Author Correction: Air-stable superparamagnetic metal nanoparticles entrapped in graphene oxide matrix

An amendment to this paper has been published and can be accessed via a link at the top of the paper.

S tudies on the nanoworld have revealed many new fascinating phenomena and materials with novel physicochemical properties arising from quantum and surface effects 1 . Particularly notable are finite-size effects-quantum phenomena caused by confinement of electron motion in a restricted volume, which gives the system a non-zero lowest energy level and leads to quantization of the available electronic energy levels. Superparamagnetism is a nanoscale phenomenon that originates from finite-size effects in magnetic nanosystems containing transition metals, such as iron, cobalt or nickel [2][3][4] . The generally accepted model of superparamagnetism assumes a priori that a single-domain state is established once the particle size falls below a characteristic threshold value beneath which magnetic domain formation does not reduce the system's overall magnetic energy any longer. Under such conditions, a magnetic nanoparticle can be described in terms of a giant magnetic moment-a superspin-that is equal to a vector sum of all of its atomic and/or ion magnetic moments. As temperature increases, thermal fluctuations become energetically competitive with the particle's magnetic anisotropy. Above a certain threshold temperature, which is determined by the particle's size, thermal fluctuations become dominant and cause the superspin to fluctuate spontaneously between anisotropyfavored orientations. This is known as a superparamagnetic (SP) relaxation, a thermally-driven process that is characterized by the relaxation time between superspin reversals [2][3][4] . Once the SP regime is established, the superspin can be easily controlled by applying an external magnetic field, causing the system to prioritize anisotropy-preferred orientations that are aligned with the applied field. In real systems, this theoretical picture of superparamagnetism is frequently complicated by factors such as interparticle interactions and surface disorders 5,6 .
Together with giant magnetoresistance, superparamagnetism is regarded as one of the eminent nanomagnetic phenomena, and it is considered to have diverse potential applications in practical fields including physics, chemistry, biomedicine and environmental sciences. For example, it was proposed that SP MnAs nanoparticles could be used to create so-called spin batteries in which magnetic energy is converted into electrical energy via magnetic quantum tunnelling 7 . In addition, it was demonstrated that micrometer-sized reinforcing particles coated with SP nanoparticles could be used to produce synthetic composites in which the three-dimensional distribution and orientation of reinforcing particles can be tuned by application of small magnetic fields 8 . Superparamagnetism has also been exploited in the construction of self-assembled photonic crystals with stop bands that can be tuned using external magnetic fields, leading to potential applications in colour displays, rewritable signage and sensors 9,10 . SP Mn clusters have been used as model systems for studying the quantum-mechanical tunnelling of magnetization in the nanoworld 11 . Most importantly, introduction of SP nanoparticles (especially those based on iron oxides) in various biomedical fields has been proposed to improve efficiency of diagnostic and therapeutic methods minimizing the side effects due to controlled/well-conditioned presence in a living organism and targeted treatment. They have been found effective as contrast agents in magnetic resonance imaging, magnetic carriers for targeted drug delivery and heating elements for the induction of magnetically-assisted hyperthermia [12][13][14][15][16][17] ; some of iron-oxidebased nanosystems were already clinically approved and are used in clinics in magnetic resonance imaging (MRI) and treatment (for example, Lumirem, GastromMARK, Sienna þ , Feraheme) 18 .
Iron oxide (Fe 3 O 4 and g-Fe 2 O 3 ) nanoparticles are the most widely investigated SP nanomaterials due to their low cost, ready availability, numerous optimized synthetic routes and promising biochemical properties (that is, non-toxicity, biodegradability and biocompatibility) [12][13][14] . They become SP at diameters of oB15 nm. However, as their size falls below this threshold, the magnitude of their superspin declines markedly due to finitesize effects and formation of magnetically disordered surface layers, limiting their efficiency in practical applications and hampering the development of new ones 5 . Moreover, the net magnetization achievable in these SP materials is determined by the presence of specific magnetically active elements, their distribution within the crystal lattice and strength of associated magnetic exchange interactions, all of which are properties that nanoparticles inherit from their bulk counterparts used in their preparation.
Theory indicates that these drawbacks could potentially be eliminated by replacing metal oxide and alloy nanoobjects with nanoparticles of 3d-block metals such as zero-valent iron, which possess much higher magnetizations that are fully inherited from their bulk forms 19 . Non-interacting magnetic nanometal particles with diameters of oB5 nm have been predicted to exhibit superparamagnetism 20 , but they are very difficult to synthesize because such small nanometals are unstable under ambient conditions and are rapidly oxidized into respective oxide phases. The only previously reported synthesis of such systems is the preparation of Co/CoO core-shell systems that exhibit SP behaviour at elevated temperatures 21 .
We hypothesize that such metal nanoparticles could be efficiently stabilized if they were trapped in the structure of a suitable host matrix. Moreover, if the matrix were biocompatible, the resulting nanocomposite systems might be viable alternatives to oxide-based nanoparticle assemblies in a range of applications, exhibiting much stronger responses to external magnetic fields and enhanced relaxation. Graphene oxide (GO) was identified as an ideal candidate matrix due to its biocompatibility and ability to host various organic and inorganic species and molecules [22][23][24][25] . Importantly, in vitro experiments and in vivo cytotoxicity studies showed that GO generally exhibits low cytotoxicity (that is, non-toxic at clinically, diagnostically relevant concentrations up to 500 mg l -1 ) and relatively high cellular uptake, making GO-based materials suitable candidates in various biomedical applications involving cell labelling, intracellular imaging and drug delivery [25][26][27][28][29] . Moreover, hybrid materials formed by combining graphene and its derivatives with magnetic nanoparticles could have uses in other fields including energy storage, biosensing, theranostics and environmental remediation 30 . Here, we report (i) the use of GO as a chemical trap enabling metal nanoparticle stabilization (by interactions with oxygen-containing functional groups in the thermally reduced GO structure), (ii) the synthesis of an air-and solution-stable SP nanometals, (iii) potential of free external surface of thermally reduced GO network for secondary functionalization with large surface area and (iv) the experimental (proof-of-concept) demonstration that the iron/GO hybrid system could be viewed as an interesting candidate in MRI applications once its in vivo bio-related features are assessed in detail.

Results
Physicochemical characterization of developed iron/GO hybrid system. Our synthetic approach is based on impregnation of GO with a suitable metal salt (in the first case, iron nitrate) followed by thermal reduction under a hydrogen atmosphere. This allows the metal content of the resulting hybrid to be specified simply by varying the quantity of metal salt used in the synthesis (for details, see 'Methods' section). Three composites containing 5, 10 and 20 wt.% of iron embedded in a thermally reduced graphene oxide (TRGO) matrix were prepared and designated Fe(5)/TRGO, Fe(10)/TRGO and Fe(20)/TRGO, respectively.
Basic information on the structure, size and morphological arrangements of nanocomposites was obtained by transmission electron microscopy (TEM) and high-resolution transmission electron microscopy (HRTEM) experiments including chemical mapping employing a combined scanning transmission electron microscopy/energy-dispersive X-ray spectroscopy (STEM/EDS) and selected area electron diffraction (SAED) analysis (Fig. 1). Furthermore, magnetization measurements were conducted to characterize the composites' magnetic properties ( Supplementary  Fig. 1). The microscopic images in Fig. 1 indicate the presence of ultrasmall particles in all the studied hybrids, demonstrating the unique stabilizing properties of the TRGO matrix, however, with clear differences in sizes and structures of iron nanoparticles in each composite that reflect the concentrations of iron nitrate used in their preparation. If the iron concentration is relatively low (5 wt.%), a core-shell architecture is promoted with a core of zero-valent iron and a stabilizing iron(III) oxide shell (Fig. 1a,b). Importantly, the Fe(5)/TRGO hybrid contains ultrasmall SP nanoparticles with diameters below 5 nm, which is consistent with the blocking temperature, T B , of B26 K determined from magnetization measurements ( Supplementary Fig. 1a). Presumably, the low iron concentration present during formation of the Fe(5)/TRGO hybrid guarantees that the amount of oxygen liberated from the TRGO matrix is sufficient to enable complete surface oxidation of iron nanoparticles as they form, yielding the observed compact iron(III) oxide shell. The presence of oxidic layer is demonstrated by temperature dependence of the hybrid's magnetization, in particular, the second T B at B55 K. If the concentration of iron is increased to 10 wt.%, formation of peculiar ring-like assemblies composed of ultrasmall iron nanoparticles (o5 nm) is observed (Fig. 1c,d). No oxidic shell is observed in this case; the rather homogeneous distribution of oxygen seen in the chemical map for the Fe(10)/TRGO hybrid (Fig. 1e,f) corresponds to oxygen-bearing functional groups in the structure of the TRGO matrix. This specific stabilization of SP iron in Fe(10)/TRGO is probably favored because the greater amount of iron relative to the available oxygen prevents formation of a compact iron(III) oxide layer. Following the X-ray photoelectron spectroscopy (XPS) and Raman spectroscopy data analyses (see below), we believe that these nanorings are stabilized by binding interactions between surface Fe(III) species and oxygen-containing functionalities in the TRGO matrix. Magnetization measurements on the Fe(10)/TRGO hybrid indicated that it shows only one T B of B26 K ( Supplementary  Fig. 1b), which is consistent with the presence of SP iron nanoparticles with no iron oxide phase. Finally, the use of an even greater concentration of iron during preparation of the Fe(20)/TRGO system yielded larger iron particles (30-50 nm), which again formed ring-like assemblies inside the TRGO matrix (Fig. 1g,h). It appears that at such high iron concentration, the relative concentration of oxygen is too low for oxidic shell formation. The unusual ring-like architecture is probably preserved because iron nanoparticles grow inside cavities that are formed within the TRGO sheets during the thermal process ( Supplementary Fig. 2). Unlike the samples prepared with iron loadings of 5 and 10 wt.%, the magnetization data for the Fe(20)/TRGO hybrid do not reveal any evidence of SP behaviour, presumably because of its comparatively large crystals ( Supplementary Fig. 1c). In light of its high content of particles below the SP limit and lack of an oxidic shell as well as the unique morphology of its iron nanoparticles, the Fe(10)/TRGO hybrid was selected for further study.
Before performing more detailed analyses of the Fe(10)/TRGO hybrid, samples were subjected to a clean-up procedure involving prolonged sonication followed by filtration. The 'purification' protocol removed non-embedded and clustered iron nanoparticles from the surface of the hybrid, enabling the isolation of a more pure material comprising only the Fe(10)/ TRGO hybrid with embedded SP iron nanoparticles (for details, see 'Methods' section), preserving their ring-like assemblies. The rings have diameters of 20-100 nm; HRTEM imaging ( Fig. 1c,d) revealed that they are made up of ultrasmall nanoparticles with an average diameter of B3.5 nm whose size distribution is described by a Gaussian function (see the inset of Fig. 1d). The particles were confirmed to be iron nanoparticles by SAED analysis (see the inset of Fig. 1c, which shows spots clearly assignable to the (110), (200) and (211) planes of a-Fe) and by their measured interplane distance of 2.86 Å, which corresponds to the (100), (010) or (001) crystal planes of the body-centeredcubic (bcc) structure of a-Fe (see the inset of Fig. 1d). The chemical composition of the Fe(10)/TRGO hybrid and chemical bonds present in the system were investigated by XPS and Raman spectroscopy. The survey XPS spectrum recorded for the Fe(10)/ TRGO hybrid together with atomic adsorption spectroscopy (AAS) analysis confirm the presence of iron species amounting to B10 wt.% in the sample. The high-resolution C1s XPS pattern of the Fe(10)/TRGO hybrid ( Supplementary Fig. 3a) shows a relatively low level of oxidation, as expected for TRGO 31 , with dominating C-C (sp 2 ) (at 284.74 eV) and C-C (sp 3 ) (at 285.57 eV) peaks, which together account for almost 80% of the spectral area. The dominant oxygen-bearing groups feature C-O and C ¼ O bonds; O-C ¼ O groups contribute rather marginally. The C1s XPS spectrum of the Fe(10)/TRGO hybrid contains no evidence of Fe-C bonding. In contrast, not only the highresolution O1s XPS pattern of the Fe(10)/TRGO hybrid ( Supplementary Fig. 3b) exhibits evidence of the expected C-O and C ¼ O bonds but also of Fe-O bonds with a binding energy of 530.5 eV 32 . Because the intensity of this peak is very low, it can be attributed to a partial stabilization and oxidation of the surface iron atoms via interactions with oxygen atoms belonging to functional groups of the TRGO matrix. The Raman spectrum of the Fe(10)/TRGO hybrid is shown in Supplementary Fig. 4. The peaks at 1,345, 1,580, 2,663 and 2,927 cm -1 are typical of TRGO, and were assigned to the D, G, 2D and D þ G bands, respectively 33 . Most importantly, the intensity of the 2D peak is much lower than that of the G peak, indicating that the TRGO nanosheets of the hybrid material are few-layered. The space restrictions imposed by the few-layered architecture combined with the stabilizing effects of the TRGO's oxygen functionalities are presumably important in enabling the entrapment of the iron nanoparticles and the preservation of their chemical and morphological properties even at room temperature. The presence and stabilization of iron nanoparticles are evidenced by the peaks at 490 and 592 cm -1 , which can be assigned to Fe-O bonds 34 in accordance with XPS data. 57 Fe Mössbauer spectroscopy was then used to investigate the structural and magnetic features of the Fe(10)/TRGO nanocomposite in more details. The room-temperature 57 Fe Mössbauer spectrum of the Fe(10)/TRGO hybrid is dominated by a singlet with a zero isomer shift ( Fig. 2a; Supplementary Table 1), indicating that the ultrafine a-Fe nanoparticles in the hybrid material are in the SP state at room temperature and within the measuring time window of the Mössbauer technique (B10 -8 s). At 50 K, a sextet emerges in addition to the singlet component (Fig. 2b); the hyperfine Mössbauer parameters for this sextet also correspond to a-Fe (Supplementary Table 1). The appearance of sextet component is attributed to the magnetic blocking of some a-Fe nanoparticles. As the temperature is lowered further, the spectral area of the sextet increases at the expense of that for the singlet ( Fig. 2c; Supplementary Table 1), which is typical for a system with magnetic nanoparticles of varied sizes undergoing a transition from the SP regime to a magnetically blocked regime.
However, the singlet persists even at 5 K, demonstrating that the superspins of the smallest iron nanoparticles continue to exhibit SP fluctuations even at this low temperature, a feature that has never previously been observed for any metal/metal oxide/metal alloy nanoparticles. Remarkably, Mössbauer hyperfine parameters derived from the sextet component at 5 K are practically identical to those frequently reported for bulk a-Fe (isomer shift, d, of 0.12 mm s -1 , quadrupole splitting, DE Q , of 0.00 mm s -1 and hyperfine magnetic field, B hf , of 33.1 T). In particular, zero quadrupole shift and negligible decrease in B hf indicate a high degree of symmetry in the local environment of the iron nuclei and the presence of a fully developed magnetic structure, respectively. This implies that finite-size and surface effects have less influence on the physical properties of the nanoparticles in the hybrid material than they do in comparably sized iron oxide nanoparticles 1 . Ultrafine iron nanoparticles with sizes of B2 nm whose 57 Fe Mössbauer spectra feature singlets at low temperatures (50 K) were reported by Bodker et al. 35 , Margeat et al. 36 and Lacroix et al. 37 . However, none of these systems were shown to be air-stable and they would probably be rapidly converted into iron oxide phases on exposure to air. Importantly, the relative spectral area of the Fe(III) doublet component is B20% in all of the 57 Fe Mössbauer spectra of the Fe(10)/TRGO hybrid (Fig. 2), indicating that the SP/paramagnetic behaviour of the Fe(III) species in the hybrid remains constant over the entire studied temperature interval, which has never previously been observed for any iron(III) oxide phase of crystalline or amorphous origin 38,39 . This is further evidence that the octahedrally coordinated Fe(III) ions present in this system form bonding interactions with oxygen functionalities in the TRGO matrix that chemically stabilize iron nanoparticles. The remarkable magnetic properties of the Fe(10)/TRGO nanocomposite were further studied by performing magnetization measurements. At 5 K, the hysteresis loop of the Fe(10)/TRGO hybrid shows a non-zero coercivity and remanence   . 3a), indicating that a majority of the iron nanoparticles are in a magnetically blocked state. The uniform arrangement of all the atomic magnetic moments inside the nanoparticles is demonstrated by the saturation of the hybrid material's magnetization by applied fields as weak as B1 T (Fig. 3a). The saturation tendency of iron nanoparticles under weak applied magnetic fields is surprising in contrast to the behaviour of metal oxide (iron oxide) nanoparticles with similar average particle sizes, which generally do not exhibit complete magnetic saturation even under applied fields of up to 5 T (that is, the applied field is not strong enough to overcome the effects of the iron oxide nanoparticles' local and surface magnetic anisotropies, which imprint specific and more energetically favourable orientations on the magnetic moments of the atoms around the defects and in the surface layers of the nanoparticles). This implies that the surface magnetic anisotropy of the iron nanoparticles in the Fe(10)/TRGO hybrid material is much smaller than that in iron oxide nanoparticles of similar size. As the temperature is raised, superspins of iron nanoparticles gradually become unblocked and enter the SP regime. At 300 K, no hysteresis is observed (Fig. 3a), meaning that all of the magnetic nanoparticles in the hybrid material are in the SP state within the time scale of the magnetization measurements (B10 s). This conclusion is further supported by the zero-fieldcooled (ZFC)/field-cooled (FC) magnetization curves; the ZFC magnetization curve shows a maximum at around 26 K, which corresponds to average T B for iron nanoparticles of the most abundant size (Fig. 3b). The two curves diverge at around 40 K (Fig. 3b), which corresponds to the so-called irreversibility temperature, T irr , that is, the temperature at which the largest iron nanoparticles in the system enter the low-temperature magnetically blocked regime. The difference between T B and T irr can be regarded as a quantitative measure of the particle size distribution; the small difference between these values indirectly suggests a narrow particle size distribution in agreement with TEM data. Thus, the TRGO matrix is a very efficient trap for stabilizing ultrasmall nanoparticles and preventing their growth.
There is no observable magnetic blocking of the Fe(III) environment, which interacts directly with the TRGO matrix. This excludes the possibility that the hybrid material contains iron oxide phases because such phases are always magnetically ordered at 5 K, even in the case of ultrasmall amorphous nanoparticles/shells. If the magnetization values are recalculated to reflect the contribution of iron to the total mass of the hybrid material and the magnetic response of TRGO is subtracted, the nanoparticles' saturation magnetization, M S , is almost 185 Am 2 kg -1 at 300 K, one of the highest values observed in the SP state for any metal-oxide-based or alloy-based system. Remarkably, for such small iron nanoparticles, the M S value is only B15% lower than that of bulk a-Fe (B215 Am 2 kg -1 ). As a result of a high magnetization at room temperature, the Fe(10)/TRGO hybrid responds strongly even to simple hand-held magnets ( Supplementary Fig. 5), which could be extremely useful for magnetic targeting and separation in biomedical and environmental applications.
The results imply that in the Fe(10)/TRGO composite, finitesize and surface effects do not significantly affect the magnetic response of the entrapped iron nanoparticles. Conversely, metal oxide nanoparticles 5 exhibit markedly reduced M S values and a strong tendency towards non-saturation of magnetization in high applied fields as their size is reduced. As predicted by theoretical studies 40 , differences in the influence of finite-size and surface effects can be understood by considering the distinct mechanisms that give rise to magnetic ordering in metals and their oxides, and the way in which electrons occupy available electronic energy levels in the clusters 19 . For metal oxide nanoparticles, atomic magnetic moments are ordered via superexchange interactions in which oxygen orbitals serve as mediators between magnetically active atoms. As the particle size of metal oxides is reduced, the strength of these magnetic bonds declines because the corresponding chemical bonds are weakened and there is more pronounced symmetry breaking in the nanoparticle's surface layers. Both of these effects are manifested in lower magnetization values 5 . In contrast, the magnetic ordering of metal nanoparticles is governed by (i) direct exchange interactions if there is direct overlap between localized electronic orbitals on adjacent magnetically active sites and (ii) Ruderman-Kittel-Kasuya-Yosida (RKKY) interactions in which conduction electrons serve as mediators of magnetic interactions between atomic magnetic moments. Iron nanoparticles entrapped in the TRGO matrix are not subject to marked weakening of RKKY interactions with decreasing particle size, retaining thus high M S values. Moreover, the superspin of metal nanoparticles may even increase as they get smaller because electrons become increasingly likely to occupy configurations that favour unpaired atomic spins 41 .
Proof-of-concept demonstration of iron/GO hybrid system in MRI. To demonstrate the bio-applicability of the Fe(10)/TRGO, we performed additional analyses and post-treatment experiments. Importantly, the chemical nature (and hence, magnetic features) of entrapped iron nanoparticles was stable to prolonged storage (30 days) in air or a physiological solution as demonstrated by the 57 Fe Mössbauer spectra (Supplementary Fig. 6; Supplementary Table 2). For potential bio-applications, the Fe(10)/TRGO nanocomposite was modified with polyethylene glycol (PEG), which is commonly used for surface functionalization of carbon-based nanomaterials to increase their hydrophilicity and biocompatibility 25 . As can be clearly seen in Supplementary Fig. 7, PEGylation drastically increased the colloidal stability of the Fe(10)/TRGO hybrid in both physiological and acidic solutions.
To assess the biocompatibility of the Fe(10)/TRGO and Fe(10)/TRGO/PEG systems, standard viability experiments based on the MTT assay were performed using NIH/3T3 mouse fibroblasts (Fig. 4a). Neither dispersion exhibited any discernible toxicity towards tested cells at concentrations up to 250 mg ml -1 , implying that both hybrid systems can be viewed as non-toxic in terms of in vitro and in vivo clinically, diagnostically relevant concentrations. In addition, we performed in parallel microscopic analysis of the cells labelled with the same concentrations of Fe(10)/TRGO/PEG particles as used in the MTT assay. We did not observe any significant changes in the cell morphology, proliferation or deadheration of cells during the 24 h compared with control cells (Supplementary Fig. 8).
These results show that the PEGylated Fe(10)/TRGO hybrid is chemically and colloidally stable, hydrophilic, biocompatible and does not cause any in vitro toxic effects at relatively high concentrations. All of these factors support its potential utility as an MRI contrast agent for improving the quality of T 2 -weighted images. Because T 2 spin-spin relaxation times depend on the magnitude of the magnetic moment among other things, the high saturation magnetization of entrapped iron nanoparticles in the Fe(10)/TRGO/PEG hybrid should encourage negative contrast properties. Indeed, when employing a 9.4 T MRI scanner, the hybrid exhibited a much higher r 2 relaxivity (153 mM -1 s -1 ) than was achieved with FeraSpin XXL, the commonly used commercial SP iron oxide (SPIO)-based T 2 contrast agent (64.3 mM -1 s -1 , Supplementary Fig. 9a). Importantly, the ratio of r 2 /r 1 relaxivities for the Fe(10)/TRGO/PEG system was calculated to be 728. Such a high r 2 /r 1 ratio greatly enhances negative contrast properties in T 2 -weighted imaging compared with those exhibited by the commercial FeraSpin XXL agent (see the phantom experiment results in Supplementary Fig. 9c). To compare its contrast features to those of other previously clinically approved MRI contrast agents, the r 1 and r 2 relaxivities for Fe(10)/TRGO were also measured under a field of 4.7 T and compared with reference values from the literature (Supplementary Fig. 9b; Supplementary Table 3) 42 . This analysis yielded r 2 and r 2 /r 1 values of 163 mM -1 s -1 and 398 mM -1 s -1 , respectively, which are comparable to those of non-SPIO currently used MRI contrast agents 42 and higher than those reported for any SPIO-based contrast agent previously clinically approved in MRI diagnostics (for example, Lumirem, GastromMARK, Sienna þ , Feraheme, Resovist, Feridex and so on) 18,37 . Moreover, the relaxivity characteristics observed for the Fe(10)/TRGO hybrid are broadly comparable to the most advanced metal-oxide-or metal-alloy-based systems that have been reported in the literature and are in the pre-clinical stage (before potential clinical approval) [43][44][45] .
On the basis of these promising in vitro results, we performed a preliminary (proof-of-concept) in vivo MRI experiment with the Fe(10)/TRGO/PEG composite. Before in vivo application, we checked the hydrodynamic size of the Fe(10)/TRGO/PEG system by optical microscopy (Supplementary Fig. 10); it is clearly seen that in the sample after PEGylation, sonication and size fractionation by weak centrifugation, particles of sizes of o1 mm appear, stable in phosphate-buffered saline (PBS), which can be used for safety intravenous applications (according to the veterinary rules). Then, after intravenous administration into the tail vein of a healthy mouse, we monitored the hybrid's bio-distribution and contrast effects using a 9.4 T MR scanner (for details, see 'Methods' section). A significant decrease in the signal intensity was observed within a few minutes of hybrid administration, primarily in the liver and kidneys (Fig. 4b,c). This is consistent with the behaviour observed with most frequently used iron-oxide-based intravenous contrast agents for MRI. Here, we stress that these data provide just preliminary information on potential applicability of the Fe/TRGO systems in MRI and definitely, further detailed in vitro/in vivo studies assessing a complex bio-related features of the hybrid such in vitro/in vivo stability, toxicity, bio-distribution and bio-half time are highly required in future.
Generalization of the concept of preparing air-stable nanometals with GO. Finally, the potential for extending the concept of thermally induced entrapment in few-layered TRGO sheets to other metals was tested by preparing Co(10)/TRGO and Ni(5)/TRGO nanocomposites with 10 and 5 wt.% of cobalt and nickel inside TRGO, respectively, as checked by the AAS technique. Figure 5a,b show selected TEM/HRTEM images of the resulting Co(10)/TRGO hybrids, which feature ring-like superstructures composed of ultrasmall cobalt nanoparticles that closely resemble those seen in the Fe(10)/TRGO system. The material's measured interplane distance of 2.50 Å corresponds well to (100) or (010) crystal planes of cobalt. Nanoparticles have similar dimensions (below 6 nm) to those of the Fe(10)/TRGO hybrid and exhibit SP behaviour at room temperature (with T B at B22 K, Supplementary Fig. 11). The predominant nanostructures observed in the Ni(5)/TRGO hybrid were core-shell structures with nickel nanoparticle cores and stabilizing NiO shells (Fig. 5c-e), like those seen in the Fe(5)/TRGO nanocomposite. Importantly, nickel nanoparticles were ultrasmall (o6 nm) and showed the expected room-temperature SP characteristics with T B of B15 K (Supplementary Fig. 12). The slightly lower T B for These results clearly confirm the universality of our approach for preparing metal nanoparticles by chemical impregnation of GO with a suitable metal salt followed by thermal reduction to achieve effective entrapment and stabilization of SP (iron, cobalt, nickel) nanometals inside the TRGO matrix (Fig. 6). Three factors appear to be crucial for their stabilization and controlling the morphological arrangement of resulting nanoparticles: (i) spatial restrictions on nanoparticle growth imposed by the few-layered TRGO matrix; (ii) oxygen functionalities of the TRGO matrix, which act as chemical traps that stabilize the nanoparticles by forming chemical bonds with surface metal atoms; (iii) initial concentration of metal in the system, which is important because it determines the metal-to-oxygen ratio, and thereby controls the size and morphological arrangement of the formed nanoparticles, dictating formation of core-shell or nanoring structures. In addition, free external surface of TRGO network with large surface area offers a secondary functionalization with biomolecules and/or drugs. Importantly, the presented method for nanometal entrapment appears to be very general: it can also be used to prepare ultrasmall noble metal nanoparticles (below 5 nm) if a suitable precursor salt is used, as demonstrated by the synthesis of an Au(10)/TRGO nanocomposite (Fig. 5f-h) with 10 wt.% of gold trapped inside the TRGO matrix as checked by the AAS technique. In such cases, the TRGO matrix presumably only imposes spatial restriction with no chemical stabilization of the noble metal.

Discussion
We developed a universal method for the synthesis of ultrasmall metal (iron, cobalt, nickel) nanoparticles that exhibit SP behaviour even at room temperature over a wide range of time scales (from 10 -8 to 10 s). The metal nanoparticles are grown and entrapped inside a few-layered two-dimensional TRGO matrix, where they are stabilized by interactions with oxygen-containing functional groups in the TRGO structure. By varying the initial concentration of the metal salt used in the synthesis, it is possible to obtain metal nanoparticles with either ring-shaped superstructures or core-shell architectures. If placed in an external magnetic field, the Fe/TRGO material exhibits a strong magnetic response, with the iron nanoparticles' saturation magnetization reaching almost 185 Am 2 kg -1 even under a 1 T field. A PEG-functionalized Fe/TRGO hybrid exhibited enhanced colloidal stability and in vitro biocompatibility, and proved to be a promising powerful T 2 negative contrast agent for MRI, with contrast properties comparable to or better than most commercially used MRI agents. We believe that TRGO trapping is a generally applicable method for the synthesis of nanometals and alloys (for example, FePt nanoparticles) with particle sizes and morphologies that can be controlled by careful selection of metal precursors that are used and their concentrations. This could facilitate development of new nanotechnologies that exploit entrapped SP nanometals for MRI and targeted drug delivery or to create energy materials (spin batteries) and sensors. Moreover, this method provides a space to expand the diverse applications of TRGO by enabling the preparation of TRGO derivatives that have clean surfaces while still enabling magnetic separation and reusability.

Methods
Samples preparation. Firstly, GO was synthesized similarly to the Hummers method. Graphite (Sigma-Aldrich, 5 g) and sodium nitrate (Sigma-Aldrich, 2.5 g) were stirred with sulphuric acid (Sigma-Aldrich, 98%, 115 ml). The mixture was then cooled to 0°C. Potassium permanganate (Sigma-Aldrich, 15 g) was then added over a period of 2 h. During next 4 h, the reaction mixture was allowed to reach room temperature before heating to 35°C for 30 min. The reaction mixture was then poured into a flask containing deionized water (250 ml) and heated to 70°C for 15 min. The mixture was then poured into deionized water (1 l). The unreacted potassium permanganate and manganese dioxide were removed by the addition of 3% hydrogen peroxide (Sigma-Aldrich). The reaction mixture was then allowed to settle and decant. The obtained GO was then purified by repeated centrifugation and redispersing in deionized water until a negative reaction on sulphate ions was achieved. GO slurry was then dried for 48 h in a vacuum oven at 50°C. A sample containing iron nanoparticles trapped in a TRGO matrix was then prepared by the thermal treatment of GO (200 mg), impregnated with Fe(NO 3 ) 3 Á 9H 2 O (Sigma-Aldrich; 159 mg, that is, 10 wt.%) under an atmosphere of hydrogen. The resulting mixture was then dried in a vacuum oven at 50°C for 48 h, after which the dried nanocomposite was placed inside a quartz glass capsule connected to a magnetic manipulator. The loaded capsule was placed inside a horizontal quartz glass reactor that was repeatedly evacuated and flushed with nitrogen. The nitrogen atmosphere in the reactor was then replaced with hydrogen and the sample was transferred to the reactor's hot zone, where it was heated at 1,000°C for 10 min under an atmosphere of pure H 2 (1 bar pressure). Finally, a hydrogen flow of 1,000 ml min -1 was used to remove the gaseous by-products of the reaction process. After the reaction procedure, the composite, denoted as Fe(10)/TRGO, was removed from the hot zone and the entire apparatus was flushed with nitrogen before being opened. The same synthetic procedure was used to prepare the hybrids with different concentration of iron in the TRGO matrix as well as nanocomposites consisting of TRGO matrix with cobalt, nickel and gold nanoparticles entrapped inside. The samples are denoted as Fe (5) The Fe(10)/TRGO nanocomposite was further purified by post-processing treatment because 57 Fe Mössbauer spectroscopy indicated that the unpurified reaction product involved three iron-containing fractions (Supplementary Table 1): (i) ultrasmall SP iron nanoparticles embedded in the TRGO matrix that give rise to a singlet component in the room-temperature 57 Fe Mössbauer spectrum, (ii) larger ferromagnetic/magnetically blocked iron nanoparticles that presumably formed on the air-reachable surfaces of the TRGO nanosheets and give rise to a sextet component and (iii) iron(III) species covering the surfaces of the larger iron nanoparticles, which interact with oxygen atoms from TRGO matrix and give rise to a doublet. To release the weakly bound larger ferromagnetic iron nanoparticles formed on the surface of the TRGO sheets network, the Fe(10)/TRGO hybrid was re-dispersed in distilled water (1 mg ml -1 ) and sonicated in an ultrasound bath for 5 min. The resulting dispersion was filtered through a Millipore syringe filter (200 nm) to remove the liberated larger nanoparticles while trapping the Fe(10)/TRGO hybrid, which was then re-dispersed in water, centrifuged and dried under vacuum.
To increase biocompatibility and hydrophilicity, the surface of the Fe(10)/TRGO hybrid was non-covalently stabilized by PEG 3,000 (O-(2-aminoethyl) polyethylene glycol) from Sigma-Aldrich. Briefly, before PEGylation process, we applied a secondary more intensive (50 kHz) and prolongated (2 h) sonication to release and remove all the Fe/Fe(III) species attached to the surface. Then, 15 mg of Fe(10)/TRGO nanocomposite was mixed with 15 mg of PEG in 15 ml of water and sonicated in ultrasound bath for 4 h. The prepared Fe(10)/TRGO/PEG hybrid was four times centrifuged at 10,000g for 30 min and re-dispersed in water and physiological solution for subsequent in vitro and in vivo study.
Characterization techniques. The concentration of iron, cobalt, nickel and gold in the respective hybrid material was determined by AAS technique with flame ionization using a ContrAA 300 instrument (Analytik Jena AG, Germany) equipped with a high-resolution Echelle double monochromator having a spectral bandwidth of 2 pm at 200 nm and a continuum radiation source (xenon lamp). The absorption line at 248.3, 240.7, 232 and 242.8 nm was used for iron, cobalt, nickel and gold analysis. TEM/HRTEM was used to conduct particle size measurements and morphological studies of solid samples. All the TEM experiments were performed with a JEOL JEM-2010 TEM equipped with a LaB 6 cathode operated at an accelerating voltage of 160 kV with a point-to-point resolution of 0.194 nm. A drop of high-purity distilled water was placed onto a holey carbon film supported on a copper-mesh TEM grid (SPI Supplies, USA) and air-dried at room temperature. The dimensions of the nanoparticles were measured using the ITEM programme. HRTEM images were obtained using a HRTEM TITAN 60-300 microscope with an X-FEG type emission gun, operating at 300 kV. This instrument is equipped with a Cs image corrector and a STEM/HAADF detector; its point resolution is 0.06 nm in the TEM mode. Elemental mappings were obtained by STEM/EDS technique with an acquisition time of 20 min. For HRTEM analyses, powder samples were dispersed in ethanol and ultrasonicated for 5 min. One drop of the resulting suspension was then placed on a copper grid covered with a holey carbon film and allowed to dry at room temperature. XPS measurements were carried out with a PHI VersaProbe II (Physical Electronics) spectrometer using an Al K a source (15 kV, 50 W). All spectra were acquired under a partial vacuum (1.4 Â 10 -7 Pa) at room temperature (22°C). High-resolution C1s and O1s XPS patterns were acquired by setting the pass energy to 23.500 eV and the step size to 0.200 eV. The XPS patterns were analyzed using the MultiPak (Ulvac-PHI) programme. All binding energy values were referenced to the C1s peak at 284.80 eV. Raman spectra were collected using a DXR Raman spectroscope (Thermo Scientific, USA) equipped with a laser operating at a wavelength of 532 nm. The laser power on the sample was set to 2 mW. Each measured Raman 1,000 °C H 2 Figure 6 | Schematic representation of the approach. A schematic representation of the universal approach for an entrapment of SP nanometals in TRGO matrix starting from a metal-containing molecular precursor and GO. As an example, the scheme depicts the formation of an Fe/TRGO hybrid with ring-like assembly of iron nanoparticles (red) trapped among GO sheets (black). Note: In this schematic representation, the size ratios of individual atoms do not correspond to real conditions. In the structure of iron(III) nitrate, Fe is shown in red, N in yellow and O in blue. NATURE COMMUNICATIONS | DOI: 10.1038/ncomms12879 ARTICLE spectrum was an average of 32 experimental microscans. The acquisition time was set to 1 s. Transmission 57 Fe Mössbauer spectra were acquired using a Mössbauer spectrometer operating in a constant acceleration mode and equipped with a 50 mCi 57 Co(Rh) source. For low-temperature measurements, the samples were placed inside the chamber of a cryomagnetic system (Oxford Instruments, UK). The 57 Fe Mössbauer spectra were then fitted using the MossWinn programme; before fitting, the signal-to-noise ratio was enhanced using a statistical approach that combines routines incorporated into MossWinn software package and the procedures developed by Prochazka et al. 46 . Isomer shift values are referenced to data for a-Fe foil at room temperature. A superconducting quantum interference device (SQUID)-based magnetometer (MPMS XL-7 type, Quantum Design, USA) was employed for magnetization measurements. The hysteresis loops of all the studied samples were measured at temperatures of 5 and 300 K under external magnetic fields ranging from À 5 to þ 5 T. The ZFC and FC magnetization curves were recorded on warming in the temperature range from 5 to 300 K and in an external magnetic field of 0.1 T after cooling in a zero magnetic field and a field of 0.1 T, respectively.
In vitro cytotoxicity study and in vitro MRI measurements. The toxicity of the Fe(10)/TRGO and Fe(10)/TRGO/PEG hybrid materials was tested using the MTT assay with the NIH/3T3 mouse fibroblasts purchased from the American-type Culture Collection (ATCC, USA). The fibroblasts were cultivated in DMEM growth medium (low glucose Dulbecco's Modified Eagle medium, Lifetechnologies) at 37°C under a CO 2 -enriched (5%) atmosphere. The material's effects on cellular viability were assessed by preparing a dilution series in ultrapure water at concentrations of 1-200 mg ml -1 . Cells in DMEM media were seeded into a 96-well plate and left for 3 h to spread, after which they were treated with Fe(10)/TRGO and Fe(10)/TRGO/PEG suspensions at various concentrations in ultrapure water and incubated for 24 h. A solution of MTT (3-(4,5-dimethylthiazol-2-yl)-2,5-diphenyltetrazolium bromide) in water was then added to each well (20 ml, 5 mg ml À 1 ). After incubation for 24 h, the MTT solution was removed and dimethylsulfoxide (100 ml) was added to dissolve the resulting formazan crystals. The absorbance of the solutions formed in this way was measured at 570 nm using an Infinite PRO M200 multiplate reader (Tecan, Austria). The cytotoxicity of tested Fe(10)/TRGO and Fe(10)/TRGO/PEG nanocomposites was determined by comparing the absorbances of the treated samples to those of an untreated control and plotting the resulting ratios as viability percentages given by the expression (A sample /A control ) Â 100. Both suspensions were assayed in triplicate within each run of the experiment, and two duplicate experimental runs were performed.
MRI measurements were performed with a 4.7 T (MR6000 spectrometer by MR Solutions, UK, 4.7 T/200 mm superconducting magnet by Magnex Scientific, UK, 1 kW RF amplifier of 5T1000M type by CPC Amps, USA, GPA 200-350 gradient amplifiers from International Electric Company, Finland) and a 9.4 T (Bruker-BioSpec 94/30 USR, Ettlingen, Germany) NMR system. Six 0.5 ml samples of agar gel mixed with the Fe(10)/TRGO nanocomposite with concentrations of 33, 50, 125, 250, 500 and 750 mM Fe were measured. The samples were measured in the 2-ml Eppendorf microtubes. For a comparison, a commercial contrast agent, FeraSpin XXL (Miltenyi Biotec, Bergisch Gladbach, Germany) was also measured; it was mixed with 1.5% agar gel to yield concentrations of 0, 33, 50, 125 and 250 mM. The 1.5 ml samples were measured in 1.5 ml Eppendorf microtubes. All the measurements were performed at the laboratory temperature.
Using the 4.7 T NMR system, four samples of the Fe(10)/TRGO hybrid were measured (concentrations of 31, 63, 125 and 250 mM Fe). A spin echo (SE) pulse sequence was applied in image acquisition for T 1 quantification (TR ¼ 22-15,000 ms, TE ¼ 13 ms) and T 2 quantification (TR ¼ 12,000 ms, TE ¼ 13-150 ms). A gradient echo (GE) pulse sequence was applied in image acquisition for T 2 * quantification (TR ¼ 12,000 ms, TE ¼ 9-50 ms, FA ¼ 50°). For all the acquisitions, SL ¼ 1 mm, FOV ¼ 4 Â 4 cm and matrix ¼ 64 Â 64. The signal intensity within the hand-drawn ROIs were extracted using the MAREVISI software (National Research Council Canada, Ottawa) and the relaxation times were then estimated using own software implemented in MATLAB (MathWorks, Natick, USA).
Finally, the r 1 , r 2 and r 2 * relaxivities were calculated as proportionality constants of the linear relation between the reciprocal relaxation time and the contrast-agent concentration.
In vivo MRI study. The in vivo MRI experiments with a healthy mouse (35 g, male, ICR) were performed at 9.4 T employing a 9.4 T NMR system (Bruker-BioSpec 94/30 USR, Ettlingen, Germany). The animal procedure was in accordance with the European Community's Council Directive (2013/148/EEC) and approved by the Ethics Committee of The Czech Academy of Sciences in compliance with the Czech Animal Protection Act No. 246/1992. The Fe(10)/TRGO/PEG hybrid was administered intravenously with a dose of 10 mg of Fe per kg of mouse body weight. To monitor the bio-distribution and the effect of the contrast agent on MRI intensity in the T 2 -weighted images, MSME sequence (TR ¼ 2,500 ms, TE ¼ 36 ms, SL ¼ 1.42 mm, acquisition time ¼ 4 min) and MGE sequence (TR ¼ 22.9 ms, TE ¼ 5 ms, SL ¼ 1.42 mm, FA ¼ 14°, 2 segments, respiration gating) were used.
Data availability. The data that support the findings of this study are available from the corresponding author upon request.