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			<titleStmt><title level='a'>Deterministic Synthesis of a Two-Dimensional MAPbI &lt;sub&gt;3&lt;/sub&gt; Nanosheet and Twisted Structure with Moiré Superlattice</title></titleStmt>
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				<publisher>American Chemical Society</publisher>
				<date>10/09/2024</date>
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				<bibl> 
					<idno type="par_id">10598351</idno>
					<idno type="doi">10.1021/jacs.4c10298</idno>
					<title level='j'>Journal of the American Chemical Society</title>
<idno>0002-7863</idno>
<biblScope unit="volume">146</biblScope>
<biblScope unit="issue">40</biblScope>					

					<author>Shuchen Zhang</author><author>Ke Ma</author><author>Biao Yuan</author><author>Jiaqi Yang</author><author>Yuan Lu</author><author>Dewei Sun</author><author>Jee Yung Park</author><author>Zitang Wei</author><author>Arun Mannodi-Kanakkithodi</author><author>Yi Yu</author><author>Libai Huang</author><author>Timothy J Pennycook</author><author>Letian Dou</author>
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			<abstract><ab><![CDATA[The synthesis of extremely thin 2D halide perovskites and the exploration of their interlayer interactions have garnered significant attention in current research. A recent advancement we have made involves the development of a successful technique for generating ultrathin MAPbI 3 nanosheets with controlled thickness and an exposed intrinsic surface. This innovative method relies on utilizing the Ruddlesden-Popper (RP) phase perovskite (BA 2 MA n-1 Pb n I 3n+1 ) as a template. However, the precise reaction mechanism remains incompletely understood. In this work, we systematically examined the dynamic evolution of the phase conversion process, with a specific focus on the influence of inorganic slab (composed of [PbI 6 ] 4-octahedrons) numbers on regulating the thickness and quality of the resulting MAPbI 3 nanosheets. Additionally, the atomic structure is directly visualized using the transmission electron microscopy (TEM) method, confirming its exceptional quality. To illustrate interfacial interactions in ultrathin structures, artificial moirésuperlattices are constructed through a physical transfer approach, revealing multiple localized high-symmetry stacks within a distinctive square moirépattern. These findings establish a novel framework for investigating the physics of interfacial interactions in ionic semiconducting crystals.]]></ab></abstract>
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<div xmlns="http://www.tei-c.org/ns/1.0"><head n="1.">INTRODUCTION</head><p>Organic-inorganic hybrid halide perovskites with a typical three-dimensional (3D) framework stand out in photovoltaic research due to their remarkable electrical and optical properties, <ref type="bibr">[1]</ref><ref type="bibr">[2]</ref><ref type="bibr">[3]</ref><ref type="bibr">[4]</ref> including high carrier mobilities, long carrier diffusion lengths, high absorption coefficients, and tunable optical bandgaps. <ref type="bibr">[5]</ref><ref type="bibr">[6]</ref><ref type="bibr">[7]</ref><ref type="bibr">[8]</ref> Unlike conventional III-V semiconducting materials, one of the most attractive features of perovskites is their easy bandgap engineering, which can be achieved by controlling stoichiometry and/or dimensionality. <ref type="bibr">9,</ref><ref type="bibr">10</ref> The strong correlation between structures and optical properties enables the rapid development of preparation methods and synthetic conditions for exploring various dimensionalities of perovskites. <ref type="bibr">[11]</ref><ref type="bibr">[12]</ref><ref type="bibr">[13]</ref> In recent years, significant advancements have been made in the development of low-dimensional (LD) lead halide perovskites, ranging from zero-dimensional quantum dots and nanoparticles <ref type="bibr">14,</ref><ref type="bibr">15</ref> to one-dimensional nanowires and nanorods, <ref type="bibr">16,</ref><ref type="bibr">17</ref> and two-dimensional nanosheets and nanoplates. <ref type="bibr">18,</ref><ref type="bibr">19</ref> The distinct characteristics resulting from reduced dimensions, such as quantum confinement effects, high photoluminescence quantum yield, and tunable band structures, hold substantial potential for fundamental research in physics and their incorporation into contemporary highperformance light-emitting devices. <ref type="bibr">20,</ref><ref type="bibr">21</ref> Notably, the attention has been drawn toward layered two-dimensional (2D) perovskites, composed of nanometer-thick layers of hybrid halide perovskite separated by organic cation-based spacing layers, due to their improved stability and structural adjustability. <ref type="bibr">22,</ref><ref type="bibr">23</ref> Among all kinds of 2D perovskites, a prominent example is the Ruddlesden-Popper (RP) perovskites with the chemical formula L 2 A n-1 B n X 3n+1 , where L represents monovalent bulky ligands with alkyl or aromatic components, A denotes a small organic cation, B signifies a metal cation, X stands for a halide, and n indicates the number of inorganic slabs in each layer. Particularly compared with Dion Jacobson (DJ) phase perovskite, the thickness of RP phase perovskites can be precisely regulated through additional mechanical exfoliation, enabling the acquisition of very thin layers such as (BA) 2 (MA) n-1 Pb n I 3n+1 with n ranging from 1 to 4 from the corresponding bulk single crystals. <ref type="bibr">24</ref> Extensive investigations have been conducted on the light-matter interaction in uniform 2D perovskite crystals, yielding significant advance-ments. <ref type="bibr">25</ref> Nevertheless, a comprehensive understanding of the photophysical characteristics at the interface of 2D perovskite vertical junctions is hindered by the absence of direct interfacial electron coupling, which is impeded by the presence of bulky organic ligands. <ref type="bibr">26</ref> Hence, to build the effective heterostructure, there is a requirement to produce extremely thin LD perovskite materials with an exposed intrinsic inorganic surface, a task that is challenging due to the fragile and ionic nature of the structure. By utilizing methylammonium iodide (MAI) or formamidinium iodide (FAI) vapor, lead iodide (PbI 2 ) nanoplates deposited on substrates have been successfully transformed into MAPbI 3 /FAPbI 3 perovskites with high crystalline quality, enabling thickness variations from a few to hundreds of nanometers. <ref type="bibr">[27]</ref><ref type="bibr">[28]</ref><ref type="bibr">[29]</ref><ref type="bibr">[30]</ref> However, enhancing the crystal quality of perovskites remains imperative, primarily owing to the elevated temperature necessary for the conversion process. Additionally, the operability within heterostructure fabrication is further hindered by the influence of polar solvents involved in the transfer process. Our recent studies have indicated that 2D RP phase perovskites can act as templates for producing ultrathin MAPbI 3 nanosheets, which can serve as fundamental components for creating vertical junctions. <ref type="bibr">31</ref> Nevertheless, the exact conversion mechanism remains incompletely understood. Herein, this research would systematically investigate the dynamic conversion process in the reaction solution, including the transition from the 2D RP phase to the 3D phase, explaining the substitution of small cations (MA + ) with bulky ligands (L + ), and the fusion of adjacent inorganic layers. Notably, the thickness of the resulting MAPbI 3 can be controlled by either the thickness (or layer numbers) or the nanometer values of RP phase perovskites. It was observed that enhancing the n values of 2D perovskites can improve the crystal quality of ultrathin MAPbI 3 , with the high quality being validated through atomic imaging of inorganic layers and organic cations. In addition, by successfully synthesizing ultrathin MAPbI 3 perovskite on diverse substrates, an artificial twisted MAPbI 3 moire&#769;superlattice was constructed to showcase a vertical junction. High-resolution transmission electron microscopy (HRTEM) distinctly exhibited squared moire&#769;patterns with localized high-symmetry stacking. Through integration with first-principles calculations, it was disclosed that local interlayer coupling can be intensified through moire&#769;potential modulation, resulting in distinctive properties that exhibit promise for future research pursuits.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="2.">RESULTS AND DISCUSSION</head></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="2.1.">Equilibrium Solution Design to Realize Ultrathin</head><p>MAPbI 3 Perovskite Nanosheets. To create MAPbI 3 perovskite microplates/film, a standard procedure involves utilizing a solution of dissolved MAI in isopropyl alcohol (IPA) to interact with a solid-state PbI 2 film. <ref type="bibr">32,</ref><ref type="bibr">33</ref> Given the limited solubility of PbI 2 in IPA, this synthesis reaction for perovskites is categorized as a solid-liquid reaction, resulting in the formation of a minor quantity of octahedral [PbI 6 ] 4-in the solution at equilibrium (Figure <ref type="figure">S1</ref>). Upon reaching equilibrium (Formula 1), the concentration of [PbI 6 ] 4-can be approximated by c([PbI 6 ] 4-)&#65533;K 1 c(I -) <ref type="bibr">4</ref> , where K 1 represents the equilibrium constant of the reaction and is of a notably low value. Obviously, the concentration of [PbI 6 ] 4-is significantly influenced by the iodide anion concentration (or MAI concentration). Subsequently, if this "equilibrium solution" comprising MA + , I -, and [PbI 6 ] 4-is employed to process a thin RP phase perovskite crystal, according to our previous results, <ref type="bibr">31</ref> it will directly transform the RP perovskite (2D phase) into a MAPbI 3 perovskite (3D phase) by eliminating the ligand cation (L + ) and releasing excess I -from the RP perovskite crystal matrix (Formula 2). It is evident that while MA + is advantageous, I -is not conducive to this conversion reaction. Hence, it is postulated that by converting I -into [PbI 6 ] 4-, the equilibrium solution contains a higher proportion of MA + compared to I -, thereby rendering it favorable for the reaction exhibited in Formula 2. Furthermore, if the in situ formation of the MAPbI 3 perovskite sheet with a 3D phase is exceedingly thin, it will be susceptible to dissolution with the assistance of I -to generate [PbI 6 ] 4-(Formula 3). Building upon this analysis, it is further conjectured that the presence of [PbI 6 ] 4-in the equilibrium solution may aid in impeding the dissolution of MAPbI 3 , consequently resulting in the production of superior quality thin MAPbI 3 crystals. To illustrate this phenomenon, two types of IPA solutions, one containing solely MAI and the other equilibrated by MAI/PbI 2 with the proper ratio, were employed to treat RP phase halide perovskites, as depicted in Figure <ref type="figure">1a</ref>. It was evident that significant dissolution of RP phase perovskite occurred in the pure-MAI solution after 3 min (Figure <ref type="figure">1a</ref>,<ref type="figure">b</ref>), whereas the perovskite shape remained intact in the MAI/PbI 2 equilibrium solution even after 15 min (Figure <ref type="figure">1c</ref>,<ref type="figure">d</ref>). Through complementary photoluminescence (PL) emission analysis (Figure <ref type="figure">S2</ref>), it was observed that the distinctive characteristics of RP phase perovskite vanished following treatment with the equilibrium solution, with the emergence of emission traits specific to MAPbI 3 perovskites. This suggests the complete substitution of bulky ligands with MA + cations within the lattice, which is in agreement with the aforementioned assumption. Consequently, a viable strategy for producing ultrathin MAPbI 3 perovskites through equilibrium solution conversion is reasonably proposed, utilizing 2D or quasi-2D RP phase perovskites as a template.</p><p>+ [ ] = F K c c PbI (s) 4I PbI (PbI )/ (I ) 2 6 4 1 6 4 4</p><p>(1)</p><p>(2)</p><p>3 6 4 3 6 4 3</p><p>(3)</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="2.2.">Dynamic Conversion Mechanism from 2D</head><p>Perovskite to 3D Perovskite. To gain a deeper comprehension of the conversion process, a potential dynamic conversion mechanism is further proposed, as depicted in Figure <ref type="figure">2a</ref>. Once treated with the equilibrium solution, the conversion process involves the initial release of bulky ligands located on the upper surface and in close proximity to the edge of RP phase perovskites due to concentration-induced diffusion. This release of bulky ligands leads to the formation of interlayer channels between the inorganic layers composed of [PbI 6 ] 4- octahedrons, facilitating the smooth diffusion of MA + cations to replenish the vacancies within the lattice. Subsequently, as the bulky ligands are substituted by MA + cations, the inorganic framework with an unaltered surface is exposed, showcasing the lattice structure as the thinned-MAPbI 3 . Moreover, owing to the short distance between the interlayers, the adjacent inorganic layers bond together by sharing an iodide ion (I -) between two [PbI 6 ] 4-octahedra and eliminating excess iodide ions. Upon completion of bonding between the layers, a MAPbI 3 structure with an increased thickness is formed. The final thickness of synthesized MAPbI 3 is solely dictated by the quantity of inorganic layers present in the original RP phase perovskite sample. Furthermore, without causing harm to the inorganic frameworks throughout the entire conversion process, the synthesized MAPbI 3 also mirrors the same morphology as that of the original RP phase perovskite.</p><p>To rigorously assess the proposed dynamic mechanism, a quasi-2D RP phase perovskite nanocrystal, (BA) 2 MA 2 Pb 3 I 10 , was synthesized utilizing the solution-air interface method <ref type="bibr">34</ref> and subsequently transferred onto a SiO 2 (300 nm)/Si substrate to monitor its temporal evolution (Figure <ref type="figure">2b-d</ref>). The initial state of the sample, as shown in Figure <ref type="figure">2b</ref>, exhibited a uniform red emission, as evidenced by the corresponding photoluminescence (PL) spectra with an emission wavelength of approximately 610 nm (Figure <ref type="figure">2e</ref>), characteristic of quasi-2D RP phase perovskite with n = 3. Upon treatment with the equilibrium solution, a noticeable darkening of the emitting color, particularly pronounced at the edges, was observed (Figure <ref type="figure">2c</ref>). Analysis of the PL spectra (Figure <ref type="figure">2e</ref>) revealed a remarkable phenomenon where two new emission peaks, situated at approximately 650 and 740 nm, replaced the original emission peak (&#8764;610 nm) from the quasi-2D RP phase perovskite. Subsequent detailed characterizations conducted at various positions on the sample (Figure <ref type="figure">S3</ref>) elucidated that the emission peak at &#8764;650 nm predominantly emanated from the central portion of the perovskite crystal, while the emission at &#8764;740 nm originated from the edge. The former emission can be attributed to the reduction of lattice distortion in the quasi-2D RP phase perovskite structure due to the replacement of bulky ligands (BA + ), despite the unchanged number of inorganic layers, a phenomenon not previously reported. <ref type="bibr">35</ref> The latter emission arises from the incorporation of two adjacent inorganic frameworks devoid of ligands at the edge, leading to their convergence into a thicker 3D structure. This emission could be further enhanced by incorporating more inorganic frameworks with an increased reaction time.</p><p>As the reaction progressed, the original red emission color with a shorter wavelength completely disappeared, as evidenced by the PL image in Figure <ref type="figure">2d</ref>, indicating the completion of the conversion from quasi-2D perovskite to a 3D structure within 15 min. At this juncture, only one peak, located at approximately 755 nm, was discernible in the PL spectrum, exhibiting a smaller redshift (&#8764;15 nm) compared to the peak (&#8764;740 nm) observed in the early stages of the reaction (Figure <ref type="figure">2e</ref>). This shift is attributed to the further increase in thickness resulting from the incorporation of all of the inorganic lead iodide layers in the 2D perovskite. This evolution was supported by the X-ray diffraction (XRD) results shown in Figure <ref type="figure">2f</ref>, and specifically, the XRD signals exclusively exhibited the characteristic peaks originating from quasi-2D perovskite (n = 3) precursors at the initial reaction stage, consistent with reported findings. <ref type="bibr">24</ref> As the reaction progressed, a discernible trend emerged wherein the peaks of quasi-2D RP phase perovskites, particularly those at small angles, gradually diminished, ultimately yielding two characteristic peaks at 2&#952; = 14.15 and 28.40&#176;. These peaks are ascribed to the orderly vertical stacking of octahedral [PbI 6 ] 4-, confirming the formation of a 3D structure in the final converted products. Collectively, all results furnish unequivocal evidence of the successful conversion of 2D or quasi-2D perovskites to MAPbI 3 with a 3D structure.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="2.3.">Thickness Controlling Strategy and Structure Properties.</head><p>It is noteworthy that all the 2D RP phase perovskites with varying n values (n = 1, 2, and 3) can serve as templates for achieving the MAPbI 3 perovskite structure using the equilibrium solution conversion method. This presents a viable approach for regulating the thickness of MAPbI 3 by adjusting the nanometer values and layer numbers of RP phase perovskites. For instance, as illustrated in Figure <ref type="figure">3a</ref>-f, MAPbI 3 perovskites with a comparable thickness of approximately 5 nm, as determined by atomic force microscopy (AFM), were successfully obtained utilizing RP phase perovskites with n = 1 (8 layers), n = 2 (4 layers), and n = 3 (3 layers), respectively. Notably, the most significant variation in thickness between pre-and postconversion was observed in the RP phase perovskites with n = 1, likely attributed to the presence of bulky ligands within the lattice of RP phase perovskites, particularly pronounced in n = 1 perovskite. Intriguingly, further analysis (Figure <ref type="figure">3g</ref>) of the thickness alterations of RP phase perovskites pre-and postconversion suggests a consistent ratio for different perovskite samples with the same RP phase, namely, 57% for n = 1, 41% for n = 2, and 29% for n = 3. These consistent ratios closely align with the occupancy of bulky ligands in the respective original RP phase perovskites with different n values (refer to Table <ref type="table">S1</ref>), indicating no loss of the inorganic layers during the conversion process. Moreover, additional assessments of steady-state PL in Figure <ref type="figure">3h</ref> also confirm the successful conversion, albeit revealing slight discrepancies in the emission peak positions, ranging from 755 nm for n = 1-745 nm for n = 3. Given the diminished confinement effect with increased thickness, the minor variation in thickness between the two samples acquired from RP perovskites with different n values is not the primary cause of this discrepancy in emission peak. Instead, defects are commonly considered to be the pivotal factor influencing the optical characteristics of perovskites by trapping excitons/ carriers. Hence, this discrepancy can be attributed to the structural defect, including vacancy, interfacial merging, and lattice stretching. Furthermore, the broadened full width at half-maximum (fwhm) of the peak at the 755 nm wavelength also supports this explanation.</p><p>The analysis presented above suggests that the MAPbI 3 sample containing n = 1 RP phase perovskite exhibits more defect species, as illustrated in Figure <ref type="figure">3h</ref>. It is indicated that the defect species of the as-synthesized MAPbI 3 perovskites could be reduced by increasing the n values of RP phase perovskites. To support this interpretation, the charge carrier dynamics of three distinct MAPbI 3 perovskites of similar thickness were compared by analyzing time-resolved PL (TRPL) spectra at the primary steady-state PL peak (&#8764;755 nm), which reflects the defect density. The results depicted in Figure <ref type="figure">3i</ref> reveal a correlation between the PL lifetimes of the final MAPbI 3 perovskites and the n values of the corresponding RP phase perovskite precursors, with larger n values leading to longer lifetimes when excited by a 447 nm laser under a power of 50 nW. Typically, the presence of certain defects offers an additional pathway for exciton recombination, resulting in shorter lifetimes. Therefore, the observed trend of carrier lifetime variations with changes in n values aligns with the aforementioned interpretation. To gain a deeper understanding of the impact of n values on the defect density of the synthesized MAPbI 3 perovskites, schematics presented in Figure <ref type="figure">3a</ref>,c,e are utilized to compare the conversion process. During this process, it is necessary to employ more layers of RP phase perovskites with lower n values, such as n = 1, to achieve the same thickness, thereby increasing the number of interfaces involved. This scenario enhances the likelihood of introducing defect species and density during the removal of ligands in the perovskite matrix, particularly I-vacancies and imperfect interfacial merging. Conversely, high-quality MAPbI 3 perovskite is obtained by utilizing 2D perovskites with higher n values, as they involve fewer interface mergers and exhibit intrinsic stacking closer to that of MAPbI 3 perovskites. Similarly, decreasing the bulky BA + cation concentration has the same function as increasing the n value of RP phase perovskites to improve the defect density of the as-synthesized MAPbI 3 nanosheets.</p><p>Meanwhile, the PL lifetimes depicted in Figure <ref type="figure">4a</ref> exhibit a gradual prolongation with increasing thickness, consistent with findings in the literature. <ref type="bibr">36</ref> The intricate structure of the resulting ultrathin MAPbI 3 perovskite nanosheets was further scrutinized using transmission electron microscopy (TEM). Employing a physical transfer system in conjunction with optical microscopy, the ultrathin MAPbI 3 perovskite nanosheets, synthesized directly on polydimethylsiloxane (PDMS), were transferred onto SiN x TEM grids with a thickness of approximately &#8764;5 nm. It is well-known that hybrid perovskites are prone to rapid degradation under electron-beam irradiation, posing significant challenges for TEM characterization, particularly with the synthesized ultrathin sample thickness ranging between 1.2 and 2.4 nm, consisting of only 2to-4 [PbI 6 ] 4-octahedron layers. To mitigate the beam damage issue, a low electron dose, specifically 15 e -&#197; -2 (e -denoting electrons), was adopted for acquiring high-resolution TEM (HRTEM) images and selected area electron diffraction (SAED) patterns. As depicted in Figure <ref type="figure">4b</ref>, the HRTEM image displays equal lattice parameters (a and b) in the plane, both measuring 0.63 nm. <ref type="bibr">37</ref> The 4-fold in-plane symmetry was corroborated by the SAED patterns, with the absence of diffuse scattering points indicating a single crystal nature of high quality.</p><p>To elucidate the atomic arrangement of the ultrathin MAPbI 3 perovskite further, 4D scanning transmission electron microscopy (4D-STEM) was employed. However, in the conventional high-angle annular dark field (HAADF) STEM, sensitive to atomic number distributions, the signal of MA + is always absent due to the weak scattering of light carbon and nitrogen atoms by the electron beam, resulting solely in the observation of heavy atoms, lead (Pb) and iodine(I), within a tetragonal perovskite structure (Figure <ref type="figure">S8</ref>). In contrast, the ptychographic single sideband (SSB) method, being doseefficient and easily interpretable, facilitated the phase retrieval of both light and heavy atoms in MAPbI 3 , enabling simultaneous imaging with an annular detector. <ref type="bibr">38</ref> As exhibited in Figure <ref type="figure">4c</ref>, all atomic columns are discernible in the phase image, including the lightest MA + molecules. The corresponding Fourier transform image (Figure <ref type="figure">4d</ref>) indicates a higher resolution than the HAADF image (Figure <ref type="figure">S8</ref>), revealing a clear Pb-I-Pb lattice with an interplanar spacing of 6.3 &#197;, consistent with HRTEM results (Figure <ref type="figure">4b</ref>), owing to the high dose efficiency of the SSB method that utilizes more electrons for imaging than HAADF STEM. Moreover, the positions of MA + cations, I and Pb atoms are clearly distinguishable in the profile of the atomic columns (Figure <ref type="figure">4e</ref>), identified by their distinct peaks. Particularly, the denoised phase image presented in Figure <ref type="figure">4e</ref> provides further insight into the intact structure of the ultrathin MAPbI 3 nanosheet, revealing elliptical contrasts of iodine columns, suggesting a tilt angle between the upper and lower layers of [PbI 4 ] -octahedrons. Additionally, the lack of a fixed shape of MA + molecules may be attributed to the random orientations of rotated MA + cations within the cubic cage formed by Pb 2+ at room temperature. To comprehend the crystal stacking structure better, parameter c, involving the out-of-plane stacking spacing, was extracted from the XRD results. An intriguing observation is the dependence of XRD results on sample thickness, resulting in two distinct sets of diffraction peaks (Figure <ref type="figure">S9</ref>). For thin samples (thickness &lt;20 nm), the diffraction peak occurs at 2&#952; = 14.00&#176;, while for thick samples (thickness &gt;20 nm), it shifts to 2&#952; = 14.15&#176;. With Bragg's Law (d = &#955;/2sin &#952;), the distances of adjacent faces were calculated as 0.63 nm for thin samples and approximately 0.62 nm for thick samples. It can be inferred that the thin sample exhibits a pseudocubic phase (Space group Pm3m) with parameters a = b = c = 0.63 nm (Figure <ref type="figure">4d</ref>), while the thick sample belongs to a tetragonal phase (Space group I4/mcm, a = 8.9 &#197;, c = 12.4 &#197;) as illustrated in Figure <ref type="figure">4e</ref>. The peaks near 14&#176;are attributed to (001) for the pseudocubic phase and (002) for the tetragonal phase, respectively. This discrepancy may originate from substrate-induced strain, which would significantly affect the vertical stacking spacing for ultrathin MAPbI 3 .</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="2.4.">Artificial Twisted MAPbI 3 Moire&#769;Superlattice and Localized Properties.</head><p>To illustrate homojunctions within thin MAPbI 3 perovskite nanosheets, an artificial twisted superlattice was created by using a physical transfer process. In this process, ultrathin MAPbI 3 nanosheets, each with a thickness of less than 5 nm, were meticulously stacked layerby-layer along the c-axis direction. Subsequently, the twisted superlattice was observed by using high-resolution transmission electron microscopy (HRTEM), as depicted in Figure <ref type="figure">5a</ref>. In contrast to the single sheet of as-synthesized ultrathin MAPbI 3 in Figure <ref type="figure">4b</ref>, the twisted superlattice exhibits distinct squared moire&#769;patterns with a period length (L) of 11.9 nm. Additionally, the corresponding selected area electron diffraction (SAED) pattern of the moire&#769;superlattice in Figure <ref type="figure">5b</ref> clearly reveals two sets of diffraction spots with an intersection angle of approximately 3.2&#176;, indicating a twist between adjacent sheets of this magnitude. This phenomenon resembles the formation of moire&#769;superlattices observed in twisted graphene or transition-metal dichalcogenides (TMDCs) bilayers. <ref type="bibr">39,</ref><ref type="bibr">40</ref> Furthermore, a simulated image in Figure <ref type="figure">5c</ref> was generated using a simplified lattice to represent the top and bottom layers, respectively, accurately replicating the moire&#769;patterns observed in Figure <ref type="figure">5a</ref>. Moreover, in the context of vertical homojunctions, the precise period (L) of such moire&#769;superlattices is determined by the equation L = a 0 / sin &#952;, <ref type="bibr">41</ref> where a 0 represents the distance (0.63 nm) of the inplane Bravais lattice and &#952; denotes the twist angle. Consequently, the theoretically calculated period (L) is 11.3 nm (Figure <ref type="figure">5c</ref>), with a 0 being 6.3 &#197; for ultrathin MAPbI 3 , directly obtained from the TEM image in Figure <ref type="figure">4b</ref>. This value aligns well with the measurement in Figure <ref type="figure">5a</ref>, despite the stacked ultrathin MAPbI 3 perovskite nanosheet not being an atomic monolayer.</p><p>Additionally, the simulated image in Figure <ref type="figure">5c</ref> reveals the presence of at least two distinct types of localized orderly stacking patterns, hereafter referred to as AA-stacking and ABstacking (corresponding to AA and HH stacking, respectively, in ref 40, which presents a similar square lattice), as depicted in Figure <ref type="figure">5d</ref>, within the moire&#769;structures at the atomic scale. These patterns have been anticipated in a prior literature, 42 with AB-stacking typically demonstrating greater energetic stability owing to potential interlayer H bonds, while AAstacking tends to be less stable. Consequently, unconventional properties may manifest and be delineated through moire&#7765; otential. Utilizing the models in Figure <ref type="figure">5d</ref>, we used density functional theory (DFT) computations to determine the electronic density of states (DOS) for the two localized stacks and extracted their corresponding band gaps as illustrated in Figure <ref type="figure">5e</ref>,f. In comparison with bulk MAPbI 3 perovskite (Figures <ref type="figure">S10</ref> and <ref type="figure">S11</ref>), both localized stacking structures exhibit an augmentation in the band gap. However, the augmentation is more pronounced in AB-stacking due to the substantial reconstruction induced by interlayer H bonds. The notable dependence of the band gap on the localized position could result in a spatial modulation of the electronic structure and associated properties. We further computed the relative electronic band edges of the top and bottom layers using an electrostatic potential alignment method. As depicted in Figure <ref type="figure">5g</ref>, a type-II band alignment would potentially emerge in AAstacking, likely due to interface distortion with repulsion from I-I contact, thereby yielding the possibility of interlayer excitons. Meanwhile, the formation of hybridized excitons in AB-stacking arises from its pseudotype-II band alignment. This suggests that the excitonic properties of perovskite vertical junctions can be manipulated by the twist angles and the coexistence of various local stacking configurations, akin to those of other 2D materials.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="3.">CONCLUSIONS</head><p>In summary, we provide reasonable explanation of how we achieve an equilibrium solution to produce ultrathin MAPbI 3 perovskite nanosheets with precise thickness control and Journal of the American Chemical Society exposed intrinsic surfaces. This is accomplished by utilizing a 2D RP phase perovskite as a template. Based on the analysis of species under reaction equilibrium, the critical aspect enabling this successful transformation involves establishing a reaction environment containing a minimal quantity of octahedral [PbI 6 ] 4-, which hinders the dissolution of the inorganic frameworks of perovskites. Furthermore, the thickness of MAPbI 3 can be effectively regulated by adjusting the n values or inorganic layer numbers within the 2D RP phase perovskite template. Moreover, an increase in the n value also aids in reducing the defect density of the synthesized ultrathin MAPbI 3 perovskite by minimizing the interfacial merging of inorganic frameworks. As an illustration, we constructed an artificial moire&#769;superlattice with a twist angle of 3.2&#176;using the high-quality ultrathin MAPbI 3 perovskite. The resulting moire&#7765; attern displays various localized stacking structures with notable symmetry. Through complementary first-principles calculations, it is revealed that the local interlayer coupling can be strengthened through moire&#769;potential modulation, leading to distinctive properties that warrant further exploration. Our discoveries introduce a novel approach for fabricating ligandfree ultrathin perovskite nanosheets and establish a foundation for investigating photophysics related to interfacial coupling in emerging low-dimensional material systems.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="4.">EXPERIMENTAL SECTION</head><p>4.1. Chemicals and Materials. Solvents, including anhydrous chlorobenzene (CB), isopropyl alcohol (IPA), hydroiodic acid (HI, 57 wt % in H 2 O), hypophosphorous acid (H 3 PO 2 , 50 wt % in H 2 O), and solid chemicals including PbO powders and lead iodide (PbI 2 )</p><p>were purchased from Sigma-Aldrich. n-Butylammonium iodide (BA&#8226; HI) and methylammonium iodide (MAI) were purchased from Greatcell Solar Ltd. All chemicals were used as received.</p><p>4.2. Synthesis of 2D and Quasi-2D Perovskite Single Crystals. For the BA 2 PbI 4 crystal, PbO (0.57 mmol) and BAI (0.57 mmol) precursors were used. For BA 2 MAPb 2 I 7 crystal, PbO (0.59 mmol), BAI (0.43 mmol), and MAI (0.31 mmol) precursors were used. For BA 2 MA 2 Pb 3 I 10 crystal, PbO (0.59 mmol), BAI (0.19 mmol), and MAI (0.4 mmol) precursors were used. To grow each crystal, all the precursors were dissolved into an acid mixture containing 0.9 mL of HBr or HI and 0.1 mL of H 3 PO 2 in a 10 mL glass vial and heated to 120 &#176;C in an oil bath [ref S1, Supporting Information]. Once the precursors were completely dissolved, the stirring was terminated and the solution was cooled to room temperature with a cooling rate of 10 deg/10 min. The crystals were collected by vacuum filtration.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="4.3.">Conversion from 2D Perovskites to MAPbI 3 Perovskite</head><p>Using the Equilibrium Solution Method. The equilibrium solution was made by PbI 2 (10 mg)/MAI (10 mg) in 1 mL of IPA solution. To reach equilibrium, the solution was heated at 40 &#176;C on a hot plate for overnight. Then, 250 &#956;L of supernatant of equilibrium solution was used for conversion at room temperature, and reaction times were 1, 5, and 7 min to acquire thin MAPbI 3 perovskites from exfoliated BA 2 PbI 4 , BA 2 MAPb 2 I 7 , and BA 2 MA 2 Pb 3 I 10 precursors on the silicon substrate, respectively. The reaction was performed in a 4 mL glass vial. After reaction, the samples were washed by 1 mL of CB and IPA mixed solution with the volume ration of 100/3 and further annealed at 55-58 &#176;C for 10 min.</p><p>4.4. Optical Characterizations. The optical images were collected by a custom microscope (Olympus BX53). The photoluminescence images were collected under the excitation of a light source (012-63000; X-CITE 120 REPL LAMP). The filter cube contains a bandpass filter (330-385 nm) for excitation and a dichroic mirror (cutoff wavelength, 400 nm) for light splitting and a filter (long pass 420 nm) for emission. The photoluminescence spectra were collected by a spectrometer (SpectraPro HRS-300). The timeresolved PL measurements were carried out using a 40x [numerical aperture (NA), 0.60] objective in a home-built microscope setup with a laser light generated by a picosecond-pulsed diode (LDH-P-C-450B, PicoQuant), pumping at 2.8 eV (full width at half-maximum, 50 ps).</p><p>4.5. Atomic Force Microscopy Images. Cypher ES Environmental AFM was used for the measurement with probe-type AC240TM-R3. During the imaging, the tapping mode was used.</p><p>4.6. XRD Measurements. XRD was measured using a powder Xray diffractometer (Panalytical Empyrean) with a Cu K&#945; source. The wavelength (&#955;) is 0.154 nm. The XRD measurements were performed on the as-grown MAPbI 3 perovskites covering almost the entire surface of the SiO 2 (300 nm)/Si substrate. For thin samples, the 2D perovskite precursors were further exfoliated several times after being transferred onto silicon substrates. To do XRD measurements on thin and thick samples, the conversion reaction was conducted in 1 mL equilibrium solution for 1 h to ensure all the precursors are converted to MAPbI 3 . 4.7. TEM Characterization for the Single-Layer MAPbI 3 Nanosheet and Twisted Structure. To acquire the high-resolution transmission electron microscopy (HRTEM) image, the ultrathin MAPbI 3 nanosheet was directly synthesized on polydimethylsiloxane (PDMS) substrate and then transferred onto SiN x TEM grid with the thickness of 5 nm. The 4D-STEM data sets were acquired using an event-driven Timepix3 direct electron camera equipped on probe aberration-corrected Thermo Fisher Advan-TEM. The accelerating voltage was 200 kV, and the convergence angle was set to 13 mrad. The collection angle of HAADF image was 48-200 mrad. The probe current was less than 0.2 pA, and the dwell time was 0.5 &#956;s. The 4D data sets were processed using the single sideband (SSB) method of 558 ptychography with a homemade python code. For the twisted MAPbI 3 structure, the MAPbI 3 nanosheet was transferred twice, and the twist angle was controlled by the optical transfer system.</p><p>4.8. Computational Details. DFT calculations were performed using the Vienna Ab initio Simulation Package (VASP), [refs S2-S4, Supporting Information] applying the projector augmented wave (PAW) pseudopotentials [ref S5, Supporting Information] and the generalized gradient approximation (GGA) of Perdew, Burke, and Ernzerhof (PBE) [ref S6, Supporting Information] for the exchangecorrelation energy. For all calculations, the kinetic energy cutoff for the plane-wave basis was set to 500 eV. The Brillouin zone was sampled based on a Monkhorst-Pack k-point mesh, with a reciprocal mesh of 6 &#215; 6 &#215; 6 for the MAPbI 3 cubic unit cell (with an optimized pseudocubic lattice constant of &#8764;6.3 &#197;) and a 2 &#215; 2 &#215; 1 mesh for homojunction structures. For geometry optimization, the force convergence threshold was set to be -0.025 eV/&#197; and the selfconsistent energy convergence threshold is 10 -6 eV. DFT-D3 correction was applied along with GGA-PBE in all calculations to account for vdW interactions [ref S7, Supporting Information]. The electronic band structure was calculated at high-symmetry k-point paths, which is G (0,0,0), X (0.5,0,0), M (0.5,0.5,0), and R (0.5,0.5,0.5) for the cubic phase. Figures <ref type="figure">S10</ref> and <ref type="figure">S11</ref> show DFToptimized crystal structures and computed band structures for the cubic and tetragonal phases of MAPbI 3 . The MAPbI 3 homojunction structures were built from DFT-optimized layered MAPbI 3 . A 3 &#215; 3 &#215; 2 (001) MAPbI 3 slab was used to construct the bottom and top layers of the bilayer structure, and necessary horizontal displacements were performed to model the AB-and AA-stacking configurations. Electronic band edges were calculated based on a well-known average electrostatic potential alignment scheme involving bulk, surface slab, and interface calculations [refs S8 and S9, Supporting Information].</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head>&#9632; ASSOCIATED CONTENT</head></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head>* s&#305; Supporting Information</head><p>The Supporting Information is available free of charge at <ref type="url">https://pubs.acs.org/doi/10.1021/jacs.4c10298</ref>.</p><p>Images of solutions with different compositions, optical images of samples tracked with reaction time, more AFM images of the reaction tracked with different thickness, comparison of XRD results between thin and Journal of the American Chemical Society thick samples, calculated results of bulk MAPbI 3 , and crystal parameters of 2D perovskites (PDF)</p></div><note xmlns="http://www.tei-c.org/ns/1.0" place="foot" xml:id="foot_0"><p>Journal of the American Chemical Society</p></note>
			<note xmlns="http://www.tei-c.org/ns/1.0" place="foot" xml:id="foot_1"><p>https://doi.org/10.1021/jacs.4c10298 J. Am. Chem. Soc. 2024, 146, 27861-27870</p></note>
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