Table 2: Algebraic expressions of functions and and mechanisms [23, 24].

No. Rate-determining mechanism

1 Chemical reaction
2 Chemical reaction
3 Chemical reaction
4 Chemical reaction
5 Chemical reaction
6 Chemical reaction
7 Chemical reaction
8 Chemical reaction
9 Chemical reaction
10 Nucleation
11 Nucleation
12 Nucleation
13 Nucleation
14 Nucleation
15 Assumed random nucleation and its subsequent growth
16 Assumed random nucleation and its subsequent growth
17 Assumed random nucleation and its subsequent growth
18 Assumed random nucleation and its subsequent growth
19 Assumed random nucleation and its subsequent growth
20 Assumed random nucleation and its subsequent growth
21 Assumed random nucleation and its subsequent growth
22 Assumed random nucleation and its subsequent growth
23 Branching nuclei
24 Contracting disk
25 Contracting cylinder (cylindrical symmetry)
26 Contracting sphere (spherical symmetry)
27 One-dimensional diffusion
28 Two-dimensional diffusion
29 Two-dimensional diffusion
30 Three-dimensional diffusion, spherical symmetry
31 Three-dimensional diffusion, cylindrical symmetry
32 Three-dimensional diffusion
33 Three-dimensional diffusion
34 Three-dimensional diffusion
35 Three-dimensional diffusion
36 Three-dimensional diffusion