Journal of Nanomaterials
Volume 2015 (2015), Article ID 680201, 9 pages
http://dx.doi.org/10.1155/2015/680201

Research Article

Spacer Thickness-Dependent Electron Transport Performance of Titanium Dioxide Thick Film for Dye-Sensitized Solar Cells

Reda E. El-Shater,1,2 Mohamed M. Abdel-Galeil,1,3 Go Kawamura,¹ and Atsunori Matsuda¹

¹Department of Electrical and Electronic Information Engineering, Toyohashi University of Technology, 1-1 Hibarigaoka, Tempaku-cho, Toyohashi, Aichi 441-8580, Japan
²Physics Department, Faculty of Science, Tanta University, Tanta 31527, Egypt
³Analytical & Electrochemistry Research Unit, Chemistry Department, Faculty of Science, Tanta University, Tanta 31527, Egypt

Received 23 April 2015; Revised 15 July 2015; Accepted 29 July 2015

Academic Editor: Chuanbao Cao

Copyright © 2015 Reda E. El-Shater et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract.

A titanium dioxide (P25) film was deposited by cast coating as conductive photoelectrode and subsequently immersed in dye solution (N719) to fabricate the photoanode of dye-sensitized solar cells (DSSCs). A plastic spacer was used as a separation and sealant layer between the photoanode and the counter electrode. The effect of the thickness of this spacer on the transfer of electrons in the liquid electrolyte of the DSSCs was studied by means of both IV curves and electrochemical impedance. Using a spacer thickness range of 20 μm to 50 μm, efficiency ranges from 3.73% to 7.22%. The highest efficiency of 7.22% was obtained with an optimal spacer thickness of 40 μm.

1. Introduction

O’Regan and Grätzel discovered the third generation of solar cells 20 years ago; the cells were so-called dye-sensitized solar cells (DSSCs) which showed photoelectric energy conversion rate reaching 7.1%. The simple structure and low-cost fabrication of DSSCs have attracted a large number of researchers in an effort to improve its efficiency and stability [1, 2].

The structure of DSSC is as follows: photoanode made of a glass sheet treated with a transparent conductive layer, typically indium tin oxide (ITO) or fluorine-doped tin oxide (FTO). This conducting glass sheet is coated with a porous oxide layer (typically TiO₂) to aid in electron transfer and a monolayer charge-transfer dye covalently bonded to the surface of the porous oxide layer to enhance light absorption. A cathode (counter electrode) is made of a typically ITO or FTO glass substrate, as a conducting medium for the electrons generated at the photoanode, sputtered with a catalyst (typically platinum) to catalyze a redox couple electrolyte (typically iodide/iodine). The two electrodes are combined, separated by a hollow plastic spacer. The space between the two electrodes is filled with an electrolyte, containing a redox mediator in an organic solvent, effecting dye regenerating [3]. Thus, the amount of the electrolyte is proportional to the space between the two electrodes and hence the thickness of the spacer. When the DSSC device is exposed to sunlight, the dye absorbs light and gets excited, injecting the excited electrons into the conduction band of the porous TiO₂; the electrons are transported to the conducting ITO or FTO glass layer which transports them, through a load to the counter electrode. At the counter electrode, the electrons are transferred to the electrolyte, which serves as a hole conducting medium in the reaction, 3I⁻ + 2h⁺ = . This is catalyzed by the platinum. At the electrolyte-dye interaction face, the dye is regenerated by the reaction, 2I⁻ + Dye⁺ → + Dye, where is diiodide radical. The triiodide is regenerated from this reaction by the disproportionation reaction of the diiodide, 2 → I⁻ + . During these processes, electrons in the conduction band of semiconductor may be recombined with the dye sensitizer or electron acceptor species in the electrolyte solution. The electron collection efficiency in DSSC is determined by the competition between transport of electrons within the porous semiconductor on one hand and recombination of electrons with ions in the electrolyte on the other hand [4].

The overall performance of DSSC can be evaluated in terms of cell efficiency () and fill factor (FF) expressed as

where is the short-circuit current density (mA/cm²), the open-circuit voltage (), and the incident light power. and correspond to current and voltage values, respectively, where the maximum power output is given in the curve. The open-circuit voltage varies with the iodide concentration because the recombination reaction occurs between the electrons on the conduction band of TiO₂ and triiodide (). A variety of similar circuits have been studied and data obtained by electrochemical impedance spectroscopy shows that FF can be optimized by minimizing internal series resistance [3].

The most efficient DSSCs are based on a mesoporous nanocrystalline TiO₂ film which serves as a substrate for both the dye and the electron conductor. This provides not only large surface area for the adsorption of dyes for light harvesting, but also a network for electron transport to the FTO glass substrate and subsequently to the external circuit. Thus, the different parameters of the TiO₂ photoanode, such as particle size, thickness, and the surface area, play important roles in the performance of DSSC [4]. A lot of studies have been performed to enhance or arrive at optimum efficiency of DSSC depending on the semiconductor active layer [5–12], the type of dye [13, 14], the composition and concentration of electrolyte [13, 15, 16], and the type and thickness of counter electrode [17–21]. Wang et al. have used submicron SiO₂/TiO₂ core/shell particles which scatter light in the dye-sensitized solar cells and the power conversion efficiency of dye-sensitized solar cells was increased by about 50% after the introduction of light scattering SiO₂/TiO₂ core/shell particles in the photoanode [5].

Chou et al. have investigated the applicability of a hybrid TiO₂ electrode by introducing microcrystalline TiO₂ particles as light scattering layer in the working electrode. They have found optimum conditions to arrive at beast power conversion efficiency of the DSSC depending on the structure of hybrid TiO₂ electrode. The microcrystalline TiO₂ particles improved the DSSC of working electrode consisting of commercial TiO₂-P25 from 5.16% without scattering particles into 7.02%, with optimum composite structure of 50% TiO₂ particles (P-25) and 50% TiO₂ scattering particles with an average size of 268.7 [6]. Kang et al. have modified a TiO₂ film by adding light scattering particles and applied it to an anode electrode in solid state dye-sensitized solar cells (DSSCs). The TiO₂ films with 10 wt% (versus TiO₂ weight) light scattering particles showed enhanced performance (28%), compared with nanocrystalline TiO₂ films [7].

Choi et al. have studied the surface of light scattering TiO₂ particles in the dye-sensitized solar cell (DSSC). The TiO₂ particles were dual-coated with Al₂O₃ and SiO₂ nanoparticles. It was revealed that the dual-coated light scattering TiO₂ particles lead to an increase in short-circuit photocurrent of DSSC device, resulting in an increase in energy conversion efficiency. This seems to be due to the increase of the light scattering by a combination of the light scattering TiO₂ particles and the oxide nanoparticles such as Al₂O₃ and SiO₂ [8].

Lai et al. have prepared submicron-sized functional YVO₄ : Eu³⁺, Bi³⁺@SiO₂ core-shell particles using a hydrothermal method. These particles were embedded in the photoanodes of dye-sensitized solar cells. The embedded YVO₄ : Eu³⁺, Bi³⁺@SiO₂ particles not only enhanced light scattering within the photoanode, but were also able to downconvert ultraviolet light to visible light. The enhanced light scattering can greatly extend the light traveling distance within the photoanode, while the ultraviolet-visible downconversion property can effectively improve the utilization efficiency of short wavelength photons by the dye-sensitized solar cells. The embedded submicron-sized YVO₄ : Eu³⁺, Bi³⁺@SiO₂ particles increased the power conversion efficiency of dye-sensitized solar cell by about 64% from 3.6% to 5.9% [9]. Lee et al. have fabricated nanoporous TiO₂ nanotubes (TNTs) modified by TiCl₄. The TiCl₄ treatment on TNTs film enhanced short-circuits current density (). But also aluminum oxide (Al₂O₃) posttreatment enhanced open-circuit voltage (). As a result, Al₂O₃ posttreatment on TNTs film realized conversion efficiency of 8.65%, which is 7% higher than only TiCl₄ treatment [11].

Zhu et al. have fabricated dye-sensitized solar cells (DSSCs) based on double-layered films of TiO₂ nanospheres and TiO₂ nanorod arrays (NRAs). TiO₂ nanospheres, including TiO₂ hollow spheres (HSs) and TiO₂ solid spheres (SSs), were served as light scattering layers on TiO₂ NRAs as composite photoanodes. Owing to the synergic effects of the TiO₂ HSs (SSs) and NRAs, including large specific surface area of HSs (SSs) as light scattering layer for effective dye adsorption and harvesting light and rapid electron transport in one-dimensional TiO₂ NRAs, the optimal energy conversion efficiency of DSSCs with as-prepared double-layered films as nanocomposite photoanode (5.40%) was far higher than the ones using single-layered NRAs films (1.56%) [10]. Zhao et al. dye-sensitized solar cells (DSCs) based on different thickness of mesoporous TiO₂ thin film electrodes were fabricated with dye C106. The overall conversion efficiency () was improved when the thickness of TiO₂ film increased from 2.1 μm to 9.8 μm, and obvious decreases of and were found when the film thickness was further increased over 9.8 μm. The results showed that the density of states and recombination rate increased with the film thickness increasing. Furthermore, when the film thickness was in the range of 2.1–9.8 μm, the electron lifetime (), the electron diffusion coefficient (), and the electron diffusion length () of devices increased, but these parameters decreased gradually with the further increased thickness of TiO₂ film, which influenced the electronic transport performance of DSSCs [12].

Yella et al. have reported microscopic solar cells that incorporate a tris(bipyridyl)-based redox electrolyte in conjunction with a custom synthesized donor-π-bridge-acceptor zinc porphyrin dye as sensitizer (designated YD2-o-C8). The specific molecular design of YD2-o-C8 greatly retards the rate of interfacial back electron transfer from the conduction band of the nanocrystalline titanium dioxide film to the oxidized cobalt mediator, which enables attainment of strikingly high photovoltages approaching 1 volt. Because the YD2-o-C8 porphyrin harvests sunlight across the visible spectrum, large photocurrents are generated. Cosensitization of YD2-o-C8 with another organic dye (Y123) further enhances the performance of the device, leading to a measured power conversion efficiency of 12.3% under simulated air mass 1.5 global sunlight [13].

Kim et al. have reported on synthetic strategy of organic dye to get high photovoltage. Phenothiazine (PTZ) moieties are incorporated between electron donating triphenylamine (D) and electron accepting cyanoacrylic acid (A) to enhance nonplanarity. Compared to one PTZ incorporation (D-PTZ-A), hypsochromic shift in absorption is observed by incorporation of two PTZs (D-PTZ1- PTZ2-A). D-PTZ1- PTZ2-A shows higher photovoltage (0.804 V) than D-PTZ-A (0.781 V), those which are even higher than that of the ruthenium-based N719-sensitized one (0.775 V). Little difference in electron transport rate is observed for PTZ derivatives and N719, while electron lifetime is increased in the order of D-PTZ1- PTZ2-A > D-PTZ-A > N719. Retardation of electron recombination is responsible for the high photovoltage, which is associated with bent conformation induced by PTZ spacer group [14].

The essential properties of a material to be used as counter electrode in a dye-sensitized solar cell are a low charge-transfer resistance and high exchange current densities for the reduction of the oxidized form of the charge mediator [17]. The best material that acts as a catalyst and provides high exchange current for this reaction is platinum. However, researchers tried to use a carbon counter electrode consisting of a low-cost carbon powder but the performance is low maybe due to much higher electrical resistance than Pt [18]. Anandan et al. have studied the possibility of replacing the more expensive Pt counter electrode by p-CuO nanorod. The assembled CuO nanorods as cathode in dye-sensitized solar cells are able to achieve an energy conversion efficiency of 0.29% whereas for Pt counter electrode as cathode an energy conversion efficiency of 1.32% is obtained at the same illumination conditions. The large surface area, excellent stability, low production cost, and good electrical properties of p-CuO nanorod are quite promising considering that further optimization of the photovoltaic performance is possible in the future [17].

The electrolyte is a key component of dye-sensitized solar cells (DSSCs). It functions as a charge carrier, collecting electrons at the cathode and transporting them back to the dye molecules. One important factor that needs to be considered, when using redox couple electrolyte, is its concentration. At low iodine concentration, it is difficult to maintain sufficient electrolyte conductivity and hence rapid redox reaction. On the other hand, when iodine concentration is too high, electron recombination at the TiO₂-electrolyte interface deteriorates the performance of DSSCs and meanwhile the rate of light absorption by redox couple is increased [22, 23]. The above factors are usually explored to prepare low-cost advanced materials for photovoltaic energy production and also study the mechanism of photovoltaic processes in this class of solar cells.

The above findings have been performed to understand the link between each component (dyes, electrolytes, and counter electrodes) and solar cell performance and could help in increasing the solar cell efficiency to the levels required for commercialization. But no one tries to study experimentally the effect of spacer thickness on cell performance. There is theoretical study point to the effect of spacer thickness and electrolyte amount on cell parameters [24]. In this study, we try to investigate the - curves, EIS measurements, and their parameters to understand the role of spacer thickness in DSSC.

2. Experimental Details

2.1. Materials

All reagents were of commercial grade and were used without further purification. The commercial TiO₂P25 powder was purchased from Wako (Japan). Ethylene glycol (EG) and citric acid (CA) were both purchased from Shin-Etsu (Japan). The deionized water used in this work was obtained by a water distillation apparatus (Toyo Seisakusho Kaisha, AQUARIUSPFD 23 ONA, Japan). FTO glass substrate (10 Ω□⁻¹, 85% transmittance) was purchased from Astellatech (Japan). Absolute ethanol (99.99%) was obtained from Wako (Japan). Titanium isopropoxide (TTIP), acetylacetone (AcAc), iodine, 4-tert-butylpyridine (TBP), lithium iodide, acetonitrile, and the Ru dye [cis-di(thiocyanato)-bis(2,2-bipyridyl-4,4-dicarboxylate) ruthenium(II) (N719)] were purchased from Aldrich (Japan). The spacer was purchased from DuPont-Mitsui Polychemicals Co. Ltd., Japan.

2.2. Preparation of TiO₂ Sols

A TiO₂ sol was prepared according to the Legrand-Buscema method [25]. In brief, TTIP was dissolved in dry isopropanol and vigorously stirred at room temperature for 30 min. Pure AcAc was added with a molar ratio of 1 : 3 and the mixture stirred for 1 h. Finally glacial acetic acid was slowly added to the solution to initialize the hydrolysis via an esterification reaction which leads to the in situ production of water, which initiates the hydrolysis. The molar ratio of acetic acid : TTIP was 1 : 5.

2.3. Preparation of P25 Paste

The P25 paste was prepared by a ball-milling method at room temperature. 5.6 g of P25 powder was ball-milled with 13 mL of ethylene glycol for 24 h, and then 12.6 g of citric acid was added and ball-milling continued for another 24 h [22].

2.4. Preparation of Photoanode and DSSCs

TiO₂ thin films were coated on FTO substrates with TiO₂ sols by a sol-gel dip-coating (KSV Instrument, Dip-Coater KSV-DC, Japan) using various withdrawing speeds (e.g., 1, 5, and 10 mm min⁻¹). After withdrawing, the films were calcined in air at 450°C for 30 min using a heating rate of 10°C min⁻¹. The P25 paste was then coated onto the substrates by cast coating and sintered at 450°C for 30 min. In order to maintain a relatively constant film thickness, a double-layer adhesive tape was used for the P25 paste casting on the FTO substrate, obtaining an average film thickness of 8 μm. The electrodes were then immersed in a 0.5 mM ethanolic N-719 dye solution, for 24 h at room temperature, to allow complete dye adsorption. The counter electrode was made of a platinum-sputtered ITO glass substrate. The photoanode and the counter electrode were then separated by a hallow spacer and clamped together to form sandwich-type DSSC configuration [26]. An electrolyte composed of 0.1 M LiI, 0.05 M I₂, 0.6 M 1-methyl-3-propylimidazolium iodide, and 0.5 M tert-Butyl pyridine in dried acetonitrile was injected into the space between the photoanode and the counter electrode. The experimental process of the sealed solar cell is shown in Figure 1.

Figure 1: The experimental process for fabrication of the sealed solar cell.

2.5. Physical Measurements

The crystallinity, phase purity, and particle size of P25 were evaluated by powder X-ray diffraction (XRD) [Rigaku, Ultima IV diffractometer (30 kV, 20 mA, Japan) with CuKα radiation ( = 1.5406 Å)]. The thickness of TiO₂ coated was evaluated by scanning electron microscope (SEM) (JEOL, S-4800, Japan). The sample was sputtered with a thin layer of platinum to avoid the charging effect. The thickness was measured using a cross section.

The current-voltage curves of the fabricated DSSCs were measured under illumination of AM 1.5 solar simulator, combined with a potentiostat/galvanostat (Bunkoukeiki, OTENTO-SUN, Japan).

Electrochemical impedance evaluation spectra of the DSSCs were obtained using a potentiostat electrochemical interface (Solartron Analytical, Model SI-1287, UK), which was connected to a frequency response analyzer (Solartron Analytical, Model 1252A, UK), and operating in a two-electrode mode, with a frequency range of 300 kHz–0.10 Hz at an AC voltage of 10 mV. The frequency-dependent impedance was fitted using the Z-view software accompanied with Solartron equipment, with the aim of obtaining the space charge capacitance of TiO₂-coated FTO electrodes.

3. Results and Discussion

3.1. Crystalline and Phase Purity of P25

XRD was used to investigate the consistent phase of the commercially available P25. XRD of P25 shows a strong peak intensity around 25.3° (Figure 2(a)) and also peaks around 38°, 48°, and 55° which are characteristic of anatase-type TiO₂ (JCPDS 21-1272). Weak peaks of rutile phase (35 and 44°) appeared after heat treatment at 450°C (Figure 2(b)). Moreover, it was found that the anatase peaks for the heat treated TiO₂ sample were obviously sharper than those of the original P25 sample, demonstrating that the heat treatment process improved the crystallinity of TiO₂. The XRD patterns also clearly reveal that the film does not contain other phases, such as brookite.

Figure 2: XRD patterns of commercially TiO₂ P25: before (a) and after (b) heating at 450°C.

3.2. The IV Curves of DSSC

3.2.1. Optimization of P25 Layer Thickness

Figures 3(a), 3(b), and 3(c) represent the three different thicknesses of P25 samples prepared with thicknesses of 8, 10, and 12 μm, respectively. Figure 3(d) shows the - characteristics of DSSCs fabricated using these samples. The detailed photovoltaic parameters such as , , , and FF are registered in Table 1. With increasing P25 layer thickness, FF increased and decreased. This would represent that the generation rate of free electrons increased, but at the same time recombination rate also increased. Thus, there was a competition between electron generation and recombination. Increasing the photoanode thicknesses caused decrease in the overall photovoltaic parameters values and hence decreases in the efficiency from 4.2% at 8 μm to 2.7% at 12 μm. Thus, the best photoanode thickness of 8 μm was obtained among these samples.

Table 1: - parameters of DSSCs with different thicknesses of P25 layer.

P25 thickness (μm)
8
10
12

(mA cm⁻²)
14.9
12.0
7.3

(V)
0.81
0.80
0.73

FF
0.36
0.37
0.51

  %
4.2 ± 0.09
3.8 ± 0.03
2.7 ± 0.11

Figure 3: Cross section of SEM images of TiO₂ P25 layers with thicknesses of (a) 8, (b) 10, and (c) 12 μm. (d) It is the corresponding - curves.

3.2.2. Optimization of Spacer Thickness

Figure 4 shows the - characteristics for the DSSCs fabricated with two different amounts of electrolyte. The detailed photovoltaic parameters are shown in Table 2 and showed that when the amount of electrolyte decreased by around 50%, the photovoltaic parameters decreased, but the fill factor increased. The reason for decreases of short-circuits current and open-circuit voltage would be that inadequate amount of injected electrolyte caused fewer amounts of liberated electrons and fewer amounts of electrons to accumulate at the photoanode. Then, we investigated the detailed effects of electrolyte amount on DSSC performance by changing the spacer thicknesses.

Table 2: - parameters of DSSCs with different amounts of electrolyte.

Electrolyte amount (mL)
6 × 10⁻³
3 × 10⁻³

(mA cm⁻²)
14.5
9.5

(V)
0.804
0.801

FF
0.36
0.43

  %
4.2 ± 0.09
3.2 ± 0.10

Figure 4: - curves of two DSSC samples have different amount of electrolyte solution.

Changing the spacer thicknesses has been obtained by adding multilayers of spacer (each layer has a thickness of 10 μm) on the photoelectrode. Photocurrent-voltage characteristics of the corresponding DSSCs are shown in Figure 5, and the detailed photovoltaic parameters are summarized in Table 3. The convergence of photocurrent-voltage curves at short-circuit and open-circuit points indicates that the two vital parameters, and , are independent of spacer thicknesses. The efficiency increased from 2.47% at 10 μm to 7.21% at 40 μm and then decreased to 5.92% at 50 μm spacer thickness. However, in the vicinity of maximum power, there was increasing optimal slope of the photocurrent-voltage curves with increasing spacer thickness; the optimum was 40 μm.

Table 3: - parameters of DSSCs with different spacer thicknesses.

Spacer thickness (μm)
10
20
30
40
50

(mA cm⁻²)
6.0
8.0
13.56
18.4
18.7

(V)
0.747
0.735
0.757
0.76
0.755

FF
0.55
0.63
0.56
0.51
0.41

  %
2.476 ± 0.08
3.73 ± 0.152
5.84 ± 0.26
7.21 ± 0.25
5.92 ± 0.23

Figure 5: - curves of DSSC samples with different spacer thicknesses: 10, 20, 30, 40, and 50 μm.

According to a model work publication [9], the efficiency of the DSSC depended on electrolyte layer thicknesses. For smaller spacer thicknesses, the amount of electrolyte was inadequate to produce maximum generation of free electrons which compensate the liberated electrons in Ru dye. On the other hand, for larger spacer thicknesses, there was abundant amount of electrolyte which produced equivalent amount of liberated electrons in dye but increased the path length of free electrons through electrolyte and therefore increased the recombination probability of free electrons in the bulk of electrolyte due to the Warburg resistance of the electrolyte.

3.3. Electrochemical Impedance Spectroscopy

Electrochemical impedance spectroscopy (EIS) is an effective method for measuring the current response to the application of an AC voltage as a function of the frequency [27]. To investigate the interfacial characteristics of the DSSCs, the EIS measurements were performed over the frequency range of 0.1 Hz to 300 kHz. The applied bias voltage was set to the open-circuit voltage () of the DSSCs, and AC amplitude of 5 mV was applied [28]. The internal resistances of the DSSCs consist of the sum of the resistances from each of the elements in the solar cell. There are contributions from the working electrode, the counter electrode, and the material transport between the electrodes.

The series resistance, , is from the conduction through the conducting glass at the working and counter electrodes of the cell, which is primarily related to the sheet resistance of FTO. The transfer impedance ( and ) should be due to the charge-transfer processes occurring at the dye/electrolyte interface and P25 particles (P25/dye/electrolyte interface); this resistance is due to the recombination during charge-transfer process between the semiconductor and the electrolyte. The transport impedance and represented the electron transport process inside the P25 layer, and are the charge-transfer impedance of the reduction of redox species ( to I⁻) at the counter electrode, and the diffusion impedance (Warburg) of should be in the electrolyte; redox species in electrolyte diffuse between the working and counter electrodes and give rise to a diffusion resistance, . The impedance from the diffusion of ions (Warburg impedance) is mainly determined by the diffusion of the redox species between the counter and working electrodes, which is well described by the Nernst diffusion impedance [27]:

where is the diffusion resistance and the angular frequency is . The characteristic frequency is given by and the characteristic time of ion diffusion is , where is the diffusion coefficient of species of electrolyte and is the effective thickness of the cell, and the diffusion resistance is in the low frequency region of the impedance spectra [29].

In Nyquist plot (Figure 6(a)), the impedance arcs of DSSCs decreased gradually with increasing spacer thickness, from 30 μm to 50 μm. From the EIS calculations, using the fitting program (Z view), we could conclude that, with small amount of electrolyte, there was high value of internal resistance, which consisted of transport resistance () and transfer resistance (). Larger amount of electrolyte gave smaller impedance arc diameter.

(a)

(b)

Figure 6: (a) Nyquist plots of three DSSC samples with 30, 40, and 50 μm spacer thicknesses with error bar 10%. The red solid lines represent the fitting curves of the corresponding equivalent circuit in (b).

The impedance spectra were fitted to a geometrically appropriate equivalent circuit, as shown in Figure 6(b). The transport resistance and charge transfer from recombination process are following exponential behavior, in which the increase of concentration of charges lowers the measured resistances [30, 31]. The data in Table 4 represent that the values of , , and decrease with increasing spacer thicknesses indicating increasing the rate of recombination. Consequently, transport and recombination resistances affect the concentration of electrons in the film. The diffusion length, , is defined by the charge-transfer resistance for recombination and transport resistance by the efficiency, by which the injected electrons are collected at the conducting substrate ( [32]). To achieve high charge-carrier collection efficiency, the diffusion length needs to be larger than the film thickness, . The diffusion length for our DSSCs was found to be excellent because their values are higher than the TiO₂ film thickness ( = 8 μm). The second charge-transfer process which would normally be detected is the charge-transfer process at the counter electrode, which is related to the reduction of the redox couple in the electrolyte, , increasing with an increase in the flux of electrons at the counter electrode [31]. Because the cross section area (area of active layer 1 cm × 1 cm) and sputtered Platinum thickness (100 nm) are the same for all samples, the data of and have no distinct changes.

Table 4: EIS parameters of DSSCs with different spacer thicknesses.

DSSC
(Ω)
(Ω)
(μF)
(Ω)
(μF)
(Ω)
  μF
(Ω)
(μm)
(ms)
τ (ms)

30 μm
13.2
783 ± 39
9.6 ± 0.3
4228 ± 64
9.9 ± 0.1
1.24
0.66
802 ± 107
23.0
41.9
7.75

40 μm
8.17
533 ± 20
16.8 ± 0.8
1075 ± 30
10.4 ± 0.1
1.74
0.23
319 ± 109
14.2
11.2
5.55

50 μm
8.1
212 ± 11
45.0 ± 0.3
577 ± 32
10.8 ± 0.4
1.29
0.35
3303 ± 528
16.4
6.3
2.31

The electron lifetime () in the P25 layer can be calculated as follows [32]:

the time constant for the transfer of electrons from the electrolyte to the P25 layer decreased with increasing spacer thickness. This behavior may thus explain the decrease in fill factor in spite of the increase of photocurrent density inside the P25 layer. In simulation process, the electron transit time (), through the P25 layer, could be obtained by the following equation [33]:

comparing with other groups using experimental technique like the open-circuit voltage decay (OCVD) [4, 23], the calculated time constants are approximately in the same order. It is interesting to note that the cell containing spacer thickness of 30 μm gives the highest lifetime () value as seen in Table 4. This result can be attributed to the slower of both the recapture of conduction band electrons by ions and the recombination process. On the other hand, it was found that, at using 40 μm spacer thicknesses, the highest efficiency value has been obtained which is in good agreement with minimum value of Warburg resistance.

According to the fitted data in Table 4, as spacer thickness increases, the internal resistance and electron lifetime decrease. This behavior points to no gradual change of cell parameters. The decrease of internal resistance led to improvement of the cell parameters, while the decrease of lifetime rising of the recombination process [33, 34] resulting in deteriorates the cell parameters. So, there is a competition between the effect of internal resistance and lifetime changes.

In addition, there is another competition inside electrolyte solution between diffusion coefficient of the oxidant and/or reluctant and number of electrons involved; all these parameters increase with increasing amount of electrolyte and represent a minimum value of Warburg resistance and maximum value of the cell efficiency, and therefore these conditions agree at optimum spacer thickness at 40 μm. In this case, the effective deciding factors were the electrolyte Warburg resistance, internal resistance, and electron lifetime.

4. Conclusion

This study has helped in enhancement of DSSCs efficiency from about 3.2% to high value 7.2%, with optimum conditions of P25 layer thickness, spacer thickness, and amount of electrolyte. An optimum thickness of 8 μm was obtained for the P25 layer. The efficiency increased with increasing spacer thickness, obtaining an optimum thickness of 40 μm. From EIS measurements, the highest efficiency of 7.2% was achieved at the lower value of Warburg resistance corresponding to the amount of electrolyte using the optimum spacer thickness of 40 μm.

Conflict of Interests

The authors declare that there is no conflict of interests regarding the publication of this paper.

Acknowledgments

The authors wish to express their gratefulness to the Egyptian government for the scholarship to Japan. The authors would also like to thank Mr. Teruhisa Okuno and Mr. Pascal Nbelayin, who assisted in doing all experiments. This work was financially supported by Tatematsu Foundation.

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