Abstract
The thermodynamics of phosphorus distribution between solid silicon and iron-silicon melt was studied to examine the degree of phosphorus removal from silicon by solvent refining with ferrosilicon alloys. The experiments were performed on silicon-iron-phosphorus alloys with ~80 wt pct silicon and ~20 wt pct iron. A phosphorus distribution coefficient, which is defined as the ratio of the mole fraction of phosphorus in solid to that of liquid is as follows: 0.22 ± 0.02 [1583 K (1310 °C)], 0.29 ± 0.02 [1533 K (1260 °C)], and 0.33 ± 0.02 [1483 K (1210 °C)]. The corresponding removal percentages of phosphorus were 86 pct [1583 K (1310 °C)], 75 pct [1533 K (1260 °C)], and 67 pct [1483 K (1210 °C)]. The average phosphorus content of the refined silicon in the current process would be more than two times less than that of the conventional solidification refining techniques. The values of interaction coefficient of phosphorus on iron \( (\varepsilon_{\text{Fe}}^{P} ) \) at different temperatures were obtained as −3460 ± 155 [1583 K (1310 °C)], −3595 ± 159 [1533 K (1260 °C)], and −3694 ± 119 [1483 K (1210 °C)]. The self-interaction parameters of phosphorus \( \left( {\varepsilon_{P}^{P} } \right) \)at different temperatures are as follows: 68 ± 4 [1583 K (1310 °C)], 78 ± 10 [1533 K (1260 °C)], and 103 ± 19 [(1483 K 1210 °C)]. The calculated values for the distribution coefficients of phosphorus at infinite dilution are 0.22 ± 0.00 [1583 K (1310 °C)], 0.30 ± 0.00 [1533 K (1260 °C)], and 0.34 ± 0.00 [1483 K (1210 °C)]. Considering the solid (red phosphorus) standard state for solid silicon, the activity coefficient of phosphorus in solid silicon is estimated as \( {{ln\gamma }}_{\text{P \, in \, solid \, Si}}^{^\circ } = - 17395\left( {\frac{1}{\text{T}}} \right) + 10 \).
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T. Yoshikawa and K. Morita: Sci. Technol. Adv. Mater., 2003, vol. 4, pp. 531–537.
T. Yoshikawa and K. Morita: Metall. Mater. Trans. B, 2005, vol. 36, pp. 731–36.
T. Yoshikawa and K. Morita: EPD Congress, 2005, pp. 549–58.
T. Yoshikawa and K. Morita: J. Cryst. Growth, 2009, vol. 311, pp. 776–79.
T. Yoshikawa and K. Morita: JOM, 2012, vol. 64, no. 8, pp. 946–51.
K. Morita and T. Yoshikawa: Trans. Nonferrous Met. Soc. China, 2011, vol. 21, no. 3, pp. 685–90.
B. Bathey and M.C. Cretella: J. Mater. Sci., 1982, vol. 17, pp. 3077–96.
I. Obinata and N. Komatsu: Sci. Rep. RITU, 1957, vol. A-9, pp. 118–30.
J.L. Gumaste, B.C. Mohanty, R.K. Galgali, U. Syamaprasad, B.B. Nayak, S.K. Singh, and P.K. Jena: Sol. Energy Mater. Sol. Cells, 1987, vol. 16, pp. 289–96.
K. Morita and T. Miki: Intermetallics, 2003, vol. 11, pp. 1111–17.
J. Juneja and T. Mukherjee: Hydrometallurgy, 1986, vol. 16, no. 1, pp. 69–75.
A.M. Mitrainovic and T.A. Utigard: Silicon, 2009, vol. 1, no. 4, pp. 239–48.
A.M. Mitrainovic and T.A. Utigard: Metall. Mater. Trans. B, 2012, vol. 43, no. 2, pp. 379–87.
Z. Yin, A. Oliazadeh, S. Esfahani, M.D. Johnston, and M. Barati: Can. Metall. Q., 2011, vol. 50, no. 2, pp. 166–72.
E. Bonnier, H. Pastor, and J. Driole: Metallurgie, 1965–1966, vol. 7, pp. 299–317.
J. Driole and E. Bonnier: Metallwiss. Tech., 1971, vol. 25, pp. 2–7.
S. Esfahani and M. Barati: Metall. Mater. Int., 2011, vol. 17, no. 5, pp. 823–29.
S. Esfahani and M. Barati: Metall. Mater. Int., 2011, vol. 17, no. 6, pp. 1009–15.
L.T. Khajavi, K. Morita, T. Yoshikawa, and M. Barati: Metall. Mater. Trans. B, 2015, vol. 46, no. 2, pp. 615–20.
L.T. Khajavi, K. Morita, T. Yoshikawa, and M. Barati: J. Alloys. Compd., 2015, vol. 619, pp. 634–38.
S. Fischler: J. Appl. Phys., 1962, vol. 33, pp. 1615–16.
R. Jaccodine and C. Pearce: Proc. Electrochem. Soc., 1983, pp. 115–19.
C.W. Bale, E. Bélisle, P. Chartrand, S.A. Decterov, G. Eriksson, K. Hack, I.H. Jung, Y.B. Kang, J. Melançon, A.D. Pelton, C. Robelin, and S. Petersen: Calphad, 2009, vol. 33, pp. 295-311.
E.R. Weber: Appl. Phys. A, 1983, vol. 30, pp. 1–22.
H. Fredriksson and U. Akerlind: Solidification and Crystallization Processing in Metals and Alloys, Wiley, New York, NY, 2012.
L.T. Khajavi and M. Barati: High Temp. Mater. Process., 2012, vol. 31, nos. 4–5, pp. 627–31.
G.W. Toop: Trans. Metall. Soc. AIME, 1965, vol. 242, pp. 850–5.
A. Zaitsev, A. Litvina, and N. Shelkova: High Temp., 2001, vol. 39, pp. 246–51.
A. Zaitsev, Z. Dobrokhotova, A. Litvina, and B.M. Mogutnov: J. Chem. Soc. Faraday Trans., 1995, vol. 91, pp. 703–12.
J. Miettinen: Calphad, 1998, vol. 22, no. 2, pp. 231–56.
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This research is partly supported by the Natural Sciences and Engineering Research Council of Canada (NSERC).
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Manuscript submitted May 2, 2016.
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Tafaghodi Khajavi, L., Barati, M. Thermodynamics of Phosphorus in Solvent Refining of Silicon Using Ferrosilicon Alloys. Metall Mater Trans B 48, 268–275 (2017). https://doi.org/10.1007/s11663-016-0804-9
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DOI: https://doi.org/10.1007/s11663-016-0804-9