183 This work is licensed under a Creative Commons Attribution 4.0 International License IHJPAS. 37 (2) 2024 Ibn Al-Haitham Journal for Pure and Applied Sciences Journal homepage: jih.uobaghdad.edu.iq PISSN: 1609-4042, EISSN: 2521-3407 Hadi J.M. Al-Agealy1* , Hossain Milani Moghaddam2 and Mudhafar J. Ali3 1Department of physics ,College of Education for Pure Science (Ibn-AL Haitham), University of Baghdad, Baghdad, Iraq. 2,3Department of Solid-State Physics, Faculty of Basic Sciences, University of Mazandaran, Babolsar, Iran. *Corresponding Author. Received: 5 April 2023 Accepted: 8 May 2023 Published: 20 April 2024 Abstract Abstract A theoretical study of electronic characteristics based on charge transfer using quantum model N719 dye-sensitized contact with TiO2 in solar cells. The current density expression used to calculate the photovoltaic characteristics is assumed to be a continuum level of the N719 dye and TiO2 semiconductor in the heterojunction N719-TiO2 devices using the MATLAB program. The transition energy, current, fill factor, and efficiency of N719-TiO2 DSSCs are calculated based on quantum transition theory. The performance of DSSCs photovoltaic was estimated based on the I-V characteristics of the N719-TiO2 device using concentrations (7 Γ— 1018 π‘π‘šβˆ’3) at (100 mW/cm2) irradiation. The N719-TiO2 device with Butanol solvent at concentration (3 Γ— 1018π‘π‘šβˆ’3) shows 0.8299 V, and (37.3034 mA/cm2) of open-circuit voltage and short-circuit current respectively fill factor of 0.206 compared to the open circuit of 0.8398 V and (87.5728 mA/cm2) and short-circuit current with fill factor of 0.257 at concentration of carrier (7 Γ— 1018π‘π‘šβˆ’3). Current density and fill factor at limited transition energy increase with increasing the coupling constant and concentration of N719 - TiO2 hetero junction and vice versa. Keywords: Electronic Characteristic, TiO 2 -N719, Dye-Sensitized, Solar Cell. 1. Introduction Concerns around climate change as a result of rising carbon dioxide levels in the atmosphere using fossil fuels and the increased demand for electricity due to an ever-growing population necessitate an effort to move away from the classical methods of energy production [1]. The necessity of switching to renewable energy to produce energy is urgent today. We can harness alternative sources for providing a sustainable and clean future using sunlight energy. Within this context, it is accessible, eco-friendly, and universal [2]. The photovoltaic solar cell has become more interested in energy research because it is a promised solution to the efficient conversion of solar energy. Additionally, more performance and device advancements are required to use this technology successfully in life [3]. The solar energy is one of the most sustainable and inexhaustible renewable sources that converts sunlight directly into electricity using solar cell devices without any pollutants [4]. Dye-sensitized solar cells, or "DSSCs," were begun after the work of Brian O’Regan and Michael GrΓ€tzel and have become a topic of interesting research for solar energy conversion because of their ease of doi.org/10.30526/37.2.3381 Theoretical Study of the Electronic Characteristic of a TiO2 -N719 Dye-Sensitized Solar Cell https://creativecommons.org/licenses/by/4.0/ https://jih.uobaghdad.edu.iq/index.php/j/index#1609-4042 https://jih.uobaghdad.edu.iq/index.php/j/index#2521-3407 https://orcid.org/0000-0002-6876-7692 mailto:hadi.j.m@ihcoedu.uobaghdad.edu.iq https://orcid.org/ mailto:milani@umz.ac.ir https://orcid.org/ mailto:mudhafar-jebur@outlook.com IHJPAS. 37 (2) 2024 184 manufacture, low costs, eco-friendliness, and high conversion efficiency [5]. The dye-sensitized solar cells (DSSCs) are third-generation photo-electrochemical cells, and the photoactive electrodes are metal oxide and liquid-state electrolytes. In the last decade, DSSC has attracted considerably more interest because of its low-cost production, ease of process, and high photoelectrochemical performance [6]. TiO2 is one of the oxide semiconductors with broadband gaps used as dye-adsorbed in the DSSCs technology that's renewed by the redox-coupled electrolyte solution [7]. The active medium usually consists of a donor state (organic solar cell) and an acceptor state (semiconductor) [8]. The basic reaction process in molecule contact with semiconductor electronic devices is the charge transfer reaction; electrons are moving between the donor state and the acceptor state [9]. The charge transfer is the main process in DSSCs that occurs in the solar cell system. Therefore, the transfer occurs under the assumed alignment of the energy levels of both the donor and acceptor states in DSSCs devices [10]. The N719 sensitized dye is widely used in DSSCs solar cells according to its many best characteristics, such as optical, electrochemical, synthesis, and photovoltaic properties [11]. In recent decades, charge transfer theory has been developed using different tools: analytical theory methods, time resolution, spectroscopy, and computer simulation [12]. Hadi et al. studied the charge transfer process in heterostructure devices according to the orientation energy under the alignment of energy states for materials in electronic devices. Electrons' move from one state to another is required to close energy levels in both materials [13]. The charge transfer in heterostructure devices depends on the orientation of the energy state in both the donor and acceptor states of contact [14]. DSSCs contain a sensitizer dye that absorbs sunlight to excite, and electrons are moved into the conduction band of TiO2. In general, the ruthenium N719 sensitizer dye has the best electronic stability and transportability to be used in DSSCs [15]. More TiO2 is being used as a photoanode for DSSC because it has a large surface area, is chemically stable, has large catalyst band edges, is not toxic, and has low recombination [16]. In recent years, the development of device structures, redox mediators, and sensitizers has improved the performance of DSSCs [17]. Di-tetrabutylammonium, cis-bis (isothiocyanato) bis (2,2β€²-bipyridyl-dicarboxylato 4,4β€²) N719- Rhenium(II) sensitizers are one of the appropriate sensitizer molecules with DSSCs [18]. Figure 1, illustrates the chemical structure of N719 [19]. In this work, the electronic characteristics of the N719- TiO2 heterojunction have been studied theoretically based on transition theory according to the quantum model. Figure 1. Structure of N719 sensitised dye [19] 2. Theory The probability of charge transfer per unit time from one state to another state in hetro- junction IHJPAS. 37 (2) 2024 185 may be given as [20]. 𝑇𝐷 𝐴(𝐸) = βˆ‘ 4πœ‹2 β„Ž |〈𝐻𝐢βŒͺ|2 πœŒπ‘Žπ‘(𝐸) (1) Where β„Ž is Planck constant, 𝐻𝐢 is the coupling constant between materials in hetro junction and πœŒπ‘Žπ‘(𝐸) is activation density, πœŒπ‘Žπ‘(𝐸) is given by [21]. πœŒπ‘Žπ‘(𝐸) = 𝐷𝑆 π‘™π‘Žπ‘ ( 6 πœ‹ ) 1 3⁄ (2) where 𝐷𝑆 the density of states at room temperature is, π‘™π‘Žπ‘ is the activated length .The density of states for the charge transfer can be written as [22] 𝐷𝑆 = 𝐷𝑑(𝐸)βŒ©οΏ½Μ‚οΏ½βŒͺ𝑑𝑆 βˆ’2 3⁄ (3) where 𝐷𝑑(𝐸) is density of charge in dye, βŒ©οΏ½Μ‚οΏ½βŒͺ is the density of state in a system, 𝑑𝑠 is the atomic density in semiconductor. The density of state in a system βŒ©οΏ½Μ‚οΏ½βŒͺ is [23]. βŒ©οΏ½Μ‚οΏ½βŒͺ = 1 √4πœ‹Ξ›π‘† π‘€π‘˜π΅π‘‡ π‘’βˆ’ (Λ𝑆 𝑀+βˆ†πΉ0)2 4Λ𝑆 π‘€π‘˜π΅π‘‡ (4) where βˆ†πΉ0 is driving energy, π‘˜π΅ is Boltzman constant ,T is room temperature, and Λ𝑆 𝑀 is the transition energy .The driving energy βˆ†πΉ0 is given by[24]. βˆ†πΉ0 = (πΈπ‘π‘žπΈπ‘œ) (5) where 𝐸𝑐 is conduction band of TiO2 and π‘žπΈπ‘œ is chemical potential of dye . Inserting Eqs (4),(3) and (2) in Eqs (1) to obtain . 𝑇𝐷 𝐴(𝐸) = βˆ‘ 4πœ‹2 β„Ž |〈𝐻𝐢βŒͺ|2 𝐷𝑑(𝐸) 1 √4πœ‹Ξ›π‘† π‘€π‘˜π΅π‘‡ π‘’βˆ’ (Λ𝑆 𝑀+βˆ†πΉ0)2 4Λ𝑆 π‘€π‘˜π΅π‘‡ 𝑑𝑆 βˆ’2 3⁄ π‘™π‘Žπ‘ ( 6 πœ‹ ) 1 3⁄ . (6) The current of charge through system is [25]. 𝐼 = 𝑒 βˆ‘ 𝐹(𝐸)𝑇𝐷 𝐴(𝐸) (7) where 𝐹(𝐸) is Fermi distribution in system. Inserting Eq.(6) in Eq.(7) and integrate to result. 𝐼 = 4πœ‹2 β„Ž |〈𝐻𝐢βŒͺ|2 1 √4πœ‹Ξ›π‘† π‘€π‘˜π΅π‘‡ 𝑒 βˆ’ (Ξ›+βˆ†πΉ0)2 4Ξ›π‘˜π΅π‘‡ 𝑑𝑆 βˆ’2 3⁄ π‘™π‘Žπ‘ ( 6 πœ‹ ) 1 3⁄ ∫ 𝐷𝑑(𝐸)𝐹(𝐸)𝑑𝐸 π‘žπΈ 0 (8) Integral in Equations 8 over chemical potential of dye is reduced to concentration of dye [𝑛] [26] ∫ 𝐷𝑑(𝐸)𝐹(𝐸)𝑑𝐸 π‘žπΈ 0 = [𝑛] (9) The current expression in Eq.(8) with Eq.(8) is reduced to: 𝐼(π‘šπ΄) = 4πœ‹2 β„Ž [𝑛]|〈𝐻𝐢βŒͺ|2 1 √4πœ‹Ξ›π‘† π‘€π‘˜π΅π‘‡ 𝑒 βˆ’ (Ξ›+βˆ†πΉ0) 2 4Ξ›π‘˜π΅π‘‡ 𝑑𝑆 βˆ’2 3⁄ π‘™π‘Žπ‘ ( 6 πœ‹ ) 1 3⁄ (10) The atomic density of semiconductor 𝑑𝑠 is estimated using the number of states 𝑁𝑠 and density of states 𝐷𝑠 and is written as [27]. 𝑑𝑠 = 𝑁𝑠 𝐷𝑠 (11) IHJPAS. 37 (2) 2024 186 The density of states 𝐷𝑠 of semiconductor is estimated using formula [27]. 𝐷𝑠 = 3 2 ( 𝑁𝑒 𝐸𝐹 ) (12) where 𝑁𝑒 is carrier concentration and 𝐸𝐹 is Fermi energy of semiconductor. The current density is given by ratio of current divided on area and given by 𝐼 ( π‘šπ΄ πΆπ‘š2) = 𝐼(π‘šπ΄) π΄π‘Ÿπ‘’π‘Ž (13) The fill factor is ratio relative to I-V curve's maximum power is unit less, it describes to the maximum power π½π‘šπ‘‰π‘š. and give ratio [28]. 𝐹𝐹 = π½π‘šπ‘‰π‘š π½π‘†π‘π‘‰π‘œπ‘ (14) where 𝐼𝑆𝑐 is short-circuit current, and Voc is open circuit voltages. Transition energy for charge transfer from one state to another state is [29]. Λ𝐴𝐷(𝑒𝑉) = 𝑒2 8πœ‹πœ€Β° [ 1 𝐷 Ξ›(𝑛, πœ€) βˆ’ 1 2𝑅 [Ξ›(π‘›π‘†π‘’π‘š, 𝑛) βˆ’ Ξ›(πœ€π‘†π‘’π‘š, πœ€)]] (15) Where 𝑒 and πœ€Β° are electric charge and vacuum permittivity, 𝐷 and R are the radius dye and distance between the complex and the semiconductor, respectively, Ξ›(𝑛, πœ–) = [ 1 𝑛2 βˆ’ 1 πœ€ ] is the polarity solvent as function of refrective index 𝑛 and dielectric constant πœ€ of solvent, Ξ›(π‘›π‘†π‘’π‘š, 𝑛) = [( π‘›π‘†π‘’π‘š 2 βˆ’π‘›2 π‘›π‘†π‘’π‘š 2 +𝑛2)( 1 𝑛2)] is an optical dielectric for semiconductor - solvent term where π‘›π‘†π‘’π‘š is refrective index of semiconductor and Ξ› (πœ€π‘†π‘’π‘š, πœ€) = [ πœ€π‘†π‘’π‘š 2 βˆ’πœ€2 πœ€π‘†π‘’π‘š 2 +πœ€2 1 πœ€2] is statical dielectric term where πœ€π‘†π‘’π‘š is dielectric constant of the semiconductor. The radii of atom and molecule evaluate according to apparent molar volumes approach [30]. 𝐷(π‘š) = ( 3 4πœ‹ 𝑀 π‘πœŒ ) 1 3 (16) where M is the m olecular weight, N is the Avogadro number, and ρ is the density of material. 3. Results and discussion The electronic characteristic of TiO 2-N719 hetero junction is investigated based on a theoretical model for charge transfer in DSSCs solar cell. We estimate the transition energy, current, atomic density, density of states, current density, and fill factor according to a simple theoretical scenario. In general, the electronic characteristics of N719-TiO2 devices were calculated theoretically by a MATLAB program as a function of transition energy Λ𝑆 𝑀(𝑒𝑉 in Eq. (15). Firstly, we calculate the radii of N719 and TiO2 according to the continuum model. In essence, the radii of both N719 dye and TiO2 are estimated using Eq.(16) by taking the molecular weight and density, M= 1188.55g/mol; the density 𝜌 = 1.52 g π‘π‘š3 for N719 dye and M=79.866g/mol and 𝜌 = 4.23 g π‘π‘š3for TiO2[31], results of the radii of N719 and TiO2 are 6.769 𝐴° and 1.956 𝐴0, respectively. Transition energy is calculated using Eq. (16) by inserting the parameters n=1.3993 and πœ€ = 17.51 of 1-Butanol [32], 𝑛𝑆 = 2.609 [31] and πœ€π‘† = 55 for TiO2, 𝐷 = 6.769 𝐴°, R=8.725 𝐴°to result Λ𝑆 𝑀 = 0.367eV. It shows that the N719-TiO2 system needs 0.367eV to start transferring from excited levels of dye to the conduction band in the TiO2 semiconductor. The density of states of the 𝐷𝑠 of TiO2 semiconductor is calculated by inserting the carrier concentration 𝑁𝑒 = 1.4 Γ— 1014 1 πΆπ‘š3 [33] and Fermi energy 𝐸𝐹 = 4.19𝑒𝑉 [34] IHJPAS. 37 (2) 2024 187 in Eq. (12) to give 𝐷𝑠 = 3.34 Γ— 1013 electron cm3.eV . The atomic density in Eq. (11) was estimated using 𝑁𝑠 = 8 π‘’π‘™π‘’π‘π‘‘π‘Ÿπ‘œπ‘› 𝑒𝑉 and 𝐷𝑠 = 3.34 Γ— 1013 electron cm3.eV [32] to result 𝑑𝑠 = 4.1766 Γ— 1018 1 π‘š3 . The electronic current of N719-TiO2 solar cell with 1-Butanol solvent is calculated using Eq.(10) which takes |〈𝐻𝐢βŒͺ|2=0.15,0.25,0.35,0.45,0.55,0.65,0.75,0.85, 0.95,1.05,1.15,1.25,1.35,1.45and 1.55 Γ— 10βˆ’2𝑒𝑉2,Λ𝑆 𝑀 = 0.339 𝑒𝑉, π‘™π‘Žπ‘ = 3𝐴0, 𝑑𝑠 = 4.17 Γ— 1018 1 π‘š3 , [𝑛] = (3 and7) Γ— 1024 1 m3 [35], results are listed in Table 1. Table 1. Results of electronic current calculation for N749/TiO2with 1-Butanol solvent Strength coupling |πžπ•/ 𝐬𝐭𝐚𝐭𝐞|𝟐 |〈π‘ͺπ‘ͺ𝑬𝑻βŒͺ|𝟐x10βˆ’2 The electronic current The electronic concentration πŸ‘ Γ— πŸπŸŽπŸπŸ’ 𝟏 π’ŽπŸ‘ πŸ• Γ— πŸπŸŽπŸπŸ’ 𝟏 π’ŽπŸ‘ 0.15 1.6666E-03 3.8888E-03 0.25 2.7777E-03 6.4814E-03 0.35 3.8888E-03 9.0739E-03 0.45 4.9999E-03 1.1666E-02 0.55 6.1110E-03 1.4259E-02 0.65 7.2221E-03 1.6852E-02 0.75 8.3332E-03 1.9444E-02 0.85 9.4443E-03 2.2037E-02 0.95 1.0555E-02 2.4629E-02 1.05 1.1666E-02 2.7222E-02 1.15 1.2778E-02 2.9814E-02 1.25 1.3889E-02 3.2407E-02 1.35 1.5000E-02 3.4999E-02 1.45 1.6111E-02 3.7592E-02 1.55 1.7222E-02 4.0185E-02 The current in Table 1, indicates that it depends on the concentration and coupling constant between N719 dye and TiO2 in a solar cell system. It can be seen that the current is increased upon increasing the coupling between N719 and TiO2 and increasing the concentration. However, the current density is calculated according to Eq. (13) by taking the results from Table 1 and dividing by the area of the cell (0.49 π‘π‘š2) [36]. The results are shown in Table 2. Table 2. Results of current density for N749/TiO2 with 1-Butanol Strength coupling |πžπ•/ 𝐬𝐭𝐚𝐭𝐞|𝟐 |〈π‘ͺπ‘ͺ𝑬𝑻βŒͺ|𝟐x10βˆ’2 The current density ( π’Žπ‘¨ π‘ͺπ’ŽπŸ) The electronic concentration πŸ‘ Γ— πŸπŸŽπŸπŸ– 𝟏 π‘ͺπ’ŽπŸ‘ πŸ• Γ— πŸπŸŽπŸπŸ– 𝟏 π‘ͺπ’ŽπŸ‘ 0.15 3.40122 7.9363 0.25 5.6687 13.2273 0.35 7.99363 18.51816 0.45 10.2038 23.80816 0.55 12.4714 29.1 0.65 14.7387 34.3918 0.75 17.0065 39.6816 0.85 19.2747 44.97346 0.95 21.54081 50.26326 1.05 23,80816 55.5551 IHJPAS. 37 (2) 2024 188 Both current and current density in Tables 1 and 2, are increased with increasing in the coupling of energy levels for dye and TiO2 in the system from 0.150x10βˆ’2 |eV/ state|2 to 1.550x10βˆ’2 |eV/ state|2. However, the current density in Table 2, increases with increasing the carrier concentration with 1-butanol solvent media in the system devices. In turn, the current density is affected by the fill factor and J-V characteristics of the cell. As it can be seen, the current density increases with an increasing the concentration from 3 Γ— 1018 1 πΆπ‘š3 to 7 Γ— 1018 1 πΆπ‘š3 by a percentage 2.33. This means more electrons are transferred with increasing the carrier cross-interface of N719 dye contact with the TiO2 hetero junction. Additionally, the concentration, coupling constant, and current density limit the electronic properties of N719-TiO2. The current density increases with increasing the coupling for concentrations in cell system. The photovoltaic J-V results of current density J (mA/cm2) and voltage in Volt for the N719 - TiO2 DSSCs using theoretical methods are shown in Table 3. Table 3. The photovoltaic J-V results for N719/TiO2 with 1-Butano The electronic concentration πŸ‘ Γ— πŸπŸŽπŸπŸ– 𝟏 π’„π’ŽπŸ‘ πŸ• Γ— πŸπŸŽπŸπŸ– 𝟏 πœπ¦πŸ‘ V (volt) 𝑱(𝑬)( π’Žπ‘¨ π’„π’ŽπŸ ) V (volt) 𝑱(𝑬)( π’Žπ‘¨ π’„π’ŽπŸ ) 0.8299 0 0.8398 0 0.8 3.40122 0.8 7.9363 0.75 5.6687 0.75 13.2273 0.7 7.99363 0.7 18.51816 0.65 10.2038 0.65 23.80816 0.6 12.4714 0.6 29.1 0.55 14.7387 0.55 34.3918 0.5 17.0065 0.5 39.6816 0.45 19.2747 0.45 44.97346 0.4 21.54081 0.4 50.26326 0.35 23,80816 0.35 55.5551 0.3 26.07755 0.3 60.84489 0.25 28.344898 0.25 136766. 0.2 30.61224 0.2 71.4265 0.15 32.87959 0.15 76.7183 0.1 35.1469 0.1 82.201020 0 37.3034 0 87.5728 1.15 26.07755 60.84489 1.25 28.344898 136766. 1.35 30.61224 71.4265 1.45 32.87959 76.7183 1.55 35.1469 82.201020 IHJPAS. 37 (2) 2024 189 The J-V characteristics are plotted in Figure 1, with two concentrations. Depending on the two curves in Figures 1 and 2 the average current and voltage in the open circuit can be limited, and the results are listed in Table 4 for both concentrations. Furthermore, the fill factor can be estimated using Eq.(14) under simulated AM 1.5 global sunlight (1 Sun, 100 mW/cm2) by using data of average current and voltage in the open circuit from the curves in Figure 1. The results are shown in Table 4, for both concentrations of 1-butanol solvent. (A) (B) Figure 1. The J-V curves with concentration carrier A) 3 Γ— 1018 1 π‘ͺπ’ŽπŸ‘ and B) 7 Γ— 1018 1 π‘ͺπ’ŽπŸ‘ of the N719-TiO2 devices Table 4. Photovoltaic parameters of the N719-TiO2 DSSCs employing two different types of concentration carriers As it can be seen, the fill factor increases with increasing the concentration from 3 Γ— 1018 1/π‘π‘š3to 7 Γ— 1018 1/π‘π‘š3. Table 4, shows that the average current π½π‘š is 32.755 mA/cm2 and voltage π‘‰π‘š is 0.195V in open-circuit where the current 𝐽𝑆𝑐 is 37.3034 mA/cm2 and the voltage π‘‰π‘œπ‘ is 0.8299 V in open circuit. The fill factor FF = 0.206 of N719-TiO2 DSSC with concentration3 Γ— 1018π‘π‘šβˆ’3. On the other hand, the average current π½π‘š is 61.010 mA/cm2 and the voltage π‘‰π‘š is 0.31V in open-circuit where the current 𝐼𝑆𝑐 is 87.5728 mA/cm2 and voltage π‘‰π‘œπ‘ is 0.8398V in open circuit and that the cell achieved a FF = 0.257 at concentration 7 Γ— 1018π‘π‘šβˆ’3. However, 𝐽𝑆𝑐 ( 87.5728 mAcmβˆ’β€‰2) at concentration 7 Γ— 1018π‘π‘šβˆ’3 was relatively higher than 𝐽𝑆𝑐  ( 37.3034 mAcmβˆ’β€‰2) at concentration 3 Γ— 1018π‘π‘šβˆ’3 and the π‘‰π‘œπ‘ (0.8398V) at 7 Γ— 1018π‘π‘šβˆ’3 was almost the same to the π‘‰π‘œπ‘β€‰( 0.8299V) at concentration 3 Γ— 1018π‘π‘šβˆ’3 offered by the TiO2 electrode. However, the increased increasing the carrier concentration results in increasing the current density and fill factor. 4. Conclusion The electronic characteristics of the N719-TiO2 device are investigated and studied using a simple transition model for charge transfer using two different concentrations of carriers. The butanol solvent was an active media for the N719-TiO2 solar cell due to the transition energy that's affected by the Variables The electronic concentration 𝟏/π’„π’ŽπŸ‘ πŸ‘ Γ— πŸπŸŽπŸπŸ– πŸ• Γ— πŸπŸŽπŸπŸ– 𝑱𝑺𝒄(π’Žπ‘¨/π’„π’ŽπŸ) 37.3034 87.5728 𝑽𝒐𝒄 Volt 0.8299 0.8398 π‘±π’Ž(π’Žπ‘¨/π’„π’ŽπŸ) 32.755 61.010 π‘½π’Ž Volt 0.195 0.31 F.F 0.206 0.257 IHJPAS. 37 (2) 2024 190 current density and fills factor parameters. Current, current density, and fill factor are strongly influenced by concentration and coupling constants with limit transition energy. Increasing both coupling strength and concentration at limited transition energy reduced increased transfer through N719-TiO2 devices and affected the J-V characteristic and fill factor of the solar cell. The (61.010 mA/ Cm2) and (0.31 Volt) exhibit large values of FF (0.286) at a carrier concentration of about 3 Γ— 1018 1 π‘π‘š3, which helps in understanding the performance device. Acknowledgement I extend my thanks to the College of Education for pure science Ibn Al-Haitham, University of Baghdad for assisting in completing this work by opening private laboratories and providing scientific facilities by the staff of the Physics Department to help support the research project. Conflict of Interest The authors declare that they have no conflicts of interest. Funding: None. References 1. Wilson, G. M.; Al-Jassim, M; Metzger, W. K.; Glunz, S. W.; Verlinden, P.; Xiong, G.; Mansfield, L. M.; Stanbery, B. J.; Zhu, K.; Yan, Y. The photovoltaic technologies roadmap, J. Phys. D Appl. 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