Analytical Expressions for the Mixed-Order Kinetics Parameters of TL Glow Peaks Based on the two Heating Rates Method

  • Mufeed Maghrabi
  • Tariq Al-Abdullah
  • Ziad Khattari
ORIGINAL ARTICLE
  • 16 Downloads

Abstract

The two heating rates method (originally developed for first-order glow peaks) was used for the first time to evaluate the activation energy (E) from glow peaks obeying mixed-order (MO) kinetics. The derived expression for E has an insignificant additional term (on the scale of a few meV) when compared with the first-order case. Hence, the original expression for E using the two heating rates method can be used with excellent accuracy in the case of MO glow peaks. In addition, we derived a simple analytical expression for the MO parameter. The present procedure has the advantage that the MO parameter can now be evaluated using analytical expression instead of using the graphical representation between the geometrical factor and the MO parameter as given by the existing peak shape methods. The applicability of the derived expressions for real samples was demonstrated for the glow curve of Li2B4O7:Mn single crystal. The obtained parameters compare very well with those obtained by glow curve fitting and with the available published data.

Keywords

Mixed-order kinetics Kinetics parameters Li2B4O7:Mn single crystal Two heating rates method 

Notes

Acknowledgements

One of the authors (M. Maghrabi) is grateful to Prof. T. Karali for providing him with the experimental glow curves used in the present study. The financial support from the Hashemite University/Jordan is highly appreciated.

References

  1. 1.
    Hoogenstraaten W (1958) Electron traps in zinc-sulfide phosphors. Philips Res Rep 13:515–593Google Scholar
  2. 2.
    Chen R (1969) Glow curves with general order kinetics. J Electrochem Soc 116:1254–1257CrossRefGoogle Scholar
  3. 3.
    Shalgaonkar CS, Narlikar AV (1972) A review the recent methods for determining trap depth from glow curves. J Mater Sci 7:1465–1471CrossRefGoogle Scholar
  4. 4.
    Chen R (1976) Methods for kinetic analysis of thermally stimulated processes. J Mater Sci 11:1521–1541CrossRefGoogle Scholar
  5. 5.
    Chen R, Kristianpoller N, Davison Z, Visocekas R (1981) Mixed first and second order kinetics in thermally stimulated processes. J Lumin 23:293–303CrossRefGoogle Scholar
  6. 6.
    Sunta CM, Ayta WEF, Chubaci JFD, Watanabe S (2002) General order and mixed order fits of thermoluminescence glow curves-a comparison. Radiat Meas 35:47–57CrossRefGoogle Scholar
  7. 7.
    Kitis G, Chen R, Pagonis V (2008) Thermoluminescence glow-peak shape methods based on mixed order kinetics. Phys Status Solidi A 205:1181–1189CrossRefGoogle Scholar
  8. 8.
    Kitis G, Gomez-Ros JM (2000) Thermoluminescence glow-curve deconvolution functions for mixed order of kinetics and continuous trap distribution. Nucl Instrum Methods A 440:224–231CrossRefGoogle Scholar
  9. 9.
    Vejnović Z, Pavlović MB, Davidović M (2008) Thermoluminescence glow curve deconvolution function for the mixed-order kinetics. Radiat Meas 43:1325–1330CrossRefGoogle Scholar
  10. 10.
    Yossian D, Horowitz YS (1997) Mixed-order and general-order kinetics applied to synthetic glow peaks and to peak 5 in LiF:mg,Ti. Radiat Meas 27:465–471CrossRefGoogle Scholar
  11. 11.
    Maghrabi M, Al-Jundi J, Arafah DE (2008) Mixed- and general-order kinetics applied to selected thermoluminescence glow curves. Radiat Prot Dosim 13:291–299CrossRefGoogle Scholar
  12. 12.
    Zahedifar M, Kavianinia MJ, Ahmadi M (2007) Effect of population of trapping states on kinetic parameters of LiF:mg,cu,P (GR-200) using mixed and general order of kinetics. Radiat Meas 42:815–818CrossRefGoogle Scholar
  13. 13.
    Booth AH (1954) Calculation of electron trap depths from thermoluminescence maxima. Can J Chem 32:214–215CrossRefGoogle Scholar
  14. 14.
    Bohun A (1954) Thermoemission und photoemission von Natriumchlorid. Czechoslov J Phys 4:91–93CrossRefGoogle Scholar
  15. 15.
    Randall JT, Wilkins MH (1945) Phosphorescence and electron traps I: the study of trap distributions. Proc Royal Soc 184:366–389Google Scholar
  16. 16.
    McKeever SWS, Chen R (1997) Luminescence models. Radiat Meas 27:625–661CrossRefGoogle Scholar
  17. 17.
    Furetta C, Kitis G (2004) Models in thermoluminescence. J Mater Sci 39:2277–2294CrossRefGoogle Scholar
  18. 18.
    Gartia RK, Ingotombi S, Singh TSC, Mazumdar PS (1991) On the determination of the activation energy of a thermoluminescence peak by the two-heating-rates method. J Phys D Appl Phys 24:65–69CrossRefGoogle Scholar
  19. 19.
    Rasheedy MS, Abd-Elmageed AI (2007) The validity of the two heating rates method to obtain the trapping parameters from general-order thermoluminescence glow peaks. J Phys Chem Solids 68:243–248CrossRefGoogle Scholar
  20. 20.
    Ekdal E, Karali T, Kelemen A, Holovey V, Ignatovych M (2014) Evaluation of kinetic parameters of Li2B4O7:Mn single crystal. J Alloys Compd 588:413–417CrossRefGoogle Scholar
  21. 21.
    Kitis G, Furetta C, Prokic M, Prokic V (2000) Kinetic parameters of some tissue equivalent thermoluminescence materials. J Phys D Appl Phys 33:1252–1262CrossRefGoogle Scholar
  22. 22.
    Kitis G, Tuyn JWN (1998) A simple method to correct for the temperature lag in TL glow-curve measurements. J Phys D Appl Phys 31:2065–2073CrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2018

Authors and Affiliations

  • Mufeed Maghrabi
    • 1
  • Tariq Al-Abdullah
    • 1
  • Ziad Khattari
    • 1
  1. 1.Physics DepartmentHashemite UniversityZarqaJordan

Personalised recommendations