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. 2021 Apr 12;11(22):13396–13408. doi: 10.1039/d1ra01467f

Activation energy values for different solid-state thermal degradation mechanisms based on Coats–Redfern method17.

Region Reaction model g(α) 10 °C min−1 20 °C min−1 30 °C min−1 40 °C min−1 Average E-values
E, kJ mol−1 R 2 E, kJ mol−1 R 2 E, kJ mol−1 R 2 E, kJ mol−1 R 2 E, kJ mol−1 R 2
I A2 [−ln(1 − α)]1/2 37.35 0.99 37.46 0.99 40.15 0.99 39.28 0.99 38.56 0.99
A3 [−ln(1 − α)]1/3 21.76 0.98 21.76 0.99 23.52 0.99 22.91 0.99 22.49 0.99
A4 [−ln(1 − α)]1/4 13.96 0.98 13.91 0.99 15.20 0.99 14.72 0.99 14.45 0.98
F0 α 73.09 0.98 73.49 0.98 78.30 0.98 76.83 0.99 75.43 0.98
F1 −ln(1 − α) 84.15 0.99 84.56 0.99 90.04 0.99 88.38 0.99 86.78 0.99
F2 [1 − 1/(1 − α)]/−1 96.56 1.00 96.96 1.00 103.19 1.00 101.32 1.00 99.51 1.00
F3 [1 − 1/(1 − α)2]/−2 110.27 1.00 110.67 1.00 117.72 1.00 115.62 1.00 113.57 1.00
F4 [1 − 1/(1 − α)3]/−3 125.22 1.00 125.61 1.00 133.56 1.00 131.22 1.00 128.90 1.00
F5 [1 − 1/(1 − α)4]/−4 141.30 0.99 141.68 0.99 150.60 0.99 148.00 0.99 145.39 0.99
F5.5 [1 − 1/(1 − α)4.5]/−4.5 149.73 0.99 150.10 0.99 159.53 0.99 156.79 0.99 154.04 0.99
D1 α 2 155.61 0.98 156.62 0.99 166.35 0.99 163.49 0.99 160.52 0.99
D2 (1 − α)ln(1 − α) + α 162.56 0.99 163.57 0.99 173.71 0.99 170.74 0.99 167.65 0.99
D3 [1 − (1 − α)1/3]2 170.08 0.99 171.09 0.99 181.68 0.99 178.58 0.99 175.36 0.99
D4 [1 − (2/3)α] − (1 − α)2/3 165.07 0.99 166.07 0.99 176.36 0.99 173.36 0.99 170.21 0.99
R2 1 − (1 − α)1/2 78.45 0.99 78.86 0.99 84.00 0.99 82.43 0.99 80.94 0.99
R3 1 − (1 − α)1/3 80.32 0.99 80.72 0.99 85.97 0.99 84.38 0.99 82.85 0.99
II A2 [−ln(1 − α)]1/2 8.76 0.91 8.98 0.96 8.90 0.97 8.00 0.95 8.66 0.95
A3 [−ln(1 − α)]1/3 2.37 0.61 2.43 0.79 2.35 0.84 1.70 0.67 2.21 0.73
A4 [−ln(1 − α)]1/4
F0 α 12.82 0.89 13.20 0.94 13.15 0.96 12.07 0.94 12.81 0.93
F1 −ln(1 − α) 27.93 0.96 28.61 0.98 28.56 0.99 26.89 0.98 28.00 0.98
F2 [1 − 1/(1 − α)]/−1 48.64 0.98 49.70 0.99 49.64 1.00 47.18 0.99 48.79 0.99
F3 [1 − 1/(1 − α)2]/−2 74.47 0.99 75.99 1.00 75.91 1.00 72.46 1.00 74.71 1.00
F4 [1 − 1/(1 − α)3]/−3 104.22 0.99 106.27 1.00 106.19 1.00 101.59 1.00 104.57 1.00
F5 [1 − 1/(1 − α)4]/−4 136.62 0.99 139.24 1.00 139.14 1.00 133.31 1.00 137.08 1.00
F5.5 [1 − 1/(1 − α)4.5]/−4.5 153.46 1.00 156.39 1.00 156.28 1.00 149.80 1.00 153.98 1.00
D1 α 2 36.07 0.94 37.07 0.97 43.18 0.95 35.02 0.97 37.83 0.96
D2 (1 − α)ln(1 − α) + α 44.41 0.96 45.58 0.98 52.11 0.96 43.22 0.98 46.33 0.97
D3 [1 − (1 − α)1/3]2 54.97 0.97 56.35 0.99 63.24 0.97 53.58 0.99 57.04 0.98
D4 [1 − (2/3)α] − (1 − α)2/3 47.90 0.96 49.14 0.98 55.79 0.97 46.64 0.98 49.87 0.97
R2 1 − (1 − α)1/2 19.69 0.94 20.21 0.97 23.54 0.95 18.80 0.97 20.56 0.96
R3 1 − (1 − α)1/3 22.28 0.95 22.85 0.98 26.27 0.96 21.34 0.98 23.19 0.97