Kinetic analysis of the nucleation-driven processes in condensed phase using the Turnbull–Fisher model

This study introduces a novel methodology for the kinetic analysis of the nucleation-driven processes using the Turnbull–Fisher model. The approach comprises two stages: first, the reaction rate is factorized to determine the conversion function and rate constant. This stage enables direct estimation of the Avrami exponent and is applicable to both isothermal and nonisothermal data. The second stage utilizes the derived rate constant to determine Turnbull–Fisher parameters, performing optimally with nonisothermal data. The accuracy of proposed approach was validated using simulated processes and further demonstrated through an experimental case study involving the melt crystallization kinetics of poly(butylene succinate). A key advantage of the new approach is its exclusive use of multiple linear regression, ensuring unique solutions at the global sum of squared errors without initial estimates or trial-and-error procedures. Accompanying GNU Octave/MATLAB codes are provided to facilitate broader application of the proposed methodology.