Thank you for visiting nature.com. You are using a browser version with limited support for CSS. To obtain the best experience, we recommend you use a more up to date browser (or turn off compatibility mode in Internet Explorer). In the meantime, to ensure continued support, we are displaying the site without styles and JavaScript.

# Strong graphene oxide nanocomposites from aqueous hybrid liquid crystals

## Abstract

Combining polymers with small amounts of stiff carbon-based nanofillers such as graphene or graphene oxide is expected to yield low-density nanocomposites with exceptional mechanical properties. However, such nanocomposites have remained elusive because of incompatibilities between fillers and polymers that are further compounded by processing difficulties. Here we report a water-based process to obtain highly reinforced nanocomposite films by simple mixing of two liquid crystalline solutions: a colloidal nematic phase comprised of graphene oxide platelets and a nematic phase formed by a rod-like high-performance aramid. Upon drying the resulting hybrid biaxial nematic phase, we obtain robust, structural nanocomposites reinforced with graphene oxide.

## Introduction

Reinforcing polymers with nano-scale fillers like carbon nanotubes, graphene, and graphene oxide, is often touted as a prescription for fabricating low-density nanocomposites with exceptional mechanical properties1,2. However, property enhancement is critically dependent on stress transfer from the relatively soft polymer matrix to the stiff reinforcement3. The efficacy of stress transfer is, in turn, sensitive to the polymer morphology, the distribution of the filler particles, and ill-defined intermolecular interactions between the particle surface and polymer. To date a haphazard Edisonian approach to reinforcing inherently low-modulus polymers has been pursued by adding nano-scale fillers to melts or solutions of polymers with random coil secondary structures4. Consequently, strong nanocomposites remain elusive in part because of incompatibilities between amorphous polymer morphology and filler causing the latter to aggregate; composite fabrication is also impacted by processing difficulties2. Using a water-based process, we report that highly reinforced nanocomposite films can be obtained by simply mixing two uniaxial liquid crystalline solutions: (i) a colloidal nematic filler phase comprised of a suspension of aligned graphene oxide (GO) platelets and (ii) a nematic solution of rod-like high-performance aramid polymers. The resulting mixture is hybrid biaxial nematic phase5—a mesoscopic lyotropic nematic comprised of GO platelets embedded in a lyotropic polymeric nematic with respective directors orthogonal—with a locally stratified supramolecular organization. On drying, the stratified arrangement in the biaxial fluid is compressed into a uniplanar morphology yielding robust, structural nanocomposite films. The nanocomposite exceeds theoretical estimates—a 20 GPa modulus enhancement of the aramid and a strength enhancement of ~320 MPa without any decrease in the strain-at-break. The hybrid mesophase route employed in this work yields a uniform dispersion of filler and suggests a design strategy for fabricating structural nanocomposites. In short, we present a facile, robust route to overcome processing challenges and achieve well-dispersed nanocomposites that exhibit excellent load transfer between the matrix polymer and the GO reinforcing component.

## Results

### Hybrid biaxial nematics

Poly(2,2′-disulfonyl-4,4′-benzidine terepthalamide) (PBDT; Fig. 1a) is an all-aromatic, rodlike polyelectrolyte related to the high performance aramid, Kevlar®6. PBDT forms a uniaxial nematic phase (N+)7,8,9 above 1.9 wt.% in water with its local director—the axis of alignment of quasi-parallel, high-persistence-length (rodlike) PBDT polymers, specified by nP; the + sign indicates that the largest refractive index is parallel to nP. The PBDT solutions are biphasic between 1.9 and 12 wt.%, and fully nematic above the latter concentration (Supplementary Fig. 1). In the Onsager excluded-volume picture of lyotropic liquid crystal formation10, a low onset concentration suggests a high aspect ratio. This results because the rod-like PBDT double helix aggregates into prolate particles—with an axial persistence length of ~260 nm (see Supplementary Note 1) and an aspect ratio of ~33010,11,12. Graphene oxide (GO), a precursor to “synthetic graphene”13, has a lower modulus (~250 GPa)14 than G, but the heterogeneity of the GO primary structure enables formation of a stable aqueous colloidal nematic phase above a critical concentration15 with its director nGO specifying the average direction of platelet normals; the largest refractive index is perpendicular to nGO, hence the negative sign in the phase designation, N-. Micron-size GO platelets with (ideally) the thickness of a single carbon atom implies a very high aspect ratio (>104) and correspondingly a much lower liquid crystal onset concentration (~0.018 wt.%) and smaller biphasic range (0.018–0.9 wt.%)15,16; see Supplementary Figs. 1 and 2. The size selected GO platelets ≈3.6 μm in diameter (Supplementary Fig. 3a), consist of single and bilayer GO according to TEM (Supplementary Fig. 3b), with a C/O ratio—indicative of functionalization degree—of 2.6 (Supplementary Fig. 3c), and in the N- phase are arranged with (undulating quasi-planar) GO surfaces locally parallel17.

In mixtures of rods and plates, the competition between the excluded volumes of the two different shapes results in a concentration regime wherein the respective rod and plate directors nP and nGO are oriented along mutually perpendicular directions18,19,20 to form a biaxial nematic phase (Nb)21,22,23. We anticipated that a hybrid liquid crystal phase would form when mesoscale GO platelets are dispersed in the N+ phase of PBDT, analogous to the hNb phases discovered by Mundoor et al. 5 In the latter, mesoscopic rodlike particles were added to a thermotropic molecular nematic, which adopted normal anchoring relative to the particle surfaces resulting in two orthogonal nematic directors. In our case tangential anchoring of PBDT on the GO surfaces maximizes the interactions between PBDT rods and GO platelets resulting in a hybrid phase with the two respective nematic directors nP and nGO orthogonal to one another. Hybrid PBDT + GO phases were prepared by mixing aqueous solutions of PBDT and GO (Fig. 1b and Methods) such that the mass fraction (FGO) is held constant (FGO = GO/(PBDT + GO) = 0.0244) in both the fluid mixtures (Supplementary Table 1)and in the solid films prepared by drying those mixtures. However, in order to create stable fluid dispersions of GO in solution it is essential to have the PBDT component in its liquid crystalline phase (Fig. 1c); when the total solids content, Ctotal (the concentration of GO + PBDT), is less than 2.0 wt.%, the mixture is a simple isotropic solution and PBDT acts as a flocculant causing the GO to aggregate and sediment on mild centrifugation (Fig. 1c). In nematic hybrid mixtures i.e when Ctotal > 2.0 wt.%, GO exceeds its critical overlap concentration ($$\emptyset _{{\mathrm{GO}}}^ \ast$$) (see Supplementary Table 2 and associated calculations in Supplementary Information) resulting in orientational correlation between GO platelet normals. Furthermore, the effective volume per GO platelet (Veff,GO) which is a measure of the accessible volume for GO platelets reduces below the corresponding GO overlap volume (Supplementary Table 2). Dispersions of GO in the N+ phase of PBDT are stable even when the PBDT component is biphasic; for Ctotal > 3.6 wt.%, the entire solution appears as a uniform stable hNb phase. The detailed phase behavior of PBDT rods mixed with GO platelets is complex: For example, a 4.75 wt.% PBDT in water is biphasic (I + N+), as is a 0.0120 wt.% GO suspension in water (I + N) (Supplementary Table 1). But the mixture of the two solutions (Ctotal = 4.9 wt.%) is a homogeneous hNb phase that does not phase separate on centrifugation. The aspect ratio of the GO in mixtures is also a critical variable (Supplementary Figs. 3a and 4). Despite long-standing theoretical predictions19,21, we are unaware of prior reports of stable rod + plate biaxial mesophases as de-mixing occurs spontaneously24.

In contrast, the random coil polymer, poly(2,2′-disulfonyl-benzidine isophthalimide) (PBDI; Fig. 1a) does not form a liquid crystalline phase and merely acts as a polyelectrolyte flocculating agent for GO (Fig. 1c). As a result, contrasting the behavior of PBDI with the rodlike PBDT gives insights into how nanocomposite precursor phases impact mechanical properties.

Transmission small angle X-ray diffraction measurements were performed on the PBDT + GO mixtures with the geometries shown in Fig. 2a, at normal α = 90° and “edge-on” α ≈ 15° incidence with respect to the containing cell surface.

At normal incidence, the scattering is essentially isotropic over the investigated concentration range (apart from the weak anisotropy from shear-induced orientation introduced during sample loading) (Supplementary Fig. 5a). In the edge-on geometry, the small-angle (low q) GO-dominated scattering transforms from a circular pattern to an anisotropic azimuthal intensity distribution in the fully nematic mixtures (Fig. 2a and Supplementary Fig. 5a). The anisotropy appears to be generated from two sources: (i) shear-induced order on filling the cell with liquid crystalline fluids; (ii) anchoring preferences, i.e, the PBDT nematic adopts a homogeneous texture (random in-plane tangential anchoring) while the GO nematic favors homeotropic alignment (normal anchoring). The random alignment of nP in the plane of the cell results in a two-dimensional mosaic structure of biaxial domains, which accounts for the isotropic scattering in the hNb phase for α = 90°. To reiterate, in the hNb phases there is a preference for nP to adopt tangential anchoring to surfaces (the cell and the GO) hence nGO adopts orthogonal ordering (Fig. 2b). This interpretation is reinforced by the angular dependence of the scattering (Supplementary Fig. 5a) where the inter-PBDT rod scattering and inter GO platelet scattering intensity is concentrated along the meridian for the edge-on diffraction patterns (Fig. 2a). The anisotropic, coaxial, meridional scattering from PBDT and GO along with the well behaved dP = CP−1/2 scaling relationship8 (Fig. 2a and Supplementary Fig. 5b) is evidence of a biaxial hybrid nematic showing the superposition of orthogonal PBDT rod and GO platelet directors, nP and nGO respectively (Fig. 2b). The stratified supramolecular arrangement of PBDT rods between GO platelets is reminiscent of the stratified morphology observed in a system comprising DNA rods adsorbed between 2D lipid membranes25.

### Nanostructure of nanocomposite films

Nanocomposite films with thickness ≈20 μm were prepared by a casting process (doctor blade, gap = 1 mm, casting velocity = 1 mm·s−1) using thoroughly blended mixtures of separately prepared solutions of PBDT and colloidal GO in water. Polymer baseline properties are determined by preparing neat PBDT films; at some point during drying of neat (isotropic or biphasic) PBDT solutions, the critical concentration for lyotropic N+ mesophase formation is exceeded. Since the N+ phase adopts tangential anchoring on the flat casting substrate (untreated glass), nP is parallel to the substrate interface, but the direction of nP is not uniform throughout the fluid film (Supplementary Fig. 6 and Supplementary Fig. 7a). Unless the fluid is deliberately sheared while drying there is an absence of long-range order of nP. Typically, dimensionally stable, neat PBDT films exhibit a poly-domain mosaic morphology with the PBDT rods adopting a uniplanar orientation relative to the casting substrate. With the incident X-ray beam at α = 90° (normal incidence), neat PBDT films and all PBDT + GO nanocomposite film WAXS data associated with intramolecular and intermolecular periodicities in PBDT (Supplementary Fig. 7a) have a nearly uniform intensity distribution, indicating a random arrangement of PBDT directors in the plane of the films (Supplementary Fig. 7a). The parallelism of nP to the substrate i.e. the degree of uniplanar alignment of PBDT in the film can be evaluated by computing an order parameter 〈P2 = (3cos2β – 1)/2〉26, where β is the out-of-plane deviation of PBDT rods for edge-on incident beam data (α = 0°, Fig. 3). The order parameter 〈P2〉 may be calculated from the azimuthal intensity distribution of the diffraction at dP = 3.8 Å i.e. the inter-rod spacing in the dry films26,27.

For neat PBDT films, 〈P2〉 ≈ 0.6 and is independent of the PBDT concentration in the casting solution. However, in the PBDT + GO mixtures, the Ctotal has a pronounced influence on PBDT organization within the nanocomposite films. Casting and drying from stable, hybrid nematic phases (e.g., Ctotal > 4.9 wt.%) results in stratified supramolecular organization i.e. narrower distributions of the inter-rod scattering intensity (higher in-plane alignment) with a higher 〈P2〉 value (>0.8). By contrast, diffuse inter-rod (Fig. 3 and Supplementary Fig. 7a) scattering patterns with lower 〈P2〉 values are obtained in composite films cast from the metastable PBDT + GO mixtures (e.g., 〈P2〉 ≈ 0.25 and ≈ 0.4 for Ctotal = 1.7 and 2.9 wt.%, respectively). In nanocomposite films cast from hNb mixtures, the meridional scattering for the nanocomposite SAXS measurements (Fig. 3 and Supplementary Fig. 7a) and the well-defined isotropic scattering at α = 90° suggests the presence of relatively well-defined aggregates (PBDT fibrils)7 separating GO platelets with high in-plane orientational order (〈P2〉 > 0.9) (Supplementary Fig. 7b). We do note that the prohibitively high viscosity of Ctotal = 14.4 wt.% prevents the preparation of uniform nanocomposite films using a doctor blade. PBDI + GO nanocomposite films are brittle with isotropic scattering exhibiting no significant change in PBDI morphology by adding the GO filler (Supplementary Fig. 8).

### (Thermo) Mechanical properties

The casting solution concentration Ctotal, which controls the perfection/homogeneity of the hybrid mesophase, strongly affects the nanocomposite stiffness determined from storage modulus (E’) values using dynamic mechanical thermal analysis (DMTA) (Supplementary Fig. 9). Pure PBDT films have E’ values of 10 GPa, and for this high-performance polymer, E’ is invariant with temperature up to 400 °C (Supplementary Fig. 9). The magnitude of the mechanical enhancement of PBDT with GO depends on the phase of the casting solution—isotropic or (hybrid) liquid crystalline—which in turn affects the dispersion quality (Fig. 4a and Supplementary Fig. 10).

Films cast from the unstable isotropic or biphasic hybrid mixtures (e.g., Ctotal = 1.7 wt.% (I) or 2.8 wt.% (I + hNb)) exhibit visible GO aggregation on a length scale of several hundred of microns, (Supplementary Fig. 10). Additionally, the low in-plane alignment of the polymer (〈P2〉 ≈ 0.25) in films prepared from the isotropic hybrid mixture (Ctotal = 1.7 wt.%) results in nanocomposite ENC values marginally lower (ENC = 8.3 GPa < EPM = 10 GPa) than that of pure PBDT. Nanocomposite films derived from the biphasic hybrid mixture (Ctotal = 2.8 wt.%) exhibit a modest E’ enhancement (ΔE = ENC – EPM = 1.7 GPa) despite GO aggregation (Supplementary Fig. 10a) and polymer alignment (〈P2〉 ≈ 0.4) lower than that of neat PBDT (〈P2〉 ≈ 0.6). This observed ΔE lies within the range of values commonly obtained for commodity plastics modified with GO (Fig. 4a) and indicates that the contribution is primarily from stress-transfer to the mechanical reinforcement. The stratified morphology of nanocomposite films cast from monophasic hNb mixtures (Ctotal = 4.9 and 7.1 wt.%) results in large E’ values of 25.5 and 33.2 GPa i.e. ΔE = 15.5 GPa and 23.2 GPa respectively that are greater than all previously reported glassy polymer + GO nanocomposites (Fig. 4 and Supplementary Data 1). The simple fabrication of the nanocomposite films described herein yields ΔE values that are comparable to polymer + GO nanocomposite fibers4,28,29. The lack of modulus enhancement in nanocomposites cast from unstable PBDT + (small GO) or the isotropic PBDI + GO precursor mixtures (Ctotal = 4.9 wt.% in both) (Supplementary Fig. 9) further highlights the importance of preparing nanocomposites from stable, hybrid biaxial nematic mixtures.

The stress-strain analysis of nanocomposite films having a “compressed” uniplanar hNb morphology exhibits enhanced mechanical properties (e.g., Young’s modulus, tensile strength, and strain-at-break) relative to the uniplanar morphology of pure PBDT films (Supplementary Fig. 10c, Ctotal = 4.9 wt.% and Supplementary Table 3). We observe an tensile strength enhancement of 320 MPa (Fig. 4b) without any decrease in the strain at break—contrary to the commonly reported propensity for brittle fracture that accompanies an increase in nanocomposite stiffness4. A comparison of the largest (and the average) strain-at-break values for PBDT and PBDT + GO (Supplementary Table 3) indicates that the strain-at-break is improved in the nanocomposite films. Generally, mechanical properties, such as modulus, strength, and strain at break of rigid-rod polymers such as Kevlar® increase with polymer orientation30. In PBDT + GO nanocomposite films, the enhancements in modulus, strength, and strain at break result from the increased PBDT + GO orientation; this is in turn derived from the unique supramolecular organization of the rodlike polymer and platelike filler—a stable, stratified morphology obtained from drying the hybrid biaxial nematic solutions.

## Discussion

The striking enhancements in modulus and strength for nanocomposites prepared from hybrid biaxial nematic mixtures clearly demonstrates that rigid-rod high-performance polymers are excellent matrix materials for GO-based nanocomposites. The phase stability of the aqueous mixtures provides a variable for control of the morphological organization in GO-reinforced films. Our observations provide design and optimization strategies for preparing nanocomposite materials from anisotropic precursors, thus enabling polymer nanocomposites with properties that have remained elusive despite decades of effort. Blending liquid crystalline phases of mesoscale reinforcements with liquid crystalline phases of high-performance polymers may provide a pathway for overcoming the putative Achilles heel of structural nanocomposites—processing a wide range of filler loadings to generate large mechanical enhancements.

## Methods

### Materials

The monomers terephthaloyl chloride (TC) and isophthaloyl chloride (IPC) were purchased from Sigma Aldrich. Only freshly sublimed terephthaloyl chloride and isophthaloyl chloride were utilized for the polymerization reactions. The diamine monomer, 4,4′-diaminobiphenyl-2,2′-disulfonic acid hydrate (95%) (BDSA) was purchased from Alfa Aesar and purified before use. Polyethylene glycol 300 (PEG-300) was purchased form Sigma Aldrich. Natural graphite flakes from Sigma Aldrich were used to make graphene oxide. SpectraPor 1 dialysis membranes were purchased from Sigma Aldrich.

### Methods

Polymer synthesis. The PBDT and PBDI polymers with Na+ counter ions were synthesized according to the interfacial procedure reported by Sarkar et al.6 PBDT synthesis is as follows: A 2 L three-neck round-bottom flask equipped with a mechanical stirrer was charged with sodium carbonate 1.59 g (15 mmol), dry BDSA (2.58 g, 7.5 mmol), PEG 300 (2.4 g) and 500 mL deionized water. This mixture was stirred at 1000 RPM for ~15 min. After 15 min, TPC (1.52 g, 7.5 mmol) dissolved in 100 mL of chloroform was added to the reaction mixture and polymerized for 15 min. A rotary evaporator enabled removal of chloroform from the mixture and the polymer was obtained by precipitation of the aqueous solution in 2 L of acetone. The precipitate thus collected was redissolved in ~200 mL water and precipitated and filtered from 2 L of acetone. This procedure was repeated thrice—until pH of the aqueous solution was 7. PBDI was synthesized using a similar procedure; instead of TPC, IPC dissolved in dichloromethane was used as the diacid chloride solution. Both polymers were dried at 150 °C for 1 h in a vacuum oven prior to use. The measured inherent viscosity of PBDT and PBDI in water are ~30 dL·g−1 and ~4 dL·g−1—these values are consistent with previously reported values9.

Synthesis of graphene oxide. Graphite was oxidized using the Hummers method31. The work-up procedure to obtain liquid crystalline graphene oxide solution is as follows: The Hummers method yields a thick slurry that contains a mixture of graphene oxide, graphite oxide, unreacted graphite and salts of potassium and manganese. The slurry was filtered over a Buchner funnel and the filtrate collected. The filtrate was centrifuged at 500 RPM for 1 h to remove any residual graphitic impurities. The supernatant was washed with 200 mL water (1×), 300 mL of 30% HCl (1×) and with 200 mL ethanol (2×). After each washing step, the solution was subjected to 500 RPM centrifugation for 2 h and the supernatant collected. After all the washing steps, the resultant 1 L solution was subjected to 1.5 h of low-intensity bath sonication and the mixture centrifuged at 500 RPM for 30 min. The yellow-brown supernatant was separated from the sediment and collected in a beaker. The sediment from the centrifugation was added to water (≈50 mL) and bath sonicated for 1.5 h followed by subsequent centrifugation at 500 RPM for 30 min. This step was repeated until a clear supernatant was obtained. A total of ≈1 L supernatant was collected in this manner. The solution was dialyzed for 4 days using SpectraPor 1 Dialysis membranes to remove residual ionic impurities. The dialyzed solutions were subjected to 3500 RPM centrifugation for 1.5 h to fractionate the graphene oxide into isotropic and liquid crystalline fractions. The concentration was determined from thermo-gravimetric and UV-Vis spectroscopy measurements.

Polymer+GO nanocomposite synthesis. A typical hybrid mixture synthesis, for e.g. PBDT + GO with Ctotal = 4.9 wt.% and the nanocomposite film is as follows: 300 mg of pre-dried PDBT polymer is dissolved in 3 mL deionized water. This is added dropwise (over ≈15 min) to a bottle containing 3 mL 0.25 wt.% LC solution of GO while continuously mixing to homogenize the mixture. The solution was doctor bladed onto an untreated glass plate (gap = 1 mm, velocity ≈ 1 mm·s−1) and placed in an oven at 60 °C overnight resulting in a nanocomposite film. The film was removed from the glass plate by immersing the plate in an acetone bath.

A High-resolution JEOL scanning electron microscope (HR-SEM) was utilized to measure GO flake dimensions and study the cross-sections of the films. For statistical analysis of the GO flake dimensions, the graphene oxide flakes were first deposited on a Si wafer using a rudimentary Langmuir Blodgett approach based on the work by Cote et al.32 Graphene oxide samples were mixed with methanol in a 1:5 (water/methanol) ratio. This was done to obtain well-dispersed GO flakes at the air-water interface. This solution was carefully pipetted on to a water trough. A Si wafer was dipped into this solution by immersing it carefully and later dried in a vacuum oven at 80 °C overnight. This enabled us to avoid imaging problems due to deposition of the GO on top of each other that makes dimension analysis difficult. The operating conditions of the SEM are as follows: working distance = 8 mm, operating voltage 1 kV, probe current = 20 μA, and imaging mode utilized was the lower secondary electron image.

Transmission electron microscopy (TEM) imaging was performed using a FEI Tecnai TF20 electron microscope operating at 200 kV. The GO aqueous solution was diluted by a factor of 100. The diluted samples were deposited on to a Quantifoil holey carbon grid with Cu-200 mesh using a pipette. The carbon grids were dried in air at 25 °C for ≈30 min.

X-ray Photoelectron spectroscopy (XPS) measurements were performed using a Kratos Axis Ultra DLD X-ray Photoelectron Spectrometer. The measurements were performed at room temperature and at a chamber pressure of 10−6 mbar. The GO was deposited onto Au@Si substrates prior to analysis. The binding energy reported are within ±0.1 eV. The C/O ratio of GO was measured by dividing the atom percent of carbon by the atom percent of oxygen.

The nematic phase fraction (%) of PBDT solutions and PBDT + GO hybrid mixtures were analyzed by filling 5 mm NMR tubes and centrifuging them for 2 h at 600 RPM. For GO solutions, the filled NMR tubes were centrifuged at 8000 RPM for 2 h—similar results are achieved by leaving the tubes undisturbed at ambient conditions for ≈3.5 months. The nematic phase fraction (%) is calculated by dividing the height of the nematic phase by the total solution height. The centrifuged NMR tubes were placed between crossed polarizers on a white light background and imaged using an iPhone 8 camera.

A Leica DM-LM optical microscope equipped with crossed polarizers was used to image liquid crystalline samples. The samples were first transported in to a rectangular Vitrotrube® capillary (I.D. = 0.2 mm) by capillary action.

Transmission small angle X-ray scattering measurements on hybrid mixtures were carried out at the Life Science X-ray Scattering (LiX) beamline of NSLS-II. The X-ray energy was 13.5 keV (0.918 Å). The sample-to-detector distance was 3.23 m. The sample holder consisted of two mica plates (~20 micron thick) separated by a 0.75 mm acrylic spacer with a central aperture of 4.6 mm diameter. One of the mica plates was first glued to the spacer. The second mica plate was then placed onto the other side of the spacer (like a microscope cover slip), after the sample was pipetted into the aperture in the spacer. The angle between the incident X-ray beam and the mica plates was set at either α ≈ 15° (edge-on) or α = 90° (normal incidence) to analyze the orientation of PBDT + GO composite precursor solutions. In order to ensure that the beam cleared the spacer when the sample was rotated (up to 15°), the X-ray beam was focused to a spot size of ≈5 micron. The detector gaps were filled using centro-symmetry.

X-ray scattering studies on nanocomposite films were performed at room temperature both in-house, using a Bruker AXS D8 Discover diffractometer in transmission mode with a CuKα-radiation source, and at the BM26B DUBBLE beamline of the European Synchrotron Radiation Facility (ESRF), Grenoble, France. For every nanocomposite, four layers of the thin films were mounted on a support with the film surface either orthogonal to the beam direction, or nearly parallel (with an offset of ≈1°). In-house WAXS measurements were performed using a distance of 6 cm between the sample and the detector and an exposure time of 5 min. In-house SAXS was performed by placing the samples at a distance of 30 cm from the detector for time period of 10 min. Synchrotron measurements of composite films were performed using a beam wavelength of 0.827 Å/1.033 Å and a sample-to-detector distance of 0.173 m/2.468 m for WAXS/SAXS, respectively. A vacuum chamber was placed between the sample and detector in SAXS measurements to reduce the scattering due to air. For 2D WAXS synchotron patterns, the experimental semi-circular 2D WAXS patterns were mirrored along the equator for easier visualization.

Stress-strain analysis were performed using a RSA-G2 Solids Analyzer (TA Instruments) with a 32 N load cell. Free-standing films were cut into rectangular strips of approximate cross-sectional area 1.5 × 0.03 mm2 (width × thickness). A 10 mm gauge length at a constant linear displacement rate of 0.1 mm·min−1 was used for tensile measurements. The materials were found to be strain rate independent within the range of 0.01–1 mm·min−1 linear displacement rate. Specimens were tested under dry conditions at 25 °C under a nitrogen atmosphere. Specimens for dry tensile testing were treated at 200 °C for 20 min under nitrogen in the RSA-G2 forced convection oven to eliminate water. The samples were equilibrated at 25 °C under nitrogen before tensile measurements.

Dynamic mechanical thermal analysis (DMTA) was performed with a Perkin-Elmer Diamond DMTA. DMTA experiments on the films were performed at a frequency of 1 Hz at a heating rate of 2.0 °C/min using films having approximate dimensions of 20 × 3 × 0.020 mm.

## Data availability

All relevant data generated during and/or analyzed during the current study are available from the corresponding author upon reasonable request. No data in this paper are restricted in terms of availability. The source data underlying Figs. 2a, 4a and Supplementary Figs. 1, 2c, 3a, c, 5b, 7b, 9, and 10c are provided as a Source Data file.

## References

1. Naskar, A. K., Keum, J. K. & Boeman, R. G. Polymer matrix nanocomposites for automotive structural components. Nat. Nanotech. 11, 1026–1030 (2016).

2. Kinloch, I. A., Suhr, J., Lou, J., Young, R. J. & Ajayan, P. M. Composites with carbon nanotubes and graphene: An outlook. Science 362, 547–553 (2018).

3. Young, R. J. et al. The mechanics of reinforcement of polymers by graphene nanoplatelets. Compos. Sci. Technol. 154, 110–116 (2018).

4. Papageorgiou, D. G., Kinloch, I. A. & Young, R. J. Mechanical properties of graphene and graphene-based nanocomposites. Prog. Mater. Sci. 20, 75–127 (2017).

5. Mundoor, H., Park, S., Senyuk, B., Wensink, H. H. & Smalyukh, I. I. Hybrid molecular-colloidal liquid crystals. Science 360, 768–771 (2018).

6. Sarkar, N. K. & Kerhner, L. D. Rigid-rod water-soluble polymers. J. Appl. Poly. Sci. 62, 393–408 (1996).

7. Yang, W. et al. Self-assembling structure in a solution of a semirigid polyelectrolyte. Macromolecules 41, 1791–1799 (2008).

8. Wang, Y., Gao, J., Dingemans, T. J. & Madsen, L. A. Molecular alignment and ion transport in rigid rod polyelectrolyte solutions. Macromolecules 47, 2984–2992 (2014).

9. Gao, J. et al. Water and sodium transport and liquid crystalline alignment in a sulfonated aramid membrane. J. Memb. Sci. 489, 194–203 (2015).

10. Onsager, L. The effects of shape on the interaction of colloidal particles. Ann. Ny. Acad. Sci. 51, 627–659 (1949).

11. Wang, Y. et al. Double helical conformation and extreme rigidity in a rodlike polyelectrolyte. Nat. Commun. 10, 1–8 (2019).

12. Viale, S., Best, A. S., Mendes, E., Jager, W. F. & Picken, S. J. A supramolecular nematic phase in sulfonated polyaramides. Chem. Commun., 1596–1597 (2004).

13. Si, Y. & Samulski, E. T. Exfoliated graphene separated by platinum particles. Nano Lett. 8, 1679–1682 (2008).

14. Gomez-Navarro, C., Burghard, M. & Kern, K. Elastic properties of chemically derived single graphene sheets. Nano. Lett. 8, 2045–2049 (2008).

15. Kim, J. E. et al. Graphene oxide liquid crystals. Angew. Chem. Int. Ed. 50, 3043–3047 (2011).

16. Xu, Z. & Gao, C. Aqueous liquid crystals of graphene oxide. ACS Nano 5, 2908–2915 (2011).

17. Poulin, P. et al. Superflexibility of graphene oxide. PNAS 113, 11088–11093 (2016).

18. Stroobants, A. & Lekkerkerker, H. N. W. Liquid crystal phase transitions in a solution of rodlike and disklike particles. J. Phys. Chem. 88, 3669–3674 (1984).

19. Wensink, H. H., Vroege, G. J. & Lekkerkerker, H. N. W. Biaxial versus uniaxial nematic stability in asymmetric rod-plate mixtures. Phys. Rev. E 66, 041704-1–041701-13 (2002).

20. Kouwer, P. H. & Mehl, P. H. Full miscibility of disk- and rod-shaped mesogens in the nematic phase. J. Am. Chem. Soc. 125, 11172–11173 (2003).

21. Luckhurst, G. R., Sluckin, T. J. Biaxial Nematic Liquid Crystals: Theory, Simulation and Experiment Ch. 12 (John Wiley & Sons, Southampton, 2015)

22. Madsen, L. A., Dingemans, T. J., Nakata, M. & Samulski, E. T. Thermotropic Biaxial Liquid Crystals. Phys. Rev. Lett., 92, 145505-1–145505-4 (2004).

23. Luckhurst, G. R. A missing phase found at last? Nature 430, 413–414 (2004).

24. van der Kooij, F. M. & Lekkerkerker, H. N. W. Liquid-crystal phases formed in mixed suspensions of rod- and platelike colloids. Langmuir 16, 10144–10149 (2000).

25. Radler, J. O., Koltover, I., Salditt, T. & Safinya, C. R. Structure of DNA-cationic liposome complexes: DNA intercalation in multilamellar membranes in distinct interhelical packing regimes. Science 275, 810–814 (1997).

26. Picken, S. J., Aerts, J., Visser, R. & Norholt, M. J. Structure and rheology of aramid solutions: X-ray scattering measurements. Macromolecules 23, 3849–3854 (1990).

27. Every, H. A., van der Ham, L., Picken, S. J. & Mendes, E. Spontaneous homeotropic alignment in films of rigid–flexible polyelectrolyte complexes. Soft Matter 5, 342–345 (2009).

28. Morimune, S., Kotera, M., Nishino, T. & Goto, T. Uniaxial drawing of poly(vinyl alcohol)/graphene oxide nanocomposites. Carbon 70, 38–45 (2014).

29. Liu, Z., Xu, Z., Hu, Z. & Gao, C. Lyotropic liquid crystal of polyacrylonitrile-grafted graphene oxide and its assembled continuous strong nacre-mimetic fibers. Macromolecules 46, 6931–6941 (2013).

30. Rao, Y., Waddon, A. J. & Farris, R. J. The evolution of structure and properties in poly(p-phenylene-terephthalamide) fibers. Polymer 42, 5937–5946 (2001).

31. Hummers, W. S. & Offeman, R. E. Preparation of graphitic oxide. J. Am. Chem. Soc. 80, 1339–1339 (1958).

32. Cote, L. J., Kim, F. & Huang, J. Langmuir−Blodgett assembly of graphite oxide single layers. J. Am. Chem. Soc. 131, 1043–1049 (2009).

## Acknowledgements

We acknowledge Jianwei Gao’s (Delft University of Technology) help in the synthesis of PBDT and PBDI. We thank Jure Zlopasa (Delft University of Technology) for helpful discussion on nanocomposites and Ying Wang (Virginia Tech) for helpful discussions on X-ray scattering of PBDT. We also acknowledge M. Pisani (Università Politecnica delle Marche), D. Hermida-Merino (Netherlands Organization for Scientific Research, DUBBLE at ESRF) and C. Ferrero (ESRF) for support in the synchrotron XRD measurements. T.J.D. acknowledges his N.W.O. VIDI grant, project no. 07560, which supported a major part of this work. L.A.M. acknowledges the U.S. National Science Foundation under award number DMR 1810194. The LiX beamline is part of the Life Science Biomedical Technology Research resource, jointly supported by the National Institute of Health, National Institute of General Medical Sciences under Grant P41 GM111244, and by the Department of Energy Office of Biological and Environmental Research under Grant KP1605010, with additional support from NIH Grant S10 OD012331. NSLS-II is a U.S. Department of Energy (DOE) Office of Science User Facility operated for the DOE Office of Science by Brookhaven National Laboratory under Contract No. DE-SC0012704.

## Author information

Authors

### Contributions

M.H. contributed to conceptualization, synthesis, DMTA, SEM, in-house XRD, L.C. characterization, and composing/revising the paper. L.Y. performed and analyzed scattering of hybrid mixtures and revised paper. F.V. and O.F. performed and analyzed X-ray measurements of films and contributed to paper revision. R.v.d.W. contributed to synthesis and SEM measurements. R.J.F. contributed to synthesis, tensile measurements, and paper revisions. U.L. performed TEM measurements. B.N. and S.J.P. performed in-house X-ray measurements and contributed to paper revisions. L.A.M. contributed to paper revisions. S.J.P. and L.A.M. also aided in conceptualization. E.T.S. and T.J.D. contributed to conceptualization, data analysis and composing/revising the paper. T.J.D. secured funding and supervised the project.

### Corresponding author

Correspondence to Theo J. Dingemans.

## Ethics declarations

### Competing interests

The authors declare no competing interests.

Peer review information Nature Communications thanks Julia Kornfield and Robert Young for their contribution to the peer review of this work. Peer reviewer reports are available.

Publisher’s note Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

## Rights and permissions

Reprints and Permissions

Hegde, M., Yang, L., Vita, F. et al. Strong graphene oxide nanocomposites from aqueous hybrid liquid crystals. Nat Commun 11, 830 (2020). https://doi.org/10.1038/s41467-020-14618-0

• Accepted:

• Published:

• DOI: https://doi.org/10.1038/s41467-020-14618-0

• ### Fingerprinting the nonlinear rheology of a liquid crystalline polyelectrolyte

• Ryan J. Fox
• Wei-Ren Chen
• Theo J. Dingemans

Rheologica Acta (2020)