Skip to main content
Log in

Novel equation to determine activation energy of enthalpy relaxation

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

Abstract

A novel equation fully utilizing the advantages of constant ratio thermal cycles (q +/q  = const.) was derived for determination of the apparent activation energy of enthalpy relaxation. It is based on the shift of temperature corresponding to the maximum of relaxation peak T p with the applied heating rate: −Δh */R = dln(q +)/dT −1p . The equation was extensively tested for all types of structural relaxation behavior. It was proven to be highly accurate and independent from most data-distortive effects.

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.

Fig. 1
Fig. 2
Fig. 3
Fig. 4

Similar content being viewed by others

References

  1. Tool AQ. Relation between inelastic deformability and thermal expansion of glass in its annealing range. J Am Ceram Soc. 1946;29:240–53.

    Article  CAS  Google Scholar 

  2. Narayanaswamy OS. A model of structural relaxation in glass. J Am Ceram Soc. 1971;54:491–7.

    Article  CAS  Google Scholar 

  3. Moynihan CT, Easteal AJ, DeBolt MA, Tucker J. Dependence of the fictive temperature of glass on cooling rate. J Am Ceram Soc. 1976;59:12–6.

    Article  CAS  Google Scholar 

  4. Hodge IM. Enthalpy relaxation and recovery in amorphous materials. J Non-Cryst Sol. 1994;169:211–66.

    Article  CAS  Google Scholar 

  5. Hodge IM, Berens AR. Effects of annealing and prior history on enthalpy relaxation in glassy polymers. 2. Mathematical modeling. Macromolecules. 1982;15:762–70.

    Article  CAS  Google Scholar 

  6. DeBolt MA, Easteal AJ, Macedo PB, Moynihan CT. Analysis of structural relaxation in glass using rate heating data. J Am Ceram Soc. 1976;59:16–21.

    Article  CAS  Google Scholar 

  7. Svoboda R, Honcová P, Málek J. Enthalpic structural relaxation in Te–Se glassy system. J Non-Cryst Solids. 2011;357:2163–9.

    Article  CAS  Google Scholar 

  8. Svoboda R, Málek J. Enthalpy relaxation in Ge–Se glassy system. J Therm Anal Calorim. 2013;113:831–42.

    Article  CAS  Google Scholar 

  9. Svoboda R, Málek J. Structural relaxation in Se-rich As–Se glasses. J Non-Cryst Solids. 2013;363:89–95.

    Article  CAS  Google Scholar 

  10. Kovacs AJ, Aklonis JJ, Hutchinson JM, Ramos AR. Isobaric volume and enthalpy recovery of glasses II. A transparent multiparameter theory. J Polym Sci. 1979;17:1097–162.

    CAS  Google Scholar 

  11. Hutchinson JM, Ruddy M, Wilson MR. Differential scanning calorimetry of polymer glasses: corrections for thermal lag. Polymer. 1988;29:152–9.

    Article  CAS  Google Scholar 

  12. Svoboda R. Relaxation processes in selenide glasses: effect of characteristic structural entities. Acta Mater. 2013;61:4534–41.

    Article  CAS  Google Scholar 

  13. Svoboda R. Utilization of “q +/q  = const”. DSC cycles for enthalpy relaxation studies. Eur Polym J. 2014;59:180–8.

    Article  CAS  Google Scholar 

  14. Svoboda R, Pustková P, Málek J. Structural relaxation of polyvinyl acetate (PVAc). Polymer. 2008;49:3176–85.

    Article  CAS  Google Scholar 

  15. Svoboda R, Honcová P, Málek J. Enthalpic relaxation in Ge2Sb2Se5 glass. J Non-Cryst Solids. 2012;358:804–9.

    Article  CAS  Google Scholar 

  16. Svoboda R, Málek J. Description of macroscopic relaxation dynamics in glasses. J. Non-Cryst Sol. 2013;378:186–95.

    Article  CAS  Google Scholar 

  17. Svoboda R, Čičmanec P, Málek J. Kissinger equation versus glass transition phenomenology. J Therm Anal Calorim. 2013;114:285–93.

    Article  CAS  Google Scholar 

  18. Svoboda R, Málek J. Glass transition in polymers: (in)correct determination of activation energy. Polymer. 2013;54:1504–11.

    Article  CAS  Google Scholar 

Download references

Acknowledgements

This work was supported by the Czech Science Foundation under Project No. P106/11/1152.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Roman Svoboda.

Appendix

Appendix

figure a

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Svoboda, R. Novel equation to determine activation energy of enthalpy relaxation. J Therm Anal Calorim 121, 895–899 (2015). https://doi.org/10.1007/s10973-015-4619-8

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10973-015-4619-8

Keywords

Navigation