Dynamic matrix constructor f(a) and accumulated points constructor g(a) for not the same mechanisms.

Function law name	g(a)	f(a) = (1/k)(da/dt)
Ordinary reaction
Phase–interface reaction	a	1
Primary reaction	–ln(1 − a)	1 − a
Secondary reaction	(1 − a)−1	(1 − a)2
Tertiary reaction	(1 − a)−2	(1 − a)3
Stage boundary control reaction
Shrinking cylinder	1 − (1 − a)1/2	2(1 − a)1/2
Shrinkage sphere	1 − (1 − a)1/3	2(1 − a)2/3
Diffusion-controlled reaction
Power function law	a 2	1/2a
The Valensi equation	(1 − a)ln(1 − a) + a	[−ln(1 − a)]−1
The Jander equation	[1 − (1 − a)1/3]2	3/2(1 − a)2/3[1 − (1 − a)1/3]−1
The G–B equation	(1 − 2a/3) − (1 − a)2/3	3/2[(1 − a)−1/3 − 1]−1