M. No. | Reaction Model | f(α) | g(α) |
Nucleation models | |||
1 | Power Law | 4 α3/4 | α ¼ |
2 | Power Law | 3 α2/3 | α 1/3 |
3 | Power Law | 2 α1/2 | α ½ |
4 | Avrami-Erofeev | 4(1– α)[–ln(1 – α)]3/4 | [–ln(1 – α)]1/4 |
5 | Avrami-Erofeev | 3(1– α)[–ln(1 – α)]2/3 | [–ln(1 – α)]2/3 |
6 | Avrami-Erofeev | 2(1– α)[–ln(1 – α)]1/2 | [–ln(1 – α)]1/2 |
Diffusion models | |||
7 | 1-Dimensional diffusion | 1/2 α–1 | α 2 |
8 | Diffusion control (Janders) | 2(1– α)2/3 [1–(1 – α)1/3] –1 | [1–(1 – α)1/3]2 |
Reaction order and geometrical contraction models | |||
9 | Mampel (First Order) | 1 – α | –ln (1 – α) |
10 | Second Order | (1 – α)2 | (1 – α)–1 –1 |
11 | Contracting Cylinder | 2(1 – α)1/2 | 1 – (1 – α)1/2 |
12 | Contracting Sphere | 3(1 – α)2/3 | 1 – (1 – α)1/3 |