| Model | Mechanism | f(x) | g(x) |
| 1 | First-order reaction | (1 - x) | -ln (1 - x) |
| 2 | Second-order reaction | (1 - x)2 | (1 − x)−1 - 1 |
| 3 | Third-order reaction | (1 - x)3 | [(1 - x)−2 - 1]/2 |
| 4 | Power law (P2) | 2x1/2 | x1/2 |
| 5 | Power law (P3) | 3x2/3 | x1/3 |
| 6 | Power law (P4) | 4x3/4 | x1/4 |
| 7 | One-dimensional Diffusion (D1) | 1/2x | x2 |
| 8 | Contracting area (R2) | 2 (1 - x)1/2 | [1 - (1 - x)1/2] |
| 9 | Contracting volume (R3) | 3 (1 - x)2/3 | [1 - (1 - x)1/3] |
| 10 | Two-dimensional Diffusion (D2) | [-ln(1 - x)]−1 | [(1 - x) ln (1 - x)] + x |
| 11 | Three-dimensional Diffusion (D3) | 3 (1 - x)2/3/[2(1 - (1 - x)1/3)] | [1 - (1 - x)1/3]2 |
| 12 | Ginstling-Brounshtein (D4) | 3/2((1 - x)−1/3 - 1) | (1 - (2x/3) - (1 - x)2/3) |
| 13 | Avarami-Erofe’ev (A2) | 2(1 - x) [-ln (1 - x)]1/2 | [-ln (1 - x)]1/2 |
| 14 | Avarami-Erofe’ev (A3) | 3(1 - x) [-ln (1 - x)]2/3 | [-ln (1 - x)]1/3 |
| 15 | Avarami-Erofe’ev (A4) | 4(1-x) [-ln (1 - x)]3/4 | [-ln (1 - x)]1/4 |