Skip to main content
Log in

Kinetic Analysis Using Multivariate Non-linear Regression. I. Basic concepts

  • Published:
Journal of Thermal Analysis and Calorimetry Aims and scope Submit manuscript

Abstract

In principle, the kinetic analysis of thermal effects has limitations when based on a single measurement. Using a simulated example and the dehydration of Ca(OH)2 , it will be shown that, through the simultaneous application of non-linear regression to several measurements run at different heating rates (multivariate non-linear regression), the difficult problem of determining the probable reaction type can be reliably solved.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. H. Mauser, Formale Kinetik, Bertelsmann Universitätsverlag.

  2. H. J. Flammersheim, N. Eckardt and J. Opfermann, Thermochim. Acta, 229 (1993) 281.

    Article  CAS  Google Scholar 

  3. J. Málek, J. Šesták, F. Rouquerol, J. Rouquerol, J. Criado and A. Ortega, J. Thermal Anal., 38 (1992) 71.

    Article  Google Scholar 

  4. M. Maciejewski, J. Thermal Anal., 38 (1992) 51.

    Article  CAS  Google Scholar 

  5. J. Opfermann, G. Wilke, W. Ludwig, S. Hagen, M. Gebhardt and E. Kaisersberger in Thermische Analyseverfahren in Industrie und Forschung, VI. Herbstschule, Meisdorf 14.18. Nov. 1988, Friedrich-Schiller-Universität 1991, ISBN 3-86007-018-5.

  6. M. E. Brown, Introduction to Thermal Analysis, Techniques and Applications, Chapman and Hall, London, New York 1989.

    Google Scholar 

  7. M. E. Brown, D. Dollimore and A. K. Galwey in Comprehensive Chemical Kinetics, Vol. 22, Reactions in Solid State, ed. C. H. Bamford and C. F. Tipper, Amsterdam 1980, p. 57.

  8. A. I. Lesnikovich and S. V. Levchik, J. Thermal Anal., 27 (1983) 85.

    Article  Google Scholar 

  9. A. I. Lesnikovich, S. V. Levchik and V. S. Guslev, Thermochim. Acta, 77 (1984) 357.

    Article  CAS  Google Scholar 

  10. S. Bourbigot, R. Delobel, M. Le Bras and D. Normand, J. Chim. Phys., 90 (1993) 1909.

    CAS  Google Scholar 

  11. E. Kaisersberger and J. Opfermann, Thermochim. Acta, 187 (1991) 151.

    Article  CAS  Google Scholar 

  12. E. Kaisersberger and J. Opfermann, Laborpraxis, 4 (1992) 360.

    Google Scholar 

  13. J. Opfermann, Proceedings of ESTAC 6, Grado / Italy, p. 219.

  14. J. Opfermann, F. Giblin, J. Mayer and E. Kaisersberger: American Laboratory, Febr. 1995, 34.

  15. G. Pokol, S. Gál and E. Pungor, Anal. Chim. Acta, 175 (1985) 289.

    Article  CAS  Google Scholar 

  16. J. P. Elder, Thermochim. Acta, 95 (1985) 41.

    Article  CAS  Google Scholar 

  17. J. M. Criado and A. Ortega, J. Thermal Anal., 29 (1984) 1075.

    Article  CAS  Google Scholar 

  18. M. E. Brown, J. Thermal Anal., 49 (1997) 17.

    Article  CAS  Google Scholar 

  19. J. M. Criado, A. Ortega and F. Gotor, Thermochim. Acta, 157 (1990) 171.

    Article  CAS  Google Scholar 

  20. J. Madarász, G. Pokol and S. Gál, Proceedings of ESTAC 6, Grado / Italy, p. 180.

  21. T. Ozawa, Bull. Chem. Soc. Japan, 38 (1965) 1881.

    Article  CAS  Google Scholar 

  22. J. Flynn and L. A. Wall, Polym. Lett., 4 (1966) 232.

    Article  Google Scholar 

  23. J. Opfermann and E. Kaisersberger, Thermochim. Acta, 11 (1992) 167.

    Article  Google Scholar 

  24. J. Šesták, Thermophysical Properties of Solids, Academia, Prag 1984.

    Google Scholar 

  25. S. D. Christian and E. R. Tucker, Internat. Laboratory, March 1984, p. 10.

  26. H. J. Flammersheim, private communication.

  27. G. Engeln-Müllges and F. Reuter, Formelsammlung zur Numerischen Mathematik, Bibliographisches Institut & F. A. Brockhaus AG, Mannheim 1991, ISBN 3-411-15003-3.

    Google Scholar 

  28. J. Opfermann, Rechentechnik/Datenverarbeitung 22.3 (1985) 26.

    Google Scholar 

  29. J. Opfermann, Manual of the Program NETZSCH Thermokinetics, Version 1998.

  30. D. Rasch, G. Herrendörfer, J. Bock and K. Busch, Verfahrensbibliothek — Versuchsplanung und Auswertung, VEB Deutscher Verlag Landwirtschaftsverlag Berlin, Berlin 1981, p. 1105.

    Google Scholar 

  31. H.-W. Jank and A. Meister, Kulturpflanze, 30 (1982) 30.

    Article  Google Scholar 

  32. J. Opfermann, J. Therm. Anal. Cal., in preparation.

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Opfermann, J. Kinetic Analysis Using Multivariate Non-linear Regression. I. Basic concepts. Journal of Thermal Analysis and Calorimetry 60, 641–658 (2000). https://doi.org/10.1023/A:1010167626551

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1010167626551

Navigation