Journal of Synthetic Crystals ›› 2026, Vol. 55 ›› Issue (9): 1437-1447.DOI: 10.16553/j.cnki.issn1000-985x.2026.0085
• Research Articles • Previous Articles Next Articles
YANG Pingping(
), LI Shaomeng, YANG Fei, ZHAO Ziwei(
), GAO Mangmang(
)
Received:2026-05-07
Online:2026-09-20
Published:2026-09-29
Contact:
ZHAO Ziwei, GAO Mangmang
CLC Number:
YANG Pingping, LI Shaomeng, YANG Fei, ZHAO Ziwei, GAO Mangmang. Effect of Thermal Shield Position on Melt Flow Field and Oxygen Migration Path[J]. Journal of Synthetic Crystals, 2026, 55(9): 1437-1447.
| Material | Variable | Value |
|---|---|---|
| Silicon Crystal | Specific heat/(J·kg-1·K-1) Heat conductivity/(W·m-1·K-1) Emissivity Density/(kg·m-3) Elastic modulus/Pa | 1 000 98.9-0.09T+2.86×10-5T2 0.9-0.000 26T 2 330 1.653×1011 |
| Silicon melt | Specific heat/(J·kg-1·K-1) Heat conductivity/(W·m-1·K-1) Emissivity Density/(kg·m-3) | 915 66.5 0.3 2 332+0.48T-1.98×10-4T2 |
| Graphite heater | Specific heat/(J·kg-1·K-1) Heat conductivity/(W·m-1·K-1) Emissivity Density/(kg·m-3) | 2 100 146.9-0.177T+1.27×10-4T2-4.69×10-8T3 0.8 1 750 |
| Insulation | Heat conductivity/(W·m-1·K-1) Emissivity | 0.086-7.55e-5T+1.3e-7T2 0.9 |
| Quartz | Heat conductivity/(W·m-1·K-1) Emissivity | 4 0.85 |
| Argon | Specific heat/(J·kg-1·K-1) Heat conductivity/(W·m-1·K-1) Dynamic viscosity/(Pa·s) | 527 0.01+2.5×10-5T 8.466×10-6+5.365×10-8T-8.68×10-12T2 |
Table 1 Physical properties of the materials
| Material | Variable | Value |
|---|---|---|
| Silicon Crystal | Specific heat/(J·kg-1·K-1) Heat conductivity/(W·m-1·K-1) Emissivity Density/(kg·m-3) Elastic modulus/Pa | 1 000 98.9-0.09T+2.86×10-5T2 0.9-0.000 26T 2 330 1.653×1011 |
| Silicon melt | Specific heat/(J·kg-1·K-1) Heat conductivity/(W·m-1·K-1) Emissivity Density/(kg·m-3) | 915 66.5 0.3 2 332+0.48T-1.98×10-4T2 |
| Graphite heater | Specific heat/(J·kg-1·K-1) Heat conductivity/(W·m-1·K-1) Emissivity Density/(kg·m-3) | 2 100 146.9-0.177T+1.27×10-4T2-4.69×10-8T3 0.8 1 750 |
| Insulation | Heat conductivity/(W·m-1·K-1) Emissivity | 0.086-7.55e-5T+1.3e-7T2 0.9 |
| Quartz | Heat conductivity/(W·m-1·K-1) Emissivity | 4 0.85 |
| Argon | Specific heat/(J·kg-1·K-1) Heat conductivity/(W·m-1·K-1) Dynamic viscosity/(Pa·s) | 527 0.01+2.5×10-5T 8.466×10-6+5.365×10-8T-8.68×10-12T2 |
| d/mm | Tmin/K | Tmax/K | Tave/K |
|---|---|---|---|
| 20 | 1 685 | 1 700.9 | 1 691.85 |
| 30 | 1 685 | 1 702.7 | 1 693.11 |
| 40 | 1 685 | 1 704.2 | 1 694.17 |
| 50 | 1 685 | 1 705.5 | 1 695.15 |
| 50 | 1 685 | 1 706.8 | 1 695.98 |
Table 2 Temperature in the melt
| d/mm | Tmin/K | Tmax/K | Tave/K |
|---|---|---|---|
| 20 | 1 685 | 1 700.9 | 1 691.85 |
| 30 | 1 685 | 1 702.7 | 1 693.11 |
| 40 | 1 685 | 1 704.2 | 1 694.17 |
| 50 | 1 685 | 1 705.5 | 1 695.15 |
| 50 | 1 685 | 1 706.8 | 1 695.98 |
| d/mm | Minimum oxygen concentration/ (1017 atoms·cm-3) | Maximum oxygen concentration/ (1017 atoms·cm-3) | Average oxygen concentration/ (1017 atoms·cm-3) | Max-min difference/ (1017 atoms·cm-3) |
|---|---|---|---|---|
| 20 | 8.947 | 10.348 | 10.035 | 1.401 |
| 30 | 9.034 | 10.513 | 10.167 | 1.479 |
| 40 | 9.053 | 10.542 | 10.180 | 1.507 |
| 50 | 9.100 | 10.601 | 10.225 | 1.501 |
| 60 | 9.121 | 10.623 | 10.241 | 1.502 |
Table 3 Radial oxygen concentration of crystal
| d/mm | Minimum oxygen concentration/ (1017 atoms·cm-3) | Maximum oxygen concentration/ (1017 atoms·cm-3) | Average oxygen concentration/ (1017 atoms·cm-3) | Max-min difference/ (1017 atoms·cm-3) |
|---|---|---|---|---|
| 20 | 8.947 | 10.348 | 10.035 | 1.401 |
| 30 | 9.034 | 10.513 | 10.167 | 1.479 |
| 40 | 9.053 | 10.542 | 10.180 | 1.507 |
| 50 | 9.100 | 10.601 | 10.225 | 1.501 |
| 60 | 9.121 | 10.623 | 10.241 | 1.502 |
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