The Effect of 600 keV Ag Ion Irradiation on the Structural, Optical, and Photovoltaic Properties of MAPbBr3 Films for Perovksite Solar Cell Applications

A competitive new technology, organic metallic halide perovskite solar cells feature a wide working area, low manufacturing costs, a long lifespan, and a significant amount of large efficacy of power conversion (PCE). The spin-coating technique was utilized for the fabrication of pure CH3NH3PbBr3 (MAPbBr3) thin films, and these films are implanted with 600 keV silver (Ag) ions at fluency rate of 6 × 1014 and 4 × 1014 ions/cm2. XRD analysis confirmed the cubic structure of MAPbBr3. A high grain size was observed at the fluency rate of 4 × 1014 ions/cm2. The UV-Vis spectroscopic technique was used to calculate the optical properties such as the bandgap energy (Eg), refractive index (n), extinction coefficients (k), and dielectric constant. A direct Eg of 2.44 eV was measured for the pristine film sample, whereas 2.32 and 2.36 eV were measured for Ag ion-implanted films with a 4 × 1014 and 6 × 1014 ions/cm2 fluence rate, respectively. The solar cells of these films were fabricated. The Jsc was 6.69 mA/cm2, FF was 0.80, Voc was 1.1 V, and the efficiency was 5.87% for the pristine MAPbBr3-based cell. All of these parameters were improved by Ag ion implantation. The maximum values were observed at a fluency rate of 4 × 1014 ions/cm2, where the Voc was 1.13 V, FF was 0.75, Jsc was 8.18 mA/cm2, and the efficiency was 7.01%.


Introduction
In a very short amount of time, perovskites solar cells (PSCs) have attracted the attention of the photovoltaic industry by providing a solar-to-electric power conversion efficiency (PCE) rate greater than 23%. Currently, it is a potential candidate among commercially available solar cells, and nanomaterials play the main role in their efficiency [1][2][3][4][5][6]. Inorganic-organic hybrid perovskites of metals halides have a general formula: ABX 3 , where the A-site is composed of organic cations that usually consist of MA + (CH 3 NH 3 + ), Cs + , and FA + [(NH 2 ) 2 CH] + ions, etc.; the B-site is composed of metallic cations, generally Pb 2+ , as other ions, such as Ge 2+ and Sn 2+ , can easily oxidize to +4 states; the X-sites are composed of halide ions, e.g., Cl − , Br − , or I − [7,8]. The common inorganic-organic perovskites compounds are FAPbI 3 and MAPbI 3 . The MAPbI 3 -based PSCs have many benefits, like high charge extraction rate, and they can absorb a large range of visible light [9]. However, as it becomes crude in humid conditions, it cannot be commercialized on a large scale [10]. Thus, as an alternative to MAPbI 3 , MAPbBr 3 is a promising candidate with a large bandgap of 2.2 eV that provides a high open-circuit voltage (≈1.2−1.5 V) [11,12]. Its excitonic length

Experimental Section
The precursors of MAPbBr 3 perovskite, such as bromides of MA and Pb, were purchased from Sigma-Aldrich, UK. To prepare the 1 M solution of MAPbBr 3 perovskite, dimethyl-sulfoxide and n-dimethyl-formamide were mixed together at a volumetric ratio of 7:3 and left for 12 h. Solution of Perovskite was coated onto FTO glass substrates using the spin-coating technique for 10 seconds at a speed of 4000 rpm. The FTO was bathed with deionized (DI) water first, then with isopropanol and ethanol before deposition. At fluence rates of 4 × 10 14 and 6 × 10 14 ions/cm 2 , two films received 600 keV Ag irradiation. After Ag ion implantation, the films were annealed in a furnace for 10 min at 100 • C.
The structural properties of the films were studied by X-ray diffractogram (D/MAX-2400), Vianna, Austria. UV-Vis spectroscopy (U-4100) was used to measure the optical characteristics, China.
The solar cells of these films were fabricated on TiO 2 /FTO/glass substrates. TiO 2 film was coated onto the FTO/glass substates using a previously published technique [35]. For the preparation of hole transport material (HTM), 36 mL of TBP and 22 mL of a stock solution of 520 mg/mL lithium bis-trifluoromethyl sulfonyl-imide were combined to create solution (A). In solution (A), 72 mg of spiro-OMeTAD was added and stirred, and a solution formed called solution (B). Chlorobenzene (1 mL) was dissolved in solution (B) to prepare a final solution. The volatilized gold layer, with an 80 nm thickness, was coated on the top of the electrode. The gold coating increased the wettability of the photo-active layer, increased the performance time, and established a better contact of device with the external source [36]. The cell's active area measured 0.16 cm 2 .
The efficacy of cells was recorded by a solar simulator (AM 1.5G illumination at 100 mWcm −2 using a source meter from Keithley 2450). The stepwise deposition of different layers is shown in Figure 1. cubic phase of MAPbBr3. This indicated that the cells fabricated with Ag ions would be stable and have a long lifetime. Here, Ag ions affected the photovoltaic characteristics were investigated, and it was observed that the PSC fabricated at 4 × 10 14 ions/cm 2 had a high photovoltaic performance. From the literature survey, it was found that Ag ion implantation in MAPbI3 needed to be addressed.

Experimental Section
The precursors of MAPbBr3 perovskite, such as bromides of MA and Pb, were purchased from Sigma-Aldrich, UK. To prepare the 1 M solution of MAPbBr3 perovskite, dimethyl-sulfoxide and n-dimethyl-formamide were mixed together at a volumetric ratio of 7:3 and left for 12 h. Solution of Perovskite was coated onto FTO glass substrates using the spin-coating technique for 10 seconds at a speed of 4000 rpm. The FTO was bathed with deionized (DI) water first, then with isopropanol and ethanol before deposition. At fluence rates of 4 × 10 14 and 6 × 10 14 ions/cm 2 , two films received 600 keV Ag irradiation. After Ag ion implantation, the films were annealed in a furnace for 10 min at 100 °C.
The structural properties of the films were studied by X-ray diffractogram (D/MAX-2400), Vianna, Austria. UV-Vis spectroscopy (U-4100) was used to measure the optical characteristics, China.
The solar cells of these films were fabricated on TiO2/FTO/glass substrates. TiO2 film was coated onto the FTO/glass substates using a previously published technique [35]. For the preparation of hole transport material (HTM), 36 mL of TBP and 22 mL of a stock solution of 520 mg/mL lithium bis-trifluoromethyl sulfonyl-imide were combined to create solution (A). In solution (A), 72 mg of spiro-OMeTAD was added and stirred, and a solution formed called solution (B). Chlorobenzene (1 mL) was dissolved in solution (B) to prepare a final solution. The volatilized gold layer, with an 80 nm thickness, was coated on the top of the electrode. The gold coating increased the wettability of the photo-active layer, increased the performance time, and established a better contact of device with the external source [36]. The cell's active area measured 0.16 cm 2 .
The efficacy of cells was recorded by a solar simulator (AM 1.5G illumination at 100 mWcm −2 using a source meter from Keithley 2450). The stepwise deposition of different layers is shown in Figure 1.

XRD Analysis
An XRD graph of the pristine and Ag-implanted MAPbBr 3 films is shown in Figure 2  320). All peaks were shifted toward lower 2θ angles, and no additional peaks related to AgBr, AgPb, etc., were observed, which attests to the stability of the phase and the correct replacement of Ag ions in the MAPbBr3 host [38]. Additionally, it indicated the absence of stresses in the unit cell [39]. 45.54°, having a plane orientation (100), (111), (222), and (320), respectively. All peaks confirmed the cubic perovskite structure of MAPbBr3, which has also been reported in the literature [37]. For the Ag-implanted MAPbBr3 at the fluency rate of 14 4 10 × ions/cm 2 , the four peaks were observed at 2θ values of 14.59° (100), 28.77° (111), 42.16° (222), and 45.48° (320). Here, the peaks shifted, and the intensity of the peaks increased, which indicates that the crystallinity of the film increased. At the fluency rate of 14 6 10 × Ag ions/cm 2 , the four peaks were located at 2θ values of 14.50° (100), 28.72° (111), 42.20° (222), and 45.44° (320). All peaks were shifted toward lower 2θ angles, and no additional peaks related to AgBr, AgPb, etc., were observed, which attests to the stability of the phase and the correct replacement of Ag ions in the MAPbBr3 host [38]. Additionally, it indicated the absence of stresses in the unit cell [39]. δ and D of highly intense (100) peaks were measured using the following formulas [40,41]: Here, λ is the wavelength; β and θ are the FWHM and Brag's angle, respectively [42].
For pure MAPbBr3 films, D was 19 nm and δ was 15 2 3.52 10 m − × as shown in

Grain Size (D) and Dislocation Line Density (δ)
δ and D of highly intense (100) peaks were measured using the following formulas [40,41]: Here, λ is the wavelength; β and θ are the FWHM and Brag's angle, respectively [42]. For pure MAPbBr 3 films, D was 19 nm and δ was 3.52 × 10 15 m −2 as shown in Figure 3. For the Ag-implanted MAPbBr 3 , D and δ at the fluency rate of 4 × 10 14 ions/cm 2 were 26 nm and 3.44 × 10 15 m −2 , respectively. The high value of the grain size refers to the proper substitution of Ag ions in the ABX 3 structure due to the fact that the crystallinity of the film was high, as a high peak intensity was observed at this fluency rate in the film. The low value of δ indicated that the scattering of electrons was low due to the small grain boundaries. At a rate of 6 × 10 14 ions/cm 2 , D and δ were 22 nm and 4.42 × 10 15 m −2 , respectively. The high value of Ag ions indicates that they did not occupy the vacant Pb sites, as they remained on the surface of MAPbBr 3 due to the fact of small vacant sites. Therefore, D was reduced because of bonding between Ag ions and the inner atoms of MAPbBr 3 [43]. These results match the previously published literature, where D decreased with a high amount of doping of divalent/trivalent ions in a MAPbBr 3 structure [44,45]. The high concentration of Ag ions forms a network with MAPbBr 3 , which will increase and decrease the recombination rate [46]. and 4.42 10 m × , respectively. The high value of Ag ions indicates that they did not occupy the vacant Pb sites, as they remained on the surface of MAPbBr3 due to the fact of small vacant sites. Therefore, D was reduced because of bonding between Ag ions and the inner atoms of MAPbBr3 [43]. These results match the previously published literature, where D decreased with a high amount of doping of divalent/trivalent ions in a MAPbBr3 structure [44,45]. The high concentration of Ag ions forms a network with MAPbBr3, which will increase and decrease the recombination rate [46].  Figure 4 shows the d-spacing of the pure and Ag ion-implanted MAPbBr3 films. The d-spacing was measured by Bragg's Law [5,30]. where n is order of diffraction.  Figure 4 shows the d-spacing of the pure and Ag ion-implanted MAPbBr 3 films. The d-spacing was measured by Bragg's Law [5,30].

d-Spacing
where n is order of diffraction.  The values of d-spacing for the (100) peak of the pristine and the 14 4 10 × ions/cm 2 and 6 × 10 ions/cm 2 Ag ion-implanted MAPbBr3 films were 6.11 Å, 6.1 Å, and 6.04 Å, respectively. The measured values showed a cubic crystal behavior according to file number PDF#21-1272 [5,30]. A slight decrease in the d-spacing values was observed by ion implantation. The decrease in d-spacing was due to the fact that Ag has a smaller ionic The values of d-spacing for the (100) peak of the pristine and the 4 × 10 14 ions/cm 2 and 6 × 10 14 ions/cm 2 Ag ion-implanted MAPbBr 3 films were 6.11 Å, 6.1 Å, and 6.04 Å, respectively. The measured values showed a cubic crystal behavior according to file number PDF#21-1272 [5,30]. A slight decrease in the d-spacing values was observed by ion implantation. The decrease in d-spacing was due to the fact that Ag has a smaller ionic size. The slightly low value of the d-spacing shows that strong bonding was present between atoms and atoms and between planes and planes in the film's structure [31]. This will benefit the enhancement of the stability of the structure.

Lattice Parameters and Volume
The lattice parameters and volume of a unit cell of pure and Ag-irradiated MAPbBr 3 were calculated using Equations (5) and (6) and are shown in Figure 5. , respectively. A decreasing trend in a and V was observed as shown in Figure 5 and Table 1. As Ag has a smaller radius than Pb, the volume of the unit cell therefore decreased. This was also confirmed from the XRD graph, where the peaks were shifted toward a small angle. Due to the fact of this decrease in volume, atoms become too close to each other, and the binding energy and number of electrons per unit volume increase. These large electrons will increase the electrical properties of the film, resulting in the improvement of the efficiency of the films.  Here, hkl is the Miller indices of the most intense peak (i.e., (100)); V and a are the volume and lattice parameters of the unit cell.
The a and V of pure and 4 × 10 14 ions/cm 2 and 6 × 10 14 ions/cm 2 Ag ion-implanted MAPbBr 3 films were 6.11 × 10 −10 and 2.28 × 10 −28 m 3 , 6.10 × 10 −10 and 2.20 × 10 −28 m 3 , and 6.04 × 10 −10 and 2.27 × 10 −28 m 3 , respectively. A decreasing trend in a and V was observed as shown in Figure 5 and Table 1. As Ag has a smaller radius than Pb, the volume of the unit cell therefore decreased. This was also confirmed from the XRD graph, where the peaks were shifted toward a small angle. Due to the fact of this decrease in volume, atoms become too close to each other, and the binding energy and number of electrons per unit volume increase. These large electrons will increase the electrical properties of the film, resulting in the improvement of the efficiency of the films.

Optical Properties
For solar cells, a material's optical characteristics are crucial. This section explains optical parameters including refractive index, band gap energy, optical dielectrical constants, and extinction coefficient.

Energy Band Gap
The response of the material under the irradiation of light highly relies on its band gap and the energy of the incident photon. The photons energize the electrons with energy (hν) more than bandgap energy (E g ) upon impact with the material; then, they absorb this energy due to the interband transition of the electrons. This phenomenon helps in analyzing the absorption edges of the material. To determine the bandgap of the material, these absorption edges were used with Tauc's formula [47,48].
Here, α is coefficient of absorption; B is a constant; hν is the energy of the incident photon; E g is the bandgap of the material [49]. The value of E g was measured from Figure 6 by extrapolating it at zero-ordinate. The E g of pure MAPbBr 3 was calculated as 2.44 eV. When Ag was irradiated onto MAPbBr 3 film at rate of 4 × 10 14 ions/cm 2 , its E g decreased to 2.32 eV. The exchange interaction of sp-d between the localized "d" electrons of the transitions metals ions at the cation site and band electrons was used to explain this decrease in E g [50]. The 5s and p orbitals of Ag and halogen respectively are contributed to the valence band's upper edge, and only the 5p orbital of Ag do so for the conduction band's lower edge. The level of energy of the 6p empty orbitals of Pb 2+ is lower than the 5p empty orbitals of Ag 2+ when the affinity of electrons and redox potential of Pb 2+ are taking into account [51]. As a result, the conduction band's bottom shifts downward with rising Ag content. This decrease in E g is because of an increase in the 'D' of the film [52]. At a fluency rate 6 × 10 14 ions/cm 2 , E g was increased to 2.36 eV. This increase in E g was due to the decrease in the grain size of the film. An E g of 2.32 eV is most suitable for harvesting energy in the visible range [53]. The same results were also reported by Albert et al., where they doped the polycrystalline MAPbBr 3 film with N 2 and observed a low recombination rate [54].
into account [51]. As a result, the conduction band's bottom shifts downward with rising Ag content. This decrease in Eg is because of an increase in the 'D' of the film [52]. At a fluency rate 6 × 10 14 ions/cm 2 , Eg was increased to 2.36 eV. This increase in Eg was due to the decrease in the grain size of the film. An Eg of 2.32 eV is most suitable for harvesting energy in the visible range [53]. The same results were also reported by Albert et al., where they doped the polycrystalline MAPbBr3 film with N2 and observed a low recombination rate [54].

Extinction Coefficient (k) and Refractive Index (n)
The n is a very important factor in photo-electronic and solar cell devices, because it analyzes the opto-electrical characteristics of the material. The refractive index can be measured by Lorentz classical theory [45,55].

Extinction Coefficient (k) and Refractive Index (n)
The n is a very important factor in photo-electronic and solar cell devices, because it analyzes the opto-electrical characteristics of the material. The refractive index can be measured by Lorentz classical theory [45,55].
Here, the constants are B and A having values are 3.4 eV and 13.6 eV, respectively. The measured refractive indexes for pure and 4 × 10 14 and 6 × 10 14 ions/cm 2 Ag ionimplanted MAPbBr 3 were 2.46, 2.60, and 2.56, respectively. The film implanted with at 4 × 10 14 ions/cm 2 had a high refractive index, which is suggested good for the appications of solar cell. The high value of n increases the polarizability of the film [56,57]. Due to the high value of n, more light will scatter, leading to more energetic electrons being emitted. These high numbers of electrons will increase the current density of solar cells, which will cause the efficiency of the cell to increase.
The extinction coefficient k is calculated by [58]: Here, γ = −0.32 is the constant, and "∆χ * " is the electronegativity [59]. The measured k for pure and 4 × 10 14 and 6 × 10 14 ions/cm 2 Ag ion-implanted MAPbBr 3 were 2.16, 2.23, and 2.21, respectively, as shown in Figure 7. When Ag ions were implanted, k increased, as it has a direct relation with n. The high value of k was observed at a fluency rate of 4 × 10 14 ions/cm −2 .
Here, γ = −0.32 is the constant, and "∆χ * " is the electronegativity [59]. The measured k for pure and 14 4 10 × and 14 6 10 × ions/cm 2 Ag ion-implanted MAPbBr3 were 2.16, 2.23, and 2.21, respectively, as shown in Figure 7. When Ag ions were implanted, k increased, as it has a direct relation with n. The high value of k was observed at a fluency rate of 4 × 10 14 ions/cm −2 .

Dielectric Constants (εr, εi)
The optical constants of dielectric are related to a material's inherent qualities. The dielectric constants are made up of real and imaginary elements. The real components refer to the light's speed in the materials. The imaginary component concerns the dielectric material, which, as a result of dipole motion, absorbs energy from an electric field. The ratio between εr and εi determines the loss factor [60]. Additionally connected to dielectric constants are k and n. The relationship between polarizability and dielectric constant for

Dielectric Constants (ε r , ε i )
The optical constants of dielectric are related to a material's inherent qualities. The dielectric constants are made up of real and imaginary elements. The real components refer to the light's speed in the materials. The imaginary component concerns the dielectric material, which, as a result of dipole motion, absorbs energy from an electric field. The ratio between ε r and ε i determines the loss factor [60]. Additionally connected to dielectric constants are k and n. The relationship between polarizability and dielectric constant for every solid substance is proportional. The optical bandgap and position density are connected. Therefore, It is crucial to determine the dielectric constants precisely [61].
The ε r and ε i are determined using the given relations [62]: Photon energy is necessary for both ε r and ε i . The ε r of the pure and 4 × 10 14 ions/cm 2 Ag ion-implanted MAPbBr 3 films had higher values, and the value for the 6 × 10 14 ions/cm 2 Ag ion-implanted MAPbBr 3 film decreased. The ε i allows for a comparison between the same refractive index values, as is shown in Table 2. ε r and ε i are at the maximum at a 4 × 10 14 ions/cm 2 Ag ion concentration.

J-V Measurement
The conduction band (CB) and valence band (VB) edges for the construction of PSCs are very important. The CB edge of the perovskite film should be greater than the CB of the electron transport layer, and the VB edge of perovskite film should be greater than the VB of the hole-transport layer. The method for calculating the CB and VB edges of MAPbBr 3 film is explained below [63]. The formula for MAPbBr 3 is CH 3 NH 3 PbBr 3 , which includes one carbon, six hydrogen, one nitrogen, one lead, and three bromide atoms.
Electron affinity for C = E EA = 1. 26 These values matched well with the available literature [64]. Figure 8 shows the energy band structure diagram of a Ag/Spiro-OMeTAD/MAPbBr 3 / TiO 2 /FTO/glass solar cell. Light at a suitable frequency falls on the MAPbBr 3 , and then electron-hole pairs are generated. The electron accelerates toward the CB of TiO 2 , which is close to the CB of MAPbBr 3 , and the hole moves toward the VB of spiro-OMeTAD, the VB level of which is just above the VB level of MAPbBr 3 . In this way, the electron moves towards the circuit causing the current to flow through the solar cell.   Figure 9 shows the J-V curve of pure and Ag-irradiated MAPbBr3 solar cells. These curves were used to calculate the photovoltaic parameters of the pure and Ag-irradiated MAPbBr3-based solar cells such as the short circuit current density (Jsc), conversion efficiency (η), open-circuit voltage (Voc), and fill factor (FF), as summarized in Table 3. To determine the power conversion efficiency, the equation (12) was used [65].   Figure 9 shows the J-V curve of pure and Ag-irradiated MAPbBr 3 solar cells. These curves were used to calculate the photovoltaic parameters of the pure and Ag-irradiated MAPbBr 3 -based solar cells such as the short circuit current density (J sc ), conversion efficiency (η), open-circuit voltage (V oc ), and fill factor (FF), as summarized in Table 3. To determine the power conversion efficiency, the Equation (12) was used [65].
Here, P in stands for the input power of the incident light. The FF is computed as follows [66]: Here, I max and V max are the maximum current and maximum voltage, respectively. For the pure MAPbBr 3 -based solar cells, the calculated J sc , V oc , FF, and efficiency were measured as 6.69 mAcm −2 , 1.1 V, 0.79, and 5.86%, respectively.
When silver (Ag) ions were irradiated on the film of a sample MAPbBr 3 at a fluency rate of 4 × 10 14 , the photovoltaic parameters (i.e., J sc , V oc , and FF) improved and the efficiency increased from 5.86 to 7.01%. The improvement in photovoltaic parameters was caused by the irradiation of Ag ions, because they not only facilitate the growth of grains but also reduce the size of grain boundaries [48,67]. The grain boundary resistance is decreased by enhancing the charge carriers, which improves the J sc [68,69]. In addition, Ag is a noble metal, and it increased the number of free electrons in the MAPbBr 3 films, causing Jsc and FF to increase [70]. A high FF means that the recombination rate was reduced; therefore, the efficiency of the solar cell increases. Ag has free electrons, and a small amount of energy will cause the loss of these electrons from Ag and improve the concentration of free electrons in MAPbBr 3 ; therefore, the J sc is improved [71].
Additionally, it is observed from Figure 8 that the CB edge of MAPbBr 3 came close to the CB of TiO 2 by Ag ion implantation. Therefore, the electrons easily transferred from the CB of MAPbBr 3 to the CB of TiO 2 ; hence, J sc increased leading to the increase the cell's efficacy.
At a high flounce rate of 6 × 10 14 ions/cm 2 , the efficiency of the cell decreased from 7.01% to 6.21% by decreasing J sc and FF. The high value of Ag ions could not fit in the structure of MAPbBr 3 as explained by XRD. The grain size decreased leading to the increase in the resistivity. Therefore, the recombination rate increased, which reduced the injection efficiency of the electrons from the CB of MAPbBr 3 to the CB of TiO 2 ; hence, J sc was reduced