In nature, light-harvesting complexes with strong intermolecular couplings play a vital role in the process of photosynthesis, by facilitating the transport of excitation energy to the reaction centres1,2. To better understand the energy transport processes, the natural systems have been extensively modelled by simpler and more controllable artificial systems3,4. Among these, double-walled nanotubes, (DWNTs) which self-assemble from amphiphilic C8S3 molecules (Fig. 1A) in an aqueous environment5,6, are especially interesting as they bear strong structural similarity to chlorosomes found in green sulphur bacteria7,8,9, which are optimised for photosynthesis in poorly lit environments8. It is generally agreed6,10,11 that the C8S3 DWNT system is composed of strongly coupled chromophores organised in inner and outer supramolecular cylindrical structures (Fig. 1B, left inset), which has a significant influence on the optical properties of the system.

Figure 1
figure 1

Schematic of the experimental setup for the flash-dilution of C8S3 DWNTs. (A) Structure of the amphiphilic C8S3 molecule (red: oxygen, yellow : sulphur, green: chlorine, grey: carbon, blue: nitrogen) where different functional entities are highlighted (blue—hydrophilic group, orange—chromophore, grey—hydrophobic group). (B) The two syringe pumps supply the DWNT solution and methanol–water mixture to the microfluidic tear drop mixer, where the flash-dilution process is carried out in a controlled fashion. The outlet of the mixer is short-connected to a microfluidic flow cell, where the absorption spectrum of the flash-diluted NTs is continuously monitored. The flash-diluted NTs are collected at the end of the flow cell, rapidly frozen in the cryo-TEM station and imaged using cryo-TEM. The insets show a visual representation (rendered using Blender) of DWNTs and flash-diluted NTs, along with dissolved molecules; for simplicity, the solvent molecules are not shown.

Strong coupling among the chromophores leads to the formation of delocalised excitations, the excitons10,12. These travel back and forth along the nanotubes (NTs), but could also migrate from one NT to another11. To prevent such cross-talk between the NTs, the inner NT can be decoupled from the DWNT structure by a process called flash-dilution10,13, i.e. rapid mixing of the DWNT aqueous solution with a mixture of methanol and water. This allows the selective dissolution of the outer NT (Fig. 1B, right inset), as was concluded based on the disappearance of the excitonic absorption peak associated with the outer NT6,11. Modelling the optical properties of the inner NT requires knowledge of its structure, but structural studies (e.g. cryo-TEM) are limited by rapid reassembly (within a few minutes10) of the dissolved out-of-equilibrium outer NT molecules.

Here, we solved this problem by using a combination of microfluidics and cryo-TEM (Fig. 1B) to image the isolated inner NT. Cryo-TEM imaging was performed on the inner NTs, which were rapidly frozen 40 s after microfluidic flash-dilution, thus preventing the reassembly process. The experimental cryo-TEM images were compared to the ones calculated using high-resolution transmission electron microscopy (HRTEM) software14 with the input from molecular modelling of C8S3 NTs. We found that the inner NTs were largely unaffected by flash-dilution as compared to their DWNT counterparts. Furthermore, the resulting ensemble of inner NTs was as structurally homogeneous as the parent DWNTs, despite the potential destructiveness of flash-dilution. These findings open up exciting possibilities for controlled modifications of the intra-architecture of self-assembled nanostructures, which would alter the optical properties of the system.

Results and discussion

Microfluidic flash dilution

Addition of water to a stock solution of C8S3 dye molecules dissolved in methanol (see “Materials and methods”) results in the formation of DWNTs10,15, which is spectroscopically observed by a strong red shift of 70 nm (2300 cm−1) in the absorption spectrum (Fig. 2, blue spectrum). Two narrow peaks at 600 nm (16,673 cm−1) and 590 nm (16,963 cm−1) correspond to excitonic transitions in the inner and outer NTs, respectively16,17. The shoulder below 580 nm is attributed to higher-laying excitonic transitions16.

Figure 2
figure 2

Absorption spectra of C8S3 monomers dissolved in methanol (brown), DWNTs (blue) and flash-diluted NTs (red). For the purpose of comparison, the spectra of DWNTs and flash-diluted NTs are normalised to the amplitude of the peak at 600 nm, while the monomer spectrum is normalised to the amplitude of the peak at 520 nm. Note a 40 cm−1 blue shift of the 600 nm peak of flash-diluted NTs with respect to the spectrum of DWNTs.

The process of flash-dilution is carried out by mixing DWNT solution with a 1:1 (v/v) mixture of methanol and water in a microfluidic teardrop mixer18. The disappearance of the peak at 590 nm has been previously attributed to the dissolution of the outer NT10,18. A broad peak at 574 nm corresponds to higher-energy excitonic transitions10,16; the contribution from bundles can be ruled out as they were hardly observed in cryo-TEM images of the DWNT solution (Supplementary Information I). Moreover, the 604 nm absorption peak characteristic for the bundles5,19 was hardly observed (Supplementary Information I).

Cryo-TEM imaging of DWNTs and flash-diluted NTs

To relate the spectroscopic data to the structural data, both DWNTs and flash-diluted NTs were imaged using cryo-TEM. To ensure identical imaging conditions for the purpose of further analysis, we considered the cryo-TEM image containing both DWNTs and flash-diluted NTs (Fig. 3A), and their respective zoomed-in sections are shown in Figs. 3B,C. We emphasise that this was a rare (but otherwise convenient) occasion because the overall efficacy of the flash-dilution process is estimated to be as high as 90%, where the efficacy is calculated as the ratio of the number of flash-diluted NTs to the total number of NTs in all cryo-TEM images (Supplementary Information II). Additional cryo-TEM images obtained in different defocusing conditions are analysed in Supplementary Information III.

Figure 3
figure 3

Cryo-TEM image (A) containing both DWNTs (marked by *) and flash-diluted NTs, zoomed-in (85X, shown by white oval) sections of DWNTs (B), flash-diluted NTs (C) and line profiles of DWNTs (blue) and flash-diluted (red) NTs (D). The cryo-TEM image (A) is recorded at a defocus value of 1.5 µm. The line profiles are averaged (Supplementary Information IV) over 30 TEM line profiles, each 22.5 nm in length (two examples are shown by the white rectangles). The line profiles are normalised to a minimum value of −1 for comparison after the background is subtracted (Supplementary Information IV). The solid and dashed black arrows show the two metrics used: the boundary and dip-to-dip distances, respectively, where ain is the inner dip-to-dip distance, while bdw and bFD are boundary distances of DWNTs and flash-diluted NTs, respectively.

The averaged line profiles of DWNTs and flash-diluted NTs are shown in Fig. 3D, where the minima at  ± 3.5 nm will be referred to as “inner dips”. The boundary distance is traditionally determined from the intersection of the Fresnel fringes with the baseline13,17,20, while the dip-to-dip distance is ascertained by finding the inner minima of the line profile10,13 (Fig. 3D and Supplementary Information IV). The histograms of boundary and dip-to-dip distances of individual TEM line profiles (i.e. of 22.5 nm segments) are shown in Fig. 4, while Table 1 lists both metrics for DWNTs and flash-diluted NTs. The homogeneity of the DWNTs and flash-diluted NTs can be asserted from the distribution of boundary and dip-to-dip distances of several TEM line profiles (Fig. 4). The standard deviations (SDs) of the histograms of all parameters considered are fairly low—smaller than 5% of the respective values. This indicates that both DWNTs and flash-diluted NTs are fairly homogeneous along the NT length, as well as amongst each other.

Figure 4
figure 4

Histograms of boundary distances (brown) and inner dip-to-dip distances (green) of DWNTs (A) and flash-diluted NTs (B). Thirty line profiles of a total length of 0.7 µm were considered for DWNTs and flash-diluted NTs. Each line profile was averaged over a 22.5 nm length and fitted ad hoc with four (DWNT) or two (flash-diluted NT) Gaussians, from which the mean positions were extracted (Supplementary Information IV). The parameters of the histograms are listed in Table 1.

Table 1 Parameters of the distributions of boundary and dip-to-dip distances of DWNTs and flash-diluted NTs.

The boundary distance of the DWNTs of 13.6 ± 0.4 nm agrees with the values published in the literature6,13,21,22. The wall thickness, evaluated from the difference between the boundary distances of DWNTs and flash-diluted NTs, is (13.6–10.2)/2 = 1.7 nm, which agrees well with the size of C8S3 molecule (2 nm)23 considering the interdigitating aliphatic tails21. In other words, the boundary distance of the flash-diluted NTs corresponds to the boundary distance of the DWNTs with the outer layer removed, which strongly suggests that the inner NT remains intact after flash dilution.

Molecular modelling and TEM image simulation

Different metrics (e.g. boundary distance and dip-to-dip distance) used in the cryo-TEM literature13,20,21,24 should be taken with great caution while making connections to the (molecular) macrostructure21 because the values they represent might change under different defocusing conditions. In general, peaks and troughs in TEM images cannot be interpreted directly as corresponding to a high and low (projected) charge or mass density25, and the literature gives examples of the appearance of ‘ghost’ tubes in multiwalled carbon nanotubes26. Therefore, a connection should be made between the molecular structure of the nanotubes and cryo-TEM images. To this end, we used an atomistic molecular model (referred to as the “sample” from here on; for details, see “Materials and methods”) consisting of a single-walled (SW) and a double-walled (DW) section solvated in water. A series of high-resolution TEM (HRTEM) images corresponding to this configuration were generated with the multi-slice algorithm using the program suite abTEM14, and line profiles perpendicular to the nanotube axis were obtained (for details, see “Materials and methods”).

Figures 5A,B show C8S3 molecules arranged in a tubular structure for the molecular model and the simulated HRTEM image of the sample, respectively. Simulated HRTEM line profile contrasts for DW and SW sections, as well as the corresponding profiles of the projected nuclear charge density (for details, see Supplementary Information VII) of the atomistic model (including all solvent and counter ions), are depicted in Fig. 5C,D, respectively. The projected nuclear charge densities of the DW and SW sections overlap closely, with the peak in the density at almost the same distance from the centre of the tube (3.3 nm). Furthermore, the positions of the inner maxima of the projected nuclear charge densities (shown by dashed lines) are reasonably close (within 0.5 nm) to the positions of the inner dips (i.e. the minima of the line profiles at  ± 3.5 nm) for both the DW and SW sections (Fig. 5C,D).

Figure 5
figure 5

Molecular model of C8S3 NTs (A), simulated HRTEM image at defocus of 1.2 µm (B) and averaged-contrast line profiles of DW (blue) (C) and SW (red) (D) sections along with their respective projected nuclear charge densities (ρn). The molecular model (A) and simulated HRTEM image (B) show both DW and SW sections, which are highlighted in the latter by blue and red rectangles, respectively. Five line profiles of 20 nm each from the simulated HRTEM image are averaged and smoothened by taking a rolling average over seven points (C,D). The line profiles (projected nuclear densities) are normalised to a minimum (maximum) value of −0.5 (+ 1) for the ease of comparison. In panels (C) and (D), the dashed lines show the positions of the inner dips ( ± 3.5 nm) of the line profiles, which are reasonably close (within 0.5 nm) to the positions of the inner maxima of the projected nuclear densities.

The contrast line profiles of DWNTs and flash-diluted NTs obtained from the experimental cryo-TEM images (Fig. 3D) bear a close resemblance to the simulated line profile contrasts (Fig. 5C,D). The overall shapes of the line profiles are well- reproduced, and the inner dips nicely coincide in the experiment (for DWNTs and flash-diluted NTs, Fig. 4, green histograms) and theory (for DW and SW samples, Fig. 5C,D). In noting that the SW section was obtained by simply removing the molecules of the outer NT, without changing the molecular structure of the inner NT, we conclude that the flash-dilution does not affect the inner wall. The positions of the dips slightly drift for different values of the defocus (Supplementary Information III, Fig. S8); nevertheless, they do so in much the same fashion for the SW and inner DW sections (Supplementary Information III, Fig. S9). The deviations in the particular defocus values (1.2 µm for theoretical calculations vs. 1.5 µm in experiment) and distance scaling (10% between the experiment and calculations, not shown explicitly) may be due to differences in samples thickness, finite transversal coherence of the electron beam, and accuracy of the potential used in the multislice method. Nevertheless, the general trends seen in the simulated HRTEM images support our conclusion that the inner wall survives flash-dilution intact.

Blue shift in the flash-diluted NT spectrum

Finally, we comment on a small, but noticeable, blue shift of 40 cm−1 observed in the absorption spectrum of the inner NT after flash-dilution (Fig. 2). This blue shift was earlier hypothesised to be attributed to either the change in the inner NT diameter after flash-dilution18 or shortening of the length of NTs (to 100 nm or shorter) due to the nano-confinement of excitons27. As shown herein, the flash-dilution process does not change the inner NT. Furthermore, when considering the sight of view of the cryo-TEM grid, no significant changes were observed in the lengths of flash-diluted NTs (Supplementary Information V, Fig. S12). The latter finding corroborates an earlier conclusion based on the high degree of geometrical alignment of the flash-diluted NTs in the microfluidics channel18. Accordingly, the blue spectral shift is most likely because the inner NT begins to be directly exposed to the solvent, which causes a change in the dielectric constant of the surrounding. This is in line with the previous finding5 on the effect of the solvent on the DWNT system, where the absorption spectrum of DWNTs prepared via the alcoholic route was blue-shifted compared to DWNTs prepared via the direct route (i.e. no methanol in the solvent).


By using microfluidics, optical spectroscopy and cryo-TEM, we have been able to image the transient inner NTs before the outer NTs reform under strong non-equilibrium conditions. Experimental cryo-TEM images were compared with simulated HRTEM images obtained from molecular modelling of the C8S3 NT system. The close correspondence between the two allowed us to conclude that the inner NT remains unchanged after flash-dilution. The high homogeneity of the inner NT was also shown to be preserved through the flash-dilution process, which proves that flash-dilution selectively dissolves only the outer NT, leaving the molecular structure of the inner NT mostly intact. This conclusion opens up a new research pathway to introduce additional nanostructure(s) (such as e.g. quantum dots) to the inner NT before the outer NT begins to reform, to alter the electronic coupling between the walls or the exciton diffusion length.

Materials and methods

Sample preparation

C8S3 dye (3,3’-bis(2-sulfopropyl)-5,5’,6,6’-tetrachloro-1,1’-dioctylbenzimidacarbocyanine, MW = 903 g/mol) was purchased from FEW Chemicals (Wolfen, Germany), and was used as received. C8S3 DWNTs were prepared via the alcoholic route detailed in Ref.5. In brief, 2.32 mM monomer stock was prepared by dissolving C8S3 dye molecules in methanol (Biosolve BV). This was followed by the addition of milli-Q water to the monomer stock solution in the ratio 1:0.26 v/v. There was an immediate change in colour from orange to pink, which is an indication of self-assembly of the monomers, resulting in the formation of DWNTs. The resulting solution was stored for 15 – 18 h at room temperature in a dark place. Following this, 1 mL milli-Q water was added, resulting in a final C8S3 dye concentration of 0.267 mM, and 9% (w/w) methanol in DWNT solution.

Microfluidic flash-dilution

Flash-dilution was carried out by mixing the DWNT solution with a mixture of methanol and water (1:1 v/v) in a borosilicate microfluidic teardrop mixer (Micronit), the geometry of which ensures controlled and efficient mixing at low Reynolds numbers (RE < 100) with a clearly defined beginning of the flash-dilution process. Two syringe pumps (New Era, model NE–300) were used to pump the DWNT solution and the methanol–water mixture into the microfluidic mixer at a flowrate ratio of 1:1.6, respectively, with a total flowrate of 2.6 mL/h. After mixing, the flash-diluted NTs flowed to the microfluidic flow cell (Micronit), where the absorption spectrum was constantly monitored in a compact, portable, home-built absorption setup, which can be operated in the vicinity of the cryo-TEM freezing station. A white LED light as a light source and an Ocean Optics USB-400 spectrometer were used. The total time for the reagents to flow from the mixer to the end of the flow cell was 10 s. The flash-diluted NTs were collected at the end of the flow cell and were frozen rapidly within 30 s of collection.

Cryogenic transmission electron microscopy

Flash-diluted NTs were frozen (following the protocol described in Ref.13) 40 s after the beginning of the flash-dilution process. Firstly, around 3 µL of flash-diluted NT was deposited on a hydrophilised copper grid with a holey carbon film (quantifoil 3.5/1). Then, a thin layer of the sample (100 nm) was formed by blotting off the excess for 5 s. This was followed by rapidly vitrifying the grid at −184 °C in liquid ethane using a Vitrobot (FEI Eindhoven). For imaging, a FEI Tecnai T20 transmission electron microscope with a LaB6 cathode operating at 200 keV was used, where the vitrified grids were placed in a cryotransfer holder (Gatan model 626). The cryo-TEM images were recorded using an UltraScan 4000 UHS CDD camera (Gatan, Pleasanton) in the low-dose mode. Four samples each of DWNTs and flash-diluted NTs were imaged at different defocus and magnification. From these, two micrographs of DWNTs and three micrographs of flash-diluted NTs were arbitrarily used in the main text and Supplementary Information. With the magnification value of 100,000 × used in the reported images (unless stated otherwise), the spatial resolution is estimated as 0.5 nm, while the uncertainty in the defocus value of the microscope is 0.5 µm. Additional imaging parameters are listed in Table 2.

Table 2 Cryo-TEM imaging parameters.

Data processing

The cryo-TEM images were analysed with Fiji Image J2 software; the details are discussed in Supplementary Information IV.

Molecular dynamics model

The C8S3 nanotube model from Bondarenko et al.28 was used as a starting structure for our simulations. The specific model reproduced the experimental absorption spectra of the C8S3 nanotubes and maintained its tubular structure during a production phase of 100 ns. The process of constructing C8S3 nanotubes was based on creating 2D lattices from different unit cells and rolling them into cylinders with specific radii and rolling angles (for details, see Supplementary Information VI). The radius for the inner wall cylinder of this model was 3.72 nm and the rolling angle was 30.96°, whereas, for the outer wall cylinder, these values were 5.49 nm and 31.53°, respectively. The details are described in Refs.21,28.

To calculate the line profile contrasts, a nanotube piece of 20 nm length was cropped from the C8S3 nanotube model (originally 75 nm). Then, the C8S3 molecules of the lower half of the nanotube were removed. The resulting structure constituted a complete C8S3 nanotube of 10 nm attached to an exposed C8S3 inner tube of 10 nm (Fig. 5A). The cropped nanotube was solvated in the centre of a 40 × 40 × 40 nm box and Na+ ions were added to neutralise the charge of the system. To make sure the dimensions of the inner wall of the tube were the same in the SW and DW sections, position restraints were applied to the chromophore of the inner-wall C8S3 molecules. The total number of C8S3 molecules was 1068 (inner NT: 604 & outer NT: 464), and the total number of atoms was 6,807,144. Further details can be found in Supplementary Information VI and in Refs.21,28.

TEM image simulation

The atomic positions of all atoms in the model (6.8 million in total) were used to generate simulated high-resolution TEM (HRTEM) images using the modules of the abTEM package14, by numerically propagating a plane wave with a real-space resolution of 1.0 Angstrom across the electrostatic potential using the multislice algorithm29. The Lobato parameterisation30 of the atomic potentials was used, with a slice thickness of 0.1 Angstrom and with exact integration in the direction of the plane wave over the slice. The exit wave was subsequently converted to an HRTEM image by applying a contrast transfer function (CTF). The CTF settings were close to those of the electron microscope used in the experiment (see Supplementary Information VII), but we varied the defocus. Line profile contrasts for the SW and DW sections were generated from the image by averaging five line profiles each of 20 nm in length across the tube in the SW and DW sections. The method used to obtain nuclear charge density profiles is elaborated in Supplementary Information VII.