Introduction

Biomimetic synthesis of CaCO3 crystals in the presence of organic templates has been intensively studied.1, 2 Most researchers’ interests lie in understanding how organized inorganic materials with complex morphological forms can be produced through a biomineralization process and how such complexity can be reproducibly synthesized in biomimetic systems.2 Construction of organic–inorganic hybrid materials with controlled mineralization is interesting for both organic and inorganic chemists because they want to understand the mechanism behind the natural biomineralization process, as well as seek industrial and technological applications.3, 4, 5, 6 The major inorganic material produced in natural organisms is calcium carbonate. Calcium carbonate is an attractive model mineral for studies in the laboratory because its crystals are easily characterized and the morphology of CaCO3 has been the subject to be controlled in biomineralization processes.7, 8

Most efforts toward CaCO3 mineralization have focused on the influence of specific additives and/or templates on the formation of CaCO3, as well as the kinetics and mechanisms of the subsequent phase transformation and morphology control. However, few studies have been applied specifically to binding kinetics and the mechanisms of polyelectrolyte–Ca2+ complexes as they have been to the mineralization process of CaCO3. Therefore, studying the effects of the kinetics and mechanisms of the interaction between a polymer and Ca2+ on the crystallization process of CaCO3 would provide an opportunity to gain a fundamental understanding of the biomineralization process. Recently, we introduced a new, simple method called a ‘carbonate controlled-addition method’ that uses poly(acrylic acid) (PAA). In this method, carbonate ions were added to a PAA–CaCl2 aqueous solution at different time periods.9, 10 The nucleation and mineralization of CaCO3 were mediated by the coordination structures of PAA and Ca2+ complexes. Stable amorphous calcium carbonate (ACC) composite particles with size-controlled monodispersed spheres were obtained by this simple method. The average particle size of the ACC spheres increased from (1.8±0.4) × 102 to (5.5±1.2) × 102 nm with an increase in the incubation time of the PAA–CaCl2 solution from 3 min to 24 h, respectively. We demonstrated that the interaction and reaction kinetics of PAA–Ca2+ complexes have an important role in particle size and in the stability of ACC products.

Crystallization of CaCO3 in the presence of various synthetic nonpeptide polymers has been investigated as a model of biomineralization.3, 4, 5, 6 For such synthetic linear polymers, it has been difficult to unambiguously assign a structure–function relationship in the context of their activity in crystallization assays because they mostly occur in a random-coil conformation. Dendrimers are monodispersed macromolecules with a regular and highly branched three-dimensional architecture.11 Because of unique and well-defined secondary structures of dendrimers, the starburst dendrimer should be a good candidate for studying inorganic crystallization. We previously showed that crystallization of CaCO3 in the presence of poly(amidoamine) (PAMAM) dendrimers with carboxylate groups at the external surfaces resulted in the formation of stable spherical vaterite crystals.12, 13 The vaterite surfaces were stabilized by carboxylate-terminated dendrimers in an aqueous solution to prevent phase transformation. Furthermore, as the generation number of PAMAM dendrimers increased from G1.5 to G3.5, the sizes of spherical vaterite particles decreased from 5.5±1.1 to 2.3±0.7 μm, which may be due to differences in the coordination ability of PAMAM dendrimers. These results suggest that anionic PAMAM dendrimers function as effective protective agents for the most unstable vaterite crystal in an aqueous solution.

In this study, we applied the ‘carbonate controlled-addition method’ with PAMAM dendrimers with carboxylate groups at the external surface (Scheme 1). We found that the particle sizes of the as-synthesized vaterite spheres can be controlled by changing the incubation time of the G0.5 PAMAM dendrimer (G0.5)–CaCl2 solution before the addition of carbonate ions. The minimum average particle size of the spheres, at 0.69±0.07 μm, significantly decreased with respect to our previous reports.12, 13 We also found that the stability of vaterite spheres increased with an increase in the incubation time of the G0.5–CaCl2 solution, even though the contents of the organic parts in the three products were almost the same. We studied the effects of the interaction and the reaction kinetics of the dendrimer with Ca2+ and H2O on the mineralization of CaCO3. This is a simple way to control the mineralization of CaCO3 by changing the incubation time of the dendrimer–CaCl2 complexation process (Figure 1).

Scheme 1
figure 1

Half-generation poly(amidoamine) (G0.5 and G1.5 PAMAM) dendrimers.

Figure 1
figure 2

Schematic illustration of the carbonate controlled-addition method.

Experimental procedure

Materials

Carboxylic acid-terminated half-generation PAMAM (G0.5 and G1.5 PAMAM) dendrimers were prepared by hydrolysis of corresponding methyl ester-terminated PAMAM dendrimers, which were prepared according to the reported procedure.14, 15 Each half-generation dendrimer was purified by size-exclusion chromatography (LH-20) using a methanol eluent. The 1H nuclear magnetic resonance analyses of the G0.5 and G1.5 PAMAM dendrimers were identical to those obtained from Aldrich. Calcium chloride and ammonium carbonate were purchased from WAKO Pure Chemical Industries, Ltd (Osaka, Japan).

Measurements

X-ray diffraction patterns were recorded on a Rigaku Mini Flex/AW (Rigaku, Akishima, Japan) with CuKα radiation (λ=1.5406 Å) in θ/2θ mode at room temperature. The 2θ scan data were collected with a 0.01° interval and a scan speed of 1° (2θ) min−1. Fourier transform infrared (FT-IR) spectra were recorded with a JASCO FT/IR-4100 spectrometer (JASCO, Tokyo, Japan) with a KBr pellet. Morphologies of the CaCO3 particles were observed using scanning electron microscopy (SEM) of KEYENCE EV-800 (KEYENCE, Osaka, Japan) at 10 kV. Thermogravimetric analysis (TGA) was measured on a TG/DTA 6200 (SEIKO Instruments, Inc., Chiba, Japan) to a temperature of 900 °C at a heating rate of 10 °C/min in air.

Precipitation of CaCO3

Standard preparation of the precipitation of CaCO3 was carried out as follows. First, a stock aqueous solution of the G0.5 PAMAM dendrimer (1 mM) was prepared in distilled water, and the pH value was adjusted to 11 using a dilute aqueous solution of NaOH. Then, 2.5 ml of a 0.1 M CaCl2 aqueous solution (adjusted to pH 8.5 with aqueous NH3) was added dropwise at a rate of 1 ml min−1 to a 45 ml aqueous solution of the G0.5 PAMAM dendrimer under gentle stirring at 30 °C under N2. After mixing the reaction solution during a different time period from 3 min to 24 h, 2.5 ml of a 0.1 M (NH4)2CO3 aqueous solution (adjusted to pH 10.0 with aqueous NH3) was added dropwise at a rate of 1 ml min−1 into the reaction solution under N2. This solution was stored at 30 °C for 1 day with gentle stirring. The precipitated CaCO3 product was collected using a 0.2-μm-pore-sized membrane filter and washed with water several times. It was then dried at room temperature under reduced pressure.

Results and discussion

Effect of the incubation time of the G0.5 PAMAM dendrimer–CaCl2 solution on the formation of calcium carbonate particles

The G0.5 PAMAM dendrimer (G0.5) was used to study the influence of the incubation time of the dendrimer–CaCl2 solution on the formation of calcium carbonate particles. A CaCl2 aqueous solution (adjusted to pH 8.5 with aqueous NH3) was added to an aqueous solution of G0.5 (adjusted to pH 11 with aqueous NaOH) and stirred at 30 °C. No turbidity of the solution was observed before the addition of ammonium carbonate, even after incubation for 24 h. After an aqueous ammonium carbonate solution was added to the reaction mixture at different time periods (from 3 min to 24 h), the solution became turbid. The reaction mixtures were stored at 30 °C for 1 day, and the products were collected. The CaCO3 crystal phases of the obtained products were characterized by FT-IR analysis (Figure 2). Both products obtained from the incubation time of 1 and 24 h showed two bands at 877 and 745 cm−1 by FT-IR, indicating vaterite formation. The products obtained from the incubation time of 3 min showed that the bands at 874 and 712 cm−1 assignable to calcite coexisted with vaterite.16, 17 The crystal phases of the obtained CaCO3 products were confirmed by X-ray diffraction analysis (Figure 3). The products obtained from the incubation time of 1 and 24 h consisted entirely of vaterite (>99%). The fraction of calcite in the crystalline phase of the product obtained from the incubation time of 3 min was 36%, as determined by Rao's equation.18

Figure 2
figure 3

FT-IR spectra of calcium carbonate particles with G0.5 by the carbonate controlled-addition method at different incubation times of (a) 3 min, (b) 1 h and (c) 24 h.

Figure 3
figure 4

Comparison of X-ray diffraction (XRD) patterns of the calcium carbonate particles with G0.5 by the carbonate controlled-addition method at different incubation times of (a) 3 min, (b) 1 h and (c) 24 h. The XRD pattern characteristics for calcite are a d-spacing/2θ peak of 3.04 Å/29.4° corresponding to hkl 104. For vaterite, they are d-spacing/2θ peaks at 3.58 Å/24.9°, 3.3 Å/27° and 2.73 Å/32.8°, corresponding to hkl 110, 111 and 112, respectively.

SEM observations show that all the obtained products are spherical particles (Figure 4). The average particle sizes of the spheres decreased from 2.2±0.2 to 0.61±0.24 μm with an increase in the incubation time of the G0.5–CaCl2 solution from 3 min to 24 h, respectively. These results indicate that the particle sizes of the spheres were controlled simply by changing the incubation time of the aqueous carbonate reagent in the G0.5–CaCl2 solution. The present results demonstrate that the interaction and reaction kinetics of the G0.5–Ca2+ complex have an important role in the controlled morphology of spherical CaCO3 particles.

Figure 4
figure 5

SEM images of the products by the addition of (NH4)2CO3 after incubating the G0.5–CaCl2 solution for (a) 3 min, (b) 1 h and (c) 24 h.

The compositions of the spheres were estimated by TGA (Figure 5). The results are summarized in Table 1. The samples were dried under a reduced pressure at room temperature for more than 3 days to remove physically adsorbed water from the surfaces of the particles. The TGA analysis showed that the content of H2O in the particles decreased from 2.8 to 1.9 wt % on an increase in the incubation time of the G0.5–CaCl2 solution. The weight loss in the temperature range between 500 and 700 °C is 43–44%, which is in reasonable agreement with the theoretical loss of 44 wt %, which is attributed to the decomposition of CaCO3 into CaO. Thus, the amount of residue at 500 °C was estimated as the contents of CaCO3 in the obtained samples. Weight loss at 200–500 °C was due to the decomposition of the organic parts of the products. The contents of the organic parts in the three products were almost constant at around 4 wt %.

Figure 5
figure 6

TGA thermographs of the calcium carbonate particles with G0.5 by the carbonate controlled-addition method at different incubation times of (a) 3 min, (b) 60 min and (c) 24 h.

Table 1 Effect of the incubation times of the G0.5–CaCl3 solution on mineralization of CaCO3a

Vaterite is thermodynamically most unstable in the three crystal structures. It is well known that vaterite transforms into thermodynamically stable calcite through a solvent-mediated process.19 We checked the phase transformation of the vaterite particles in an aqueous solution at a longer incubation at 30 °C. The results are summarized in Table 2. When the products were continuously kept in the reaction mixtures for 3 days, the CaCO3 phase of the precipitates obtained after incubating the G0.5–CaCl2 solution for 3 min and 1 h was calcite. However, the product after incubating for 24 h was vaterite. The average particle size of the spheres was 0.69±0.07 μm, which was almost the same as that of the particles isolated after 1 day of incubation. This result indicates that the vaterite surfaces obtained after incubating for 24 h were stabilized by the carboxylate-terminated dendrimer, which prevented phase transformation. In the case of the vaterite particles obtained from the shorter incubation time, the binding strength between G0.5 and the surfaces of the vaterite particles was not strong enough to prevent phase transformation into calcite.

Table 2 Long-term stability of the obtained CaCO3 particles incubated in the reaction solution for 3 daysa

The morphologies of both the obtained calcite particles were not typical rhombohedral crystals but ellipsoid shapes (Figure 6). The average particle sizes of the spheres decreased from 2.9±0.3 to 2.0±0.2 μm by increasing the incubation time of the G0.5–CaCl2 solution from 3 min to 1 h, respectively. The TGA analysis indicated that the content of the organic moieties in the product of sample number 5 in Table 2 was 4.5 wt %. These results suggest that the dendrimer-vaterite particles were transformed into calcite particles with the dendrimer.

Figure 6
figure 7

SEM images of products incubated in the reaction solution for 3 days by the addition of (NH4)2CO3 after incubating the G0.5–CaCl2 solution for 3 min.

The stabilities of the isolated and dried vaterite particles were evaluated in fresh water. The crystal products incubated in the aqueous solution for 1 day were filtered and washed with water three times. Thereafter, the isolated crystals were placed in fresh water for further incubation for 7 days at room temperature. All the products obtained from incubation times of 3 min, 1 h and 24 h were vaterite, as determined by FT-IR analysis. Current results indicate that the isolated and dried vaterite particles modified with the dendrimer exhibited a strong stabilizing effect that prevented phase transformation.

Effect of the generation number of dendrimers

Precipitation of CaCO3 in the presence of the G1.5 PAMAM dendrimer (G1.5) was also carried out under the same conditions. The results are summarized in Table 3. The products obtained with G1.5 after incubating the dendrimer–CaCl2 solution for 3 min and 1 h showed two bands at 877 and 745 cm−1 by FT-IR, indicating vaterite formation (Figures 7a and b). The FT-IR analysis indicates that the crystal product obtained after incubating for 24 h was a mixture of vaterite and calcite (Figure 7c). The SEM analysis of the products obtained from the incubation times of 3 min and 1 h shows spherical particles (Supplementary Figures S2a and b). The average particle sizes of the two spheres are almost the same. The SEM analysis of the product obtained after incubating for 24 h shows two morphologies, spherical and dumbbell-shaped microparticles (Figure 8). The size of the latter was 0.5±0.1 μm in diameter and 1.4±0.3 μm in length. The average particle size of the spheres was 1.1±0.1 μm. The average particle size of spheres decreased with an increasing incubation time of 1–24 h.

Table 3 Effect of the incubation times of the G1.5–CaCl3 solution on mineralization of CaCO3a
Figure 7
figure 8

FT-IR spectra of calcium carbonate particles with G1.5 by the carbonate controlled-addition method at different incubation times of (a) 3 min, (b) 1 h and (c) 24 h.

Figure 8
figure 9

SEM images of the products by the addition of (NH4)2CO3 after incubating the G1.5-CaCl2 solution for 24 h.

Crystal formation mechanism

SEM images of the interior of cracked vaterite particles obtained after incubating for 1 h using G0.5 (sample number 2 of Table 1) are shown in Figure 9. The characteristic radiating features were observed in the crystals, which were formed by a spherulitic growth mechanism.20 In this growth process, the mixing of Ca2+ and carbonate ions results in the formation of amorphous CaCO3, which transforms within minutes to produce crystalline vaterite. Previously, we found that similar vaterite particles, which were formed by the spherulitic growth mechanism, were obtained by delaying the addition of PAA.21 It was assumed that PAA was mostly adsorbed on the surfaces of the final vaterite particles. In that system, the initially formed amorphous precursors might grow and transform into larger-sized vaterite particles before the addition of PAA. Thus, we assumed that the dendrimer was mostly adsorbed on the surfaces of the final vaterite particles in the present carbonate controlled-addition method.

Figure 9
figure 10

SEM image in the interior of the cracked open vaterite particles (white arrow) of sample number 2 in Table 1.

The so-called ‘Eigen mechanism’ of a metal ion complex formation reaction proposes the rate-determining step to be the loss of water from a primary coordination sphere of a metal ion after the metal ion has formed an outer sphere complex (or solvent-separated ion pair) with an incoming ligand.22 The complexation of poly(amino carboxylate) ligands such as EDTA, EGTA and CDTA with Ca2+ ions has been found to involve rapidly formed intermediates that convert slowly into final products.23 The conversion of intermediates into final complexes involves a process of simultaneously stripping several water molecules from the first-coordination spheres of the Ca2+ ions. The effect of replacement of an acetate group by a propionate group such as the half-generation PAMAM dendrimers results in a decrease in affinity of the ligand for metal ions.24

The precipitation of CaCO3 in the presence of EDTA was carried out under the same conditions as Table 1. Although a small amount of calcite particles (yield 23%) was obtained when an EDTA–Ca2+ complex was incubated for 3 min, no CaCO3 was observed when the EDTA–Ca2+ complex was incubated for 1 h or 24 h. The stable EDTA–Ca2+ complex in the final state may inhibit the formation of CaCO3 because no Ca2+ ions dissociate during the crystallization process after the addition of carbonate ions.

A CaCO3 particle formation mechanism with dendrimers is proposed as follows (Figure 10): In the early stage of the G0.5–Ca2+ complexation process, the G0.5–Ca2+ complex in the intermediate state might be predominantly formed. The intermediate form would tend to dissociate during the crystallization process after the addition of carbonate ions. The initially formed amorphous CaCO3 might grow and transform into larger-sized vaterite particles before readsorption of G0.5 on the surfaces of calcium carbonate particles, which prevents aggregation of the amorphous CaCO3. The G0.5–Ca2+ complex in the intermediate form may convert into the final complex with an increase in incubation time. The stability of the final complex is considerably higher than that of the intermediate complex. Therefore, the G0.5–Ca2+ complex in the final state would tend to retain its form during the crystallization process, which may inhibit the growth of the initially formed amorphous CaCO3 just after the addition of carbonate ions.

Figure 10
figure 11

Schematic depiction of the formation of the CaCO3 spherulites and the transformation from the amorphous phase to vaterite. Yellow and gray spheres designate amorphous CaCO3 and vaterite, respectively. Red circles indicate adsorbed G0.5 on the surfaces of CaCO3. A full color version of this figure is available at Polymer Journal online.

The number of calcium ions on anionic PAMAM dendrimers is considerably higher for the later generation than for the early generation because of increased interior nitrogen moieties under the same –COONa concentration.25 The stable G1.5–Ca2+ complex in the final state may inhibit stabilization of the resulting surface of vaterite particles. Therefore, the crystal product obtained from the incubation of the G1.5–Ca2+ complex for 24 h was a mixture of vaterite and calcite.

Conclusions

In this study, we demonstrated that the interaction and reaction kinetics of the Ca2+ complex of the PAMAM dendrimer with carboxylate groups at the external surface have an important role in controlling the particle size and stabilization of CaCO3 when using the ‘carbonate controlled-addition method’. An aqueous ammonium carbonate solution was added at different time periods (3 min, 1 h or 24 h) to an aqueous solution of G0.5 PAMAM dendrimer and CaCl2, and the reaction mixtures were maintained at 30 °C for 1 day. Both crystal phases of the products obtained after incubating the dendrimer–CaCl2 solution for 1 and 24 h consisted entirely of vaterite. Incubating the G0.5–CaCl2 solution for 3 min produced vaterite particles that coexisted with calcite. The average particle sizes of the spheres decreased from 2.2±0.2 to 0.61±0.24 μm with an increase in the incubation time of the G0.5–CaCl2 solution from 3 min to 24 h.

We also found that the stability of vaterite spheres increased with an increase in the incubation time of the G0.5–CaCl2 solution. Even the contents of the organic parts in the three products were almost the same at around 4 wt %. When the products were continuously kept in the reaction mixtures for 3 days, the CaCO3 phase of the obtained precipitates from the addition of (NH4)2CO3 after incubating the G0.5–CaCl2 solution for 3 min and 1 h was calcite. However, the product after incubating for 24 h was vaterite. In the case of the vaterite particles from the shorter incubation times of the G0.5–CaCl2 solution, the binding strength between the dendrimer and the surfaces of the vaterite particles was not strong enough to prevent phase transformation of vaterite into calcite. Our results indicate that the interaction and reaction kinetics of the dendrimer–Ca2+ complex have an important role in the mineralization of CaCO3.

Electronic supporting information available: Supplementary Figures S1 and S2 (see Supplementary Information). These materials are available via the Internet at http://www.spsj.or.jp/c5/pj/pj.htm