IHJPAS. 36 (4) 2023 171 This work is licensed under a Creative Commons Attribution 4.0 International License *Corresponding Author: hadi.j.m@ihcoedu.uobaghdad.edu.iq Abstract In this paper, a theoretical study was introduced to discussion the Influence of donor sensitizer on efficiency of solar cell with clear focusing on dye sensitized solar cell DSSCs applications was presented. Use of donor as -sensitizer dye in solar cells was a viable contender in photovoltaic due to their spectrum of excited state to transfer more electrons to conduction band of semiconductor .In this study, two systems Alq3/ZnO and D149/ZnO devices taken with same two solvents .Transition energy ,coupling strength and transition parameters are used to calculate the electron current density , it uses to calculate the photovoltaic characteristic I-V ,fill factor and the efficiency of the solar cell .Especially, the largest performance was for the both D149/ ZnO and Alq3/ZnO solar cells based on Acetonitrile as a solvent with electron current density of (430 and 13.8) mA/cm^2 between (0.1 to 0.6) V and produced the highest efficiency calculated 2.593 and 0.938for the both solar cell was corresponds to the lowest efficiency about 0.536 for Alq3/ZnO with Ethanol solvent. Keyword: Donor Sensitize Dye , Alq3/ZnO , D149/ZnO 1.Introduction doi.org/10.30526/36.4.3382 Article history: Received 5 April 2023, Accepted 8 May 2023, Published in October 2023. Ibn Al-Haitham Journal for Pure and Applied Sciences Journal homepage: jih.uobaghdad.edu.iq Theoretical Study of the Influence of Donor Sensitize Dye on Performance of Dye-sensitized D149/ ZnO and Alq3/ZnO Solar Cells DSSCs Hadi J.M.Al-Agealy* Department of Physics, College of Education Pure Science, Ibn Al-Haitham, University of Baghdad, Baghdad, Iraq Taif Saad Al Maadhede Department of Physics, College of Education Pure Science, Ibn Al-Haitham, University of Baghdad, Baghdad, Iraq Mohammad Hafizuddin Jumali School of Applied Physics, Faculty of Science and Technology, University Kebangsaan Malaysia, 43600, Selangor, Malaysia. Chi Chin Yap Pensyarah Universiti/ Jabatan Fizik, Gunaan, China. https://creativecommons.org/licenses/by/4.0/ mailto:hadi.j.m@ihcoedu.uobaghdad.edu.iq mailto:hadi.j.m@ihcoedu.uobaghdad.edu.iq mailto:p97498@siswa.ukm.edu.my mailto:hafizhj@ukm.edu.my mailto:ccyap@ukm.edu.my IHJPAS. 36 (4) 2023 172 Today, with the increasing population, the humanity is embarking upon the path of dependency to demanded for sustainable and continuous energy supply because fossil fuels represent finite resources and most estimates suggest that proven oil reserves will not be sufficient to meet global demand by at least the mid-21st century [1]. The main of strategies to meet this demand is alternative energy sources or renewable energy sources ,its clean energy and safe, from the surround such as solar, wind, hydropower, geothermal energy, hydropower and biomass[2].The solar technological has been constituting a sizable chunk to give the abundance of approximated to one hour of solar irradiation amounted for annual global energies that's needed from solar energy [3]. The photovoltaic (PV) solar cell is devices woks to convert the sun light directly into electricity . It is well-suited for a variety of outdoor applications, indoor and at various application [4]. To fulfill this goal of low cost and clean energy produced using renewable resources, it has been necessary to fabrication higher efficient photovoltaic with lower cost[5].Dye-sensitized solar cells (DSSCs) are becoming a promised because higher efficiency, cost-effectiveness, ease of fabrication, and environmentally friendly[6]. Several experimental techniques and variety theoretical were adopted to improvement the works performance of DSSCs and understand the mechanism to enhancement their efficienc[7].Operation of DSSCs are depended on the charge transfer process from excited dye molecules to conduction band semiconductor material [8]. Hadi et al studied charge transfer interaction process in different heterostructure devices depending on the investigation of the orientation energy with the alignment of energy levels of materials in electronic devices. The electron' moves from one state to another were required to close energy levels in both materials [9]. The charge transfer in variety of heterostructure devices depends on the transition of the energy state in both donor and acceptor states of contact in heterostructure devices [10].Recently, the searches develop device structures, sensitizers and redox mediators that's improvement the performance of DSSCs [11]. It's very interesting to utilize dye molecules, that have a broad absorption spectrum, to absorb photons to increase the electric conversion efficiency of cells [12]. Alq3 is one of sensitizer dye uses in many application named Tris (8-hydroxyquinolinato) Aluminium (Alq3),it has the molecular weight 459.43(g/mol),density 1.31(g/cm3),ionization energy5.8 eV, chemical formula C27H18AlN3O3 and structure is illustrated in figure (1-A) [13]. On the other hand ,the D149 sensitized dye named( 5-[[4-[4 - ( 2,2 - Diphenylethenyl)phenyl]-1,2,3-3a,4,8b- hexahydrocyclopent[b]indol-7-yl]methylene]-2-(3-ethyl-4-oxo-2- thioxo-5-thiazolidinylidene)-4-oxo-3-thiazolidineacetic acid, Indoline) and have ,molecular weight 741.94,2.141 g.cm-3 ,chemical structure C42H35N3O4S3 and structure is given in figure (1-B) [14]. The chemical structure of organic Alq3 and D149 dyes are shown in Figures 2(A) and 2(B), respectively. IHJPAS. 36 (4) 2023 173 A B Figure 1.Chemical structure of sensitized dyes (A) (Alq3)dye and (B) D149 [13,14]. Furthermore, Alq3 and D149 are attractive organic dyes are already using in DSSCs solar cells. The schematic of energy levels is depicted in Figure 2[15]. Figure2. Illustrated of charge transfer at molecules-semiconductor interfaces [15]. Both ZnO and TiO2 semiconductors are wide band gap (3.73eV and 3.2eV ) of the II-VI semiconductor group ,there are promising in materials science and have crystal structure (tetragonal rutile and Wurzite) , molecular weight 81.38 g/mol and 79.866 g/mol , mass density 5.66 g/cm3 and 4.23 g/cm3, dielectric constant 8.5 and 55 with refractive index2.0033 and 2.5688 and electrons concentration 𝑁(𝐸) = 2.2 Γ—Γ— 1024(1 /cm3) and 1.163Γ— 1025(1 /cm3) [16]. In this paper, theoretical study based on quantum theory approach introduced to discussion the influence of donor sensitizer dyes Alq3 and D149 on performance of DSSCs devices . 2. Theory The current of electrons transfer from the one state to the other state (𝐼) s given by [17]: 𝐼𝑛 = 𝑒 βˆ‘ 𝐹(𝐸𝑛)∞ 𝑛=1 𝑇𝐷 𝐴(𝐸) (1) where 𝑒 is the electronic charge, 𝐹(𝐸𝑛) is Fermi-Dirac probability of charge transfer from donor to acceptor states and 𝑇𝐷 𝐴(𝐸) is transmission probability.Transmission probability has been given as [18]: 𝑇𝐷 𝐴(𝐸) = 2πœ‹ ℏ βŒ©π•„π· 𝐴βŒͺ2 𝛿(𝐸𝑛) (2) where ℏ is Dirac constant , 𝕄𝐷 𝐴 is the strength coupling constant between the donor and the acceptor 𝛿(𝐸𝑛). Substituting Eq.(2) into Eq. (1) and introduced the current density οΏ½Μ‚οΏ½(𝐸𝑛) into IHJPAS. 36 (4) 2023 174 get . 𝐼𝑛 = 2πœ‹π‘’ ℏ βˆ‘ 𝐹(𝐸𝑛)∞ 𝑛=1 βŒ©π•„π· 𝐴βŒͺ2οΏ½Μ‚οΏ½(𝐸𝑛)𝛿(𝐸𝑛) (3) The current density of states οΏ½Μ‚οΏ½(𝐸𝑛 ) is given as [19]: βŒ©οΏ½Μ‚οΏ½(βˆˆπ‘–)βŒͺ = √ 1 4πœ‹Ξ›π΄π·kBT 𝑒 βˆ’(Λ𝐴𝐷+βˆ†πΈ0)2 4Ξ›π΄π·π‘˜π΅π‘‡ (4) where βˆ†πΈ0 is the driving force energy as function of conduction band energy ECB and chemical potential π‘žπΈ0 for molecule dye . Substituting Eq. (4) in Eq. (3) and integrate to results . 𝐼𝑛 = 2πœ‹π‘’ ℏ ∫ 𝐹(𝐸𝑛)βŒ©π•„π· 𝐴βŒͺ2√ 1 4πœ‹Ξ›π΄π·kBT 𝑒 βˆ’(Λ𝐴𝐷+βˆ†πΈ0)2 4Ξ›π΄π·π‘˜π΅π‘‡ 𝛿(𝐸𝑛) ∞ βˆ’βˆž dE (5) The density of state for semiconductor ( πœŒπ‘’(𝑆𝑒)(E)) in the system which given by [20]. πœŒπ‘’(𝑆𝑒)(𝐸) = 𝛿(𝐸𝑛) = 𝐷𝑠 𝑙𝑆 ( 6 πœ‹ ) 1 3⁄ 𝑑𝑆 βˆ’2 3⁄ (6) where 𝐷𝑠 is the electronic density of states in semiconductor, 𝑙𝑆 is effective length, and 𝑑𝑠 is atomic density of the semiconductor.Substituting Eq. (6) into Eq. (5), the result is : 𝐼 = 2πœ‹π‘’ ℏ √ 1 4πœ‹Ξ›π΄π·kBT ∫ 𝐹(𝐸) ∞ βˆ’βˆž βŒ©π•„π· 𝐴βŒͺ2𝑒 βˆ’(Λ𝐴𝐷+βˆ†πΈ0)2 4Ξ›π΄π·π‘˜π΅π‘‡ 𝐷𝑠 𝑙𝑆 ( 6 πœ‹ ) 1 3⁄ 𝑑𝑆 βˆ’2 3⁄ 𝑑𝐸 (7) However, the potential barrier (π•Œ ) at interface of donor and the acceptor is [21]: π•Œ = [Λ𝐴𝐷+(πΈπ‘π‘βˆ’π‘žπΈ0) )]2 4Λ𝐴𝐷 (8) Substituting Eq.(8) into Eq. (7) to give: 𝐼 = 2πœ‹π‘’ ℏ √ 1 4πœ‹Ξ›π΄π·kBT βŒ©π•„π· 𝐴βŒͺ2𝑒 βˆ’ [Λ𝐴𝐷+(πΈπ‘π‘βˆ’π‘žπΈ0)]2 4Ξ›π΄π·π‘˜π΅π‘‡ 𝑙𝑆 ( 6 πœ‹ ) 1 3⁄ 𝑑𝑆 βˆ’2 3⁄ ∫ 𝐹(𝐸) ∞ βˆ’βˆž 𝐷𝑠𝑑𝐸 (9) The solving of the integral is given electron concentration 𝑁𝑆 (𝐸) at the surface of semiconductor [22] : ∫ 𝐹(𝐸) ∞ βˆ’βˆž 𝐷𝑠𝑑𝐸 = 𝑁𝑆 (𝐸) (10) The Eq. (9) together Eq.(10) reduced to: 𝐼 = 2πœ‹π‘’ ℏ √ 1 4πœ‹Ξ›π΄π·kBT βŒ©π•„π· 𝐴βŒͺ2𝑒 βˆ’ [Λ𝐴𝐷+(πΈπ‘π‘βˆ’π‘žπΈ0)]2 4Ξ›π΄π·π‘˜π΅π‘‡ 𝑙𝑆 ( 6 πœ‹ ) 1 3⁄ 𝑑𝑆 βˆ’2 3⁄ 𝑁𝑆(𝐸) (11) The transition energy Λ𝐴𝐷 is energy has taken for reorientation the system , it is given by [23]: Λ𝐴𝐷 = 𝑒2 8πœ‹πœ€Β° [ 1 𝐷 [ 1 𝑛2 βˆ’ 1 πœ€ ] βˆ’ 1 2𝑅 [ 𝑛𝑆𝑒 2 βˆ’π‘›2 𝑛𝑆𝑒 2 +𝑛2 1 𝑛2 βˆ’ πœ€π‘†π‘’ 2 βˆ’πœ€2 πœ€π‘†π‘’ 2 +πœ€2 1 πœ€2 ]] (12) where Ρ° is the permittivity, D is radius of the Alq3 molecule, n is refractive index of solvent, Ξ΅ is dielectric constant, R is the distance between the molecule and the semiconductor, nSe is the refractive index of semiconductor and Ξ΅Se is the dielectric constant of the semiconductor. Furthermore, radii can be calculated using spherical approach [24]: 𝐷(π‘š) = ( 3 4πœ‹ π‘š π‘πœŒ ) 1 3 (13) IHJPAS. 36 (4) 2023 175 where m is the molecular weight, N is Avogadro’s number and ρ is the density of the material. The fill factor value (FF) is a ratio of maximum power to the short circuit power based on I-V curves and given by [25]: 𝐹𝐹 = πΌπ‘šπ‘‰π‘š πΌπ‘ π‘π‘‰π‘œπ‘ (14) where Im is maximum current, Vm is maximum voltage, 𝐼𝑠𝑐 is the short-circuit current and Voc is the open-circuit voltage. The efficiency of solar cells is indicated the amount of power converted by the cell compared to the absorbed power ,it's a ratio of the maximum electrical power output (Pm) to the incident power (Pin) [26]: πœ‚ = π‘ƒπ‘š 𝑃𝑖𝑛 = πΌπ‘†π‘π‘‰π‘œπ‘πΉπΉ 𝑃𝑖𝑛 (15) 3. Results and Discussion According to current expression in Eq.(11) based quantum transition model ,the current in both Alq3/ZnO and D149/ZnO devices was strongly affected by transition energy, coupling strength, driving force energy and potential between the dye and semiconductor . Two D149 and Alq3 dyes sensitized contact with ZnO-based solar cells containing 2,2,2-Trifluoroethanol and 1- propanol solvents, respectively were designed. The current I, current density 𝐽, fill factor FF, and efficiency πœ‚ of the two designed DSSCs are evaluated . To calculate the current density depend on several constants such as transition energy ,diving energy atomic density effective length ,coupling constant and potential energy . Firstly ,the transition energy depends on radii of molecules dye and atomic of ZnO ,that’s depend on weight M, and mass density ρ for Alq3 ,D149and ZnO from tables(1) and (2) are needed. The radii of Alq3 ,D149 and ZnO were calculated using the Eq.(13) to give 5.181Γ—10-8 cm , 5.16Γ—10-8 cm and 3.8025Γ—10-8 for Alq3 , D149 and ZnO respectively. Table 1. Several properties of Dyes. Properties D149[27-28] Alq3[29] Molecular weight(g.mol-1) 71.94 459.43 Chemical formula C42H35N3O4S3 C27H18AlN3O3 Mass Density (g.cm-3) 1.47 1.31 LUMO(eV) -5.13 2.85 HOMO(eV) -2.55 5.62 Radius (Γ…) 5.16 5.181 Ionization energy(eV) 5.2 5.8 Melting Point(oC) 284-289 415.4 IHJPAS. 36 (4) 2023 176 Table 2. Essential properties of ZnO. Properties ZnO[30] Molecular weight (g.mol-1) 81.38 Dielectric Constant 8.5 Mass Density (g.cm-3) 5.66 Density of state (Ns.cm-3) 2.22 Γ— 1024 Refractive index 2.0033 Radius (Γ…) 3.8025 Valance band 7.8 Conduction band energy (eV) 4.5 Refractive index 2.0041 Electron concentration (cm-3) 2 Γ— 1020 Electron affinity (eV) 4.3 Transition energy of both Alq3/ZnO and D149 – ZnO devices can be calculated using Eq.(12) with the properties of the two solvents from table (3) and properties of ZnO from table(2).Firstly, inserting the radii of Alq3 dye (5.181Γ—10-8) , D149 dye(5.16Γ—10-8) and ZnO(3.8025Γ—10-8), refractive index and dielectric constant of two solvents and ZnO with Eq. (12) using MATLAB program to calculate the values of Λ𝐴𝐷 . The resulted values are listed in Table (3) . Table 3. Results of transition energy of D149/ZnO and Alq3/ZnO solar cell devices . Table(3) shows that Λ𝐴𝐷 was influenced by the dielectric constant and refractive index of the solvents. It can be seen the Λ𝐴𝐷 increased as the refractive index decreased and decreased as the dielectric constant decreased as results of polarity influence of the solvents. Transition energy Λ𝐴𝐷(𝑒𝑉) for both D149/ZnO and Alq3/ZnO systems reach to 0.65059 eV and 0.623eV with Acetonitrile solvents compare with 0.61559 eV and 0.589 eV with using Ethanol solvents .It indicates that both system with Acetonitrile solvents have bit lower energies to alignment. The current I(A) in D149/ZnO and Alq3/ZnO devices has been calculated using Eq.(11) based on the values of Ξ›AD in Table (3(, the coupling overlap (|𝕄𝐷 𝐴(𝑒𝑉)|2) takes 0.35, 0.45, 0.55, 0.65, 0.75 and 0.85 Γ—10βˆ’11 in unit (eV)2,the ionization energy 5.2 eV and 5.8 eV for D149 and Alq3 dyes, 𝑙𝑠 = 3Ao [32] .The results of the current listed in Table (4) for D149/ZnO and Alq3/ZnO devices. Table 4. Results of current I of charge transfer for Alq3/ZnO and D149 – ZnO devices . Solvent Chemical formula Refractive index[31] Static dielectric constant[31] Transition energy (eV) D149/ZnO Alq3/ZnO Ethanol C2H6O 1.3614 24.5 0.61559 0.589 Acetonitrile C2H3N 1.3441 37.5 0.65059 0.623 Coupling strength |𝕄𝐷 𝐴(𝑒𝑉)|2Γ— 10βˆ’11 |eV|2 Ethanol Solvent Acetonitrile Solvent D149/ ZnO Alq3/ZnO D149/ ZnO Alq3/ZnO 0.35 3.758E-02 0.149E-03 2.668E-02 0.812 E-03 0.45 4.832E-02 0.191E-03 3.430E-02 1.044E-03 IHJPAS. 36 (4) 2023 177 The current density (J) in both devices D149/ZnO and Alq3/ZnO devices calculated by dividing the current in table(4) on the area (0.4cmΓ—0.4cm). The results of the current density list in Table (5) for D149/ZnO and Alq3/ZnO devices. Table 5. Results of current density for D149 – ZnO and Alq3/ZnO solar cell devices . Tables (4) and (5) show that the current and current density related to the solvent media , which increases with decreases of Λ𝐴𝐷 in Table (3) , while reach to large with small transition energy belongs to the device.This means the current and current density in the solar cells influence by polarity through the refractive index and the dielectric constant of the solvent . Polarity was inversely related to the Ξ›AD,its clearly shown in Eq. (12) .Current density increases when Λ𝐴𝐷decreases for system and transition become more probable .The current and current density of electron in D149 /TiO2 is larger than Alq3 /TiO2 and increases with decreases the potential at interface .However ,the current and current density in both Tables (4) and (5) are increased with increased the strength coupling and large for D149/ ZnO with solvent and electrons are transition from donor to the conduction band in acceptor semiconductor.Furthermore ,the open circuit photo-voltage can be estimated from the I-V curves and using to calculate the efficiency and fill factor ,the current density with voltage is tabulated in table(6) for both systems . The J– V characteristics of two system are shown in the Figure (3). Table 6 .The I-V characteristic with voltage (V) of D149 – ZnO and ALq3/ZnO. 0.55 5.906E-02 0.234E-03 4.192E-02 1.276 E-03 0.65 6.980E-02 0.277E-03 4.954E-02 1.508 E-03 0.75 8.054E-02 0.319E-03 5.717E-02 1.740 E-03 0.85 9.128E-02 0.362E-03 6.479E-02 1.972 E-03 Coupling strength |𝕄𝐷 𝐴(𝑒𝑉)|2Γ— 10βˆ’11 |eV|2 Ethanol Solvent Acetonitrile Solvent D149/ ZnO Alq3/ZnO D149/ ZnO Alq3/ZnO 0.35 2.349E-01 0.932E-03 1.667E-01 5.07 E-03 0.45 3.020E-01 1.199 E-03 2.143E-01 6.525 E-03 0.55 3.691E-01 1.465 E-03 2.620E-01 7.981 E-03 0.65 4.362E-01 1.732 E-03 3.096E-01 9.43 E-03 0.75 5.033E-01 1.998E-03 3.573E-01 10.881E-03 0.85 5.705E-01 2.265E-03 4.049E-01 12.331E-03 Current density (π‘šπ΄. π‘π‘šβˆ’2) of D149 - ZnO Current density)Β΅A/cm2) of ALq3/ZnO Voltage (V) Ethanol Acetonitrile Ethanol Acetonitrile 570.516 404.974 2265.60 12331.00 0.1 503.397 357.330 1998.70 10881.00 0.2 436.277 309.686 1732.50 9431.00 0.3 369.157 262.042 1465.60 7981.00 0.4 302.038 214.398 1199.30 6525.00 0.5 IHJPAS. 36 (4) 2023 178 A For ALq3/ZnO B For D149/ZnO Figure (3): The J–V graph of A) Alq3/ZnO and B) D149/ZnO solar cell device. Table(7)Solvent dependent current, voltage, FF and efficiency. The photo-voltage π‘‰π‘œπ‘ and the current density 𝐽𝑆𝑐 in Table (7) use to calculate the fill factor and efficiency using Eq. (14) and (15) ,results listed in table(7). Table(7) indicates the efficiency an increased with acetonitrile comparing with Ethanol is used. As a result, Alq3/ZnO- Acetonitrile has high efficiency comparing with Alq3/ZnO- Ethanol ,while the D149/ ZnO- Ethanol has large efficiency comparing with D149/ ZnO- Acetonitrile ,this refers the Acetonitrile solvent best media strongly with ZnO surface .On the other hand, the lowest efficiency values for Alq3/ZnO- Ethanol because Ethanol has the lowest dielectric constant comparing to the Acetonitrile solvent .According to work by Burak Y. Kadem et al in 2015[33] show efficiency form 1.81 and 3.92 234.918 166.754 932.50 5078.70 0.6 System Photovoltaic parameters of the DSSCs sensitized π‘‰π‘œπ‘(Volt) 𝐽𝑆𝑐( mA/cm2) F.F efficiency D149/ ZnO- Ethanol 0.695 652 0.210 0.997 Alq3/ZnO- Ethanol 0.88 2.5 0.243 0.536 D149/ ZnO- Acetonitrile 0.663 430 0.329 0.938 Alq3/ZnO- Acetonitrile 0.81 13.8 0.232 2.593 IHJPAS. 36 (4) 2023 179 supply. Interestingly, the efficiency estimates in this paper are in good agreement with the acetonitrile solvent [33]. 4. Conclusions A simple model for current density based on quantum transfer theory introduced to the estimated the efficiency for solar cell devices according to density of state, transition energy ,strength coupling ,driving energy and concentration .The short-circuit current estimates depended on the current density and the other electronic coefficient. In general, the higher efficiency of solar cells produced with using Acetonitrile solvent has large transition energy. 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