Assessment of (2E)-1-(4-Methoxyphenyl)-3-(2-Phenyl H-Imidazo [1, 2-a] Pyridine-3-yl) Prop-2-en-1-One Adsorption for Aluminum Corrosion Inhibition in Hydrochloric Acid: Gravimetric, Thermodynamic, and DFT Study

Abstract

The present study evaluates the adsorption properties of (2E)-1-(4-Methoxyphenyl)-3-(2-Phenyl H-Imidazo[1, 2-α] Pyridine-3-yl)prop-2-en-1-one (MPIP) on aluminum corrosion in acid medium (HCl 1 M) at different temperatures. This study was assessed by gravimetric tests and density functional theory (DFT). Gravimetric measurements reveal that the compound’s effectiveness increases with concentration but decreases with increasing temperature, suggesting a predominant physical adsorption mechanism. Thermodynamic analysis confirms the spontaneous and exothermic nature of the process, highlighting Langmuir-type adsorption. Theoretical study based on DFT identified the compound’s descriptor parameters (EHOMO, ELUMO, energy gap, global hardness and softness), corroborating its chemical reactivity and propensity to interact with the metal surface. Finally, experimental and computational results indicate that the compound studied is a promising, environmentally-friendly corrosion inhibitor for the protection of aluminum in acidic environments.

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Cissé, M. , Bamba, S. , Kouyaté, A. , Tigori, M. , Yao, K. , Dongui, B. and Niamien, P. (2025) Assessment of (2E)-1-(4-Methoxyphenyl)-3-(2-Phenyl H-Imidazo [1, 2-a] Pyridine-3-yl) Prop-2-en-1-One Adsorption for Aluminum Corrosion Inhibition in Hydrochloric Acid: Gravimetric, Thermodynamic, and DFT Study. Journal of Materials Science and Chemical Engineering, 13, 38-61. doi: 10.4236/msce.2025.1310003.

1. Introduction

Metals in service often give a superficial impression of permanence, but all except gold are chemically unstable in almost natural environments. Wear and corrosion are common forms of damage in engineering, causing material deterioration and, consequently, a degradation of its functional properties, whether mechanical, electrical, optical, esthetic, or other [1] [2]. Thus, the successful use of materials in technical and commercial applications depends on protective mechanisms.

In recent years, during discussions on materials, manufacturers have sought to reduce corrosion of metal equipment by incorporating organic compounds into acidic solutions. This approach aims to control or mitigate the dissolution of such equipment. Thanks to research efforts, several organic corrosion inhibitors have been identified.

Inhibitors, which reduce corrosion on metalic materials, can be divided into three kinds: surfactant inhibitors [3]-[5], organic inhibitors [6]-[13] and inorganic inhibitors [14]-[17]. Heterocyclic inhibitors have many advantages, such as high inhibition efficiency [18]-[20], low price, and easy production.

The choice of effective inhibitors is based on their mechanism of action and their electron-donating capability. Moreover, inhibitory ability is reinforced by the presence of the molecular structure of adsorption active sites with the lone pair and or π orbitals, such as heterocyclic rings containing sulphur, oxygen, phosphorus and/or nitrogen atoms [21]-[25]. These compounds can form either a strong coordination bond with metal atom or a passive film on the surface [26]. Imidazoles and their derivatives represent a significant class of organic compounds, distinguished by the presence of heteroatoms (N and O) and aromatic rings. These molecules are generally considered non-toxic and biodegradable [27]. Previous studies [28] [29] have demonstrated their remarkable anticorrosive properties, which are closely associated with their chemical structure and their ability to inhibit the electrochemical reactions responsible for metal degradation.

The corrosion inhibition of a metal may involve either physisorption or chemisorption of the inhibitor on the metal surface. Electrostatic attraction between the charged hydrophilic groups and the charged active centers on the metal surface leads to physicosorption. Several authors showed that most inhibitors were adsorbed on the metal surface by displacing water molecules from the surface and forming a compact barrier film [30]-[33]. Moreover, several researchers [34] [35] have reported that the inhibitory efficiency of these compounds can be correlated with specific quantum chemical parameters, thereby providing deeper insights into the inhibition mechanism.

The purpose of this paper is aimed to deepen our understanding of corrosion inhibition mechanisms (2E)-1-(4-Methoxyphenyl)-3-(2-Phenyl H-Imidazo [1, 2-α] Pyridine-3-yl) prop-2-en-1-one (MPIP), particularly through the phenomenon of adsorption and quantum theory, but also to promote the development of new environmentally friendly corrosion inhibitors that can extend the service life of aluminum components exposed to corrosive environments [36].

2. Experimental Details

2.1. Materials Preparation

The hydrochloric acid (HCl) 1 M solution was prepared by dilution of HCl 37% of analytical quality with bidistilled water. The material used in this study is 1 cm long aluminum rod. Firstly, the aluminum rod was mechanically abraded with abrasive papers in various grain sizes (from grade 150 to 800); rinsed with bidistilled water, degreased in acetone, washed once again with bidistilled water and dried before their immersion in experimental solution. Concentration range of inhibitor used in the tests was from around 106 to 103 mol/L.

The aggressive solution (1.0 M HCl) was prepared by dilution of analytical grade 37% HCl with double-distilled water. Corrosion inhibitor solution is prepared by dissolving the desired heterocyclic weight of inhibitor in 1 M HCl. Four different concentrations, namely, 103, 104, 105 and 106 mol/L by weight are used for the evaluation of corrosion inhibition. Structural formulae of the examined inhibitors are shown in Figure 1.

Figure 1. (2E)-1-(4-Methoxyphenyl)-3-(2-Phenyl H-Imidazo [1, 2-a] Pyridine-3-yl) prop-2-en-1-one (MPIP).

2.2. Weight-Loss Measurements

The weight-loss of aluminum rod specimens, 1 cm in 1.0 M HCl, with and without the addition of inhibitors, was determined after 1 h period of immersion at a temperature of 25˚C in air atmosphere without bubbling. Triplicate experiments were performed in each case and the mean value of the weight-loss has been reported.

2.3. Computational Calculations

For convenience reasons, the calculations of isolated molecules were performed with the local Gaussian-type-orbital basis set and Gaussian 09 program especially because the evaluation of vertical ionization potentials and electron affinities involve calculations of charged species. All calculations were done with DFT at B3LYP level of theory which yields good descriptions of organic molecules. The electronic properties of these structures were studied based on the nature bond orbital analysis (NBO). The calculations of the local and global reactivity indicators of the such as the inhibitor molecules localization of frontier molecular orbitals, EHOMO (Energy of the highest occupied molecular orbital), ELUMO (Energy of the lowest occupied molecular orbital), ∆Egap (Energy gap), I (ionization energy), A (electron affinity), χ (Absolute electronegativity), η (Global hardness), S (Global softness), ω (Global electrophilicity index), ∆N (Fraction of electrons transferred from single inhibitor molecule to metallic surface) and total energy (ET) were used to explain the electron transfer mechanism between the neutral and protonated forms of inhibitor molecules (NCF & NCCM) and the aluminum surface in acid medium [37] [38].

I= E HOMO (1)

A= E LUMO (2)

Δ E LH = E LUMO E HOMO (3)

χ= I+A 2 = 1 2 ( E HOMO + E LUMO ) (4)

η= IA 2 = 1 2 ( E HOMO E LUMO ) (5)

S= 1 χ =2/ ( E HOMO E LUMO ) (6)

ω( μ 2 2 )S= I+A 8 (7)

ΔN= χ Al χ inh 2( η Al + η inh ) (8)

where χ Al and χ inh represent the absolute electronegativity of Al and the inhibitor molecule respectively, η Al and η inh represent the absolute hardness of Al and the inhibitor molecule, respectively. By assuming that for a metallic I = A; because they are softer than the neutral metallic atoms [39]; theorical values for the electronegativity χ Al =4.28eV and η Al =0 the global hardness were hence used.

3. Results and Discussion

3.1. Weight-Loss Evaluation

Weight-loss tests or Gravimetric tests were carried out to analyze the influence of concentration and temperature on corrosion rate and inhibition efficiency. Weight-losses are expressed in mg per hour per cm2 of the mild surface area, which were determined in the absence and in the presence of the additives at 25˚C after 1 h of hold time immersion. The highest concentration is sometimes limited by the solubility of the compound. Higher concentrations were not tested even at two consecutive concentrations no further increase is observed in terms of inhibiting efficiency.

The corrosion rates (W), the degree of surface coverage (θ) and the inhibition efficiency IE (%) were calculated using the following expressions:

W= m 0 m 1 St (9)

θ= W 0 W W 0 (10)

IE( % )= W 0 W W 0 ×100 (11)

-m0 is the initial mass of the sample before testing.

-m1 is the final mass of the sample after corrosion.

-S is the total surface area of the sample.

-t is the total corrosion time.

-W0 is the corrosion rate in the blank solution.

-W is the corrosion rate in the solution containing MPIP.

Figure 2 analysis reveals that the corrosion rate (W) increases with temperature, while it decreases with higher concentrations of the inhibitor. These results highlight the strong dependence of corrosion kinetics on both the temperature of the corrosive medium and the MPIP concentration. Moreover, the data indicate that the thickness of the protective layer formed on the metal surface increases proportionally with the amount of MPIP present.

Figure 2. Corrosion rate W with temperature in absence and presence of inhibition.

The protective film formed by the complexation of MPIP with the metal progressively deposits onto the aluminum surface, thereby mitigating its dissolution. However, the thickness of this film decreases with increasing temperature. These findings underscore the critical influence of temperature and concentration on the corrosion kinetics of aluminum, as well as on the adsorption behavior and inhibitory performance of MPIP at the metal interface, as reported by several studies [40].

Figure 3 illustrates the combined influence of temperature (T) and inhibitor concentration (Cinh) on the inhibition efficiency IE (%) of MPIP. Analysis of the data reveals that the increase in inhibition efficiency with rising MPIP concentration is attributed to the adsorption of the inhibitor onto the aluminum surface. This adsorption is facilitated by the availability of non-bonding electron pairs on heteroatoms (N and O) and the π-electrons of the aromatic rings, enabling chemisorptive interactions with the metal surface. Such interactions result in the formation of a dense and stable adsorbed film, which acts as a physical barrier that limits the access of aggressive species to the metal surface, thereby reducing the anodic dissolution process.

Figure 3. Inhibition efficiency vs. temperature for different concentrations in MPIP.

However, a decrease in inhibition efficiency is observed with increasing temperature. This behavior is ascribed to the thermal desorption of MPIP, which occurs due to increased thermal agitation and reduced stability of the inhibitor–metal interactions. The acceleration of desorption at elevated temperatures compromises the integrity of the protective film, thereby exposing the metal surface to corrosive attack. This temperature-dependent behavior aligns with findings reported by [41] [42], and suggests a predominantly physico-chemical adsorption mechanism that is sensitive to the thermdynamic conditions of the system.

3.2. Adsorption Isotherm and Thermodynamic Considerations

3.2.1. Adsorption Isotherms and Thermodynamic Parameters

A thermodynamic study was carried out to determine the nature and mechanism of adsorption of the inhibitor on the aluminum surface.

It is widely acknowledged that adsorption isotherms provide useful insights into the mechanism of corrosion inhibition. In order to obtain the isotherm type model, one supposes that inhibitor acts via a simple adsorption mode. Thus, the apparent corrosion rate of the inhibited aluminum sample is proportional to the ratio of the surface covered θ and that not covered 1θ by the inhibitor. Fractional coverage values θ have been evaluated for different concentrations of the compound under study from corrosion rates in uninhibited and inhibited solutions by means of Equation (2).

Five isotherm models have been explored to describe phenomena at the metal/solution interface. The aim of this approach is to assess the compound’s adsorption capacity, elucidate the inhibition mechanism involved and optimize the process. So we have retained Langmuir, Temkin, Frumkin, El-Awady and Adejo-Ekwenchi isotherms [43]-[47]. The Equations that define these isotherms are expressed in Table 1.

Table 1. Equations of studied isotherms.

Isotherm

Equations

Langmuir

C inh θ = 1 K ads + C inh

(12)

Temkin

θ= 2.303 f ( log K ads +log C inh )

(13)

El-Awady

log( θ 1θ )=log K +ylog C inh

(14)

Frumkin

log[ θ( 1θ ) C inh ]=log K ads +2fθ

(15)

Adejo-Ekwenchi

log( 1 1θ )=log K AE +blog C inh

(16)

C inh is MPIP’s concentration; K ads is the equilibrium constant of the adsorption process; f is a factor energetic inhomogeneity in the surface; θ is surface coverage; K ads = K 1/y ; 1/y is active sites occupied by an inhibitor molecule; K AE ,b are d’Adejo-Ekwenchi isotherm parameters.

Figures 4-8 illustrate the best fit obtained from the plot of fractional surface coverage θ versus C inh . All the tested isotherms yield straight lines as shown in Figures 4-8. Table 2 gives the different parameters of studied isotherms.

Langmuir isotherm exhibited the highest determination coefficients (values close to 1), indicating excellent agreement with the experimental results. This model assumes monolayer adsorption on a homogeneous surface without interactions between adsorbed molecules. The slopes of the Langmuir plots were close to unity, confirming the applicability of this model and suggesting that the MPIP molecules adsorb uniformly across the aluminum surface, with negligible lateral interactions [48].

Temkin isotherm accounted for weak interactions between adsorbed species and suggested slight heterogeneity in adsorption energies. Although its fit was slightly less accurate than Langmuir’s, it remains relevant, especially at higher inhibitor concentrations [49].

While El-Awady model proposed heterogeneous adsorption sites and potential molecular interactions. Its R² values were close to unity but still lower than those of the Langmuir model, indicating minor surface heterogeneity or intermolecular effects [46].

The Frumkin isotherm, an extension of the Langmuir model, incorporates attractive or repulsive interactions between adsorbed molecules. The model showed a good fit (R2 ≈ 1) and suggested the presence of weak electrostatic forces. This supports the idea of physical adsorption contributing to the inhibitory process [50].

Finally, the Adejo-Ekwenchi isotherm also fitted the experimental data well. The decreasing trend of the slope parameter b with increasing temperature, as observed in Table 2, points toward a physisorption mechanism. According to [42] [48] [51], such behavior is characteristic of van der Waals-type interactions, which do not involve the formation of chemical bonds and are easily reversed at elevated temperatures.

Overall, the Langmuir model remains the most suitable under the tested conditions. However, the inclusion of other isotherms provides complementary insight into the nature of the adsorption process, including molecular interactions, surface heterogeneity, and thermally sensitive physical adsorption mechanisms.

Figure 4. Langmuir adsorption isotherms for inhibition of aluminum corrosion in 1.0 M HCl by different concentrations of MPIP at temperatures 298 K to 308 K.

Figure 5. Temkin adsorption isotherms for inhibition of aluminum corrosion in 1.0 M HCl by different concentrations of MPIP at temperatures 298 K to 323 K.

Figure 6. El-Awady adsorption isotherms for inhibition of aluminum corrosion in 1.0 M HCl by different concentrations of MPIP at temperatures 298 K to 323 K.

Figure 7. Frumkin adsorption isotherms for inhibition of aluminum corrosion in 1.0 M HCl by different concentrations of MPIP at temperatures 298 K to 323 K.

Figure 8. Adejo-Ekwenchi adsorption isotherms for inhibition of aluminum corrosion in 1.0 M HCl by different concentrations of MPIP at temperatures 298 K to 323 K.

Table 2. Parameters deduced from other adsorption isotherms using results reported for MPIP.

Isotherm

T (K)

R2

Slope

Intercept

Langmuir

298

0.9937

0.8457

0.0382

303

0.9947

0.9028

0.0403

308

0.9912

0.9022

0.0421

313

0.9933

0.9380

0.0497

318

0.9990

0.9258

0.0532

323

0.9905

0.9203

0.0565

Temkin

298

0.9525

0.6033

1.4044

303

0.9663

0.5529

1.3037

308

0.9678

0.5629

1.2927

313

0.9650

0.5465

1.2532

318

0.9618

0.5768

1.2672

323

0.9510

0.6728

1.3272

El-Awady

298

0.9827

1.8521

2.6179

303

0.9519

1.3766

1.9581

308

0.9289

1.3470

1.8851

313

0.9196

1.2109

1.6728

318

0.9212

1.2315

1.6531

323

0.9301

1.3550

1.6918

Frumkin

298

0.9718

4.5990

−3.9093

303

0.9724

4.0166

−3.4864

308

0.9717

4.1649

−3.5039

313

0.9724

3.7244

−3.2337

318

0.9738

3.5804

−3.1083

323

0.9773

3.2825

−3.8586

Adejo-Ekwenchi

298

0.9737

1.5001

2.3713

303

0.957

1.0294

1.7382

308

0.9362

0.9808

1.6564

313

0.9266

0.8420

1.4561

318

0.9287

0.8289

1.4148

323

0.9441

0.8374

1.3699

3.2.2. Effect of Temperature

The study of adsorption isotherms serves as a fundamental tool for elucidating the molecular-level mechanisms governing corrosion inhibition. A better understanding of the adsorption behaviour of an inhibitor can be achieved by investigating the thermodynamics of the adsorption process. Thus, the thermodynamic properties are based on the analysis of adsorption thermodynamic parameters. The standard free energy of adsorption ( Δ G ads 0 ) is calculated using the following Equation [50]:

Δ G ads 0 =RTln( 55.5 K ads ) (17)

where:

  • 55.5 is the molar concentration of water in the corrosive solution (in mol·L−1),

  • R is the universal gas constant, and T is the absolute temperature in Kelvin,

  • Kads is the adsorption equilibrium constant, which is determined from the intercept of the linearized Langmuir adsorption isotherm plots (1/Kads corresponds to the y-intercept; see Table 2.

Indeed, the adsorption of MPIP on the aluminum surface follows the Langmuir isotherm model most appropriately.

Furthermore, the standard enthalpy change of adsorption ( Δ H ads 0 ) and the standard entropy change of adsorption ( Δ S ads 0 ) are determined from the Gibbs-Helmholtz Equation:

Δ G ads 0 =Δ H ads 0 TΔ S ads 0 (18)

Figure 9. ΔGads versus temperature.

In fact, plotting Δ G ads 0 as a function of temperature (Figure 9) allows for the determination of the thermodynamic quantities Δ H ads 0 and Δ S ads 0 . The corresponding values derived from this analysis are summarized in Table 3.

Table 3. Kads and thermodynamic adsorption parameters for MPIP.

T (K)

Kads

Δ G ads 0 (kJ∙mol−1)

Δ H ads 0 (kJ∙mol−1)

Δ S ads 0 (J∙mol−1∙K−1)

298

26178.01047

−35.179783

−13.677

72.3

303

24813.89578

−35.59230554

308

23866.34845

−36.07998561

313

20120.72435

−36.22165414

318

18867.92453

−36.63039133

323

17857.14286

−37.05855328

The negative values of the standard Gibbs free energy of adsorption ( Δ G ads 0 ) indicate that the adsorption of MPIP onto the aluminum surface is a spontaneous process, accompanied by the formation of a stable adsorbed layer [52]. The measured values, ranging from −35 to −37 kJ·mol−1, suggest that a mixed adsorption mode, so the mechanism likely involves both physisorption and some degree of chemisorption [51].

Furthermore, the standard enthalpy change of adsorption ( Δ H ads 0 ) is negative, confirming that the process is exothermic [40]. This exothermic nature favors physisorption, although it is often associated with a decrease in inhibition efficiency at elevated temperatures.

Finally, the positive value of the standard entropy change of adsorption ( Δ S ads 0 ) reflects an increase in disorder at the metal/solution interface during MPIP adsorption. This increase is primarily attributed to the displacement of water molecules initially adsorbed on the aluminum surface, which are replaced by inhibitor molecules [30]-[33] [40].

The effect of temperature on corrosion and its inhibition process for aluminum in 1 M HCl in absence and presence of different concentrations of MPIP at different temperatures ranging from 298 K to 323 K was evaluated. The dependence of corrosion rate on the temperature can be regarded as an Arrhenius-type process, the rate of which is given by Arrhenius:

logW=logA E a 2.3RT (19)

where W is the corrosion rate in the presence of inhibitor, Ea the apparent activation energy, R the universal gas constant, A the frequency factor.

Corrosion rates were used to additionally achieve data on the apparent activation enthalpy ( Δ H a * ) and activation entropy ( Δ S a * ) changes for the formation of the activated complex in the transition state using the relation (20):

log( W T )=log( R h )+ Δ S a * 2.303R Δ H a * 2.303RT (20)

where h is Planck’s constant and N is Avogadro number.

The plots of logW and logW/T versus 1/T for aluminum in corrosive environment in the absence and in the presence of various concentrations of the MPIP inhibtor are given by Figure 10 and Figure 11.

The slopes E a 2.3RT and Δ H a * 2.303RT of the straight lines were used to evaluate (Ea) and ( Δ H a * ) , whereas the intercept log( R h )+ Δ S a * 2.303R was used to evaluate ( Δ S a * ). All the results are presented in Table 4.

The value of activation energy (Ea) for hydrochloric acid solution without MPIP is 98.52 kJ/mol, while in the presence of MPIP as a corrosion inhibitor is 111.54 kJ/mol. The high activation energy value of MPIP is often interpreted as suggesting the formation of a physical/electrostatic adsorption film [48].

Figure 10. Arrhenius plots for aluminum in 1 M HCl without and with MPIP.

Figure 11. Arrhenius plots for aluminum in 1 M HCl without and with MPIP.

The positive Δ H a * value refers to an endothermic dissolution process for surface of aluminum at room temperature in the presence of MPIP molecules [53]. Δ H a * increased with a temperature increase, which supports the endothermic nature of aluminum surface dissolution and the decrease of the inhibition performance of MPIP molecules. The apparent entropy activation ( Δ S a * ) values at room temperature

were positive with increasing temperature. In the absence of MPIP molecules, the apparent entropy activation values were also positive at higher concentrations of MPIP. ( Δ S a * ) with considerable and positive values implies that the activated complex in the rate-determining step means a dissociation rather than an association stage, suggesting that an increase in disordering takes place on proceeding from reactants to the activated complex [54].

Table 4. Kinetic parameters for aluminum in 1.0 M HCl in the presence and absence of MPIP.

Concentration mM

E a (kJ∙mol−1)

Δ H a (kJ∙mol−1)

Δ S a (J∙mol−1∙K−1)

blank

98.51990803

95.93892672

25.795328

0.04

111.5416964

108.9607151

61.981504

0.06

112.1490989

110.1965971

64.182144

0.1

114.5480511

117.6118886

80.926144

0.2

138.5950559

136.0140746

136.688448

3.3. Quantum Chemical Calculations

3.3.1. Global Reactivity

Quantum chemical principles have been widely used to study corrosion inhibition including structure optimization calculations, semi-empirical, ab initio and DFT calculations. To corroborate the experimental results and the electronic parameters which are very important to explain the molecule reactivity, a computational analysis based on density functional theory (DFT) was carried out.

The quantum chemical parameters for the neutral form (Figure 12) of the investigated inhibitor calculated by DFT/B3LYP with the 6-31G (d, p) are listed in Table 5. The values of the frontier molecular orbital energies (i.e. energy of the highest occupied molecular orbital (EHOMO), energy of the lowest unoccupied molecular orbital (ELUMO), the energy gap (ΔELH), total energy (ET), Hardness (η), Electrophilicity (ω), Ionization Potential (I), and dipole moment (μ) were also calculated [46].

Generally, the energy gap of a molecule is a quantum chemical parameter that indicates hardness or softness of molecular species. Hard molecules are characterized with larger value of energy gap and are less reactive than soft molecules, which are characterize by small energy gap [55]. The quantum chemical parameters of MPIP provide consistent evidence for its strong inhibitory performance on aluminum. The relatively high HOMO energy indicates that MPIP can readily donate electrons to the metal surface, while its low LUMO energy suggests a simultaneous ability to accept electrons, thereby favoring donor–acceptor interactions [42] [56]-[58]. This dual behavior, combined with the small energy gap (ΔE), reflects high chemical reactivity and facilitates electron transfer during adsorption. The moderate dipole moment (μ = 1.8126 D) confirms sufficient molecular polarity to promote surface interactions. In addition, the high softness (σ) and low hardness (η) values classify MPIP as a “soft” molecule, further enhancing its adsorption affinity. The elevated electrophilicity index (ω = 3.6942) highlights its strong electron-accepting tendency, particularly toward reactive species such as H⁺ in acidic media, supporting the formation of a protective barrier layer on the aluminum surface. Moreover, the lower electronegativity of MPIP (χinh = 3.7542 eV) compared to aluminum (χAl = 4.28 eV), along with the positive fraction of electrons transferred (ΔN > 0), confirms electron migration from the metal to the inhibitor [58]. Taken together, these descriptors underline the capability of MPIP to strongly adsorb onto aluminum through synergistic donor–acceptor and electrostatic interactions, thereby ensuring effective corrosion inhibition.

Figure 12. Optimized structure of MPIP.

Table 5. Theoretical properties of MPIP calculated using DFT at the B3LYP/6-31G (d) basis set.

Parameters

MPIP

EHOMO (eV)

−5.6617

ELUMO (eV)

−1.8466

Energy gap ΔELH

3.8151

Dipole moment μ (D)

1.8126

Ionization energy (eV)

5.6617

Electron affinity A (eV)

1.8466

Absolute electronegativity χ (eV)

3.7542

Hardness η (eV)

1.9076

Softness σ (eV)1

0.5242

Fraction of electron transferred ΔN

0.3213

Electrophylicity index ω

3.6942

Total energy ET (Ha)

−1146.9877

3.3.2. Local Reactivity

Reactive sites correspond to molecular regions that are most likely to donate or accept electrons in interactions with the metal. In the case of MPIP, the molecule tends to accept electrons through the LUMO and to donate electrons via the HOMO (Figure 13). The identification of these sites is based on the analysis of Fukui functions ( f k + , f k ) and the dual descriptor (Δfk (r)) [59]. According to the literature, the atom with the highest values of f k + and Δfk (r) is considered the most favorable site for nucleophilic attack, generally associated with the LUMO of MPIP. Conversely, the atom displaying the highest f k value and the lowest Δfk (r) is the predominant site for electrophilic attack, which is linked to the HOMO [57] [60].

Figure 13. HOMO and LUMO orbitals of studied molecule.

The Fukui function analysis in Table 6 provides further insight into the reactive sites of MPIP and their role in its adsorption on aluminum. Carbon C (1) was identified as the most favorable site for electrophilic attack, while oxygen O (37) emerged as the primary nucleophilic center.

Table 6. Local MPIP reactivity sites.

Atoms

q k ( N+1 )

q k ( N )

q k ( N1 )

f k +

f k

Δ f k ( r )

1 C

0.084159

0.454511

0.058647

−0.370352

0.395864

0.766216

2 C

−0.028102

−0.080094

−0.027294

0.051992

−0.0528

0.104792

3 C

0.112039

−0.08167

0.060065

0.193709

−0.141735

0.335444

4 C

−0.046961

−0.131366

−0.015956

0.084405

−0.11541

0.199815

5 C

0.078677

0.094616

0.021482

−0.015939

0.073134

−0.089073

6 C

0.354291

0.202057

0.017848

0.152234

0.184209

−0.031975

7 C

0.061676

0.121785

0.083259

−0.060109

0.038526

−0.098635

8 H

0.00172

0.120028

0.001061

−0.118308

0.118967

−0.237275

9 H

−0.004834

0.106999

−0.003117

−0.111833

0.110116

−0.221949

10 H

0.002723

0.107294

0.000418

−0.104571

0.106876

−0.211447

11 H

−0.002131

0.131794

−0.00119

−0.133925

0.132984

−0.266909

12 N

−0.040292

−0.52734

0.040049

0.487048

−0.567389

1.054437

13 N

0.026409

−0.544625

−0.038577

0.571034

−0.506048

1.077082

14 C

0.039551

0.075921

0.011597

−0.03637

0.064324

−0.100694

15 C

0.020128

−0.085454

−0.000649

0.105582

−0.084805

0.190387

16 C

0.114824

−0.080355

0.062354

0.195179

−0.142709

0.337888

17 C

−0.020175

−0.095429

0.00634

0.075254

−0.101769

0.177023

18 H

−0.001103

0.117649

−0.000008

−0.118752

0.117657

−0.236409

19 C

−0.040889

−0.096489

−0.020198

0.0556

−0.076291

0.131891

20 H

−0.005708

0.03079

0.011379

−0.036498

0.019411

−0.055909

21 C

0.121782

−0.092642

0.036204

0.214424

−0.128846

0.34327

22 H

0.000487

0.096181

−0.000524

−0.095694

0.096705

−0.192399

23 H

0.001044

0.090707

0.00052

−0.089663

0.090187

−0.17985

24 H

−0.005068

0.092197

−0.001853

−0.097265

0.09405

−0.191315

25 C

−0.11745

0.056877

0.153823

−0.174327

−0.096946

−0.077381

26 C

0.248923

−0.167263

0.113671

0.416186

−0.280934

0.69712

27 C

−0.042584

0.370791

0.107162

−0.413375

0.263629

−0.677004

28 C

0.008467

0.334024

0.060823

−0.325557

0.273201

−0.598758

29 C

−0.004117

−0.154673

−0.026183

0.150556

−0.12849

0.279046

30 C

0.008602

0.035121

0.030289

−0.026519

0.004832

−0.031351

31 C

0.017028

0.042398

0.002711

−0.02537

0.039687

−0.065057

32 C

−0.011232

−0.128044

0.066876

0.116812

−0.19492

0.311732

33 C

0.018728

−0.114015

−0.020282

0.132743

−0.093733

0.226476

34 H

0.000022

0.092786

0.000798

−0.092764

0.091988

−0.184752

35 H

−0.001119

0.022979

0.00695

−0.024098

0.016029

−0.040127

36 H

−0.000782

0.103264

0.000598

−0.104046

0.102666

−0.206712

37 O

0.051396

−0.498977

0.220816

0.550373

−0.719793

1.270166

38 H

0.007076

0.007882

−0.010492

−0.000806

0.018374

−0.01918

39 H

−0.009184

0.111216

−0.006734

−0.1204

0.11795

−0.23835

40 O

0.001172

−0.530633

−0.001501

0.531805

−0.529132

1.060937

41 C

0.000491

−0.119387

0.001422

0.119878

−0.120809

0.240687

42 H

0.000004

0.120512

−0.000028

−0.120508

0.12054

−0.241048

43 H

0.0001

0.134414

0.000992

−0.134314

0.133422

−0.267736

44 H

−0.00004

0.123414

0.000005

−0.123454

0.123409

−0.246863

45 H

0.000254

0.130249

−0.003574

−0.129995

0.133823

−0.263818

These findings indicate that electron transfer to the metal occurs predominantly through C (1), whereas O (37) facilitates nucleophilic interactions by generating local electron deficiencies (Figure 14). Such donor–acceptor exchanges reinforce the inhibitor–metal bonding and contribute to the formation of a stable Al–MPIP protective layer. This electronic distribution strongly supports the adsorption capacity of MPIP and its effectiveness in preventing aluminum dissolution in aggressive media, in agreement with previous studies [57] [60].

Figure 14. Electron exchange between the molecule and aluminum.

4. Conclusion

This study investigated the adsorption and corrosion inhibition behavior of (2E)-1-(4-methoxyphenyl)-3-(2-phenylH-imidazo [1, 2-α] pyridine-3-yl) prop-2-en-1-one on aluminum in 1 M HCl. Gravimetric tests demonstrated that the compound exhibits significant inhibition efficiency, which increases with concentration and decreases with temperature. Adsorption follows the Langmuir model, indicating monolayer physisorption primarily driven by van der Waals interactions. Thermodynamic analysis revealed that adsorption is spontaneous, exothermic, and accompanied by increased entropy. DFT calculations and local reactivity analysis identified carbon C (1) and oxygen O (37) as key active sites, confirming the molecule’s ability to transfer electrons to and from the metal surface. These interactions enhance adsorption, forming a protective barrier that effectively reduces aluminum dissolution. Theoretical predictions align closely with experimental observations, supporting the compound’s potential as an effective corrosion inhibitor at low temperatures.

Conflicts of Interest

The authors declare no conflicts of interest regarding the publication of this paper.

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