A mathematical model for distribution of calcium in silicon by vacuum directional solidification
Calcium is one of the main impurity elements in silicon. The removal of calcium strongly affects the quality of the polycrystalline silicon ingot produced by a vacuum directional solidification method. Based on the considerations of the theory of segregation, mass transfer and evaporation...
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| Format: | Article |
| Language: | English |
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University of Belgrade, Technical Faculty, Bor
2016-01-01
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| Series: | Journal of Mining and Metallurgy. Section B: Metallurgy |
| Subjects: | |
| Online Access: | http://www.doiserbia.nb.rs/img/doi/1450-5339/2016/1450-53391600012Z.pdf |
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| author | Zheng D. Wei K. Ma W. Sheng Z. Dai Y. |
| author_facet | Zheng D. Wei K. Ma W. Sheng Z. Dai Y. |
| author_sort | Zheng D. |
| collection | DOAJ |
| description | Calcium is one of the main impurity elements in silicon. The removal of
calcium strongly affects the quality of the polycrystalline silicon ingot
produced by a vacuum directional solidification method. Based on the
considerations of the theory of segregation, mass transfer and evaporation
during vacuum directional solidification process, a mathematical model for
calcium distribution in silicon was proposed and it can be used to explain
the removal mechanism. In order to confirm the mathematical model, an
industrial scale experiment on UMG-Si with an initial purity of 99.98 wt. %
was performed. Since the reaction temperature strongly influences both the
evaporation and segregation of calcium, the dependences of effective
segregation coefficient (keff) and the evaporation coefficient (kE) on
temperature were carefully investigated. The results showed that the proposed
mathematical model was highly consistent with the experimental data and the
calcium removal efficiency mainly relied on the evaporation step. |
| format | Article |
| id | doaj-art-32c4b45181fb46bf9626bc00271418ea |
| institution | Kabale University |
| issn | 1450-5339 2217-7175 |
| language | English |
| publishDate | 2016-01-01 |
| publisher | University of Belgrade, Technical Faculty, Bor |
| record_format | Article |
| series | Journal of Mining and Metallurgy. Section B: Metallurgy |
| spelling | doaj-art-32c4b45181fb46bf9626bc00271418ea2025-02-02T20:41:29ZengUniversity of Belgrade, Technical Faculty, BorJournal of Mining and Metallurgy. Section B: Metallurgy1450-53392217-71752016-01-0152215716210.2298/JMMB141203012Z1450-53391600012ZA mathematical model for distribution of calcium in silicon by vacuum directional solidificationZheng D.0Wei K.1Ma W.2Sheng Z.3Dai Y.4Kunming University of Science and Technology, The National Engineering Laboratory for Vacuum Metallurgy and State Key Laboratory of Complex Nonferrous Metal Resources Clean Utilization, P. R. China + Kunming University of Science and Technology, Key LaborKunming University of Science and Technology, The National Engineering Laboratory for Vacuum Metallurgy and State Key Laboratory of Complex Nonferrous Metal Resources Clean Utilization, P. R. ChinaKunming University of Science and Technology, The National Engineering Laboratory for Vacuum Metallurgy and State Key Laboratory of Complex Nonferrous Metal Resources Clean Utilization, P. R. China + Kunming University of Science and Technology, Key LaborChina Aluminum Ningxia Energy Group, Ningxia, P.R. ChinaKunming University of Science and Technology, The National Engineering Laboratory for Vacuum Metallurgy and State Key Laboratory of Complex Nonferrous Metal Resources Clean Utilization, P. R. China + Kunming University of Science and Technology, Key LaborCalcium is one of the main impurity elements in silicon. The removal of calcium strongly affects the quality of the polycrystalline silicon ingot produced by a vacuum directional solidification method. Based on the considerations of the theory of segregation, mass transfer and evaporation during vacuum directional solidification process, a mathematical model for calcium distribution in silicon was proposed and it can be used to explain the removal mechanism. In order to confirm the mathematical model, an industrial scale experiment on UMG-Si with an initial purity of 99.98 wt. % was performed. Since the reaction temperature strongly influences both the evaporation and segregation of calcium, the dependences of effective segregation coefficient (keff) and the evaporation coefficient (kE) on temperature were carefully investigated. The results showed that the proposed mathematical model was highly consistent with the experimental data and the calcium removal efficiency mainly relied on the evaporation step.http://www.doiserbia.nb.rs/img/doi/1450-5339/2016/1450-53391600012Z.pdfvacuum directional solidificationevaporationsilicon meltscalciummathematical model |
| spellingShingle | Zheng D. Wei K. Ma W. Sheng Z. Dai Y. A mathematical model for distribution of calcium in silicon by vacuum directional solidification Journal of Mining and Metallurgy. Section B: Metallurgy vacuum directional solidification evaporation silicon melts calcium mathematical model |
| title | A mathematical model for distribution of calcium in silicon by vacuum directional solidification |
| title_full | A mathematical model for distribution of calcium in silicon by vacuum directional solidification |
| title_fullStr | A mathematical model for distribution of calcium in silicon by vacuum directional solidification |
| title_full_unstemmed | A mathematical model for distribution of calcium in silicon by vacuum directional solidification |
| title_short | A mathematical model for distribution of calcium in silicon by vacuum directional solidification |
| title_sort | mathematical model for distribution of calcium in silicon by vacuum directional solidification |
| topic | vacuum directional solidification evaporation silicon melts calcium mathematical model |
| url | http://www.doiserbia.nb.rs/img/doi/1450-5339/2016/1450-53391600012Z.pdf |
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