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Quaternium-22 as a High-Performance Corrosion Inhibitor for Carbon Steel in Acidic Media: Experimental and Theoretical Insights

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25 February 2026

Posted:

27 February 2026

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Abstract
This work provides an integrated experimental and computational assessment of the cationic surfactant Quaternium-22 (Q-22) as a potentially eco-compatible corrosion inhibitor for carbon steel (CS) in 1 M hydrochloric acid. Gravimetric analysis and electrochemical techniques: electrochemical impedance spectroscopy (EIS) and potentiodynamic polarization (PDP) were employed over a 20–50 °C temperature range. Q-22 exhibited mixed-type inhibition behavior, with efficiency rising to 97% at an optimal concentration of 277 μmol L⁻¹. Performance was concentration-dependent but diminished with increasing temperature, indicating partial inhibitor desorption at elevated temperatures. Thermodynamic evaluation confirmed a spontaneous adsorption process aligned with the Langmuir isotherm, involving a mixed physisorption and chemisorption mechanism. Surface characterization via scanning electron microscopy (SEM), atomic force microscopy (AFM), contact angle (CA) measurement, and X-ray photoelectron spectroscopy (XPS) verified the formation of a coherent, hydrophobic inhibitor layer that substantially reduced surface roughness and corrosion damage. Theoretical validation using density functional theory (DFT), natural bond orbital (NBO) analysis, and molecular dynamics (MD) simulations revealed strong adsorption energetics and favorable electronic properties consistent with the inhibitor’s high experimental efficacy. The collective findings establish Q-22 as a potent, eco-compatible corrosion inhibitor for CS in acidic environments, operating through a robust adsorptive film-forming mechanism.
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1. Introduction

The corrosion of metals and alloys represents a pervasive and costly global challenge, with profound implications for industrial safety, economic stability, and environmental integrity [1,2]. Over $2.5 trillion is spent on corrosion worldwide each year, much of which can be avoided with effective management techniques [3]. Nowhere is this more evident than in the petroleum industry, where aggressive environments, characterized by the presence of acids, brines, and corrosive gases, relentlessly attack infrastructure. Carbon steel (CS), the workhorse material for pipelines, tanks, and reactors due to its mechanical strength and cost-effectiveness, is highly susceptible to degradation, particularly in acidic media used for pickling, descaling, and oil well acidizing [4,5]. The transfer of crude oil, which often contains corrosive species like chlorides, carbon dioxide, and hydrogen sulfide, accelerates this degradation, leading to equipment failure, production downtime, environmental contamination, and substantial financial losses [6].
Within the suite of corrosion mitigation strategies, such as protective coatings, cathodic protection, and alloy selection, the application of corrosion inhibitors stands out as a particularly efficient and cost-effective approach, especially for enclosed systems and acidic media [7,8]. These compounds function by introducing a small concentration of chemical species into the aggressive environment. An effective inhibitor adsorbs onto the metal substrate, forming a protective interfacial layer that significantly retards the corrosion rate [9]. In this context, organic molecules featuring heteroatoms (e.g., N, O, S), π-electron systems, and polar functional groups have emerged as highly promising candidates. Their efficacy predominantly stems from their strong adsorption affinity for metal surfaces. Upon adsorption, these molecules block electrochemically active sites and create a physical barrier that isolates the metal from the corrosive electrolyte [10,11,12].
The amphiphilic structure of surfactants, which consists of a hydrophilic head group coupled with a hydrophobic tail, makes them an effective class of organic corrosion inhibitors [13]. While the hydrophobic tail creates a water-repellent barrier that prevents corrosive species from entering acidic media, the hydrophilic head—typically a quaternary ammonium group in cationic surfactants—promotes electrostatic adsorption onto the metal surface [14]. Molecular characteristics like chain length, head group type, and the presence of specific functional groups that increase adsorption strength have a significant impact on the inhibition efficiency [15].
Driven by growing environmental and health concerns, the field of corrosion science is increasingly shifting towards "green" or eco-friendly inhibitors [16,17]. These are characterized by low toxicity, reported biodegradability, and relatively well-documented toxicological profiles. While many traditional inhibitors are effective, their ecological unfriendliness has spurred the search for safer alternatives. In this context, quaternary ammonium compounds (Quats), which are widely used as biocides and disinfectants, are being re-evaluated for their corrosion inhibition potential. Their inherent biodegradability and well-understood toxicological profiles make them attractive candidates for developing effective yet environmentally acceptable inhibitors [18,19].
Quaternium-22 (Q-22), chemically defined as N-(2-hydroxyethyl)-N, N-dimethyl-3-(gluconoylamino)propanaminium chloride, is a cationic surfactant that fits this profile of potentially less hazardous inhibitor. Its molecular structure (C₁₃H₂₉ClN₂O₇) is particularly noteworthy, as it integrates multiple functional groups synergistic to corrosion inhibition within a single molecule: a quaternary ammonium center (N⁺) for strong electrostatic/physisorption to the negatively charged steel surface, a hydrophobic alkyl chain for surface coverage, multiple ether and hydroxyl groups (-O-) from the gluconate moiety for potential chemisorption via lone-pair electrons, and an amide linkage (-NH-CO-) for additional anchoring points [20]. This unique architecture, combining a cationic head with a polar, hydroxy-rich tail, is hypothesized to have a multi-modal adsorption mechanism that could lead to superior inhibition efficiency and film stability. The gluconate moiety is itself known to be benign and biodegradable, enhancing the compound's green credentials [21].
However, despite its commercial availability and multi-functional structure, the corrosion inhibition mechanism of Quaternium-22 for CS in acidic media remains inadequately understood, mostly concerning the synergistic roles of its quaternary ammonium and polyhydroxy gluconate moieties. Therefore, this study addresses this gap through a comprehensive evaluation of Quaternium-22 as an efficient and environmentally acceptable corrosion inhibitor for CS in 1.0 M HCl. Inhibition performance and mechanism were evaluated using gravimetric and electrochemical techniques, complemented by thermodynamic and adsorption analyses. Its mixed adsorption mode and high efficiency at low concentrations were explained mechanistically by using surface characterization and multiscale computational insights to further correlate molecule structure with inhibitory activity.

2. Materials and Methods

2.1. Materials

ASTM Grade A35 carbon steel, which is commonly used in industrial settings, was used to prepare the working electrode. Table 1 describes its chemical composition as verified by optical emission spectrometry. Before each experiment, coupons were mechanically abraded with increasing grades of silicon carbide paper (up to 1200 grit), ultrasonically cleaned in acetone for 10 minutes, thoroughly rinsed with double-distilled water, and dried under a warm air stream to ensure a reproducible surface condition.

2.2. Inhibitor and Solution Preparation

The corrosion inhibitor, Quaternium-22 (Q-22), was acquired from UFC Bio-technology Co., Ltd, USA. Q-22 is a cationic surfactant recognized for its eco-friendly profile, commonly used in cosmetic and antistatic formulations. Its molecular structure, IUPAC name, chemical formula, and molecular weight are detailed in Table 2. An exact amount of Q-22 was dissolved in 1.0 M hydrochloric acid (HCl) to create a stock solution (1.0 × 10⁻² M). This stock was then diluted with the 1.0 M HCl electrolyte to generate all functioning inhibitor solutions. Analytical-grade concentrated HCl (BDH) was diluted with double-distilled water to create an aggressive electrolyte, 1.0 M HCl.

2.3. Gravimetric (Weight Loss) Measurements

Gravimetric measurements were conducted to quantitatively assess the corrosion rate and inhibition efficiency of Q-22 over time. The tests were performed in a 250 mL glass vessel with an inner diameter of 6 cm, containing 100 mL of the test solution (1.0 M HCl with and without inhibitor) and maintained at 25 ± 1 °C. CS coupons, with dimensions of 2.0 × 2.0 × 0.1 cm, were prepared by sequential abrasion with successive grades of silicon carbide paper (from coarse to 1200 grit), followed by ultrasonic cleaning in acetone for 10 minutes, rinsing with double-distilled water, and thorough drying before being accurately weighed.
Each coupon was suspended approximately 1 cm below the solution surface using a glass hook. After a specified immersion period (e.g., 6 hours), the coupons were removed, carefully rinsed with double-distilled water to remove loose corrosion products, dried, and re-weighed. The experiment was performed in triplicate for each condition to ensure reproducibility, and the average weight loss was used for all calculations.
The average weight loss (ΔW), corrosion rate (CR), and inhibition efficiency (IE%) were calculated as follows:
The weight loss for each coupon was determined using:
Wo=WB-WA
where:
Wo = weight of metal loss in the corrosive solution
WB = weight of metal before exposure to the corrosive solution
WA = weight of metal after exposure to the corrosive solution
The corrosion rate (CR) was then calculated from the average weight loss:
C o r r o s i o n   r a t e ( m p y ) = K Δ   W   ρ   A   t
where:
K is a constant (8.76 × 10⁴ for the rate in mpy),
A is the total surface area of the coupon (cm²),
t is the immersion time (hours),
ρ is the density of the CS (g cm⁻³).
The surface coverage (θ) and inhibition efficiency (IE%) were determined as:
θ = Δ W 0 Δ W i n h Δ W 0
I E % = Ɵ × 100 = W 0 W i n h W 0 × 100 %
where:
ΔW0 and ΔWinh are the average weight losses for the blank and inhibited solutions.

2.4. Studies on Electrochemistry

A Gamry Reference 3000™ potentiostat/galvanostat/ZRA was used to perform electrochemical experiments. A typical double-jacketed glass cell with three electrodes was used. The CS rod with a 0.5 cm² exposed geometric area was used as the working electrode; a graphite rod was used as the counter electrode; and a saturated calomel electrode (SCE) was used as the reference. A 1.0 M HCl solution with and without different doses of the Q-22 inhibitor (41, 69, 138, and 277 µmol L⁻¹) served as the electrolyte. A Julabo thermostatic water circulator was used to keep the cell temperature at the specified level (20, 30, 40, or 50 °C). The working electrode was submerged before every test until a stable open-circuit potential (OCP) was reached, which usually took 20 minutes.
At the OCP, electrochemical impedance spectroscopy (EIS) was carried out using a sinusoidal potential perturbation with an amplitude of 10 mV RMS throughout a frequency range of 100 kHz to 0.1 Hz (10 points per decade). Following the EIS measurements, Potentiodynamic Polarization (PDP) scans were obtained. With a scan rate of 0.167 mV s⁻¹, the potential was swept from -250 mV to +250 mV vs. OCP. To guarantee reproducibility, each experiment was carried out three times. Each experiment was repeated three times.

2.5. Surface Characterization

Surface characterization was conducted to provide direct visual, topographical, and chemical evidence for the protective film formation indicated by the electrochemical and gravimetric data. The CS specimens were examined after 24 hours of immersion in 1.0 M HCl, both in the absence (blank) and presence of the optimal concentration of Q-22. Identical sample preparation protocols were followed for all analyses to ensure a direct and consistent comparison.

2.5.1. X-Ray Photoelectron Spectroscopy (XPS):

Surface chemical analysis was conducted via X-ray photoelectron spectroscopy (XPS) using a Kratos Axis Ultra DLD spectrometer. This technique was employed to identify the elemental composition and chemical bonding states, specifically to verify the adsorption of the Q-22 inhibitor on the CS surface.

2.5.2. SEM and AFM

The surface morphological and chemical composition of the CS specimens were examined after 24 hours of immersion in 1.0 M HCl solution, both without inhibitor (blank) and with the optimal concentration of Q-22. The analysis was performed to visually corroborate the protective film formation indicated by the electrochemical and weight-loss data. High-resolution micrographs were obtained using a Field Emission Scanning Electron Microscope (FE-SEM, NOVA NANOSEM 450, FEI, USA). Furthermore, the surface topography and roughness at the nanoscale were quantitatively assessed using an Atomic Force Microscope (AFM, MFP-3D, Asylum Research, USA) operating in tapping mode.

2.5.3. Surface Wettability (Contact Angle) Measurements:

Surface wettability, an indicator of hydrophobicity, was evaluated using an automatic tensiometer (Easy Drop D04010, KRÜSS GmbH, Germany) at 20 °C. The static water contact angle was measured to quantify the change in surface hydrophobicity induced by the inhibitor film.

2.6. Quantum Chemical Studies

2.6.1. Theoretical Computations

Density Functional Theory (DFT) calculations were performed to determine the molecular parameters of Q-22. Structural visualization and vibrational frequency analyses were carried out using GaussView 5.0.9. At the same time, all quantum chemical calculations were conducted with the B3LYP hybrid functional and the 6–311++G(d,p) basis set using the Gaussian 09 package [22]. Global reactivity descriptors, including EHOMO, ELUMO, energy gap (ΔE), dipole moment (μ), ionization potential (I), electron affinity (χ), electronegativity (ϕ), chemical hardness (ψ), softness (S), electrophilicity (ω), nucleophilicity (ε), electro-accepting (ω⁺) and electro-donating (ω⁻) powers, back-donation energy (ΔE), fraction of electron transfer (ΔN), and inhibitor–metal interaction energy (ΔEFe/Q-22), were calculated. Local reactivity was evaluated using Fukui functions [23,24,25], while Natural Bond Orbital (NBO) analysis was employed to examine charge distribution, orbital interactions, and their influence on molecular stability.

2.6.2. Molecular Simulation (MD) Dynamics

The adsorption behavior of Q-22 on the Fe (111) surface was investigated using molecular dynamics (MD) simulations. The metal surface was modeled as a solvent-free vacuum slab under periodic boundary conditions, with a ten-layer Fe (111) supercell and a 30 Å vacuum to prevent interactions between periodic images (simulation box: 24.32 × 24.32 × 9.10 ų). After energy minimization of both the Q-22 molecule and the Fe surface, the inhibitor was adsorbed, and simulations were performed using the COMPASS force field within the Discover module. Adsorption strength was evaluated through interaction and binding energies, while radial distribution function (RDF) analysis was applied to characterize the nature of Q-22–Fe interactions.

2.6.3. NBO Analysis

The intra- and intermolecular interactions of Q-22 were examined using Natural Bond Orbital (NBO) analysis, specifically donor-acceptor interactions between filled (bonding or lone-pair) and empty (antibonding) orbitals. Second-order perturbation theory was used to determine the stabilization energies of these interactions:
E(2) = ΔEij = qi (F (ij) 2 /εjεi)
where q i is the occupancy of the donor orbital, F i j is the off-diagonal Fock matrix element, and ϵ i and ϵ j are the orbital energies of the donor and acceptor, respectively. This analysis provides insight into the electron delocalization and the strength of interactions that govern Q-22 adsorption on the steel surface.

3. Results and Discussion

3.1. Gravimetric (Weight Loss) Measurements

The corrosion behavior of CS in 1.0 M HCl solution, in the absence and presence of varying concentrations of Q-22, was assessed using the weight loss technique. As depicted in Figure 1, the mass loss of CS specimens decreases progressively with increasing concentrations of Q-22, demonstrating the inhibitor’s effectiveness in retarding metal dissolution. This decline in weight loss reflects the ability of Q-22 molecules to adsorb onto the steel surface, thereby limiting the active sites available for the corrosion reaction and forming a protective barrier against the acidic medium.
The linear correlation observed between weight loss and immersion time for both inhibited and uninhibited systems suggests that the corrosion process proceeds uniformly and that no insoluble corrosion products accumulate on the surface during immersion. In such cases, inhibition occurs primarily through the adsorption of inhibitor molecules on the metal surface. These adsorbed species can either physically block anodic and cathodic reaction sites or modify the kinetics of the charge-transfer reactions occurring at the interface.
Data presented in Table 3 for surface coverage (θ) and inhibition efficiency (IE%) indicate that the fraction of the surface covered by the inhibitor increases with rising inhibitor concentration, and consequently, the inhibition efficiency (IE%) shows a corresponding enhancement.
As the Q-22 concentration increases from 41 to 277 μmol L⁻¹, the corrosion rate decreases markedly, while inhibition efficiency enhances significantly. This trend is attributed to the cationic surfactant nature of Q-22, which promotes molecular adsorption through electrostatic interactions between the positively charged quaternary ammonium headgroups and the negatively charged steel surface. Additionally, the polar functional groups and hydrophilic moieties of Q-22 facilitate stronger anchoring and more homogeneous surface film formation. The adsorbed inhibitor film minimizes metal dissolution by blocking electrolyte access and suppressing both anodic and cathodic reactions [26].
Overall, the gravimetric results confirm that adsorption at the metal–solution interface is the predominant mechanism of corrosion inhibition, with efficiency directly linked to the degree of surface coverage by Q-22 molecules.

3.2. Electrochemical Measurements

3.2.1. Electrochemical Impedance Spectroscopy (EIS) Measurements

Nyquist and Bode plots for CS in the absence and presence of various Q-22 concentrations (41 - 277 µmol L⁻¹) at temperatures ranging from 20 to 50 °C are presented in Figure 2 and Figure 3. The Nyquist plots (Figure 2a and Figure 2b, 2c & 2d) consistently display a single, depressed capacitive loop, the diameter of which increases significantly with increasing Q-22 concentration. The depression of the semicircle, a common feature attributed to surface inhomogeneity and roughness [27], was accounted for in the analysis by replacing an ideal capacitor with a constant phase element (CPE). The impedance spectra consistently feature a prominent capacitive loop, accompanied by a low-frequency inductive dispersion (inductive arc). This inductive feature is commonly ascribed to the relaxation of adsorbed intermediates involved in the anodic dissolution process [28,29]. As is frequently noted for adsorbed intermediates in acidic corrosion systems, the low-frequency inductive loop was not included in the fitting because of its weak contribution and instability.
The corresponding Bode plots (Figures 3a-3d) show a single, well-defined time constant, confirming that the corrosion process is governed by a single charge-transfer mechanism.
The experimental impedance data were fitted to the equivalent circuit model shown in Figure 4. This model represents the physical electrode-electrolyte interface, where the charge-transfer resistance (Rct), the resistance between the metal and the outer Helmholtz plane that governs the corrosion rate, is connected in parallel with a CPE representing the non-ideal double layer, and both are in series with the solution resistance (Rs). The primary parameters derived from this fitting, Rct and CPE, are summarized in Table 4.
The inhibition efficiency (IE%) and surface coverage (θ) were calculated from the charge-transfer resistance values using the following equations:
θ = 1 R ct o R ct
% I E = 1 R ct o R ct × 100
Where Roct and Rct are the charge transfer resistances for uninhibited and inhibited solutions, respectively.
Analysis of the data reveals a clear trend: the value of Rct increases markedly with increasing Q-22 concentration, while the effective double-layer capacitance (Cdl) decreases. The increase in Rct signifies a higher energy barrier for the corrosion reaction, directly leading to the observed enhancement in inhibition efficiency (up to 97% at 277 µmol L⁻¹). The concurrent decrease in Cdl suggests the displacement of water molecules and aggressive ions from the interface by adsorbed Q-22 inhibitor molecules, leading to either an increase in the thickness of the protective layer or a decrease in the local dielectric constant [30]. This behavior is inconsistent with the adsorption of Q-22 molecules, forming an insulating barrier that effectively shields the CS surface from the corrosive HCl medium.
The high inhibition performance is attributed to the multifunctional molecular structure of Q-22, which features a quaternary ammonium center (N⁺) for strong electrostatic adsorption and a polar gluconate tail with multiple electron-donating oxygen atoms, facilitating robust surface coverage.

3.2.2. Potentiodynamic Polarization

Potentiodynamic polarization (PDP) curves for CS immersed in 1.0 M HCl solution, both without and with varying concentrations of the surfactant Q-22, measured at different temperatures (20, 30, 40, and 50 °C), are presented in Figure 5 (a)– 5(d). Key corrosion parameters derived from these curves, such as corrosion current density (icorr), corrosion potential (Ecorr), anodic and cathodic Tafel slopes (βcandβα), degree of surface coverage (θ ), and inhibition efficiency (%IE), were all evaluated as a function of Q-22 concentration and solution ambient temperature, as summarized in Table 5.
The polarization resistance ( R p ) was calculated using the Stern–Geary equation:
R p = β a β c 2.303   i c o r r ( β a + β c )
The inhibition efficiency (IE%) and surface coverage (θ ) were determined from the corrosion current density ( i c o r r ) :
I E % = Ɵ × 100 = = i c o r r 1 i c o r r 2 i c o r r 1 × 100
where i c o r r 1 and i c o r r 2 are the corrosion current densities in the absence and presence of the inhibitor, respectively.
Analysis of the polarization curves and Table 5 reveals several key findings:
I.
The obtained cathodic and anodic polarization curves exhibit Tafel-type behavior. Addition of the investigated inhibitors to the corrosive acid medium decreases the anodic polarization current more than the cathodic one at all temperatures (mixed control) with a concomitant shift of Ecorr towards positive values. The pronounced positive shift in Ecorr values and the greater suppression of the anodic branch classify Q-22 as a mixed-type inhibitor with a predominant anodic effect [31,32], which preferentially restrains the anodic reaction of CS corrosion in HCl solution [33]. A shift in Ecorr greater than 85 mV is commonly used as a benchmark to categorize inhibitors as either anodic or cathodic [34]. Therefore, despite the anodic predominance, both anodic and cathodic reactions are inhibited.
II.
The corrosion current density (icorr.) for CS in 1.0 M HCl solution decreases with increasing inhibitor concentration (Q-22), which indicates that the presence of these compounds retards the dissolution of CS in 1.0 M HCl solution, and the degree of inhibition depends on both concentration and temperature of the corrosive medium. A maximum inhibition efficiency of 97.21% was achieved at the optimal concentration of 277 µmol L⁻¹. This concentration-dependent behavior is characteristic of adsorption-based inhibitors forming a protective layer on the metal surface [35]. However, a temperature-dependent decrease in efficiency at fixed concentrations suggests thermal desorption of the inhibitor, compromising the protective layer [36]. The inhibition efficiencies calculated from potentiodynamic polarization align closely with gravimetric measurements.
III.
The slopes of the cathodic and anodic Tafel curves (βc and βa) are slightly changed on increasing the concentration of the tested compound. This indicates that the fundamental corrosion reaction mechanism is unaltered. The fact that the values of βc are slightly higher than βa suggests that the inhibitive action of this inhibitor is by blocking the active sites on the CS surface, forming a barrier film without changing the reaction kinetics and consequently decreasing the surface area available for the electrochemical reactions [37,38].

3.3. Adsorption Studies and Thermodynamic Isotherm

Adsorption isotherms describe the relationship between the concentration of an inhibitor in solution and the extent of its adsorption on a metal surface at constant temperature. These equations are generally expressed as [39]:
f(θ,x)exp(-a,θ)=KCinh (10)
where f(θ, x) is the configurational factor depending on the physical model and assumptions of the isotherm, a is a molecular interaction constant independent of surface coverage (θ), and K is the equilibrium constant for the adsorption–desorption process. The standard free energy of adsorption (ΔG°ads.) is related to Kads through the following expression [40]:
Kads = 1/55.5 exp (-ΔG°ads. / RT) (11)
Here, 55.5 represents the molar concentration of water in the solution, R (8.314 J mol⁻¹ K⁻¹) is the universal gas constant, and T is the absolute temperature in Kelvin.
To understand the adsorption mechanism of Q-22 molecules on the CS surface, adsorption isotherm calculations were conducted. The surface coverage (θ), calculated as θ = %IE/100 from polarization data, was used to fit the most appropriate adsorption model.
Various isotherms, Temkin, Freundlich, Frumkin, and Langmuir, were tested to determine the adsorption behavior. The experimental data showed the highest correlation coefficient () with the Langmuir isotherm, indicating monolayer adsorption of Q-22 molecules on the CS surface. The Langmuir model is expressed as:
C / θ = 1 / K ads + C
where C is the equilibrium inhibitor concentration (mol L⁻¹), θ is the fractional surface coverage, and Kads is the adsorption equilibrium constant (L mol⁻¹). The parameter Kads reflects the strength of interaction between the inhibitor and metal surface; a higher value signifies stronger adsorption and higher inhibition efficiency.
log θ = log K a d s + 1 n log C i n h
While 1/n is a function of the strength of adsorption during the adsorption process, the constant Kads is an estimated measure of adsorption capacity [41]. The division between the two phases is independent of concentration if n = 1. A normal adsorption is indicated if 1/n is less than one. Conversely, cooperative adsorption is indicated if 1/n is greater than one [42]. The empirical finding that the quantity adsorbed rises more slowly and that bigger concentrations are needed to saturate the surface is reflected in the constants Kads and n as the temperature rises.
Figure 6 displays a Langmuir adsorption plot of C/θ vs. Cinh for the adsorbed organic chemical (Q-22) on the surface of CS in a 1.0 M HCl acid solution at 20, 30, 40, and 50 °C. Figure 6 and Figure 7 provide a linear relationship showing that the adsorption of the tested chemicals (Q-22) on the CS surface obeys Langmuir's adsorption isotherm. The slope value is equal to unity, and the intercept value is equal to 1/Kads.
Table 6 demonstrates that Kads values fall as the temperature rises. This finding suggests that certain adsorbed inhibitor molecules are desorbed from the surface as a result of the temperature increase. In fact, it aligns with the suggested physisorption process [43]. The strength between the adsorbent and adsorbate is commonly indicated by Kads. Higher Kads values indicate more effective adsorption and, hence, more effective protection.
The standard free energy of adsorption (ΔG°ads) and the equilibrium constant of adsorption (Kads) are connected, as may be determined using Equation (10). However, the Van't Hoff equation [44] could be used to compute the standard enthalpy of adsorption (ΔH0ads):
l n K a d s = Δ H a d s o R T + Δ S a d s o R
or,
d l n K a d s d T = Δ H a d s o R T 2
A plot of ln Kads versus 1/T (Figure 7) provides a linear fit, from which Δ H a d s ° can be determined from the slope (− Δ H a d s ° /R). The intercept yields the entropy term ( Δ S a d s ° /R). Using these values listed in Table 7, the standard entropy of adsorption ( Δ S a d s ° ) was calculated from the Gibbs–Helmholtz relation:
Δ G a d s o = Δ H a d s o T Δ S a d s o
It is widely acknowledged that adsorption types are considered physisorption for values of Δ G a d s ° up to −20 kJ mol-1, indicating that the inhibitory effect is caused by the electrostatic interaction between charged molecules and charged metal. Chemisorption, which is caused by charge sharing or transfer from the inhibitor molecules to the metal surface to create a coordinated type of bond, is identified by values of Δ G a d s ° around −40 kJ mol-1 or more negative [45]. The free energy of adsorption Δ G a d s ° values in the current work are found to be negative, and changes for Q-22 are 37.4 to 39.8 kJ mol-1 required for a comprehensive adsorption. Mixed adsorption, also known as chemi/physisorption, has recently been found to have free energy change values between -28 and -38 kJ mol-1 [46,47]. The results of the present study are therefore consistent with the chemi/physisorption method of adsorption [48,49,50]. Furthermore, the fact that %IE decreases as temperature rises indicates that physical adsorption is the primary mechanism [51].
The negative sign of Δ H a d s ° (Table 7) confirms that the adsorption process is exothermic [44,52], while the positive Δ S a d s ° values indicate increased randomness at the metal–solution interface during adsorption. This entropy increase can be attributed to the displacement of water molecules from the steel surface by inhibitor molecules, leading to a more disordered interfacial region [53]. Consequently, the combined thermodynamic results affirm that Q-22 adsorption on carbon steel in 1.0 M HCl occurs spontaneously through a mixed physisorption–chemisorption mechanism, forming a stable and protective adsorbed layer.

3.4. Corrosion Kinetic and Thermodynamic Studies

To better understand the inhibition mechanism of Q-22 on CS in 1.0 M HCl, kinetic and thermodynamic analyses were carried out. These evaluations provide insight into the energy barriers and molecular interactions involved in the corrosion and inhibition processes.
The apparent activation energy (Eₐ), enthalpy of activation (ΔH*), and entropy of activation (ΔS*) for carbon steel dissolution were determined in both uninhibited and inhibited media using the Arrhenius and transition-state models [54]. The temperature dependence of the corrosion rate, expressed through the corrosion current density (icorr), was fitted to the Arrhenius relationship:
Rate = A exp (-ΔEa/RT)
and the transition-state equation:
Rate = RT/Nh exp (ΔS*/R) exp (-ΔH*/RT)
where A is the frequency factor, h is Planck's constant, N is Avogadro's number, R is the universal gas constant, and T is the absolute temperature in K.
Linear plots of log icorr vs. 1/T, Figure 8, and log (icorr /T) vs. 1/T, Figure 9, produced straight lines whose slopes correspond to -Ea/2.303R, and -ΔH*/2.303R, respectively. The intercepts of these plots yield (2.303 log A) and (log (R/Nh) + ΔS*/2.303R) for Arrhenius and transition-state equations. The resulting activation parameters (the apparent activation energy, Ea, activation entropies, ΔS*, and activation enthalpies, ΔH*) are summarized in Table 8. The values of activation energy (Ea) were consistently higher in the presence of surfactant Q-22 than in its absence, and Ea increased with inhibitor concentration. This trend indicates that the surfactant molecules create an energetic barrier by adsorbing onto the steel surface and blocking active corrosion sites, thereby impeding charge-transfer reactions [55].
The activation parameters ΔH* and ΔS* were further evaluated using the transition-state formulation, an alternative form of the Arrhenius equation [56].
C R = R T N h e x p S * R     e x p H * R T
In this expression, the corrosion rate (CR) depends on N (Avogadro’s number), R (the universal gas constant), h (Planck’s constant), and T (temperature in Kelvin). The parameters ΔH* and ΔS* represent the enthalpy and entropy of activation, respectively.
All systems exhibited positive ΔH* values, confirming that the corrosion of carbon steel in HCl is an endothermic process. Moreover, both ΔH* and ΔS* values were lower than the corresponding Eₐ, suggesting that the transition from reactants to the activated complex requires energy input and involves a more ordered configuration. Notably, the relatively high and negative values of ΔS* suggest that the transition from reactants to the activated complex involves a decrease in system randomness. This behavior implies that during the rate-determining step, the transition complex is more ordered, representing an association rather than a dissociation process [57,58].
The magnitude and sign of ΔS* further suggest that the corrosion process, especially in the presence of Q-22, involves the formation of a structured interface where inhibitor and water molecules organize around the carbon steel surface. Such ordering facilitates the adsorption of Q-22 molecules onto the metal surface, stabilizing the protective layer and minimizing the availability of active corrosion sites.
Moreover, as the concentration of Q-22 increases, both Ea and ΔH* rise, signifying that the inhibitor elevates the energy threshold required for corrosion reactions to occur. Concurrently, the increasingly negative ΔS* values indicate a greater degree of surface organization, corresponding to the development of a compact, adsorbed inhibitor film that effectively hinders both the anodic and cathodic processes.
Overall, the kinetic and thermodynamic analyses confirm that Q-22 acts as an efficient corrosion inhibitor for CS in 1.0 M HCl. It suppresses metal dissolution primarily through adsorption, forming a dense, thermally stable film that reduces reaction kinetics and alters the energetic landscape to favor surface passivation.

3.5. Surface Characterization

3.5.1. Scanning Electron Microscopy (SEM) Analysis

The surface morphology of CS was examined using scanning electron microscopy (SEM) to provide direct visual evidence of corrosion and inhibition. Samples were analyzed in three states: pristine (unexposed), after 24 h immersion in uninhibited 1.0 M HCl, and after immersion in HCl containing 277 µmol L⁻¹ Q-22. Scanning Electron Microscopy (SEM) works by directing a focused beam of electrons over the surface of a sample. The interaction between the electrons and the atoms of the sample generates signals from secondary and backscattered electrons. These signals are then collected to create high-resolution images that offer detailed insights into the surface topography, microstructural changes, and the presence of corrosion products or protective films [59,60].
The SEM micrographs are presented in Figure 10 (a, b), which depict scanning electron micrographs of an unexposed specimen of CS, alongside a CS sample that was exposed 24 hours to a blank 1.0 M HCl solution. Figure 10 (c) displays scanning electron micrographs of CS specimens that were exposed for 24 hours to a 1.0 M HCl solution containing 277 µmol L⁻¹ of Q-22.
Figure 10(a) illustrates that the surface of the pristine carbon steel (CS) metal is entirely free from any pits or cracks. In contrast, Figure 10 (b) shows significant damage across the entire CS surface after being immersed in a 1.0 M HCl solution, characterized by uniform corrosion and extensive surface roughness and etching. Figure 10 (c) indicates that, in the presence of 277 µmol L⁻¹ of the Q-22 inhibitor, the metal surface is largely covered by an adsorbed inhibitor layer. This treatment results in much less corrosion compared to the specimen exposed to the acid solution without the inhibitor, effectively reducing the formation of corrosion pits and impeding direct acid attack on the steel substrate.
Better results can be seen from the micrograph with the presence of 277 µmol L-1 Q-22 depicted in Figure 10 (c). Thus, examining micrographs reveals that the inhibitor molecules Q-22 give higher adsorption on the surface, resulting in the formation of a protective inhibition film, which supports the chemical and electrochemical results well. Additionally, these microstructural features confirm that Q-22 molecules adsorb strongly on the CS surface, forming a stable, adherent, and continuous barrier film.

3.5.2. AFM Analysis

Atomic Force Microscopy (AFM) was utilized to quantitatively assess the surface topography and roughness of CS samples after 24 hours of immersion at 20 °C, both in uninhibited and Q-22-inhibited (277 µmol L⁻¹) HCl. AFM provides three-dimensional surface images and nanoscale roughness measurements, offering valuable insight into the microstructural effects of corrosion and the protective film formation induced by inhibitors [59,61].
The root mean square (RMS) roughness was used as a key parameter to evaluate the extent of surface degradation and the effectiveness of the inhibitor. The RMS value reflects the degree of surface irregularity: a higher RMS corresponds to more severe corrosion, while a lower RMS indicates a smoother and more protected surface. The measured RMS values for the different samples are summarized in Table 9, and representative AFM micrographs are presented in Figure 11(a–c).
Figure 11(a) displays the three-dimensional surface topography of a blank CS specimen, whereas Figure 11 (b) presents the atomic force micrograph of a CS specimen after immersion in 1.0 M HCl solution. Figure 11 (c) shows the atomic force micrographs of a CS specimen in 1.0 M HCl solution containing (277 µmol L-1 Q-22) corrosion inhibitor, all after 24 h immersion at 20 oC.
The surface morphology of the CS was severely corroded when exposed to an HCl solution without an inhibitor. This can be qualitatively seen from AFM micrographs, as there is the formation of deep holes and pits due to the aggressive chloride environment, giving a high RMS value of approximately 200 nm.
The average RMS value for CS is significantly reduced to 30 nm in the presence of (277 µmol L-1 Q-22). The smoothness and homogeneity of the surface are due to the formation of a compact protective film on the metal surface, which can effectively inhibit the corrosion of CS in HCl solution.
The above parameters observed for CS in the presence of (277 µmol L-1 Q-22) corrosion inhibitor is smaller than the AFM data of polished metal surface in hydrochloric acid, which confirms the formation of an adsorbed film on the surface having the ability to protect and isolate the metallic substrate from the aggressive environment. This organic layer acts as a physical barrier, impeding the diffusion of corrosive ions and preventing localized acid attack on the substrate [62,63].
These results confirm that Q-22 molecules adsorb onto the CS surface to form a compact and highly protective film. The significant reduction in RMS roughness from 200 nm to 30 nm provides direct, quantitative proof of the film's efficacy in preventing corrosion.

3.5.3. XPS Analysis

High-resolution X-ray photoelectron spectroscopy (XPS) was employed to elucidate the chemical composition and bonding characteristics of the protective film developed on the CS surface after immersion in 1.0 M HCl containing the Q-22 inhibitor. The survey spectra revealed the presence of characteristic peaks corresponding to Fe 2p, O1s, C1s, and N1s, confirming the coexistence of metallic and organic constituents on the surface.
Figure 12 illustrates the XPS survey spectra of CS specimens immersed for 24 hours in 1.0 M HCl, both in the absence and presence of 277 µmol L⁻¹ Q-22. The C 1s spectrum (Figure 13a) of the Q-22–treated surface exhibits a dominant photoemission peak centered around 284.8 eV, which corresponds to C–C/C–H bonds typically associated with the long alkyl chains of quaternary ammonium surfactants. Additionally, a noticeable secondary peak appearing at approximately 286–287 eV is assigned to C–N bonding, confirming the incorporation of nitrogen-containing groups on the steel surface.
These observations demonstrate that the organic film detected on the surface originates from the adsorption of Q-22 molecules, verifying the formation of an inhibitor-derived protective layer rather than contamination from adventitious carbon species [63].
The N 1s region Figure 13 (b) provides further insight into the adsorption mechanism. The Q-22 spectrum exhibits multiple components: a strong quaternary N⁺ peak near ~400 eV, together with a lower-binding-energy feature at ~398–399 eV assigned to Fe–N coordination, indicating nitrogen–metal interaction [64]. The presence and relative intensity of this low-BE N component suggest that, in addition to electrostatic adsorption via its positively charged headgroup, Q-22 undergoes chemisorptive bonding with the carbon-steel surface through partial electron donation from nitrogen (and possibly oxygen) atoms to vacant Fe d-orbitals. Similar Fe–N bonding behavior has been widely observed in studies of quaternary ammonium and nitrogen-based inhibitors [65] [62] [66].
This interpretation is further corroborated by the Fe 2p spectra presented in Figure 13( c), which reveals a significant reduction in the intensity of metallic iron peaks for the inhibited sample compared to the blank surface. The Fe 2p₃/₂ and Fe 2p₁/₂ components exhibit both diminished intensity and slight positive shifts in binding energy, indicating the formation of a Q-22–metal interfacial complex. These spectral changes suggest that the inhibitor molecules strongly interact with surface Fe atoms, modifying their electronic environment. The marked suppression of the Fe⁰ signal, together with the reduced contribution of iron oxide species, implies the development of a compact organic protective layer that effectively isolates the metal substrate from the aggressive acidic medium. This observation confirms that Q-22 promotes efficient surface passivation through the formation of a stable and adherent film [65,67].
Overall, the XPS results confirm that Q-22 adsorbs onto the carbon-steel surface via a mixed physical-chemical mechanism. The quaternary ammonium headgroup anchors electrostatically to the negatively charged, chloride-covered surface, while the nitrogen atoms form coordinate (Fe–N) bonds, enhancing the film’s stability. Simultaneously, the long hydrophobic alkyl chains align outward, generating a compact, low-permeability barrier against acid attack. This dual mechanism—electrostatic attraction followed by chemisorptive stabilization—results in a strongly bound, uniform, and corrosion-resistant film [62,61].
These XPS surface-chemical insights are fully consistent with the electrochemical and weight-loss measurements. The formation of a thicker and more cohesive film of Q-22 enhances the charge-transfer resistance (Rct) observed in EIS, increases the polarization resistance (Rp), reduces the corrosion current density (icorr) in Tafel polarization, and lowers the measured mass loss, collectively confirming the inhibitor’s superior performance. Furthermore, analysis of the adsorption behavior using the Langmuir isotherm shows that Q-22 has a high adsorption equilibrium constant (Kads) and a more negative ΔG°ads, indicating strong and spontaneous adsorption, which aligns with the chemisorption characteristics inferred from the N 1s spectrum [59,65].

3.5.4. Surface Wettability Analysis (Contact Angle)

The protective film formed by Q-22 was further evaluated by investigating its effect on the CS surface's wettability via contact angle measurements. The wettability of a surface is a key factor in corrosion resistance, as a hydrophobic surface can act as an effective barrier against an aqueous corrosive medium by impeding electrolyte contact [68].
Figure 14(a) shows the water contact angle for a freshly polished CS sample, which was ~63°, indicating a moderately hydrophilic surface. After immersion in the aggressive 1.0 M HCl solution without an inhibitor, the surface became highly hydrophilic, with the contact angle drastically decreasing to ~34° Figure 14 (b). This behavior is attributed to surface roughening and the formation of corrosion products, which increase the surface’s affinity for water and facilitate wetting.
In stark contrast, the surface inhibited with 277 µmol L⁻¹ of Q-22 exhibited a strongly hydrophobic character, with a contact angle of ~101° Figure 14 (c). This remarkable increase provides direct, quantitative evidence that Q-22 molecules form a coherent and hydrophobic film on the steel surface [69,70]. Effective surface hydrophobization is confirmed by this value of ~101°, which is comparable to or exceeds those reported for effective hydrophobic inhibitor coatings on carbon steel (typically in the range of ~85–100°). The adsorption of Q-22, with its long alkyl chain, displaces water molecules and creates a non-polar barrier. This hydrophobic layer physically impedes the contact and penetration of the aqueous corrosive electrolyte, thereby significantly enhancing the corrosion inhibition efficiency [71]. Additionally, similar contact angle values have been documented for steel surfaces protected by effective organic inhibitors and surfactants in acidic environments [70], suggesting the development of a compact and water-repellent protective coating [72]. This result is consistent with the protective film observed in the SEM and AFM micrographs, providing a functional property (hydrophobicity) that directly explains the superior electrochemical performance of Q-22.

3.6. DFT studies

Density Functional Theory (DFT) was employed to investigate the electronic reactivity and inhibition performance of Q-22 and its protonated form (Q-22H⁺). Quantum chemical descriptors, including EHOMO, ELUMO, energy gap (ΔE), dipole moment (μ), ionization potential (I), electron affinity (A), electronegativity (χ), hardness (η), softness (S), electrophilicity (ω), nucleophilicity (ε), electro-accepting (ω⁺) and electro-donating (ω⁻) powers, back-donation energy (ΔE_back), fraction of electron transfer (ΔN), and inhibitor–metal interaction energy, were calculated and summarized in Table 10 and Table 11. The HOMO is primarily localized on ring groups and heteroatoms, identifying these as preferred electron-donating sites, which is consistent with the improved inhibition efficiency and experimental results [73,74,75,76,77]. Smaller ΔE values, low μ, and low χ indicate high chemical reactivity, while high softness suggests effective electron donation to the carbon steel (CS) surface. Protonation increases softness and surface adherence of Q-22H⁺, enhancing protection compared to neutral Q-22 [82,83].
Local reactivity was evaluated using Fukui functions (Eqs. 19–21) [24,25], with nucleophilic (f⁺) and electrophilic (f⁻) attack sites identified in Table 12 and Table 11.
f + k = qk (N + 1) − qk (N) ( nucleophilic attack)
f k = qk (N) − qk (N − 1) ( electrophilic attack)
Δfk = f+k − fk
where qk(N),qk(N +1), and qk(N − 1) are the charge values of atoms k for neutral, anionic, and cationic, respectively. Δfk is the dual descriptor that Morell et al. presented, which is calculated as the difference between the nucleophilic and electrophilic Fukui functions [85,84].
In neutral Q-22, O15, C41, and C45 are nucleophilic centers, whereas O17, O18, C19, O22, O23, and C41 are electrophilic sites. Protonation alters the active sites, creating O15 and Cl1 as nucleophilic and C49–C51 as electrophilic centers in Q-22H⁺. Molecular electrostatic potential (MEP) and electrostatic potential (ESP) maps (Figure 17) confirm that regions around heteroatoms (N, Cl, O) are electron-rich (red/yellow, nucleophilic), whereas the aromatic rings are electron-deficient (blue, electrophilic), supporting the proposed adsorption mechanism on the CS surface [86,87].
Figure 15. Optimized structure of the Q-22 and Q-22H+ using the B3LYP/6-311++G(d,p) basis set.
Figure 15. Optimized structure of the Q-22 and Q-22H+ using the B3LYP/6-311++G(d,p) basis set.
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Figure 16. Frontier molecular orbitals HOMO and LUMO of the Q-22 and Q-22H+ using the B3LYP/6-311++G(d,p) basis set.
Figure 16. Frontier molecular orbitals HOMO and LUMO of the Q-22 and Q-22H+ using the B3LYP/6-311++G(d,p) basis set.
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Figure 17. ESP and MEP distribution of the neutral Q-22 and Q-22H+ using the B3LYP/6-311++G(d,p) basis set.
Figure 17. ESP and MEP distribution of the neutral Q-22 and Q-22H+ using the B3LYP/6-311++G(d,p) basis set.
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3.6.1. Natural Bond Orbital (NBO) Analysis

Natural Bond Orbital (NBO) analysis was performed to investigate charge transfer and electronic stabilization in Q-22. Second-order perturbation energies (E²) quantify electron delocalization from filled orbitals, including bonding (BD) and lone pairs (LP), to empty antibonding (BD*) or Rydberg (RY*) orbitals, providing insight into hyperconjugation, resonance, and non-covalent interactions that stabilize the molecule [88,89,90,91]. The most significant contributions (Table 12) arise from LP(1) N24 → πN22–C16 (65.21 kcal·mol⁻¹), LP(1) O14 → πC10–O24 (60.05 kcal·mol⁻¹), LP(1) O12 → πC13–O26 (59.83 kcal·mol⁻¹), and πC25–O28 → πC27–O13 (55.05 kcal·mol⁻¹), with additional stabilization from N24 → πCl51–N22 (13.19 kcal·mol⁻¹). These results highlight the key role of nitrogen, oxygen, and chlorine lone pairs in hyper conjugation and electron delocalization, supporting strong inhibitor–metal interactions. Overall, the high E² values indicate substantial electronic stabilization of Q-22, consistent with its observed corrosion inhibition efficiency and experimental PDP, EIS, and surface analysis results.

3.6.2. Molecular Simulation Dynamics

The adsorption of Q-22 on the carbon steel (CS) surface was investigated using molecular dynamics (MD) simulations. The inhibitor was positioned on a solvent-free Fe (111) surface, and the interaction (E_interaction) and binding (E_binding) energies were calculated using Eqs. (22–23) [90], yielding −732.67 kcal·mol⁻¹ for both energies, indicating strong adsorption.
Einteraction=Etotal−(Esurface+solution−Einhibitor)
Ebinding=−Einteraction
As shown in Figure 18, Q-22 adopts a nearly parallel orientation on the Fe surface, maximizing coverage through interactions involving aromatic π-electrons, nitrogen, oxygen, and chlorine atoms. Equilibrium parameters for Q-22 and Q-22H⁺ are listed in Table 13, while adsorption energies are depicted in Figure 19. Radial distribution function (RDF) analysis (Figure 20) shows a dominant peak below 3.5 Å, confirming chemisorption, with additional peaks beyond 3.5 Å reflecting physisorption. These results demonstrate that Q-22 achieves strong and stable adsorption, facilitating effective electron donation and acceptance at active sites, consistent with theoretical predictions, MD simulations, and experimental surface analyses [83].

5. Conclusions

This comprehensive study demonstrates that Q-22 is an effective and potentially eco-benign corrosion inhibitor for CS in a 1.0 M HCl environment. The integration of gravimetric, electrochemical, surface morphological, and theoretical analyses leads to the following definitive conclusions:
  • Q-22 functions as an outstanding mixed-type corrosion inhibitor, achieving a maximum inhibition efficiency of 97.2% at an optimal concentration of 277 µmol L⁻¹. Its performance is concentration-dependent, with efficiency increasing as the inhibitor dosage rises.
  • Electrochemical studies confirm that Q-22 adsorbs strongly onto the CS surface, leading to a substantial increase in charge transfer resistance (Rct) and a marked reduction in double-layer capacitance (Cdl). These findings indicate the formation of a dense, adherent, and resistive protective film that impedes ionic and molecular transport to the metal surface.
  • Adsorption studies reveal that the inhibitor’s adsorption on the steel surface is spontaneous and monolayer-forming, following the Langmuir adsorption isotherm. The calculated standard free energy of adsorption (ΔG° ≈ -37 kJ mol⁻¹) suggests that both physisorption and chemisorption contribute to the inhibition mechanism.
  • Thermodynamic analysis reveals that the presence of Q-22 substantially increases the apparent activation energy (Ea) of the corrosion process, indicating that the inhibitor raises the energy barrier for metal dissolution, primarily through a physisorption–chemisorption adsorption mechanism.
  • Direct visual evidence from SEM, AFM, and XPS analyses corroborates the electrochemical findings. The inhibited surface remains smooth and uniform, with a drastically reduced roughness (RMS = 30 nm) compared to the severely corroded, pitted surface in the blank acid (RMS = 200 nm), signifying the formation of a continuous and stable protective layer.
  • The experimental results and quantum chemical (DFT) and molecular modeling analyses, such as NBO and MD simulations, show that Q-22 has strong electron-donating and accepting capabilities that facilitate efficient adsorption on the metal surface and support the suggested inhibition mechanism.
In conclusion, Q-22 demonstrates outstanding inhibition efficiency for carbon steel corrosion in acidic environments through a spontaneous adsorption mechanism that produces a robust and adherent surface film. Its performance and molecular characteristics make it a promising candidate for use as a green corrosion inhibitor in industrial applications.

Author Contributions

Conceptualization, M.A., N.E., A.S.E., S.A.H. and M.A.M.I.; methodology, M.A. and S.A.H.; validation, M.A., N.E. and M.A.M.I.; formal analysis, N.E., A.S.E., and S.A.H.; investigation, M.A, N.E., A.S.E., and S.A.H.; resources, N.E., A.S.E., and S.A.H.; writing—original draft preparation, M.A., and M.A.M.I..; writing—review and editing, N.E., A.S.E., S.A.H. and M.A.M.I., supervision, M.A.M.I. and N.E. All authors have read and agreed to the published version of the manuscript.

Funding

This research received no external funding.

Data Availability Statement

All data generated or analyzed during this study are included in this published article.

Acknowledgments

The authors sincerely acknowledge the Department of Chemistry, Ain Shams University, for providing the research facilities and financial support necessary to complete this study.

Conflicts of Interest

The authors declare that they have no conflicts of interest.

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Figure 1. Weight loss versus time for CS in 1.0 M HCl without and with different Q-22 concentrations at 20 °C.
Figure 1. Weight loss versus time for CS in 1.0 M HCl without and with different Q-22 concentrations at 20 °C.
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Figure 2. Nyquist plots for CS in 1.0 M HCl without and with Q-22 at (a) 20, (b) 30, (c) 40, and (d) 50 °C.
Figure 2. Nyquist plots for CS in 1.0 M HCl without and with Q-22 at (a) 20, (b) 30, (c) 40, and (d) 50 °C.
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Figure 3. Bode plots (modulus and phase angle) corresponding to the conditions in Figure 2.
Figure 3. Bode plots (modulus and phase angle) corresponding to the conditions in Figure 2.
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Figure 4. The exact equivalent circuit model used to fit the obtained impedance spectra.
Figure 4. The exact equivalent circuit model used to fit the obtained impedance spectra.
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Figure 5. Potentiodynamic polarization curves for CS in 1.0 M HCl without and with Q-22 at (a) 20, (b) 30, (c) 40, and (d) 50 °C.
Figure 5. Potentiodynamic polarization curves for CS in 1.0 M HCl without and with Q-22 at (a) 20, (b) 30, (c) 40, and (d) 50 °C.
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Figure 6. Langmuir adsorption isotherm for Q-22 on the CS in 1.0 M HCl at various temperatures (derived fromTafel polarization data).
Figure 6. Langmuir adsorption isotherm for Q-22 on the CS in 1.0 M HCl at various temperatures (derived fromTafel polarization data).
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Figure 7. Van't Hoff Relationship between ln Kads and 1/T for the adsorption of Q-22 molecules on CS surface in 1.0 M HCl solution.
Figure 7. Van't Hoff Relationship between ln Kads and 1/T for the adsorption of Q-22 molecules on CS surface in 1.0 M HCl solution.
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Figure 8. Arrhenius relationship between log icorr and 1/T for CS in 1.0 M HCl, obtained at various concentrations of the Q-22 corrosion inhibitor.
Figure 8. Arrhenius relationship between log icorr and 1/T for CS in 1.0 M HCl, obtained at various concentrations of the Q-22 corrosion inhibitor.
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Figure 9. Transition-state plots of log (icorr/T) versus 1/T for CS immersed in 1.0 M HCl solution, illustrating the effect of different Q-22 inhibitor concentrations on the activation parameters of the corrosion process.
Figure 9. Transition-state plots of log (icorr/T) versus 1/T for CS immersed in 1.0 M HCl solution, illustrating the effect of different Q-22 inhibitor concentrations on the activation parameters of the corrosion process.
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Figure 10. Scanning electron micrographs of CS surfaces: (A) polished (reference state), (B) after 24 h immersion in 1.0 M HCl at 20 °C (blank), and (C) after 24 h immersion in 1.0 M HCl containing 277 µmol L⁻¹ Q-22 at 20 °C.
Figure 10. Scanning electron micrographs of CS surfaces: (A) polished (reference state), (B) after 24 h immersion in 1.0 M HCl at 20 °C (blank), and (C) after 24 h immersion in 1.0 M HCl containing 277 µmol L⁻¹ Q-22 at 20 °C.
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Figure 11. Atomic force microscopy (AFM) analysis of CS surfaces after 24 h at 20 °C (A) polished blank, (B) after immersed in 1.0 M HCl solution, and (C) after immersed in 1.0 M HCl solution + 277 µmol L-1 Q-22, all after 24 h immersion at 20 oC.
Figure 11. Atomic force microscopy (AFM) analysis of CS surfaces after 24 h at 20 °C (A) polished blank, (B) after immersed in 1.0 M HCl solution, and (C) after immersed in 1.0 M HCl solution + 277 µmol L-1 Q-22, all after 24 h immersion at 20 oC.
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Figure 12. XPS survey spectra of the CS surface after 24 h immersion in 1.0 M HCl: (i) uninhibited (blank) and (ii) inhibited with 277 µmol L⁻¹ Q-22.
Figure 12. XPS survey spectra of the CS surface after 24 h immersion in 1.0 M HCl: (i) uninhibited (blank) and (ii) inhibited with 277 µmol L⁻¹ Q-22.
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Figure 13. High-resolution XPS core-level spectra for the CS surface after 24 h immersion in 1.0 M HCl containing 277 µmol L⁻¹ Q-22: (a) C 1s, (b) N 1s, and (c) Fe 2p.
Figure 13. High-resolution XPS core-level spectra for the CS surface after 24 h immersion in 1.0 M HCl containing 277 µmol L⁻¹ Q-22: (a) C 1s, (b) N 1s, and (c) Fe 2p.
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Figure 14. a), (b), and (c) showing water droplets on the polished, corroded, and inhibited surfaces, respectively, with the contact angle values clearly displayed.
Figure 14. a), (b), and (c) showing water droplets on the polished, corroded, and inhibited surfaces, respectively, with the contact angle values clearly displayed.
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Figure 18. Side views of the most stable adsorption configurations of the Q-22 and Q-22-H+ on the Fe (1 1 1) surface in the gas phase at 298 K.
Figure 18. Side views of the most stable adsorption configurations of the Q-22 and Q-22-H+ on the Fe (1 1 1) surface in the gas phase at 298 K.
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Figure 19. Adsorption energy distribution for the most suitable configuration of adsorption obtained for Q-22 and Q-22-H+ on the Fe (1 1 1) surface in the gas phase at 298 K.
Figure 19. Adsorption energy distribution for the most suitable configuration of adsorption obtained for Q-22 and Q-22-H+ on the Fe (1 1 1) surface in the gas phase at 298 K.
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Figure 20. Radial distribution functions of adsorbed Q-22 and Q-22-H+ on the Fe (111) substrate by an adsorption locator mod.
Figure 20. Radial distribution functions of adsorbed Q-22 and Q-22-H+ on the Fe (111) substrate by an adsorption locator mod.
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Table 1. Chemical composition of carbon steel.
Table 1. Chemical composition of carbon steel.
Elements Carbon (C) Silicon (Si) Manganese (Mn) Sulfur (S) Copper (Cu) Iron (Fe)
Content (wt.%) 0.26 0.28 1.05 0.003 0.2 Balance
Table 2. Structure formula of the used inhibitor.
Table 2. Structure formula of the used inhibitor.
Organic Compound
Quaternium-22 (Q-22)
Structure Preprints 200333 i001
IUPAC Name &Chemical Formula
N-(2-hydroxyethyl)-N, N-dimethyl-3-(gluconoylamino)propanaminium chloride
C13H29N2ClO7
Molecular Weight 360.83 g/mol
Table 3. Surface coverage (θ) and inhibition efficiency (IE%) for CS in 1.0 M HCl at 20 °C as a function of immersion time and varying concentrations of Q-22 inhibitor.
Table 3. Surface coverage (θ) and inhibition efficiency (IE%) for CS in 1.0 M HCl at 20 °C as a function of immersion time and varying concentrations of Q-22 inhibitor.
Conc.
(μmol L-1)

t (min)
Surface Coverage (ϴ)
30 60 90 120 150 180
Blank - - - - - -
41 0.7985 0.7972 0.7675 0.7259 0.7175 0.7062
69 0.8917 0.8797 0.8770 0.8614 0.8472 0.8436
138 0.9477 0.9209 0.9108 0.9006 0.8997 0.8981
277 0.9552 0.9450 0.9394 0.9367 0.9308 0.9299
Inhibition efficiency (%IE)
Blank - - - - - -
41 79.85 79.72 76.75 72.59 71.75 70.61
69 89.17 87.97 87.70 86.14 84.72 84.36
138 94.77 92.09 91.08 90.06 89.97 89.81
277 95.52 94.50 93.94 93.67 93.08 92.99
Table 4. Fitted EIS parameters, and inhibition efficiency for CS in 1.0 M HCl solution in the absence and presence of different concentrations of Q-22 inhibitor at (a) 20, (b) 30, (c) 40, and (d) 50 oC.
Table 4. Fitted EIS parameters, and inhibition efficiency for CS in 1.0 M HCl solution in the absence and presence of different concentrations of Q-22 inhibitor at (a) 20, (b) 30, (c) 40, and (d) 50 oC.
T (°C) Cinh
(µmol L-1)
Rct(Ω cm2) Yοx 10-6
µΩ−1 sncm−2
Cdl, µF n ϴ %IE
20° Blank 59.63 570 267.04 0.918 ---- ----
41 271.5 34.8 58.65 0.884 0.781 78.14
69 459.2 86.76 34.68 0.806 0.870 87.01
138 934.5 56.82 17.04 0.808 0.936 93.60
277 2104 58.41 7.57 0.770 0.971 97.00
30° Blank 45.7 649.6 348.44 0.897 ---- ----
41 192.8 257.2 82.59 0.861 0.762 76.29
69 316.6 106.7 50.30 0.832 0.855 85.55
138 640.6 98.22 24.86 0.799 0.928 92.28
277 1259 65.01 12.65 0.808 0.963 96.63
40° Blank 30.7 709.3 518.68 0.893 ---- ----
41 92.26 146 172.59 0.767 0.667 66.72
69 142.5 102.1 111.74 0.847 0.784 78.45
138 297.9 459.7 53.45 0.854 0.896 89.67
277 399.6 87.64 39.85 0.702 0.923 92.23
50° Blank 18.9 886.4 842.52 0.871 ---- ----
41 48.6 181.2 327.65 0.843 0.611 61.11
69 66.88 262.4 238.09 0.826 0.717 71.74
138 89.61 214.5 177.70 0.800 0.789 78.90
277 127.1 154.3 125.28 0.821 0.851 85.12
Table 5. Electrochemical parameters from potentiodynamic polarization for CS corrosion in 1.0 M HCl with varying Q-22 concentrations and temperatures.
Table 5. Electrochemical parameters from potentiodynamic polarization for CS corrosion in 1.0 M HCl with varying Q-22 concentrations and temperatures.
T (°C) Cinh
µmol L-1
-Ecorr
(mV) SCE
icorr
(µA cm-2)
βa,
mV decade-1
βc,
mV decade-1
Rp,
Ω cm2
CR,
mpy
θ IE%
20 Blank 407 439 170.9 224.8 96.15 401.4 ---- ----
41 409 95.1 107.6 164.1 296.73 43.47 0.781 78.14
69 453 50.2 80.5 110.3 402.53 22.93 0.890 89.01
138 449 29 45.6 79.3 433.49 13.24 0.936 93.62
277 487 13.1 34.8 60.8 733.61 7.381 0.972 97.20
30 Blank 405 780 229.7 283.7 70.75 713.2 ---- ----
41 441 209 77.6 110 94.53 95.41 0.732 73.29
69 408 111 50.8 120.7 139.86 50.5 0.865 86.55
138 409 76.1 87.8 146.1 312.92 34.78 0.902 90.28
277 411 36.1 59.4 111.5 466.14 16.51 0.956 95.63
40 Blank 396 1187 362.8 332.5 63.54 1085 ---- ----
41 427 401.0 65.3 126.7 46.66 183.4 0.667 66.72
69 441 265 86.7 142.8 88.39 121.1 0.764 76.45
138 433 175 99.3 97.1 121.81 80.07 0.856 85.67
277 408 101 50 109.0 147.36 46.11 0.912 91.23
50 Blank 389 1443 371.5 361.1 55.17 1319 ---- ----
41 482 600 128.9 237.6 60.48 274.3 0.581 58.11
69 425 430 119.6 238.6 80.45 196.3 0.707 70.74
138 426 384 124.2 220.6 89.85 175.6 0.739 73.90
277 425 232 71.9 109.1 81.11 105.9 0.841 84.12
Table 8. Activation Energy (Ea), Enthalpy of activation (∆H*), and Entropy of activation (∆S*) for CS in 1.0 M HCl solution in the absence and presence of different concentrations of the Q-22 corrosion inhibitor.
Table 8. Activation Energy (Ea), Enthalpy of activation (∆H*), and Entropy of activation (∆S*) for CS in 1.0 M HCl solution in the absence and presence of different concentrations of the Q-22 corrosion inhibitor.
Cinh
(µmol L-1)
Ea(kJ mol-1) ΔH* (kJ Mol-1) ΔS* (J mol-1 K-1)
0 31.5 29.01 -209.354
41 48.8 46.23 -163.387
69 57.6 55.12 -138.662
138 67.6 65.05 -109.429
277 76.01 73.46 -87.493
Table 9. Surface roughness parameters derived from atomic force microscopy (AFM) analysis of carbon steel samples after 24 h immersion at 20 °C under different conditions.
Table 9. Surface roughness parameters derived from atomic force microscopy (AFM) analysis of carbon steel samples after 24 h immersion at 20 °C under different conditions.
No. CS sample Roughness (Ra)/nm
A Blank (Polished CS) 10
B 1.0 M HCl (Corroded CS) 200
C 1.0 M HCl + 277 µmol L-1 Q-22 (Inhibited CS) 30
Table 10. Computed quantum chemical descriptors for the studied neutral Q-22 and protonated Q-22 H+ inhibitor in the gas phase.
Table 10. Computed quantum chemical descriptors for the studied neutral Q-22 and protonated Q-22 H+ inhibitor in the gas phase.
Descriptors Equations Q-22 Q-22H+
Energy of highest occupied molecular orbital (EHOMO), (eV) -6.465 -6.370
Energy of lowest unoccupied molecular orbital (ELUMO), (eV) -1.052 -0.8587
Energy Gap ΔE (LUMO-HOMO) 5.413 5.511
Dipole moment, (µ), (Debye) 16.401 17.146
Ionization energy (I) (ev) I = E H O M O 6.465 6.370
Electron affinity ( Y ) (ev) Y = E L U M O 1.052 0.8587
Electronegativity (φ ) φ= I + Y 2 3.758 3.614
Global hardness ψ ψ = I Y 2 2.706 2.756
Global softness (S) s = 1 ψ 0.370 0.363
Global electrophilicity (ω) ω = φ2/2ψ 2.609 2.370
Global nucleophilicity (ε) ε = 1 ω 0.383 0.422
Electroaccepting (ω+) power ω + = I + 3 A 2 16 I A 1.068 0.9076
Electrodonating (ω) power ω = A + 3 I 2 16 I A 4.827 4.522
Net electrophilicity (Δω± = ω+ +ω−) (Δω± = ω+ +ω−) 5.895 5.430
Fraction of transferred electrons (ΔN) N = Φ F e Φ i n h 2 ( ψ F e + ψ i n h ) -0.1009 -0.1197
Back-donation energy ΔE back-donation (ev) Δ E b a c k d o n a t i o n = ψ 4 -0.6765
-0.6890
Metal/inhibitor interaction energy
ΔE Metal /inhibitor (ev)
Δ Ε s t e e l / Q 22 = ( χ F e χ i n h ) 2 4 ( η F e + η i n h ) 0.0357
0.0509
Table 11. Fukui indices of the studied Q-22 and Q-22 H+.
Table 11. Fukui indices of the studied Q-22 and Q-22 H+.
Q-22 Q-22H+
Atoms f k + f k f k atoms f k + f k f k
Cl (1) 0.022 0.003 0.019 Cl (1) 0.01 0.002 0.008
O (2) 0.028 0.001 0.027 O (2) 0.024 0.016 0.008
N (4) 0.003 0.008 -0.005 N (4) 0 0.001 -0.001
C (5) 0.014 0.005 0.009 C (5) 0.016 0.01 0.006
C (6) 0.015 0.001 0.014 C (6) 0.014 -0.001 0.015
C (7) 0.01 -0.01 0.02 C (7) 0.004 0.007 -0.003
N (9) 0.015 -0.002 0.017 N (9) 0.004 0 0.004
C (10) 0.024 -0.001 0.025 C (10) 0.023 0.008 0.015
C (11) 0.012 0.004 0.008 C (11) 0.004 0.006 -0.002
C (13) 0.021 0.003 0.018 C (13) 0.019 0 0.019
O (14) 0.01 0.015 -0.005 O (14) 0.014 0.004 0.01
O (15) 0.032 -0.002 0.034 O (15) 0.033 0.003 0.03
C (16) -0.002 0.011 -0.013 C (16) -0.004 -0.004 0
O (17) -0.002 0.089 -0.091 O (17) -0.001 -0.002 0.001
O (18) -0.003 0.065 -0.068 O (18) 0.007 -0.009 0.016
C (19) 0.005 0.041 -0.036 C (19) 0.014 0 0.014
O (22) 0.001 0.061 -0.06 O (22) 0.01 0.005 0.005
O (23) 0.005 0.038 -0.033 O (23) 0.009 0.005 0.004
C (27) 0.001 0.004 -0.003 C (27) -0.007 -0.004 -0.003
C (28) 0.001 0.005 -0.004 C (28) 0 0 0
C (34) -0.001 0.01 -0.011 C (34) -0.007 -0.002 -0.005
C (35) 0.002 0.028 -0.026 C (35) 0 -0.002 0.002
C (36) 0.001 0.022 -0.021 C (36) 0.004 -0.001 0.005
C (38) 0.019 0.009 0.01 C (38) 0.013 0.001 0.012
C (39) 0.01 -0.001 0.011 C (39) -0.003 0.023 -0.026
C (40) 0.019 0.001 0.018 C (40) 0.004 0.014 -0.01
C (41) 0.022 0.002 0.02 C (41) 0.005 0.012 -0.007
C (42) 0.019 0 0.019 C (42) 0.003 0.013 -0.01
C (43) 0.022 0.003 0.019 C (43) 0.003 0.013 -0.01
C (45) 0.037 0.005 0.032 C (45) 0.012 0.027 -0.015
C (46) 0.003 -0.003 0.006 C (46) -0.004 0.029 -0.033
C (47) 0.006 0.004 0.002 C (47) 0.004 0.014 -0.01
C (48) 0.01 -0.001 0.011 C (48) 0.003 0.016 -0.013
C (49) 0.009 0.008 0.001 C (49) 0.002 0.015 -0.013
C (50) 0.012 0.004 0.008 C (50) 0.003 0.015 -0.012
C (51) 0.018 0.01 0.008 C (51) 0.008 0.032 -0.024
Table 12. Second-order perturbation theory analysis of Fock Matrix in NBO Basis of Q-22 compound at B3LYP/6-311++G (d, p) level in the gas phase.
Table 12. Second-order perturbation theory analysis of Fock Matrix in NBO Basis of Q-22 compound at B3LYP/6-311++G (d, p) level in the gas phase.
Compound Donor Acceptor E(2)a(kcal/mol) Occupancy

Q-22
πC3–O13 π*C25–O11 23.52 1.77
πC4–O15 π*C26–O12 25.13 1.65
πC5–O14 π*C5–O14 33.52 1.67
πC10–O11 π*C4–O15 35.13 1.66
πC9–O12 π*C9–O20 44.52 1.68
πC1–O20 π*C1–O28 36.13 1.75
πC25–O28 π*C27–O13 55.05 1.55
LP (1) N22 π*Cl51–N24 26.74 1.87
LP (1) N24 π*C16–N22 65.21 1.45
πC6–N22 π*C24–N24 36.58 1.82
πC26–N24 π*O14–C6 16.47 1.94
LP (1) O11 π*O23–O15 31.04 1.84
LP (1) O12 π*C13–O26 59.83 1.75
LP (1) O13 π*C32–O15 18.81 1.88
LP (1) O14 π*C10–O24 60.05 1.70
LP (1) O15 π*O14–N22 26.74 1.57
LP (3) Cl51 π*Cl51–H50 45.21 1.35
LP (2) O20 π*C10–C7 36.58 1.82
LP (2) O28 π*O15–C6 26.47 1.94
Table 13. Molecular dynamic simulation outputs and descriptors of the studied neutral and protonated Q-22 molecule on the iron (1 1 1) surface.
Table 13. Molecular dynamic simulation outputs and descriptors of the studied neutral and protonated Q-22 molecule on the iron (1 1 1) surface.
Structures Q-22 Q-22-H+
Total energy 157.26 360.54
Adsorption energy -543.38 -269.28
Rigid adsorption energy -452.06 -8.14
Deformation energy -121.32 -253.14
dEad/dNi -543.38 -269.28
Table 6. Parameters of the linear regression.
Table 6. Parameters of the linear regression.
Temperature (K) Kads (L mol-1) (1/KadsL mol-1) (intercept) R2
293 84.3 1.88 0.999
303 74.1 1.93 0.999
313 50.4 1.95 0.999
323 41.4 2.02 0.996
Table 7. Standard thermodynamic parameters for the adsorption of Q-22 molecules on the carbon steel surface in 1.0 M HCl solution.
Table 7. Standard thermodynamic parameters for the adsorption of Q-22 molecules on the carbon steel surface in 1.0 M HCl solution.
Temp, (K) Langmuir isotherm
ΔGºads.
(kJ mol-1)
ΔHºads.
(kJ mol-1)
ΔSºads.
(J mol-1 K-1)
293 -37.4 - 8.32 99.3
303 -38.5 99.2
313 -38.9 97.5
323 -39.8 98.4
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