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Determination of the Activation Energy of a TL Peak Without Prior Knowledge of Order of Kinetics

I. Bhattacharyya, B. Romesh Sharma, S. K. Azharuddin, S. D. Singh, P. S. Majumdar


In the present study, we extend the peak shape method of Chen for fractional intensities x =2 3 and 4 5.The novelity of the method is that it does not require the prior knowledge of order of kinetics which does not admit a straight forward evaluation. The present method has been successfully applied to computer generated TL peaks resulting from kinetic order model (KOM). The validity of the present sets of expressions for activation energy has been exemplified by applying them to experimental TLpeaks of Sodalite and Tremolite.

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Martini M, Meinardi F. Thermally stimulated luminescence: new perspectives in the study of defects in solids. La Rivista del Nuovo Cimento (1978–1999). 1997 Aug; 20: 1–71.

Chen R. Methods for kinetic analysis of thermally stimulated processes. J Mater Sci. 1976 Aug; 11: 1521–41.

McKeever SW. Thermoluminescence of solids. Cambridge: Cambridge University Press; 1985.

Chen R, McKeever SW. Theory of thermoluminescence and related phenomena. Singapore: WorldScientific; 1997.

Kathren RL. Unravelling thermoluminescence. Radiat Prot Dosimetry. 2015 Mar; 163(4): 531–532.

Mah ML. Fire and Ice: Thermoluminescent Temperature Sensing in High-Explosive Detonations and Optical Characterization Methods for Glacier Ice Boreholes. Doctoral dissertation. USA:University of Minnesota; 2017.

Berger G. Thermoluminescence Dating. M. J. Aitken. Academic Press, Orlando/London, 1985. p.351. Quaternary Research. 1986; 26(2): 280-281. DOI:10.1016/0033-5894(86)90112-2.

Randall JT, Wilkins MH. Phosphorescence and electron traps-I. The study of trap distributions. Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences. 1945Nov 6; 184(999): 365–89.

Garlick GF, Gibson AF. The electron trap mechanism of luminescence in sulphide and silicate phosphors. Proc Phys Soc. 1948 Jun 1; 60(6): 574.

Chen R. Glow curves with general order kinetics. J Electrochem Soc. 1969 Sep 1; 116(9): 1254.

Chen R. On the calculation of activation energies and frequency factors from glow curves. J Appl Phys. 1969 Feb 1; 40(2): 570–85.

Christodoulides C. Determination of activation energies by using the widths of peaks of thermoluminescence and thermally stimulated depolarisation currents. J Phys D: Applied Physics.1985 Aug 14; 18(8): 1501.

Azharuddin SK, Dorendrajit Singh S, Majumdar PS. On the Peak Shape Method of the Determination of Activation Energy and Order of Kinetics in Thermoluminescence Recorded with Hyperbolic Heating Profile. J Mech Continua Math Sci. 2018; 12(2): 10–20.

Gartia RK, Singh SD, Mazumdar PS. Recent developments on the analysis of thermoluminescence. Indian J Phys. 1997 Mar 1; 71: 95–116.

Abramowitz M, Stegun IA. Handbook of Mathematical Functions with Formulas Graphs and Mathematical Tables. Washington: U.S. Govt. Print. Off; 1967.

Spiegel MR, Stephens LJ. Schaum's outline of theory and problems of statistics. Erlangga; 1999.

Bhattacharya M, Deb NC, Msezane AZ, Mazumdar PS. On the thermoluminescence glow curve deconvolution functions for different orders of kinetics. Phys Status Solidi (A). 2001 Jun; 185(2):291–9.

Balian HG, Eddy NW. Figure-of-merit (FOM), an improved criterion over the normalized chi-squared test for assessing goodness-of-fit of gamma-ray spectral peaks. Nucl Instrum Methods. 1977 Sep 1; 145(2): 389–95.

Misra SK, Eddy NW. IFOM, a formula for universal assessment of goodness-of-fit of gamma ray spectra. Nucl Instrum Methods. 1979 Dec 1; 166(3): 537–40.

Singh SJ, Karmakar M, Singh SD. On the determination of the order of kinetics in thermoluminescence by peak-shape method. Radiat Eff Defects Solids. 2013 May 1; 168(5): 352–7.



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