<p>The study of diffusive mass transfer of impurity phosphorus (P) in silicon melts was a crucial aspect of achieving efficient deep P removal. To elucidate the mass transfer mechanism of P in silicon melts, this paper presents a kinetic analysis of impurity P removal from silicon melts. To minimize the effects of convection on diffusion, a capillary diffusion device was employed to conduct experimental investigations of P diffusion in silicon melts at different temperatures. According to slag–silicon refining experiments, the mass transfer process of P between the silicon melt and the slag phase was characterized and the mass transfer coefficient of P in the silicon melt was calculated. The experimental results indicated that the diffusion coefficients of P in silicon melt at 1450 °C, 1500 °C, and 1550 °C were 2.81 × 10<sup>−8</sup>, 3.24 × 10<sup>−8</sup>, and 3.91 × 10<sup>−8</sup> m<sup>2</sup>·s<sup>−1</sup>, respectively. Through the calculation of the activation energy for P diffusion, the relationship between the diffusion coefficient and temperature was determined as <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11663_2025_3511_Article_IEq1.gif" Format="GIF" Height="22" Rendition="HTML" Resolution="72" Type="Linedraw" Width="177" /> </InlineMediaObject> <EquationSource Format="TEX">\(D=1.23\times {10}^{-5}\cdot {\text{e}}^{-\frac{\text{87,260}}{RT}}\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>D</mi> <mo>=</mo> <mn>1.23</mn> <mo>×</mo> <msup> <mrow> <mn>10</mn> </mrow> <mrow> <mo>-</mo> <mn>5</mn> </mrow> </msup> <mo>·</mo> <msup> <mrow> <mtext>e</mtext> </mrow> <mrow> <mo>-</mo> <mfrac> <mtext>87,260</mtext> <mrow> <mi mathvariant="italic">RT</mi> </mrow> </mfrac> </mrow> </msup> </mrow> </math></EquationSource> </InlineEquation>. At a refining temperature of 1550 °C, the mass transfer coefficient of P in the silicon melt was found to be 2.11 × 10<sup>−5</sup> m·s<sup>−1</sup> when calcium silicate slag was used for slag refining. These findings provided essential kinetic data, including diffusion and mass transfer coefficients, to support the advanced removal of impurity P from metallurgical-grade silicon (MG-Si).</p>

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Diffusion and Mass Transfer of Impurity P in the Purification of Metallurgical-Grade Silicon Using Calcium Silicate Slag

  • Ya Zhao,
  • Jijun Wu,
  • Wenhui Ma

摘要

The study of diffusive mass transfer of impurity phosphorus (P) in silicon melts was a crucial aspect of achieving efficient deep P removal. To elucidate the mass transfer mechanism of P in silicon melts, this paper presents a kinetic analysis of impurity P removal from silicon melts. To minimize the effects of convection on diffusion, a capillary diffusion device was employed to conduct experimental investigations of P diffusion in silicon melts at different temperatures. According to slag–silicon refining experiments, the mass transfer process of P between the silicon melt and the slag phase was characterized and the mass transfer coefficient of P in the silicon melt was calculated. The experimental results indicated that the diffusion coefficients of P in silicon melt at 1450 °C, 1500 °C, and 1550 °C were 2.81 × 10−8, 3.24 × 10−8, and 3.91 × 10−8 m2·s−1, respectively. Through the calculation of the activation energy for P diffusion, the relationship between the diffusion coefficient and temperature was determined as \(D=1.23\times {10}^{-5}\cdot {\text{e}}^{-\frac{\text{87,260}}{RT}}\) D = 1.23 × 10 - 5 · e - 87,260 RT . At a refining temperature of 1550 °C, the mass transfer coefficient of P in the silicon melt was found to be 2.11 × 10−5 m·s−1 when calcium silicate slag was used for slag refining. These findings provided essential kinetic data, including diffusion and mass transfer coefficients, to support the advanced removal of impurity P from metallurgical-grade silicon (MG-Si).