Summary
We present a coordination polymer based on rare-earth metal centers and carboxylated 4,4′-diphenyl-2,2′-bipyridine ligands. We investigate Y3+, Lu3+, Eu3+, and a statistical mixture of Y3+ with Eu3+ as metal centers. When Y3+ or Lu3+ is exclusively present in the coordination polymer, biluminescence from the ligand is observed: violet emission from the singlet state (417 nm, 0.9 ns lifetime) and orange emission from the triplet state (585 nm, 76 ms (Y3+) and 31 ms (Lu3+)). When Eu3+ is present in a statistical mixture with Y3+, red emission from the Eu3+ (611 nm, ) is observed in addition to the ligand emissions. We demonstrate that this multi-mode emission is enabled by the immobility of singlet and triplet states on the ligand. Eu3+ only receives energy from adjacent ligands. Meanwhile, in the broad inhomogeneous distribution of ligand energies, higher energy states favor singlet emission, whereas faster intersystem crossing in the more stabilized ligands enhances their contribution to triplet emission.
Subject areas: Optical Property of Matter, Polymers, Optical Materials
Graphical abstract

Highlights
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Coordination polymer exhibts nano-, micro-, and milli-second emission bands.
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Luminescence observed from ligand singlet and triplet states and lanthanide centers.
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Triluminescence is enabled by exciton immobility.
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Intersystem crossing is mediated by ligand environment.
Optical Property of Matter; Polymers; Optical Materials
Introduction
In most luminophores, light ceases to be emitted from the material almost immediately once the excitation light is switched off. Materials that show persistent room-temperature phosphorescence (RTP) emit light for a significant period (from seconds to hours) after the excitation source is turned off (Aitasalo et al., 2003) and have attracted great attention for their broad utility in optoelectronics (Zhao et al., 2019), including chemical and temperature sensing (Tang et al., 2013; Chen et al., 2015), bioimaging (Sun et al., 2018; Abdukayum et al., 2013), and anti-counterfeiting (Liu et al., 2018). Classic persistent phosphors include zinc sulfide doped with copper and cobalt (Hoogenstraaten and Klasens 1953; Shionoya et al. 2006), while a breakthrough was achieved by Matsuzawa et al. in 1996 by codoping the green-emitting phosphor SrAl2O4:Eu2+ with dysprosium, which led to bright persistent luminescence for several hours (Matsuzawa et al., 1996). The afterglow of these rare-earth-doped inorganic crystals is based on the thermal repopulation of the emissive sites from charge-trapping sites inside the crystal lattice (Matsuzawa et al., 1996; Bierwagen et al., 2020).
Another key result in the story of persistent phosphors was the 2006 development of the first organic compound to exhibit persistent luminescence at room temperature (Zhang et al., 2007). In organic materials, the persistent emission is based on a spin-forbidden transition from the triplet excited state to the singlet ground state of the molecule. For this emission, to be efficient the triplet state must be protected from oxygen and from relaxation through non-radiative pathways (vibrations). Beyond encapsulation of the materials, it has been shown that oxygen quenching can be suppressed by stabilizing the triplet state, for example, via H-aggregation (An et al., 2015) or stacking (J. Yang et al., 2018). Furthermore, incorporation of luminophores as ligands in metal-organic frameworks can stiffen the ligands, suppressing vibrational modes and associated non-radiative relaxation pathways, allowing RTP to be observed in a variety of organic luminophores (Yang and Yan, 2016). A second approach to achieving persistent emission in organic materials uses a blend of electron-donating and electron-accepting materials (Kabe and Adachi 2017). These separate the charge carriers held in the excited state created after photon absorption, with emission then being observed from the subsequent non-geminate recombination at timescales (Kabe and Adachi 2017). This second approach is somewhat equivalent to the charge carrier trapping and release/recombination in the organic materials.
Some materials can combine persistent luminescence with the more standard prompt luminescence (combine phosphorescence and fluorescence) and are referred to as biluminescent (Reineke et al., 2013). Materials exhibiting biluminescence provide access to novel applications and have been used to create re-writable luminescent images (Gmelch et al., 2019), organic light-emitting diodes with afterglow (Kabe et al., 2016), and anti-counterfeiting codes (Yang et al., 2020).
Herein, we present a coordination polymer based on rare-earth metal centers and carboxylated 4,4′-diphenyl-2,2′-bipyridine (CDB) ligands. The metal centers are chosen to be either trivalent yttrium, lutetium, and europium or a statistical mixture of Y3+ and Eu3+. In the case that non-optically active Y3+ or Lu3+ are exclusively present in the coordination polymer, only singlet and triplet emissions from the organic linker are observed, with the former on the nanosecond timescale and the latter on the milli-second timescale (similar to literature-known biluminescent materials). By introducing a statistical mixture of Eu3+ and Y3+ into the coordination polymer, in addition to retaining the two aforementioned luminescence mechanisms, a third mechanism for emission is added, namely, the microsecond emission of the Eu3+ center. This unique triluminescent compound exhibits three luminescent decay mechanisms with lifetimes on the nano-, micro-, and milli-second timescale, respectively. We note that recently also a triluminescent material was demonstrated by Gangwar et al. by admixing an upconverting Yb3+, Er3+-based phosphor (green emission), a down-converting Eu3+-based phosphor (red emission), as well as a downshifting zinc oxide phosphor (green emission) (Gangwar et al. 2018). However, due to the spectrally separated absorption bands of the three mixed emitters, this material requires a distinct excitation wavelength for each emission spectrum, and also, no time-resolved photoluminescence (TRPL) measurements were presented (Gangwar et al. 2018), which clearly delimits it from the triluminescent material presented here.
Results and discussion
Biluminescent coordination polymers
In order to observe both singlet and triplet emissions from the organic ligands in the coordination polymer, two requirements should be satisfied. Firstly, enough of the singlets (created after photo-excitation) should intersystem cross to the triplet state such that there is an appreciable population of the triplet state for emission to be observable. Secondly, the rate of the radiative transition from the excited triplet state to singlet ground state should be comparable to the non-radiative decay channel such that the triplet emission is observable.
In order to satisfy the first requirement, we choose the CDB as the ligand for the coordination polymer. The combination of the benzoate/phenylcarboxylate together with the bipyridine structural motive leads to a reasonable coupling between the singlet and triplet state manifold since the lone pair electrons promote transitions (Xu et al., 2016; Li and Li 2017). Furthermore, the close proximity to the rare-earth centers will significantly assist in the intersystem crossing (ISC), as well as in allowing the radiative transfer from the first excited triplet to the ground state. Support for this will be presented later in terms of the slightly different lifetimes of the triplet emission when the metal center is changed from Y3+ to Lu3+.
Figure 1A shows the chemical structure of the ligand, alongside a schematic showing the average stoichiometry of a repeat unit in the CDB coordination polymer's (amorphous) structure. The ligand to metal center ratio is 3:2 and the ligand to triethylammonium is 2:1 (determined by elemental analysis and NMR, see Figures S10 and S11 and supplemental information section ii, transparent methods: synthesis). As discussed in Figure S1, we hypothesize that a densely cross-linked 3D structure is created: the three binding sites per ligand allowing ligands to interact with metal centers in a variety of ways creating a wide variety of local environments for a ligand and the suppression of the ingress of oxygen into the material (Klinger et al., 2009; Gordon and Ravve 1980) (consistent with the photophysical data presented following). We also note that the geometry of two ligands that are bound via their central bonding site to a metal center should exhibit a dihedral angle between the two planar ligand fragments of about 89°, as determined for an analogous linker lacking the two carboxylic groups at the terminal positions (Kruck et al., 2019).
Figure 1.
Structure and room-temperature phosphorescence of the Y3+-based coordination polymer
(A) Biluminescent CDB coordination polymer based on Y3+ metal centers, illustrating the ligands and amorphous structure of the CDB coordination polymer.
(B) Illustration of biluminescence from frames of a video recording the PL emission at 295 K.
(C) Time-resolved PL emission intensity at 295 K and 5 K.
In order to satisfy the second requirement, the similarity of radiative and non-radiative rates from the triplet state, we postulate that as in metal-organic frameworks (Wei et al., 2014; Ma et al., 2017) and covalent organic frameworks (Li et al., 2018), the rigidification of the ligands upon incorporation into the extended covalent framework will suppress the non-radiative vibrational relaxations of the triplet excited state to such an extent that RTP becomes observable. Also, as mentioned above, the heavy-atom effect of the neighboring metal centers should assist in increasing the radiative coupling between the excited triplet state and the singlet ground state.
Confirming our expectations, biluminescence is indeed observed from the Y3+-based CDB coordination polymer. This is visually introduced in Figure 1B, wherein both the prompt nanosecond luminescence and delayed phosphorescence from the sample after excitation are visible (excitation was with a quasi-continuous wave modulated diode laser at 405 nm, 0.1 W cm−2, 0.2 Hz, and 10% duty cycle, and the prompt emission saturates the camera so that the delayed luminescence is easily seen). The extracted video frames (captured with a smartphone) demonstrate that the RTP is bright enough to see by eye.
Figure 1C then shows the TRPL kinetics of the samples at room temperature and 5 K measured by multi-channel scaling (see the experimental section, time resolution: 0.128 μs) and a mobile phone camera (30 fps), respectively. The nanosecond decay of the singlet state is registered as the sudden decay after the excitation light is switched off during which the intensity drops to roughly 0.3 of its initial value for the room temperature experiment. This fraction is slightly higher for the low-temperature experiment, as the yield of triplet states created by ISC will slightly increase at low temperature since the competitive rate of non-radiative recombination of the singlet is suppressed. Importantly, the lifetime of the triplet emission is 76 ms and 720 ms at room temperature and 5 K, respectively, determined by the monoexponential fits shown in Figure 1C. Making the standard assumption that the quantum yield of emission from the triplet state is 100% at 5 K, the order of magnitude reduction in the lifetime from 5 K to room temperature suggests that the photoluminescence quantum yield (PLQY) of a triplet state (once it is formed) is around 10% at room temperature. However, in order to get the total PLQY of the triplet state per absorbed photon at room temperature, this 10% must be multiplied by the probability that one of the initially created singlet states undergoes ISC to form the triplet.
Despite the triplet nature of the delayed emission, its intensity and lifetime are not sensitive to oxygen. To test this, we placed a powder of the Y3+-based CDB coordination polymer that was stored in ambient air for several weeks into a vacuum chamber. We first measured the photoluminescence (PL) transient before starting the vacuum pump and remeasured after the sample was exposed to dynamic vacuum with pressures below mbar for 1 hr and 24 hr (see Figure S2). No change in lifetime between the sample measured under vacuum and the sample stored in air for long periods was observed. This is consistent with results on metal-organic frameworks (Yang and Yan, 2016) and densely packed organic crystals (J. Yang et al., 2018), which exhibit bright RTP in air.
In order to gain a deeper understanding of the biluminescence of these samples, we study the gated PL and lifetime of CDB coordination polymers based on both Y3+ and Lu3+ as shown in Figure 2. In Figure 2A, we present the time-integrated PL (steady-state PL) and compare it to the gated PL collected from 0.1 ms to 250 ms after excitation. The fluorescence spectra of both CDB coordination polymers peak at 417 nm, and further peaks are visible on the low energy side as discussed later. In contrast, the phosphorescence spectra are featureless and centered around 585 nm. The energy difference between the singlet and triplet energy is therefore around 0.85 eV, reasonable for an organic chromophore.
Figure 2.
Biluminescence of the Y3+-based and Lu3+-based coordination polymers
(A) Steady-state PL and gated PL (0.1 ms to 250 ms) spectra under 350 nm and 420 nm excitation, respectively.
(B) PL kinetics collecting photons at 600 nm.
(C) Steady-state and gated (0.1 ms to 250 ms) excitation spectra collecting photons at 410 nm and 600 nm, respectively.
The TRPL results measured with multi-channel scaling for the Y3+- and Lu3+-based CDB coordination polymers are shown in Figure 2B. Interestingly, the triplet lifetime depends on the metal center, with the longest-lived tail of the Lu3+-based material having a lifetime of 31 ms, whereas the lifetime of the Y3+-based material is 76 ms as previously determined. This difference in triplet lifetime is evidence that the interaction of (at least a subset) organic ligands with the particular metal center in the CDB coordination network affects their spin dynamics. The singlet lifetime of the lower energy emissive states (measured by streak camera, Figure S3), on the other hand, remains constant at 0.8 ns. We note that the distribution of ligand environments for triplet states would lead to the decay not being purely monoexponential. The fact that triplet decay is well expressed by a single exponential after 0.05 s is consistent with the other photophysical evidence that triplets are created preferentially at a subset of lower energy sites that are relatively similar to one another.
Finally, Figure 2C depicts the excitation spectra of the two samples for the fluorescence and phosphorescence emission spectrum. Firstly, the fluorescence PL intensity at 410 nm is monitored. This PL reaches a maximum intensity for an excitation wavelength of 350 nm. Secondly, the phosphorescence PL intensity at 600 nm in a gated measurement is measured as a function of the excitation wavelength. In this case, the peak emission is observed when the excitation wavelength is 420 nm (well within the emission of the singlet). The two separate absorption bands that lead to the singlet and triplet emission suggest that separate (absorbing) states contribute differently to the prompt emission (measured at 410 nm) and the delayed emission.
We hypothesize that there is a significant energetic disorder in the amorphous CDB coordination polymers, due to differing numbers and distances of nearest metal centers to individual ligands. This suggestion of a large inhomogeneous energetic disorder is strongly supported by the observation that the steady-state emission spectrum shifts strongly as the excitation wavelength is scanned (Figure S4). This suggests that many subsets of the ligand population exist, with absorption and emission spectra that are stabilized by varying amounts depending on their local environment. The low energy features on the very broad singlet PL band observed in Figure 2A are most likely (at least partially) due to this inhomogeneous broadening. The triplet emission is strongest from the most stabilized states, potentially because ISC is the fastest in these due to their stronger interaction with metal centers. This interpretation is supported by the anomalous decrease in the PL lifetime for longer emission wavelengths (see Figure S8). The atypical decrease in the lifetime of the lower energy states with respect to the higher energy states confirms that singlet migration is not efficient in this material (otherwise the lifetime of the lower energy states would be increased by migration of energy from the higher energy states). Furthermore, the shorter lifetime of the lower energy states is consistent with increased ISC due to the stronger interaction with the metal centers.
We note that this situation differs slightly from the effects of crystallization exploited to engineer RTP from purely organic luminogens. For these organic compounds, the relative stacking of molecules is of utmost importance for enabling efficient reverse intersystem crossing (RISC) (Li and Li 2017; Hamzehpoor and Perepichka 2020). For these purely organic crystals, the increase of the singlet lifetime due to a decrease in the radiative rate caused by H-aggregation in the crystal form enhances the fraction of singlets that can undergo ISC and ultimately lead to RTP. However, if H-aggregation were to play a major role in triplet generation in our material, we would expect the lifetime of the lower energy states (those from which triplets are most efficiently created) to be longer than the higher energy states. Given the contrary is true that the lower energy states are shorter lived, we conclude that the enhanced RTP in our materials is not related to H-aggregation in the coordination polymer. However, similar to the organic crystals and previous work on metal-organic frameworks, the suppression of non-radiative relaxation due to increased rigidity of the linkers in the framework will be favorable for RTP (Li and Li 2017; Zhao et al., 2019).
Returning to the consideration of our material, the dependence of the singlet versus triplet yield on the site energy means that the ratio of the prompt to delayed emission can be varied by selecting the excitation wavelength. To gain an indicative value for the efficiency of the emission, we measure the PLQY of the total emission from the ligand after excitation at 405 nm. The PLQY is low at only 1% and, in conjunction with reasonable lifetimes, suggests that there may be a significant portion of static quenching by quenching sites. Those quenching sites for the ligands' luminescence might stem from the energetic disorder in the coordination polymer, and only a small subset of the ligands that are not adjacent to such quenching sites participate in emission.
Triluminescent CDB coordination polymers
As demonstrated in the previous section, CDB coordination polymers utilizing Y3+ and Lu3+ are biluminescent materials with ligand-based emission on the ns timescale (fluorescence) and ms timescale (phosphorescence). In the following, we investigate the possibility of adding a third decay component in the μs range by codoping the Y3+-based CDB coordination polymer with optically active Eu3+.
In Figure 3 steady-state PL spectra as well as PL kinetics of the Y3+-based CDB coordination network with different amount of Eu3+ doping are illustrated (0–50% of the Y3+ replaced by Eu3+). For the PL spectra (see Figure 2A), the sample is excited at 350 nm. The distinct red transitions of Eu3+ are clearly visible in all Eu3+-doped samples (with the most prominent transition at 610 nm). The organic ligand can act as a sensitizer of the Eu3+ emission. The singlet energy from a ligand can be transferred to a Eu3+ acceptor. The distance a singlet exciton can travel, hopping between ligands, can be estimated by a Stern-Volmer analysis of the quenching of the ligand singlet PL as a function of the Eu3+ doping concentration. Such an analysis (see section sii, transparent methods: Stern-Volmer analysis for further details and experimental data) reveals that the singlet state moves at maximum around 1 ligand length, suggesting singlet hopping between ligands does not occur. This suggests that only singlet excitons created in the direct vicinity of Eu3+ are quenched. Analysis of the PL lifetime of the singlet exciton as a function of Eu3+ confirms this. Although the magnitude of the singlet PL is decreased by the addition of Eu3+, the lifetime of the PL remains constant (see Figure S7). Thus, singlet excitons created outside the immediate vicinity of a Eu3+ ion are not affected by its presence. They cannot migrate between ligands and therefore are not quenched.
Figure 3.
Triluminescence of the Y3+-based coordination polymer by doping with Eu3+
(A) Steady-state PL spectra as a function of the Eu3+ concentration. The excitation is at 350 nm, and each spectrum is normalized to the area under the curve. Fluorescence and phosphorescence from the ligand are observable alongside the characteristic longer wavelength Eu3+ emission.
(B) Excitation at 405 nm and collection at 630 nm.
(C) Averaged PL lifetimes of the Eu3+ emission at 610 nm extracted from biexponential fits to the PL kinetics shown in Figure S6. The error bars are based on the standard deviation of five measurements at different sample positions.
Figure 3B demonstrates that the triplet quenching is also only static. Although the amount of the delayed emission is reduced, its lifetime is not. Thus, not all of the excited states transfer to the Eu3+ complex but only those that are created in the direct vicinity of a Eu3+ metal center. This means that both the singlet and triplet emissions (from ligands near only Y3+ metal centers) remain observable at the same time as the new 610 nm emission from the Eu3+ center.
Figure 3C shows the Eu3+ emission lifetime as a function of the Eu3+ doping concentration in the material. The lifetime decreases from 820 μs at low Eu3+ concentrations to 500 μs at higher concentrations. This is consistent with the following: (i) concentration quenching due to killer sites and (ii) our previous discussion of disorder in these amorphous materials, with certain Eu3+ sites likely having fast non-radiative decay channels due to their local environment (potentially dangling bonds). Once the Eu3+ concentration becomes high enough that energy transfer between Eu3+ ions to these inefficient sites becomes possible, then the Eu3+ lifetime (and emission efficiency) will start to decrease.
The PLQY of only the Eu3+ emission as a function of Eu3+ concentration after exciting the ligand at either 300 nm or 405 nm is shown in Figure S5. The PLQY increases with increasing Eu3+ concentration, as a greater fraction of the excited ligands can transfer their energy to a Eu3+ center. Only at the highest Eu3+ concentration does the PLQY again fall, due to the aforementioned reduction of lifetime due to killer sites negating the effect of increased energy transfer from the ligands. The PLQY of the Eu3+ emission is in the range of 2%–15%, depending on the excitation wavelength and Eu3+ concentration. This is superior to the ligand PLQY alone, suggesting that energy transfer from linkers to adjacent Eu3+ ions is fast, and can outcompete the transfer to an adjacent killer site.
Conclusions
We have developed a sequence of CDB coordination polymers based on Y3+, Lu3+, and a statistical mixture of Y3+ and Eu3+ metal centers. We demonstrated that biluminescence from the ligand can be achieved in the coordination polymers based on Y3+ and Lu3+. Herein, a singlet emission with a lifetime of 0.9 ns and peak wavelength of 417 nm is observed, alongside a triplet emission whose peak wavelength is shifted to 585 nm and has a room temperature lifetime of 76 ms for the Y3+-utilizing material and 31 ms for the Lu3+ case. At 5 K, the triplet lifetime in the Y3+ material is extended to 720 ms. Furthermore, we show that by utilizing a statistical mixture of Y3+ and Eu3+ for the metal centers, the two above mentioned modes of luminescence can be retained and a third luminescence mode added, namely, the narrow-band emission from the Eu3+ ion centered at 610 nm. This has a lifetime varying between 700 ms and 500 ms, with the lifetime decreasing to the latter value as the fraction of the metal centers occupied by Eu3+ reaches 50%.
The physical mechanisms underlying the ability of this material to sustain these 3 modes of fluorescence are (1) inhomogeneous disorder in the ligand energies and (2) immobility of ligand singlet and triplet states. The immobility of the singlet and triplet states on the ligand means that the Eu3+ metal centers only receive energy from ligand singlet states in their direct vicinity. Singlet and triplet states created further away from the Eu3+ center are not affected at all; their lifetime and emission are unaffected by the presence of the Eu3+. The lower energy ligand states that are more stabilized by interaction with Y3+ or Lu3+ metal centers exhibit faster ISC and therefore contribute more to the triplet emission from the material. Singlet emission is preferential for the higher energy ligand states, which, again due to the lack of singlet motion in these materials, cannot transfer their energy to shorter-lived lower-energy ligand states.
Thus, we demonstrate that coordination polymers based on rare-earth metal centers and appropriately chosen organic linkers allow novel materials to be made that display three unique luminescent emissions with lifetimes on the nano-, micro-, and milli-second timescale, respectively. While the biluminescent material could be used for smartphone-based temperature measurement due to its long PL lifetime, the unique signature of the PL kinetics of the triluminescent material is a promising feature for its application as an advanced anti-counterfeiting label.
Limitations of the study
This initial study demonstrates the feasibility of generating biluminescent and triluminescent materials based on coordination polymers with rare-earth metal centers. This first generation of material is amorphous, leading to a high degree of energetic disorder caused by the varying local environments for individual ligands (and rare-earth ions). Designing covalent organic frameworks with defined structures and similar ligands would be an avenue to study the photophysics of the linker and lanthanide emission with better defined energy levels. This could be an important route to increase the currently low PLQY of only 1% from the ligand emission.
The significant change of the triplet emission's lifetime from room temperature to 5 K indicates that there is still a high potential (factor of 10) for increasing the brightness of the persistent luminescence part of the emission of the coordination polymer at room temperature by suppressing non-radiative decay channels. Here, a possible direction would be to further rigidify the organic ligand by exchanging the bonds between dipyridine and phenyl units in a fluorene-type manner or to explore crystal engineering strategies to further reduce the vibrational freedom of the linkers (Yang et al., 2018).
Applications were not explored in this first proof-of-principle study. However, based on further development of adjustable disparate lifetimes and intensity ratios in a single material, potential applications as a photonic dye for luminescence imaging, sensing, and anti-counterfeiting could be considered. In order to pave the way for such applications, development of nanoparticles of these triluminescent materials would be a promising approach.
Resource availability
Lead contact
Further information and requests for resources should be directed to and will be fulfilled by the lead contact, Ian Howard (ian.howard@kit.edu).
Material availability
This study did not generate new unique reagents.
Data and code availability
The data that support the findings of this study are available from the corresponding author upon reasonable request.
The study does not use any unpublished custom code, software, or algorithm that is central to supporting the main claims of the paper.
Methods
All methods can be found in the accompanying transparent methods supplemental file.
Acknowledgments
The authors thank the Helmholtz Association (HEMF, B.S.R recruitment initiative), the DFG (SPP 1928 including grant numbers: SE 1448/7-1 and TU487/2-1), and the Karlsruhe School of Optics and Photonics (KSOP) graduate school for financial support. B.S.R. thanks the Helmholtz Program MTET for financial support.
Author contributions
Conceptualization, M.J., I.A.H., A.T., and M.S.; Synthesis, C.B., and M.S.; Methodology, M.J. and C.B.,; Investigation, M.J. and P.N.; Writing—Original Draft, M.J. and I.A.H.; Writing—Review & Editing, all authors; Funding Acquisition, B.S.R., I.A.H. A.T. and M.S.
Declaration of interests
Subsequently to this work P.N. became affiliated with Innovation Lab GmbH, Speyerer Strasse 4, 69115 Heidelberg, Germany.
Published: March 19, 2021
Footnotes
Supplemental information can be found online at https://doi.org/10.1016/j.isci.2021.102207.
Contributor Information
Michael Seitz, Email: michael.seitz@uni-tuebingen.de.
Andrey Turshatov, Email: andrey.turshatov@kit.edu.
Ian A. Howard, Email: ian.howard@kit.edu.
Supplemental information
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Associated Data
This section collects any data citations, data availability statements, or supplementary materials included in this article.
Supplementary Materials
Data Availability Statement
The data that support the findings of this study are available from the corresponding author upon reasonable request.
The study does not use any unpublished custom code, software, or algorithm that is central to supporting the main claims of the paper.



