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Importance of proper baseline identification for the subsequent kinetic analysis of derivative kinetic data

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Abstract

Based on theoretically simulated sets of kinetic data, the performance of the linear, cubic spline, and Bezier interpolations was tested for single-process kinetic peaks exhibiting different asymmetries. The quality of the approximation of the true thermokinetic background was compared to the (correct) tangential area-proportional interpolation. The Bezier interpolation exhibited the best performance (closest to the tangential area-proportional one); the linear and cubic spline interpolations resulted in a roughly similar level of data distortions. In general, the higher the absolute value of peak asymmetry, the larger the distortions associated with usage of the mathematic interpolations. The most influenced kinetic results were found to be the integrated area of the peak and the actual shape of the peak (being reflected in the kinetic model parameters determined via the model-based kinetic analysis of the data). On the other hand, the model-free kinetic results were found to be in most cases markedly robust with respect to the distortions of the kinetic data associated with the usage of inaccurate interpolations. In particular, the peak-maximum-based methods for evaluation of the apparent activation energy of the process performed extremely well in all cases.

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References

  1. Šesták J. Thermophysical properties of solids, their measurements and theoretical analysis. Amsterdam: Elsevier; 1984.

    Google Scholar 

  2. Svoboda R. Importance of proper baseline identification for the subsequent kinetic analysis of derivative kinetic data. J Therm Anal Calorim. 2016;124:1717–25.

    Article  CAS  Google Scholar 

  3. Johnson WA, Mehl KF. Reaction kinetics in processes of nucleation and growth. Trans Am Inst Min (Metall) Eng. 1939;135:416–42.

    Google Scholar 

  4. Avrami M. Kinetics of phase change I—general theory. J Chem Phys. 1939;7:1103–12.

    Article  CAS  Google Scholar 

  5. Avrami M. Kinetics of phase change. II—transformation-time relations for random distribution of nuclei. J Chem Phys. 1940;7:212–24.

    Article  Google Scholar 

  6. Avrami M. Granulation, phase change, and microstructure—kinetics of phase change III. J Chem Phys. 1941;7:177–84.

    Article  Google Scholar 

  7. Höhne G, Hemminger W, Flammersheim HJ. Differential scanning calorimetry. Berlin: Springer; 2003.

    Book  Google Scholar 

  8. Schoenberg IJ. Contributions to the problem of approximation of equidistant data by analytic functions. Part A: on the problem of smoothing of graduation. A first class of analytic approximation formulae. Quart Appl Math. 1946;4:45–99.

    Article  Google Scholar 

  9. Šesták J. Science of heat and thermophysical studies: a generalized approach to thermal analysis. Amsterdam: Elsevier; 2005.

    Google Scholar 

  10. Perejón A, Sánchéz-Jiménez PE, Criado JM, Pérez-Maqueda LA. Kinetic analysis of complex solid-state reactions. A new deconvolution procedure. J Phys Chem B. 2011;115:1780–91.

    Article  Google Scholar 

  11. Svoboda R, Málek J. Applicability of Fraser–Suzuki function in kinetic analysis of complex processes. J Therm Anal Calorim. 2013;111:1045–56.

    Article  CAS  Google Scholar 

  12. Vyazovkin S, Burnham AK, Criado JM, Pérez-Maqueda LA, Popescu C, Sbirrazzuoli N. ICATC Kinetics Committee recommendations for performing kinetic computations on thermal analysis data. Thermochim Acta. 2011;520:1–19.

    Article  CAS  Google Scholar 

  13. Ozawa T. Kinetic analysis of derivative curves in thermal analysis. J Therm Anal. 1970;2:301–24.

    Article  CAS  Google Scholar 

  14. Kissinger HE. Reaction kinetics in differential thermal analysis. Anal Chem. 1957;29:1702–6.

    Article  CAS  Google Scholar 

  15. Friedman HL. Kinetics of thermal degradation of char-forming plastics from thermogravimetry. Application to a phenolic plastic. New York: Wiley Subscription Services, Inc., A Wiley Company; 1964.

    Google Scholar 

  16. Flynn JH, Wall LA. A quick, direct method for the determination of activation energy from thermogravimetric data. J Polym Sci B Polym Lett. 1966;4:323–8.

    Article  CAS  Google Scholar 

  17. Opfermann J. Kinetic analysis using multivariate non-linear regression. I. Basic concepts. J Therm Anal Calorim. 2000;60:641–58.

    Article  CAS  Google Scholar 

  18. Opfermann JR, Kaisersberger E, Flammersheim HJ. Model-free analysis of thermoanalytical data—advantages and limitations. Thermochim Acta. 2002;391:119–27.

    Article  CAS  Google Scholar 

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Acknowledgements

This work has been supported by the Czech Science Foundation under Project No. 17-11753S.

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Correspondence to Roman Svoboda.

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Svoboda, R. Importance of proper baseline identification for the subsequent kinetic analysis of derivative kinetic data. J Therm Anal Calorim 131, 1889–1897 (2018). https://doi.org/10.1007/s10973-017-6673-x

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