Introduction

Flexible electronics is becoming an emerging research field with a rapid growth rate due to their innovative applications in displays1,2, electronic skin3, and solar cells4, which accelerate the course of flexible materials. To date, such many flexible materials including metals5, inorganic materials6, 2D-materials7, organics8,9,10, and so forth, have been developed. Thereinto, organics show great promise in high-performance device applications owing to their extensive resource, tunable functions, and well processability. Flexible organic materials contain polymers10,11,12, liquid crystals13,14, and organic crystals15,16,17,18,19. Organic crystals especially display excellent performances owing to their ordered molecular packing. However, weak intermolecular interactions usually result in the rigidity and fragility of organic crystals20. Elastic organic crystals (EOCs) have been realized recently via ππ stacking and multidirectional halogen or hydrogen bonds21,22,23. The luminescent properties of EOCs play an important role in the applications of flexible devices. To date, series of EOCs with short-lived luminescence (≤1 ms) have been developed24,25,26,27. However, there still is no report on the flexible crystals with afterglow feature (>100 ms), although afterglow materials show superiority in optoelectronic with long-lived lifetimes25.

Ultralong organic phosphorescence (UOP) has attracted increased attention due to long-lived lifetimes and rich excited state properties28,29. Different from inorganic and organometallic phosphors30, purely organic luminescent materials with UOP features at room temperature are rare owing to the forbidden singlet-to-triplet transition and fast non-radiative decay of the excitons. Many rational strategies have been used to obtain efficient phosphorescence, for example, the introduction of carbonyl or halogen atoms to promote the intersystem crossing (ISC) and the construction of a rigid environment to suppress the non-radiative transitions31,32. To construct rigid environments, researchers have proposed several methods, including crystallization33,34,35,36,37, host–guest doping methods38,39,40, self-assembly41,42, and so on43,44,45. Crystal engineering is an indispensable method to reduce non-radiative decay by efficiently restricting molecular motions. Inspired by the requirement of the reversible deformation of crystals and efficient UOP, we reasoned that halogen atoms and π-conjugated phosphorescent chromophores will be suitable candidates as molecular structural units to construct elastic crystals (Fig. 1a). Meanwhile, the high phosphorescence efficiency can be achieved by introducing the halogen atoms to increase ISC (Fig. 1b).

Fig. 1: Schematic illustration of the elastic organic crystals with ultralong phosphorescence.
figure 1

a Design concept for elastic organic crystals. b Proposed mechanism of highly efficient ultralong organic phosphorescence. c Chemical structures of target molecules. d The fluorescence microscopy images of curving crystals from target molecules under UV on and off, the scale bars are 500 µm.

Results and discussion

Construction of EOCs with ultralong phosphorescence

To validate our hypothesis, we designed and synthesized a series of molecules, namely, 9,9′-(6-(4-chlorophenoxy)-1,3,5-triazine-2,4-diyl)bis(9H-carbazole) (DCz4Cl), 9,9′-(6-(4-bromophenoxy)-1,3,5-triazine-2,4-diyl)bis(9H-carbazole) (DCz4Br), and 9,9′-(6-(4-Iodophenoxy)-1,3,5-triazine-2,4-diyl)bis(9H-carbazole) (DCz4I) (Fig. 1c) via two-step reaction as shown in Supplementary Fig. 1. Their chemical structures were characterized by NMR spectroscopy (see Supplementary Figs. 27) and single crystal analysis. The purity of the target compounds was verified by high-performance liquid chromatography (HPLC) (See Supplementary Fig. 8) and elemental analysis (see Methods for more details). After slow evaporation in a mixture of dichloromethane and ethanol at room temperature, acicular crystals (length of 10–15 mm) of these three molecules are formed. Figure 1d displays fluorescence and afterglow microscopy images of these crystals, demonstrating that the obtained crystals have excellent elasticity and UOP characteristics. These crystals were subject to a manually mechanical test to assess their bending response. One end of the individual crystal was fixed with silicone grease, while the other end was pushed under stress with a pin (See Supplementary Figs. 911). All crystals bent into semicircle under mechanical stress without breakage and quickly regained its initial straight shape upon withdrawal of pressure. The reversible bending-relaxation phenomenon of all the crystals can be cycled many times (See Supplementary Movies 13), demonstrating the fatigueless and restorative character of these crystals. Elastic strains (ε) of these crystals were estimated by the equation ε = t/2 R, where R is the radius of curvature and t is the thickness of the crystal (See Supplementary Fig. 12 and Supplementary Table 1). The obtained ε values for DCz4Cl, DCz4Br, and DCz4I crystals are 3.99, 3.42, and 3.01%, respectively. The ε of these three crystals are higher than most of the reported EOCs (ε < 3%)46,47. Compared with the fluorescence microscopy images of crystals at straight state in Supplementary Fig. 13, the luminescence of crystals displayed no difference when they deformed into semicircle shape. As shown in Fig. 1d, the crystals of DCz4Cl and DCz4Br exhibited blue emission under UV light and weak yellow persistent luminescence after removing UV irradiation (See Supplementary Movies 4 and 5). Impressively, bright yellow emission can be observed from the DCz4I crystal before and after turning off irradiation (See Supplementary Movie 6), indicating that DCz4I may have high phosphorescence quantum efficiency (QE).

UOP and elasticity characterization of obtained EOCs

Firstly, we investigated the photophysical properties of these phosphors in both solution and crystal states. The profiles of absorption and photoluminescence spectra for these phosphors in the dilute tetrahydrofuran solution (1 × 10−5 mol L−1) were similar, revealing that the halogen substituents didn’t influence the emission in the single-molecule state (See Supplementary Figs. 1416). In the crystalline state, on 350 nm irradiation, these molecules have an intense fluorescent band in the range of 360 to 450 nm (Fig. 2a). Obvious phosphorescent emission peaks, after a delay time of 8 ms, appear around 530 nm with ultralong lifetimes of 526 ms for DCz4Cl, 307 ms for DCz4Br, and 268 ms for DCz4I (Fig. 2b, Supplementary Figs. 1722, and Supplementary Tables 23). The exponential decay in the logarithmic plot of the emission decay profile (See Supplementary Fig. 23) further confirmed that the emission with long-lived lifetimes of these crystals were originated from phosphorescence48. It is worth noting that the lifetimes of these three crystals became shorter after bending due to the change of the molecular packing mode (See Supplementary Fig. 24 and Supplementary Table 4). As the atomic mass of halogen substituents increases from Cl to I, the phosphorescence QE is enhanced gradually. It’s worth noting that ΦPh of DCz4I reached as high as 19.1%, 34 times over that of DCz4Cl (0.54%) (Fig. 2c). Excitation-phosphorescence mapping for DCz4Cl and DCz4Br crystals exhibited an obviously delayed fluorescence emission (Fig. 2d and Supplementary Fig. 25). The DCz4I phosphor has an intense and individual emission in crystal, belonging to phosphorescence, from 500 to 650 nm without emission peaks for delayed fluorescence (Fig. 2e). This comparison indicated that the iodine atom can effectively promote the ISC and boost triplet excitons. To uncover the high phosphorescence efficiency of DCz4I in crystal, the single crystal analysis, photophysical parameter calculations, and theoretical simulations were conducted. As shown in Fig. 3a, DCz4I crystal has dual C‒Iπ interactions with 3.547 and 3.571 Å distance. In contrast, there is only one bonding interaction between halogen atoms and adjacent molecules in DCz4Cl and DCz4Br crystals. Furthermore, the binding energy of C‒Iπ bonding in a DCz4I dimer, calculated by Gaussian 09, is 37.69 KJ/mol, larger than that of C‒HCl (12.43 KJ mol−1) and C‒HBr (20.43 KJ mol−1) (Fig. 3b). The high binding energy in DCz4I dimer promotes its heavy-atom effect for boosting triplet excitons. According to the formula derived in supporting information, the rate of intersystem crossing (kISC) and radiative decay (kr,P) can be calculated from fluorescence quantum yields, ΦPh, and emission lifetimes (See Supplementary Table 5). It was found that the kISC and kr,P for DCz4I crystal are faster than that of DCz4Cl and DCz4Br (Fig. 3c). As anticipated, the calculated SOC constants ξ (S1, T2) in the dimer of DCz4I (3.099 cm−1) is larger than that of DCz4Cl (0.033 cm−1) and DCz4Br (0.199 cm−1) (See Supplementary Figs. 26, 27). For DCz4I crystals, the smaller recombination energy means that there is a smaller structural change in the relaxation process of the excited state and non-radiative deactivation (See Supplementary Fig. 28). Taken the strong heavy-atom effect, kISC, ξ, and reorganization energy, DCz4I have an effective ISC, which is consistent with high phosphorescence QE.

Fig. 2: Photophysical properties of DCz4Cl, DCz4Br, and DCz4I in the crystalline state under ambient conditions (298 K).
figure 2

a Steady-state photoluminescence (gray dashed lines) and phosphorescence spectra (blue solid lines). b Lifetime decay profiles of the ultralong phosphorescence bands excited by optimum excitation wavelength. c The histogram of phosphorescence quantum yield. d Excitation-phosphorescence emission mapping of DCz4Cl crystals. e Excitation-phosphorescence emission mapping of DCz4I crystals.

Fig. 3: Mechanism investigation on the elastic organic crystals with ultralong phosphorescence under ambient conditions.
figure 3

a Interactions between halogen atoms and adjacent molecules in DCz4Cl, DCz4Br, and DCz4I crystals. Gray dashed lines represent C‒HN hydrogen bonds. Green, orange, and violet dashed lines represent C‒HCl, C‒HBr, and C‒Iπ bonding, respectively. b The absolute value of binding energy in DCz4Cl, DCz4Br, and DCz4I dimers calculated at the level of B3LYP/6-31+G*. c kr,P and kISC of DCz4Cl, DCz4Br, and DCz4I in the crystalline state under ambient conditions (298 K). d Molecular packing of DCz4I crystal viewed down the (011) plane. e Multiple intermolecular interactions (marked by a broken line) between one molecule and four neighboring ones.

We calculated the attachment energy of these crystals by Materials Studio 7.0 to ensure the molecular arrangements of crystals. The maximum attachment energy in DCz4I crystal is (200) face, indicating that the length direction of crystal is along a axis (See Supplementary Fig. 29 and Supplementary Tables 79). The bending process occurs on (011) plane which were the widest faces of the crystal perpendicular to the a axis. As shown in Fig. 3d, in this direction, the ππ interactions with a vertical distance of 3.493 Å construct molecular chains. In these molecular chains, the distances between molecular units were enlarged during the expansion process and compressed in the contraction process (See Supplementary Fig. 30)22, leading to the increases of non-radiative and decreases of lifetimes. The intermolecular C‒Hπ (2.881 and 2.893 Å) and C‒Iπ (3.547 and 3.571 Å) interactions have bonded the adjacent molecules between the molecular layers during the bending and releasing process (Fig. 3d), which can facilitate crystals return to their original state. A DCz4I molecule is connected with four neighbor ones by multi-directional and numerous intermolecular C‒Hπ, C‒Iπ, and C‒HO interactions along the crystallographic planes (Fig. 3e). These weak interactions act as a buffer for the bending of the crystal, preventing crystals from breaking46. With similar molecular arrangements and interactions (See Supplementary Figs. 3133), DCz4Cl and DCz4Br crystals all showed excellent elasticity. Our results demonstrate the impact of ππ stacking and halogen bonds on elasticity in crystals, providing guidance for the development of flexible crystals.

Anti-counterfeiting of flexible banknotes

On the basis of the high UOP efficiency and ultralong emission lifetimes of these elastic crystals, we further successfully demonstrated their potential in an anti-counterfeiting application for a flexible banknote. As demonstrated in Fig. 4a, the DCz4I crystal with high phosphorescent efficiency and elasticity has embedded beneath the letters “IAM” on a model banknote. The whole banknote emitted strong blue fluorescence under the irradiation of the UV lamp (365 nm). Bright yellow afterglow, emitting from the crystal, penetrated through the banknotes after turning off the irradiation (Fig. 4b). As the banknote bent under the applied force, the crystal deformed along with it. A curved crystal with intense persistent luminescence in banknote can last several seconds after switching off the UV lamp (Fig. 4c). Moreover, the micron wire can maintain its mechanical properties and phosphorescent properties after being bent many times. (See Supplementary Fig. 34) This unique elastic organic crystal with strong and long afterglow cannot be easily counterfeited, for the complete crystal in the banknote can be checked under the microscope. This showed the great prospect of elastic crystals with UOP in the practical application of banknote anti-counterfeiting.

Fig. 4: Demonstration of elastic crystals with highly efficient UOP for anti-counterfeit application of flexible banknotes.
figure 4

a The preparation process of anti-counterfeiting. A crystal of DCz4I was embedded into the banknote. b Photographs taken under UV on and off. c Photographs taken under UV on and off when the banknote was bent, the scale bars are 1.5 cm.

In summary, we have developed a series of EOCs with UOP through a valid design principle by adjusting halogen atoms. Crystals DCz4Cl, DCz4Br, and DCz4I show outstanding elasticity with elastic strains over 3%. Among them, DCz4I crystals demonstrated high phosphorescence QE (19.1%) under ambient conditions. Combing theoretical simulations and single crystal analysis, we speculated that infinite ππ stacking and halogen/C‒HX bonds between molecular layers sever as critical factors for the highly elastic deformation of crystals. Given the perfect combination of flexibility and afterglow feature, the crystal was applied to anti-counterfeiting of flexible banknotes. We believe that the present work will be a huge step forward in the development of flexible electronics and applications incorporating such elastic UOP molecular systems.

Methods

Reagents and materials

Unless noted, all reagents used in the experiments were purchased from commercial sources without further purification.

Measurements

Nuclear magnetic resonance (1H and 13C NMR) spectra were collected using Mercury-Vx-300 M Nuclear Magnetic Resonance. The chemical shift was relative to tetramethylsilane (TMS) as the internal standard. Resonance patterns were reported with the notation s (singlet), d (doublet), t (triplet), q (quartet), and m (multiplet). Gel filtration chromatography was performed using a Sun Fire TM C18 column conjugated to an ACQUITY UPLCH-class water HPLC system. Before running, each sample was purified via a 0.22 µm filter to remove any aggregates. The flow rate was fixed at 1.0 mL min−1, the injection volume was 1 µL, and each sample was run for 10 min. Tensile tests were carried out on the HY-0350 micro-control electronic material testing machine. Elemental analysis was characterized by instruments Germany Vario EL cube. UV-visible absorption spectra were measured by Shimadzu UV-1750. Steady-state photoluminescence, excitation, and phosphorescence spectra were measured using Hitachi F-4600 under ambient conditions. The lifetimes and time-resolved emission spectra of numerous crystals were obtained on Edinburgh FLSP920 fluorescence spectrophotometer equipped with a xenon arc lamp (Xe900), a nanosecond hydrogen flash-lamp (nF920), and a microsecond flash-lamp (µF900), respectively. To measure the lifetimes of a single crystal, the crystal was excited locally with a 360 nm LD pumped all-solid-state UV laser (Changchun New Industries Optoelectronics Tech, UV-FN-360, 50 mW) focused down to the diffraction limit. The excitation laser was filtered with a 400 nm notch filter. The light was subsequently coupled to a grating spectrometer (Andor, KY328i-B2) and recorded by a thermal-electrically cooled time-resolved CCD (Andor, DH334T-18U-03) with a delay time of 2 ms. Photoluminescence QE was collected on a Hamamatsu Absolute PL Quantum Yield Spectrometer C11347 under ambient conditions. X-ray crystallography was achieved using a Bruker SMART APEX-II CCD diffractometer with graphite monochromated Mo-Kα radiation at 293 K. Exposure time is 11 s and test time is about 2 h. The luminescent photos of stacked crystals were taken by a Canon EOS 700 D camera under ambient conditions. Fluorescence and afterglow images of one crystal were recorded using a Nikon DS-Ri2 Microscope Camera. The excitation source is a mercury lamp (Nikon INTENSILIGHT C-HGFI) equipped with a band-pass filter (330–380 nm for UV light).

The preparation of crystals

Needle-like crystals of these three molecules were prepared by slow evaporation in a mixture of dichloromethane and ethanol in a ratio of 4:1 at room temperature.

Computational details

For model systems, the DCz4Cl, DCz4Br, and DCz4I molecules were extracted from the crystal structure. The optimization of the T1 state was used B3LYP functional with mix basis set, DEF2-SVP basis set was used for H, C, N, and O atoms while LANL2DZ basis set for I atom. In the case of the dimer, the interaction between halogens and carbazole of a contiguous molecule was observed. We then turned to look at the low-lying excited state structure of dimer, including excitation energies and natural transition orbitals (NTOs) with a Time-Dependent Density Functional Theory (TD-DFT) approach. DEF2-TZVP basis set was used for H, C, N, and O atoms while X2C-TZVP all basis set for I atom at B3LYP/GEN level. The mixed basis set can be used with the GEN keyword. At the same level, the spin–orbit coupling (SOC) constants (ξ) of molecules between singlet and triplet states were given by Beijing Density Function (BDF) program. The binding energy was calculated using B3LYP with 6–31+G* basis sets used for H, C, N, and O atoms while SDD basis set for I atom at B3LYP/GEN level, respectively. The reorganization energy was calculated using B3LYP with 6–31+G* basis sets used for H, C, N, and O atoms while SDD basis was set for halogen atom at B3LYP/def2SVP level. The above results are calculated by Gaussian 09 package.