Long‐Lived Photoluminescence of Photostable One‐Dimensional Picoperovskites
Maximilian Tomoscheit, Julian Schröer, Jaskaran Singh Virdee, Steffen Wolter, Rico Schwartz, Stefan Lochbrunner, Christopher E. Patrick, Reza J. Kashtiban, Tobias Korn

TL;DR
Researchers found that one-dimensional perovskite crystals inside nanotubes emit long-lasting light, much longer than bulk perovskites.
Contribution
The study reports extraordinarily long photoluminescence lifetimes in picoperovskites compared to bulk perovskites.
Findings
Polarized micro-photoluminescence reveals bright emission with linear polarization along the bundle axis.
Picoperovskites exhibit PL lifetimes of several hundred nanoseconds at low temperatures.
The emission is redshifted compared to bulk perovskite samples with the same constituents.
Abstract
We study one‐dimensional metal halide perovskite crystals encapsulated in single‐wall nanotubes, so‐called picoperovskites, using optical spectroscopy. Polarized micro‐photoluminescence (PL) reveals bright emission from aligned bundles of picoperovskites with clear linear polarization along the bundle axis. This emission is redshifted with respect to bulk perovskite samples using the same constituents. Temperature‐dependent, time‐resolved micro‐PL shows extraordinarily long PL lifetimes of the picoperovskites at low temperatures, reaching several hundred nanoseconds and exceeding those of bulk perovskites by two orders of magnitude. We study one‐dimensional metal halide perovskite crystals encapsulated in single‐wall nanotubes, so‐called picoperovskites, using optical spectroscopy. Polarized micro‐photoluminescence (PL) reveals bright emission from aligned bundles of picoperovskites…
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FIGURE 6- —Deutsche Forschungsgemeinschaft10.13039/501100001659
- —Engineering and Physical Sciences Research Council10.13039/501100000266
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Taxonomy
TopicsPerovskite Materials and Applications · Thermal Expansion and Ionic Conductivity · Advanced Battery Materials and Technologies
Introduction
1
Perovskite materials, defined by the sum formula ABX_3_, have sparked significant research interest in recent years, particularly due to their excellent properties as solar cell materials [1]. However, they also show other exciting properties, such as huge Rashba splitting [2] due to strong spin–orbit coupling, large nonlinear susceptibility values [3], and near‐unity quantum yield [4]. Perovskite materials can be easily synthesized in various forms with diverse chemical compositions, including inorganic, organic, and hybrid perovskites. The so‐called metal halide perovskites (MHPs) have been extensively studied and have been shown to have tunable emission wavelengths via chemical composition, dimensionality, and layer number [5]. Overall, the properties of perovskites are strongly correlated with their structure, e.g., bond angles and lengths between the metal and halide atoms. These values can change with temperature, leading to temperature‐dependent properties and drastic phase changes. Layered two‐dimensional (2D) perovskites can be synthesized or exfoliated down to monolayer thickness. This reduced dimensionality leads to significant confinement effects, like increasing the optical bandgap and the exciton binding energies [6]. All of this makes them interesting candidates for fundamental research and device applications, especially for solar cells and optoelectronic devices. A major challenge for device application is the pronounced degradation processes of perovskites, which have been intensely investigated in recent years; see, e.g., Refs. [7, 8] and references therein. Degradation may be driven by the presence of oxygen and moisture. Additionally, under light exposure, photodegradation takes place, which is especially problematic for photovoltaic applications. Photodegradation also hinders basic research of the perovskite materials themselves, especially when structures with reduced dimensionality and correspondingly greater surface‐to‐volume ratio, such as layered perovskites, are to be investigated by optical spectroscopy. Several strategies were employed to reduce the impact of photodegradation, such as measurements and storage in inert atmosphere, performing measurements at cryogenic temperatures, or encapsulation of 2D perovskites between few‐layer flakes of hexagonal boron nitride (hBN) [9, 10]. None of these measures can stop degradation indefinitely, making long‐term storage of reduced‐dimensionality perovskite materials and their application in devices difficult. Temperature‐dependent optical experiments are also challenging, as samples typically experience severe degradation after a single cooling cycle, even though the experiments are carried out in a vacuum or inert atmosphere.
Here, we study one‐dimensional (1D) picoperovskites encapsulated inside single‐walled carbon nanotubes (SWCNTs) by various optical spectroscopy techniques. In these structures, the SWCNTs act, both, as a scaffold that yields the smallest conceivable 1D perovskite nanowire and as a near‐perfect encapsulation barrier, providing protection against degradation mechanisms. We find bright photoluminescence (PL) emission from bundles of aligned picoperovskites with a clear linear polarization along the bundle axis. This emission is redshifted with respect to bulk perovskites using the same constituents. Temperature‐dependent, time‐resolved micro‐PL shows extraordinarily long PL lifetimes of the picoperovskites at low temperatures, reaching several hundred nanoseconds and exceeding those of bulk perovskites by two orders of magnitude. The picoperovskites display remarkable stability regarding long‐term storage, cooling cycles, and optical excitation.
Results and Discussion (PL Characterization)
2
We study picoperovskite samples which consist of 1D Cs‐Pb‐I perovskite nanowires enclosed by single‐wall carbon nanotubes (SWCNT). Due to the small scaffold provided by the SWCNTs, the nanowires have a diameter below 1 nm; hence, the combined SWCNT‐perovskite nanostructures will be called picoperovskites, in line with previous work [11]. Growth of the perovskites within the SWCNT is realized by mixing finely ground perovskite powder with oxidized SWCNTs. The mixture is then sealed in an ampoule under vacuum, slowly heated to about 500°C, kept at elevated temperature for about 12 h, and then slowly cooled to room temperature. This process yields a powder containing picoperovskites. Further details of the preparation are reported elsewhere [11]. High‐resolution transmission electron microscopy images of picoperovskites, together with a structure model, are depicted in Figure 1.
Annular dark‐field scanning transmission electron microscopy (ADF‐STEM) micrograph of CsPbI nanowires encapsulated within a bundle of SWCNTs with inset depicting end‐on view of a nanowire structure model (left). A representative structure model of hybrid CsPbI picoperovskite/SWCNT (middle) and ADF‐STEM view of a 0.8 nm in diameter nanowire within a 1.4 nm SWCNT. The scale bars from left to right represent 10 and 1 nm respectively.
Before sample fabrication, the source material was stored under ambient conditions with no extra precautions. To prepare samples for optical spectroscopy, small amounts of the picoperovskite powder were mixed into isopropanol, and the mixture was sonicated for several minutes to disperse entangled bundles. The sonicated solution is then quickly dropped onto a Si/SiO2 wafer and spin‐coated to ensure a low‐density coverage of individual picoperovskites and bundles. Reference samples were prepared in a similar fashion, but using bulk CsPbI perovskite instead of picoperovskite powder to create mesoscopic agglomerates of bulk perovskite on a Si/SiO2 wafer. To test the stability, the samples were exposed to a laser for several minutes while continuously taking PL spectra. For a moderate laser power, no systemic reduction of the PL signal occurred; the small changes observed are attributed to power drift of the laser and heat‐induced spatial drift of the sample position. This lack of degradation is in contrast to the results found for a 3D sample. In order to induce comparable degradation in the picoperovskite sample, an increase of laser power by more than a factor of 3 is required (Figure S3). In between measurements, the samples were stored under ambient conditions and were reused for multiple experiments and cooling cycles.
For basic characterization, fluorescence (FL) and dark‐field (DF) images obtained with a Nikon microscope under 50× magnification were used. For FL imaging, a Nikon V‐2A filter block is utilized. It transmits blue light (380–420 nm) from a high‐power light‐emitting diode source onto the sample. The light reflected and emitted from the sample is filtered via a long pass (onset wavelength 450 nm) filter and detected using a Peltier‐cooled charge‐coupled device (CCD) camera. Figure 2a,b shows the FL and DF images taken on one sample examined in this study. Both images show a wire‐like structure with a length of about 9 microns and an apparent width of about 700 nm, limited by the spatial resolution of the optical microscope. In the DF image, this structure is the only signal source, whereas in the FL image, the structure is surrounded by other fluorescing sources, possibly organic residues. An integration time of 10 s was used to record the FL signal. In comparison between (a) and (b), the FL signal of the structure is uniformly distributed, except for a local maximum roughly situated in the middle, which we will see later in a different sample is not due to local enhancement but likely originates from organic residues overlapping the structure. The DF image in (b) on the other hand is quite inhomogeneous, possibly due to a varying thickness or roughness of the structure.
(a) Fluoresence of a picoperovskite bundle. The sample is illuminated by a spectrally filtered (380–420 nm) LED source; the fluorescence is filtered by a 450‐nm longpass. (b) Dark field image of the same area as shown in (a). (c) Raman spectrum of a picoperovskite bundle. (d) Polarization‐resolved intensity of G peak measured with fixed excitation polarization.
To identify the composition of the structure, Raman measurements were carried out. The sample was excited by a 532 nm laser with a fixed power of 1 mW. For polarization‐resolved measurements, a linear polarizer and a half‐wave plate were placed before the spectrometer. The Raman spectrum in Figure 2c, taken at an arbitrary polarization angle, shows the typical Raman signature at low and intermediate Raman shifts expected for a SWCNT [12]. The small peak at low energy (128,9 cm^−1^) is the radial breathing mode (RBM) from which a diameter of 1.36 nm can be derived [13]. This is in good agreement with the CNT diameters used in the synthesis of the picoperovskites [11], which are in the range of 1–2 nm. From this range of CNTs, only a subset that has interband transitions resonant with the fixed laser wavelength yields sufficient Raman intensity to be easily detected by our Raman setup, leading to a single RBM peak. Furthermore, in the mid‐energy range, four more peaks can be identified, the defect peak D, the in‐plane bond stretching modes G+/−, with the plus and minus components emerging due to strain effects related to the curvature of the SWCNTs, and the combined RBM + G mode. The high ratio of the G peak to the D peak (G/D∼36.5) indicates a low defect density in the SWCNT.
For the polarization‐dependent Raman signal amplitude pattern shown in (d), the G peak obtained at different detection polarization angles was fitted by a single Gaussian. The resulting pattern is that of a two‐fold symmetric system, as previously reported for individual SWCNTs [14]. This arises from the vastly different polarizability of CNTs for external fields applied parallel and perpendicular to the tube axis, which in turn modulates the absorption of light depending on its polarization orientation with respect to the tube axis by a factor of about 20 [15]. For a single SWCNT, we would thus expect the Raman signature to almost vanish perpendicular to the long axis. However, in the measured polarization pattern, the signal only gets reduced by 83%, less than expected for a single isolated SWCNT. Thus, we infer that our structure consists of multiple SWCNTs forming an aligned bundle with a small divergence of the individual tube axes, in good agreement with the inhomogeneity observed in the DF image. Since SWCNTs with diameters used in our synthesis have bandgaps corresponding to near‐infrared PL [16], the fluorescence in the visible range observed in our structure must stem from the perovskite core. Its optical properties will be studied in the following.
An optical microscope image recorded with epi‐illumination of another picoperovskite sample can be seen in Figure 3a. The slightly irregular shape is likely due to the bundle consisting of mostly aligned picoperovskites with varying lengths and diameters. To further study the fluorescence, a PL setup with a diode laser emitting at 405 nm was used. An automated stage was used to obtain PL maps and a combination of polarizer and half wave plate in front of the spectrometer, as in the Raman setup, to obtain polarization‐resolved spectra. Figure 3b shows two individual spectra measured at 4 K and an arbitrary polarization angle with corresponding Gaussian fits in dotted lines. The purple line is the PL spectrum obtained from a bulk reference sample under the same experimental conditions. In comparison, the spectrum obtained from the picoperovskite sample, shown in black, is slightly redshifted to lower energies by 36.5 meV, centered at 2.313 eV. The small shift observed between picoperovskites and bulk material using micro‐PL at low temperatures is not discernible in absorption spectroscopy performed on ensembles in solution at room temperature. There, Gaussian fitting reveals an energy change of only 1.4 ± 1.5 meV for the lowest‐energy interband transition (see Supporting Information).
(a) Optical image of a picoperovskite bundle. (b) PL spectra (solid line) and Gaussian fits (dashed lines) obtained at T = 4 K of the picoperovskite bundle shown in (a) and bulk sample for comparison. (c) False color map of PL intensity extracted from a scan of the area marked by the red box in (a). (d) Polarization‐resolved intensity of backscattered excitation laser light (black squares) and picoperovskite PL emission.
Given the drastic change of dimensionality from a bulk‐like to a 1D perovskite structure, this small energy shift is surprising. However, we have to consider that there are multiple effects that influence the optical bandgap upon this change that work in opposite directions [17]. First, size quantization increases the interband transition energy, as electron and hole energy levels are shifted dependent on their effective mass and the quantization length. In addition to this single‐particle effect, the exciton binding energy is also modified. Here, we can discern two mechanisms: the reduced dimensionality leads to an increase of the exciton binding energy, as the degrees of freedom are reduced. For example, changing the dimensionality in the hydrogen problem from 3D to strict 2D confinement yields an increase of the binding energy by a factor of 4 [18]. In real low‐dimensional structures, the change in dimensionality is often also accompanied by a change in dielectric environment. While in the bulk phase, there is an isotropic, typically rather large dielectric constant screening the attractive Coulomb interaction, it becomes anisotropic and smaller if the nanostructure is surrounded by vacuum. Together, these two effects lead to significant increases of the exciton binding energy and can stabilize excitons in nanostructures at elevated temperatures.
Apparently, in our picoperovskites, the increase of interband transition energy due to the 1D confinement and the increase of exciton binding energy nearly cancel out each other, as the shift only amounts to 36 meV. A similar lack of drastic changes to the optical band gap with changing dimensionality due to a compensation of these effects was previously reported for boron nitride nanotubes [19].
The PL map shown in Figure 3, obtained by moving the sample under the laser spot, shows the source of the PL signal highly localized in a shape similar to the one seen in the optical image in (a) and a relatively homogeneous distribution of PL intensity. Minor variations of the PL intensity can be attributed to a variety of length and CNT diameter of the single heterostructures making up the bundle, with the first resulting in a heterogeneous width of the bundle and the last giving rise to a variety of chiral indices of the CNT, resulting in different band alignment of the single nanowires. For the polarization patterns shown in (d), Gaussian fits were performed for every angle, for the backscattered laser light reference at 3.06 eV and for the PL at 2.313 meV. We clearly see that the PL emission of the picoperovskite bundle is not polarized parallel to the laser, but preferably oriented along its long axis. The emission pattern is again that of a twofold symmetric system, but with an intensity decrease of roughly 60%, which is less pronounced than in the polarized Raman spectroscopy with a decrease of 83%.
Due to the small dimension of the picoperovskite bundles, the PL signal is strongly position dependent (see Figure S2). To perform a temperature series on the PL setup, influence of spatial inhomogeneities and temperature‐induced drift of the sample must be overcome. To achieve this for each temperature, a PL map was obtained, and a single spectrum from approximately the same position was selected and fitted with Gaussian functions. Figure 4a shows a waterfall plot of these curves, normalized, with three exemplary fits. For the temperature range of T=4−50K, one peak was identified, for T=75−150K two and for 175 K until 300 K three peaks were identified. Note that fits could only be performed from 4–275 K due to the significantly lower signal‐to‐noise‐ratio at room temperature. This trend becomes clear in Figure 4c, where the amplitudes of the Gaussian fits of all three peaks are plotted over temperature on a logarithmic intensity scale. The decrease in amplitude of over 3 orders of magnitude is consistent with the low intensity of fluorescence in Figure 2a, which was measured at room temperature.
(a) PL spectra taken at different temperatures with exemplary Gaussian fit shown for the spectra obtained at T = 4, 100, 200 K. (b) Peak energy of Gaussian fits performed on the spectra shown in (a). The numbering of E1, 2, 3 follows the same as for T = 200 K in (a). (c) Amplitude of the Gaussian fits.
Figure 4b shows the energy of all three peaks, obtained from the Gaussian fits, plotted over the temperature. E2 shows a linearly increasing blueshift of 98.2 meV between 75 and 300 K. Many perovskite materials show this unusual blueshift, which is not present in most other semiconducting materials. Generally speaking, there are two contributions to the change of gap energy with temperature. One is the change of electron–phonon interaction, e.g., by increasing the phonon population with rising temperature, leading to a decrease of the bandgap [20, 21, 22]. The other is the thermal lattice expansion resulting in an increase of the bandgap. In contrast to conventional semiconductors, for ABX3 perovskites, the conduction band minimum and the valence band maximum are both formed by bonding BX and antibonding BX orbitals [23]. A change of bond length, energy or orbital overlap, will lead to a change of bandgap. Although the blueshift is still under intense debate, it is apparent that the influence of thermal expansion has a significant contribution to it. The high energy peak E3 shows a slight redshift between 175 and 275 K unusual for a perovskite material. As the peak only emerges with higher temperatures and a redshift is typically associated with an increase of electron phonon interaction, the origin in this high energetic peak might be higher band phonon‐assisted transitions. Recent studies on perovskite nanocrystals have shown the opposite behavior for chlorine instead of iodine‐based perovskites [24], with an electron–phonon‐coupling mediated redshift. The most unique behavior is shown by E1 with a nonlinear redshift from 4 to 125 K followed by a nonlinear blueshift until 175 K, after which the energy doesn’t change significantly. This peak dominates the spectrum at low temperatures and shows the most drastic decrease in intensity. An ostensibly similar behavior was reported for MAPbI thin films by Wright et al. The anomalous behavior stems from additional peaks emerging and spectral broadening. It was suggested that trap states originating from inclusions of the room‐temperature tetragonal phase could be responsible for that [25]. In our case, additional peaks emerge and broaden with increasing temperature not decreasing as previously reported. Due to the high intensity and large FWHM of 230 meV, E1 can be attributed to so called self trapped excitons (STEs) [26]. Through the formation of excitons, the lattice deformation is locally enhanced leading to self trapping of the excitons. As STEs usually have a long lifetime due to their high localization, a temperature series on time‐resolved PL (TRPL) is carried out, to further solidify this claim.
For time‐resolved PL measurements, the same laser system as in the steady‐state PL setup was used, but the diode laser was operated in pulsed mode, with an excitation wavelength of 405 nm and a repetition rate of 10 MHz. For detection, a time‐correlated single photon counting systems using an avalanche photodiode detector was coupled to the laser, experimental details are published elsewhere [27]. The resulting time‐dependent PL intensity traces can be seen in Figure 5a, with two different timescale regimes, depending on the temperature. At low temperatures from 4 to 100 K, the PL dynamics occurs on timescales of hundreds of nanoseconds, while at higher temperatures from 125 to 300 K we observe shorter‐lived signals on few‐nanosecond timescales.
(a) PL traces measured at different temperatures and a PL trace of a bulk sample at T = 4 K for comparison. (b,c) Lifetimes and Amplitudes obtained by biexponential fits performed on the traces from (a).
The effect of changing dimensionality is especially pronounced in the PL curves measured at 4 K (violet trace). Here, the picoperovskite sample has a PL lifetime exceeding that of the bulk reference sample (black trace) by more than two orders of magnitude. Other nanostructured materials like perovskite quantum dots and nanoplatelets show a PL lifetime on the order of tens of nanoseconds [26, 28, 29], hugely exceeded by the 850 ns of the picoperovskites. With its fully one‐dimensional character, the picoperovskite potentially represents the extreme limit of this mechanism. The fact that such long lifetimes can be observed experimentally is rather surprising, as PL lifetimes of excitons in SWCNTs have been observed to be far smaller, even at low temperatures [30]. For CNTs, nonradiative processes provide additional decay channels and reduce the PL lifetime to values far below the radiative lifetime while also reducing the quantum yield [31]. Remarkably, the SWCNT encapsulating the perovskite nanowire inside apparently suppresses such nonradiative decay channels for the perovskite inside. From the long PL lifetime we observe, we can also infer that there is neither pronounced charge nor energy transfer from the perovskite core to the SWCNT shell, both of which would present a decay channel for the perovskite PL emission. Since we can assume based on CNT diameters the SWCNT bandgap to be smaller than that of the perovskite, directly opposite to the usual design of core–shell structures, such transfer processes should be energetically favorable.
To systematically study the temperature dependence of the PL lifetimes, each curve was fitted with either a biexponential or a monoexponential decay function. For the biexponential function, two contributions are attributed with drastically different timescales of decay. Figure 5b visualizes these two timescales on a logarithmic scale. The results from the short‐lived timescale are denoted by the subscript 1 and plotted in blue. The resulting lifetimes are harshly contrasted to the results of the long‐lived signal, denoted by the subscript 2 and plotted in red, with the difference exceeding one order of magnitude. In pale red and blue, the lifetimes t1 and t2 of a bulk sample obtained at 4 K are plotted for reference. Both values are decreased by one order of magnitude compared to the results from the picoperovskite sample. At 4 K, t2 amounts to an astonishing 659 ns, decreasing to 208 ns at 100 K followed by a significant drop of lifetime to 7 ns remaining in that order of magnitude until only a monoexponential fit can be carried out after 200 K, e.g., because the decay channel for t2 vanishes or a technical reason like the amplitude being too low to differentiate the signal. t1 behaves similarly, starting with 45 ns at 4 K dropping to roughly 1 ns after 100 K which is approaching the temporal resolution threshold. The increase of t1 after 200 K can be attributed to the change from bi‐ to monoexponential fitting, thus a technical reason. The huge PL lifetime and stark decrease with increasing temperature is a good indication of the presence of STEs. The decrease of PL lifetime with temperature might be associated with an increased phonon density or even an increased charge mobility, reducing the localization of the STEs. Figure 5c shows the amplitude derived from fitting, showing the relative share of each contribution A1 and A2. For 4 and 50 K A2, the long‐lived signal is dominant, which is overtaken by A1 at 75 K, the temperature for which in the steady state PL the second peak emerges (Figure 4). After 100 K, both amplitudes drop multiple orders of magnitude, the same temperature for which the drop in lifetime in (b) occurs.
DFT Calculations
3
Density‐functional theory calculations were carried out in order to investigate the electronic structure of the combined picoperovskite/CNT structure, where the picoperovskite is modeled as Cs3PbI5 which is charge neutral and resembles the cubic perovskite structure with Cs vacancies located at opposing cube corners. In the absence of any confinement, Cs−Pb−I adopts the Cs−Pb−I3 stoichiometry. However, when encapsulated in the nanotube, it may form different stoichiometries, depending on the nanotube size. This was investigated in detail and discussed by R. Kashtiban et al. for Cs−Pb−Br and Cs−Sn−I [11]. In particular, for nanotubes of 1.4‐nm diameter, “cubic” structures were observed, like that shown in Figure 1. It is important to realize that a “full cubic” structure with Cs atoms at all 8 corners will have a stoichiometry Cs4PbI5. In [11], it was found that Cs3PbBr5 better reproduced the experimental images of 1.4 nm CNTs, particularly a systematic tilting in the PbBr6 octahedra, and also this stoichiometry is charge neutral. The bandgap of the Cs3PbI5 picoperovskite in vacuum is calculated to be 2.73 eV, using the generalized‐gradient PBE functional [32, 33]and neglecting spin–orbit coupling (SOC). Including SOC reduces the gap to 2.09 eV, while using the more computationally expensive PBE0 hybrid functional [34] increases the gap by approximately 1 eV [11, 35]. The band structure including SOC shows a pronounced splitting of the lowest‐energy conduction band of about 0.8 eV. This is in qualitative agreement with the two distinct absorption peaks observed by absorption spectroscopy at 4.29 and 3.45 eV (see Supporting Information). Thus, we can tentatively assign these spectral features to interband transitions to the spin‐split conduction band. The projected density‐of‐states (PDoS, Figure 6b) confirms that, as with higher‐dimensional perovskite materials [3], the valence band is primarily of I5p character, while the conduction band is a mix of I5p and Pb6p contributions.
Electronic band structures calculated at the DFT‐PBE level. (a) and (b) show the band structures calculated for the isolated Cs3PbI5 picoperovskite, without (a) and with (b) spin–orbit coupling (SOC). (b) also shows the bands’ projections onto atomic orbitals (PDoS). (c) shows the band structures of the isolated picoperovskite (blue), isolated CNT (yellow), and of the combined picoperovskite/CNT structure (red, and gray bands appearing in all panels).
Placing this picoperovskite inside a (10,10) nanotube (diameter 1.36 nm) produces the band structure shown in Figure 6c (gray and red lines). The negligible hybridization between the picoperovskite and CNT can be deduced by comparing this band structure to those calculated for the isolated picoperovskite, or isolated CNT [blue and yellow lines in Figure 6c]. We see that the bands of the picoperovskite/CNT structure are essentially a superposition of the bands of the isolated components, with each electronic state clearly identifiable as belonging to the picoperovskite or the CNT. This property allows the identification of the picoperovskite band edges in the combined structure, giving a picoperovskite bandgap of 2.74 eV, essentially identical to the isolated case.
An interesting feature of the band structures in Figure 6 is the alignment of the band edges. Both the valence band maximum and conduction band minimum (VBM/CBM) of the picoperovskite lie energetically higher than the quasi VBM/CBM of the CNT (we note that the metallic (10,10) CNT does have metallic bands which cross the Fermi level, but their contribution to the DoS is small). This is comparable to the type‐II band alignment of for example transition metal dichalcogenide based heterostructures [36], in which excitons can be separated by the heterojunction creating interlayer excitons. These interlayer excitons have strongly increased PL lifetimes, compared to the intralayer excitons and also a pronounced temperature dependence. Like the PL lifetimes measured on the picoperovskites, the PL lifetimes of interlayer excitons decreases with temperature, ranging from up to 100 ns at 4 K to single nanoseconds at room temperature [37]. Since the CNTs are optically inactive in the used wavelength range, electrons are only excited in the picoperovskite site. If the heterojunction between CNT and picoperovskite allows for charge transfer from the perovskite to the CNTs, an electron might get delocalized in the CNT while a highly localized hole resides in the picoperovskite site. This spatial separation would immensely reduce the wavefunction overlap and thus increase the lifetime of these excited states drastically. However, the experimental system of this study is not as well defined as the model, with a range of CNTs of different diameters and chiral indices, over which the optical measurements are intrinsically averaged. It should also be noted that the DFT calculations presented here have limitations, in particular not explicitly treating excitonic effects.
Summary and Conclusion
4
In this paper, optical studies on a new 1D perovskite material were presented, called picoperovskite because of its small diameter. This novel material was investigated in the form of a unique heterostructure, where the picoperovskite nanowires were grown inside of single wall carbon nanotubes. The investigated structures consisted of heterostructures of different lengths forming a bundle. The near‐perfect encapsulation tackled one of the problems for performing optical experiments on nanoscaled perovskite materials and device application: degradation. The improved stability leads to a significantly reduced storage complexity and increased reproducibility.
For the results of the optical experiments, we suggest two different explanations. At low temperatures, approaching 4 K, the steady‐state PL is dominated by the formation of STEs, with their high FWHM of 230 meV and high intensity increase. Also the energy and charge transfer from the perovskite core to the CNT shell becomes insignificant, increasing the PL lifetime over two orders of magnitude and enhancing the self trapping mechanism. The compensation of quantization energy and increased exciton binding energies leads to the negligible PL shift between bulk and picoperovskites.
An alternative explanation is the emergence of charge transfer excitons, where one of the charge carriers is excited from the perovskite core to the CNT shell, analogous to the behavior in TMD heterostructures. In these type‐II heterostructures, the lifetime of interlayer excitons is significantly higher than that of the intralayer excitons, where the electron–hole pair resides in one of the materials. Analogously, an exciton in the CNT shell could recombine quickly, either radiatively or not, while single charge carriers could reside over a longer period. The spatial separation of the charge carriers would decrease the wavefunction overlap, thus increasing the PL lifetime. In this scenario, the quantization energy would be partially compensated by the exciton‐binding energy and the type‐II band alignment.
Based on the available data, neither model can be conclusively favored. However, since the investigated bundles consist of CNTs with varying chiral indices, and corresponding bandgaps, only a subset of the bundles should be aligned according to the DFT calculations, also broadening the PL. With the methods and setups used here, it is not possible to verify whether only a subset of the bundles is emitting PL. To confirm one or the other explanation, further research is necessary.
Finally, the unusual red‐ and blueshift of different peaks with temperature is of scientific interest and warrants further study, as it might be originating from novel interactions between excitons and phonons interplaying with crystal phase changes.
Methods
5
Material Synthesis and Sample Fabrication
5.1
CsPbI3 was prepared by solid‐state synthesis using mixtures of CsI and PbI2. All precursors were sourced from Merck in their maximum available purity (99.999%) and stoichiometric mixture was finely ground using an agate mortar and pestle inside an argon‐atmosphere glove box. The mixture was transferred into 10 cm silica quartz ampoules that were sealed under vacuum (10−3 Torr) using an oxygen‐methane torch. The sealed ampoules were transferred into a muffle furnace, heated at 2°C min^−1^ to 480°C and held for 5 h and cooled to room temperature at 1°C min^−1^. The as prepared CsPbI3 was deposited inside SWCNTs, supplied by NanoIntegris, with a specified diameter range of 1.2–1.7 nm according to a published melt protocol [38]. 10 mg of SWCNTs was oxidized in open air at 480°C before being intimately mixed in a mortar and pestle with separate 30 mg CsPbI3 before being placed in 10 cm ampoules sealed under vacuum (10−3 Torr). The CsPbI3 and SWCNT mixture was then heated to 525°C for a 12 h dwell period employing ramp rates of 2°C min^−1^ and cooling rates of 1°C min^−1^. The sample was ultrasonically dispersed in ethanol and drop‐cast onto 3.05 mm lacey carbon‐coated copper grids (Agar) for examination by electron microscopy.
A double‐corrected JEM‐ARM 200F microscope operating at 80 kV equipped with CEOS imaging aberration and probe correction for annular dark‐field scanning transmission electron microscopy (ADF‐STEM) investigations was used for high‐resolution analysis of the heterostructures after synthetization. ADF‐STEM images were obtained with a JEOL annular field detector with a fine imaging probe with a convergence semi‐angle of a 25 mrad, a probe current of 23 pA, and an inner angle of 45–50 mrad.
The picoperovskite filled SWCNTs were shipped in a vacuum sealed glass flask and later stored under ambient conditions. The source powder (filled CNTS/Bulk perovskite) was thinned out in an isopropanol solution and sonicated for several minutes. This helped loosen up big bundles of material. This colloidal solution was then dropped onto a cleaned Si/SiO2 substrate and treated in a spin coater for a few minutes. To identify fitting accumulations, the substrate with the thin film was then investigated using a fluorescence microscope to analyze the material distribution. The fabrication was considered successful if at least one spot could be identified with a good contrast of fluorescence, isolation of the bundle and reasonably straight orientation.
Absorption Spectroscopy
5.2
For the absorption spectroscopy, the source powder was dissolved in isopropanol (Merck, spectroscopic grade) in a fused silica cuvette (Hellma Analytics). To ensure constant concentration in the instrument probe beam path over the duration of the measurement (2 min), the dispersion was constantly stirred by magnetic stirrer. The measurements were carried out with a Specord 50 from Analytik Jena.
Steady‐State and Time‐Resolved Optical Characterization
5.3
For the steady‐state PL measurements, the sample was excited with a 3.06 eV (405 nm) continuous‐wave diode laser using a power of 10 μW, focused to a spot size of about 1 μm with a 50× long working distance objective. The sample was cooled to a nominal temperature of 6 K. The actual temperature of the sample can be higher. The PL light emitted by the sample was collected using the same objective, filtered through a 450 nm (2.755 eV) long‐pass filter, and analyzed with a combination of a spectrometer and a charge‐coupled device. To obtain the PL map of the sample (Figure 3), the cryostat, with the sample inside, was moved in relation to the fixed laser spot through a computer‐controlled xy stage. The polarization‐resolved measurements were achieved by placing a linear polarizer and an achromatic half‐wave plate (λ/2) in the excitation and detection beam path.
The time‐resolved PL was measured with the same laser setup, but a slightly higher excitation power at 30 μW and a repetition rate of 10 MHz. The temporal pulse width of the laser used in that power regime was around 50 ps, so the instrument response function was mostly defined by the detection, yielding a time resolution of around 500 ps (see the instrument response function in [27]). Here, the fundamental laser wavelength was filtered out by a 450 nm (2.755 eV) long‐pass filter, while the PL signal was measured through a commercial single photon avalanche diode using time‐correlated single photon counting electronics.
For the steady‐state Raman measurements, the sample was excited with a 532‐nm continuous‐wave diode‐pumped solid‐state laser using a power of 2 mW focused to a spot size of about 1 μm with a 100× long working distance objective. The Raman scattered light was collected by the same objective and filtered by 3 reflective volume Bragg gratings (BragGrate(tm) by Optigrate) with a central wavelength of 532 nm and analyzed with a spectrometer. For the polarization‐resolved measurements, a linear polarizer and an achromatic half‐wave plate (λ/2) were placed in the detection line.
Cryogenic Measurements
5.4
All optical measurements were performed in a flow cryostat with a temperature variability from 4 to 300 K. Inherent to this cooling technique, the sample was kept under a vacuum for the whole measurement time and thus protected from environmental degradation by oxygen and water. Between measurements, samples were kept in ambient conditions.
DFT Calculation
5.5
Density‐functional theory calculations were carried out using plane wave basis sets and ultrasoft pseudopotentials, as implemented in the Quantum ESPRESSO software package [33, 39]. For the isolated picoperovskite, a simulation cell consisting of two Cs3PbI5 units was constructed, with the two Cs vacancies located at their most stable positions, i.e., at opposite corners, as found previously for Cs−Pb−Br [11]. The details of the computation, such as cutoff energies, reciprocal space sampling, vacuum regions, and force and pressure thresholds, are the same as described in Ref. [11]. The combined picoperovskite CNT structure was constructed from five repeats of a (10,10) CNT and two Cs3PbI5 units. The simulation cell was fixed to the CNT value and the Cs3PbI5 units were relaxed within this cell. We note that building the cell in this way led to a relatively small strain on the picoperovskite, with the CNT cell having length 12.325 Å and the ideal vacuum cell of the picoperovskite having length 12.253 Å. After the relaxation, the band structures of the combined structure, and also of the isolated CNT and picoperovskite, were calculated. Note that the picoperovskite was not re‐relaxed after the CNT was removed, which leads to small differences in the band structures shown in Figure 6c.
Supporting Information
Additional supporting information can be found online in the Supporting Information section. Supporting Fig. S1: Amplitudes obtained by fitting multiple PL spectra with 1 s integration time under constant laser exposition performed on sample 1 for two different laser powers and a bulk sample for comparison. (a) absolute, (b) normalized values. Supporting Fig. S2: Composite XRD spectra of experimental and calculated CsPbI_3_. Supporting Fig. S3: (a) SEM micrograph of CsPbI_3_ particles, (b‐d) EDS elemental maps of the area in (a), (e) a typical EDS spectrum with Cs, Pb, and I labeled, used to produce the maps. Peaks at around 8 and 9 are from a copper grid. SEM micrograph. Supporting Fig. S4: (a) SEM micrograph of few CsPbI_3_ particles and (b) stacked columns representing their relative chemical composition of Cs (red), I (green), and Pb (blue) in atomic%. Supporting Fig. S5: Absorption spectra of a bulk (black line), a pico‐perovskite (red) sample and the unfilled CNTs (blue). The transparent area is the cumulative fit for the bulk (black) and the pico (red) perovskite. The vertical lines show the peak positions for the two interband transitions. Supporting Fig. S6: (a, b, c) Optical, Fluorescence, Dark field image of sample 1. (d, e, f) Optical, Fluorescence, Dark field image of sample 2 and 3. Supporting Fig. S7: (a, b, c) False color map of PL intensity extracted from a scan of the area marked by the boxes in Figure 6 on sample 1, 2 and 3. (d, e, f) Linescans obtained from the maps shown in (a, b, c) noted by the red and blue colored bars. Supporting Fig. S8: (a) Energy, (b) Amplitude and (c) FWHM of a PL temperature series for all 3 samples. Supporting Fig. S9: (a) Amplitude and (b) Lifetime from TRPL temperature series for all 3 different samples and the results from 1 Bulk sample at 4 K. Supporting Table S1: Lattice parameters of the measured CsPbI_3_ compared to well‐known lattice parameters (from I. Chung, et al. and D. B. Straus, et al.).
Author Contributions
Maximilian Tomoscheit: conceptualization (equal), data curation (lead), formal analysis (lead), investigation (lead), methodology (equal), visualization (lead), writing – original draft (lead). Julian Schröer: methodology (equal), resources (equal), writing – review and editing (supporting). Jaskaran Singh Virdee: data curation (equal), formal analysis (equal), investigation (equal). Rico Schwartz: conceptualization (equal), methodology (equal), resources (equal), writing – review and editing (supporting). Christopher E. Patrick: conceptualization (equal), investigation (equal), resources (equal), visualization (equal), writing – review and editing (equal). R eza J. Kashtiban: conceptualization (equal), investigation (equal), methodology (equal), resources (equal), visualization (equal), writing – review and editing (equal). Tobias Korn: conceptualization (lead), methodology (equal), resources (equal), software (equal), supervision (lead), writing – review and editing (lead). Stefan Lochbrunner: conceptualization (equal), methodology (equal), supervision (supporting). Steffen Wolter: conceptualization (equal), formal analysis (equal), investigation (supporting), methodology (supporting), visualization (supporting).
Funding
Deutsche Forschungsgemeinschaft (441234705), Engineering and Physical Sciences Research Council (2022‐2026(1029); EP/X035891/1).
Conflicts of Interest
The authors declare no conflicts of interest.
Supporting information
Supplementary Material
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