The Low-Temperature Sol-Gel Synthesis of Metal-Oxide Films on Polymer Substrates and the Determination of Their Optical and Dielectric Properties

Photoactive, optically transparent heterostructures from silver nanowires and titanium dioxide were obtained by the sol-gel method on the surface of a polyethylene terephthalate film. The characteristics of optical transmission on the wavelength and those of dielectric permittivity, conductivity and dissipation on frequency in the range of 25–1,000,000 Hz were investigated.


Introduction
Transparent conductive electrodes (TCFs) are used in various optoelectronic devices such as OLED, solar batteries and touch screens as they determine characteristics of these devices such as light transmission, absorption, injection and emission [1][2][3]. A promising research direction now is creating flexible optoelectronic devices on transparent polymer substrates as, in addition to the convenience of application of such devices, another advantage of their use consists in replacing conventional vacuum technologies of production with alternative methods, such as 2d printing and the deposition of transparent conductive layers by solution technologies. Among the widely used electroconductive transparent oxides, indium tin oxide (ITO), most often applied in TCF, has low resistance and a high transmission coefficient. However, bending an ITO film electrode leads to its damage, and it loses losing electric characteristics. Moreover, ITO electrodes are produced on expensive vacuum equipment, increasing the prices of the goods in which this material is used. Among other materials that are considered to be potential alternatives to ITO are: silver nanowires, carbon nanotubes and graphene and metal grids [4][5][6][7]. These materials make the electrode flexible, whereas nonflexibility is among the ITO electrodes' drawbacks. However, layers of graphene or carbon nanotubes as well as metal grids deposited on the surface of flexible transparent substrates have low electric and optical properties compared with ITO and high costs of production and dispersion into homogeneous suspensions without bundles or aggregates (carbon nanotubes) or separate sheets (graphene) and thus remain at the research stage [8,9]. One of the advantages of silver nanowires over the other above-mentioned alternative materials is that TCFs can be produced by employing a very simple coating process, which makes their production costs low, while the nanowire coating resistance and transmission characteristics are similar to those of conventional ITO electrodes. In particular, silver nanowire TCFs are suitable for producing flexible TCFs because their resistance changes under mechanical deformation and the layers of silver nanowires can be formed on TCF at low temperatures [10]. We have earlier studied the optical and dielectric properties of nanocomposites obtained on the surface of a transparent polyethylene terephthalate film by the layer-by-layer method combining the sol-gel technology and colloid-chemical reduction of silver and gold ions and alternating them with layers of titanium dioxide films. We have obtained optico-dielectric characteristics of coatings from titanium dioxide and TiO 2 , TiO 2 /Ag and TiO 2 /Ag/TiO 2 silver anisotropic nanoparticles and found the interconnection of the optical transmission with the frequency dependence of the dissipation factor for these materials [11,12].
The aim of this study is to identify regularities of mutual effects of spectral and dielectric characteristics of thin metal-oxide films on the spectral and dielectric properties of heterostructures obtained by combining films with different conductivity types and optical characteristics. We also aim to develop a low-temperature method of obtaining photoactive metal-oxide semiconductor films on flexible transparent polymer substrates.
One of the goals of the study was to obtain transparent electroconductive coatings by using nanoheterostructures of silver nanowires and titanium dioxide films on a flexible transparent substrate from polyethylene terephthalate. Another task was to compare the effect of combining isotropic and anisotropic silver fillers of films on their optical and dielectric properties.
Metal nanowires of the same size can be synthesized by different chemical methods, among which the most astonishing results are achieved by the polyol process [13,14]. In the polyol synthesis, silver ions are reduced as a result of the following reactions in heated ethylene glycol: It is assumed that the process of silver nanowire formation in polyol synthesis follows the scheme shown in Figure 1 [15,16].
ing a very simple coating process, which makes their production costs low, while the nanowire coating resistance and transmission characteristics are similar to those of conventional ITO electrodes. In particular, silver nanowire TCFs are suitable for producing flexible TCFs because their resistance changes under mechanical deformation and the layers of silver nanowires can be formed on TCF at low temperatures [10].
We have earlier studied the optical and dielectric properties of nanocomposites obtained on the surface of a transparent polyethylene terephthalate film by the layer-bylayer method combining the sol-gel technology and colloid-chemical reduction of silver and gold ions and alternating them with layers of titanium dioxide films. We have obtained optico-dielectric characteristics of coatings from titanium dioxide and TiO2, TiO2/Ag and TiO2/Ag/TiO2 silver anisotropic nanoparticles and found the interconnection of the optical transmission with the frequency dependence of the dissipation factor for these materials [11,12].
The aim of this study is to identify regularities of mutual effects of spectral and dielectric characteristics of thin metal-oxide films on the spectral and dielectric properties of heterostructures obtained by combining films with different conductivity types and optical characteristics. We also aim to develop a low-temperature method of obtaining photoactive metal-oxide semiconductor films on flexible transparent polymer substrates.
One of the goals of the study was to obtain transparent electroconductive coatings by using nanoheterostructures of silver nanowires and titanium dioxide films on a flexible transparent substrate from polyethylene terephthalate. Another task was to compare the effect of combining isotropic and anisotropic silver fillers of films on their optical and dielectric properties.
Metal nanowires of the same size can be synthesized by different chemical methods, among which the most astonishing results are achieved by the polyol process [13,14]. In the polyol synthesis, silver ions are reduced as a result of the following reactions in heated ethylene glycol: 2HOCH2CH2OH → 2CH3CHO + 2H2O 2Ag + + 2CH3CHO → CH3CHO-OHCCH3 + 2Ag + 2H + It is assumed that the process of silver nanowire formation in polyol synthesis follows the scheme shown in Figure 1 [15,16].  The authors studying silver nanostructures synthesized by the polyol method have shown that the process of initial nucleation has a great effect on the final product morphol-Nanomaterials 2022, 12, 4333 3 of 12 ogy [13]. The process of crystallization nuclei formation is normally controlled by adding inorganic ions or organic molecules to the reaction system [17]. The authors of works [18,19] synthesized different silver nanostructures including nanocubes, nanowires and nanotetrahedrons using the polyol process with a chloride addition known as "oxidative etching of nuclei". By changing the concentration and synthesis duration it is possible to control the diameter of silver nanowires [13]. At the same time, changes in the concentration have a greater effect on product morphology, whereas the possibilities to control the diameter by changing the reaction duration are quite limited [13,14,[18][19][20][21][22][23][24].

Synthesis of Components for Consecutive Deposition of Electroconductive Photoactive Layers
The TiO 2 sol was prepared by the low-temperature sol-gel method using titanium tetraisopropylateTi(OC 3 H 7 ) 4 (98%, Aldrich, St Louis, MO, USA) as a precursor [25]. To do so, 10 mL titanium isopropylate was slowly added, by drops and under constant mixing, to bid stilled water (100 mL) heated to 80 • C. This immediately produced a white fluffy precipitate. The precipitate suspension was mixed with nitric acid (65% HNO 3 , Aldrich, St Louis, MO, USA) at the ratio [Ti]/[H + ] = 2.5. The obtained colloid was mixed at 70 • C for 4 h with the aggregated amorphous precipitate, due to peptization and heat effects, transformed into a transparent colloidal opalescent TiO 2 sol that was used for forming films on the surface of the transparent polyethylene terephthalate substrate and obtaining a dry powder. Figure 2 presents the XRD (D8 Advance, Bruker, Germany) pattern of prepared sample. The qualitative phase composition was determined using the PCPDFWIN database, the full-profile analysis program POWDER CELL 2.4. and the data from the crystallographic and crystallochemical database for minerals and their structural analogs (URL http:// database.iem.ac.ru/mincryst (accessed on 1 October 2022)).
phology [13]. The process of crystallization nuclei formation is normally control adding inorganic ions or organic molecules to the reaction system [17]. The auth works [18,19] synthesized different silver nanostructures including nanocubes, nan and nanotetrahedrons using the polyol process with a chloride addition known a dative etching of nuclei". By changing the concentration and synthesis duration it sible to control the diameter of silver nanowires [13]. At the same time, changes concentration have a greater effect on product morphology, whereas the possibil control the diameter by changing the reaction duration are quite limited [13,14,18-

Synthesis of Components for Consecutive Deposition of Electroconductive Photoactive Layers
The TiO2 sol was prepared by the low-temperature sol-gel method using tit tetraisopropylateTi(OC3H7)4 (98%, Aldrich, St Louis, MO, USA) as a precursor [25] so, 10 mL titanium isopropylate was slowly added, by drops and under constant m to bid stilled water (100 mL) heated to 80 °C. This immediately produced a white precipitate. The precipitate suspension was mixed with nitric acid (65% HNO3, A St Louis, MO, USA) at the ratio [Ti]/[H + ] = 2.5. The obtained colloid was mixed at 70 4 h with the aggregated amorphous precipitate, due to peptization and heat effects formed into a transparent colloidal opalescent TiO2 sol that was used for forming fi the surface of the transparent polyethylene terephthalate substrate and obtaining powder. Figure 2 presents the XRD (D8 Advance, Bruker, Germany) pattern of prepare ple. The qualitative phase composition was determined using the PCPDFWIN da the full-profile analysis program POWDER CELL 2.4. and the data from the cry graphic and crystallochemical database for minerals and their structural analogs http://database.iem.ac.ru/mincryst (accessed on 1 October 2022)). The TEM image (TEM JSM-6510LV, JEOL Ltd, Japan) of titanium dioxide na ticles are shown in Figure 3. The sample has a homogeneous structure with a narro ticle size distribution (BET method, NOVA 1200e gas sorption analyzer, Quantach Boynton Beach, Florida, USA). The TEM image (TEM JSM-6510LV, JEOL Ltd, Japan) of titanium dioxide nanoparticles are shown in Figure 3. The sample has a homogeneous structure with a narrow particle size distribution (BET method, NOVA 1200e gas sorption analyzer, Quantachrome, Boynton Beach, FL, USA). Nanomaterials 2022, 12, x FOR PEER REVIEW 4 of 12 The TiO2 film morphology was analyzed by atomic-force microscopy (SOLVER P47H-PRO, NT-MDT, Russia) ( Figure 4). The obtained data indicate the uneven distribution of titanium dioxide nanoparticles in the film, which enables the effective interphase interaction of titanium dioxide with the silver nanoparticles. Additionally, the narrow size distribution of titanium dioxide nanoparticles with the maximum around 16 nm contributes to the formation of tight contacts on the interphase boundary TiO2-Ag.  The syntheses conducted in advance, in which the quality of the obtained nanowires was controlled by optical microscopy, showed that the optimal ratio of the components  The TiO2 film morphology was analyzed by atomic-force microscopy (SOLVER P47H-PRO, NT-MDT, Russia) ( Figure 4). The obtained data indicate the uneven distribution of titanium dioxide nanoparticles in the film, which enables the effective interphase interaction of titanium dioxide with the silver nanoparticles. Additionally, the narrow size distribution of titanium dioxide nanoparticles with the maximum around 16 nm contributes to the formation of tight contacts on the interphase boundary TiO2-Ag.  The syntheses conducted in advance, in which the quality of the obtained nanowires was controlled by optical microscopy, showed that the optimal ratio of the components   6 were used as intensifiers of the anisotropic growth of Ag nanowires during the synthesis procedure.

Development and Optimization of Conditions of Polyol Synthesis of Silver Nanowires as Fillers of TiO2/Ag and TiO2/Ag/TiO2 Nanoheterostructures
The syntheses conducted in advance, in which the quality of the obtained nanowires was controlled by optical microscopy, showed that the optimal ratio of the components ensuring the largest yield of the target product with the minimum content of Ag isotropic nanoparticle impurities during the synthesis was: In a typical procedure of synthesizing silver nanowires (Ag_NW), 1.3 g of PVP was added to 6.67 mL of EG and heated over an oil bath (at the temperature of 150 • C) for 1 h with a magnetic agitator (260 rpm). Then, 13.3 mL of a solution containing 1 g AgNO 3 and 0.00213 g KCl in EG precooled in a refrigerator was added to the mixture by drops from a light-proof syringe. The solution color changed during the synthesis procedure from transparent colorless to yellow (over 1 min), then it became orange-red (over 3 min), then gradually turned green (over 5 min) followed by dimming and gradual transition from green to brown-red (over 30 min) and, finally, to a nontransparent grey-crème color. After Ag nanowires were formed, the reaction was stopped by cooling the reaction vessel in a water bath. The centrifuged sediment was washed with acetone and water to remove the excess EG and PVP, dried and redispersed in isopropyl alcohol.
Silver nanowires were also obtained via microwave treatment of the systems used earlier in the synthesis with direct heating. In this case, solutions of silver nitrate, PVP, KCl or K 4 Fe(CN) 6 in ethylene glycol were mixed util complete dissolution was achieved in a dry box in a nitrogen atmosphere (Ag_NW_MW). Then they were poured into a Teflon vessel with a lid. This reactor was placed into a microwave oven (sample preparation system MC-6 (OOO NTF Volta, St. Petersburg, Russia) at atmospheric pressure) with power regulation from 200 to 1000 W. To prevent excessive pressure rise inside the reactor, the microwave during the synthesis was heated with power pulses for 1.0 min with subsequent relaxation for 0.5 min. The total duration of the microwave heating was 6 min. Then the reactor was cooled to room temperature. The fluffy layer of silver nanowires formed on the surface was separated, washed with deionized water and acetone, dried and redispersed in isopropyl alcohol.

Obtaining of Optically Transparent Electroconductive Films on the Surface of a Polyethyleneterephthalate Substrate
To obtain functional films of titanium dioxide, a sol with the known titanium concentration was deposited on the substrate surface and evenly distributed on the surface with an air brush. Then, the obtained film was dried in a drying box in an air environment at the temperature of 70 • C. To obtain a layer of silver wires, an aliquot of silver nanowire suspension with the known weight concentration was deposited on the substrate surface and evenly distributed over the surface also with an air brush. The concentration was controlled by visually monitoring when percolation was achieved.

Experimental Apparatuses and Methods
The film transmission coefficients in UV, visible and near IR-region of the spectrum were studied with spectrophotometers Cary 100 and ЛOMOБИK (LOMO BIK). The studies of dielectric characteristics of the films at room temperature were conducted with an RCL meter E7-20. For dielectric measurements, we used a cell with cylindrical stainless-steel electrodes. The electrodes were forced against each other with a strong spring. In this case, we applied a polyethylene terephthalate film (with an indium-tin oxide layer deposited on it by magnetron deposition) as the platform for composite coating formation. This conductive layer was used as the bottom electrode of the capacitor, which was connected with the sensing wire of the RCL-meter E7-20. The surface of the indium-tin oxide film was first coated with a layer of titanium dioxide by dipping from solution into a layer of silver by the technique described above. The obtained sandwich was fixed in the capacitor cell, and measurements were made.

Results and Discussion
Optical conductivity is one of the most powerful instruments for studying electronic states in materials. The frequency dependence of dielectric properties reflects the fact that material polarization does not immediately react to the applied electric field. For this reason, the dielectric constant is often viewed as a complex function of the frequency of the applied field. An ideal dielectric is a nonconductive material. Materials with low dielectric losses prevent the spread of electromagnetic energy that could increase their conductivity. The real component of optical conductivity (σ) of a crystal is the function of the image component of dielectric permittivity [26,27]: σ op = Im (ε).
The ratio of direct current conductivity to optical conductivity σ dc /σ op is often used as a quality indicator for evaluating properties of transparent electrodes. The high value of σ dc /σ op indicates that an increase in the transmission coefficient T is accompanied by low resistance of the conducting layer R sh . The interrelation between T, R sh and σ dc /σ op in works [26,27] is expressed by the following empirical formula: Ohm is the vacuum impedance. However, no direct interrelation has been established between the transmission coefficient and the material electric properties. That is why in practice, the conductivity and transmission coefficient of the films under study are compared with those of indium-tin oxide films. It should be said that for anisotropic systems, such as composites of silver nanowires, carbon nanotubes and graphenes, optical transmission and electric conductivity depend on the measurement direction. Common practice is to measure the surface conductivity of such composites in the XY plane and the axial light transmission along the Z axis, which is not quite correct. That is why in this work, we used optical and electric characteristics of films obtained by transmitting light and electric current along the Z axis. Figure 5 shows an image of silver nanowires obtained by adding K 4 Fe(CN) 6 in the field of an optical microscope. As the data shows, the images have no obvious nanowire agglomerates. applied field. An ideal dielectric is a nonconductive material. Materials w losses prevent the spread of electromagnetic energy that could increase t The real component of optical conductivity (σ) of a crystal is the func component of dielectric permittivity [26,27]: σop = Im (ε).
The ratio of direct current conductivity to optical conductivity σdc/σ a quality indicator for evaluating properties of transparent electrodes. σdc/σop indicates that an increase in the transmission coefficient T is acc resistance of the conducting layer Rsh. The interrelation between T, Rsh an [26,27] is expressed by the following empirical formula: Ohm is the vacuum impedance. However, no direct inter established between the transmission coefficient and the material electri is why in practice, the conductivity and transmission coefficient of the f are compared with those of indium-tin oxide films. It should be said th systems, such as composites of silver nanowires, carbon nanotubes and g transmission and electric conductivity depend on the measurement di practice is to measure the surface conductivity of such composites in the axial light transmission along the Z axis, which is not quite correct. Th work, we used optical and electric characteristics of films obtained by and electric current along the Z axis. Figure 5 shows an image of silver nanowires obtained by adding field of an optical microscope. As the data shows, the images have no o agglomerates. The structural characteristics of the silver nanowires synthesized tional and microwave methods were studied by scanning electron micro ure 6 shows the SEM images of Ag_NW nanowires obtained by the con (Figure 6a) and those obtained by microwave radiation (Figure 6b).
According to the atomic-force microscopy data (Figure 7), a silve uniform distribution by thickness of about 200 nm and by length of abo The structural characteristics of the silver nanowires synthesized by both conventional and microwave methods were studied by scanning electron microscopy (SEM). Figure 6 shows the SEM images of Ag_NW nanowires obtained by the conventional method ( Figure 6a) and those obtained by microwave radiation (Figure 6b).
According to the atomic-force microscopy data (Figure 7), a silver nanowire has a uniform distribution by thickness of about 200 nm and by length of about 7 µm. Nanomaterials 2022, 12, x FOR PEER REVIEW 7 of 12  The data of the energy dispersion analysis (Table 1) indicate that the element concentrations during the synthesis procedure and in the obtained material are the same. As Figures 8 and 9 show, the appearance of absorption maxima on the absorption spectra of the TiO2/Ag/TiO2 nanocomposite for the film on the polyethylene terephthalate surface is characteristic of elongated anisotropic particles of nanowires. The obtained results confirm the shape of metal nanoparticles obtained by processing the SEM image data. It should be mentioned that the essential factor for achieving Plasmon resonance in   The data of the energy dispersion analysis (Table 1) indicate that the element c trations during the synthesis procedure and in the obtained material are the same. As Figures 8 and 9 show, the appearance of absorption maxima on the abso spectra of the TiO2/Ag/TiO2 nanocomposite for the film on the polyethylene tereph surface is characteristic of elongated anisotropic particles of nanowires. The obtain sults confirm the shape of metal nanoparticles obtained by processing the SEM The data of the energy dispersion analysis (Table 1) indicate that the element concentrations during the synthesis procedure and in the obtained material are the same. As Figures 8 and 9 show, the appearance of absorption maxima on the absorption spectra of the TiO 2 /Ag/TiO 2 nanocomposite for the film on the polyethylene terephthalate surface is characteristic of elongated anisotropic particles of nanowires. The obtained results confirm the shape of metal nanoparticles obtained by processing the SEM image data. It should be mentioned that the essential factor for achieving Plasmon resonance in nanosystems is obtaining nanoparticles in the range from 10 to 20 nm. All this means that the appearance of characteristic absorption peaks for a composite with silver nanowires can be caused by the surface plasmon effect characterized by quanta of high-density charge vibrations propagating along the boundary of the metal particles' surface.
Nanomaterials 2022, 12, x FOR PEER REVIEW nanosystems is obtaining nanoparticles in the range from 10 to 20 nm. All this mean the appearance of characteristic absorption peaks for a composite with silver nano can be caused by the surface plasmon effect characterized by quanta of high-d charge vibrations propagating along the boundary of the metal particles' surface.  The frequency-dependent conductivity and dielectric permittivity of a film ar large extent, determined by the Maxwell-Wagner-Sillars mechanism [28][29][30] (Figur  12). A big difference in the conductivity between a silver nanowire and titanium d leads to large charge accumulation at the interface because it prevents the free cu flow across the interface. The accumulated charges are directly proportional to the d ence in conductivities between the metal and dielectric phases, and the interface be as a nanocapacitor. The formation of numerous nanocapacitors at the interface of nanowires and titanium dioxide is realized through the Maxwell-Wagner-Sillars m nism. For illustrative purposes, we can use an RC scheme to present the interface a behavior when alternating current flows through it. In this case, the nanocapacitor c anomaterials 2022, 12, x FOR PEER REVIEW nanosystems is obtaining nanoparticles in the range from 10 to 20 nm. All this mean the appearance of characteristic absorption peaks for a composite with silver nano can be caused by the surface plasmon effect characterized by quanta of high-de charge vibrations propagating along the boundary of the metal particles' surface.  The frequency-dependent conductivity and dielectric permittivity of a film are large extent, determined by the Maxwell-Wagner-Sillars mechanism [28][29][30] (Figure  12). A big difference in the conductivity between a silver nanowire and titanium dio leads to large charge accumulation at the interface because it prevents the free cu flow across the interface. The accumulated charges are directly proportional to the d ence in conductivities between the metal and dielectric phases, and the interface beh as a nanocapacitor. The formation of numerous nanocapacitors at the interface of s nanowires and titanium dioxide is realized through the Maxwell-Wagner-Sillars m nism. For illustrative purposes, we can use an RC scheme to present the interface an behavior when alternating current flows through it. In this case, the nanocapacitor c considered a series connection of a plane capacitor (C) and a resistor (R). The plane c The frequency-dependent conductivity and dielectric permittivity of a film are, to a large extent, determined by the Maxwell-Wagner-Sillars mechanism [28][29][30] (Figures 10-12). A big difference in the conductivity between a silver nanowire and titanium dioxide leads to large charge accumulation at the interface because it prevents the free current flow across the interface. The accumulated charges are directly proportional to the difference in conductivities between the metal and dielectric phases, and the interface behaves as a nanocapacitor. The formation of numerous nanocapacitors at the interface of silver nanowires and titanium dioxide is realized through the Maxwell-Wagner-Sillars mechanism. For illustrative purposes, we can use an RC scheme to present the interface and its behavior when alternating current flows through it. In this case, the nanocapacitor can be considered a series connection of a plane capacitor (C) and a resistor (R). The plane capacitor denotes the function of accumulation of electric charges, while the resistor denotes the function of resistance to the current. When alternating current flows through such scheme, at a certain frequency the electrons jump over the nanocapacitor, and the conductivity of the alternating current increases, but the accumulated charges decrease. As a result, this leads to higher conductivity in the interlayer and reduces the dielectric permittivity with a frequency increase. Nanomaterials 2022, 12, x FOR PEER REVIEW 9 of 12 tivity of the alternating current increases, but the accumulated charges decrease. As a result, this leads to higher conductivity in the interlayer and reduces the dielectric permittivity with a frequency increase.   tivity of the alternating current increases, but the accumulated charges decrease. sult, this leads to higher conductivity in the interlayer and reduces the dielectric tivity with a frequency increase.   Films of TiO2/Ag and TiO2/Ag/TiO2 nanoheterostructures have been obtaine flexible polyethylene terephthalate substrate and their dielectric and optical pro were studied. We also studied the effect of the layer-by-layer introduction of silver particles of anisotropic structure and those in the form of nanowires into the struc TiO2/Ag and TiO2/Ag/TiO2 nanoheterostructure films on the optical and dielectric erties of materials.

Conclusions
We studied a multilayer TiO2/Ag/TiO2 heterostructure with a silver nanowir as the transparent composite electrode that demonstrated high conductivity and transparency. A layer of silver nanowires between the TiO2 layers sharply reduc composite resistance without a significant decrease in the transparency. The TiO2 fil formly coats the silver nanowires filling the cavities and covering the transitions be the Ag nanoparticles. The upper TiO2 layer that fills the cavities between the silve owires facilitates concentration of charge carriers on the interphase boundary. The ing interfacial polarization on the interphase boundary metal semiconductor, in a ance with the Maxwell-Wagner-Sillars theory, with an increase in the frequency alternating current flowing in the system, leads to conductivity growth and reduct dielectric permittivity.  Films of TiO 2 /Ag and TiO 2 /Ag/TiO 2 nanoheterostructures have been obtained on a flexible polyethylene terephthalate substrate and their dielectric and optical properties were studied. We also studied the effect of the layer-by-layer introduction of silver nanoparticles of anisotropic structure and those in the form of nanowires into the structure of TiO 2 /Ag and TiO 2 /Ag/TiO 2 nanoheterostructure films on the optical and dielectric properties of materials.

Conclusions
We studied a multilayer TiO 2 /Ag/TiO 2 heterostructure with a silver nanowire filler as the transparent composite electrode that demonstrated high conductivity and good transparency. A layer of silver nanowires between the TiO 2 layers sharply reduces the composite resistance without a significant decrease in the transparency. The TiO 2 film uniformly coats the silver nanowires filling the cavities and covering the transitions between the Ag nanoparticles. The upper TiO 2 layer that fills the cavities between the silver nanowires facilitates concentration of charge carriers on the interphase boundary. The resulting interfacial polarization on the interphase boundary metal semiconductor, in accordance with the Maxwell-Wagner-Sillars theory, with an increase in the frequency of the alternating current flowing in the system, leads to conductivity growth and reductions in dielectric permittivity.

Data Availability Statement:
The data presented in this study are available in the article.