18 dynamic models used in the IKP method.44.
Kinetic models | f j (α) | g j (α) | |
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Nucleation and nucleus growing |
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(−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 |
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S7, cylindrical symmetry | ||
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S8, spherical symmetry | ||
Diffusion |
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α 2 | S9, plane symmetry |
[−ln(1 − α)]−1 | α + (1 − α)ln(1 − α) | S10, cylindrical symmetry | |
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S11, spherical symmetry | |
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S18, Jander's type | |
Potential law |
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α n (0 < n < 2) | S12, n = 1/4 |
S13, n = 1/3 | |||
S14, n = 1/2 | |||
S17, n = 2/3 | |||
Reaction order |
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S15, n = 1/2 |
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S16, n = 1/3 |