2. Materials and Methods
The following metal materials were used in this work: cold-rolled carbon steel (grade 08ps, 0.05–0.11% C), zinc (grade Ts0, 99.975% Zn). Samples made of 08kp steel (carbon content 0.05 wt.%, thickness 100 µm) with a contact plate (3 mm × 40 mm) were used for electrochemical and corrosion studies (
Figure 1). The working area of the samples was 2.5 cm
2. Preliminary preparation of samples before exposure included mechanical surface cleaning on a grinding machine (P1000 sandpaper, abrasive cloth with a grain size of 14–20 µm) and degreasing with ethanol.
Table 1 shows the compounds used in this work to modify the surface of metals, and
Table 2 shows the composition of the modifying solutions. Modification of the surface of samples was performed by immersing whole metal plates in aqueous or organic (
Table 2) solutions of modifiers for 10 min. After modification, a sample was immersed in a solvent for 1 min to remove the excess modifier, then the samples were dried in air. Both one- and two-component systems were used in this work. The one-component systems included: 1% VS, 3% VS, 1% AS, and 2% AS solutions in water; 1% MS, 1 mM BTA, and 10 mM BTA solutions in ethyl alcohol. The two-component systems included: a solution of the (1% VS + 1% AS) mixture in water; and a solution of the (1% VS + 1 mM BTA) mixture in ethyl alcohol.
Electrochemical studies were carried out in a borate buffer solution (0.4 M H3BO3 + 5.5 mM Na2B4O7 × 10H2O, pH 6.7) with the addition of 0.1 M NaCl.
The borate buffer solution was used in order to exclude the influence of changes in the near-electrode pH on the kinetics of the corrosion process, since it is known [
22] that the reactions accompanying metal corrosion change the acidity of the solution, namely: the hydrolysis of metal ions released in the anodic process of corrosion dissolution leads to acidification of the solution, and the cathodic reaction of oxygen ionization leads to its alkalization. In addition, it is known [
23,
24] that borate ions, unlike other electrolyte anions, do not participate in the process of iron ionization; therefore, the borate buffer solution is often used as a background electrolyte when conducting corrosion and electrochemical studies [
23,
24,
25,
26,
27].
Electrochemical measurements were carried out in a standard three-electrode cell using an IPC-Pro MF potentiostat (“Volta”, Saint Petersburg, Russia). After grinding with grade “0” sandpaper, the samples were additionally washed in a “Sapphire—0.8 TTs” ultrasonic bath in a C2H5OH:C7H8 (1:1) mixture for 25 min. In order to eliminate the edge effects at the ends of the sample, after modification and air drying for 120 min, the sample was coated with a chemically resistant varnish, leaving an “open window” so that the working surface area of the electrode was 1 cm2. Measurements were carried out in a 0.1 M NaCl solution (100 cm3). The pH was stabilized by the addition of borate buffer solution (0.4 M H3BO3 + 5.5 mM Na2B4O7 × 10H2O, pH 6.7). A platinum electrode with an area of 1.2 cm2 was used as the auxiliary electrode, and a silver chloride electrode was used as the reference electrode. The measured potentials were converted to the normal hydrogen electrode (NHE) scale.
For the first 300 s after the sample was immersed in the solution, its corrosion potential (Ecor) was recorded. This time was sufficient to stabilize the Ecor value. Next, anodic potentiodynamic polarization curves were recorded at a scan rate of 0.1 mV/s from this value to the potentials corresponding to the local anodic dissolution at a stationary rate of pit growth on the metal surface. Once the polarization curves were recorded, polarization was switched off and the Ecor value was recorded after 60 s, until full stabilization of this parameter was achieved (so that it did not change more quickly than by 0.05 mV/min). In addition to the anodic curves, the kinetics of the change in the anodic current under potentiostatic polarization was determined (at a constant anode potential Ean = 0.2 V (NHE)). The variation in the state of the sample surface was recorded by in situ optical microscopy in parallel with the electrochemical measurements. The following equipment was used: a Biomed PR-3 microscope with 5× magnification (visible sample area Svis = 1.00 mm2), 10× (Svis = 0.5 mm2) and 20× (Svis = 0.25 mm2) with a connected Amoyca AC-300 digital video camera. The camera resolution was 2048 × 1536 pixels. The data from the camera were transmitted to a computer and processed in the ScopePhoto 3.0 program.
Electrochemical impedance spectroscopy (EIS) was used to estimate the effect of surface modification of carbon steel on its corrosion behavior. EIS measurements were carried out using an electrochemical set-up based on an IPC-Pro MF potentiostat with an FRA module (“Volta”, Saint Petersburg, Russia). The method involves testing samples by alternating voltage (potential) with recording the value of alternating current response and the phase shift and amplitude changes in the range of the frequencies used.
Figure 2 shows the layout of the electrochemical cell for EIS studies. The measurements were carried out in the frequency range from 10 kHz to 0.1 Hz with an alternating voltage amplitude (Δ
E) of 10 mV at the open circuit potential.
The conducted EIS studies make it possible to determine the characteristics of the metal’s corrosive behavior by estimating the values of the elements (for example, resistance, capacitance, etc.) of an equivalent circuit describing the parameters of the sample under study, taking into account the reactions occurring on the sample in the working electrolyte. During the tests, the data required to assess the corrosion behavior of the metal were recorded automatically. The parameters of an equivalent circuit adequately simulating experimental impedance spectra were calculated using the DCS program [
28]. A detailed description of equivalent electrical circuits used to simulate the processes occurring in the systems under study will be considered below. Borate buffer solution (0.4 M H
3BO
3 + 5.5 mM Na
2B
4O
7 × 10H
2O, pH 6.7 additionally containing 0.1 M NaCl was used as the working electrolyte. Accelerated tests in an electrolyte and in an atmosphere were performed using rectangular samples made of grade Ts0 zinc with dimensions 10 mm × 50 mm× 0.8 mm. The tests were carried out in a borate buffer solution (composition: 0.4 M H
3BO
3 + 5.5 mM Na
2B
4O
7 × 10H
2O, pH 6.7) with NaCl added to a concentration of 0.1 M. Accelerated tests in an atmosphere were performed in a Terchy MHK-408CL climate chamber (manufactured by TERCHY Environmental Technology LTD, Taiwan) at
t = 60 °C and RH = 95%. The duration of the tests was 51 days.
The corrosion rate was estimated by the gravimetric method by weighing the samples before and after the tests. Before the tests, the samples were polished with “0” grade sandpaper, washed with distilled water, dried, degreased with ethyl alcohol, and weighed on an AF-R220CE electronic analytical balance. At the end of the corrosion tests, corrosion products were removed from the metal surface by the standard etching method [
29], after which it was reweighed. The weight loss of samples per area unit (Δ
m), g/cm
2, was calculated using Equation (1):
where
m0 is the sample weight before the test, g;
m1 is the sample weight after the test and removal of the corrosion products, g;
S is the sample surface area, cm2.
Three samples were exposed in parallel and the arithmetic mean of the weight loss was calculated for each modifying system.
Next, the weight loss was converted to the change in thickness (Δ
L), mm, using Equation (2):
where
ρ is the metal density, g/cm
3.
Further, the corrosion rate of steel
k was determined in mm/day (Equation (3)) or in mm/year (Equation (4)):
where τ is the test duration, days.
The critical pitting potential (
Epit), i.e., the potential above which pitting dissolution of the metal occurs and stable pits are formed [
30], was determined from the anodic polarization curves as a breakpoint on the curve (the potential after which a sharp increase of the current is observed) [
30,
31].
The change in the electrode pitting potential (
Epit) to more positive values was chosen as a criterion for the inhibition efficiency of local anodic dissolution after the modification of the metal surface (Equation (5)) [
32]:
where
Epit is the critical pitting potential of the non-modified metal and
is that of the modified metal.
The efficiency of corrosion inhibition was estimated using the corrosion inhibition coefficient (Equation (6)) [
33,
34]:
where K
0 is the corrosion value (corrosion rate) of the non-modified metal and K
mod is the corrosion value (corrosion rate) of the metal after surface modification.
The number of pits was determined using image processing with a computer program Pitting 1.0, developed at our institute specifically for such studies. In some cases, the accuracy of the program was checked by manually counting the pits. Given that the dimensions of the test samples are the same, the figures show the number of pits per sample—on the one hand, the changes in which were recorded by a video camera. The reverse side of the sample was insulated with a chemically resistant varnish. Three samples were examined in parallel; the discrepancy between the samples did not exceed 1 pitting. The corresponding figures show the average number of pits for 3 samples.
3. Results and Discussion
The electrochemical behavior of carbon steel modified with formulations based on organosilanes was studied. Anodic polarization curves were obtained. In
Figure 3, curve 1 is the anodic curve of non-modified steel. It can be seen from
Figure 3 that the shape of the curve matches the classical shape of curves for passivating metals [
35,
36].
The following parts are observed in curve 1 (
Figure 3): a pronounced section of active-passive transition in the range of potentials from −0.34 to −0.06 V, a section corresponding to the passivity of the metal with a full passivation potential equal to −0.06 V, a short section corresponding to the passive state, a violation of the passive state (with a critical potential of pit formation
Epit approximately equal to +0.02 V) and a section corresponding to pitting dissolution at potentials more positive than
Epit.
Obtaining polarization curves for all modifying compositions showed that modification with AC solution has practically no effect on the anodic curve of unmodified steel.
Surface modification with the (VS + AS) mixture leads to a decrease in the critical passivation current
ip (current value at the peak of the curve) to 4.2 mA/cm
2. For unmodified steel and steel modified with VS, the value of
ip was 6.29 and 4.55, respectively (
Figure 3, curves 1 and 2). In addition, a positive shift of
Epit by 70 mV was also observed. For the VS solution, this was 55 mV. The use of the modifying mixture (VS + BTA) provided a decrease in
ip to 3/8 mA/cm
2 and an increase in
Epit by 78 mV. This indicates inhibition of both uniform (reduction of
ip) and local (increase of
Epit) anodic dissolution of the steel by the surface layers.
In addition to steel, the electrochemical behavior of zinc was studied (
Figure 4 and
Figure 5) and it was shown that an increase in potential (when obtaining an anode curve) leads to pitting dissolution of the metal (
Figure 5a).
Figure 4 shows the anodic polarization curve of unmodified zinc and zinc coated with organosilicon layers; the table shows the effect of modification on the value of
Epit. From
Figure 4 and
Table 3 it can be seen that the surface organosilicon layer inhibits anodic zinc dissolution and shifts
Epit to the positive side (i.e., inhibits pitting zinc dissolution). For example, in the case of surface modification with VS solution, a smaller number of pits and a smaller size were found on the surface (
Figure 5b) than in the case of unmodified metal (
Figure 5a). The anodic dissolution of zinc is most effective with modification by mixtures: (VS + AS) (
Figure 4, curve 3) and (VS + BTA) (
Figure 4, curve 4).
Observations of the state of metal surface and recording the changes under an optical microscope were carried out in parallel with electrochemical measurements.
Figure 6 shows the photographs of steel surface taken at various anodic potentials corresponding to the potentials on the anodic curve (
Figure 3, curve 1).
In
Figure 6 it can be seen that as the potential was varied in the range from −0.6 V to +0.16 V (
Figure 6a–d), the appearance of the metal surface nearly did not change. As expected, no pitting was detected on the surface until the critical potential of pit formation was reached. Moreover, shifting the potential in the positive direction from the
Epit did not cause an instant formation of pits, either. Despite the fact that the potential was shifted to a value more positive by 100 mV than
Epit, no pits were detected on the surface (
Figure 6d). The first defects detected under the microscope appeared when the potential reached +0.2 V (
Figure 6e). A further increase in the potential (above +0.2 V) led to intensification of the pitting dissolution of metal, which manifested itself both in an increase in the density of the metal dissolution current (
Figure 3, curve 1) and in the growth of the number of pits
Figure 6f–h and
Figure 7, curve 1). Preliminary modification of a steel surface with formulations based on organosilanes affected the electrochemical behavior of the metal. Thus, modification of the surface with a VS solution resulted in a slight decrease in the critical passivation current (from 6.2 to 4.55 mA/cm
2) (
Figure 3, curve 2), which can indicate an increase in metal passivation in the presence of a vinylsiloxane nanolayer on the surface and, as a consequence, inhibition of uniform dissolution (corrosion) of the metal. The shift in the pit formation potential in the positive direction (by 70 mV) indicates that the metal pitting dissolution is inhibited. Thus, analysis of anodic electrochemical and optical data showed that the preliminary modification of the steel surface with a vinyl-containing silane should inhibit both uniform and local corrosion of carbon steel. As the potential increases to +0.8 V, both the number and the size of pits change. In fact, the pits that appeared on the metal during polarization in the potential range from −0.05 to +0.5 V had a visible diameter of about 0.1 mm, while the diameter of the pits that formed at +0.8 V was up to 0.25 mm (
Figure 6i).
Apparently, at potentials close to
Epit, metastable pits [
31,
37] are formed on the surface and quickly re-passivated. The simultaneous appearance/disappearance of pits occurs on the surface at these potentials. Apparently, stable pits begin to form at potentials above +0.2 V.
Preliminary modification of the steel surface with formulations based on organosilanes leads to inhibition of metal pitting dissolution, i.e., at equal potentials, fewer pits are observed on the surface (
Figure 7). Modification of the surface with a solution of (VS + BTA) and (VS + AS) mixtures inhibits pitting dissolution most efficiently. In addition, the effect of modification of the carbon steel surface with organosilanes on the pit formation at a constant anodic potential was studied.
Figure 8 shows the kinetic curves of the development of anodic pitting dissolution (pit formation) on carbon steel. It was found that the first pits occur on the surface after 10 min of polarization, and preliminary modification of the steel surface with solutions of individual silanes (not mixtures!) does not provide satisfactory inhibition of local anodic dissolution of the metal. For example, the use of a modifying solution based on vinylsilane (VS) nearly did not affect the pit formation on steel (
Figure 8, curves 1, 3). In the initial polarization period (10 min), the number of pits formed on the samples previously modified with a VS solution was slightly smaller than that on non-modified metal (comparison of curves 1 and 3,
Figure 8, i.e., 69 and 78 pit/cm
2 for non-modified steel and after steel modification with the VS solution, respectively. It has been shown that during the entire test, the number of pits on the metal surface modified with an AS solution was almost the same as on the non-modified surface (
Figure 8, curves 1, 3). Preliminary surface modification with a solution of the amino-containing silane (AS) led to inhibition of pit formation for the first 60 min of testing, namely, the number of pits formed on the non-modified surface was more than twice the number of pits on the surface modified with AS (
Figure 8, curve 2). However, in longer tests (more than 60 min), the difference in the number of pits formed on modified and non-modified surfaces decreased but almost leveled off after 120 min of testing: 96 and 90 pit/cm
2 for non-modified and AS-modified steel, respectively. It was shown in our previous studies [
38,
39] that the use of organosilanes in a mixture with an organic corrosion inhibitor, in particular with the well-known [
40] nitrogen-containing inhibitor, 1,2,3-benzotriazole (BTA), leads to a significant increase in inhibitory efficiency, which in the case of the mixture significantly exceeded the efficiency of each component alone. Modification of steel surface with a solution of a mixture of vinylsilane and BTA provided the most efficient inhibition of local dissolution of the metal (
Figure 8, curve 4). In this case, the number of pits formed after 120 min of testing (under potentiostatic conditions at
E = + 0.2 V) in the chloride-containing solution on the non-modified steel surface was almost twice as large as the number of pits on steel modified with a mixture solution (VS + BTA): 96 and 39 pits on non-modified and modified metal, respectively.
Corrosion tests of metals modified with formulations based on organosilanes performed in the corrosive chloride-containing electrolyte showed that organosilicon surface nanolayers inhibited the corrosion of steel. In fact, accelerated tests conducted in the climate chamber at
T = 60 °C and RH = 95% showed inhibition of atmospheric corrosion with organosilicon surface nanolayers.
Figure 9 shows photos of zinc samples modified with formulations based on organosilanes after two months of testing.
It was found that after two months of accelerated atmospheric corrosion tests, a thin layer of white corrosion products occupying approximately 20% of the sample surface area was present on the surface of non-modified zinc (
Figure 9a).
After preliminary modification of the surface with the VS solution, the degree of surface coverage with corrosion products decreased to 10%. Surface modification with aqueous neutral solutions of AS and GS (
Table 2, lines 8, 18) hardly affected the amount of corrosion products on the surface: 19 and 23% of the surface was covered with corrosion products in the case of AS and GS, respectively. The use of acid rather than neutral silane solution for modification (modifying solution with addition of acetic acid,
Table 2, line 19) led to the formation of a “thick” surface organosilicon film with a thickness of 126 µm. It is known that the following reactions occur more intensely and completely in acid solutions: alkoxysilane hydrolysis reactions to give an organosilanol (reaction (7)), condensation of organosilane silanol groups and hydroxyl groups of the metal surface with formation of covalent Me-O-Si bonds (reaction (8)), and polycondensation of adjacent silanol groups with formation of a surface siloxane polymer (reaction (9)) [
41,
42,
43,
44].
Apparently, an external three-dimensional reticular siloxane layer growing in thickness formed on the surface if the acidified modifying solution was used. However, during the first day of testing, this “thick” film spontaneously peeled off from the sample surface. Moreover, after 2 months of accelerated testing, after peeling of the “thick” siloxane film, the entire surface of the sample (100%) was covered with corrosion products (
Figure 9e). It can be assumed that in case of modifying with acidified solution, a two-layer film formed on the surface: a thin (nanosized) 2D layer of linear siloxane polymer molecules closer to the surface, and above it, an external “thick” (30–40 µm thick) 3D reticular layer. It could be expected that the outer reticular layer would prevent the penetration of corrosive medium components to the surface and hence inhibit corrosion. The layer closer to the surface consists of linear non-cross-linked siloxane molecules that do not provide the surface shielding required for corrosion inhibition. The corrosion process occurs intensely in the areas that are not occupied by the siloxane layer. Furthermore, considering that corrosion products have a larger volume, the entire surface is covered with corrosion products. The absence of cross-links between linear chains of siloxane molecules in the layer closest to the surface is probably caused by diffusion limitations. They probably also account for the weak adhesion between the outer and inner layers which causes fast delamination of the outer layer under the influence of humidity and temperature.
Figure 10 and
Table 4 show the corrosion rates of zinc samples after accelerated corrosion tests in the climatic chamber in a chloride-containing solution determined gravimetrically.
It can be seen from the test results that the preliminary modification of metal surface with solutions of individual silanes slightly affects the uniform corrosion of zinc. Moreover, modification of the surface with an acidified GS solution, which ensures the formation of a “thick” film that peels off from the surface after 1 day of testing, activates corrosion, i.e., the corrosion rate increases compared to that of the non-modified metal. Modification of the surface with neutral VS and GS solutions reduced the rate of zinc corrosion quite insignificantly, namely 1.4- and 1.1-fold for VS and GS, respectively. Modification of the surface with an acidified GS solution, which led to the formation of a 126 µm thick film that peeled off from the surface during the first day of testing, accelerated zinc corrosion; in this case, the corrosion rate even slightly exceeded the value found for the non-modified metal (
Table 4). Apparently, after the majority of the siloxane film peeled off, a thin defective siloxane film remained on the surface. The dissolution of the metal (anodic reaction) occurred from the film defects on a relatively small area, i.e., the anodic sites. In contrast, the area of the cathodic sites where reduction of oxygen as a depolarizer of the corrosion process occurs (the cathodic reaction) is rather large. In addition, since the total rates of cathodic and anodic corrosion reactions are equal, an increase in the rate of the cathodic reaction of oxygen reduction should cause an increase in the metal dissolution rate. Therefore, one could expect higher dissolution rates from the “anodic” defects, which provides an increase in the mean corrosion rate as determined gravimetrically. The corrosion rate dropped one and a half times after surface modification with a solution comprising a mixture of VS and AS, as was expected for the reasons outlined above. Thus, modification of the metal surface with individual organosilane solutions does not result in a reduction in the rate of atmospheric corrosion of the metal, which can be accomplished with a modifying solution based on a mixture of vinyl- and aminosilanes.
Figure 10 shows the effect of surface modification on the corrosion of zinc in a chloride-containing solution.
It has been shown that the corrosion rate of non-modified zinc in the chloride-containing solution is low and amounts to 0.78 µm/year (
Figure 10) and that the preliminary modification of the zinc surface does not significantly affect the corrosion behavior of the metal (
Figure 10). In fact, modification with solutions of individual silanes practically does not change the corrosion rate of zinc significantly, and if the acidified modifying GS solution was used, even a slight increase in the corrosion rate (0.81 µm/year) was observed. A small inhibition of zinc corrosion was noted upon modifying the surface with a solution of a mixture of vinyl- and aminosilanes: the corrosion rates were 0.78 and 0.73 µm/year for non-modified zinc and zinc modified with a mixture of VS and AS, respectively. Thus, the results of polarization and corrosion studies show that the organosilicon surface layers formed upon modification with formulations with solutions based on organosilanes are capable of increasing the passivating ability, inhibiting local anodic dissolution and atmospheric corrosion of metals, and inhibiting corrosion in corrosive electrolytes. Binary modifiers, namely a mixture of vinyl- and aminosilanes and a mixture of vinylsilane and benzotriazole, favor the inhibition of metal corrosion most efficiently.
Preliminary modification of the surface can have a decisive influence not only on the atmospheric corrosion of zinc, but also of other metals. In our previous work, we studied the effect of organosilicon surface layers on the atmospheric corrosion of iron and carbon steel and showed the inhibition of atmospheric corrosion of metal [
17].
Additional information about the protective effect provided by modifying the steel surface with silane solutions was obtained using EIS. The equivalent circuit (EC) used to interpret the EIS results consists of electrical elements corresponding to the probable physical processes occurring in the system under study, i.e., “non-modified metal/silane-modified metal—corrosive medium”. As a rule, these elements include resistance and capacitance [
42].
In this study, two ECs (
Figure 11a,b) in which the capacitive elements were replaced by constant-phase elements (CPE) were used to process the results. The spectra obtained were compared with the impedance of the selected ECs using complex nonlinear approximation programs DCS [
28]. R
0 is the resistance of the electrolyte between the test sample (the working electrode) and Luggin’s capillary of the reference electrode (
Figure 2). Its value depends on the solution conductivity and the distance between the sample surface and the capillary.
Rp is the charge-transfer reaction resistance that determines the kinetics of the corrosion process, so this parameter was used to estimate the effect of surface modification in accordance with the Formula (10):
where K is the metal corrosion rate,
Rp is the charge-transfer reaction resistance, and
k is a proportionality coefficient.
In the EC presented in
Figure 10b,
R1 is the sum of the resistances of the oxide/hydroxide surface layers and the silane layer. Unlike the classical ECs [
45], the use of CPE elements instead of capacitances makes it possible to more accurately simulate experimental data and obtain additional information about the nature of electrode processes. The CPE impedance was described by the Equation (11) [
41].
where A is a coefficient (modulus);
Depending on the value of the phase coefficient, the CPE element can be interpreted as an ideal capacitor (
n = 1), or a resistor (
n = 0). As for the selected ECs (
Figure 11a,b), the value of the phase coefficient that differs from unity can be used to assess how perfect the simulated capacitance is and how uniform the capacitor plates are.
In the equivalent circuits (
Figure 10a,b) used to simulate the obtained results, the CPE1 element characterizes the capacitance of the metal-electrolyte interface and mainly depends on the structure of the surface layers, and the CPEdl element reflects the capacitance of the electrical double layer in the Faraday process.
In equivalent circuits used to simulate the results obtained, the Nyquist plots of steel before and after modifying with silanes are shown in
Figure 12.
The resulting arc on the Nyquist plot is described by a single
Rp/CPEdl chain and is related to the kinetics of the Faraday process (i.e., charge transfer) on the metal, which actually determines the corrosion behavior of the steel. After modifying the samples in all the studied systems, the hodographs show a more complex shape (
Figure 12a,b); therefore, the following EC (
Figure 11b) was used to describe them, which consists of two parallel
R/CPE chains. The high-frequency region on the Nyquist plot in the selected model corresponds to the time constant, mainly associated with the
R1/CPE1 chain, i.e., it depends on the conductivity of the surface layer (
Figure 12c). The nature of the low-frequency region is similar to
Rp/CPEdl described above for the circuit in
Figure 11a.
In the case of non-modified steel (
Figure 11a), the Nyquist plot is represented by only one semicircle that is simulated by an EC (
Figure 10a). The arc in the Nyquist plot is related to the kinetics of the Faraday process (i.e., charge transfer) on the metal, which actually determines the corrosion behavior of steel. After modifying the samples in all the systems studied, the Nyquist and Bode plots demonstrated a more complex shape (
Figure 12b,c), therefore the second EC was used to simulate them (
Figure 11b). The capacitive circuit in the high-frequency area is a process of electric charge transfer described by the
Rp/CPE circuit as part of the overall equivalent circuit. The values of the elements obtained by calculations are presented in
Table 5. The simulation error did not exceed 5% in all cases.
From
Figure 12, it can be seen that the radii of the arcs on the Nyquist plots obtained on modified samples are significantly larger than those on the non-modified metal. The calculated
Rp values can be used to estimate the effect of surface modification with silanes on the corrosion process. The inhibition coefficient of the electrochemical reaction of metal ionization (corrosion) by layers obtained as a result of surface modification (γ) can be determined as the ratio of charge transfer resistances for the modified (
Rpsil) and non-modified (
Rpnone) samples (12):
The calculated inhibition coefficients for the modifying formulations studied are given in
Table 6:
Based on the results obtained, it can be concluded that the corrosion of carbon steel is inhibited most efficiently by the organosilicon layer obtained by modifying the surface with solutions containing aminosilane and a mixture of vinyl- and aminosilanes.
However, in a comprehensive assessment of the results of modification, one should take into account the significance of other EC parameters, which can serve as additional evidence of an inhibitory effect. Thus, a comparison of the resistance values of the surface layer of the sample after modification
R1 (
Table 3) for 1% VS and 1% AS shows an increase in this parameter by seven times, and for the sample after modification with a mixture of 1% BC + 1% AS, this value increases by 32 times, while a mixture of 1% VS + 1 mm BTA gives an increase of only three times. However, it should be noted that the phase coefficient CPE1 for this mixture is maximum:
n = 0.84 (
Table 3). This characterizes the steel surface after inoculation with binary mixtures as more uniform in structure. Then, the studied modifying compositions according to their inhibitory effectiveness can be arranged in the following row:
Therefore, the results of EIS studies confirm the conclusions drawn from the above results of corrosion tests and electrochemical studies, i.e., the most efficient inhibition of metal ionization was observed in the case of binary modifying formulations: solutions of the (BC + AS) and (VS + BTA) mixtures. The reasons for such efficiency of binary mixed formulations are considered below.
The formulations containing aminosilane manifest high efficiency because the amino group is a catalyst for silane hydrolysis (reaction (7), condensation of organosilane silanol groups and hydroxyl groups on the metal surface (with formation of covalent Me-O-Si bonds (reaction (8)), and polycondensation of adjacent silanol groups (with formation of a surface siloxane polymer (reaction (9)). In addition, aminosilane demonstrates a self-catalytic effect when it binds to the surface and forms a surface siloxane layer [
46]. Moreover, to obtain densely cross-linked branched (reticular) polymer layers firmly bound to the surface, it is recommended to add a small amount of aminosilane to the modifying solution and use neutral organosilanes mixed with amino-containing silane [
47]. Earlier, we have shown that introducing a mixture of amino- and vinyl-containing silanes into a polymer coating leads both to an increase in the adhesion of the coating and to the inhibition of stress corrosion cracking of pipe steel [
42].
As for the modifying formulation, i.e., the mixture of VS and benzotriazole, it was previously shown in the literature [
17,
19,
43,
44,
45] that the use of organosilanes in a mixture with organic corrosion inhibitors, with benzotriazole in particular [
38], increases the inhibitory efficiency significantly, which considerably exceeded the efficiency of each of the mixture components alone. We have made an addition to the article regarding the characterization of surface layers:
In our previous works [
38,
39,
40], the surface layer formed by modifying the metal surface with a mixture of benzotriazole and organosilane was characterized in detail using modern techniques for surface investigation: Fourier-Transform Infrared spectroscopy (FT-IR), X-ray photoelectron spectroscopy (XPS), Scanning Electron Microscopy with Energy Dispersive Spectroscopy (SEM-EDS), and X-ray spectral microanalysis (XSMA). The application of these methods made it possible, with a high degree of reliability, to detail the processes occurring on the metal surface during the interaction of organosilane with it and to propose a diagram of the structure of the interface shown in
Figure 13. Nitrogen-containing benzotriazole, like other organic amines, can act as a catalyst for condensation reactions of the silanol group ((8), (9)), making these reactions occur more fully and, as a consequence, providing the formation of a denser cross-linked reticular siloxano-azole surface nanolayer (
Figure 13) [
38] that hinders the access of corrosive medium components (oxygen, water, electrolyte anions) to the surface.
The results of impedance measurements are presented in
Table 5. From
Table 5, it can be seen that non-modified steel has a relatively low polarization resistance (not exceeding 100 Ohm) of steel corrosion. Preliminary modification of the metal surface with a vinylsilane solution provided an insignificant increase in polarization resistance and inhibition of steel corrosion, whereas the capacitance even increased (see
Table 5), apparently due to the porosity of the vinyl siloxane surface layer that consists of linear oligomeric chains and does not prevent the access of electrolyte components to the metal surface. The use of the amino-containing silane led to a significant (more than by an order of magnitude) increase in polarization resistance, which might be caused by the formation of a more tightly crosslinked reticular polymer-oligomeric surface nanolayer comprising not only linear chains, but also cross-links. This may occur because the amino group is a catalyst for the hydrolysis of alkoxysilanes (-Si-OAlk) and formation of silanols (-Si-OH) (reaction (7)), condensation of organosilane silanol groups and hydroxyl groups on the metal surface (with the formation of covalent Me-O-Si bonds, reaction (8) and polycondensation of adjacent silanol groups (with formation of a surface siloxane polymer, reaction (9)). Moreover, aminosilane demonstrates a self-catalytic effect as it binds to the surface and forms a surface siloxane layer [
46]. To obtain cross-linked branched (reticular) polymer layers strongly bound to the surface, it is recommended to add a small amount of aminosilane to the modifying solution and use neutral organosilanes mixed with amino-containing silane [
47]. Earlier we have shown that incorporation of a mixture of amino- and vinyl-containing silanes into a polymer coating leads both to an increase in the coating adhesion and to the inhibition of stress corrosion cracking of pipe steel [
42].
The greatest increase in the polarization resistance of steel was observed after surface modification with solutions of mixed formulations: mixtures of VS and benzotriazole and, especially, mixtures of VS and AS (
Table 3). It has previously been shown in the literature [
17,
19,
38,
39] that the use of mixture of amino-and vinilsilanes [
42] and mixtures of organosilanes with organic corrosion inhibitors (in particular, with benzotriazole [
38]) leads to a significant increase in inhibitory efficiency, which significantly exceeded the efficiency of each of the mixture components. In addition, nitrogen-containing benzotriazole, similarly to organic amines, can act as a catalyst for condensation reactions of the silanol group ((7), (8)), causing the reactions to occur more completely and, as a result, provide the formation of a denser and better cross-linked reticulate siloxano-azole surface nanolayer whose structure is shown in
Figure 13, restricting the access of corrosive components of the medium (oxygen, water, electrolyte anions) to the surface.