Open access peer-reviewed chapter

# Sintering of the Tricalcium Phosphate-Titania-Magnesium Fluoride Composites

By Ibticem Ayadi and Foued Ben Ayed

Submitted: October 18th 2016Reviewed: March 13th 2017Published: February 7th 2018

DOI: 10.5772/intechopen.68501

## Abstract

Titania (TiO2) and magnesium fluoride (MgF2) can be mixed with tricalcium phosphate (β‐Ca3(PO4)2, β‐TCP) to make bioceramic composites, which would combine the biocompatibility of the β‐TCP and the high tribological properties of TiO2 and MgF2 for biomedical applications. The samples were characterized by different characterization techniques such as physicochemical and mechanical. The sintering of the TCP at various temperatures (1000, 1100, 1200 and 1300°C) with different percentages of titania (2.5, 5, 7.5, 10, 20, 30, 40 and 50 wt%) was studied. The performances of the TCP‐TiO2 composites increase with both the sintering temperature and the amount of titania. The highest values of the composites’ (H = 270 Hv; E = 33.1 GPa and G = 15.7 GPa) were obtained with 40 wt% titania at 1200°C. Moreover, the addition of 4 wt% MgF2 to the TCP‐40 wt% TiO2 composites leads to better mechanical properties (σr = 27 MPa; H = 360 Hv; E = 51 GPa and G = 20 GPa) at 1200°C for 1 h. The amelioration of these properties is due to the formation of a new compound and the liquid phase which helps to fill the pores in the microstructure. The obtained performances of the TCP‐TiO2‐MgF2 composites are similar to those of bone tissue and especially as enamel.

### Keywords

• sintering
• biomaterial
• composites
• mechanical properties
• tricalcium phosphate

## 2. Materials and methods

The β‐TCP powder resulted from a mixture of calcium carbonate (CaCO3: Fluka, purity ≥ 98.5%) and calcium phosphate dibasic anhydrous (CaHPO4: Fluka, purity ≥ 99%) after a heat treatment at 1000°C for 2 h according to the following reaction (Eq. (1))” [49]:

2CaHPO4(s)+CaCO3(s)Ca3(PO4)+H2O+CO2(g)E1

The initial powders used to obtain the TCP‐TiO2‐MgF2 composites were synthesized tricalcium phosphate (β‐TCP), magnesium fluoride MgF2 (Sigma Aldrich, purity > 98%) and titania TiO2 (Fluka, purity > 98%). Firstly, Titania was introduced in the β‐TCP matrix at different contents (2.5, 5, 7.5, 10, 20, 30, 40 and 50 wt%) followed by homogeneous mixing in a mortar. The heat treatment of the compacted disks was carried out in a vertical programmable muffle furnace (Pyrox 2408) at various temperatures (1000, 1100, 1200 and 1300°C) for 1 h. The theoretical density (d) was determined using the following Eq. (2):

d=(3.07A+3.89B)/100E2

where A and B are the weight ratios and 3.07 and 3.89 are the theoretical densities of β‐TCP and anatase‐TiO2, respectively. The calculated theoretical densities of each composite are illustrated in Table 1 .

Aa (wt%)Ba (wt%)db
2.5097.503.0905
5.0095.003.1110
7.5092.503.1315
10.0090.003.1520
20.0080.003.2340
30.0070.003.3160
40.0060.003.3980
50.0050.003.4800

### Table 1.

The weight ratios of different TCP‐TiO2 composites.

A and B are the weight rates of TiO2 and β‐TCP, respectively.

Theoretical density.

Different amounts of MgF2 (1, 2.5, 3, 4, 4.5, 5, 6, 7.5 and 10 wt%) were added to the TCP‐40 wt% TiO2 composites followed by homogeneous mixing in a mortar. The heat treatment of the compacted specimens was carried out in a vertical programmable muffle furnace (Pyrox 2408) at 1200°C for different sintering times. The theoretical density (d) was determined using the following Eq. (3):

d=(3.07A+3.89B+3.15C)/100E3

where A′, B′ and C′ are the weight ratios and 3.07, 3.89 and 3.15 are the theoretical densities of β‐TCP, anatase‐TiO2 and MgF2, respectively. The calculated theoretical densities of all‐composite are illustrated in Table 2 .

A′a (wt%)B′a (wt%)C′a (wt%)db
59.5039.501.003.3947
58.7538.752.503.3897
58.5038.503.003.3881
58.0038.004.003.3848
57.7537.754.503.3831
57.5037.505.003.3815
57.0037.006.003.3782
56.2536.257.503.3732
55.0035.0010.003.3650

### Table 2.

The weight ratios of the different TCP‐TiO2‐MgF2 composites.

A′, B′ and C′ are the weight rates of β‐TCP, TiO2 and MgF2, respectively.

Theoretical density.

The powders were mixed with absolute ethanol in an agate mortar. After milling these powders, the mixture was dried at 80°C for 24 h. After drying, the powder mixtures were molded in a cylinder with diameter 20 mm and thickness 4 mm and pressed under 150 MPa. The specimens were heated and cooled at rates of 10°C min−1 and 20°C min−1, respectively.

The determination of the phase transformation in the microstructure of the elaborated composites was investigated by X‐ray diffraction (XRD) analysis. The identification of the components phases was done by means Seifert XRD 3000 TT diffractometer with CuKα radiation (λ = 1.54056 Å). The phase identification was operated resulting from the comparison between experimental XRD patterns and standards files compiled by the International Center for Diffraction Data (ICDD). The powders were then characterized by infrared spectrometric analysis with attenuated total reflection method (ATR) (Agilent Cary 630 Fourier Transform Infrared Spectrometer (FTIR)). The powders were submitted to the 31P magic angle scanning nuclear magnetic resonance (MAS‐NMR) on a Brucker 300 WB spectrometer.

The microstructure of the fractured surfaces of the sintered samples was investigated with scanning electron microscope (SEM) (JEOL JSM 5800LV) after enhancing their conductivity with a gold layer.

The powder's size was measured through a Micromeritics Sedigraph 5000. The specific surface area (SSA) was determined by the BET method with azote (N2) as the adsorbed gas (ASAP 2010) [50].

The main particle size (DBET) was calculated by assuming that the primary particles are spherical (Eq. (4)) [51]:

DBET=6E4

where ρis the theoretical density and S is the surface specific area.

The densification of the sintered specimens was evaluated by the measurements of the specimen dimensions. The relative error of the densification value was about 1%.

Thermal expansion‐shrinkage of the compact powder was measured with a dilatometer (Model Setaram TMA 92 dilatometer). About 20 mg of powder was heated with a heating rate of 10°C min−1 along with alumina as a reference material and a low stream of argon gas. The heating and cooling rates were 10 and 20°C min−1, respectively.

The Brazilian test was used to measure the mechanical strength of the samples [52, 53]. The rupture strength (σr) (or mechanical strength) was calculated based on the maximum applied load recorded (P) and sample's dimensions (D being the diameter and t being the thickness) using (Eq. (5)):

σr=2×Pπ×D×tE5

The sintered samples were examined by Vickers test indentation using loading values of 49 or 98 N applied for 15 s. This test was investigated after polishment of the samples surfaces between 1 and 3 µm with diamond paste. Vickers hardness value (H) was determined by Eq. (6) [54]:

H=1.854(P/d2)E6

where H is Vickers hardness, ‘d’ is the indent diagonal length and P is the indentation load.

The characterization of the samples using ultrasound technique promotes the determination of both Young's and Shear moduli value [55]. The measurement was done by a high‐frequency generator Model 5077PR (Olympus). Young's modulus and the Shear modulus were calculated from the point of the longitudinal and the transversal ultrasonic velocities [55].

## 3. Results

### 3.1. Characterization of the starting powders

Table 3 presents the particles size distribution data (measured by granulometric repartition), the SSA and the calculated average grain sizes (DBET) of the β‐TCP, TiO2 and MgF2 powders. The averages of the grain's size of the samples obtained through the SSA (DBET) and the granulometric repartition (D50) are different. This difference may be due to the presence of agglomerates in the initial powders ( Table 3 ).

CompoundsSSA (m2/g)DBET (μm)D50 a (μm)db
TiO212.000.110.203.89
β‐TCP0.802.806.003.07
MgF237.000.050.103.15

### Table 3.

Characteristics of the different powders used in the study.

Mean diameter.

Theoretical density.

The curve of the differential thermal analysis of the β‐TCP shows the presence of two endothermic peaks: the first large band located between 1230 and 1270°C is attributed to the first allotropic transformation of the tricalcium phosphate (β–α) and the second peak registered at 1470°C is relative to the second transformation of TCP (α–α′) ( Figure 1a ). These results are mentioned in previous works from literature [12, 56]. The Differential thermal analysis (DTA) curve of the TiO2 shows that no evolution can be obtained with the sintering temperature ( Figure 1b ). The thermogram of the TCP‐10 wt% TiO2 composites reveals the appearance of two endothermic peaks ( Figure 1c ). The first peak at 1470°C is attributed to the second transformation of the β‐TCP (α–α′) while the new peak at 1440°C is probably relative to the liquid phase formation. Furthermore, the melting points of both β‐TCP and TiO2 are 1756 and 1855°C, respectively [22]. Thus, the liquid phase is formed between TiO2 and β‐TCP, and it is not relative to the melting point of the initial powders. The results are similar to that found in the previous studies [12, 22]. They show that in the TiO2/β‐TCP system, there is an eutectic with a composition of 63 wt% TCP‐37 wt% TiO2 at 1380°C [22]. Figure 2 confirms the presence of the liquid phase which is showed in the binary diagram of the Ca3(PO4)2/TiO2 [22].

Figure 3 shows the dilatometric measurements of different powders used in this study (β‐TCP, TiO2, TCP‐10 wt% TiO2 composites and MgF2). The sintering temperature of the initial powder began at about 1000, 900 and 800°C for the β‐TCP, the TiO2 and the MgF2, respectively ( Figure 3a c ). The peak at 1230°C is attributed to the first allotropic transformation of the tricalcium phosphate ( Figure 3a ). The shrinkage curve of the titania powder reveals one peak which is relative to the phase transformation from anatase to rutile at 1090°C ( Figure 3b ). This result was well‐confirmed by literature [57]. In fact, they showed that the commercial anatase‐titania powder has been transformed into the rutile structure at about 1000°C [57], which confirms our results. The curve of the pure MgF2 indicates that the shrinkage was manifested at 800°C until 1150°C ( Figure 3c ). In fact, the rate of maximum densification corresponds to the inflection point, which is obtained at 890°C ( Figure 3c ). Figure 3d presents the shrinkage curve of the TCP‐10 wt% TiO2 composites. In fact, no evolution was reported with the TCP‐10 wt% TiO2 composites ( Figure 3d ). As a result, the content of 10 wt% TiO2 stabilizes the TCP structure and prevents the inverse allotropic transformation of TCP from the α phase to the β phase. The stabilization was well‐explained by the exchange of Ca2+ and Ti4+ ions derived from β‐TCP and TiO2.

### 3.2. Effect of the addition of titania on the densification and the mechanical properties of the tricalcium phosphate

The evolution of the densification of the tricalcium phosphate was studied with the addition of titania between 1000 and 1300°C. Figure 4 shows the typical relationship between temperature and density. The density of the β‐TCP sintered with different percentages of the TiO2 (2.5, 5, 7.5, 10, 20, 30, 40 and 50 wt%) increases with the sintering temperature ( Figure 4 ). At 1200°C, the optimum value of the densification (89%) was obtained with 40 wt% TiO2 ( Figure 4g ). Above 1200°C, the performances of the composites decrease abruptly ( Figure 4 ).

Figure 5 shows the influence of the titania additive (2.5, 5, 7.5, 10, 20, 30, 40 and 50 wt%) at various sintering temperatures (1000, 1100, 1200 and 1300°C) on the rupture strength of TCP. The mechanical strength of the TCP‐TiO2 composites improves with both the content of TiO2 and the sintering temperature ( Figure 5 ). At 1200°C, the rupture strength of the TCP‐40 wt% TiO2 composites reached its maximum value (33 MPa) ( Figure 5g ). Above 1200°C, the rupture strength of the TCP‐TiO2 composites was hindered abruptly ( Figure 5 ). The discrepancy of results appears especially after the addition of 50 wt% TiO2 in the tricalcium phosphate matrix ( Figure 5h ). The amelioration of these performances of the TCP‐40 wt% TiO2 composites could be according to the formation of a liquid phase between TiO2 and β‐TCP.

The evolution of Vickers hardness with different percentages of titania at various temperatures was shown in Figure 6 . Vickers hardness reached its optimum value (270 Hv) at 1200°C with 40 wt% TiO2. Then, Vickers hardness value decreases with the sintering temperature.

Figures 7 and 8 present the evolution of elastics moduli (E and G) of the β‐TCP sintered with different contents of TiO2 (2.5, 5, 7.5, 10, 20, 30, 40 and 50 wt%) at various temperatures (1000, 1100, 1200 and 1300°C). The optimum values of both Young's modulus and Shear modulus reached 33.1 and 15.7 GPa, respectively, with 40 wt% TiO2. Beyond 40 wt% TiO2, the properties of the composites were hold up with the increase of the sintering temperature ( Figures 7 and 8 ).

### 3.3. Effect of the magnesium fluoride addition on the densification and the mechanical properties of the tricalcium phosphate‐titania composites

The effect of the magnesium fluoride addition on the performances of the TCP‐40 wt% TiO2 composites has been assessed by the measurement of the density and the rupture strength. The densification behavior of the TCP‐40 wt% TiO2 composites sintered at 1200°C for 1 h with different amounts of MgF2 (1, 2.5, 3, 4, 4.5, 5, 6, 7.5 and 10 wt%) is reported in Figure 9 . These results show a significant improvement of the relative density of the TCP‐TiO2 composites as a function of the magnesium fluoride added ( Figure 9 ). The density of the TCP‐TiO2 composites increases from 3 wt% MgF2 and remains constant until 6 wt% MgF2, then the density of the composites decreases abruptly ( Figure 9 ). The optimum value of the densification was about 94% with 4 wt% MgF2. This result is obviously close to the full densification.

Figure 10 shows the rupture strength of the TCP‐40 wt% TiO2 composites sintered at 1200°C for 1 h with different percentages of MgF2 (1, 2.5, 3, 4, 4.5, 5, 6, 7.5 and 10 wt%). Thus, the rupture strength reached its maximum value (27 MPa) after the addition of 4 wt% MgF2 ( Figure 10 ). Above 4 wt% MgF2, the rupture strength decreases sharply ( Figure 10 ). A remarkable amelioration of the rupture strength of the TCP‐40 wt% TiO2 composites was obtained with 10 wt% MgF2 ( Figure 10 ).

The influence of the magnesium fluoride addition on Vickers hardness was studied at 1200°C with the same percentages of MgF2 ( Figure 11 ). The addition of MgF2 outstandingly enhanced Vickers hardness of the TCP‐40 wt% TiO2 composites ( Figure 11 ). Thus, the incorporation of 4 wt% of MgF2 to the composites led to a maximum of Vickers hardness (360 Hv) after the sintering process at 1200°C for 1 h. Beyond 4 wt% MgF2, Vickers hardness of the composites was hindered ( Figure 11 ). However, Vickers hardness of the TCP‐40 wt% TiO2 composites increases slowly with 10 wt% MgF2 ( Figure 11 ).

The evolution of the elastic modulus (E and G) of the TCP‐40 wt% TiO2 composites sintered with different contents of MgF2 is shown in Figure 12A and B , respectively. The elastic modulus of the TCP‐40 wt% TiO2 composites increase with the addition of MgF2 ( Figure 12A and B ). Thus, the optimum values of Young’s modulus and the Shear modulus of the TCP‐40 wt% TiO2 composites are obtained by adding 4 wt% MgF2 and these values reach 51 and 20 GPa, respectively. The performances of the samples were hindered with the increase of the percentages of MgF2 in the TCP‐40 wt% TiO2 composites ( Figure 12A and B ).

Figure 13 illustrates a typical relation between the different lengths of the sintering time and the densification of the TCP‐38 wt% TiO2‐4 wt% MgF2 composites after the sintering temperature at 1200°C. The maximum value of densification (94%) was registered after the sintering process at 1200°C for 1 h ( Figure 13 ). The densification's value decreases with the sintering time ( Figure 13 ).

Figure 14 depicts the rupture strength evolution of the samples after the sintering process at 1200°C for different length of the sintering time. The mechanical strength of the TCP‐TiO2‐MgF2composites was enhanced after the sintering process at 1200°C for 1 h and reached 27 MPa then, decreases abruptly ( Figure 14 ). This amelioration was associated to the important densification ( Figures 13 and 14 ).

Figure 15 shows the evolution of Vickers hardness of the TCP‐38 wt% TiO2‐4 wt% MgF2 composites with the length of the sintering time. Vickers hardness increases and reaches its optimum value (360 Hv) for 1 h ( Figure 15 ). Then, a remarkable diminution of Vickers hardness of the samples was registered above 1 h ( Figure 15 ).

The evolution of the elastic moduli (E and G) of the TCP‐38 wt% TiO2‐4 wt% MgF2 composites sintered for different length of the sintering time at 1200°C is pictured in Figure 16A and B , respectively. The sintering time has no effect on the elastic moduli ( Figure 16A and B ). Young's modulus reached 51 GPa as maximum value while Shear modulus reached 20 GPa as an optimum value ( Figure 16A and B ).

### 3.4. Characterization of the TCP‐TiO2‐MgF2 composites

After the sintering process, the samples were investigated by different characterization techniques such as: XRD, IR, 31P MAS‐NMR and SEM.

Figure 17 shows the XRD patterns of the samples sintered at 1200°C for 1 h without and with different contents of MgF2 (1, 2.5, 4, 4.5, 5, 7.5 and 10 wt%). The diffraction pattern of the TCP‐40 wt% TiO2 composites sintered without MgF2 displays the α‐TCP phase traces presence (ICDD data file no. 43‐1484), the calcium titanate (CaTiO3) (ICDD data file no. 89‐8033), the β‐TCP phase (ICDD data file no. 70‐2065) and the rutile phase of titania (ICDD data file no. 65‐1119) ( Figure 17a ). The introduction of 1 wt% MgF2 to the TCP‐40 wt% TiO2 led to the presence of traces of both calcium titanate (CaTiO3) and fluorapatite (FAp) (ICDD data file no. 76‐0558) beside the β‐TCP phase and the rutile phase of titania in majority peaks ( Figure 17b ). Further increasing the percentage of MgF2 to the TCP‐TiO2 composites, we obtain more of fluorapatite ( Figure 17b h ). Nevertheless, the β‐TCP phase is disappeared and the rutile phase quite occupied the majority of peaks ( Figure 17c h ). The appearance of a new phase relative to Mg2(PO4)F (ICDD data file no. 42‐0582) was detected after the addition of 2.5, 4 and 4.5 wt% MgF2 ( Figure 17c e ). At higher contents of MgF2 (after 4.5 wt%), the Mg2(PO4)F phase is completely disappeared and the intensity of fluorapatite increased ( Figure 17f h ).

Figure 18 displays the FTIR spectra of the TCP‐40 wt% TiO2 composites sintered at 1200°C for 1 h without and with different percentages of MgF2 (1, 2.5, 4, 4.5, 5, 7.5 and 10 wt%). Most bands characterize the phosphate group of calcium phosphate ( Figure 18 ). Therefore, the bands at 954 and 965 cm−1 are assigned to the symmetric stretching of the PO43ions while the bands at 1033 and 1093 cm−1 are relative to the asymmetric stretching of the PO43ions ( Figure 18 ).

The 31P MAS‐NMR spectra of the TCP‐40 wt% TiO2 composites sintered at 1200°C for 1 h without and with different amounts of MgF2 (1, 2.5, 4, 4.5, 5, 7.5 and 10 wt%) are illustrated in Figure 19 . This analysis indicates the presence of the tetrahedral environment, which is assigned to the resonance characteristic of the phosphate group ( Figure 19 ). Moreover, the 31P MAS‐NMR spectrum of the TCP‐40 wt% TiO2 composites sintered without MgF2 shows many tetrahedral environments: one broad peak centered at 4 ppm, a shoulder at 0.47 ppm and an intense peak at −0.62 ppm ( Figure 19a ). The NMR spectrum of the TCP‐40 wt% TiO2‐1 wt% MgF2 composites presents an allure modification ( Figure 19b ). One intense peak located at 3 ppm is probably attributed to the phosphor of the phosphate groups of the FAp ( Figure 19c h ). The second peak at 0.6 ppm is probably relative to the phosphor of the phosphate groups of the Mg2(PO4)F ( Figure 19b e ). The intensity of the first peak increases with the amount of MgF2 while the intensity of the second peak decreases and disappears with the TCP‐40 wt% TiO2‐4.5 wt% MgF2 composites ( Figure 19f h ).

The microstructure of the sintered samples was observed using the SEM analysis. Figure 20 shows the micrographs of the TCP‐40 wt% TiO2 composites sintered at 1200°C for 1 h without and with different percentages of MgF2 (2.5, 4, 7.5 and 10 wt%). The micrograph of the TCP‐40 wt% TiO2 composites sintered without MgF2 depicts the coalescence of the grains of the TCP and the titania ( Figure 20a ). The microstructure of the TCP‐40 wt% TiO2 composites shows a liquid phase, a continuous phase relative to the β‐TCP phases and a small‐sized grain relative to the titania ( Figure 20a ). The morphology of the TCP=40 wt% TiO2 composites sintered with 2.5 wt% MgF2 was completely transformed ( Figure 20b ). This fact is explained by the intergranular porosity presence beside the grain growth and the formation of a new lamella form ( Figure 20b ). At higher amount of MgF2 (4 wt%), this new phase still presented in the microstructure ( Figure 20c d ). An important densification (94%) was registered after the addition of 4 wt% MgF2 to the TCP‐40 wt% TiO2 composites ( Figure 20c d ). This result can be explicated by the reduction in the porosity. Moreover, the microstructure of the TCP‐38 wt% TiO2‐4 wt% MgF2 composites shows continuous phases with dense contacts between the grains of the samples ( Figure 20c d ). Both the addition of 7.5 and 10 wt% of MgF2 led to the disappearance of the lamella form and the properties of the samples were hindered by the formation in the bubbles form and the grain growth in the microstructure ( Figure 20e h ). Thus, the microstructure of the TCP‐36.25 wt% TiO2‐7.5 wt% MgF2 composites sintered at 1200°C presents the bubbles form ( Figure 20e f ). Moreover, the micrographs of the TCP‐35 wt% TiO2‐10 wt% MgF2 depict the grains in hexagonal form formation beside the bubbles form ( Figure 20g h ).

## 4. Discussion

In the light of its astonishing properties in terms of biocompatibility, in vivo bioactivity, osteoconductivity and bio‐resorbability, tricalcium phosphate has been emerged as one of the most imperative biomaterials [6, 58, 59]. Many authors reported rather fast degradation of the TCP while some researchers observed a minimal or very slow resorption [6, 59, 60]. Consequently, the addition of the inert oxide can enhance the mechanical performances of the TCP in order to combine the high mechanical and tricological properties of titania with the resorbability of TCP. The study of the tricalcium phosphate/titania system interested on improving the densification and the mechanical properties of the TCP by the addition of different amount of TiO2. The properties of the TCP‐TiO2 composites were increased in accordance with the amount of titania and the sintered temperature. Thus, the optimum values of these composites were acquired after the sintering at 1200°C with 40 wt% of titania. The objective of this study aimed to ameliorate the performances of these composites by the addition of a reinforcement agent like magnesium fluoride (MgF2). Recently, magnesium, as a dopant in both apatite and β‐TCP structures, has been the subject of specific interest due to its important role in biological processes after implantation [61, 62]. Magnesium plays an essential role in the formation of dental caries and bone deposition. Magnesium ions promote bone mineralization and control the growth of the calcium phosphate crystals under in vivo conditions [62, 63]. Magnesium indirectly influences bone resorption and directly stimulates osteoblast proliferation with an effect comparable to that of insulin (a known growth factor for osteoblast) [62, 63, 64]. Thus, magnesium containing calcium phosphates is more appropriate for biomaterials and their applications [62]. Magnesium ions play important roles in the formation and transformation of biologically related calcium phosphates [65, 66]. MgF2 ion is known as the most promising dental caries‐promoting element due to a high initial calcification process in the bone formation [37, 38]. Also, fluoride is known to be important in suppressing dental caries [33, 34]. It stimulates the proliferation and the differentiation of bone cells [35]. The fluorine ion (F) has been investigated as an essential element for bone and dental formation in the human body [35, 36]. The effect of adding different percentages of MgF2 on the mechanical properties of the TCP‐40 wt% TiO2 composites sintered at 1200°C for different lengths of the sintering time was investigated. The mechanical performances were studied by Vickers indentation, Brazilian test and ultrasound techniques to determine Vickers hardness (H), the mechanical strength (σr) and the elastic moduli (E and G), respectively. The mechanical properties of the TCP‐40 wt% TiO2 composites increase as in terms of the amounts of MgF2. The optimum values (ρ= 94%, σr = 27 MPa, E = 51 GPa, G = 20 GPa and H = 360 Hv) of the TCP‐40 wt% TiO2 composites are attained after the sintering process at 1200°C for 1 h with the addition of 4 wt% MgF2. These values are relatively similar to those of the bone tissues and precisely the enamel [6, 8, 67, 68, 69, 70]. Thus, the enamel is mainly made of the mineral in the calcium phosphate [69, 71]. It is the hardest tissue in the human body because it contains almost no water [69]. For this reason, it is good to get a similar behavior as enamel. In fact, Chun et al. studied the mechanical properties of both enamel and dentin [69].

Therefore, if we compare the value of the strain and stress, enamel tend to fractures earlier than dentin, so it is more brittle than dentine. Nevertheless, if we compare from Vickers hardness value, the enamel is harder than dentine. In fact, dentin was characterized by a higher force resistance while enamel was characterized by a higher wear resistance [69]. The comparison between the previous work derived from the TCP‐40 wt% TiO2 composites and the present work, with adding MgF2 (the TCP‐38 wt% TiO2‐4 wt% MgF2 composites) leads to the same conclusion described between enamel and dentin. However, as far as hardness is considered, the TCP‐38 wt% TiO2‐4 wt% MgF2 composites are considered harder than the TCP‐40 wt% TiO2 composites. Such similarity between the present work and the enamel behaviors allows us to study the performances of the TCP‐38 wt% TiO2‐4 wt% MgF2 composites in biomedical applications and specifically as enamel.

The densification discrepancy of the samples prepared by a mixture of the TCP‐40 wt% TiO2 composites with adding 4 wt% MgF2 (ρ= 94%) and without MgF2 (ρ= 89%) may be due to different phenomena. Thus, the formation of the new compounds and the liquid phase gives rise to the performances of the composites. In general, the very important conditions for the densification by liquid phase sintering are the low viscosity of liquid for fast diffusion of solid through liquid and the solubility of solid to liquid [72] which is responsible for the significant improvement of these properties. Furthermore, several studies have shown the formation of the liquid phase during the sintering process of the tricalcium phosphate/titania system [12, 22]. Thus, Caroff et al. proved that a binary eutectic between the tricalcium phosphate and the titania is relative to this liquid phase [22]. So, in this study, there are two rate‐controlling processes in the liquid phase sintering: the dissolution‐precipitation phenomena which are dominant sintering mechanism in enhancing the densification by smoothing the contact interface and dissolution of the finer particles and the grain rearrangement occurs due to capillary force between particles. These results are confirmed by literature [72]. So, liquid phase sintering helps to fill the pore in the microstructure of the TCP‐TiO2‐MgF2 composites.

Several examples of the mechanical properties of the bone tissues are shown in Table 4 . The optimum value of Vickers hardness of the TCP‐40 wt% TiO2 composites was obtained after the addition of 4 wt% MgF2 (H = 360 Hv). If we compare this result with that of the TCP‐40 wt% TiO2 composites without adding the magnesium fluoride, we notice an increase from 270 to 360 Hv. So, adding 4 wt% MgF2 enhances Vickers hardness of the TCP‐40 wt% TiO2 composites about 90 Hv. This value (H = 360 Hv) is so close to the value of the enamel (340–370 Hv) ( Table 4 ).

MaterialsHa (Hv)Eb (GPa)Gc (GPa)References
Dentin40–7518[6, 8, 69]
Enamel340–37050–82[8, 69, 70]
Thigh bone20[6, 67, 68]
Cortical bone7–25[6, 67, 68]
β‐TCP‐40 wt% TiO2 composites27033.115.7Present work
β‐TCP‐38 wt% TiO2‐4 wt% MgF2 composites3605120Present work

### Table 4.

Literature examples of the mechanical properties of the bone tissues.

Vickers hardness.

Young's modulus.

Shear modulus.

The values of the elastic modulus (E and G) of the TCP‐38 wt% TiO2‐4 wt% MgF2 composites are close to those of the enamel ( Table 4 ). In fact, the optimum values of the Shear modulus (G) and Young's modulus (E) of the composites reached 20 and 51 GPa, respectively. If we compare those values with the elastic modulus of the TCP‐40 wt% TiO2 composites sintered without MgF2, we notice that the elastic corresponding modulus (E and G) of the composites sintered with 4 wt% MgF2 increase generally about 18 GPa for Young's modulus and 4.3 GPa for the Shear modulus.

The evolution of the mechanical properties (E, G, H and σr) of the TCP‐38 wt% TiO2‐4 wt% MgF2 composites with different length of the sintering time is not improved. Thus, the optimum values of the mechanical properties (E = 51 GPa, G = 20 GPa, H = 360 Hv and σr = 27 MPa) are obtained after the sintering process for 1 h. In fact, for longer sintering dwell time, these properties are hindered. Indeed, we can retain that the performances (σr and H) of the TCP‐38 wt% TiO2‐4 wt% MgF2 composites sintered for 300 min or the TCP‐35 wt% TiO2‐10 wt% MgF2 composites sintered for 60 min are improved which is probably due to the formation of the FAp with more quantities in the TCP‐TiO2‐MgF2 composites. Consequently, the MgF2 added to the TCP‐TiO2 composites structure enhances their performances with 4 wt%MgF2.

The diffractograms of the TCP‐40 wt% TiO2 composites sintered at 1200°C with different percentages of MgF2 indicate that the majority of peaks are relative to the rutile phase of titania ( Figure 17 ). The spectrum of the TCP‐40 wt% TiO2 composites sintered without MgF2 proves the presence of traces of CaTiO3 and α‐TCP besides the rutile phase and the β‐TCP. The XRD spectra of the TCP‐TiO2‐MgF2 composites depicts the formation of both fluorapatite (Ca5(PO4)3F) and Mg2(PO4)F which is in agreement with the 31P MAS‐NMR analysis. Thus, the Mg2(PO4)F was obtained only for 2.5, 4 and 4.5 wt% of MgF2 and disappears for higher amounts of MgF2 ( Figure 17 ).This disappearance is attributed to the incorporation of this phase (Mg2(PO4)F) into the calcium phosphate structure by a solid state reaction through the compounds. The interaction between TCP and MgF2 promotes the formation of the Mg2(PO4)F and the fluorapatite (Ca5(PO4)3F) according to the following reaction (Eq. (7)):

2Ca3(PO4)2(s)+2MgF2(s)+TiO2(s)+H2OCa5(PO4)3F(s)+CaTiO3(s)+Mg2(PO4)F(s)+2HF(g)E7

Several previous analyses (XRD and MAS‐NMR) confirm the presence of these compounds [Mg2(PO4)F and Ca5(PO4)3F].

SEM analyses prove that excellent performances are attained with the TCP‐38 wt% TiO2‐4 wt% MgF2 composites sintered at 1200°C for 1 h. In fact, the continuous phases formed and the new compounds accompanied with the liquid phase appearance improved the performances of the TCP‐38 wt% TiO2‐4 wt% MgF2 composites. These results confirm those obtained with the XRD analysis. Thus, the new lamella form detected in the microstructure of the TCP‐38 wt% TiO2‐4 wt% MgF2 composites is probably accorded to the Mg2(PO4)F derived from the solid reaction between MgF2 and TCP according to the previous reaction (Eq. (7)). Above 4 wt% MgF2, the mechanical properties of the TCP‐TiO2‐MgF2 composites were hindered by the grain growth presence and the bubbles form in the microstructure of composites. Those bubbles resulted from the HF gas evaporation according to the reaction (Eq. (7)). The micrograph of the TCP‐35 wt% TiO2‐10 wt% MgF2 composites indicates the hexagonal grain forms relative to the FAp formation. This phenomenon was accelerated by the dissolution‐precipitation phenomena in the liquid phase. Therefore, the liquid phase sintering is used for homogenization and consolidation which presents the advantages of this production method. Thus, the densification of those composites resulted from three processes: the dissolution‐precipitation, the rearrangement and the coalescence. This fact is previously confirmed by literature [72, 73, 74]. Generally, the microstructure of sintered body by liquid phase sintering mode includes secondary phase, which influences the mechanical, chemical and thermal properties.

## 5. Conclusion

The effect of the MgF2 addition on the performances of the TCP‐40 wt% TiO2 composites was studied during the sintering process at 1200°C for different length of the sintering time. The addition of 4 wt% MgF2 to the TCP‐40 wt% TiO2 composites led to a maximum of both the densification and the mechanical properties after the sintering process at 1200°C for 1 h. A notable amelioration in the elastic modulus and Vickers hardness of the TCP‐40 wt% TiO2 composites was attained with 4 wt% MgF2 (E = 51 GPa, G = 20 GPa and H = 360 Hv). The enhancement of the composites properties resulted from the formation of new compounds and the liquid phase which permits to fill the pores in the microstructure. Thus, the microstructure indicates the presence of new lamella form relative to the Mg2(PO4)F and the hexagonal grains relative to FAp. Above 4 wt% MgF2, the properties of the composites are hindered by the grain growth formation and the presence of the bubbles form as a result of the dissolution‐precipitation phenomena.

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© 2018 The Author(s). Licensee IntechOpen. This chapter is distributed under the terms of the Creative Commons Attribution 3.0 License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Ibticem Ayadi and Foued Ben Ayed (February 7th 2018). Sintering of the Tricalcium Phosphate-Titania-Magnesium Fluoride Composites, Sintering of Functional Materials, Igor Shishkovsky, IntechOpen, DOI: 10.5772/intechopen.68501. Available from:

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