Thermodynamic evaluation and optimization of the Ca−Si system

Heyrman, M.; Chartrand, Patrice

doi:10.1361/154770306x109755

Cited by 18 publications

(19 citation statements)

References 29 publications

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“…The Henrian activity coefficient of calcium in silicon from a recent thermodynamic optimization of the system by Heyrman and Chartrand [30] is also shown in the figure, and it is seen to be in close agreement with the recalculated value from Miki et al [11] For all studies, the activity of CaO is one of the main sources of uncertainty besides the measured calcium concentration in silicon, and the calculated activity coefficient will depend somewhat on the literature selected. The literature values for the activity of CaO are compared in Figure 7.…”

Section: The Henrian Activity Coefficient Of Calcium In Siliconsupporting

confidence: 68%

Thermodynamic Activities and Distributions of Calcium and Magnesium Between Silicon and CaO-MgO-SiO2 Slags at 1873 K (1600 °C)

Jakobsson

Tangstad

2015

Metall Mater Trans B

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The distributions of calcium and magnesium between silicon and CaO-MgO-SiO 2 slags have been determined in the present study at 1873 K (1600°C). The distribution equilibria were used to estimate the activities of the slag components in the binary CaO-SiO 2 and MgO-SiO 2 systems. These activities were used to determine the Henrian activity coefficients of calcium and magnesium in liquid silicon at 1873 K (1600°C). The distribution equilibria were also used to estimate the activity of SiO 2 in the ternary CaO-MgO-SiO 2 system. Finally, the activities of CaO and MgO were estimated in the ternary CaO-MgO-SiO 2 system using the determined Henrian activity coefficients in liquid silicon together with the distribution equilibria and the estimated activities of SiO 2 .

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Section: The Henrian Activity Coefficient Of Calcium In Siliconsupporting

confidence: 68%

Thermodynamic Activities and Distributions of Calcium and Magnesium Between Silicon and CaO-MgO-SiO2 Slags at 1873 K (1600 °C)

Jakobsson

Tangstad

2015

Metall Mater Trans B

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“…[5] B. Si-Ca System [17][18][19][20] The eutectic between silicon and CaSi 2 on the silicon portion is located at T = 1293 K (1020°C) and X Si = 0.72, [20] 1296 K (1023°C) and X Si = 0.69, [21] and 1253 K (980°C) and X Si = 0.704. [22] The liquidus at higher silicon concentrations than eutectic has been determined through measuring the total pressure over the Si-Ca liquids at different temperatures, [21] thermal analysis, and electrical conductivity, [22] using direct weighting Knudsen cell.…”

Section: ½10mentioning

confidence: 99%

Liquidus of Silicon Binary Systems

Safarian

Kolbeinsen

Tangstad

2011

Metall Mater Trans B

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Thermodynamic knowledge about liquid silicon is crucial for the production of solar-grade silicon feedstock from molten silicon. In the current study, liquidus for silicon binary alloys is formulated using a previously developed method in which the liquidus curve is calculated using two constants. The liquidus measurements for the silicon portion of the silicon alloys with Al, Ca, Mg, Fe, Ti, Zn, Cu, Ag, Au, Pt, Sn, Pb, Bi, Sb, Ga, In, Ni, Pd, Mn, and Rh are reviewed, and the consistent data were used to determine the liquidus constants. The liquidus curves for silicon binary systems are calculated and plotted. It is indicated that the calculated liquidus curves fit well with the experimental data. A correlation between the determined liquidus constants is also observed, which can be used to gain a better understanding of the thermodynamics of the silicon binary melts.

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“…Ca, Sr, Ba; B = IVb element = Si, Ge, Sn, Pb). For this purpose, we carried out a brief survey on the recent results of thermodynamic modeling [26][27][28][34][35][36][37][38][39][40][41][42] and rather scarce results of direct calorimetric measurements of the enthalpies of mixing of the liquid A-B alloys. [43][44][45][46][47][48][49][50] For the phase diagrams, we analyzed the general pictures focusing on the characteristic temperatures of melting of the simplest compounds (A 2 B, AB, AB 2 ), temperatures and compositions of A-and B-rich eutectics (Tables 6, 7).…”

Section: Results For the Binary Ca-ge Systemmentioning

confidence: 99%

“…Furthermore, according to the IAS or RAS modeling we made for the Ca-Ge system, x Ã B increases with temperature, approaching values of about 0.5, more consistent with the trends in the A-B matrix. Table 8 Partial mixing enthalpies of components of the A-B systems (A = Mg, Ca, Sr, Ba; B = Si, Ge, Sn, Pb) at infinite dilution A\B Experimental, [43] : 1723-1773 K, [44] ; 705 K, [45] ; 775 K, [46] ; 1550-1835 K Assessed [26][27][28][34][35][36][37][38]42] Miedema model [31] Si [47,50] 17 [50] 53 64 31 17 39 58 31 28 Ca 144 [43] ; 90 [46] 124 [43] ; 176 [6] 94 [43] ; 134 [44] ; 127 [45] ; 105 [46] 100 [49] 130 137 148 105 165 217 179 201 Sr 154 [43] 133 [43] 115 [43] ; 153 [44] ; 147 [45] 137 140 129 169 239 202 236 Ba 166 [43] 148 [43] 115 [43] ; 175 …”

Section: Results For the Binary Ca-ge Systemmentioning

confidence: 99%

See 1 more Smart Citation

Thermodynamic Properties of Alloys in the Binary Ca–Ge System

Shevchenko

Иванов

Berezutski

et al. 2015

J. Phase Equilib. Diffus.

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Mixing enthalpies of the liquid alloys in the binary Ca-Ge system were measured by isoperibolic solution calorimetry within the concentration ranges 0 < x Ge < 0.08 at 1270-1300 K, and 0.54 < x Ge < 1 at 1370-1520 K. The experimental data show great exothermic effects of alloy formation; the partial mixing enthalpies at infinite dilution of the components are DH 1 Ca = 2138 to 2140 kJ mol 21 and DH 1 Ge = 2200 kJ mol 21 (at 1300 K). The Gibbs energies and entropies of mixing, activities of the components, and molar fractions of associates in the melts were calculated over a wide temperature range, using models of ideal and regular associated solutions, according to the data in literature for the thermodynamic properties of solid alloys and the phase diagram of the Ca-Ge system.

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Thermodynamic evaluation and optimization of the Ca−Si system

Cited by 18 publications

References 29 publications

Thermodynamic Activities and Distributions of Calcium and Magnesium Between Silicon and CaO-MgO-SiO2 Slags at 1873 K (1600 °C)

Thermodynamic Activities and Distributions of Calcium and Magnesium Between Silicon and CaO-MgO-SiO2 Slags at 1873 K (1600 °C)

Liquidus of Silicon Binary Systems

Thermodynamic Properties of Alloys in the Binary Ca–Ge System

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