A review on differential scanning calorimetry as a tool for thermal assessment of nanostructured coatings

Open Access

Review

Table 2

The mathematical functions f (α) and g (α) for the most important solid state reactions mechanisms [9].

Reaction mechanism
Reaction order model		−ln(1 − α), for n = 1 , for n ≠ 1
Homogeneous nucleation and growth (Avrami-Erofeev)
Uni-dimensional diffusion (parabolic law)
Bi-dimensional diffusion
Tri-dimensional spherical diffusion (Jander equation)
Tri-dimensional diffusion (Ginstein-Brouhnstein equation)
Prout-Tompkins equation
Power law
Exponential law

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