Simulated Experiment Study of Factors Influencing the Hydration Activity of f-CaO in Basic Oxygen Furnace Slag

The compositions and formation process of f-CaO in BOF slag were revealed and simulated to understand its expansion rules and why its hydration activity is low. BSE showed the compositions of f-CaO, which included calcium iron phase and calcium iron manganese phase, were diverse. The hydration activity sequence was Ca2Fe2O5 and Ca3Fe1.5Mn1.5O8 in tricomponent f-CaO < CaO in tricomponent f-CaO < monocomponent f-CaO; only Ca2Fe2O5 and Ca3Fe1.5Mn1.5O8 were hard to hydrate, and the volume expansion rates of the tricomponent f-CaO varied with different compositions. Inductively, in BOF slag, the hydration activity sequence was solid solutions CaO-FeOx and CaO-FeOx-MnOy in tricomponent f-CaO < CaO in tricomponent f-CaO < monocomponent f-CaO; the volume expansion rates of tricomponent f-CaO changed with different compositions, and CaO-FeOx and CaO-FeOx-MnOy were difficult to hydrate. The reason why solid solutions CaO-FeOx and CaO-FeOx-MnOy were hard to hydrate was that their hydration reaction driving force, which is the absolute value of standard molar reaction Gibbs functions, decreased.


Introduction
Basic Oxygen Furnace (BOF) slag is the industrial by-product from the steel-refining process in a conversion furnace, and its output accounts for 15∼20% by mass of the total output of crude steel [1].In China, 1.5 × 10 8 tons of BOF slag was produced in 2015 [2].However, the current utilization rate of BOF slag in China is only 22%.Massive amounts of BOF slag have been dumped as waste, which not only leads to the occupation of farm land and serious pollution to the environment but is also an extreme waste of resources.This situation also has a very negative effect on steel enterprise regarding sustainable development [3].In China, approximately two billion tons of Ordinary Portland Cement (OPC) is produced every year [4,5].BOF slag and OPC possess the same chemical and mineral compositions, and it is possible to use BOF slag in cement and concrete industry as a resource; meanwhile, this use is effective to realize a high added value application and sustainable development.However, its low hydration activity [6,7] and the volume expansion that occurs after blended OPC binder containing BOF slag (CBS) hardens [8][9][10] have restricted the application of BOF slag in cement and concrete industry.It is imperative to find ways to stimulate its hydration activity and resolve the volume expansion of BOF slag.
There have been a great number of studies on stimulating the hydration activity of BOF slag, but there have been very limited studies on resolving the volume expansion of BOF slag.Currently, it is universally acknowledged that there is the possibility that f-CaO and f-MgO, which are in a dead-burnt state and whose hydration activity is very low, will continue to slowly hydrate in BOF slag after CBS hardens, causing a volume expansion, which may damage the construction.In this study, f-CaO was considered to be the major factor of the volume expansion of BOF slag.F-CaO, which will cause the volume expansion after CBS hardens, is a mineral phase in BOF slag, and its main composition is CaO [11][12][13].
To address the volume expansion caused by f-CaO, Wang et al. [8] have found a theoretical equation based on both chemical reaction and physical changes of f-CaO in BOF slag during the hydration process to predict the volume expansion of BOF slag.The calculated volume expansion data can be 2 Advances in Materials Science and Engineering used as evaluation criteria for a given slag that is used in an engineering application, which is significant to applying BOF slag in OPC.At the same time, Wang [9] has noted that the volume expansion data of BOF slag tested by the current ASTM (2006) standard test method [10] are not directly related to the expansion behavior of BOF slag under confined conditions.The expansion force is the direct factor, and the allowable stress of a rigid matrix should also be considered when BOF slag is applied in OPC.Kuo et al. [14,15] have put forward that high temperature rapid catalytic technology can accelerate f-CaO hydration and forecast the volume expansion within a short time.Moreover, it can verify the volumetric stability of a steel material, identify the possible expansion risk before use, and forecast the durability of concrete mixed with different amounts of BOF slag.
So far, the literature has shown that there has been a great amount of attention paid by exploring the relationship between a certain amount of f-CaO and the volume expansion that is caused.However, a limited number of studies have revealed a clear explanation of the causes related to the low hydration activity of f-CaO.Therefore, the current aims to resolve volume expansion and establish evaluation criteria are difficult and, to a certain extent, rely on experience.Therefore, it is theoretically and practically significant to study how the factors that influence the hydration activity of f-CaO lead to a minimal hydration activity of f-CaO.
Through a molten temperature of approximately 1600 ∘ C, f-CaO in BOF slag is in a dead-burnt state, and the compositions and the distribution of f-CaO are heterogeneous.It is possible that iron oxide (FeO x ) and manganese oxide (MnO y ) may dissolve in f-CaO during the steelmaking process [11][12][13].The steelmaking process occurs at a high temperature (about 1600 ∘ C) and oxidation state [16].Under this condition, transition metals, such as Fe and Mn, often form nonstoichiometric oxides [17,18].If f-CaO is transformed into the combination of metal oxides, it will present with the form of CaO⋅aFeO x ⋅bMnO y [12].The values of , , , and  of f-CaO in different areas of BOF slag are different and uncertain.
Taking the formation process and the compositions of f-CaO into consideration, the factors that influence the hydration activity of f-CaO are absolutely connected with both the time of high temperature process and dissolved FeO x and MnO y .Under the influence of these factors, the hydration activity of f-CaO may become low.Since the system of BOF slag is very complex, the relationship between the hydration activity of f-CaO and the duration of the high temperature process, especially the quantitative relationship between the hydration activity of f-CaO and its compositions, is still not definite.
With the aim of better understanding the compositions of f-CaO in BOF slag, why the hydration activity of f-CaO is low, and its expansion rules, as well as providing theoretical support to address the volume expansion caused by f-CaO, first, the compositions and formation process of f-CaO in different BOF slags were revealed using backscattered electron images (BSE) and energy dispersive analysis (EDS) of scanning electron microscope (SEM) images.Secondly, based on these observations, the formation process and compositions of f-CaO were simply simulated through the calcination experiment.Simulated monocomponent f-CaO is not the same but it is similar to monocomponent f-CaO in BOF slag and tricomponent f-CaO of CaO⋅aFeO 1.5 ⋅bMnO 2 system is not the same but it is similar to the tricomponent f-CaO of CaO⋅aFeO x ⋅bMnO y system in BOF slag.These components were thoroughly studied by scanning electron microscope (SEM), X-ray diffraction (XRD), energy dispersive spectrometer mapping (EDS-mapping), and hydration heat evolution test.The latter was used to explore the influence mechanisms of the calcination time on the hydration activity of monocomponent f-CaO and dissolved Fe 2 O 3 and MnO 2 on the hydration activity of tricomponent f-CaO of CaO⋅aFeO 1.5 ⋅bMnO 2 system.The aim of this study was to provide useful fundamental knowledge regarding complex systems by studying simplified systems.Then, the influence mechanisms were extended to monocomponent f-CaO and tricomponent f-CaO of CaO⋅aFeO x ⋅bMnO y system because of their similarity.Finally, the main mechanisms behind tricomponent f-CaO of CaO⋅aFeO x ⋅bMnO y system were confirmed by thermodynamic theory.Thermodynamic theory was applied to confirm why the hydration activity of solid solutions CaO-FeO x and CaO-FeO x -MnO y in tricomponent f-CaO in BOF slag was low and weaker than that of CaO.

Sample Preparation.
BOF slag particles were crushed, rubbed, and inserted in a mould to be polished achieving a smoothness ≤ 0.5 um.Subsequently, the samples were washed and coated by carbon film.
Analytical grade CaO was placed in a 50 mm × 10 mm cylindrical mould under a pressure of 20 MPa for 3 min and then demoulded; calcinated for 1, 3, 5, and 7 h at 1600 ∘ C in the electric furnace (Luoyang Shenjia Kiln Co., Ltd., SSJ-17); and cooled in air rapidly to prepare the four monocomponent f-CaO samples.After the calcinations, the samples were fractured, milled, and sieved below 180 um.Finally, the samples were stored in a dryer for the tests.The three samples of tricomponent f-CaO of CaO⋅FeO 1.5 ⋅ MnO 2 system were prepared from mixing analytical grade CaO, Fe 2 O 3 , and MnO 2 according to  and  that were equal to 0.17 and 0.03, 0.14 and 0.06, 0.1, and 0.1, separately, and then, the other procedures were the same as above, except that the calcination time was 3 h.The nomenclature used for the three samples of the tricomponent f-CaO of CaO⋅aFeO 1.5 ⋅bMnO 2 system is C⋅0.17F⋅0.03M,C⋅0.14F⋅0.06M,and C⋅0.1F⋅0.1Maccording to the difference of  and .C, F, and M represent CaO, FeO 1.5 , and MnO 2 , respectively.Ca 2 Fe 2 O 5 , whose molar ratio of CaO to Fe 2 O 3 was 2, and Ca 3 Fe 1.5 Mn 1.5 O 8 , whose molar ratio of CaO, Fe 2 O 3 , and MnO 2 was 4 : 1 : 2, was prepared by similar procedures.

The Compositions of f-CaO in the Four Types of BOF
Slags.The backscattered electron image (BSE) was used to observe the micromorphology of the mineral phase in solid matter, in which brighter area corresponds to higher atomic number.The morphology and distribution of the mineral phase in BOF slags were observed using BSE, and, with the energy dispersive spectrometer analysis (EDS), the element compositions of f-CaO in BOF slags were revealed by frequency histogram method in statistics.

Simulated Monocomponent f-CaO Calcinated for Different Times
(1) XRD Characterization.The monocomponent f-CaO samples were ground to 45 um, and then the sieved samples were used for XRD (Siemens D5000) with a scanning range between 5 ∘ and 90 ∘ 2 at a scanning speed of 1 s/step and a resolution of 0.05 ∘ /step.The X-ray diffraction patterns were analyzed by the diffraction software Jade-6 equipped with the ICCD (International Centre for Diffraction Data) PDF-2 database to calculate the crystalline sizes of the monocomponent f-CaO samples using the Scherrer equation [19].
(2) SEM Characterization.The fractured monocomponent f-CaO samples were coated with gold and observed by a SEM (Japanese Electronics Co., Ltd., JSW-780f) to analyse the influence of the calcination time on the microtopography of the monocomponent f-CaO samples.
(3) Hydration Heat Evolution Test.The monocomponent f-CaO samples, whose initial masses were 0.6 g, were for the hydration heat evolution test at a water/powder mass ratio = 10/3 at 20 ∘ C with isothermal calorimetry (Toni Technik GmBH, Germany, ToniDCA7338, sensitivity ratio 0.2 J/g).
The results represent the hydration activity of the samples.

Simulated Tricomponent f-CaO of CaO⋅aFeO 1.5 ⋅bMnO 2 System
(1) XRD Characterization.The samples of tricomponent f-CaO of CaO⋅aFeO 1.5 ⋅bMnO 2 system were ground below 45 um.Then, the sieved samples were dehydrated, hydrated at 20 ∘ C after 36 h, and autoclaved after 3 h ( = 2.0 MP,  = 216 ∘ C).The samples were used for XRD (Siemens D5000) with a scanning range between 10 ∘ and 50 ∘ 2, a scanning speed of 1 s/step, and a resolution of 0.02 ∘ /step.Ca 2 Fe 2 O 5 and Ca 3 Fe 1.5 Mn 1.5 O 8 and the products of Ca 2 Fe 2 O 5 and Ca 3 Fe 1.5 Mn 1.5 O 8 hydrated at 20 ∘ C after 28 d were also used for XRD under the similar condition, except that the scanning range was between 20 ∘ and 70 ∘ 2.The X-ray diffraction patterns were analyzed by the diffraction software Jade-6 in Section 2.3.2(1).The differences in the compositions of the samples were analysed before and after hydration under different conditions.
(3) Hydration Heat Evolution Test.This test was the same as in Section 2.3.2 (3), except that the samples were tricomponent f-CaO of CaO⋅aFeO 1.5 ⋅bMnO 2 system.

The Morphology of Mineral
Phase in BOF Slags. Figure 1 shows the BSE images of the four types of BOF slags.With EDS for every unique area, it can be found that the black calcium silicate phase marked by A had a round or leaf shape; the white calcium iron aluminium phase indicated by B had a crosslinked shape; the iron magnesium phase, which is labelled by C 1 , was black in the center and white at the edge; the iron magnesium manganese calcium phase labelled by C 2 was light grey and in an irregular or striation shape; the calcium iron phase marked by D 1 had a large particle shape; and the gathering calcium iron manganese phase shown as D 2 had a grey small particle shape.There was a small amount of f-MgO, labelled by E that is shown by a black small particle shape as well as Fe particles, indicated as F, that had a light and round shape.As shown in Figure 1, the mineral phase distribution is not uniform.Although they were in the same phase, for example, the black calcium silicate phase, their morphology, and distribution were different in different BOF slags.
F-CaO in BOF slag was considered as a phase which includes not only main CaO but also some iron oxide (FeO x ) and manganese oxide (MnO y ) [11][12][13].From the above observations, there was the possibility that calcium iron phase (D 1 ) and calcium iron manganese phase (D 2 ) were classified as f-CaO.In the following section, the element compositions of calcium iron phase and calcium iron manganese phase were analysed by frequency histogram method in statistics to identify whether the calcium iron phase and calcium iron manganese phase could be regarded as f-CaO or not.compositions of calcium iron phase and calcium iron manganese phase in BOF slags.

The Element Compositions of the Calcium Iron Phase and Calcium Iron Manganese
(1) The Element Compositions of Calcium Iron Phase. Figure 2 presents frequency histograms of the mole ratio of Fe to Ca in the calcium iron phase of the four types of BOF slags.In the BSE images, 70 microareas in BS, 90 microareas in MS, 50 microareas in CS, and 70 microareas in BS were analysed by EDS, producing the frequency histograms of the mole ratio of Fe to Ca. Figure 2 indicated that the frequency histograms of  Fe / Ca in the calcium iron phase were irregular and varied in different BOF slags, but their values were all less than 0.3.Therefore, the calcium iron phase in BOF slags was a phase of CaO⋅aFeO x system, whose compositions were not fixed.
(2) The Element Compositions of Calcium Iron Manganese Phase. Figure 3 shows frequency histograms of the mole ratio of (Fe + Mn) to Ca in the calcium iron manganese phase of the three types of BOF slags.In BSE images, the calcium iron manganese phase was not found in SS, and 70 microareas in MS, 90 microareas in CS, and 50 microareas in BS were analysed by EDS, producing the frequency histograms of the mole ratio of (Fe + Mn) to Ca.Based on Figure 2, it can be obtained that Figures 3 and 2 possess similar characteristics.The frequency histograms of ( Fe +  Mn )/ Ca in the calcium iron manganese phase were irregular and varied in different BOF slags, and the values were all less than 0.5.Therefore, the calcium iron manganese phase in BOF slags was a phase of CaO⋅aFeO x ⋅bMnO y system, whose compositions were diverse.
It can be concluded that the calcium iron phase and calcium iron manganese phase could be regarded as f-CaO because CaO was the main component and FeO x and MnO y were minor components.
Table 2 is frequency table of elements in the calcium iron manganese phase of the three types of BOF slags.It is evident that the average contents of Ca, Fe, and Mn decreased gradually, and although Figure 3 gives that the frequency histogram of ( Fe +  Mn )/ Ca in the calcium iron manganese phase was irregular, the average values of ( Fe +  Mn )/ Ca were about 0.2.From Figure 1, it is clear that the f-CaO of the calcium iron phase was adjacent to the calcium iron aluminium phase or Fe and that the f-CaO of the calcium iron manganese phase was close to the iron magnesium manganese calcium phase.From this, it can be speculated that the compositional difference between the f-CaO of  the calcium iron phase and the f-CaO of the calcium iron manganese phase was due to the difference of the phases adjacent to different f-CaO.In the high temperature process of steelmaking, some FeO x dissolved in CaO, which was next to the calcium iron aluminium phase or Fe, forming f-CaO of the calcium iron phase, and both FeO x and MnO y dissolved in CaO adjacent to the iron magnesium manganese calcium phase to form the f-CaO of the calcium iron manganese phase.In the process of solid solution formation, compared with the radii of Mg 2+ in MgO and Al 3+ in Al 2 O 3 , the radii of Fe 2+ in FeO x and Mn 2+ in MnO y may be closer to Ca 2+ (there is a special example: Ca 2+ : 0.099 nm, Mn 2+ : 0.091 nm, Fe 2+ : 0.083 nm, and Mg 2+ : 0.078 nm, Al 3+ : 0.057 nm) [11,12].Therefore, FeO x and MnO y may be easier to dissolve in CaO than MgO and Al duration of the high temperature process and the dissolved FeO x and MnO y .Since the system of BOF slag is very complex, the influence of these factors on hydration activity of f-CaO was simply studied through the calcination experiment.So far, the majority of the published literatures have thought that both FeO x and MnO y dissolve in f-CaO [11,12], so in the following section, the influence of the duration of the high temperature process and the components of both FeO x and MnO y on hydration activity of f-CaO was simply studied firstly.If it is necessary, the influence of FeO x on the hydration activity of f-CaO will be further explored in later studies.
F-CaO was divided into two categories: monocomponent f-CaO and tricomponent f-CaO of CaO⋅aFeO x ⋅bMnO y system.F-CaO, composed of only CaO, was called monocomponent f-CaO, and f-CaO, composed of CaO, Fe 2 O 3 and MnO 2 , was called tricomponent f-CaO of CaO⋅aFeO 1.5 ⋅bMnO 2 system.Monocomponent CaO, which is not the same but is similar to monocomponent f-CaO in BOF slag, was prepared to explore the influence mechanisms of the calcination time on the hydration activity of monocomponent f-CaO, and tricomponent f-CaO of CaO⋅aFeO 1.5 ⋅bMnO 2 system, which is not the same but similar to tricomponent f-CaO of CaO⋅aFeO x ⋅bMnO y system in BOF slag, was prepared to study the influence mechanisms of the dissolved Fe 2 O 3 and MnO 2 on the hydration activity of the tricomponent f-CaO of CaO⋅aFeO 1.5 ⋅bMnO 2 system.The aim of this study was to provide useful fundamental knowledge for complex system through studying simplified systems.

Microtopography and Hydration Heat Evolution Rate Curves of Monocomponent f-CaO Calcinated for Different
Times. Figure 4 shows the crystalline sizes of monocomponent f-CaO calcinated for 1, 3, 5, and 7 h, and Figure 5 presents their microtopography.With the development of the calcination time, the crystalline sizes of monocomponent f-CaO initially increased but ultimately decreased, and the crystalline size of the monocomponent f-CaO calcinated for 3 h was 51 nm, which was the largest size.Figure 5 indicates that, compared with monocomponent f-CaO calcinated for 1, 5, and 7 h, the microtopography of monocomponent f-CaO calcinated for 3 h was more complete and its microstructure was denser.This was probably because the calcination time affects the crystal growth, and the degree of growth will increase with calcination time; however, an unreasonable extension of the calcination time would aggravate secondary recrystallization, which can damage the crystal structure, increasing the number of crystal defects [20].
Figure 6 shows the hydration heat evolution rate curves of monocomponent f-CaO calcinated for 1, 3, 5, and 7 h.Figure 6 shows that all of the samples were still not fully hydrated after 3 h.It can be inferred that calcination at 1600 ∘ C could restrain the hydration activity of CaO to a certain extent.Compared with monocomponent f-CaO calcinated for 1, 5, and 7 h, the hydration heat evolution peaks of monocomponent f-CaO calcinated for 3 h fell behind.This was probably because the better the degree of the growth of the crystal, the lower the hydration activity.Figures 4 and 5 show that the crystallinity of monocomponent f-CaO calcinated for 3 h was more complete and its microstructure was denser than those of monocomponent f-CaO calcinated for 1, 5, and 7 h.

Characterization of Simulated Tricomponent f-CaO of
CaO⋅aFeO 1.5 ⋅bMnO 2 System.Figure 3 indicated that the frequency histograms of ( Fe +  Mn )/ Ca in the calcium iron manganese phase were irregular and varied in different BOF slags, but Table 2 shows the average contents of Ca, Fe, and Mn decreased gradually with the sequence of Ca, Fe, and Mn, and the average values of ( Fe +  Mn )/ Ca were about 0.2.Therefore, the metal oxides compositions of tricomponent f-CaO samples were CaO⋅0.17FeO1.5 ⋅0.03MnO 2 , CaO⋅0.14FeO 1.5 ⋅0.06MnO 2 , and CaO⋅0.1FeO1.5 ⋅0.1MnO 2 in this study.To explore the influence mechanisms of dissolved Fe 2 O 3 and MnO 2 on their hydration activity, the following tests were carried out.contents in their hydration products were less than the detection limit of XRD.

XRD Analyses
From Figures 7 and 8, it can be concluded that CaO in the tricomponent f-CaO can fully hydrate at 20 ∘ C after 36 h, even though it went through the calcination at 1600 ∘ C, but Ca Because the hydration reactions occurred in different phases in the tricomponent f-CaO, the volume expansion rates of the solid phases can be calculated and are presented in Table 3. From Table 3, because of the hydration reactions of CaO, Ca 2 Fe 2 O 5 , and Ca 3 Fe 1.5 Mn 1.5 O 8 , the volumes of the solid phases increased by 97.88%, 43.44%, and 52.02%, respectively.Their volume expansion rates were different, so the volume expansion rates of the tricomponent f-CaO varied with different proportions of CaO, Ca 2 Fe 2 O 5 , and Ca 3 Fe 1.5 Mn 1.5 O 8 .

EDS-Mapping Analyses.
Figure 9 shows EDS-mapping of the tricomponent f-CaO of CaO⋅aFeO 1.5 ⋅bMnO 2 system.From Figure 7, it can be observed that the main phases in the tricomponent f-CaO were CaO, Ca 3 Fe 1.5 Mn 1.5 O 8 , and Ca 2 Fe 2 O 5 .Figure 9 shows CaO was widespread, Ca 2 Fe 2 O 5 distributed as dendritic patterns, and Ca 3 Fe 1.5 Mn 1.5 O 8 irregularly distributed in the tricomponent f-CaO.Ca 3 Fe 1.5 Mn 1.5 O 8 is distributed with widespread diffusion patterns in C⋅0.1F⋅0.1Msample.
In order to study the influence of dissolved Fe 2 O 3 and MnO 2 on the hydration activity of the tricomponent f-CaO of CaO⋅aFeO 1.5 ⋅bMnO 2 system, except for Ca 2 Fe 2 O 5 and Ca 3 Fe 1.5 Mn 1.5 O 8 in the tricomponent f-CaO that were hard to hydrate, the hydration activity of CaO in tricomponent f-CaO should also be investigated.It is meaningful to identify whether and how the distribution of the patterns of Ca 2 Fe 2 O 5 and Ca 3 Fe 1.5 Mn 1.5 O 8 influenced the hydration activity of CaO in the tricomponent f-CaO.

Hydration Heat Evolution Analyses.
The increasing curves shown in Figure 10 are the cumulative hydration heat curves of the monocomponent f-CaO and tricomponent f-CaO of CaO⋅aFeO 1.5 ⋅bMnO 2 system.There were no increases in the cumulative hydration heats of C⋅0.17F⋅0.03M,C⋅0.14F⋅0.06M,and C⋅0.1F⋅0.1Mafter 30 h, and the cumulative hydration heats of them were similar after 30 h.When their initial masses were 0.6 g, the contents, expressed by the amount of substance with different compositions, could be calculated as shown in Table 4. Table 4 shows the CaO contents related to C⋅0.17F⋅0.03M,C⋅0.14F⋅0.06M,and C⋅0.1F⋅0.1Mbeing 0.0064, 0.0061, and 0.0057 mol, respectively.It was clear that their CaO contents were similar.Since CaO was totally hydrated, but no hydration was detected in Ca 2 Fe 2 O 5 and Ca 3 Fe 1.5 Mn 1.5 O 8 when the tricomponent f-CaO took part in the hydration process at room temperature within a short time, the final cumulative hydration heat of C⋅0.17F⋅0.03M,C⋅0.14F⋅0.06M,and C⋅0.1F⋅0.1Mwas similar.The single peak type curves shown in Figure 10 are the hydration heat evolution rate curves of monocomponent f-CaO and tricomponent f-CaO of CaO⋅aFeO 1.5 ⋅bMnO 2 system.Compared with the narrow and high hydration heat evolution peak of monocomponent f-CaO, the hydration heat evolution peaks of the tricomponent f-CaO were wide and low.Compared with monocomponent f-CaO, the hydration heat evolution peaks of tricomponent f-CaO fell slightly behind, and the larger the / was, the further its hydration heat evolution peak fell behind.It is clearly indicated that, compared with monocomponent f-CaO, the hydration activity of CaO in the tricomponent f-CaO decreased continuously with increasing /.When the contact of CaO and H 2 O became more difficult, the hydration activity of CaO reduced  [21], so it may be that the distribution patterns of Ca 2 Fe 2 O 5 and Ca 3 Fe 1.5 Mn 1.5 O 8 in tricomponent f-CaO can restrain the contact between CaO and H 2 O in the hydration process of tricomponent f-CaO; the effect became more serious with increasing Ca 3 Fe 1.5 Mn 1.5 O 8 contents and decreasing of Ca 2 Fe 2 O 5 contents.Combined with the analyses of Figure 7, the sequence of the hydration activity of monocomponent f-CaO and tricomponent f-CaO was as follows: Ca 2 Fe 2 O 5 and Ca 3 Fe 1.5 Mn 1.5 O 8 in tricomponent f-CaO < CaO in tricomponent f-CaO < monocomponent f-CaO.
Since simulated monocomponent CaO and tricomponent f-CaO of CaO⋅aFeO 1.5 ⋅bMnO 2 system in this study are similar to monocomponent f-CaO and tricomponent f-CaO of CaO⋅aFeO x ⋅bMnO y system in BOF slag, the conclusions of this study can be extended to monocomponent f-CaO and tricomponent f-CaO of CaO⋅aFeO x ⋅bMnO y system in BOF slag.The following deductions can be made: (i) the volume expansion rates of tricomponent f-CaO of CaO⋅aFeO x ⋅bMnO y system in BOF slag, due to the different volume expansion rates of CaO and solid solutions CaO-FeO x and CaO-FeO x -MnO y , varied with different proportions of CaO and solid solutions CaO-FeO x and CaO-FeO x -MnO y , which was different from the current view that the volume expansion rate, due to f-CaO hydration, is merely 97.88% [8]; this study showed that 97.88% was only suitable for monocomponent f-CaO; (ii) in BOF slag, the sequence of the hydration activity of monocomponent f-CaO and tricomponent f-CaO of CaO⋅FeO x ⋅MnO y system should be solid solutions CaO-FeO x and CaO-FeO x -MnO y in tricomponent f-CaO < CaO in tricomponent f-CaO < monocomponent f-CaO; (iii) monocomponent f-CaO and CaO in tricomponent f-CaO of CaO⋅aFeO x ⋅bMnO y system, which underwent calcination at 1600 ∘ C, could hydrate fully in the hydration process at room temperature within a short time, but solid solutions CaO-FeO x and CaO-FeO x -MnO y were hard to hydrate.In the following section, the reason why solid solutions CaO-FeO x and CaO-FeO x -MnO y in tricomponent f-CaO in BOF slag were hard to hydrate was explained by theoretical analysis.

Theoretical Analysis of the Reason
Why the Solid Solutions CaO-FeO where AO  -BO  , Δ     , Δ     , and (Δ     /)  represent bicomponent metal oxide solid solution with a certain proportion of /, standard molar formation Gibbs function, standard molar reaction Gibbs function, and partial molar quantity of standard molar reaction Gibbs function of bicomponent metal oxide solid solution, respectively.
The hydration of AO  -BO  gradually proceeded.The first stage was associated with the hydration of AO  whose hydration activity was higher than that of BO  .The hydration reaction of this stage is described by The second stage was related to the hydration of BO  if its hydration was possible.The hydration reaction of this stage is described by The overall hydration reaction of AO  -BO  was as follows: AO For first stage, the hydration of AO  in AO  -BO  can be classified into two types.
The first type was related to the fact that all AO  in AO  -BO  took part in hydration reaction.The hydration reaction was as follows: After calculation, So (8) showed the standard molar reaction Gibbs function of the hydration reaction of AO  in AO  -BO  for this type.
The second type was associated with the fact that part of AO  in AO  -BO  took part in hydration reaction.The hydration reaction was expressed as After calculation, So (11) showed the standard molar reaction Gibbs function of the hydration reaction of AO  in AO  -BO  for this type.
In general, the values of Δ     and (Δ     /)  of the bicomponent metal oxide solid solution are negative [22].It can be deduced that whether all or part of AO  in AO  -BO  took part in the first stage of the hydration of AO  -BO  , the absolute values of Δ    ,A(mix,1) and Δ    ,A(,1) both were smaller than the absolute value of Δ    ,A of the hydration reaction of AO  alone.It can be speculated that the first stage of the hydration of AO  -BO  was more difficult than the hydration of AO  alone, so the overall hydration of AO  -BO  must be more difficult than that of AO  alone.Tricomponent metal oxide solid solution AO  -BO  -CO  was the product of the solid solution reaction among AO  , BO  , and CO  with a certain proportion of //.Tricomponent metal oxide solid solution AO  -BO  -CO  can be seen as a pseudo-bi-component metal oxide solid solution of AO  and BO  -CO  with a proportion of /1.If the values of Δ     and (Δ     /) , of pseudo-bi-component metal oxide solid solution AO  -BO  -CO  were still negative, its hydration must also be more difficult than that of AO  alone.Therefore, there was the possibility that solid solutions CaO-FeO x and CaO-FeO x -MnO y in tricomponent f-CaO in BOF slag were difficult to hydrate because of the decreased hydration reaction driving force, namely, the absolute value of standard molar reaction Gibbs function.
This study indicated that only solid solutions CaO-FeO x and CaO-FeO x -MnO y in tricomponent f-CaO were hard to hydrate, and their hydration activity was very low.Therefore, if f-CaO can make contact with H 2 O during the hydration process of CBS, all of the monocomponent f-CaO and CaO in tricomponent f-CaO of CaO⋅aFeO x ⋅bMnO y system undergo hydration within a short time, which will not lead to a volume expansion of BOF slag after the CBS hardens; however, solid solutions CaO-FeO x and CaO-FeO x -MnO y will continue to slowly hydrate after the CBS hardens, resulting in the volume expansion.

Conclusions
The following conclusions can be drawn from the test results and discussion.
In BOF slag, f-CaO included at least the calcium iron phase and calcium iron manganese phase whose compositions were diverse.The reason why f-CaO had different compositions was that different compositions of f-CaO were found in different phases.
Simulated experiment indicated that high temperature calcination can restrain the hydration activity of CaO.Since the volume expansion rates of CaO, Ca 2 In BOF slag, the volume expansion rates of tricomponent f-CaO of CaO⋅aFeO x ⋅bMnO y system changed with different proportions of CaO and solid solutions CaO-FeO x and CaO-FeO x -MnO y .The hydration activity sequence of monocomponent f-CaO and tricomponent f-CaO of CaO⋅aFeO x ⋅bMnO y system was solid solutions CaO-FeO x and CaO-FeO x -MnO y in tricomponent f-CaO < CaO in tricomponent f-CaO < monocomponent f-CaO.If f-CaO can make contact with H 2 O during the hydration process of CBS, only CaO-FeO x and CaO-FeO x -MnO y in bicomponent f-CaO, due to its low hydration activity, will lead to volume expansion after the CBS hardens.The reason why solid solutions CaO-FeO x and CaO-FeO x -MnO y were difficult to hydrate was that their hydration reaction driving force, the absolute value of standard molar reaction Gibbs function, decreased.

Figure 1 :
Figure 1: BSE images of the four types of BOF slag.

6 AdvancesFigure 3 :
Figure 3: Frequency patterns of ( Fe +  Mn )/ Ca in calcium iron manganese phase of the three types of BOF slag.

3
Fe 1.5 Mn 1.5 O 8 and Ca 2 Fe 2 O 5 , which were autoclaved for 3 h, were only slightly hydrated.The hydration activity of both Ca 3 Fe 1.5 Mn 1.5 O 8 and Ca 2 Fe 2 O 5 was so low that hydration was undetected at 20 ∘ C after 28 d.The hydration products of Ca 2 Fe 2 O 5 were Ca(OH) 2 and Fe 2 O 3 , and the hydration products of Ca 3 Fe 1.5 Mn 1.5 O 8 mainly contained Ca(OH) 2 and FeMnO 3 .Ca 2 Fe 2 O 5 and Ca 3 Fe 1.5 Mn 1.5 O 8 formed by CaO, Fe 2 O 3 , and MnO 2 were difficult to hydrate.

Table 3 :
Volume expansion of the solid phases after the hydration of different phases in tricomponent f-CaO of CaO⋅aFeO

Figure 7 :
Figure 7: X-ray diffraction patterns of tricomponent f-CaO of CaO⋅aFeO 1.5 ⋅bMnO 2 system and their hydration products under different hydration conditions (a: no hydration, b: hydration at 20 ∘ C for 36 h, and c: autoclave hydration for 3 h).

Figure 8 :
Figure 8: X-ray diffraction patterns of Ca 2 Fe 2 O 5 , Ca 3 Fe 1.5 Mn 1.5 O 8 , and their hydration products (a: no hydration and b: hydration at 20 ∘ C for 28 d).
Fe 2 O 5 , and Ca 3 Fe 1.5 Mn 1.5 O 8 in tricomponent f-CaO of CaO⋅aFeO 1.5 ⋅bMnO 2 system were 97.88%, 43.44%, and 52.02%, respectively, the volume expansion rates of tricomponent f-CaO varied with different proportions of CaO, Ca 2 Fe 2 O 5 , and Ca 3 Fe 1.5 Mn 1.5 O 8 .The hydration activity sequence was as Ca 2 Fe 2 O 5 and Ca 3 Fe 1.5 Mn 1.5 O 8 in tricomponent f-CaO < CaO in tricomponent f-CaO < mono-component f-CaO.Monocomponent f-CaO and CaO in tricomponent f-CaO of CaO⋅aFeO 1.5 ⋅bMnO 2 system can hydrate fully at room temperature within a short time, but Ca 2 Fe 2 O 5 and Ca 3 Fe 1.5 Mn 1.5 O 8 were difficult to hydrate.

Table 1 :
Chemical composition of BOF slag from different steel plants and the average composition in China.
Phase in BOF Slags.Frequency histogram method in statistics was used to reveal the element n Fe /n Ca Figure 2: Frequency patterns of  Fe / Ca in calcium iron phase of the four types of BOF slag.

Table 2 :
Frequency table of elements in calcium iron manganese phase of BOF slags from different steel plants.

x and CaO-FeO x -MnO y in Tricomponent f-CaO Were Hard to Hydrate AO
, BO  , and A(OH) 2 were used to represent metal oxides and the hydration product, and (1) and (2) represent the hydration reaction of AO  and the solid solution reaction of AO  and BO  , separately.AO  + H 2 O → A (OH) 2 , Δ