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