corrosion and materials of constructions.Extreme care is required in the selection of materials to handle the acid by itself, even in relatively dilute concentrations or in process solutions containing appreciable amounts of hydrochloric acid.This acid is very corrosive to most of the common metals and alloys 4 .
However, various protection methods have been adopted; one of the frequently used measures is the use of organic compounds containing nitrogen, oxygen and sulphur atoms [5][6][7][8][9][10] .These compounds either can form a strong co-ordination bond with metal atom or a passive film on the metal surface 11 .It is still a continuous search for better or blend inhibitors to meet the demand of the industries.Hence, the benzimidazole derivatives are among the heterocyclic compounds which have more attention due to their applications in such varied fields as medicine.Indeed, it has been shown that the benzimidazole derivatives have an activity antimicrobial analgesic and anti-inflammatory 12 and have a good corrosion inhibition 13 .The selection criteria for various inhibitors include low concentration, stability in recirculation, cost effectiveness and low operational hazard.
We report here the effect of 2(-4( chloro phenyl-1Hbenzo[d]imidazol)-1-yl) phenylmethanone (CBIPM) addition, as a corrosion inhibitor for mild steel in 1.0 M using electrochemical and spectroscopy measurements.Indeed, we studied the correlation between the quantum chemical calculations and molecular structure.by cap containing five openings.Three of them were used for the electrodes.Before each experiment, the electrode was polished using emery paper from 40 to 1200 grades.After this, the electrode was cleaned with distillate water.
The corrosive solution (1.0 M HCl) was prepared by dilution of Analytical Grade 35 % HCl with distilled water and the temperature solution was adjusted to 298 ± 2 K.
The spectro-photometric method was carried out on the prepared mild steel samples after immersion in 1.0 M HCl without and with the addition of 10 -3 M of CBIPM at 298 ± 2 K for 8 days.All the spectra measurements were carried out using a Beckman DU640 UV/Vis spectrophotometer.

Electrochemical measurements
The electrochemical measurements were carried out using Volta lab (Tacussel-Radiometer PGZ 100) and controlled by Tacussel corrosion analysis software model (Voltamaster 4) at under static condition.The corrosion cell used had three electrodes; the reference electrode was a saturated calomel electrode (SCE), the platinum electrode was used as auxiliary electrode of surface area of 2 cm 2 and the working electrode was mild steel.All potentials given in this study were referred to this reference electrode.The working electrode was immersed in the test solution for 30 min to a establish steady state open circuit potential (Eocp).After measuring the E ocp , the electrochemical measurements were performed.All electrochemical tests have been performed in aerated solutions at 298 ± 2 K.The EIS experiments were conducted in the frequency range with high limit of 100 kHz and different low limit 0.1 Hz at open circuit potential, with 10 points per decade, at the rest potential, after 30 min of acid immersion, by applying 10 mV ac voltage peak-to-peak.Nyquist plots were made from these experiments.In order to extract the electrochemical parameters, the Z-view software was used.
After the AC impedance test, the potentiodynamic polarization measurements of mild steel substrate in inhibiting and uninhibited solution were scanned from cathodic to the anodic direction between -900 mV to -150 mV, with a scan rate of 1 mV s -1 .The potentiodynamic data were analysed using the polarization VoltaMaster 4 software.The linear Tafel segments of anodic and cathodic curves were extrapolated to the corrosion potential to obtain corrosion current densities (i corr ).From the polarization curves obtained, the corrosion current (i corr ) was calculated by curve fitting using the equation 14 : (1) where i corr is the corrosion current density (A cm -2 ), b a and b c are the Tafel constants of anodic and cathodic reactions (V -1 ), respectively.These constants are linked to the Tafel slopes β (V/dec) in usual logarithmic scale given by equation ( 2): (2) The inhibition efficiency was evaluated from the measured i corr values using the following relationship: (3) where i 0 corr and i corr are the corrosion current densities for steel electrode in the uninhibited and inhibited solutions, respectively.
From the impedance measurements, the inhibition efficiencies, η EIS , were calculated from the R ct values at different concentrations using the following equation: where R 0 ct and R ct are the charge transfer resistance values in the absence and presence of inhibitor, respectively

3 Computational procedures
The quantum chemical calculations were carried out to elucidate the correlation between the inhibitor molecular structure and its efficiency.Quantum chemical calculations were performed using density functional theory (DFT) with the Beck's three parameter exchange functional along with the Lee-Yang-Parr non local correlation functional (B3LYP) with 6-31G (d, p) basis set implemented in Gaussian 09 program package [15][16][17] .This approach is widely utilized in the analysis of the characteristics of corrosion process.The geometry optimization of the CBIPM inhibitor was carried out in the gaseous phase.
The following quantum descriptors were calculated from the obtained optimized structure: energy of highest occupied molecular orbital (E HOMO ), energy of lower unoccupied molecular orbital (E LUMO ), electronegativity (χ), the global hardness (η), global softness (σ), electron affinity (A), ionization potential (Pi), the total molecular dipole moment (µ) and the total energy (TE) have been calculated [18][19][20][21][22][23] . ( where µ is the electronic chemical potential, such as: This index measures the propensity of chemical species to accept electrons.A good more reactive nucleophile is characterized by a lower value of µ, ω. The number of transferred electrons (ΔN) was calculated as follows 24 : (8)   where χ Fe and χ inh respectively represent the absolute electronegativity of iron and the inhibitor molecule, η Fe and η inh denote respectively the absolute hardness of iron and the molecule of inhibitor.The theoretical value of χ Fe = 7.0 eV and η Fe = 0 is used to calculate the number of electrons transferred 25 .It is observed that the potential for uninhibited solution decreases with time and stabilizes at value of -507 mV/SCE after 30 minutes.This phenomenon can be explained by the degradation of the mild steel with a formation of corrosive products on its surface.So, in the presence of CBIPM at the concentration range from 10 -5 M to 10 -3 M, the potential shifts in the anodic direction (ennobling of potential) and stays quickly stable with time.This phenomenon can be explained by the formation of a protective film on the metallic surface.

Potentiodynamic polarization curves
The polarization behaviour of mild steel in 1.0 M HCl containing different concentrations of CBIPM is shown in Figure 3. Their extracted electrochemical parameters are given in Table 1.These results show that the CBIPM brings down the i corr value at all concentrations suggesting that this compound is an effective corrosion inhibitor.Moreover, it is noted that CBIPM causes a slight shift of E corr to negative values with a decrease in the anodic and cathodic branches indicating that it is a mixed type inhibitor.It is remarked also that the CBIPM addition, changes the anodic (β a ) and cathodic Tafel (β c ) slopes conducting a change in iron dissolution and hydrogen evolution mechanisms which can be explained firstly by the adsorption of CBIPM molecules onto the metallic surface and blocked the reaction sites.
On the other hand, for higher than -0.300V/SCE approximately, the various polarization curves tend to converge, with higher currents densities.This convergence is often explained by the fact that at high anodic potentials, the compounds are desorbed on the metallic 27,28 .

Electrochemical impedance spectroscopy
The impedance diagrams of mild steel in 1.0 M HCl at the open circuit potential (E OCP ) containing different concentrations of CBIPM are shown in Figure 4.It is apparent from these diagrams that they composed in all cases from one capacitive loop which its diameter increases with the CBIPM concentration.The results can be interpreted using  equivalent electrical circuit presented in Figure 5, which has been used previously to model the iron/acid interface 9 .
Various parameters such as charge-transfer resistance (R ct ) and double layer capacitance (C dl ) obtained from impedance measurements are shown in Table 2.It is noted that the inhibitor addition improves R ct values and brings down C dl values.These observations clearly bring out the fact that the mild steel corrosion in 1.0 M HCl is controlled by a charge transfer process and the corrosion inhibition occurs through the adsorption of CBIPM molecules on mild steel surface.Decrease in the C dl values, which can result from a decrease in local dielectric constant and/or an increase in current density, the thickness of the electrical double layer, suggested that the CBIPM molecules function by adsorption at the metal-solution interface 29,30 .
It is remarked also that the n dl values increase with increasing of the inhibitor concentrations.This can be explained by the decrease in surface heterogeneity as a result of the CBIPM molecules adsorption on the mild steel surface.The same result was found by other authors, and they explained by the molecule adsorption of inhibitors via N and S atoms in the inhibitor molecules 31,32 .In the same way, the relaxation time constant (τ dl ) values increase with inhibitor concentration as well and the time of adsorption process becomes therefore much higher which means a slow adsorption process 33 .This shows that there is an agreement between the amount of charge that can be stored (that is capacitance) and discharge velocity in the interface (τ dl ) 34 .
In the other hand, it is observed that the electrolyte solution increases with the inhibitor addition.This can be explained by the protonation of the inhibitor molecules decreasing therefore the concentration of the H + ions in the solution.

Effect of temperature solution
To investigate the inhibition mechanism and to calculate the activation energies of the corrosion process, Potentiodynamic polarization measurements were taken out at various temperatures range 298-328 K in the absence and presence of inhibitor at 10 -3 M of CBIPM and at 30 minutes of immersion.The obtained results are presented in Figure 6 and 7 and their corresponding data are shown in Table 3.However, the high inhibition efficiency of CBIPM, was attributed to the presence of the electron donor group (Chloro phenyl) in its structure.So, the adsorption of CBIPM molecules on the metallic surface can occur either directly on the basis of donor-acceptor interactions between the π-electrons of the ring and the vacant d-orbital of mild steel surface atoms or an interaction of organic nitrogen compounds with already adsorbed groups as proposed in the literature 26 .
where E a is the apparent activation energy, A is the Arrhenius factor, R is the universal gas constant, T is the absolute temperature, N is the Avogadro's constant, h is the Plank's constant, ΔS a is the entropy of activation and ΔH a is the enthalpy of activation.
It can be seen that the inhibition efficiency of CBIPM was reduced at a higher temperature solution, suggesting that the adsorption mechanism of CBIPM molecules on metallic surface is physical adsorption 35,36 .
However, Figure 7 presents the obtained plots for the mild steel in 1.0 M HCl, without and with 10 -3 M of CBIPM addition.It is found that the activation energy E a value increases from 13.0 kJ mol -1 to 62.5 kJ mol -1 with 10 -3 M of CBIPM addition.The change of the values of the apparent activation energies may be explained by the modification of the mechanism of the corrosion process in the presence of adsorbed inhibitor molecules 28 .In addition the increase of the E a probably was attributed to its physic-sorption on the mild steel surface 35,36 .It is noted that the i corr increases with temperature solution in the absence and increases slightly in the presence of 10 -3 M of CBIPM.This can be explained that the dissolution of mild steel is more important than in the presence of inhibitor.In addition, the activation energy for the corrosion process was estimated from Arrhenius type plot according to the following equation and its transition state: Y and the obtained thermodynamic parameters are calculated.It is found that the sign of the enthalpy (ΔH a ) is positive which increases from 10.43 kJ mol -1 to 59.9 kJ mol -1 with 10 -3 M of CBIPM addition, indicating an endothermic nature of the mild steel dissolution 37 .Thus, the largest negative value of ΔS a for mild steel in 1.0 M HCl, which decreases negatively from -146.3 J mol -1 K -1 to -16.45 J mol -1 K -1 .This phenomenon suggested that a decrease in randomness occurred on going from reactants to the activated complex.The great negative values of entropies indicate that the activated complex in the rate determining step is an association rather than dissociation step meaning that a decrease in disordering takes place on going from reactants to the activated complex 38,39 .

UV−Vis spectroscopic investigation
UV-visible spectroscopy which used to study the absorption of electromagnetic radiation by chemical species on a part of the spectrum: in the ultraviolet (wave lengths of 200 to 400 nm), the visible range (400 to 750 nm) and the very near Infrared (750 to 1000 nm).The UV-visible specter allow to a chemist in his laboratory to: identify an unknown compound; checking the purity of a known product by the absence of bands; to follow a reaction by studying the appearance or disappearance of reagents, intermediate products or species and to dose a mixture from the intensity of the peaks or the integration curves.Today, spectroscopy has a wide range of applications in research, industry and medical diagnostics 40 .
In order to confirm the possibility of the formation of CBIPM-Fe complex, UV-vis absorption spectra obtained from 1.0 M HCl solution containing 10 −30 M of CBIPM before and after 8 days of mild steel immersion are shown in Figure 9.It is remarked that the absorption spectrum of the solution containing 10 −3 M of CBIPM before the mild steel immersion (curve 1 ) shows a band of a high wavelength in the range of 200-300 nm (not indicated here) due to the π-π* transition of the aromatic ring of compound and a short band at around 350 and 500 nm which is attributed to a n-π* electronic transition involving the lone pair of electrons on the chlorophenyl benzo[d]imidazol nitrogen atom.
After 8 days of mild steel immersion (curve 2), it is clearly seen that the band in the region of 200-300 nm is completely the same and the light deviation between 350-400 nm can be due to the n-π* transition.In the mean time, there is an increase in the absorbance of this band.These experimental findings give a strong evidence for the possibility of the complex formation between Fe 2+ cation and CBIPM in 1.0 M HCl solution.The same result was already confirmed by the literature studies 41,42 .

Quantum calculation 3.6.1 Calculation of the main quantum parameters
The experimental study was completed by a theoretical study at the B3LYP/6-31G (d, p) level in order to correlate the results obtained from the experimental study with the molecular structure and electronic properties of CBIPM.So, the HOMO energy is often associated with the molecule's ability to give away its electrons to suitable vacant orbital.Thus, the increase in E HOMO values facilitates adsorption by influencing the transfer process through the adsorbed layer.On the other hand, the LUMO energy gives information on the acceptance of electrons in the molecule.The decrease in the E LUMO value is an indicator of the molecule's ability to accept electrons from the iron surface and the higher the inhibitory efficiency.According to the literature, it is well known that a good corrosion inhibitor is often the one that not only yields its electrons, but also that capable of accepting the electrons of the metal surface.In addition, the energy gap  (ΔE gap ) is another important parameter.So, the adsorption performance between the inhibitors and the metal surface increases with the decrease in the energy gap 43 .
The Molecular optimization, electron density distributions of the boundary molecular orbitals, HOMO and LUMO of the CBIPM inhibitor are presented in Figure 10.
From the Figure 10, it can be seen that the electron density of the HOMO site is located on the chemical surface of the CBIPM inhibitor.In addition, the electron density of the unoccupied molecular orbital (LUMO) is distributed to the phenyl methanone group of CBIPM.On the other hand, the calculated quantum parameters are summarized in Table 4.
From Table 4, it is shown that the CBIPM inhibitor has a high E HOMO (-5.981 eV) energy and a low E LUMO (-2.076 eV), as well as a low energy difference value ΔE gap (3.905 eV ) between E HOMO and E LUMO , which reinforces its inhibitory action on the mild steel surface.In addition, the dipole moment (µ) is the parameter most used to describe the polarity of a molecule 44 .It is clearly proved in the literature that molecules with high dipole moments are more reactive.In our study, the dipole moment value of CBIPM is 5.195 debyes, which is higher than the water molecule.
On the other hand, the chemical hardness (η) and softness (σ) are important chemical properties for measuring molecular stability and reactivity.So, the inhibition efficiency of adsorption increases with chemical reactivity, normally the molecule with the smallest hardness value should have the greatest inhibition efficiency 45 .The CBIPM inhibitor has good chemical reactivity with the metallic surface due to the increase in the softness value (σ = 0.512 eV -1 ) and the decrease in the hardness (η = 1.952 eV).
The fraction of electrons transferred from the inhibitor molecule to the metallic surface (ΔN) was also calculated in this work.According to the Lukovits study 46 , if the value of ΔN < 3.6, the inhibition efficiency was judged to be good.In our case, the charge transfer rate is ΔN = 0.761 eV, it is lower than the limit value set by Lukovits.It can be concluded that the CBIPM has an inhibitory effect against corrosion of the metal.
However, the organic molecules that possess heteroatoms can be protonated in the acid medium.As a result, the molecule CBIPM has several centers, which are favorable to protonation as the atoms of chlorine, oxygen and nitrogen, but the last one who is considered the most favorable site for protonation.Therefore, the N7 nitrogen atom of CBIPM is able to receive the proton (H + ).The protonation of the studied molecule was carried out using the theory of DFT with all the bases 6-31 G (d, p).
Figure 11 shows the optimization and distribution of the electronic densities of the frontier molecular orbital (FMO) of the protonated CBIPM.
In order to see the influence of protonation on the chemical quantum descriptors of the CBIPM molecule, we grouped these indices in Table 5.
From this table, it is clear that the values of E HOMO and of ΔN decreased, which indicates that the electron donor power of the protonated molecule CBIPM is less important than that of the neutral molecule.Thus, the decrease of ΔE gap and the increase of the dipolar moment (µ) reflect the increase of the reactivity of our protonated molecule.

Calculation of the atomic loads of Mulliken
It has been reported that the more negative of the atomic charges of the adsorbed center are, the more easily the atom gives away its electrons to the unoccupied orbital of the metal 47 .The distribution of the Mulliken charges and the     orientation of the polar moment are shown schematically in Figure 12 and the charge distribution values are also grouped in Table 6.
From Figure 12 and Table 6, it can be seen that the nitrogen, oxygen, and some carbon atoms have higher charge densities.The regions of the greatest electronic densities are generally the sites that electrophiles can attack through 48 .Thus, N, O, and some C atoms are the active centers that have the greatest ability to bind to the metal surface.On the other hand, some carbon atoms carry positive charges, and are the sites by which nucleophiles can attack.Therefore CBIPM can accept iron electrons through these atoms, these observations can be confirmed by the Fukui indices study.Where fk + and fk -represent the ability of the k atom to react with a nucleophile and electrophile, respectively.

Fukui indices study
A high value of fk + shows that the k atom has an electrophilic character indicating a high probability for a nucleophilic attack on that site where the high value of fk - means that the k site is more nucleophilic and available for the electrophilic attacks 50,51 .The calculated Fukui indices for the CBIPM molecule are shown in Table 7.It can be seen that the CBIPM inhibitor possesses the greatest values of fk + which are located on the atoms N9, C17, O18, C20, C22 and C24.These atoms participate in the acceptance of electrons from the metal surface.On the other hand, the atoms C2, C4 and Cl16 are the electron donors as atoms possess higher fk -values.Consequently, the theoretical results were found to be consistent with the experimental results for the corrosion inhibition of mild steel by the CBIPM inhibitor.

Conclusion
The corrosion inhibition of mild steel in 1.0 M HCl solution by CBIPM was studied using common electrochemical techniques coupled with UV-vis spectroscopic and quantum chemical calculations by DFT method.According to experimental and theoretical findings, it could be concluded that: 1. CBIPM is a good corrosion inhibitor for mild steel in 1.0 M HCl solution and its inhibition efficiency depends on its concentration.2. Potentiodynamic polarization curves indicated that CBIPM acts as a mixed type inhibitor.

EIS plots indicated that R ct values increase and
C dl values decrease with inhibitor concentration.4. The UV-vis spectroscopic study clearly reveals the formation of Fe-CBIPM complex, which may be also responsible for the observed inhibition. 5.The theoretical results were found to be consistent with the experimental results for the corrosion inhibition of mild steel by the CBIPM inhibitor.

Figure 2
Figure 2 illustrates the variation of open circuit potential (E OCP ) of mild steel in 1.0 M HCl with time without and with different concentration of CBIPM.It is observed that the

Figure 2 .
Figure 2. Evolution of EOCP versus time for mild steel in 1.0 HCl without and with different concentrations of CBIPM.

Figure 3 .
Figure 3 .Potentiodynamic polarization curves of mild steel in 1.0 M HCl containing different concentration of CBIPM.

Figure 4 .
Figure 4. Nyquist plots for mild steel in 1.0 M HCl in the presence of different concentrations of CBIPM at the open circuit (EOCP).

Figure 5 .
Figure 5. Proposed equivalent electrical circuit for mild steel/ HCl interface.

Figure 6 .
Figure 6.Potentiodynamic polarization curves for mild steel in 1.0 M HCl (a) without and (b) with CBIPM at different temperatures.

Figure 7 .
Figure 7.The relationship between Ln icorr and 1/T for mild steel in 1.0 M HCl in (a) the absence and (b) the presence of 10-3 M of CMBIM.
On the other hand, the plots of ln T icorr S X against 1/T (Figure8) should give a straight line with a slope of

Figure 8 .
Figure 8. Transition Arrhenius plots for mild steel in 1.0 M HCl in (a) the absence and (b) the presence of 10 -3 M of CBIPM.

Figure 9 .
Figure 9. UV−visible spectra of the solution containing 10 -3 M of CMBIM (1) before the mild steel immersion and (2) after 8 days of mild steel immersion.
Generally, the inhibitor molecules adsorb on the metallic surfaces by donor-acceptor interactions.This means that it is essential to analyze the atoms in the molecule that participate in this type of interaction.So, the condensed form of Fukui functions in a molecule with N electrons has been proposed by Yang and Mortier 49 : (11) (12) P k (N): Electronic population of the atom k in the neutral molecule.P k (N+1): Electron population of the atom k in the anionic molecule.

Table 1 .
Electrochemical parameters for mild steel in 1.0 M HCl containing different concentrations of CBIPM

Table 3 .
Electrochemical parameters of mild steel in 1.0 M HCl without and with 10 -3 M of CBIPM at different temperatures.

Table 5 .
Calculated chemical quantum parameters of CBIPM protonated.

Table 6 .
Mulliken charge distribution values of CBIPM molecule