Amorphous Calcium Phosphate Formation and Aggregation Process Revealed by Light Scattering Techniques

Amorphous calcium phosphate (ACP) attracts attention as a precursor of crystalline calcium phosphates (CaPs) formation in vitro and in vivo as well as due to its excellent biological properties. Its formation can be considered to be an aggregation process. Although aggregation of ACP is of interest for both gaining a fundamental understanding of biominerals formation and in the synthesis of novel materials, it has still not been investigated in detail. In this work, the ACP aggregation was followed by two widely applied techniques suitable for following nanoparticles aggregation in general: dynamic light scattering (DLS) and laser diffraction (LD). In addition, the ACP formation was followed by potentiometric measurements and formed precipitates were characterized by Fourier transform infrared spectroscopy (FTIR), powder X-ray diffraction (PXRD), transmission electron microscopy (TEM), and atomic force microscopy (AFM). The results showed that aggregation of ACP particles is a process which from the earliest stages simultaneously takes place at wide length scales, from nanometers to micrometers, leading to a highly polydisperse precipitation system, with polydispersity and vol. % of larger aggregates increasing with concentration. Obtained results provide insight into developing a way of regulating ACP and consequently CaP formation by controlling aggregation on the scale of interest.


Introduction
Biomineralization, the process of hard tissue formation in living organisms, continues to be a source of inspiration for materials scientists.The inspiration derives from the fact that biominerals have excellent properties, which to a great degree are still not matched by any man-made materials.In addition, they are formed in an economical way at low temperatures and pressures, thereby inspiring novel routes of green synthesis [1].The picture that has emerged in recent years is that the superior properties of biological materials could be a consequence of them being amorphous or formed by amorphous mediated crystallization [2].Indeed, it is estimated that one fifth of all known biominerals are amorphous (materials with no discernible X-ray diffraction) [3].Among them, amorphous calcium phosphate (ACP) attracts special attention as it is a precursor in the formation of vertebrates' hard tissue [3][4][5][6][7][8].
In 1965, Posner and his colleagues proposed that ACP is the first solid phase formed during calcium phosphates (CaP) precipitation at conditions close to physiological [9,10], which led to the generally accepted opinion that ACP may have a similar precursor role in hard tissue formation in organisms.The search for ACP in vivo was spurred by Olstza and Gower's study [11], showing that in vitro, amorphous liquid-phase mineral precursors facilitate intrafibrillar mineralization of type-I collagen.Mahamid et al. [4] were first to identify ACP as the transient phase that acts as a precursor during the development of zebrafish fin rays.Later, ACP was also found in the caudal fin bone of larval zebra fish [5], enamel [6], trabecular bone [7], and during secondary ossification of mouse femur in the surroundings of hypertrophic chondrocyte [8].
The aggregation state of ACP is among the key factors determining its further transformation [2,28,29].Compared to aggregation of nanoparticles, aggregation of ACP is a more complex process that proceeds simultaneously at significantly different length scales.A method widely used for following the aggregation of nanoparticles is dynamic light scattering (DLS), due to the fact that representative statistics can be obtained since the number of particles analyzed is much larger than that observed by microscopy techniques [30][31][32].However, the drawback of DLS is that the intensity of light scattered from the particles is proportional to the sixth power of the particle radius.Therefore, the contribution of larger particles can be overestimated or the signal of smaller particles can be masked.
Several studies [22,[32][33][34][35] investigated ACP formation by DLS.The influence of osteopontin [32] and polyaspartic acid (pAsp) [33] on ACP aggregation was also investigated by DLS.The results have shown a steady increase in ACP particles' Z-average or r h values with time and large scattering of measured values.However, only in the studies by Wang et al. [35] and Habraken et al. [22] was it shown that populations of particles with different sizes existed.
The aim of this study was to gain more insight into ACP aggregation processes with the application of DLS and for the first time, to the best of our knowledge, of laser diffraction particle size measurement (LD), techniques that enable the aggregation of particles from nano-to micrometer scales to be followed.According to our previous studies, two systems of different initial reactant supersaturations were chosen, which were assumed to be optimal for both ACP precipitation and DLS and LD measurements [36,37].In addition, two modes of stirring were employed, specifically no stirring for DLS measurements and mechanical stirring for LD measurements.
CaCl 2 •2H 2 O and Na 2 HPO 4 stock solutions were prepared by weighing chemicals which were dried overnight in a desiccator over silica gel.The pH of sodium hydrogenphosphate stock solution was adjusted to 7.4 by using HCl.

Preparation of Precipitation Systems
Two precipitation systems with different initial reactant concentrations were investigated: system A with c(CaCl 2 •2H 2 O) = c(Na 2 HPO 4 ) = 3.5 mmol dm −3 and system B with c(CaCl 2 •2H 2 O) = c(Na 2 HPO 4 ) = 4 mmol dm −3 .In both systems initial pH was 7.4.Precipitation systems were prepared by fast mixing of equal volumes of equimolar CaCl 2 (cationic) and Na 2 HPO 4 (anionic) solutions.Reactant solutions were diluted from the respective stock solutions, and the pH of anionic solutions was readjusted if necessary.
For DLS measurements, an aliquot of 1 mL was taken immediately after mixing and transferred to the measuring cuvette.In a second aliquot, precipitation was followed by continuously monitoring pH changes (Methrom 701 pH/ion meter).For LD measurements, the precipitation system was prepared directly in a wet dispersion unit and mechanically stirred.The reaction was also followed by simultaneously monitoring pH changes within the dispersion unit.All measurements were conducted at temperature (ϑ) 25.0 ± 0.1 • C. Based on obtained pH curves, induction times for ACP transformation were determined.Samples for further analysis were taken at 10 and 30 min for mechanically stirred and non-stirred precipitation systems, respectively.

Fourier Transform Infrared Spectroscopy (FTIR)
To confirm the formation of ACP, precipitates were isolated by filtering through a 0.22 µm membrane filter after 10 and 30 min ageing time for stirred and non-stirred systems, respectively.Obtained precipitates were washed three times with Milli-Q water and ethanol, dried in a stream of nitrogen, and kept at 4 • C until further analysis.FTIR spectra were recorded on a FTIR spectrometer equipped with an attenuated total reflection module (Tensor II, Bruker, Ettlingen, Germany, 4000-400 cm −1 ), with a resolution of 2 cm −1 .The recorded spectra are the average of 32 scans.

Powder X-ray Diffraction (PXRD)
For powder XRD characterization, samples were prepared as for FTIR analysis.Powder XRD patterns were obtained by means of Rigaku Ultima IV diffractometer in Bragg-Brentano geometry diffractometer using CuKα radiation and 5 • Soller slits.XRD patterns were scanned in 0.02 • steps (2θ) in the 2θ range from 3.25 • to 60 • with a scan speed of 1 • (2θ) min −1 .The baselines of powder XRD patterns were corrected and patterns smoothed using a 15-point Savitzky-Golay algorithm.

Atomic Force Microscopy (AFM)
The samples for AFM imaging were prepared by the drop deposition method, taken after predetermined time periods, on freshly cleaved mica.After a 1 min incubation period, the surfaces were washed two times with Milli-Q water and once with ethanol to remove the excess water and left to dry.The morphology was determined using a MultiMode probe microscope with a NanoScope IIIa controller and a "J" scanner with a vertical engagement (JV) of 125 µm (Bruker, Billerica, MA, USA).Tapping mode imaging was performed under ambient conditions in air using a silicon nitride tip (TESP, Bruker, nom.freq.320 kHz, nom.spring constant 42 N m −1 ).The linear scanning rate was optimized between 1.0 and 1.5 Hz at a scan angle of 0 • .Images were processed and analyzed by means of offline AFM NanoScope analysis software, version 1.7.

Transmission Electron Microscopy (TEM)
Transmission electron microscopy images were obtained using a Zeiss TEM EM10A (Carl Zeiss, Jena, Germany) operated at 80 kV.For TEM/SAED analysis, a drop of the suspension was placed on a copper grid covered with a Formvar membrane.Excess solution was removed by filter paper and the precipitate was washed three times with a drop of Milli-Q water.After removing excess water, the samples were dried in a stream of nitrogen and kept at 4 • C until further analysis.The sizes of ACP particles from TEM micrographs were determined by means of the image analysis program ImageJ 1.48v (freely available at http://imagejnih.gov/ij/).At least 20 particles were measured, except for the precipitate obtained in system B without stirring, where particles could not be individually quantified due to the morphology of the precipitate.

Dynamic Light Scattering
The size distribution of CaP particles was determined by means of dynamic light scattering using a photon correlation spectrophotometer equipped with a 532 nm "green" laser (Zetasizer Nano ZS, Malvern Instruments, Worcestershire, UK).The intensity of scattered light was detected at the angle of 173 • .To avoid overestimation arising from the scattering of larger particles, the hydrodynamic diameter (d h ) was obtained as a value at peak maximum of the size volume distribution function.Two modes of measurement were used: (a) time-averaged measurements, in which measurements were average of 12 runs each lasting around 10 s, and (b) time-resolved measurements in which the results were obtained from a single measurement lasting about 11 s.Each sample was measured five times, and representative data are shown.Data processing was carried out using Zetasizer Software 6.32 (Malvern Instrument Worcestershire, UK).All measurements were conducted at 25.0 ± 0.1 • C.

Laser Diffraction Particle Size Analyzer
The size distribution of CaP particles was determined by means of laser diffraction particle size analyzer Mastersizer 3000 equipped with a "red" He-Ne laser (632.8 nm) and a blue LED source (470 nm).The intensity of scattered light was detected in the angular range 0.015 • -144 • .Hydro EV wet dispersion unit (Malvern Instruments) was used for precipitation of ACP.The dispersion unit was equipped with a mechanical stirrer, and stirring was performed at 2000 rpm.Three measurements were performed per sample, and representative data are shown.The dispersion unit was drained and rinsed with diluted HCl and Milli-Q water after each measurement.Background detector intensities were checked to ensure cleanliness of the sample compartment.For data processing, Malvern Mastersizer software version 3.62 was used.

Results and Discussion
During the CaP precipitation, pH of suspension changes reflecting different stages of CaP formation and transformation [23,38,39].Therefore, the progress of precipitation can be followed, at least semi-quantitatively, by monitoring the pH changes in precipitation systems.In Figure 1, pH curves obtained in system A and B at conditions corresponding to DLS and LD measurements, without and with mechanical stirring, respectively, are shown.Curves obtained in systems without stirring show typical sigmoidal shape reflecting three stages of the precipitation process [23,38,40]: (1) Initial slight pH decrease associated with the formation of ACP, during which the changes in pH and calcium concentrations are small or absent; (2) An abrupt decrease in pH associated with the secondary precipitation of crystalline phase upon ACP; (3) Final slight pH change associated with solution-mediated growth and phase transformation.
In the systems that were mechanically stirred, an additional initial stage was observed in which a significant decrease of pH was observed, pointing to a possible difference in the mechanisms of ACP formation in stirred systems.The different rates of pH changes in the stages of ACP (1) and crystalline formation (2) enables determination of the induction time (t i ), from intersection of the tangents drawn on these two sections of pH curve.As expected, values of induction times for nucleation of the crystalline phase are shorter for a system with higher initial reactant concentration, as well as for mechanically stirred systems (Figure 1, Table 1).

ACP Formation Followed by Dynamic Light Scattering
After 30 minutes of reaction time, ACP was formed in both precipitation systems, as confirmed by FTIR spectra and PXRD diffractograms (Figure 2a and b).FTIR spectra of both samples contained only phosphate and water bands characteristic for ACP [41]: asymmetric stretching mode of PO 3 4 − at 1063 cm −1 , HPO 2 4 − band at 875 cm −1 , and bending mode of PO 3 4 − at 567 cm −1 were observed, as well as a broad band between 3700-2600 cm −1 and band at 1656 cm −1 characteristic for water.Formation of ACP was confirmed by the absence of splitting of the phosphate bands corresponding to asymmetric stretching and bending mode [41,42].In PXRD only broad amorphous maximum in the 20°-37° 2 region characteristic of ACP was observed [42].AFM characterization showed that in both precipitation systems, spherical single particles were formed with distinct average heights of (2.8 ± 1.3) nm and (1.4 ± 0.8) nm and diameters (62 ± 27) nm and (56 ± 32) nm for system A and B, respectively (Figure 2c,d, Figure S1, Table S1).TEM micrographs revealed the difference between two precipitation systems.Thus, in system A, chain-like aggregates of spherical particles typical of ACP [21,23,37,38] were observed.The average diameter of spherical particles was 85 ± 12 nm (Figures 2e  and S4).In system B, a small number of small, spherical ACP particles and dense precipitate were observed (Figure 2f), indicating morphology evolution of ACP prior to its transformation [29,43].In both systems, obtained selected area diffractions (SAED, inset Figure 2e,f) were characteristic for amorphous phase, confirming FTIR and PXRD results.AFM and TEM micrographs indicate that the precipitation systems are highly dispersed and that small (nano) particles can be present at later stages of the precipitation process, in accordance with previous studies of ACP formation [38,44].

ACP Formation Followed by Dynamic Light Scattering
After 30 min of reaction time, ACP was formed in both precipitation systems, as confirmed by FTIR spectra and PXRD diffractograms (Figure 2a,b).FTIR spectra of both samples contained only phosphate and water bands characteristic for ACP [41]: asymmetric stretching mode of PO 3− 4 at 1063 cm −1 , HPO 2− 4 band at 875 cm −1 , and bending mode of PO 3− 4 at 567 cm −1 were observed, as well as a broad band between 3700-2600 cm −1 and band at 1656 cm −1 characteristic for water.Formation of ACP was confirmed by the absence of splitting of the phosphate bands corresponding to asymmetric stretching and bending mode [41,42].In PXRD only broad amorphous maximum in the 20 • -37 • 2θ region characteristic of ACP was observed [42].AFM characterization showed that in both precipitation systems, spherical single particles were formed with distinct average heights of (2.8 ± 1.3) nm and (1.4 ± 0.8) nm and diameters (62 ± 27) nm and (56 ± 32) nm for system A and B, respectively (Figure 2c,d, Figure S1, Table S1).TEM micrographs revealed the difference between two precipitation systems.Thus, in system A, chain-like aggregates of spherical particles typical of ACP [21,23,37,38] were observed.The average diameter of spherical particles was 85 ± 12 nm (Figure 2e and Figure S4).In system B, a small number of small, spherical ACP particles and dense precipitate were observed (Figure 2f), indicating morphology evolution of ACP prior to its transformation [29,43].In both systems, obtained selected area diffractions (SAED, inset Figure 2e,f) were characteristic for amorphous phase, confirming FTIR and PXRD results.AFM and TEM micrographs indicate that the precipitation systems are highly dispersed and that small (nano) particles can be present at later stages of the precipitation process, in accordance with previous studies of ACP formation [38,44].Although AFM and TEM can give reasonably accurate average dimensions, the number of analyzed particles is relatively low [30].DLS, on the other hand, enables representative statistics to be obtained since the number of analyzed particles is significantly higher.In addition, DLS enables in situ monitoring of the changes in particles' size without the need for sample manipulation as in Although AFM and TEM can give reasonably accurate average dimensions, the number of analyzed particles is relatively low [30].DLS, on the other hand, enables representative statistics to be obtained since the number of analyzed particles is significantly higher.In addition, DLS enables in situ monitoring of the changes in particles' size without the need for sample manipulation as in microscopy, making it the method of choice for studying nanoparticles aggregation as well as studying nucleation and growth of minerals at the nanoscale [32].
DLS measurements revealed pronounced difference between the two precipitation systems.In the time-averaged DLS measurement setup the trimodal and bimodal size distributions were observed in the systems A and B, respectively.From the earliest reaction time in system A, population of particles with d h in the range between 800 and 1300 nm was detected.After 10 min of the reaction time particles with d h between 2000 and 3000 nm and between 3500 and 5500 nm appeared, with their vol.% increasing with the time (Figure 3a).In system B (Figure 3b) in addition to the population of particles with d h in a range of 500-2400 nm, population of larger particles with d h in a range of 4000-5000 nm was observed, earlier than in system A. As in system A, the vol.% of larger particles increased with the time.With the aging, the sizes of smallest particles increased, which was more pronounced in system B.However, no trend in change of sizes of larger particles with time could be observed in either system, as the values were scattered.Comparing d h values obtained in DLS measurements with AFM and TEM results, it can be concluded that sizes of chain-like aggregates of spherical particles and dense precipitate obtained in precipitation system A and B, respectively, were measured.This is in accordance with previous work showing that sizes of individual spherical particles could be measured by DLS only when aggregation is suppressed, as for example in the presence of surfactants [38] or polyelectrolytes [33].
In previous studies, using a similar time averaged measurement setup, in different precipitation systems, only one population of particles was observed.Thus, Onuma et al. [34] have observed that in the absence of additional electrolyte the hydrodynamic radius of aggregates changes from 650 to 1000 nm.Due to fast reaction rates, the results were scattered.However, when the ionic strength increased by addition of 10 mM KCl, a sigmoidal growth of the hydrodynamic radius values was observed.De Bruyn et al. [32] used DLS to study the influence of osteopontin on hydroxyapatite formation.In the control experiment, they observed growth of particles' r h from 150 to 900 nm, with the rate of growth decreasing from 0.4 nm/s at the beginning of precipitation to 0.17 nm/s at the end of experiment.Wang et al. [35] have also observed an increase in Z-average values during ACP induction time up to 2000 nm.The scattering of the data increased with time, which was described as indicative of particle aggregation.In time-resolved measurement, they observed what they named a steady size distribution, i.e., dominant distribution present in all measurements at around 300-1000 nm.In addition, particles with larger sizes corresponding to larger aggregates, or smaller sizes corresponding to the fragments, which were likely formed in the collisions of larger particles, have been sporadically observed.Interestingly, these different DLS measurements indicate that in different experimental conditions dominant population of particles is the one with sizes in the range of 150-2000 nm.
In order to obtain more detailed information about the ACP aggregation process, time-resolved experiments were performed.In both systems, three populations of particles were observed (Figure 3c,d).The sizes of the smallest particles continuously increased from 300 to 1800 nm in precipitation system A and from 550 to 1900 nm in precipitation system B. Larger aggregates existed in small vol.% already at early stages of ACP formation in both precipitation systems.The scattering of the values increased with time and was larger in system B. In system A, the smallest particles were dominant almost until the commencement of ACP transformation (Figure 3e and Figure S6a).In system B, on the other hand, the smallest particles were dominant (i.e., their vol.% was the largest) up to 15 min reaction time.After 15 min, for a short time, particles of sizes in the range of 1750-4000 nm were dominant, after which the largest particles with sizes over 4000 nm become dominant and remained dominant until the induction time (Figure 3f and Figure S6b).In both systems, the size distribution of all populations was wide.The wide size distribution could be attributed to the chains containing different number of spherical particles, as well as their different shapes.The larger sizes of aggregates could be a consequence of either increasing number of spherical particles in chain-like structure or growth of already aggregated particles.The latter was proposed by Brečević et al. [21], but a decrease in size of spherical particles with the time was also observed [38].DLS results indicate that the highly polydisperse system exists from the earliest precipitation stages.In addition, with increasing concentration of precipitation system, scattering of the sizes and vol.% of larger aggregates increased, indicating more pronounced particle aggregation at higher reactant concentrations [35].
Crystals 2018, 8, x FOR PEER REVIEW 8 of 14 concentration of precipitation system, scattering of the sizes and vol.% of larger aggregates increased, indicating more pronounced particle aggregation at higher reactant concentrations [35].

ACP Formation followed by Laser Diffraction
Due to the experimental setup (no stirring) and a limit of maximum measurable sizes (6 m), DLS offers no information about aggregates larger than 6 m and of precipitated aggregates.Also, mechanical stirring offers better control of hydrodynamic conditions and consequently a more

ACP Formation Followed by Laser Diffraction
Due to the experimental setup (no stirring) and a limit of maximum measurable sizes (6 µm), DLS offers no information about aggregates larger than 6 µm and of precipitated aggregates.Also, mechanical stirring offers better control of hydrodynamic conditions and consequently a more uniform process of ACP formation.To the best of our knowledge, although LD has been used for the characterization of CaP particles [45], no attempt has been made to follow their formation in situ.
Similarly, to the non-agitated systems, after 10 min of reaction time, ACP was formed, as confirmed by FTIR spectra and PXRD diffractograms typical of ACP (Figure 4a,b).AFM micrographs of the respective samples point to higher extent of aggregation than in systems without mechanical stirring.In system A, small individual particles (Figure 4c and Figure S3a, Table S2), similar to the ones obtained in non-stirred precipitation systems, coexisted with larger aggregates.An example of observed aggregate is shown in Figure S2, with a height of 26 ± 12 nm and diameter of 600 ± 280 nm.On its surface, aggregated clusters of about 1 nm in height and 30 nm width were noticeable.In the proximity of bigger aggregate (Figure 4c, Figure S2b and S2c), individual nanoparticles were visualized.In system B aggregation was most advanced (Figure 4d and Figure S3b, Table S2), as most particles were larger than 100 nm in diameter.TEM micrographs (Figure 4e,f) revealed that in both mechanically stirred systems chain-like aggregates of spherical particles were formed, as in non-stirred system A. Average diameters of spherical particles formed in precipitation systems A and B were 85 ± 11 nm and 135 ± 26 nm, respectively.SAED confirmed that the obtained precipitates were amorphous.
Although particles of nanometer sizes can be measured with LD, in both precipitation systems, only particles with sizes from several micrometers to 1900 µm were observed (Figure 5).In both systems, the dominant population corresponded to the largest particles.While in system A, the size of the largest particles gradually increased from 1000 µm to 1400 µm (Figure 5a), in system B (Figure 5b), the size remained almost constant at around 1850 µm.In both systems, these distributions were very broad and interestingly their vol.% initially decreased and then increased with time (Figure 5c,d), which could indicate the possibility of the aggregates breaking apart and their subsequent reconstruction [35].In system A, two populations of smaller particles were noted (Figure 5a).Particles with sizes of around 15 µm, almost constant in size and in vol.%, were present from the beginning of the process.Conversely, particles with sizes of around 90 µm appeared at latter stages, and their size and vol.% increased slightly with time (Figure 5a,c).In the system B two populations of particles with sizes smaller than 20 µm were present from the beginning of the reaction, and their sizes slightly increased with time.The fourth population of particles, also present from the beginning of reaction in this system, exhibited growth from 98 to 143 µm (Figure 5b).
Although DLS and LD measurements cannot be directly compared due to the difference in experimental setup, LD measurements indicate that processes at the microscale are also dynamic and stochastic, resulting in a highly polydisperse system.Similar to DLS measurements, LD measurements revealed that, with increasing concentration precipitation, system becomes more polydisperse, and larger aggregates are formed, indicating more pronounced aggregation.However, despite the aggregation of ACP being a stochastic process, a large amount of evidence shows that kinetics of its formation and transformation, as well as properties of the formed crystalline phase, are reproducible [21,[23][24][25][26][27][32][33][34][35][36][37][38][39][40]43].
Habraken et al. have shown that polymerization, i.e., aggregation, of building blocks (ion-association complexes and post-nucleation clusters) is the first step in CaP crystal formation [22].A number of studies have confirmed that ACP formation continuous through aggregation of spherical particles to chain-like structures [21,35].Our DLS and LD results indicate that ACP formation, at least in part, proceeds by aggregation of chain-like structures at the later stages of process.

Conclusions
In order to follow the formation of ACP in the nanometer to micrometer scale at two different supersaturations, DLS and LD techniques for particle size determination were applied.Both techniques enable monitoring the formation of chain-like aggregates of spherical particles of different sizes or dense phase.Indeed, DLS measurements are on the scale of several hundred nanometers to several micrometers, while LD encompasses the scale of several micrometers to millimeters.When coupled with AFM and TEM measurements, DLS and LD results demonstrate that during formation of ACP a highly polydisperse precipitate forms, containing particles with sizes ranging from several nanometers to several millimeters.The polydispersity of the systems and amount of larger aggregates increased with reactant concentration.
However, based on DLS measurements, it seems that a stable population of particles with the sizes of several hundred nm in the earliest stages of precipitation exist.Unlike populations with sizes above 2000 nm in which sizes are scattered in time and no apparent trend of changes exist, these particles show continuous growth up to sizes of 2000 nm, the exact value depending on concentration, i.e. the larger concentration bigger the size.Interestingly, such a population of particles was observed in previous studies in different experimental conditions 14,32,35.This could indicate that these aggregates are the stable ones and that larger aggregates are formed through their collisions.Their stability decreases with concentration, reflected in larger scattering of dh values at latter stages of precipitation, possibly due to the higher frequency of collisions.Although in the LD experiments values of peak maxima are not as scattered as in DLS experiments, due to the large width of distributions it is hard to draw similar conclusion.

Conclusions
In order to follow the formation of ACP in the nanometer to micrometer scale at two different supersaturations, DLS and LD techniques for particle size determination were applied.Both techniques enable monitoring the formation of chain-like aggregates of spherical particles of different sizes or dense phase.Indeed, DLS measurements are on the scale of several hundred nanometers to several micrometers, while LD encompasses the scale of several micrometers to millimeters.When coupled with AFM and TEM measurements, DLS and LD results demonstrate that during formation of ACP a highly polydisperse precipitate forms, containing particles with sizes ranging from several nanometers to several millimeters.The polydispersity of the systems and amount of larger aggregates increased with reactant concentration.
However, based on DLS measurements, it seems that a stable population of particles with the sizes of several hundred nm in the earliest stages of precipitation exist.Unlike populations with sizes above 2000 nm in which sizes are scattered in time and no apparent trend of changes exist, these particles show continuous growth up to sizes of 2000 nm, the exact value depending on concentration, i.e., the larger concentration bigger the size.Interestingly, such a population of particles was observed in previous studies in different experimental conditions [14,32,35].This could indicate that these aggregates are the stable ones and that larger aggregates are formed through their collisions.Their stability decreases with concentration, reflected in larger scattering of d h values at latter stages of precipitation, possibly due to the higher frequency of collisions.Although in the LD experiments values of peak maxima are not as scattered as in DLS experiments, due to the large width of distributions it is hard to draw similar conclusion.