Table 1. Best-fit polynomial approximation coefficients for thermal conductivity data displayed in Figs 4 and 5, where average values are listed in cases where the span of the polynomial approximation is smaller than two standard deviations of the experimental data over the relevant temperature range (denoted by †).
CPA | Additive | H1 | Temperature Range, °C | a0 | A1 | a2 | a3 | a4 | R2 |
---|---|---|---|---|---|---|---|---|---|
VS55 | None | -2.5 | -180 … -119 | 4.08×10−1 | 5.49×10−4 | 0.821 | |||
-98 … -72 and -37 … 0 | 3.53×10−1 | 3.51×10−4 | 0.900 | ||||||
-5 | -180 … -125 | 4.03×10−1 | 5.05×10−4 | 0.920 | |||||
-93 … -73 and -38 … 0 | 3.52×10−1 | 3.27×10−4 | 0.936 | ||||||
14 mg Fe/mℓ solution (IONP) | -2.5 | -180 … -121 | 4.40×10−1 | 5.81×10−4 | 0.895 | ||||
-101 … -71 | 3.56×10−1† | - | - | ||||||
-32 … 0.0 | 3.71×10−1 | 5.22×10−4 | 0.794 | ||||||
-5 | -180 … -121 | 4.39×10−1 | 5.95×10−4 | 0.930 | |||||
-102 … -77 and -35 … 0 | 3.72×10−1 | 2.91×10−4 | 0.704 | ||||||
11 mg Fe/mℓ solution (sIONP) | -2.5 | -180 … -123 | 4.30×10−1 | 7.30×10−4 | 0.829 | ||||
-5 | -180 … -116 | 4.40×10−1 | 8.16×10−4 | 0.927 | |||||
-96 … -77 and -34 … 0 | 3.74×10−1 | 4.59×10−4 | 0.892 | ||||||
M22 | None | -2.5 | -180 … -121 | 3.59×10−1 | 5.72×10−4 | 0.499 | |||
-87 … 0 | 3.21×10−1 | 4.82×10−4 | 0.718 | ||||||
-5 | -180 … -116 | 3.99×10−1 | 5.82×10−4 | 0.938 | |||||
-95 … 0 | 3.11×10−1 | 8.48×10−5 | 0.415 | ||||||
11 mg Fe/mℓ solution (sIONP) | -2.5 | -180 … -119 | 4.45×10−1 | 8.31×10−4 | 0.965 | ||||
-91 … 0 | 3.34×10−1† | - | - | ||||||
-5 | -180 … -121 | 4.55×10−1 | 9.08×10−4 | 0.781 | |||||
-105 … -61 | 3.33×10−1† | - | - | ||||||
DP6 | 0.5 M Sucrose | -2.5 | -180 … -108 | 3.91×10−1 | 4.96×10−4 | 0.887 | |||
-78 … 0 | 3.14×10−1† | - | - | ||||||
-5 | -180 … -114 | 3.97×10−1 | 5.12×10−4 | 0.939 | |||||
18 mg Fe/mℓ solution (IONP) | -1 | -180 … -26 | -7.89×10−2 | -2.35×10−2 | -2.20×10−4 | -9.41×10−7 | -1.49×10−9 | 0.956 | |
-25 … 0 | 3.75×10−1 | 5.49×10−4 | - | - | - | 0.414 | |||
-2.5 | -180 … -104 | 6.62×10−1 | 6.51×10−4 | - | - | - | 0.661 | ||
-68 … -21 | 4.78×10−2 | -2.42×10−2 | -4.22×10−4 | -3.44×10−6 | -9.57×10−9 | 0.951 | |||
-5 | -180 … -118 | 4.70×10−1 | 5.12×10−4 | 0.735 | |||||
-17 … 0 | 3.24×10−1 | -4.49×10−4 | 0.645 | ||||||
-5 | -180 … -116 | 5.44×10−1† | - | - | |||||
-23 … 0 | 3.54×10−1 | 5.73×10−4 | 0.572 | ||||||
-7.5 | -180 … -112 | 4.24×10−1 | 5.50×10−4 | 0.936 | |||||
-24 … 0 | 3.64×10−1† | - | - | ||||||
11 mg Fe/mℓ solution (sIONP) | -2.5 | -180 … -116 | 5.28×10−1 | 1.20×10−3 | 0.562 | ||||
-5 | -180 … -112 | 4.29×10−1 | 7.82×10−4 | 0.943 | |||||
-92 … -73 and -27 … 0 | 3.64×10−1 | 3.23×10−4 | 0.833 |
The fit for thermal conductivity is in the form k = a4T4+a3T3+a2T2+a1T+ a0.