Phase Transformations in Dicalcium Silicate: I, Fabrication and Phase Stability of Fine-Grained β Phase

Fine-grained β-Ca₂SiO₄ containing small amounts of sodium was fabricated as an analogue to tetragonal zirconia polycrystals (TZP) in order to study the stress-induced β→γ transformation. This avoided the problems associated with the fabrication and evaluation of composites containing β-Ca₂SiO₄. The microstructure of dense β-Ca₂SiO₄ exhibited severe intergranular strains and twin-terminating microcracks as seen by TEM. The β-phase twin widths were quantitatively correlated with grain sizes giving an average ratio of 0.04. Stress-induced transformation was observed on ground surfaces but not on fracture surfaces. The stress–strain behavior and the mechanical properties were consistent with stress-induced microcracking and microcrack coalescence. The elastic modulus of fully dense β phase was estimated to be 123 GPa.     

Thermal Hysteresis for the α'L↫β Transformations in Strontium Oxide-Doped Dicalcium Silicates

A series of Sr-bearing Ca₂SiO₄ solid solutions (C₂S( ss )), (Sr _x Ca_1−x)₂SiO₄ with 0 ≤ x ≤ 0.12, was prepared. They were examined by high-temperature powder X-ray diffractome-try to determine the start and finish temperatures of the α'_L-to-β and β-to-α'_L martensitic transformations. The thermal hysteresis was positive with x < 0.045, nearly equal to zero at x = 0.045, and negative with x > 0.045. The zero and negative hysteresis were consistent with the thermoelasticity of the transformations. With increasing x from 0.02 to 0.08, the hysteresis decreased steadily from positive to negative, suggesting a continuous increment in the stored elastic energy.     

Physical Stabilization of the β→γ Transformation in Dicalcium Silicate

It has been shown that the monoclinic β -phase of dicalcium silicate (Ca₂SiO₄) can be stabilized against transformation to the orthorhombic γ -phase by physical rather than chemical factors. Stabilization was studied in different types of microstructures fabricated under various processing conditions such as different powder or grain sizes, chemical additives, cooling kinetics, or high-temperature annealing treatments. The observations can be explained in terms of a critical particle size effect controlling nucleation of the transformation. Rapid quenching through the high-temperature hexagonal ( α ) to orthorhombic ( a' _H) transformation at 1425°C, which is accompanied by a −4.7% volume decrease, causes periodic fracture of β -twins due to accumulated strains. Chemical doping with K₂O or Al₂O₃ promotes the formation of amorphous phases which mold themselves around β -Ca₂SiO₄ grains. Annealing treatments cause crystallization of the glass and subsequent transformation to the γ -phase.     

Transformation Toughening in Composites Containing Dicalcium Silicate

By taking into account solid-state Compatibility relations in the system CaO-SiO₂-ZrO₂, a series of dense, tough CaZrO₃-β-Ca₂SiO₄ composites were obtained. The increase in K_IC and σ_f values observed is interpreted in terms of the β-Ca₂SiO₄→γ-Ca₂SiO₄ polymorphic transformation.     

Influence of Anisotropy and Water Vapor on the Solid-State Reaction of CaO and Beta Quartz

The kinetics of the solid-state reaction of CaO and β-quartz were studied between 1000° and 1200°C in wet and dry N₂. Parabolic kinetics were observed in all cases; Ca₂SiO₄ was the only reaction product. The reaction was faster on the basal plane of the β-quartz than on the prism plane, and although moisture enhanced the reaction rates on both planes, the enhancement of the basal-plane reaction was significantly higher. Activation energies and results of marker experiments indicated that Ca²⁺ diffusion in the product was rate-controlling and that α-Ca₂SiO₄ possibly formed on the basal plane of the β-quartz and α'-Ca₂SiO₄ on the prism plane. A model for the observed kinetic enhancement in the presence of moisture is proposed on the basis of creation of interstitial Ca²⁺ sites in the products.     

High-Temperature, High-Pressure X-ray Investigation of Dicalcium Silicate

Energy-dispersive X-ray powder diffraction experiments have been investigated at high temperature and room pressure, and at high pressure and room temperature, starting from either γ- or β-Ca₂SiO₄. High-temperature studies were performed up to 1980 K, using a versatile heating cell. The high-temperature phase transformations previously described were reexamined. Volume and linear thermal expansions were measured for each Ca₂SiO₄ polymorph, γ, β, α';_L,α';_H, and α. Volume thermal expansion increases with increasing temperature except for α';_H, whose thermal expansion tends to decrease at elevated temperature. High-pressure investigations were performed in the 0–15 GPa pressure range, using a diamond anvil cell, with silicon oil as the pressure-transmitting medium. The value of the room-pressure bulk modulus K₀ , assuming a second-order BirchMurnaghan equation of state with K'₀= 4, is 140(8) GPa for γ-Ca₂SiO₄. The γ olivine form exhibits anisotropic compression, with the c axis as the most compressible. From such in situ high-pressure X-ray investigations, the γ-→Ca₂SiO₄ phase transformation induced by cold compression is clearly evidenced and extends from 2 to about 5 GPa.     

Phase Transformations in Dicalcium Silicate: II, TEM Studies of Crystallography, Microstructure, and Mechanisms

The crystallography, microstructures, and phase transformation mechanisms in dicalcium silicate (Ca₂SiO₄) were studied by TEM. Three types of superlattice structures were observed in the α'_L and β phases. Almost all β grains were twinned and strained. Symmetry-related domain structures inherited from previous high-temperature transformations were observed in β grains. Both the α→α'_H and α'_L→β transformations were considered to be ferroelastic, and spontaneous strains were calculated. In terms of the crystal structures, the major driving force for the β→γ transformation is proposed to be strains and cation charge repulsions in the β structure. This mechanism can be displacive, but it needs to overcome a comparatively high energy barrier.     

Effect of Substituent Ions on Martensitic Transformation Temperatures in Dicalcium Silicate Solid Solutions

Five types of Ca₂SiO₄ solid solutions, doped with either P⁵⁺, Ge⁴⁺, Fe³⁺, Mg²⁺, or Ba²⁺, were prepared and examined by high-temperature X-ray diffractometry up to 800°C. The starting and finishing temperatures were determined for the α'_L-to-β martensitic transformation during cooling and the reverse (β-to-α'_L) transformation during heating. These four types of transformation temperatures for the preparations doped with either P⁵⁺ or Ge⁴⁺ steadily decreased with increasing substituted fraction. The effect of the substitution on the decrease for each transformation temperature was quantitatively evaluated by Δ T / x , where Δ T is the difference in the transformation temperatures between the solid solutions and pure Ca₂SiO₄, and x represents the fraction substituted for Si⁴⁺ or Ca²⁺ in the α'_L-phase structure. The evaluated value for the substitution of P⁵⁺ was more than 3 times that of Ge⁴⁺. The effect of the substituent ions mentioned above, together with Na⁺ and Sr²⁺, on the lowering of the starting temperature of the α'_L-to-β transformation was principally determined by the differences in the ionic radius between the interchanging cations.     

The Join Ca2SiO4-CaMgSiO4

New data obtained on the join Ca₂SiO₄-CaMgSiO₄ established a limit of crystalline solubility of Mg in α-Ca₂SiO₄ corresponding to the composition Ca_1.90Mg_0.10SiO₄ at 1575°C. The α-α'Ca₂SiO₄ inversion temperature is lowered from 1447° to 1400°C by Mg substitution in the lattice. α'-Ca₂SiO₄ takes Mg into its lattice up to the composition Ca_1.94Mg_0.06SiO₄ at 1400°C and to Ca_1.96Mg_0.04SiO₄ at 900°C. A new phase (T) reported previously by Gutt, with the approximate composition Ca_1.70Mg_0.30SiO₄, was stable between 979° and 1381°C, and should be stable at liquidus temperatures in multicomponent systems involving CaO–MgO–SiO₂.     

New Approach to the β→α Polymorphic Transformation in Magnesium-Substituted Tricalcium Phosphate and its Practical Implications

The transformation β→α in Mg-substituted Ca₃(PO₄)₂ was studied. The results obtained showed that, contrary to common belief, there is, in the system Mg₃(PO₄)₂–Ca₃(PO₄)₂, a binary phase field where β+α-Ca₃(PO₄)₂ solid solutions coexist. This binary field lies between the single-phase fields of β- and α-Ca₃(PO₄)₂ solid solution in the Ca₃(PO₄)₂-rich zone of the mentioned system. In the light of the results and the Palatnik–Landau's Contact Rule of Phase Regions, a corrected phase equilibrium diagram has been proposed. The practical implications of these findings with regard to the synthesis of pure α- and β- Mg-substituted Ca₃(PO₄)₂ powders and to the sintering of related bioceramics with improved mechanical properties are pointed out.     

Polymorphism of Calcium Orthosilicate

Therecentobservation of orthorhombic α'-Ca₂Si0₄ (bredigite) at all temperatures between about 850° and 1450°C. leads to a rational interpretation of the polymorphism of this substance, which is very satisfactory from the crystal-chemical point of view. The so-called β phase, of as yet unknown, complex structure, exists only meta-stably, and not above but below about 675°C, where γ is the stable phase. The monotropic β phase forms on cooling from α'near 675°C. as the result of the inhibition of the α'→γ inversion, at 850°C. The inhibition is caused by the need for a considerable atomic rearrangement and a 12% volume increase which accompanies the change of the coordinations CaO₂ and CaOlo, in α', to CaO₆, in γ. Among the solid phase equilibria with, Mg₂SiO₄ and Ca₃(PO₄)₂, unlimited solid solubility between γ-Ca₂SiO₄ and Mg₂SiO₄ is predicted, whereas the solubility of Mg₂SiO₄ is a limited one in α'and still more so in a-Ca₂SiO₄, as a result of the substitution, for calcium, of the smaller magnesium.     

Anisotropic Thermal Expansion of β-Ca2SiO4 Monoclinic Crystal

Crystals of β-Ca₂SiO₄ (space group P 12₁/ n 1) were examined by high-temperature powder X-ray diffractometry to determine the change in unit-cell dimensions with temperature up to 645°C. The temperature dependence of the principal expansion coefficients (α_i) found from the matrix algebra analysis was as follows: α₁= 20.492 × 10⁻⁶+ 16.490 × 10⁻⁹ ( T - 25)°C⁻¹, α₂= 7.494 × 10⁻⁶+ 5.168 × 10⁻⁹( T - 25)°C⁻¹, α₃=−0.842 × 10⁻⁶− 1.497 × 10⁻⁹( T - 25)°C⁻¹. The expansion coefficient α₁, nearly along [302] was approximately 3 times α₂ along the b -axis. Very small contraction (α₃) occurred nearly along [     01]. The volume changes upon martensitic transformations of β↔α_L' were very small, and the strain accommodation would be almost complete. This is consistent with the thermoelasticity.     

Analytical Electron Microscopy of Cement Pastes: IV, β-Dicalcium Silicate Pastes

Analyses of 225 particles of C-S-H in ground and redispersed pastes of β-Ca₂SiO₄ hydrated for 7 days to 22 years gave a mean Ca/Si ratio of 1.38 with a range of 1.1 to 1.6. The mean Ca/Si ratio is substantially constant over the period studied and is lower than that of 1.52 found by the same method for Ca₃SiO₅ pastes.     

Synthesis and Structure Refinement of Zinc-Doped β-Tricalcium Phosphate Powders

Zinc substituted β-tricalcium phosphate [β-Ca₃(PO₄)₂] was formed by substituting a zinc precursor in calcium-deficient apatite through aqueous precipitation technique. Heat treatment at 1000°C led to the formation of well crystalline β-Ca₃(PO₄). Refinement technique was used to determine the influence of incorporated zinc in the β-Ca₃(PO₄) structure. The structural data for all the four different zinc substituted β-Ca₃(PO₄) ranging from 0–9 mol% of zinc investigated in the present study confirmed the rhombohedral structure of β-Ca₃(PO₄) in the hexagonal setting (space group R 3 c ). The incorporation of lower sized Zn²⁺ (0.745 Å for sixfold coordination with O) at the higher sized Ca²⁺ (1.00 Å for sixfold coordination with O) site in the β-Ca₃(PO₄) structure led to the contraction of unit cell parameters. The added zinc prefers to occupy the Ca(5) site of β-Ca₃(PO₄) structure.     

Phase Stability Study on the Remelting Reaction in Ca2SiO4 Solid Solutions

A pseudobinary phase equilibrium diagram has been established for the P₂O₅-bearing Ca₂SiO₄-CaFe₄O₇ system to confirm the occurrence of remelting reaction in α-Ca₂SiO₄ solid solutions (C₂S(ss)). The reaction started at 1290°C immediately after the α-to-α'_H transition and finished at 1145°C. The reaction products were made up of about 1 wt% of liquid and 99 wt% of solid α'_H-C₂S(ss). The liquid exsolved at 1290°C was rich in Fe₂O₃, consisting of about 30 wt% of Ca₂SiO₄ and 70 wt% of CaFe₄O₇. The liquid coexisting with α-C₂S(ss) precipitated new α'-phase crystals in association with the remelting reaction.     

Hydration in the System Ca2SiO4–Ca3(PO4)2 at 90°C

Compositions along the Ca₂SiO₄–Ca₃(PO₄)₂ join were hydrated at 90°C. Mixtures containing 15, 38, 50, 80, and 100 mol% Ca₃(PO₄)₂ were fired at 1500°C, forming nagelschmidtite + a ¹-CaSiO₄, A -phase and silicocarnotite and a -Ca₃(PO₄)₂, respectively. Hydration of these produces hydroxylapatite regardless of composition. Calcium silicate hydrate gel is produced when Ca₂SiO₄≠ 0 and portlandite when Ca₂SiO₄ is >50%. Relative hydration reactivities are a -Ca₃(PO₄)₂ > nagelschmidtite > α ¹-Ca₂SiO₄ > A -phase > silicocarnotite. Hydration in the presence of silica or lime influences the amount of portlandite produced. Hydration in NaOH solution produces 14-A tobermorite rather than calcium silicate hydrate gel.     

Preparation of Dicalcium Siliciate at 950°C

β-Ca₂Si0₄ can be obtained from a mixture ofCaC₂O₄-H₂O and amorphous silica by firing at 950°C as opposed to a normal sintering temperature around 1450°C. If CaCO₃ is used instead of CaC₂O₄·H₂O, four repeated firings under CO₂ atmosphere are needed to obtain β-Ca₂SiO₄. The role of CO₂ atmosphere during firing and the influence of specific surface of reactanm on the rate of reaction are discussed.     

Solid Solubility and Polymorphism in the System Sr2SiO4-Sr2GeO4-Ba2GeO4-Ba2SiO4

The reciprocal salt pair Sr₂SiO₄-Sr₂GeO₄-Ba₂GeO₄-Ba₂SiO₄ was investigated using X-ray powder diffraction and DTA. Unlimited solubility in the low-K₂SO₄ structure type (α') occurs throughout the system above 85°C. The nonlinear changes of some lattice constants of the solid solutions are discussed. A stable monoclinic low-temperature (β) form of Sr₂SiO₄ was found which converts reversibly to the high-temperature α'-modification at 85°C. The enthalpy of the β-α' transition is 51 cal/mol. In the reciprocal salt pair the β-form solid solutions occur in a very narrow region below 85°C.     

Sinterability of β-Calcium Orthophosphate Powder Prepared by Spray-Pyrolysis

Mixed solutions of Ca(NO₃)₂ and (NH₄)₂HPO₄ with Ca/P = 1.50 were spray-pyrolyzed at 600°C to produce β-calcium orthophosphate (β-Ca₃(PO₄)₂) powder; the spray-pyrolyzed powder was ground and then calcined at 600°C for 1 h. The best crystalline β-Ca₃(PO₄)₂ powder was obtained from the solution with 1.80 mol.L^–1 Ca(NO₃)₂, 1.20 mol.L^–1 (NH₄)₂HPO₄. The resulting powder was composed of primary particles with sizes of <0.5 μm. Dense β-Ca₃(PO₄)₂ ceramics with a relative density of 96.1% could be fabricated by firing this compressed powder at 1070°C for 5 h.     

Mechanical Properties and Microstructure of Ca2SiO4–CaZrO3 Composites

Three types of dicalcium silicate (Ca₂SiO₄–calcium zirconate (CaZrO₃) composites were fabricated and their microstructures correlated with their mechanical properties. In the first type, Ca₂SiO₄ was added as a minor phase. The second type consisted of a 50 vol% Ca₂SiO₄-50 vol% CaZrO₃ mixture, while in the third type, CaZrO₃ constituted the minor phase. Pure CaZrO₃ was also studied as a control and found to have a toughness which depended on its grain size. In composites with Ca₂SiO₄ as the minor phase, a toughness increase was observed and found to be a function of matrix grain size. The composite with the second type of microstructure had the highest toughness of about 4.0 Mpa. m^1/2, which was about double that of the monolithic CaZrO₃. No evidence was found for transformation toughening by the orthorhombic (β) to monoclinic (γ) transformation in Ca₂SiO₄. The main toughening mechanisms identified were crack deflection and crack branching. Microstructural observations indicated the existence of weak grain boundaries in CaZrO₃ agglomerates as well as weak interfaces between the two phases.