Structural evolution of iron forming iron oxide in a deep eutectic-solvothermal reaction.

Deep eutectic solvents (DES) and their hydrated mixtures are used for solvothermal routes towards greener functional nanomaterials. Here we present the first static structural and in situ studies of the formation of iron oxide (hematite) nanoparticles in a DES of choline chloride : urea where xurea = 0.67 (aka. reline) as an exemplar solvothermal reaction, and observe the effects of water on the reaction. The initial speciation of Fe3+ in DES solutions was measured using extended X-ray absorption fine structure (EXAFS), while the atomistic structure of the mixture was resolved from neutron and X-ray diffraction and empirical potential structure refinement (EPSR) modelling. The reaction was monitored using in situ small-angle neutron scattering (SANS), to determine mesoscale changes, and EXAFS, to determine local rearrangements of order around iron ions. It is shown that iron salts form an octahedral [Fe(L)3(Cl)3] complex where (L) represents various O-containing ligands. Solubilised Fe3+ induced subtle structural rearrangements in the DES due to abstraction of chloride into complexes and distortion of H-bonding around complexes. EXAFS suggests the complex forms [-O-Fe-O-] oligomers by reaction with the products of thermal hydrolysis of urea, and is thus pseudo-zero-order in iron. In the hydrated DES, the reaction, nucleation and growth proceeds rapidly, whereas in the pure DES, the reaction initially proceeds quickly, but suddenly slows after 5000 s. In situ SANS and static small-angle X-ray scattering (SAXS) experiments reveal that nanoparticles spontaneously nucleate after 5000 s of reaction time in the pure DES before slow growth. Contrast effects observed in SANS measurements suggest that hydrated DES preferentially form 1D particle morphologies because of choline selectively capping surface crystal facets to direct growth along certain axes, whereas capping is restricted by the solvent structure in the pure DES.


Introduction
Neoteric solvents could offer new opportunities for the preparation of nanostructured functional materials, able to address the emergent challenges faced by society. 1,2[10][11][12][13][14][15] The successful application of these synthetic methodologies can be limited by insufficient understanding of intermolecular interactions and reaction mechanisms.2][23][24][25][26][27][28][29] In this context, it is important to fundamentally understand the processes occurring during these synthesis methods across multiple length scales, hence making their systematic assets and drawbacks clear.This will facilitate the development of scalable, environmentally-mindful and designer routes towards a broad library of potentially useful materials. 30Hematite (α-Fe 2 O 3 ), with its band gap of 2.2 eV, has gained substantial current interest as a stable and active photoanode material for the photoelectrochemical oxidation of water to O 2 .This reaction represents the bottleneck in photoelectrochemical cells for water splitting and carbon dioxide solar conversion. 30Iron compounds such as hematite are attractive due to low toxicity, 31 and iron accounts for 32.1% of Earth's mass. 324][35] Ornately nanostructured hematite thin films can mitigate these drawbacks; many of these preparations require intensive methods such as CVD. 33,34There is therefore a need to develop and understand new synthetic methodologies for nanostructured hematite.15]38 Our recent work has demonstrated the solvothermal preparation of nanostructured metal oxides including CeO 2 and α-Fe 2 O 3 from metal nitrate salts in DES, both under normal heating and under microwave irradiation. 39,40Interestingly, mixing DES with a cosolvent such as water offers an effective route for morphological control, driving the formation of 1D nanostructures, and corresponding with unusual interactions and solvation behavior in the bulk structure of hydrated DES. 41Overall, DES show broad promise in materials synthesis, unifying an inherently mild process with apparently endless opportunities for the design and optimisation of products, provided that an understanding of such syntheses is developed.
Whereas the starting configuration for organic transformations is generally well-defined, the same understanding comes less easily for an inorganic reaction in a complex solvent.Ion speciation depends on variables such as the solvent structure and composition, pH and presence of co-solutes. 42The multicomponent nature of DES leads to an array of interactions and thus complicated and disordered bulk structuring, which is not readily comparable to either ionic liquids (ILs) or molecular solvents.Structuring in DES is heavily composition-dependent 43 and further convoluted by solutes. 22Moreover, studying such processes requires techniques which are sensitive to the variable length scales and chemical evolution as the reaction progresses, but unaffected by the properties of the reacting mixtures such as high viscosity, gas evolution, and magnetism.
Here, we explore the molecular and mesoscopic mechanisms of nanoparticulate iron oxide synthesis (nominally α-Fe 2 O 3 or hematite) from iron (III) nitrate solutions in a pure choline chloride:urea DES (1:2) and its hydrated counterpart (1:2:10w; ca.42 wt.%H 2 O).The self-assembly, structure and speciation of iron oxide nanoparticles (NPs) in pure and hydrated DES are assessed using SANS and SAXS, EXAFS, and neutron diffraction and modelling studies, to allow resolution of the full reaction.This work therefore aims to understand the atomistic configurations found within the system as the reaction begins, and how these evolve as the reaction proceeds, ultimately forming nanoparticles which change in size and shape over time depending on conditions.The only other in situ measurements of material production in DES were of metal film electrodeposition using reflectometry techniques; 44,45 this is the first time-resolved study of a solvothermal reaction occurring in a DES.

Preparation of DES
The choline chloride-urea DES was prepared according to the typical literature procedure of mechanically stirring vacuum-dried choline chloride (Acros, 99.5%) and urea (Acros, 99.5%) in a sealed vessel and with gentle heating until a clear monophasic liquid was obtained. 46We have found this methodology to consistently yield intrinsic water contents of ca.2000 ppm by KF titration. 21DES-water mixtures were obtained by mixing pure DES stock solution with water (Elga, 18.2 MΩ.cm) until a homogenous solution of 1:2:10 choline chloride:urea:water (a hydration level described as 10w) was made.Iron (III) nitrate nonahydrate (Acros, 99.9%) was mixed at room temperature with the pure or hydrated DES at constant molalities of 0.15 -0.35 mol kg -1 , and the resulting bright yellow solution was used as the precursor material for all subsequent techniques.The iron nitrate nonahydrate salt has a fairly high water content (slightly lower by mass fraction than that of the DES-hydrate) and is dissolved at relatively high concentrations.Varying the concentration of this species therefore has a non-negligible effect on the water content of the mixture in the absence of other added water.The water contents of the various DES mixtures are reported in Table 1.Water content is calculated neglecting water in the pure solvent upon preparation from freshly vacuum-dried choline chloride and urea.Mole fractions of the components can be calculated from the eutectic stoichiometry of 1:2:(10) choline chloride:urea:(water) and the iron complex stoichiometry and molal concentration.The variable choline:Fe 3+ stoichiometry arises from the preparation of the hydrated solvent with 40.9 wt.% water.

Synthesis of iron oxide nanoparticles
Precursor solutions (10 g) were placed into a Teflon-lined stainless-steel autoclave and reacted in an oven at 90 °C for respectively 8 h (dry DES) or 3 h (hydrated DES), which were determined to be past the reaction end point from analysis of SANS and EXAFS data.The products were decanted directly into cellulose dialysis tubing (MWCO = 12.4 kDa) and dialysed several times against deionised water to remove ionic impurities.They were then dried in air (60 °C) from ethanol, yielding dry aggregated nanoparticulates.TEM images showing the fine nanoparticles formed in the dry reaction, and the 1D nanostructures formed in the hydrated reaction, are shown in the ESI (Figures S11-S14).† The prepared samples of iron oxide NPs produced off-line were characterised using a Bruker D8-ADVANCE X-ray diffractometer operating in Bragg-Brentano geometry with Cu Kα radiation (λ = 1.5418Å) over 20-90°2θ, giving a momentum transfer range from 1.42 -5.76 Å -1 and therefore a structural resolu-tion (π/Q max ) of 0.55 Å. Transmission electron micrographs and electron diffraction measurements were made using a JEOL JEM-2100Plus TEM with access provided by the Bath Microscopy and Analysis Suite.

Neutron and X-ray diffraction
Liquid-phase neutron diffraction measurements were made upon a series of 0.25 mol kg -1 solutions of Fe(NO 3 ) 3 •9 H 2 O, in isotopesubstituted pure and hydrated (10w) DES using the NIMROD total scattering instrument, 47 at TS2 of the ISIS Neutron Muon Source, Rutherford Appleton Laboratory, UK, under beamtime allocation RB1620292.NIMROD covers a wide q-range of 0.01 ≤ Q ≤ 50 Å -1 , using a wide angular detector coverage of 0.6 -37.5°and time-of-flight neutrons of wavelength 0.05 ≤ λ ≤ 11 Å.Isotope-substituted DES were prepared in the same way as the hydrogenous samples, using the aforementioned reagents and, where necessary, substituting the hydrogenous components with d 9 -choline chloride (CK Isotopes, 99% pure, 98 atom% D), d 4urea (QMX Laboratories, 99.6% pure, 99.8 atom% D), and D 2 O (Sigma-Aldrich, 99.9% pure, 99.9 atom% D).The deuteration of the water of crystallisation of the iron nitrate nonahydrate was not controlled.The resultant isotopic contrast sets of choline chloride:urea in the pure DES were H:H, H:D, D:H, and D:D, whereas for the hydrated DES the choline chloride:urea:water compositions were H:H:H, H:D:D, D:H:D, D:D:H and D:D:D.Samples were transferred into null-scattering Ti 0.32 Zr 0.68 cells with a wall thickness and path length of 1 mm, which were sealed against vacuum and leak-tested before transferring to the NIM-ROD sample changer environment, which was regulated to ca. 0.1 mbar and 30 ± 0.1 °C for the duration of the measurement.Diffraction measurements were made for a median of two hours and scans were averaged for improved counting statistics.Gu-drunN was used to process the raw neutron scattering data.Scans of the empty sample changer, a vanadium plate (3 mm), and each individual sample cell were used for background reduction and normalisation, before corrections for attenuation and multiple scattering, iterative subtraction of the inelastic scattering contribution of hydrogen, and normalisation to absolute units.The final set of corrected and normalised data were then simulated using empirical potential structure refinement (EPSR). 48Additionally, the samples were reacted in cells on the beamline at 90 ºC following static measurements to observe any changes in the state of the samples; these data are shown in S17 and S18 of the ESI.†Minimal qualitative difference was observed for either DES in the high-Q (solvent structure) region, and a small-angle scattering signal evolved commensurate with the dedicated SANS measurements.
X-ray diffraction measurements were made of 0.25 mol kg -1 solutions of Fe(NO 3 ) 3 •9 H 2 O in pure and hydrated (10w) choline chloride-urea DES using a PANalytical Empyrean instrument, with Ag kα radiation (λ = 0.5594 Å) and a solid-state GaliPIX3D area detector with a CdTe sensor.Samples containing hydrogenous DES were sealed in 2 mm quartz glass X-ray capillaries with a wall thickness of 0.01 mm and measured on a rotating goniometer sample stage for one hour at room temperature (21 °C).Due to the inorganic salt content, this temperature is above the transition temperature where liquid forms for the pure solution, whereas it would not be for pure ChCl:urea. 49Data were processed using GudrunX, 50 which sequentially reduces and normalises the data by accounting for Compton and multiple scattering events, sample absorption, fluorescence, composition and geometry, and the background contribution from air and the empty capillary.The data were finally normalised to the single-atom scattering.The X-ray diffraction data were used alongside the neutron diffraction data as an additional experimental constraint upon the EPSR model.Complementary information is provided by the two techniques.Broadly, neutrons allow the determination of hydrogen site correlations as they have approximately equal sensitivity to the nuclear positions of all the atoms in the system.Conversely, X-rays are sensitive to electron density and hence reinforce the structural information for heavy atoms, namely the Cl -and Fe 3+ based bonding modes, which are important in this system. 51

Empirical potential structure refinement (EPSR) modelling of diffraction data
EPSR models were set up from both the reduced neutron and X-ray data, using the same potentials and geometries for urea, choline, chloride, water, and nitrate that have been described previously. 39The potentials for Fe 3+ were initially derived from the parameters provided by Li et al. in their 12-6-4 Lennard-Jones type nonbonded model for highly charged metal ions. 52However, it was found that these values yielded poor fits, particularly for the close-range 'nearest-neighbour' interaction and especially when the X-ray contrast was introduced, which is most sensitive to the Fe and Cl parameterisation due to the heightened electron density of these atom types.Therefore, the Fe σ value (the Lennard-Jones well distance) was iteratively refined from the literature value of 2.886 Å to 1.9 Å to achieve a better quality-offit.While the σ of Cl could also be varied to improve the fit, Fe was chosen as the Cl parameters already appeared to give a good fit for the Cl-rich pure solvent, and keeping this constant reduces the number of fitted parameters.Following this, fitting proceeded routinely within the EPSR framework; the models were first equilibrated to stability under the reference potential, then the empirical potential was introduced, and the model equilibrated for ≥10000 iterations.Each iteration of the structure refinement involves the move or attempted move of each atom, molecule and molecular functional group in the model.Over this time, structural statistics were accumulated for parameters such as the radial distribution functions and hence coordination numbers and probabilistic spatial distribution.Further modelling details are provided in the ESI (Figures S1-S3 and Table S1).†

Small-angle neutron scattering
Small-angle neutron scattering was used as an ideal nondestructive, non-interacting probe to evaluate the self-assembly of nanoparticles in the reacting DESs in situ, with high sensitivity to light elements (ie.CHNO) and iron (b Fe = 9.45 fm).Data were taken of reacting mixtures of pure and hydrated (10w Using four serially phased mechanical choppers, BILBY was operated using time-of-flight neutrons to provide an effective q-range of 0.00229 ≤ q ≤ 0.29031 Å -1 , with the rear detector placed in the 12 m position and the curtain detectors at 4.8 and 5.8 m.High levels of deuteration were favored to reduce the incoherent scattering background and hence improve the signal-to-noise for the rapid kinetic measurements, resulting in the two choline chloride:urea:water substitutions of H:D:D and D:D:D.Samples (ca.300 µL) were placed into 'banjo' Hellma cells of pathlength 1 mm and sealed with a PTFE plug.The quartz cells were placed into individual metal holders to ensure uniform heat distribution.
They were stored at room temperature so that no reaction occurred prior to placing into the sample changer.The calculated neutron scattering length density values (SLDs) used for fitting are included in the ESI (Table S2).†

Extended X-ray absorption fine structure (EXAFS)
High-quality EXAFS measurements of the samples reacted off-line were made using the I20-Scanning instrument at Diamond Light Source, UK. 54 Samples were measured under static conditions, with optimal spectrometer settings for energy resolution, signal sensitivity and k-range.The scanning branch of the I20 beamline has high flux (>10 12 photons s -1 ) and spectral purity, using an insertion device and four-bounce monochromator. 55Samples were mounted into flat-plate cells with 1.5 mm pathlength and Kapton thin film windows.The pure and hydrated DES were prepared with 0.15, 0.20 and 0.25 mol kg -1 Fe(NO 3 ) 3 •9 H 2 O and measured both in their unreacted state, and following reaction for 3 h (hydrated) and 8 h (pure), after which they are anticipated to have reacted to completion.This provides measurements of both the pre-reaction ('before') and post-reaction ('after') states to be fitted.Due to the high incident photon flux that results in photoreduction of the iron (III) ions, measurements on I20-Scanning were taken while Diamond Light Source was operating in low-α mode with a reduced storage ring beam current.Data were then processed and fitted using the Demeter software package, giving a high quality measure of the reaction starting and finishing points. 56EXAFS measurements were made of the reacting system using the parallel I20-EDE branch of the I20 beamline at Diamond Light Source, UK.I20-EDE was optimised for kinetic data collection, with energy resolution and k-range sacrificed relative to I20-Scanning to facilitate data collection with shorter acquisition times.I20-EDE is an energy-dispersive XAS beamline, operating with a fan-shaped convergent polychromatic incident beam.To prevent beam damage caused by extensive exposure of pink-beam synchrotron radiation, the beamline was operated in the 'TurboXAS' configuration rather than energy-dispersive mode, with radiation tuned to 10% bandwidth across the Fe absorp-tion edge at 7112 eV. 57As before, samples of the pure and hydrated DES were prepared with 0.15, 0.20 and 0.25 mol kg -1 Fe(NO 3 ) 3 •9 H 2 O and syringed into aluminium flat-plate cells with 1.5 mm pathlength, Kapton windows and lined with lead tape to prevent spurious scattering.Filled cells were sealed using epoxy resin to prevent loss of sample during the reaction.The sample environment was then heated to a calibrated 90 °C at the sample position, before placing samples in the instrument and measuring continuously over the course of the reaction.Kinetic measurements were made for 120 s each until no further apparent change was observed.Data were then processed in batch using a routine which removed a flat background from the pre-edge slope and subtracted a low-order Chebyshev polynomial fitted to the postedge region.Kinetic data were then interpreted using a 2-state component analysis of the data, 58 having fitted the 'before' and 'after' data from the high-resolution I20-Scanning measurements using Artemis software. 56

Small-angle X-ray scattering
When using a high-intensity synchrotron source, beam damage was observed, so SAXS measurements were made using a Xenocs nano-inXider instrument provided by the Materials Characterisation Laboratory of the STFC ISIS Neutron and Muon source.The Xenocs instrument uses a vertical pinhole geometry with a Dectris Pilatus detector and Cu-Kα radiation, giving an accessible Q-range of 0.0045 ≤ Q ≤ 0.37 Å -1 .Samples were prepared by sealing 0.5 g of ChCl:urea:iron nitrate:(water) stock solutions into small vials.Samples were placed into an air-circulating temperatureregulated oven at 90 °C and removed after hourly intervals and at 90 min.At the time of removal, samples were placed directly into a freezer until use.Prior to X-ray measurement, the samples were placed into quartz glass X-ray capillaries of 1.5 mm diameter and 10 µm wall thickness and sealed using beeswax.Samples were measured using a multi-capillary sample changer, under vacuum at room temperature (21 °C), for the measurement time of several hours.The data were radially averaged and background subtracted using an unreacted stock solution of iron nitrate in either pure or hydrated ChCl:urea.Data were analysed using the ATSAS software package; 59 seven cycles of a simulated annealing routine in DAMMIF were averaged and filtered, before passing the filtered system through a final refinement in DAMMIN.

Initial speciation of Fe 3+
EXAFS measurements were made of precursor solutions of pure and hydrated (10w) choline chloride:urea DES containing 0.15 mol kg -1 of the precursor Fe(NO 3 ) 3 •9 H 2 O, held at room temperature.Data (markers), processed using Demeter, are shown for both pure and hydrated DES in Figure 1 alongside fits performed in r-space using Artemis (lines), which are shown in both k-and r-space. 56Multiple ligand identities, configurations and geometries were trialled for the fitting, and the best quality-offit was obtained for an octahedral configuration of [Fe(L) 3 (Cl) 3 ], as shown by close agreement between data and fit in Figure 1, despite plotting with k 2 weighting to exaggerate the high-k re- gion.This suggested 6-fold coordination is consistent with Fe 3+ in basic aqueous solution, 60 which follows because of the slightly basic nature of the choline chloride:urea DES, 61 and presence of water of crystallisation from Fe(NO 3 ) 3 •9 H 2 O. 62 Ligands were either Cl, or a non-specified oxygen-containing ligand 'L' which could be any of the O-containing donor species present in the mixture, such as nitrate, water, urea, or choline.EXAFS provides a reliable determination of the metal-ligand complex geometry, especially coordination number and bond lengths, but is not sensitive to the nature of the oxygen-containing ligand 'L' in these multicomponent solvents.Both Cl and 'L' (O-donor) ligands were fitted to a single environment, and the urea −NH 2 group was not considered an effective donor ligand because its lone pair is in resonance with the C=O bond. 26he same complex structure fitted well to both the pure and hydrated systems, despite the high fraction of water in the latter by mass (ca.42 wt.%) or by mole (ca.77 mol.%).It is also noteworthy that the initial states were measured at Fe(NO 3 ) 3 •9 H 2 O concentrations of 0.20 and 0.25 mol kg -1 , and no qualitative differences were observed in the data, likely due to the large excess of Cl-and O-containing ligands in the DES even at high Fe loadings.Our fitted structures differ slightly from the anionic metal perchloro complexes observed by Hartley et al., who measured the speciation of Cr, Mn, Fe, Co, Ni, Cu, Zn, Pt, Au, Pd, Ag, and Sn chlorides in ChCl:urea, ChCl:ethylene glycol, and ChCl:glycerol DES using EXAFS. 63In the polyol-based DES, some chelation of the metal centres was also observed.Although EXAFS is not acutely sensitive to these minor differences, the systems are different; except for Cr 3+ , all of the previous examples contained anhydrous M 2+ chloride salts which may speciate differently from the Fe 3+ nitrate salts measured here.Moreover, the earlier study was done under the assumption that DES were complex-ionic liquids, 46,64 whereas an extended H-bond network (aka.6][67] The static EXAFS measurements therefore demonstrate the speciation of iron prior to the onset of reaction.

Initial solvent nanostructure and solvation of Fe 3+
Fig. 2 Neutron and X-ray diffraction data (coloured markers) and EPSR fits (black dashed lines) for the pure DES (a) and hydrated DES (b).Isotopic contrast labels refer to choline:urea:water deuteration state.For XRD, hydrogenous samples were measured.
Whereas EXAFS provides detail on the coordination number and bond lengths of the precursor complex, elastic scattering can reveal the nature of these ligands and the bulk solvent environment.Understanding all of these elements is key to elucidating the reaction mechanism.The structures of both pure and hydrated DES containing 0.25 mol kg -1 of Fe(NO 3 ) 3 •9 H 2 O were therefore measured at 303 K using neutron diffraction with isotopic labelling.An atomistic model was fitted to the neutron data using empirical potential structure refinement (EPSR) and co-refined with X-ray pair distribution function (XPDF) measurements.X-ray data improves the fits by imposing the interactions of more electron-dense species, ie.Fe, as a further structural constraint.Data (markers) are shown alongside fits (lines) in Qspace in Figure 2 and in R-space in the ESI (Figure S1).†The fits converge well upon the data, except the typical low-Q divergence (≤1 Å -1 ) due to residual inelasticity, 68 and only minor discrepancies are seen with the intensity of the X-ray data.Ensemble structural information was then obtained from equilibrated EPSR models (≥10,000 refinement cycles).
Calculated Fe-centred intermolecular coordination numbers (N coord ) are shown in Table 2. Except choline, all O-containing species play some role in iron binding; choline is likely excluded Table 2 Molecularly-centred and ionically-centred coordination numbers, calculated from the radial distribution functions of the pure and hydrated choline chloride:urea DES from EPSR modelling.Non-integer coordination number values and variances (which represent one standard deviation in coordination number) arise from the accumulation of statistics over ≥10,000 iterations of refinement against the experimental potential.Coordination numbers are calculated by integrating each pRDF to their first minima; R max describes this maximum radius of integration.Molecular centres for polyatomic species were: urea 15 Values are compared with data in the pure solvent containing 10w (41 wt.%) for the hydrated system and 1w (6.5 wt.%) for the 'pure' system, as published previously. 41This is because the pure 1w solvent is closer in hydration to the pure solvent with 0.25 mol kg -1 of iron nitrate nonahydrate, which contains 3.7 wt.% water, whereas the analysis of the pure iron-free DES was assumed to be anhydrous because the water content was confirmed to be low under representative conditions using Karl Fischer titration. 21Non-integer coordination numbers represent some complex fluxionality, the degree of which can be inferred from the stated deviation.
from the primary solvation shell by like-charge repulsion.Similarly, Fe-Fe interactions in both systems are essentially zero.2.77 ± 0.97 chlorides are bound to iron centres on average in the pure DES, close to the 3 suggested by EXAFS, though in the hydrated solvent only 1.65 ± 1.15 chlorides are bound.The number of coordinating urea molecules similarly falls from 0.89 ± 1.04 in the pure DES to 0.65 ± 0.79 in the hydrated system, whereas one nitrate ion is present in both pure (1.04 ± 0.96) and hydrous solvents (1.05 ± 0.80).Most notably, the coordination of water is negligible in the pure DES, but 2.41 ± 1.13 water molecules are coordinated to iron on average in the hydrated DES, making it the dominant species.The spatial orientations of Fe 3+ cations around the various components of the mixtures are shown in Figure 3, which highlight the Fe-O bonding modes, and also demonstrate the ability of Fe 3+ to form intercalated complexes with species such as nitrate and water, as in the iron/nitrate @ urea 0w SDF (mid-right), and the iron/nitrate @ choline SDFs (mid-left).This suggests strong association of ionic species with Fe 3+ , especially nitrate, in addition to chloride.The scattering data generally agrees with the spectroscopic picture of a [Fe(L) 3 (Cl) 3 ] octahedral complex with a mixed and fluxional coordination sphere, with N coord summing respectively to 5.02 and 5.76 for the pure and hydrated DES, rather than the anionic perchloro complexes shown by Hartley et al. 63 A 5-fold Fe coordination for the pure DES as suggested by EPSR is possible, and would be consistent with the pentacoordinate iron-chloride complexes seen in concentrated aqueous chloride solution. 60However, the EPSR model is not refined against the EXAFS data, and EXAFS is a more accurate probe for the direct environment of the Fe ion.Therefore, the EPSR data for the complex should be considered as a proxy to understand how the mix of ligands changes with water content, and the discussion will continue to focus on a [Fe(L) 3 (Cl) 3 ] complex.
Coordination numbers (N coord ) were also calculated for non-Fe intermolecular interactions, allowing observation of the change in bulk solvent structure when iron nitrate is added to the DES.Using previous work as a reference, the percentage change in N coord is shown in the ESI (Figures S2-S3), †alongside partial (site-site) coordination numbers. 21,41Compared to the iron-free examples, little change is generally seen, particularly for the choline-water and urea-water interactions.However, some of the intermolecular coordination numbers vary markedly, especially the interactions involving chloride or water, and several of these interactions increase on addition of iron.The chloride-water coordination rises from 5.78 ± 1.79 to 6.82 ± 1.82 with the addition of the iron salt to the water rich system.This can be contrasted with the pure, low-water system where this coordination measure only changes from 1.18 ± 1.08 to 1.20 ± 1.15.Moreover, like-charge ordering (ie.choline-choline interactions), already subtle in DES and their mixtures when compared to pure ILs, 1 is disrupted further in the high-water system after iron addition with up to 20% changes in the N-N coordination, but less so in the pure DES.These structural differences most likely arise because chloride is abstracted from the bulk by Fe 3+ due to strong Fe-Cl complexation, with cascading effects on the other interactions.For example, the chloride-chloride N coord increases most significantly on addition of Fe 3+ , but the choline-chloride interactions universally decrease.Interestingly, the choline H OH -Cl H-bond mode is clear in the pure DES at room temperature, 21 but is sensitive to disruption, with high temperatures sufficient to diminish this ordering, 69 as well as additional salt. 39This could be another manifestation of the structural fluxionality between the α-and β-(low-and high-temperature) polymorphs of crystalline choline chloride. 70,71The small molecular volume of introduced water allows it to more efficiently solvate the various DES components than the DES itself can.At high water contents, water hydrates choline better (3; bottom-left SDF) and chloride becomes more well-ordered around water (top-right SDFs).Pronounced ureaurea association is observed both when dry and hydrated, relatable to the strong urea H-bonding networks formed in concentrated aqueous solutions, 72 but significant interaction between urea and water is seen too (bottom-middle SDFs).
Combined, the EXAFS data and neutron and X-ray scattering measurements provide a picture of the solvation environment in the DES prior to reaction.The bulk structure is similar to the systems without solvated Fe 3+ , where there is an extensive disordered network of H-bonds.Stoichiometric cages of DES components interact with stable, solvated [Fe(L) 3 (Cl) 3 ] complexes.The presence of these complexes slightly depletes the bulk Cl concentration, which subtly modifies the intermolecular interactions.

Evolution of mesoscale iron structure
Example in situ SANS data for the 0.35 mol kg -1 samples of pure DES are shown as a function of reaction time in Figure 4, alongside extracted radius of gyration (R g ) and scale factor for the various contrasts and concentrations from Guinier analysis.The complete set of time-resolved data is shown in the ESI (Figures S4 and  S5).†In the pure DES, zero scattering is observed after removal of the DES background until approximately 2 h of reaction, which is repeatable across all measured contrasts and concentrations.Visually, at this point the reaction mixture changes from bright yellow to blood red.After this point, the nanoparticle volume (scale factor, Figure 4c,f) increases sigmoidally over the course of the measurement.Growth is particularly slow in the D:D contrasts at low concentrations of iron nitrate, which may be due to a subtle kinetic isotope effect, or slight differences between the H/D choline purity.Guinier fits were adequate despite the lack of modelled polydispersity or particle-particle interactions (S(Q); structure factor), with scattering patterns showing Porod exponents of (or near to) 4, signifying particles with a smooth surface.4][75] The colloidal suspensions of NPs in pure DES formed after these reactions were found to be stable for long timescales until sufficient water was added or absorbed.
The calculated R g in Figure 4b,e shows nanoparticles of 5 to 9 nm at first observation, depending on the concentration and contrast.Nucleation therefore occurs after some time has elapsed, and is a rapid process which exceeds the time resolution of the 300 s SANS measurements.Following first observation the R g grows slowly, suggesting slow individual growth of nanoparticles, rather than stepwise fusion and aggregation of individual particles.Although there are subtle differences between contrasts and concentrations, iron nitrate concentration and nanoparticle size correlate positively.As the iron precursor concentration is increased from 0.15 to 0.25 and 0.35 mol kg -1 for the H:D contrast, the final R g (averaged from the final 5 datapoints, at 35-40 ks of elapsed reaction time) measures 6.92 ± 0.05, 8.27 ± 0.04, and 9.92 ± 0.13 nm respectively, whereas for the D:D contrast the same values are calculated as 7.03 ± 0.23, 8.92 ± 0.22 and 13.29 ± 0.08 nm respectively.Intuitively, higher concentrations of precursor lead to larger particles, because of higher growth rates following nucleation.The sizes measured for the D:D contrast data are universally larger than the H:D contrast.This suggests that under D:D contrast conditions, SANS images the nanoparticle 'superstructure' inclusive of a solvation shell, whereas this corona is somewhat hidden in the H:D contrast.Indeed, one feature which Guinier modelling does not completely account for is a diffuse structural feature observed in the mid-Q region at around 0.07 Å -1 at long reaction times, as shown in the ESI (Figure S6).†This feature is more prominent in the H:D (hydrogenous choline) contrast, and may therefore suggest a choline-enriched near-surface layer at the DES/solid interface.This observation corresponds both with accounts of interfacial DES structuring from AFM and calculations, 23,76,77 and the hypothesis that cholinium acts as a nanoparticle surface capping agent, inhibiting growth along specific planes.Therefore, cholinium may function like alkylammonium halide surfactants, which drive 1D nanoparticle growth. 39,78Surface enrichment also offers an explanation for the observed screening of interparticle interactions, and is consistent with long-range ordering observed at DES/nanoparticle interfaces by Hammons et al. 20,79,80  Model-based fitting was used to extract more detailed structural information from the SAS data, and calculated polar and equatorial radii (R po and R eq ) are shown in Figure 5. 81 The SLDs used for these fits are shown in the ESI (Table S2) †alongside exemplar fits using an ellipsoid model with oblate spheroid platelet geometry (ie.R eq > R po , in Figure S7).This provided better fits than Guinier analysis, particularly at mid-Q values 0.1 Å -1 .At first observation the nanoparticles which appear in the pure DES are relatively large, as seen in Figure 5a; after 10,000 s the NPs have respective R po and R eq of 2.2 and 8.4 nm.As the particles grow, following the same trend as highlighted by Guinier analysis, there is a subtle contraction in particle aspect ratio from 3.5 at initial appearance to approximately 2.5.After 37,000 s, the particles from the 0.35 mol kg -1 sample have respective R po and R eq of 6.7 and 15.5 nm, meaning the poles and equators of each nanoparticle do not grow equally, with a polar:equatorial growth rate ratio of 3:2.Model-based analysis therefore confirms the initial rapid nucleation step, which occurs at a critical point faster than the instrumental timescale, and followed by slow classical growth.For the 0.35 mol kg -1 sample, where this process is the most rapid, the particles undergo 0.67 nm h -1 of growth in R eq and 0.38 nm -1 growth in R po by a linear approximation.
Complementary structural data was provided by laboratory SAXS measurements of the reacting systems at timepoints of 1 h (3,600 s), 90 min, (5,400 s), 2 h (7,200 s), 3 h (9,600 s) and 4 h (14,400 s).The strong theoretical X-ray scattering length contrast between the iron oxide nanoparticles and the organic solvent makes SAXS ideal for determining the presence of low volume fraction structures before the proposed nucleation step.The corrected, background-reduced data are shown in Figure 6 alongside fits to the data using ATSAS software. 59Table 3 shows extracted R g values from the X-ray fits alongside analogous values calculated from Guinier analysis of SANS data.Size distributions obtained by P(R) inversion of the SAXS data are shown in the ESI (Figure S8).† After background subtraction, only a flat SAXS pattern was observed in the 60 min sample (3,600 s), thus the mixture remains monophasic at this point.However, after 90 min (5,400 s) nanoparticles were observed with a R g of 7.12 nm, with a low volume fraction as shown by the measurement statistics.After this point, slow growth of nanoparticles over time follows, as shown in Table 3 and the evolution in P(R), with the g increasing to 7.21, 7.71, and 8.15 nm after 2, 3, and 4 h respectively.This also corresponds with a slight increase in polydispersity, inferred from the greater peak width at FWHM in the real-space size distributions shown in the ESI (Figure S8).†Analysis using the DAMMIN subroutine of ATSAS64 fitted the data to an array of dummy atoms to provide an interpretation of the true nanoparticle shape, shown in the insets in Figure 5. Visually, the nanoparticles become more globular over time, in agreement with analysis
This article is licensed under a Creative Commons Attribution 3.0 Unported Licence. of the in situ SANS measurements, and just after nucleation, the particle is narrow, disordered and wormlike.The spontaneous nucleation of these particles from the reacting pure DES solution at a critical timepoint is therefore caused by two simultaneous effects: the concentration of reacted iron complexes increases, while the solubility of these complexes decreases over time due to the active degradation of the solvent.The solubility threshold is then reached, and nanoparticles nucleate and undergo slow growth.The lack of structure factor suggests that particles are non-interacting and do not fuse due to a solvation corona which efficiently screens charge in the DES environment.Additionally, the SAXS experiment shows that it is feasible to 'freeze' the reac- tion at selected timepoints to obtain fairly monodisperse nanoparticles of known size and morphology, which is facilitated by the slow (<1 nm h -1 ) growth rates after the initial step.TEM confirms the formation of globular particles in the pure DES (see ESI Figures S11 and S13).†This may be useful to target preparation of particles for use in biomedical applications applying superparamagnetic iron oxide nanoparticles, such as MRI. 9 Conversely, in the hydrated DES nanoparticles nucleate immediately and grow rapidly, as shown in Figure 5b.The reacted pure and hydrated systems differ visually and in terms of stability.Whereas the pure solvent formed dark-red stable colloidal suspensions of iron oxide, the hydrated system formed opaque Table 3 Calculated radius of gyration (R g ) from Guinier fitting of in situ neutron measurements compared with ex situ measurements using SAXS of samples reacted separately for the stated time points.Where no radius is listed, the measured scattering level in time-resolved measurements was insufficient to be fitted with certainty yellow/orange suspensions which separated over time to a floc and a colourless liquid phase, all of which are characteristics of large-scale aggregates.Nanoparticles are observed within the first SANS measurement and at this point are already larger than the nanoparticles ever grow in the pure DES, at around 80 x 25 nm for the 0.15 mol kg -1 sample when fitted with an oblate spheroid model.After this, growth occurs predominantly along the equatorial axis, in line with previous reports which have highlighted the 1D morphology of nanoparticles formed from reactions in hydrated DES. 39,40After a period of time, which varies by concentration, there is then a rapid stepwise fusion of nanoparticles to form highly elongated 1D nanostructures which exceed the available instrumental resolution (major axis >65 nm; Q min = 0.00229 Å -1 ).During this stage, the crystallites almost double in size every 10 min.The ellipsoid model was used throughout for continuity, but these much longer particles fit more adequately to cylinders, which corresponds with the structures observed in the TEM of the products (see ESI Figures S12 and S14).†PXRD on these larger particles demonstrates formation of the hematite structure (Figure S10).Overall, the hydrated DES shows iron oxide formation and growth behavior more relatable to known aqueous solution chemistry. 9,82

Evolution of local iron structure
In situ time-resolved EXAFS measurements were made of the reacting pure and hydrated DES systems alongside static snapshots of the local structural environments at 'before', 'after' and 'intermediate' states.Examples for the systems containing 0.15 mol kg -1 of Fe(NO 3 ) 3 •9 H 2 O are shown in Figure 7. Qualitatively, the variable EXAFS signal between 1-4 Å shows the progress of the reaction.In the low-water pure DES system, a structural feature at 1-2 Å (with a shoulder at 2-2.5 Å) linearly diminishes until 12,000 s, and a second structural feature begins to grow after 5,000 s of reaction at between 3-4 Å.The appearance of this second structural feature aligns with the 5,000 s nucleation point from SANS and SAXS.Increasing iron concentration extends the reaction time, with no further change after 10,000 s and 12,000 s for 0.15 and 0.20 mol kg -1 samples respectively.However, the hydrated DES samples behave completely differently; the structure at 3-4 Å forms immediately and increases in intensity, while the feature at 1-2 Å diminishes more rapidly.The hydrated DES reactions reached completion more quickly, taking just 6,000 s for the 0.20 mol kg -1 sample.
A two-part component analysis (CA) was performed on the ex- For the high-water, high-concentration sample, datapoints were removed which had an unacceptably high level of background, associated with the uncontrollable formation of bubbles during the reaction which was particularly pronounced in this sample.
tracted EXAFS signal by analytically fitting the EXAFS signal as a convolution of an 'initial' state ([Fe(L) 3 (Cl) 3 ] complexes) and 'final' state (crystalline α-Fe 2 O 3 ).This analysis provides the population of each state as the reaction progresses and shows the stark systematic differences when water is added.Data and fits for the final nanoparticulate state are shown in the ESI (Figure S9), †alongside XRD (Figure S10) and TEM (Figures S13-S14). 56he CA output was then normalised to the starting material con-
centrations in order to obtain kinetic reaction data, which is shown in the insets to Figure 7.It is known that such reactions rely upon thermal hydrolysis of the urea in the DES. 39,40It is noteworthy that EXAFS is not sensitive to this hydrolysis reaction, but only to coordination changes around the Fe centre.Only linear variations in iron complex concentration are observed, other than a discontinuity in the pure DES measurements at 5,000 s.The measurements therefore show pseudo-zero-order behavior for iron, suggesting that the iron complex reaction is limited by the rate of urea hydrolysis and diffusion of hydrolysis products; being a component of the solvent, the urea concentration is in a huge excess.Table 4 shows calculated pseudo-zero-order rate constants for Fe.When hydrated, the concentration of iron precursor decreases instantly, quickly and linearly, with minimal concentration effect.This yields rates of 28.6 ± 0.38, 29.6 ± 0.57, and 27.0 ± 1.72 µmol kg -1 s -1 for 0.15, 0.20 and 0.25 mol kg -1 of [Fe(L) 3 (Cl) 3 ] respectively, meaning that the difference in observed endpoint is almost entirely determined by the quantity of iron which must react, ie. the reaction is zero-order in iron.The minor differences in rate could be explained by the initial iron concentration also affecting the nitrate and water concentrations, which slightly modify the solution viscosity and ionic strength.As highlighted in the SAS analysis, nanoparticles nucleate and are observable immediately for this system, and then grow rapidly before fusing.The reaction midpoint for each concentration, respectively around 2,500 s, 3,100 s and 4,500 s for 0.15, 0.20 and 0.25 mol kg -1 of [Fe(L) 3 (Cl) 3 ], aligns with the fusion point where large-scale 1D nanostructures form, as shown in the steep rise in R eq in Figure 5b.Conversely, the iron in the pure DES system has two linear rate regimes (k 1 and k 2 ) across all concentrations, from 0 to 5,000 s (faster) and from 5,000 to 15,000 s (slower).The first region is comparable to the rate seen for the hydrated system, with rates of 22.1 ± 0.45, 27.0 ± 0.76 and 26.7 ± 0.86 µmol kg -1 s -1 for 0.15, 0.20 and 0.25 mol kg -1 of [Fe(L) 3 (Cl) 3 ] respectively.Slight rate discrepancies between runs are expected due to possible nonuniformity in the cells and heating.There is a clearer concentration effect for the pure DES samples, with the lowest concentration of iron precursor yielding the slowest rate.This result likely reflects the sample viscosity, with the lowest iron concentration giving a water content of 2.3 wt.%, as opposed to 3.0 wt.% and 3.7 wt.% for the higher concentrations.The reactions proceed at this rate until 5,000 s, which matches the nucleation point of SAS analysis.Following this event, the reaction slows dramati-cally and the concentration effect of the [Fe(L) 3 (Cl) 3 ] becomes stronger; k 2 is reduced respectively to 7.3 ± 0.23, 8.8 ± 0.27, and 12.1 ± 0.37 µmol kg -1 s -1 + for 0.15, 0.20 and 0.25 mol kg -1 of [Fe(L) 3 (Cl) 3 ].This supports the idea of nucleation at this point, causing a local depletion of iron species following particle formation, slowing the reaction.

Discussion
The measured initial state of the system has several important implications.Firstly, EPSR models of the data support our interpretation and fitting of the EXAFS data to an octahedral fluxional [Fe(L) 3 (Cl) 3 ] complex structure, rather than polyanionic species proposed for similar systems which contain only anionic chloride. 63Most of the DES components, especially those containing an oxygen atom, are able to bind iron.As water content is increased, the coordination sphere predictably becomes more water-dominated.It was previously hypothesised that the unusual coordination chemistry of metal ions in DES could lead to potentially useful effects, such as the liquid-phase pre-structuring of reactive compounds, to reduce the activation barrier to reac- 39 This study suggests that this is only true of the pure DES, as even small quantities of water make the complex more like that seen in aqueous solution; the relatively low molar mass of water in the solution means that even small weight-percentages are swamping in molar terms, despite a deceptively small volume or mass fraction.The bulk solution structures were also compared with DES samples without dissolved iron salt.In all cases, the introduction of the iron salt disrupted the DES structure, predominantly because the formed iron complex slightly reduces the bulk Cl -concentration.Further local disruptions in the H-bond network arise due to interactions of the DES with the [Fe(L) 3 (Cl) 3 ] complex.These two factors cause a series of disruptions in the intermolecular and site-site coordination numbers, which are difficult to predict a priori; the reaction mixtures studied here are already complicated multicomponent mixtures.The negligible Fe-Fe solution interactions prove that the complexes are stable and do not interact prior to the onset of heating.Next we propose a mechanism for the reaction and nanoparticle formation in ChCl:urea DES, from the combined analysis.Initially, a stable [Fe(L) 3 (Cl) 3 ] complex forms in both solutions, which is fluxional in nature.The ligand L can variably be that of any Ocontaining donor species in the mixture and is more likely to be H 2 O in the hydrated mixture.When the mixture is heated above ca.80 °C, the reaction commences.As has been discussed extensively for such reactions in amide-based DES, above this point the urea in the DES begins to hydrolyse, forming basic products such as ammonia and carbonate ions.For lanthanides, this caused the formation of insoluble nanometer-scale lanthanide carbonate species. 39,83For iron compounds, this does not occur, and rather it is suggested that the chemistry is fundamentally the same as aqueous iron oxide-forming reactions.Iron salts are hydrolysed under basic conditions to form a gamut of dry and hydrated oxides, hydroxides, and oxyhydroxides, through intermediate [-O-Fe-O-] network structures. 82,84As urea is hydrolysed over time, so too therefore is the initial [Fe(L) 3 (Cl) 3 ] complex, which may occur as chloride is selectively scavenged by ammonium ions in solution to form solvated NH 4 Cl, or through reaction of degradation products such as hydroxide with the complex.The limitations of the techniques used do not allow this to be specifically resolved, but suggest pseudo-zero-order kinetics in iron due to the reaction rate being dictated by the hydrolysis of urea, which is in massive excess as an intrinsic component of the solvent.At the constant reaction temperatures studied in the DES, the urea hydrolysis rate is therefore controlled by the water content and viscosity, and thus indirectly by the iron concentration as these are hydrated iron salts.EXAFS suggests that the complex forms Fe(O) x centres, which then form oligomeric [-O-Fe-O-] network structures.Once these exceed the solubility limit, which itself changes over time due to solvent degradation, nanoparticles begin to nucleate and grow.In the hydrated DES this is immediate like in aqueous systems, due to the low solubility of such [-O-Fe-O-] species.However, analysis of EXAFS, SAXS and SANS data all agree that the pure DES system remains homogeneous until 5,000 s, at which point nucleation occurs.Therefore, as the reaction progresses, prior to nucleation the oligomeric [-O-Fe-O-] iron complexes that are formed are stabilised and more soluble the solvation environment of DES.Following this point, the reaction slows markedly in the pure DES.This may be due to several effects, but could simply be the onset of a more strongly diffusion-limited condition as the formation of nanoparticles increases the solution viscosity, and creates a zone depleted in iron species locally where the particles have nucleated.Slow growth oblate spheroid nanoparticles is then observed in the pure DES, whereas nanoparticles grow rapidly in the hydrated DES into highly elongated 1D structures.For both the pure and hy-DES, neutron contrast effects are observed which suggest the formation of choline-rich layers near the surface, in agreement with previous experimental observations of extensive structuring at the DES/solid interface. 20,23,79,80This choline-enriched boundary layer may have a nanoparticle surface capping effect, especially in the hydrated system where the growth rate is highest and templated 1D growth of nanoparticles is seen.Cholinium can therefore masquerade as a cationic surfactant due to the structural similarity, inhibiting certain growth axes. 78

Conclusions
A deep eutectic-solvothermal reaction for the formation of iron oxide nanoparticles has been studied in situ using SANS, SAXS, EXAFS, neutron and X-ray diffraction and atomistic modelling.While this is a complicated multicomponent system with many experimental challenges, the initial and final states of the reaction were determined, and the reaction and nanoparticle formation were followed.Upon dissolution, an initial [Fe(L) 3 (Cl) 3 ] complex forms, which is remarkably similar in both pure and hydrated DES.This is then broken down over time following thermal hydrolysis of the urea in the DES, precipitating iron oxide nanoparticles which then grow into either small oblate spheroids in the pure DES, or large 1D nanoparticles in the hydrated DES.This process of nanoparticle nucleation and growth begins instantly for the hydrated system, but in the pure DES this is inhibited until a threshold reaction time has elapsed, likely due to the higher solubility of the hydrolysed Fe complex (ie.[-O-Fe-O-] network structures) in DES.SANS/SAXS analysis provides evidence for a choline-enriched boundary layer at the nanoparticle interface.We have therefore for the first time provided insights across multiple length and time scales into the broad spectrum of processes which occur within DES when used as a medium for nanomaterial synthesis.Firstly, this is a unique study into the inorganic coordination chemistry, speciation and solvation occurring within the DES, in pure and hydrated states.Moreover, this is also the first study of its kind to measure such reactions in DES in situ using small-angle scattering and EXAFS.This helps to enable further understanding of these solvents on a fundamental level, and in the concept of deliberately degrading solvents to drive nanoparticleforming reactions.Ultimately, this understanding will allow for the rational development and design of DES systems to produce more environmentally sustainable nanomaterials for applications such as energy and pollution remediation, which will hopefully contribute towards ameliorating the cluster of unfolding environmental disasters which threaten humanity.

Table of Contents Graphic and Text
The formation mechanism of iron oxide particles grown in a deep eutectic solvent have been studied using a combination of advanced structural techniques to probe the full range of length scales from molecular precursors to final particles.Initial chloride containing iron complexes react to form oxygen containing species which precipitate at different stages depending on the presence of water, forming nanoparticles with morphologies dependent on solvent composition.

Fig. 1
Fig. 1 EXAFS data (coloured markers) and fits to the data (black solid lines) for the pure DES (magenta; a, b) and hydrated DES (teal; c, d).Data and fits are shown in k-space (left; a, c) and r-space (right; b, d).Fits were made in Artemis, in r-space, to a 6-coordinate octahedral complex with 3 O and 3 Cl ligands.Fitting ranges were 1 -2.21Å (pure DES; corresponding k-range 2.40 -13.24Å -1 ) and 1 -2.13Å (hydrated DES; corresponding k-range 2.50 -13.23 Å -1 ).Calculated bond lengths for the Fe-O and Fe-Cl binding are shown in insets to b and c.The geometry of the complex was fitted using a hexacoordinate Fe(O) 3 (Cl) 3 complex as a starting point by floating the bond lengths and altering the ligand degeneracy and composition to obtain the best chemically-sensible quality of fit.The exact identity of the ligands corresponding with Fe-O bonds cannot be resolved from this technique.

Fig. 3
Fig. 3 SDF plots showing most likely 3D configurations of chloride, iron, nitrate, choline, and water, around central choline, urea, and water molecules, in both the pure and in the hydrated DES in the presence of iron nitrate nonahydrate.Isosurfaces are universally plotted at the 7.5% probability level to facilitate comparison of the degree of order.

Fig. 4
Fig. 4 Example background-subtracted time-resolved SANS data measured using BILBY for 0.35 mol kg -1 of Fe(NO 3 ) 3 •9 H 2 O in pure DES; DES were prepared with choline:urea deuteration of H:D (a) and D:D (d).Data for the concentration series were fitted using batch Guinier modelling and the extracted radius of gyration (R g ) and Guinier scale factors are shown in (b) and (c) for the H:D contrast, and (e) and (f) for the D:D contrast respectively.Note that the magnitude of the ordinate in (b) and (e) is identical, but that of (c) is approximately double that of (f).

Fig. 5
Fig. 5 (a) Fitted equatorial (R eq ) and polar (R po ) radii as a function of time for the pure DES and (b) for the hydrated DES, in the H:D contrast.The tie line for (b) is drawn at 65.5 nm, the approximate length scale maximum.Above this length the model fit is no longer sensitive to changes in this parameter, when using model-based (oblate-ellipsoid) fitting to the data within SasView.

Fig. 7
Fig. 7 Corrected, time-resolved and Fourier-transformed EXAFS data for 0.15 mol kg -1 of Fe(NO 3 ) 3 •9 H 2 O in the pure (a) and hydrated (b) DES.(Inset) Analysis of the EXAFS data using CA showing linear regions fitted to the kinetic data for the three starting concentrations of 0.15 (black), 0.20 (teal), and 0.25 (magenta) mol kg -1 of Fe(NO 3 ) 3 •9 H 2 O, for (a) the pure and (b) the hydrated DES.Kinetic information was linearly fitted in the pre-and post-intermediate region for the pure DES (ca.4900 s) and across the region from 0 -5000 s in the hydrated DES.Fits were performed across the same timescale for each concentration series.For the high-water, high-concentration sample, datapoints were removed which had an unacceptably high level of background, associated with the uncontrollable formation of bubbles during the reaction which was particularly pronounced in this sample.

Table 1
Calculated variance in the intrinsic solvent water content as a function of iron nitrate concentration

Table 4
Calculated rate constants from interpretation of EXAFS data processed with CA and the associated standard error.Data were calculated assuming pseudo-zero-order conditions, with one step in the hydrated system and two steps in the pure DES Initial [Fe(L) 3 (Cl) 3 ] (mol kg -1 ) k 1 (µmol kg -1 s -1 ) k 2 (µmol kg -1 s -1 ) *Data are for the hydrated choline chloride-urea-10w system.