Introduction

Due to the urgently increased demand in the areas of optoelectronic devices, energy conversion, luminescence sensors, bioimaging, disease diagnosis, and photodynamic therapy, luminescent materials with multiple emission capabilities across a wide wavelength range, e.g., from visible to near infra-red (NIR), as well as with tunable excitation/emission wavelengths have drawn rapidly increased attentions from researchers working in the subjects including but not limited to chemistry, physics, materials, and biology1,2,3,4. However, these materials are typically restrained within inorganic compounds such as metal-containing inorganic complexes particularly rare earth luminophors where the emissions usually come from the ff or df electron transitions5,6, or quantum dots whose size-dependent multiple luminescence emissions originate from the d-d electron transitions. Unfortunately, the emission wavelengths of rare earth luminophors is very difficult to manipulate due to the shielding effect from exterior orbitals and the fixed energy levels of the rare earth ions while quantum dots suffer from both high toxicity of the heavy metals and environmentally sensitive emissions in the NIR region, which have prevented them from even wider applications. On the contrary, organic luminophors are more desired due to their competitive advantages such as arbitrarily tunable molecular structures and chemical compositions, easy for functionalization and scalable synthesis, and promising potentials to satisfy biomedical related and especially flexible electronics-oriented expectations.

Fluorescence emissions of organic luminophors are closely connected with their multiple electronic configurations and/or structures between the electronically ground (S0) and excited (S′) states. Many strategies including but not limited to excited-state cis-trans isomerization7,8, proton-transfer tautomerism911, ring opening/closure isomerization12, geometry planarization13, and twisted intramolecular charge transfer14, have been employed to create multiple energy levels between S0 and S′ to generate multiple luminescence emissions. However, these methods are more effective in solution conditions and not working well in solid state because of the molecular aggregation-induced rigidified configuration, which does not favor multi-emissions with plausible efficiency. What is more, solid-state organic luminophors usually suffer from aggregation-caused emission quenching (ACQ) due to the large π−conjugation system formed15. Therefore, it remains an open challenge to obtain multi-emissions from organic luminophors in their solid state.

As a star molecule, BODIPY (4,4-difluoro-4-bora-3a,4a-diaza-s-indacene) dyes have been heavily investigated for bio-sensing and bioimaging thanks to their excellent luminescence performance in diluted solution state16,17,18. Since most BODIPYs suffer from ACQ, further manipulations such as decorating the classical BODIPY core (BDP) with bulky groups19, asymmetrization of BDP20,21, and aggregation-induced emission (AIE) are usually involved to achieve solid-state emissions and satisfy various requirements22,23,24 while less attention has been paid on the fluorescence properties of BODIPYs in their aggregated state. Recent studies have shown that, contrast to their non-emissive H-aggregates25, J-aggregates26 of BODIPYs gave red-shifted emissions compared with their respective monomers in solution. For example, Johansson et al. evidenced the first formation of emissive J-dimers of BODIPYs in lipid vesicles27 while Kim et al. and Chiara et al. demonstrated J-aggregation induced enhanced emission of BODIPYs28,29,30. Most importantly, J-aggregation of BODIPYs has provided a potential platform to achieve multi-emissions at longer wavelength, as reported by Jung31, Harriman32, and Yamamoto33, respectively, where the green and red emissions from both monomer and J-dimer of BODIPYs in solid state have been obtained. However, in most cases only the emissions from J-dimer is seen and the multi-emissions is usually limited within the visible range while no report on other formats of BOIDPYs such as trimer or even larger J-aggregates in solid state26,27,28,29,30,31,32.

Herein, we report that besides the yellowish green fluorescence emission of BOIDPY monomers in solution, microcrystalline powder of 2- and/or 6-aryl substituted BOIDPY (BDP1 to BDP6) can generate significantly wide range of multi-emissions across red and NIR, particularly that they can be excited by light at multiple wavelengths (Fig. 1). Temperature-dependent and time-resolved fluorescence spectral results have suggested that J-aggregates with successively distributed and step-wisely lower-located energy levels are formed in the solid-state BDP1 to BDP6, which facilitates Domino-like energy transfer at their respective excitation states. Moreover, the consistent quantum chemical calculation results on molecular packing modes have not only rationalized the above experimental phenomena, but also provided further guidance for our future working effort.

Fig. 1
figure 1

Structural details and fluorescent properties of BDP1. a Molecular structure of BDP1. b Molecular packing diagrams of BDP1 at room temperature extracted from single crystal XRD data. c Normalized photoluminescence (PL) spectra of BDP1 in solution (green curve) and microcrystalline powder state (red and gray curves)

Results

Crystal structure

Analysis of the X-ray diffraction (XRD) data (Supplementary Fig. 1) of single crystal BDP1 indicates that the indacene plane is planar (Fig. 1a) and the dihedral angles between 2- and 8-phenyl substituents and indacene plane are 46.1o and 83.7o, respectively, suggesting that 2-phenyl ring has relatively better conjugating contribution to the indacene plane than that of the 8-phenyl ring (Supplementary Fig. 1). The boron atom in BDP1 adopts a classical tetrahedral geometry within a six-membered ring (Fig. 1a), which shows a head-to-tail arrangement of boraindacene planes with adjacent 2-phenyl units interacted with a slipping angle (θJ) of 38.24o at room temperature (Fig. 1b). This is a typical feature for J-aggregates with long-range ordered structures25,27,28,29,30 and the average vertical distance between parallel aromatic planes (DJ) is 3.78 Å, leading to commendable intramolecular electronic interactions (Fig. 1b). The distance between BDP1 molecules was efficiently condensed at lowered temperatures due to the decreased molecular thermal vibration and θJ and DJ continuously decrease from 38.57o, 3.84 Å at 397 K to 38.04o, 3.71 Å at 187 K, until 37.87o, 3.68 Å at 87 K (Supplementary Fig. 2 and Supplementary Table 1).

Photophysical property

BDP1 in tetrahydrofuran (THF) solution (1 × 10−5 mol L−1) exhibits strong fluorescence emission at 552 nm (Fig. 1c). The 42 nm red-shift compared with that of BDP without the 2-phenyl ring at λem = 510 nm (Supplementary Fig. 3) suggests efficient conjugation between 2-phenyl ring and BDP frame in BDP1 molecules15,34, which agrees well with the small dihedral angles between 2-phenyl ring and indacene plane extracted from the single crystal XRD data (Supplementary Fig. 1). More intriguingly, multi-emissions of BDP1 in the powder of microcrystalline state at 605, 768, 868, and 976 nm (Fig. 1c) across red and NIR with decent fluorescence intensity (Φf = 0.1) were observed under single-wavelength excitation (485 nm). The multi-absorption bands of BDP1 (Supplementary Fig. 4) implies the existence of multi-excitation states corresponding to multiple energy levels, that is, the J-aggregates. For example, multiple excitation bands at 574, 680, and 749 nm are observed if 860 nm is fixed as the emission band (Supplementary Fig. 5), which not only proves the multi-wavelength excitation feature but also suggests the existence of multiple J-aggregates in BDP1 with according excitation states. Indeed, upon excitations at 460, 600, 680, and 749 nm, multi-emission bands in the region of 550−1100, 700−1100, 700−1100, and 800−1100 nm can be routinely obtained (Supplementary Fig. 6), respectively. The identical emission bands appeared when excited by light at different wavelengths implies the existence of cascaded multiple excitation energy levels, which corresponds to the multiple J-aggregates formed in the powder of microcrystalline BDP1. Apparently, the continuous multi-emissions ranging from visible to NIR region are due to the successive energy transfer from high to step-wisely lower-located energy levels. Such sequential energy transfer behaves just like the falling row of dominoes and the characteristic Domino-like multiple fluorescence emission is principally different from those seen in rare earth luminophors or quantum dots that has fixed or size-dependent energy levels.

BDP1 exhibits absorption maxima (λmax) at 525 nm with a shoulder peak at 486 nm (Fig. 2a) and the strong maximum fluorescence emission (Fmax) at 552 nm in THF solution with quantum yield close to unity (Φf = 0.92). The small Stokes shift (27 nm) and high ε (8.09 × 104 M1 cm–1) are typical characteristics of BODIPY dyes, which assures high value of the Förster radius (50 ± 2 Å) for efficient energy transfer between each molecule (Homo-FRET)26,35. The position and intensity of both absorption and emission of BDP1 in other solvents with different polarities remain almost unchanged, suggesting the single molecular fluorescence behavior and no formation of J-aggregates in those solvents (Supplementary Fig. 7).

Fig. 2
figure 2

Photophysical properties of BDP1 in THF and THF/water mixtures. a Absorption and emission spectra of BDP1 in THF at 1 × 10−5 mol L−1. b Absorption and c, d emission spectra of BDP1 in THF/water mixtures with varied volumetric fractions of water (fw)

However, when water as a poor solvent was added into THF solution of BDP1 at varied volumetric factions (fw), the absorption maxima at 525 nm kept decreasing when fw increases from 0 to 60% (Fig. 2b). It then decreased tremendously and became broadened at fw of 70% where the 525 nm peak became undistinguishable. Moreover, the shoulder peak at 486 nm emerged and co-existed with a new peak at 540 nm until fw is at 99%. In the meanwhile, the fluorescence emission band at 552 nm became dramatically weakened when fw reaches 30, 50, and 60% (Supplementary Fig. 8) and then new peaks at 600, 750, 850, and 930 nm appeared at fw of 70–99% (Fig. 2c, d). This suggests that J-aggregates with multi-excitation states corresponding to the above emission peaks are starting to form at fw of 70%, which is reasonable because BDP1 has poor solubility in water and more and more aggregates are formed at continuously increased value of fw22. However, rather than ACQ, it is exciting to see that the J-aggregates formed at different values of fw are responsible for the above multiple and wide-range fluorescence emissions. The weakened and slightly blue-shifted emissions observed in Fig. 2c, d compared to those in microcrystalline powder (Fig. 1c) can be rationally attributed to the relatively poor packing order of BDP1 molecules in THF/water.

To further disclose the multi-emission behavior of BDP1 at different aggregation states, PMMA films doped with BDP1 at varying concentrations have been prepared. Fig. 3a shows that there is only one strong fluorescence emission with Fmax at 552 nm with the BDP1 concentration (cBDP1) of 2.5 × 10−3 mol L−1, which agrees very well with that of BDP1 in THF solution (Fig. 2a) and suggests no aggregation of BDP1 molecules at such low concentration. However, when cBDP1 reaches 2.5 × 10−2 mol L−1, four new emission bands appeared at 580, 730, 817, and 915 nm. The emission band at 552 nm becomes continuously weakened along with the strengthened fluorescence intensity at 585, 735, 821, and 919 nm when cBDP1 was further increased to 1.0 × 10−2 mol L−1. This indicates that BDP1 molecules start to form J-aggregates at cBDP1 of 2.5 × 10−2 mol L−1 and meanwhile free molecules are gradually depleted, which also explains why the fluorescence emission at 552 nm kept weakening and became almost disappeared at 2.5 × 10−2 mol L−1. Likewise, further increase of cBDP1 to 3.0 × 10−1 mol L−1 causes even more red-shifted fluorescence emissions at 598, 742, 833, and 931 nm. The continuous red-shift of the above emissions at increased cBDP1 suggests improved packing order of BPD1 molecules in the aggregates that is more and more alike the case in the microcrystalline state shown in Fig. 1c, which is also exactly the same phenomenon observed at increased value of fw in Fig. 2c, d. Although with much lower intensity, it is worthy to point out that the emission band at 598 nm in PMMA film could be associated with that of 605 nm in the microcrystalline state in Fig. 1c, so do the bands at 742, 833, and 931 nm in Fig. 3a to those at 768, 868, and 976 nm in Fig. 1c, respectively. In other words, although the packing mode of BDP1 molecules in PMMA film is not as perfect as that in the microcrystalline state, it is getting better at increased doping concentrations as reflected by the gradually decreased blue-shift at increased cBDP1 (Fig. 3a), comparing with the peaks seen in Fig. 1c.

Fig. 3
figure 3

Fluorescent properties of aggregation-state BDP1. a Normalized fluorescence emission spectra of PMMA films prepared at different doping concentrations of BDP1. b, c Temperature-dependent emission spectra of microcrystalline powder state BDP1 collected from 97 to 497 K, excited at 480 nm. d Plots of normalized emission intensity changes of the multi-emissions at varying temperatures

Temperature-dependent fluorescence studies of microcrystalline BDP1 have shown that the intensity of the major band at 605 nm keeps decreasing at increased temperature while the shoulder bands at 588 and 643 nm become unidentified at temperatures higher than 217 K (Fig. 3b). In the meanwhile, the intensity of 768 nm emission increases until reaching its maximum at 177 K and then starts decreasing at further elevated temperatures (Fig. 3b). Similarly, the increase prior to decrease of the fluorescence intensities are also seen in the emissions at 868 and 976 nm (Fig. 3c) at temperatures of 217 K, respectively. The temperature-dependent intensity variations of the according fluorescence emissions are plotted in Fig. 3d where the intensity of the emission bands at 588, 605, and 643 nm decreases monotonously while those at 768, 868, and 976 nm experience a slight increase at 97–177 K for 768 and 97–217 K for 868 and 976 nm emissions, respectively, followed by a similar monotonous decrease. As is well documented, the fluorescence emission usually decreases at elevated temperatures for organic luminophors due to the enlarged θJ and DJ as well as increased thermal vibration34. The observed intensity increase in the case of 768, 868, and 976 nm emissions clearly implies an exterior energy being pumped into these 3 excitation states where the energy states corresponding to the emissions at 588, 605, and 643 nm remain the only possibility.

Indeed, room temperature time-resolved fluorescence studies on the intensity and lifetime variations have confirmed the energy transfer from 605 to 768 nm emission. It is easy to see from Fig. 4a, b that the peak intensity at 605 nm reaches its maximum at 0.35 ns (Supplementary Fig. 9) and then decays rapidly with average lifetime of 0.92 ns (Supplementary Fig. 10 and Supplementary Table 2), which is contributed by three lifetimes of 0.83 ns (55.6%), 2.89 ns (5.96%), and 1.88 ns (38.4%). Meanwhile, the 768 nm emission reaches its maximum at 1.40 ns with negative pre-exponential and a rise time with fitted value of 0.73 ns (Fig. 4b–d and Supplementary Table 2) was detected, which correlates closely with the short lifetime of 0.83 ns at 605 nm emission and straightforwardly confirms the energy transfer between these two excitation states.

Fig. 4
figure 4

Time-resolved fluorescence properties of microcrystalline state BDP1. a Time-resolved fluorescence decay curves of BDP1 at emission wavelength (λem) of 500–800 nm. b Fluorescence decay curves of BDP1 at emission wavelengths of 605 and 768 nm. c Time-resolved emission spectra of BDP1 at the detection time from 0.35 to 5.45 ns d Time-resolved emission intensity variation of BDP1 at 605 and 768 nm. All samples measured were in microcrystalline powder state

Similarly, the increase prior to decrease of the emission intensity of 868 nm remains the same pace as the decrease of the 768 nm emission at low temperature was also observed although they could not be plotted in the same curve due to the instrument hardware limitation (Fig. 3b, c). Moreover, the perfect correlation of the intensity decrease of the 868 nm emission with the increase of the 976 nm emission (Fig. 3c) also indicates a similar energy transfer process. Meanwhile, time-resolved fluorescence emission at 976 nm behaves the same as that of 768 nm (Supplementary Fig. 11), suggesting a similar energy pumped-in event. What is more, the negative pre-exponential decay behavior was observed in 976 nm emission (Supplementary Table 2 and Supplementary Fig. 11), clearly suggesting that there exists a successive energy transfer process happened in turn from 605 to 768, 768 to 868, and finally 868 to 976 nm. Accordingly, there shall also exist multi-excitation states in the J-aggregates formed in microcrystalline BDP1 at different aggregation states, which facilitates the Domino-like multi-emissions.

All the fluorescence spectroscopic data in THF/Water mixture, PMMA doped film, and microcrystalline state have consistently proved that the multi-excitation and multi-emission phenomena are intrinsic fluorescence behaviors of BDP1 where the emission wavelength, intensity, and decay time are closely relevant to the aggregation states of BDP1 molecules. Moreover, the vibrational shoulder bands of 588 and 643 nm centered at 605 nm observed at 97 to 217 K is indicative of the existence of BDP1 monomers, and the 53 nm redshift compared to the monomer (λem = 552 nm) in THF solution is due to the improved π-conjugation and strong intermolecular interactions in the microcrystalline powder state14,34. No shoulder bands, different fluorescence decay times, and sequential energy transfer strongly suggest that the formation of different aggregates such as dimer, trimer, etc. are responsible for the emissions observed at 768, 868, and 976 nm, respectively.

Theoretical calculation

Quantum chemical calculations were further performed to illustrate the Domino-like energy transfer process existed in the aggregation induced J-aggregates from different point of view. Starting from the crystalline structure of BDP1 (Supplementary Fig. 12), several multimers (three dimers and three trimers) were constructed from nearby BDP1 monomers, and their excitation state parameters including excitation energy, oscillator strengthen (f), and natural transition orbitals (NTOs) of the lowest singlet state (S1) were calculated using the TDDFT/M06-2X/6-31G(d) method (Supplementary Fig. 13 and Supplementary Table 3).

The computational results have indicated that: (1) the S1 of BDP1 monomer (f = 0.647) is stemmed from the local transition of BODIPY moiety, that is, the NTOs in Supplementary Fig. 13. The calculated excitation energy (2.960 eV) overestimates the experimental value (2.363 eV, 525 nm in Fig. 2a) with 0.597 eV, which is a systematic shift (greater than 0.3 eV) of TD-DFT results compared to experimental ones for BODIPY dyes;36 (2) both holes and particles in dimer-1 and trimer-1 are equally delocalized over BDP1 moieties between BDP1 monomers (Fig. 5a, b), forming a strong state interaction with small red-shift (up to 0.048 eV for trimer-1) and increased oscillator strengthens (f = 1.263 for dimer-1 and f = 0.654 for trimer-1). These results are consistent with the variation trend seen in experiment, namely, the redshift (0.065 eV) and enhanced absorption band at 540 nm (2.298 eV) in THF-water mixtures (greater than 70%) compared with the monomeric absorption at 525 nm (2.363 eV); (3) the hole-particle distribution of other calculated multimers (dimer-2, dimer-3, trimer-2, and trimer-3) shows similar transition behavior as those of monomers (Supplementary Fig. 13), which will not contribute to the emissions at longer wavelengths seen in Figs. 1c and 3a. Combining the theoretical and experimental results, the emission band at 605 nm can be assigned as monomeric emission, while the band at 768, 868, and 976 nm may originate from multimers such as dimer-1, trimer-1, etc., respectively. Consequently, possible fluorescence mechanism with the according energy transfer between the multi-excitation states of BDP1 in different aggregation states is proposed in Fig. 5c.

Fig. 5
figure 5

Theoretical calculations for mechanistic investigation. Calculated NTOs of BDP1 a dimer-1 and b trimer-1. c Schematic illustration of the proposed Domino-like energy transfer and subsequent multiple emissions in solid state BDP1

Scope of multiple emissions of BDP1 analogues

More importantly, further investigations have proved that the analogues of BDP1, that is, BDP2 to BDP6, also possess similar multi-excitation (Supplementary Fig. 14) and multi-emission (Fig. 6) capabilities in their respective microcrystalline powder states. Besides the typical emission band in the region of 600 to 670 nm from corresponding monomers, BDP2 to BDP6 show characteristic NIR emissions of their aggregates at 753, 899, and 980 nm for BDP2, 764, 888, and 968 nm for BDP3, 717 and 907 nm for BDP4, 704 and 905 nm for BDP5, and 749, 833, and 900 nm for BDP6 (Fig. 6), respectively. These results directly imply that such multi-emission behaviors of BDP1 to BDP6 shall be a general case existed not only in its analogues but also in all BODIPY derivatives when substituted with proper functional groups.

Fig. 6
figure 6

Photophysical properties of microcrystalline state BDP2 to BDP6. Normalized fluorescence emissions (left column) of BDP2 to BDP6 in solution (green lines) and microcrystalline powder state (orange and red lines) with corresponding molecular structures in the right column

Discussion

In conclusion, we have systematically investigated the multi-excitation and multi-emission phenomena observed in the solid-state BDP1 to BDP6. The proposed aggregation-associated Domino-like energy transfer mechanism is well-supported by temperature-dependent and time-resolved fluorescence studies as well as the quantum chemical calculation results. The interesting emission features such as tunable and wide range multi-emissions ranging from green to NIR will impart BDPs greater potential than their analogues in the areas of flexible optoelectronics, frequency-controlled lighting, anticounterfeiting, optical communications, and bioimaging and disease diagnosis. This initial discovery will encourage further exploration on emission behaviors and mechanisms of not only BODIPYs but also other conventional organic dyes in their proper aggregation states. We anticipate that this study will pave an avenue for further manipulation of multiple energy levels of solid-state organic luminophors toward a greatly widened scope of applications.

Methods

Reactions and purifications

All the air-sensitive synthesis were operated in the argon environment by using Schlenk vacuum line techniques. Pre-dried solvents were used in the organometallic reactions. Commercially purchased chemicals were used as received. Thin column chromatography was carried out using 200 mesh silica gel (Qingdao Haiyang Chemical Co., Ltd). BDP237, BDP336, and BDP538 were synthesized according to the reported literatures. 1H NMR (Supplementary Figs. 15, 17 and 19) and 13C NMR (Supplementary Figs. 16, 18 and 20) data of BDP1, BDP4, and BDP6 were included in the Supplementary Methods.

Synthesis of BDP1: 2-iodo-1,3,5,7-tetramethyl-8-phenyl–4,4-difluoroboradiazaindacene (200 mg, 0.44 mmol), phenylboronic acid (81 mg, 0.66 mmol), and tetrakis(triphenylphosphine) palladium(0) (23 mg, 0.02 mmol) were added to a round-bottomed flask connected with a reflux condenser and 2 mL of toluene was then added. The reaction mixture was heated at 90 °C for 1 d followed by the addition of 2 mL of 1 mol L−1 sodium carbonate aqueous solution. After cooling down to room temperature, the as-obtained crude mixture was extracted with dichloromethane (DCM), dried with anhydrous magnesium sulfate, and then purified through the silica gel column chromatography (hexane: DCM, 2: 1, v: v, Rf = 0.3). Yield: 158 mg (90%).

Synthesis of BDP4: 2-iodo-1,3,5,7-tetramethyl-8-phenyl-4,4-difluoroboradiazaindacene (200 mg, 0.44 mmol), 4-(4,4,5,5-tetramethyl-1,3,2-dioxaborolan-2-yl)pyridine (145 mg, 0.66 mmol), and tetrakis(triphenylphosphine) palladium(0) (23 mg, 0.02 mmol) were added to a round-bottomed flask connected with a reflux condenser and 2 mL of toluene was then added. After adding, The reaction mixture was heated at 90 °C for 1 d followed by the addition of 2 mL of aqueous 1 mol L−1 sodium carbonate aqueous solution. After cooled down to room temperature, the as-obtained crude mixture was extracted with DCM, dried with anhydrous magnesium sulfate, and then purified through the silica gel column chromatography (ethyl acetate: DCM, 1: 10, v: v, Rf = 0.4). Yield: 162 mg (92%).

Synthesis of BDP6: 2,6-diiodo-1,3,5,7-tetramethyl-8-phenyl-4,4-difluoroboradiazaindacene (200 mg, 0.35 mmol), (4-cyanophenyl)boronic acid (123 mg, 0.84 mmol), and tetrakis(triphenylphosphine) palladium(0) (51 mg, 0.04 mmol) were added to a round-bottomed flask connected with a reflux condenser and 2 mL of toluene was then added. The reaction mixture was heated at 90 °C for 1 d followed by the addition of 2 mL of 1 mol L−1 sodium carbonate aqueous solution. After cooled down to room temperature, the as-obtained crude mixture was extracted with DCM, dried with anhydrous magnesium sulfate, and then purified through the silica gel column chromatography (DCM, Rf = 0.5). Yield: 150 mg (65%).

X-ray crystallographic analysis

Red and rectangular single crystal of BDP1 was crystallized from a solution of DCM. Intensity data of BDP1 (87, 187, 297, 397 K) were collected on a Bruker SMART APEX-II CCD X-ray diffractometer with Mo-Kα radiation (λ = 0.71073 Å). The structure was interpreted and refined by SHELX-2014. The crystallographic parameters are summarized in Supplementary Table 4.

Absorption and fluorescence spectroscopic studies of BDP1 in solution

UV-vis absorption spectra in solution (1 × 10–5 mol L−1) in a 1 cm quarts cuvette were collected on a Shimadzu UV-1750 spectrometer at resolution of 1.0 nm. Fluorescence spectra in solution were recorded on a Horiba Jobin Yvon spectrometer (Nanolog FL3-2iHR). The luminescence quantum yield in solution was measured using rhodamine 6G (under excitation of 488 nm, Φf = 0.88 in ethanol) as reference. The quantum yield Φ is calculated using the equation: Φu = [(AsFun2)/ (AuFsn02)]Φs, where As and Au are the absorbance of the reference (or standard) and sample (or unknown) solutions at their respective excitation wavelengths, Fs and Fu are the corresponding integrated fluorescence intensity, and n and n0 are the refractive indexes of the solvents of the sample and the reference, respectively39.

Absorption and fluorescence spectroscopic studies of solid-state BDP1

Microcrystalline powder samples of BDP1 were used for the determination. The solid-state UV–vis absorption spectra ranging from 200 to 1200 nm were measured on a Lambda 950 UV–vis spectrophotometer (PerkinElmer, U.S.A.), and using BaSO4 as the reference sample. 0.5 g microcrystalline powder samples of BDP1 was pressed on BaSO4 by the tableting method. The temperature-dependent and steady-state fluorescence spectra were collected on a Horiba Jobin Yvon spectrometer (Nanolog FL3-2iHR) and corrected against photomultiplier and lamp intensity. For the NIR spectra, light filter (780 nm) was used to remove the scattering light from primary frequency and frequency multiplication. The absolute quantum yields (Φf) was obtained on a Horiba Jobin Yvon spectrometer (Nanolog FL3-2iHR). The fluorescence lifetimes were determined on a Horiba Jobin Yvon IBH Inc spectrometer (Delta flex).

PMMA films preparation

100 mg poly(methyl methacrylate) (PMMA, 120000 average molecular weight, density dPMMA = 1.188 g cm−1) was dissolved in DCM (VDCM = 10 mL). DCM solutions of BDP1 with different concentrations were then mixed with PMMA solution (VPMMA = 1 mL) for 30 min under ultrasonic stirring. The standard spin-coating technique was used to prepare the films of PMMA containing BDP1. Firstly, glass microscope slides (cut to 25 mm × 10 mm × 1 mm) were washed with ethanol, wipe-cleaned, and placed on a spin coater; Secondly, 40 μL of the dye/PMMA mixture in DCM was added using a pipette on the glass slide, and the film was formed when spin-coating at 3000 rpm for 60 s.

Fluorescence spectroscopic studies of BDP1 in PMMA films

Fluorescence spectra in PMMA films were collected on a Horiba Jobin Yvon spectrometer (Nanolog FL3-2iHR).

Time-resolved fluorescence spectroscopy

All the time-resolved fluorescence spectra (TRFS) were obtained on UltraFast lifetime Spectrofluorometer (Delta flex, Horiba Jobinyvon IBH Inc). The excitation source was provided by a DeltaDiodeTM (Horiba) pulse laser diode with wavelength of 485 nm. TRFS were obtained by uniformly incrementing of the wavelength and measuring the time-resolved decay for equal periods of time. Fluorescence decays were then analyzed using DAS6 software by fitting common lifetimes to all of the individual decay curves.

Theoretical modeling

The computational models were built from the crystal structure shown in Supplementary Fig. 12. The quantum/molecular mechanics (QM/MM) theory with two-layer ONIOM method was implemented to deal with the molecular electronic structures in the crystal where the central molecule is chosen as the active QM part and defined as the high layer while the surrounding ones are chosen as the MM part and set as the low layer. The universal force field is applied for the MM part and that of the molecules of MMare frozen during the QM/MM geometry optimization. The electronic embedding is used in QM/MM calculations by combining the partial charges of the MM region with the QM Hamiltonian. The M06-2X functional has been proposed to rationally describe the BODIPY dyes40 and deal with the weak intermolecular interactions (van der Waals and ππ coupling)41. Several test configurations (three dimers and three trimers) were extracted from the BDP1 crystal structure and their natural transition orbitals (NTO) and vertical excitation energies were then calculated at TDDFT/M06-2X/6-31G(d) level. Moreover, the lowest singlet states (S1) of the possible dimer and trimer configurations were also optimized at the same level. All of the calculations were performed using the Gaussian 09 program42.

Data availability

The data supporting the findings of this study are available from the authors on reasonable request, see author contributions for specific data sets. The X-ray crystallographic coordinates for the structures reported in this article have been deposited at the Cambridge Crystallographic Data Centre (CCDC) under deposition numbers CCD 1540363, 1540364, 1837300, and 1837301. These data can be obtained free of charge from The Cambridge Crystallographic Data Centre via www.ccdc.cam.ac.uk/data_request/cif.