JOURNAL OF POLYMER SCIENCE WWW.POLYMERPHYSICS.ORG FULL PAPER Structure of Polymer and Particle Aggregates in Hydrogel Composites € ns Hilborn,1 Adrian R. Rennie3 Ida Berts,1,2 Yuri Gerelli,2 Jo 1 € m Laboratory, Uppsala University, Box 538, 75121 Uppsala, Science for Life Laboratory, Department of Chemistry–Ångstro Sweden 2 Institut Laue-Langevin, 6 rue Jules Horowitz, BP 156, 38042 Grenoble, France 3 Department of Physics and Astronomy: Materials Physics, Uppsala University, Box 516, 75120 Uppsala, Sweden Correspondence to: I. Berts (E-mail: [email protected]) Received 5 November 2012; accepted 19 November 2012; published online 18 December 2012 DOI: 10.1002/polb.23230 ABSTRACT: Knowledge of the structure of a biomaterial is usually vital to control its function. This article provides a structural characterization of a hyaluronan scaffold that has demonstrated good biocompatibility and is used to induce bone regeneration. Hyaluronan hydrogels are appealing materials that can function as a matrix to incorporate both organic and inorganic substances to enhance tissue growth. Because of the intrinsic properties of this swollen matrix, one needs a very sensitive technique that can be applied in situ to determine the organization of the polymers in a gel. Small-angle neutron scattering is used to determine the characteristics of the inhomogeneous structure of the hydrogel both with and without added particles. The results are interpreted using models of structure with two length scales that are beyond the traditional picture of homogeneous gels. The observed structure and the dimensions can explain the previously reported rheological properties of gels containing different amount of polymers. Hydroxyapatite nanoparticles added to the gel are frozen in the gel matrix. We are able to determine the distribution and shape of these particles as they aggregate around the polymer chains. We have also concluded, in this case, that the particle structure is concentration independent. Information about the nanostructure for an applicable biomaterial guides the formulation, preparation, and use that should lead to further understanding of its exploitation. C 2012 Wiley Periodicals, Inc. J. Polym. Sci., Part B: Polym. V Phys. 2013, 51, 421–429 INTRODUCTION Hydrogels are three-dimensional crosslinked polymer networks that are capable of absorbing large amounts of water.1 These polymer networks with either chemical or physical crosslinks provide stable structures and, for the past 35 years, have been extremely useful due to their resemblance of natural tissue and their biocompatibility.2 Hydrogel matrices based on hyaluronan are popular materials for biomedical applications such as drug delivery,3 tissue engineering,4 and aiding wound repair.5 Recent developments within tissue engineering, pharmaceutical, and cell encapsulation applications involve in vivo injectable systems. These materials can form a temporary scaffold in situ that functions as an artificial extracellular matrix which can accommodate cells and promote their growth in threedimensions and thus form new tissue.6 A recent review has focused on materials for bone and cartilage regeneration using polymer gel scaffolds that are able to incorporate components that aid growth, such as cells or bioactive substances, and inorganic particles.7 rounding tissues, retention, and protection of the growth promoting agents and in addition mechanisms for controlled release. Synthetic modification of natural polymers is a good strategy to obtain new properties that are significantly different from their precursors.8,9 For example, a two-component system based on lightly derivatized water-soluble aldehydemodified sodium hyaluronan (HAA) and hydrazide-modified polyvinyl alcohol (PVAH) that forms a gel upon mixing has been developed.10–14 Hydrozone formation provides covalent crosslinks between the two components in aqueous solution: this may take place in situ to minimize invasive surgical procedures. Incorporating nanoparticles into polymer matrices has been widely investigated, as nanocomposites have several advantages in respect of their mechanical properties.15 For bone regeneration, it is particularly useful to increase the mechanical strength of the scaffold. Calcium phosphate ceramics are widely considered as bone substitutes.16 Nanosized hydroxyapatite particles (nano-HAP) have been successfully dispersed in polymer gels. Particles with a diameter of roughly 20 nm have been shown to enhance the proliferation of mesenchymal stem cells.17,18 Moreover, the nano-HAP induces bone growth with a higher density than that formed using A gel scaffold based on a natural polymer can provide properties such as strong attachment and integration to the sur- KEYWORDS: biopolymers; correlation length; hydrogels; nanocomposites; neutron scattering hyaluronan; C 2012 Wiley Periodicals, Inc. V WWW.MATERIALSVIEWS.COM JOURNAL OF POLYMER SCIENCE, PART B: POLYMER PHYSICS 2013, 51, 421–429 421 FULL PAPER WWW.POLYMERPHYSICS.ORG other calcium phosphate additives. This could be due to the nanocrystals being directly incorporated in the regenerated bone.19 The structure of gels and their properties can depend sensitively on the details of preparation and composition. These factors are not well understood. The modification of the structure by particles and their state of aggregation are also important influences on physical properties of materials. Parameters that characterize the hydrogel network structure include the molecular mass (or the polymer chain length) between two neighboring crosslinks, the corresponding mesh size, and the effective network density.20,21 These are related to elastic properties by the theories of rubber elasticity that, for example, can be used to calculate swelling by solvent.22,23 According to Peppas et al.,24 the molar ratio of crosslinking agent to monomer, which is directly related to the structure of hydrogels, is one of the most important factors that affects the swelling. The average correlation distance between two adjacent crosslinks can be calculated using the Flory–Rehner model,25 which states that a polymeric gel in equilibrium with surrounding solvent is a result of the balance of two opposing forces: the pressure arising from the thermodynamics of mixing and the retractive force that arises from the changes in entropy of the polymer chains. For hydrogels, it may also be necessary to take into consideration the additional contributions from ions. Numerous studies have focused on the determination of the degree of polymerization between crosslinks.26,27 The outcome of the swelling studies, however, depends strongly on how the gels are prepared, and the conditions of swelling such as temperature, solvent, and the other thermodynamic state variables of the sample. Studies by Piskounova et al.28 have shown that different solvents give rise to different swelling profiles. It was observed that gels in cell culture medium swelled significantly more than in phosphate buffered saline. The degree of mixing of the gel components can affect the crosslinking, which in turn also alters the structural and mechanical properties of the gel. Another problem with the swelling performance is the stability of the hydrogels. Many hydrogels are very brittle and rupture or decompose easily in solvent if they are not constrained. Keeping the gels in containers on the other hand, limits the diffusion of solvent into the gel. The two-component hydrogel systems also have to be assumed to be homogenous for the calculations of the crosslinked molecular mass.29 An alternative characterization of crosslinked hydrogels using high-resolution, magic-angle spinning NMR spectroscopy was presented by van Vlierberghe et al.30 and applied to gelatin-based hydrogels where the samples were freeze-dried and reswollen in solvent. This quantifies unreacted crosslinkable groups. In this study, small-angle neutron scattering (SANS) measurements on hydrogels were used to determine the correlation length inside the gel, how the local structure of the gel is perturbed by different amounts of particles as well as to explore the range over which fractal aggregates of nano-HAP are found in the materials. Previous SANS experiments performed by Mangiapia et al.31 on freeze/thaw treated PVA 422 JOURNAL OF POLYMER SCIENCE, PART B: POLYMER PHYSICS 2013, 51, 421–429 JOURNAL OF POLYMER SCIENCE hydrogels suggested a bicontinuous phase structure with polymer-rich regions dispersed in water-rich regions. The work of Jha et al.32 involved spherical hyaluronan hydrogel particles. They compared the scattering exponent in the low momentum transfer regimes between the hydrogels particles with traditional bulk hydrogels, and suggested that the hydrogel particles increase the network density. Horkay et al.33 compared the scattering of hyaluronan solutions and hyaluronan crosslinked with bifunctional low molecular weight crosslinkers and suggested that the crosslinking only increased the observed intensity in the intermediate range of the SANS spectra. The disadvantage in using bifunctional low molecular weight crosslinkers is that they may cause single chain looping or self crosslinking which does not contribute to the mechanical integrity of a hydrogel. Using a two-component system based on different polymers that crosslink on contact as described in this article can provide a more stable gel with more predictable structure. SANS is an outstanding tool for quantitative evaluation of hydrogel networks. Neutrons interact weakly with the nuclei of the sample therefore do not cause radiation damage. The penetration of the neutrons and the microscopic resolution provides nanometer scale determination of structures within thick samples.34 Moreover by using contrast matching, one could prepare gels in mixtures of H2O and D2O such that the scattering arises mainly from the polymeric matrix or from the composite. EXPERIMENTAL Materials The HAA, modified with a 6% aldehyde functionality of repeating units and a molecular mass of 180 kDa,11 was provided by Termira AB, Stockholm, Sweden, The PVAH, modified with a 9% hydrazide functionality of repeating units and a molecular mass of 14 kDa, was prepared as described previously.13 The nano-HAP particles were prepared as described by Hu et al.17 Transmission electron microscopy studies performed by Hu et al. showed that the particles were crystalline and grain-like. Dynamic light scattering confirmed a uniform particle size distribution with an average diameter of 20 nm and 20% polydispersity.17 For the neutron experiments, deionized water, passed through a purification system (Milli-Q, resistivity ¼ 18.2 MX cm), was used in all experiments. D2O was supplied by EURISO-TOP, CEA, Saclay. Hydrogel Preparation Gel samples are prepared with a total polymer concentration of 5, 15, and 30 mg mL"1 using D2O as solvent. The 5 mg mL"1 gel sample were prepared from separate solutions with 8.89 mg mL"1 HAA and 1.11 mg mL"1 PVAH. The 15 mg mL"1 sample used 26.70 mg mL"1 HAA and 3.30 mg mL"1 PVAH. Gels prepared by mixing 53.36 mg mL"1 HAA with 6.64 mg mL"1 PVAH has a total concentration of 30 mg mL"1. The concentrations of each component are calculated to have a 1:1 ratio of the respective crosslinking groups. The gels were formed during rapid mixing and injecting of the two polymer components into the sample holder. The nanocomposite samples were all prepared with the 15 mg mL"1 gel as matrix to form samples that contain a total of 5, 10, JOURNAL OF POLYMER SCIENCE FULL PAPER WWW.POLYMERPHYSICS.ORG TABLE 1 Properties of Materials Used in the Study Names Formula Molecular Mass (g mol"1) Density (g cm"3) SLD (10"6 Å"2) Hyaluronan monomer C14O11H21N 401 1 1.39–2.28 HAA monomer C16O11H24N2 420 – – PVA monomer C2OH4 44 1.26 0.72 PVAH monomer C5O3H9N3 159 – – Hydrogel – – 1 2.23a Nano-HAP Ca10(PO4)6(OH)2 1004 3.16 4.19–4.51 D2O D2O 20 1.1 6.35 H2O H2O 18 0.997 "0.56 a Calculated based on the fraction of HAA and PVAH in a gel with the respect to the deuterium-hydrogen exchange. and 20 wt % nano-HAP. The nano-HAP particles were dispersed in the HAA component before mixing with the PVAH component for gelation. Different contrasts were used to be able to apply contrast variation in the evaluation of the scattering intensity for the gel in the nanocomposite samples. These samples were made in D2O, polymer matrix matched water (2.23 # 10"6 Å"2), nano-HAP matched water (4.19 # 10"6 Å"2) and additional solvent contrasts of scattering length density (SLD) of 3 and 5 # 10"6 Å"2. A summary of the physical properties of the materials used is provided in Table 1, which includes molecular mass, density, and SLD. The hydrogel samples were prepared 1 day before the measurement so that they reached equilibration as stable networks. They were mixed and contained in 1-mm path length fused quartz cells. Figure 1 shows one gel sample and one nanocomposite sample, each in a sample cell. SANS Measurement SANS measurements were performed on the small-angle diffractometers D11 and D22 at the Institut Laue Langevin, Grenoble.35,36 The wavelength was selected as either 6 or 10 Å. A two-dimensional 1 # 1 m2-position sensitive detector at three different sample-to-detector distances (1.78, 8, and 39 m for D11 and 1.4, 5, and 17 m for D22) measured scattering from the samples. These configurations allowed the collection of scattering data in an interval of transferred momentum [Q ¼ (4p/k) sin h] between 0.0015 and 0.5 Å"1, where 2h is the scattering angle and k is the wavelength. The measurement times ranged between 30 min and 1.5 h per sample. Raw data were corrected for the electronic background, detector efficiency, and empty cell scattering using the programs RNILS and SPOLLY37 and software provided by ILL. Incoherent scattering subtraction was performed on the absolute intensity curves to remove the background contributions from the solvent and from the sample itself. Data modeling were performed using Origin Pro and the SASfit program.38 it is often convenient to describe two different components of the structure. These components may be taken as giving rise to two separate contributions to the observed scattering: I tot ¼ I S þ I L (1) in which IS is the scattered intensity that arises from small structures and IL comes from the large structures. The term IS dominates the large-Q region, here the Ornstein-Zernike (Lorentzian) equation is commonly used to describe the solution scattering from overlapping polymer coils39–41 as found in gels: I S ¼ A=ð1 þ Q2 n2 Þ (2) where n is the thermal correlation length, usually ascribed to the mesh size of the gel.42 This equation has been used by MODELS FOR GEL STRUCTURES Several models have been suggested for the structure of gels. Many gels are not homogeneous at all length scales and WWW.MATERIALSVIEWS.COM FIGURE 1 Gel sample (left) and nanocomposite sample (right) in 1-mm path length fused quartz sample cells. JOURNAL OF POLYMER SCIENCE, PART B: POLYMER PHYSICS 2013, 51, 421–429 423 FULL PAPER JOURNAL OF POLYMER SCIENCE WWW.POLYMERPHYSICS.ORG Geissler et al.,41 and was previously described by de Gennes43 and by Higgins and Benoı̂t.34 The scattering depends on the thermal fluctuations and the factor A is thus given by the difference in SLD between the polymer and the solvent (Dq2), Boltzmann’s constant kB, the absolute temperature T, the volume fraction of the polymer u, and the osmotic modulus Mos.44 Mos governs the scattering properties of the gel, and is related to the polymer concentration fluctuations.45 The constant in eq 2 is related to the model as: A ¼ Dq2 # ðk B Tu2 =M os Þ (3) For polymer solutions, the expression for the scattering intensity shows the same Q dependence as eq 2. However, the factor A has a different physical meaning. The observed scattering intensities from gels are usually larger than those of the corresponding polymer solutions.45 This is because the compression modulus K for a gel is smaller than that of the corresponding solution, as there is a significant shear modulus G.45–47 The relation between these quantities and the elongational or Young’s moduli, E, is given by: K ¼ E " 4G=3 (4) For solutions Mos in eq 3 is replaced by Kos. Kos differs from Mos as it scales with the polymer concentration and is independent of the number of monomers between two neighboring crosslinks in gel.23,25 A modification of eq 2 for IS has been suggested by Horkay et al. for semiflexible polysaccharides that exhibit rod-like structures.33,48 The assumption is made that polymer segments randomly distributed at all length scales could be modeled as stiff chains. The rod-like structure of the polymer gives rise to intensity given by: I 0 s ¼ A=½ð1 þ QLÞð1 þ Q2 r 2c Þ( For neutral gels, the large scale inhomogeneities IL may be described by the Debye-Bueche structure factor.49 For the concentration fluctuations of the network44 that are influenced by the physical constraints imposed by the crosslinks.41 These clusters of crosslinks dominate the scattering at low Q. (6) The large structures in a gel are sometimes difficult to define from scattering data due to the size of the clusters that is generally larger than the length scale probed, and uncertainties in the small Q region. Horkay et al.33 suggested a power law decay with a general form: I 0L ¼ C # Q"d (8) where C is a constant and the exponent d is an arbitrary number, describing the slope in a log–log plot.50 Clearly, eq 8 could approximate the functional form of eq 6 when data are only available in a restricted Q range. Equations 5 and 8 can be combined to give I 0tot ¼ I 0S þ I 0L (9) Itot is eq 5 in the article of Horkay et al.33 This model for the total intensity has been adopted to describe sodium polyacrylate gels, DNA gels and hyaluronan solution and hyaluronan gels crosslinked with ethylene glycol diglycidyl ether. 0 RESULTS AND DISCUSSION where factor B is B ¼ Dq2 # 8pN3 <Du2 > (7) the correlation length N can be related to the average distance between polymer-rich regions in an inhomogeneous gel but the contribution of IL to the total intensity is negligible in the large-Q region.43 < du2 > is the mean square am424 plitude of the fluctuations of the volume fraction. Equation 1 can be taken as the sum of eqs 2 and 6. This describes a two-phase system presenting two correlation lengths with two different length scales in a gel; n as the correlation length inside the polymer clusters, and N as the distance between the clusters. A schematic diagram that shows how the two different correlation lengths can be interpreted is given in Figure 2. (5) in which L is the length of the rod and rc is its radius of cross section. For polysaccharides like hyaluronan, the rcvalue has been taken as 5 Å.33 I L ¼ B=ð1 þ Q2 N2 Þ2 FIGURE 2 Schematic diagram of the inhomogeneities in a gel network. The two different correlation lengths, n and N, are shown. JOURNAL OF POLYMER SCIENCE, PART B: POLYMER PHYSICS 2013, 51, 421–429 Scattering from the HAA Solution As the main component of the hydrogel, a polymer solution of 15 mg mL"1 HAA in D2O was measured to compare with the corresponding gel (Fig. 3). Inspection of the figure shows that the scattering intensity is approximately the same for the solution as for the gel, with an increased scattering intensity for the gel in the intermediate Q range. It has been JOURNAL OF POLYMER SCIENCE FULL PAPER WWW.POLYMERPHYSICS.ORG at this concentration; however, the low scattering from the sample in the high-Q region, where the intensity is significantly less than that for pure D2O, is the main source of the uncertainty in the fitted parameters. A fit using eqs 8 and 2 are very similar to the fit using eq 9, the same parameters were applied for both fits except for L and rc, which are replaced by n ¼ 9 6 1. This indicates that the stiffness and influence of rod-like structures is negligible on the scattering from the sample. FIGURE 3 SANS spectra of a 15-mg mL"1 HAA solution (n), with the fit (solid line through the data points), compared with the corresponding gel sample (h). The data presented are in absolute units and show the same intensity. suggested that this arises from crosslinks.33 Hyaluronan is a semiflexible, wormlike chain with a persistence length of about 8 nm.51 Because of its long persistence length and the stiffness of the chains, the polymers in solutions exhibit an extended random-coil configuration, and the long chains permeate a large volume.52 Consequently, the chains overlap at very low concentrations. According to Fraser et al.,52 for hyaluronan of molecular mass 0.1–10 MDa, entanglement starts at concentrations as low as 0.5–1.0 mg mL"1. The figure also shows high intensity in the low-Q region that is interpreted as large-scale inhomogeneities in the HAA solution of 15 mg mL"1 that arise from association between the large stiff polymer molecules similar to those that arise from entanglements or crosslinks. This region is dominated by a linear behavior (in log-log scale) with a slope ranging between "3 and "4 that is comparable with the work of Horkay et al.33 A fit to this part of the data using eq 8, gives d ¼ 3.3 that lies in the expected range 3 < d < 4 which would occur for surface scattering from clusters that are very large (>1000 Å). This is characteristic for polyelectrolyte solutions.53 Equation 9 was used to fit the complete range of data from the solution sample. The parameters used are shown in Table 2. However, the apparent length of the rods (L) is much lower than the persistence length of the polymer in dilute solutions with a low concentration of salt. This may be due to the interactions that occur between hyaluronan molecules Scattering from the Gel The scattering data obtained from the gels at different concentrations are shown in Figure 4. The measured intensity for the 5 and 15 mg mL"1 samples scales almost linearly with the concentration, whereas the 30 mg mL"1 varies more strongly with Q below 10"2 Å"1. It is clear that the low-Q region is dominated by a linear behavior with a slope ranging from "2.6 for the lowest gel concentration up to "3.0 for the highest gel concentration. The SANS data for both the samples of crosslinked gel and the corresponding uncrosslinked HAA solution could be fitted with the same model, eq 9, this strategy was also used by Horkay et al.33 The data and a model fit for the gel concentration of 15 mg mL"1 in D2O are shown in Figure 5 with the total fit and each of the two components (eqs 5 and 8). The data and model fit for the 30 and 5 mg mL"1 gel are shown in Figures 6 and 7, respectively. The parameters used are listed in Table 2. Equation 9 provides the best fit to the data while using eqs 2 and 6, or eqs 2 and 8, does not give a fit that is as satisfactory. This could indicate presence of stiff structures within short-range regions caused by the crosslinks, best described by eq 5. In such systems, the length of the rod L describes the distance between the crosslinks inside the polymer clusters (i.e., the local structure of the gel). One can assume that the PVAH polymers with a significantly lower molecular mass compared with the hyaluronan polymers, act as crosslinkers and contributes to the dense crosslinking described by L. The parameter A increased with the concentration of the hydrogel polymer components, suggesting a constant osmotic modulus for the 5 and 15 mg mL"1 gel samples. The derived Mos of about 30 kPa is similar to the value obtained by Horkay et al. for an hyaluronan gel prepared using small molecular crosslinkers.33 The correlation length, L, could be considered as a constant with concentration indicating that the local structure of these network portions is similar, and L is close to the persistence length of the hyaluronan polymer. The value of 12 Å for the lowest gel concentration is TABLE 2 Parameters from the Fits to Solutions and Gels According to eq 8, Including the Derived Values of Kos Sample Description Concentration (mg mL"1) A (#10"3 cm"1) C (#10"7 cm"1) L (Å) rc (Å) D Mos (kPa) HAA solution 15 661 0.20 6 0.04 661 5 3.32 6 0.03 260 6 45 (Kos) HAA-PVAH gel 5 561 562 12 6 7 5 2.60 6 0.07 35 6 7 HAA-PVAH gel 15 49 6 16 661 72 6 28 5 2.73 6 0.04 32 6 12 HAA-PVAH gel 30 85 6 20 861 63 6 18 5 2.95 6 0.02 74 6 18 WWW.MATERIALSVIEWS.COM JOURNAL OF POLYMER SCIENCE, PART B: POLYMER PHYSICS 2013, 51, 421–429 425 FULL PAPER WWW.POLYMERPHYSICS.ORG FIGURE 4 SANS data for the hydrogels of 5 (*), 15 (n), and 30 mg mL"1 (~) in D2O, scaled to 1 mg mL"1. also not determined precisely due the low scattering from the sample. A fit using 60 Å < L < 70 Å also lies within the error bars of the data points; however, we report the parameters that gave the lowest residual in the fit. The persistence length L for the gel is much higher than for the corresponding solution. This can be explained by the effect of local conformation: there are permanent crosslinks for gels and fluctuating entanglements for the chains that are mobile in solutions. For gels, the fluctuations depend on elastic moduli that include a significant shear component as described in eq 4. This directly relates to the lower scattering intensity for the polymer solution shown in Figure 3. For the larger structures, eqs 6 or 8 indicate the presence of aggregates or clusters in the form of polymer-rich regions in an inhomogeneous gel. The exponent, d, of eq 8 increases with the sample concentration. This behavior is most significant for the 30 mg mL"1 sample with d)3. This equation FIGURE 5 SANS data and fitted model for the 15 mg mL"1 hydrogel in D2O. The fit (solid line) consists of two compo0 0 nents: IS is the dashed line and IL is the dotted line, shown separately. 426 JOURNAL OF POLYMER SCIENCE, PART B: POLYMER PHYSICS 2013, 51, 421–429 JOURNAL OF POLYMER SCIENCE FIGURE 6 SANS data and model for the 30 mg mL"1 hydrogel in D2O. provides only limited information regarding the overall size; however, eq 6 could provide more information. The models fitted using eq 6 on the smallest range of Q for all three concentrations of gels indicate that N is in the range of 1000 Å or larger for the two lowest concentrations, whereas for the 30 mg mL"1 gel, this size is even higher (almost double). Precise values are difficult to determine because of the uncertainties and limited data in the low Q region. However, this result suggests that the average distance between polymer-rich regions was larger for the highest concentration. This result can be related to the rheological properties of the different gel samples. The rheological behavior, or viscoelastic properties, of gels depends on the connectivity between polymer-rich regions. An oscillatory shear rheology study of the same gel system has been described by Berts.54 The samples were cast as cylinders of height 0.4 mm and diameter of 19 mm. Frequency sweeps were performed using parallel plate geometry. The strain was maintained at 0.5%, and the frequency range was FIGURE 7 SANS data and model for the 5 mg mL"1 hydrogel in D2O. JOURNAL OF POLYMER SCIENCE WWW.POLYMERPHYSICS.ORG TABLE 3 Rheological Properties of the HAA-PVAH Gels at 1 Hz Concentration (mg mL"1) G0 (Pa) 5 20 6 5 0.4 6 0.1 15 160 6 40 2.0 6 0.6 30 2.0 6 0.5 0.2 6 0.1 G00 (Pa) scanned between 0.1 and 10 Hz. The elastic modulus G0 and viscosity modulus G00 are shown in Table 3 for a frequency of 1 Hz where the G0 had reached a plateau. Hydrogel samples were found to have higher elastic moduli with increasing polymer concentration. The elastic modulus G0 changed from 20 to 160 Pa on increasing the concentration from 5 to 15 mg mL"1, and this is explained by the density of links between polymer-rich clusters. However, the 30 mg mL"1 hydrogel, appeared highly viscous and the final gel still had a fluid behavior in the rheological tests with G0 about 2 Pa. The SANS data for this high concentration sample suggests a structure with many dense clusters, which might not be well linked together. The value of Mos for the 30 mg mL"1 gel is double that of the gels with lower polymer concentration, which suggests that some phase separation occurred.47 This result is consistent with the rheology data that could be attributed to poor polymer integration or mixing. Inadequate mixing of one polymer component into the other would create only local crosslinks that could increase the density of local networks and increase the number of these networks without having extensive crosslinks between them. An explanation is that the high concentration of polymer might have caused insufficient mixing due to the difference in the viscosity of the two components and thus leads to less efficient crosslinking. Piskounova et al.28 identified that factors such as polymer molecular mass, concentration, crosslinking density, polymer mixing, and curing time, all affected the structural and mechanical properties of chemically crosslinked hydrogels. In their work, insufficient mixing gave rise to incompletely crosslinked gels with a lower modulus than that found for the same gel system with complete mixing. Scattering from the Gel–Particle Composite The nano-HAP particles were well dispersed in the HAA component prior crosslinking due to the high viscosity of the HAA solution. These particles sediment in pure solvent and low viscosity solutions such as that of the PVAH due to gravity. The motion through HAA solution is much slower due to the high viscosity of the entangled, long polymer chains. This mobility of the particles in the gel is hindered by the rapid crosslinking reaction between the HAA and PVAH that form a stable 3D gel network. Experiments were made to determine the structures formed by the particles in the gels but the form factor for single particles could not be determined by SANS, as it is not possible to disperse the bare particles in pure water. The introduction of nano-HAP particles, which have a SLD in the range 4.19 # 10"6 to 4.51 # 10"6 Å"2 depending on the WWW.MATERIALSVIEWS.COM FULL PAPER hydrogen–deuterium exchange, changed completely the scattering from the gel. The nano-HAP scatters much more than the pure gel; a comparison between the integral of the intensity after a background correction in absolute units indicated that the HAA-PVAH gel contributed about 1000 times less to the total intensity than the nano-HAP particles. The scattering from the polymer matrix is therefore no longer significant. As it is difficult to match exactly the scattering contrast of the particles, it was not possible to determine how the local structure of the gel is perturbed by the particles. Gel samples that contained 5–20 wt % nano-HAP were measured in solvents that matched the polymer matrix (SLD of 2.23 # 10"6 Å"2), i.e., far from the nano-HAP matching point. These data are shown in Figure 8, and the various concentrations differ only in the intensity while the shapes of the curves are similar. The shape of these curves suggests that there are aggregates of small particles. At large Q, the shape and size of the individual particles is dominant while at low Q, the aggregate structure determines the scattering. The particles have been characterized by Hu et al.,17 and they have identified dense crystals with mean radii of about 100 Å that when observed in an electron microscope were anisotropic. The scattering can be modeled as aggregates of disk-like particles, i.e., cylinders with a length that is shorter than the diameter. These models, made with the SASFit38 program, include instrumental resolution are shown in Figures 8 and 9. The radius of the cylinder was 100 6 10 Å, and the height was 30 6 4 Å with about 20% polydispersity for all measured contrasts and concentrations. The overall size of the aggregates is not determined precisely from the data that extend only to a lowest Q of about 10"3 Å"1. A lower limit for the cluster size is about 1000 Å. The fit has used a model with a fractal aggregate structure55 although only a limited range of the data falls within a fractal region. The slope of the plot and hence the fractal FIGURE 8 SANS data for 15 mg mL"1 hydrogel samples incorporating 5 (n), 10 (*), and 20 wt % nano-HAP (~). The fit with a model of aggregated particles is shown. Samples are measured in solvent matched to the SLD of the gel matrix. JOURNAL OF POLYMER SCIENCE, PART B: POLYMER PHYSICS 2013, 51, 421–429 427 FULL PAPER WWW.POLYMERPHYSICS.ORG JOURNAL OF POLYMER SCIENCE CONCLUSIONS In this article, we measured hydrogels and hydrogel composites using SANS. The information drawn from the scattering data is related to the physical properties and possible applications of these gels. Several models have been compared and discussed to provide an understanding of a previously poorly characterized, inhomogeneous in situ crosslinked hydrogel. The SANS technique was applied to determine the organization of the polymers in gels. Gels with three different concentrations could all be pictured as densely linked clusters that are separated by less dense regions with two clearly defined length scales. The correlation lengths in the gels change with concentrations. These changes are correlated with the rheological behavior of the gels. In particular, the requirements for adequate mixing during preparation in order to achieve full strength are understood from these new results. FIGURE 9 SANS data for the 15 mg mL"1 hydrogel with 5% nano-HAP in different solvent contrasts of SLD: 2.23 (n), 3 (~), 4.19 (D), 5 (*), and 6.35 (^) #10"6 Å"2. The contrasts are scaled with a factor of 1, 10, 100, 1000 and 10000 respectively, for better visibility. dimension is approximate. The fitted value lies in the range from 2.3–2.8. To obtain better estimates of the size of the aggregates would need measurements in the very low Q region. Static light scattering is commonly applied to overcome this problem but is not possible for these samples due to their opacity that gives rise to strong multiple scattering. Cryoscanning/transmission electron microscopy techniques on the gel composite system is also not suitable as the particles and dispersion are fragile and the freezing can alter the structure in the samples. Although the possible measurements and interpretation of scattering data are limited, interesting observations can be made: the dimensions of the single particles are larger than the smaller correlation length in the pure gel. The lower limit of the size of the aggregates is in the same range as the larger correlation lengths for the pure gel. This suggests that the particles, either singly or as aggregates, are distributed around the crosslinks and not only in the voids in between crosslinks. The apparent differences in shape of the curves measured in D2O/H2O-mixture with scattering length density close to the nano-HAP arise from the different contributions of background (Fig. 9). As shown in Figure 8, gel samples that contained 5–20 wt % nano-HAP can be superimposed by a scaling according to the concentration of particles. This suggests that the overall aggregation of particles in the matrix is not concentration dependent. The results are interesting when related to applications. For example, studies have shown that higher nanoHAP content in a composites were more favorable for ectopic bone formation.56 Our results suggest that for this application it is not a changed structure of the nano-HAP aggregate but an increased amount of nano-HAP that alters the bone formation. 428 JOURNAL OF POLYMER SCIENCE, PART B: POLYMER PHYSICS 2013, 51, 421–429 The distribution of nanoparticles in crosslinked hydrogels was also studied and the structure was interpreted as populations of fractal aggregates of cylindrical particles. The particle distribution and arrangement are independent of their concentration. Although an increased concentration is favorable for ectopic bone formation, this is not a consequence of a structural change in the arrangement of the particles but rather depends on the amount of material introduced to the wounded site. ACKNOWLEDGMENTS The authors thank the Institut Laue Langevin for providing beam time and the PSCM facilities. 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