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. 2019 Jan 22;9(6):3128–3139. doi: 10.1039/c8ra08770a

18 dynamic models used in the IKP method.44.

Kinetic models f j (α) g j (α)
Nucleation and nucleus growing graphic file with name c8ra08770a-t20.jpg (−ln(1 − α))n S1, n = 1/4
S2, n = 1/3
S3, n = 1/2
S4, n = 2/3
S5, n = 1
Phase boundary reaction (1 − α)n 1 − (1 − α) S6, plane symmetry
graphic file with name c8ra08770a-t21.jpg S7, cylindrical symmetry
graphic file with name c8ra08770a-t22.jpg S8, spherical symmetry
Diffusion graphic file with name c8ra08770a-t23.jpg α 2 S9, plane symmetry
[−ln(1 − α)]−1 α + (1 − α)ln(1 − α) S10, cylindrical symmetry
graphic file with name c8ra08770a-t24.jpg graphic file with name c8ra08770a-t25.jpg S11, spherical symmetry
graphic file with name c8ra08770a-t26.jpg graphic file with name c8ra08770a-t27.jpg S18, Jander's type
Potential law graphic file with name c8ra08770a-t28.jpg α n (0 < n < 2) S12, n = 1/4
S13, n = 1/3
S14, n = 1/2
S17, n = 2/3
Reaction order graphic file with name c8ra08770a-t29.jpg graphic file with name c8ra08770a-t30.jpg S15, n = 1/2
graphic file with name c8ra08770a-t31.jpg S16, n = 1/3