To test the carbonate precipitates for purity and yield, several instrumental techniques can be applied. The elemental composition (including major and minor components) can be determined either by inductively coupled plasma atomic emission spectroscopy (ICP-OES), by inductively coupled plasma mass spectrometry (ICP-MS) or atomic absorption spectroscopy (AAS) following acid digestion (in HCl), or by X-ray fluorescence spectroscopy (XRF) with the sample in powder or pellet form. XRF is less sensitive for minor components (<1 wt%). More details and examples are found in De Crom et al.6 These results will demonstrate if undesired impurities are present and will help determine, by mass balance, the efficiency of converting the calcium content of the original slag into PCC. The mineral composition is best determined by X-ray powder diffraction (XRD). The resulting diffractogram provides qualitative information about the presence of crystalline mineral phases. Quantification of the relative amounts is made by Rietveld refinement technique (with an accuracy of around ± 2-3 wt%). More details and examples can be found in Santos et al.38 These results will verify if the process conditions or impurities affect the crystallization process, generating additional undesired phases besides calcite (CaCO3). Particle size distribution (PSD) and mean particle diameter are best determined by wet (DI water) laser diffraction. More details and examples can be found in De Crom et al.6 These results are used to assess if the PCC meets the requirements of its intended application (i.e., papermaking), which usually specify an upper cut-off size and a span of distribution.
The elemental composition of the post-extraction leachate and post-carbonation products, as well as the XRD pattern and volume-based PSD of the post-carbonation precipitates, are presented in Figures 1 and 2. ICP-MS technique was used to measure the content (wt%) of certain metals (Ca, Mg, Al, and Si) in the composition of the leachate after the Ca extraction stage and before its carbonation. The use of analytical-grade acetic acid (2 M) as the leaching agent resulted in a Ca extraction of approximately 90% (Figure 1a). According to the results, an even higher extraction efficiency was detected for magnesium (almost 100%), another metal that can be efficiently carbonated but under more intensive conditions.
The behavior of silica and aluminum during the extraction stage was also investigated. To successfully produce alumino silicate-based zeolitic minerals through hydrothermal conversion, but also to avoid contamination of the synthesized PCC with undesired elements, both silica and aluminum should remain in the solid phase during the extraction process. According to the results, acetic acid exhibited a satisfactorily limited leaching of silica and aluminum, with almost 92% of silica and 62% of aluminum remaining unaffected during the leaching process (Figure 1b).
The carbonation of the purified leachate solution resulted in the production of PCC with desirable characteristics, as depicted in Figure 2. Based on the XRD diagram (Figure 2b), the mineral phase that was mainly synthesized was that of calcite (88.2 wt%), whereas small quantities of nesquehonite (Mg(HCO3)(OH)·2H2O; 3.2 wt%) and magnesian calcite (Ca1-0.85Mg0-0.15CO3; 2.8 wt%) were also present. From the PSD analysis of the material (Figure 2c), it became clear that the mean particle size was small and the particle size distribution was narrow.
In parallel with carbonation, the solid residues from the extraction stage were subjected to hydrothermal conversion. Characterization of the hydrothermally converted material, to verify the production of the zeolitic minerals and to assess the morphology, was conducted as follows. The elemental composition is most readily obtained by XRF. Trace-element determination requires acid digestion followed by ICP-OES, ICP-MS, or AAS, with the digestion carried out using sequential acid dissolution (HNO3-HF or HNO3-HClO4-HF) to dissolve the silica phase. While there is no specific elemental composition targeted for the converted material, this analysis helps clarify the mineral composition determined by XRD. XRD analysis, to determine mineral composition, the PSD and mean particle diameter were determined similarly to carbonate precipitates, as aforementioned. Specific surface area, pore volume, and mean pore diameter were determined by nitrogen adsorption, with the isotherms interpreted according to Brunauer-Emmett-Teller (BET) multi-point theory. Samples should be initially degassed under vacuum at 350 °C for 4 h. More details and examples can be found in Chiang et al.5
The Ca, Mg, Al, and Si content in the hydrothermally converted material, determined by using the ICP-OES technique, is shown in Figure 3a, whereas their mineralogical composition, determined from XRD patterns, is shown in Figure 3b. The mean particle size and size distribution, obtained from the PSD analysis, is shown in Figure 3c. The resulting material is mineralogically characterized by the presence of two main phases: analcime (NaAlSi2O6∙H2O) and tobermorite (Ca5(OH)2Si6O16∙4H2O). The existence of the latter in the converted extraction residues justifies the notable calcium content (22.5 wt%) that was detected in the chemical composition of the material, as it was analyzed using XRF. Silica (37.2 wt%) and aluminum (11.2 wt%) were the other primary elements, whereas magnesium was present in amounts of approximately 4 wt%. Based on the PSD analysis, the volume moment (De Brouckere) mean particle diameter (D[4,3]) of the converted materials was 86.6 µm, whereas the size distribution ranged from 0.594 µm to 1.11 mm. Nitrogen adsorption analysis confirmed the formation of mesoporous material (46.0 nm mean pore diameter), with the specific surface area and pore volume of the hydrothermally converted material, respectively, increasing from 4.89 m2/g to 95.23 m2/g and from 0.014 mL/g to 0.610 mL/g over the original slag.
The equilibrium adsorption isotherms of Ni2+ onto the hydrothermally converted material, before and after the pH adjustment of the equilibrated adsorbent-adsorbate solution, as well as the fitting of the experimental data to the linearized Langmuir, Freundlich, and Temkin adsorption models are shown in Figure 4.
The Langmuir model is based on some reasonable assumptions that characterize the chemisorption process. According to them, the surface of the adsorbent only offers a fixed number of adsorption sites, with identical shapes and sizes, characterized by identical adsorption capacity. The adsorbed material forms only one layer (thickness of one molecule) on the surface of the adsorbent, and the temperature is constant. Mathematically, the Langmuir model is expressed by the following equation:

where Ce is the equilibrium concentration of adsorbate in solution (µmol/100 mL), qe is the amount of metal adsorbed per g of adsorbent at equilibrium (µmol/g), Dm is the theoretical maximum monolayer coverage capacity of the adsorbent (µmol/g), and k is the Langmuir isotherm constant (100 mL/µmol).
The Freundlich isotherm is not constrained by the assumptions required in the Langmuir model. Instead, it describes the physical adsorption process that can be applied to adsorbents with heterogeneous surfaces. The adsorption sites, distributed all over the adsorbent's surface, are characterized by different affinities for the adsorbate, whereas the adsorbed material forms more than one layer on the surface of the adsorbent. The Freundlich model is mathematically expressed as:

where Kf and n are the Freundlich isotherm constants, corresponding to adsorption capacity and adsorption intensity, respectively.
Finally, the Temkin model assumes that the adsorption heat of all the molecules of the layer linearly decreases with coverage due to the adsorbent-adsorbate interactions, whereas the binding energies are uniformly distributed. The Temkin model is expressed by the following equation:

where R is the universal gas constant (8.314 J/mol/K), T is the temperature (K), ΔQ is the variation of adsorption energy ((J/mol)∙(g/µmol)), and K0 is the Temkin isotherm equilibrium binding constant (100 mL/µmol).
The values of the coefficients for all the applied models were calculated based on the plotted adsorption isotherms (Figure 4a) and the linear forms of the Langmuir, Freundlich, and Temkin equations (Figure 4b-4d). The coefficient values, along with the linear equations, are presented in Table 1. Finally, comparisons between the experimental data and the theoretical adsorption isotherms of Ni2+ onto the activated material for the three different adsorption models are presented in Figure 5. Based on the contour of the graphs and the high proximity of the experimental results to the theoretical isotherm curves, it has been verified that the newly formed sorbent material can be effectively used as a Ni2+ adsorbent.
By comparing the fitted results presented in Figure 5a and 5b, as well as the regression coefficients (R2) for the Langmuir and Freundlich models (Table 1), it is clear that the Langmuir equation is the one that better describes the experimental data. This implies that the adsorption of Ni2+ ions on the converted material is a monolayer adsorption and that its nature is that of a chemisorption process. In order to further analyze the nature of the investigated adsorption, we also attempted to fit the Temkin model to the experimental data. From the graph shown in Figure 5c and its high R2 (Table 1), it is clear that the Temkin model also fits the experimental data well. Based on the positive values of the variation of adsorption energy (ΔQ), it can be concluded that the adsorption is exothermic.

Figure 1: Acetic acid extraction. Concentration of Al, Ca, Mg, and Si in the leachate solutions (first step, second step, and in total) resulting from the reaction between acetic acid and ground, granulated BF slag at 30 °C, 1,000 rpm and for 60 min. Please click here to view a larger version of this figure.

Figure 2: Calcium carbonate precipitates. (a) Composition of the carbonate precipitate, expressed in weight percentage per element, normalized to 100% total. (b) XRD diagram of the post-carbonation precipitate. (c) Particle size distribution of the post-carbonation precipitate. Reproduced from De Crom et al.6 with permission from Elsevier (3879261230348). Please click here to view a larger version of this figure.

Figure 3: Hydrothermally converted material. (a) Composition of the hydrothermally converted material, expressed in weight percentage per element, normalized to 100% total. (b) XRD diagram of the hydrothermally converted material. (c) Average particle size distribution of the hydrothermally converted material. Please click here to view a larger version of this figure.

Figure 4: Adsorption isotherms. (a) Adsorption isotherm data of Ni2+ on the zeolitic material before and after the pH adjustment. (b-d) Fitting of the experimental data to the linearized Langmuir, Freundlich, and Temkin adsorption models. Please click here to view a larger version of this figure.

Figure 5: Experimental and simulated data proximity. Comparison between the experimental data (exp) and the simulated adsorption isotherms (calc) of Ni2+ onto the zeolitic material according to the (a) Langmuir, (b) Freundlich, and (c) Temkin models. Please click here to view a larger version of this figure.
| Linear Equations | Coefficients | Unadjusted | Adjusted |
| Langmuir Equation |  | Dm | 196.08 | 196.08 |
| k | 0.174 | 0.0851 |
| R2 | 0.997 | 0.993 |
| Freundlich Equation |  | n | 2.50 | 2.13 |
| Kf | 26.50 | 17.64 |
| R2 | 0.840 | 0.893 |
| Temkin Equation |  | ΔQ | 102.30 | 93.99 |
| K0 | 9.97 | 3.58 |
| R2 | 0.998 | 0.978 |
Table 1: Adsorption isotherm parameters for the Ni2+ adsorption onto the zeolitic material. Equations of, and fitted parameters from, linearized Langmuir, Freundlich, and Temkin adsorption models.