Submitted:
25 February 2026
Posted:
27 February 2026
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Abstract
Keywords:
1. Introduction
2. Materials and Methods
2.1. Materials
2.2. Inhibitor and Solution Preparation
2.3. Gravimetric (Weight Loss) Measurements
2.4. Studies on Electrochemistry
2.5. Surface Characterization
2.5.1. X-Ray Photoelectron Spectroscopy (XPS):
2.5.2. SEM and AFM
2.5.3. Surface Wettability (Contact Angle) Measurements:
2.6. Quantum Chemical Studies
2.6.1. Theoretical Computations
2.6.2. Molecular Simulation (MD) Dynamics
2.6.3. NBO Analysis
3. Results and Discussion
3.1. Gravimetric (Weight Loss) Measurements
3.2. Electrochemical Measurements
3.2.1. Electrochemical Impedance Spectroscopy (EIS) Measurements
3.2.2. Potentiodynamic Polarization
- 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
| f(θ,x)exp(-a,θ)=KCinh | (10) |
| Kads = 1/55.5 exp (-ΔG°ads. / RT) | (11) |
3.4. Corrosion Kinetic and Thermodynamic Studies
3.5. Surface Characterization
3.5.1. Scanning Electron Microscopy (SEM) Analysis
3.5.2. AFM Analysis
3.5.3. XPS Analysis
3.5.4. Surface Wettability Analysis (Contact Angle)
3.6. DFT studies



3.6.1. Natural Bond Orbital (NBO) Analysis
3.6.2. Molecular Simulation Dynamics
5. 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.
Author Contributions
Funding
Data Availability Statement
Acknowledgments
Conflicts of Interest
References
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| 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 |
| Organic Compound | |
| Quaternium-22 (Q-22) | |
| Structure | ![]() |
| IUPAC Name &Chemical Formula |
N-(2-hydroxyethyl)-N, N-dimethyl-3-(gluconoylamino)propanaminium chloride C13H29N2ClO7 |
| Molecular Weight | 360.83 g/mol |
|
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 |
| 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 |
| 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 |
|
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 |
| 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 |
| 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) | 6.465 | 6.370 | |
| Electron affinity ( ) (ev) | 1.052 | 0.8587 | |
| Electronegativity (φ ) | φ= | 3.758 | 3.614 |
| Global hardness ψ | ψ = | 2.706 | 2.756 |
| Global softness (S) | s = | 0.370 | 0.363 |
| Global electrophilicity (ω) | ω = φ2/2ψ | 2.609 | 2.370 |
| Global nucleophilicity (ε) | 0.383 | 0.422 | |
| Electroaccepting (ω+) power | 1.068 | 0.9076 | |
| Electrodonating (ω−) power | 4.827 | 4.522 | |
| Net electrophilicity (Δω± = ω+ +ω−) | (Δω± = ω+ +ω−) | 5.895 | 5.430 |
| Fraction of transferred electrons (ΔN) | -0.1009 | -0.1197 | |
| Back-donation energy ΔE back-donation (ev) | -0.6765 |
-0.6890 | |
| Metal/inhibitor interaction energy ΔE Metal /inhibitor (ev) |
0.0357 |
0.0509 |
| Q-22 | Q-22H+ | |||||||
| Atoms | atoms | |||||||
| 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 | |
| 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 |
| 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 |
| 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 |
| 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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