Reaction model Notation f(α) g(α) First order F1 (1– α) -ln(1-α) Second order F2 (1– α)2 α(1-α)–1 Phase boundary controlled (contracting area) R2 2(1-α)1/2 [ 1-(1-α)1/2] Phase boundary controlled (contracting volume) R3 3(1-α)2/3 [ 1-(1-α)1/3] Power law model P4 2/3 α-1/2 α3/2

Table 1: Various reaction model expressions for f(α) and g(α).