Table 1. Best-fit polynomial approximation data for the thermal conductivity curves displayed in Fig 7.
DMSO Concentration | Temperature Range | Polynomial Approximation, °C | R2 value |
---|---|---|---|
2M | -180.0°C … -9.4°C | 7.63×10–10 T4+1.60×10–7 T3+9.58×10–6 T2-6.01×10-3T+1.32 | 0.981 |
-9.4°C … -0.2°C | 1.41 ×10–3 T2-6.86 ×10-2T+6.06×10–1 | 0.991 | |
3M | -180.0°C … -17.5°C | -1.55×10–9 T4-5.81×10–7 T3-8.01×10–5 T2-9.82×10-3T+9.00×10–1 | 0.996 |
-17.5°C … -11.5°C | -3.97×10–3 T2-1.40×10-1T-1.84×10–1 | * | |
-11.5°C … -5.4°C | -3.47×10–3 T2-1.25×10-1T-7.92×10–2 | * | |
-5.4°C … +18.2°C | 1.94 ×10–3 T+5.04 ×10–1 | * | |
4M | -180.0°C … -24.2°C | -1.44×10–9 T4-6.42×10–7 T3-1.08×10–4 T2-1.16×10-2T+5.67×10–1 | 0.997 |
-24.2°C … -17.3°C | -2.11×10–3 T2-1.06×10–1 T-5.35×10–1 | * | |
-17.3°C … -13.6°C | -1.97×10–4 T3-1.51×10–2 T2-3.89×10-1T-2.56 | * | |
-13.6°C … +8.4°C | -1.93×10–3 T+4.58×10–1 | * | |
5M | -180.0°C … -32.7°C | -4.48×10–10 T4-2.76×10–7 T3-6.58×10–5 T2-1.16×10-2T+4.45×10–1 | 0.997 |
-32.7°C … -19.2°C | -9.77×10–4 T2-7.15 ×10-2T-6.00×10–1 | * | |
-19.2°C … +20.6°C | 1.23×10–3 T+4.34×10–1 | 0.916 | |
6M | -180.0°C … -47.3°C | -6.65×10–10 T4-3.94×10–7 T3-1.01×10–4 T2-1.31×10-2T+9.31×10–2 | 0.971 |
-47.3°C … -37.7°C | -3.85×10–4 T2-3.97×10-2T-4.91×10–1 | * | |
-37.7°C … -32.0°C | -6.27×10–4 T2-5.98×10-2T-9.06×10–1 | * | |
-32.0°C … +18.5°C | 9.25×10–4 T+3.96×10–1 | 0.932 | |
7.05M | -180.0°C … +25.5°C | -2.95×10–10 T4-6.87×10–8 T3-1.29×10-6T2+7.42×10-4T+3.56×10–1 | 0.982 |
8M | -180.0°C … +17.2°C | -2.41×10–10 T4-5.76×10–8 T3-2.31×10-6T2+5.57×10-4T+3.23×10–1 | 0.989 |
9M | -180.0°C … +22.3°C | -2.02×10–10 T4-4.57×10–8 T3-1.90×10-6T2+3.25×10-4T+3.01×10–1 | 0.948 |
10M | -180.0°C… +13.8°C | -1.14×10–10 T4-1.50×10–8 T3+1.07×10-6T2+3.74×10-4T+2.87×10–1 | 0.987 |
* A dataset consisting of fewer than ten data points