Mixed first and second order kinetics in thermally stimulated processes

R. Chen*, N. Kristianpoller, Z. Davidson, R. Visocekas

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

88 Scopus citations

Abstract

A kinetic equation of the "mixed order" form I(t)=-dn/dt=s'n2 exp(-E/kT) +s'Cn exp(-E/kT) is considered and shown to govern thermoluminescence (TL), thermally stimulated conductivity (TSC) and ionic thermoconductivity (ITC) under certain conditions. The present equation is compared to the previously accepted "three parameters" general order equation, namely I(t)=-dn/dt=s'nb exp(-E/kT), where b is the "effective order" of the kinetics. The mixed order equation is shown to result from the more general set of three differential equations governing the "traffic" of carries between a trap, the conduction band and a recombination center under certain physical assumptions. Also, the applicability of this equation is discussed as an empirical approximation to the more general case. The solution of this equation is investigated, and methods for experimentally extracting the three parameter E, s' and C are introduced. The advantages of this presentation as compared to the "general order" one are discussed. As a different case where the mixed order equation seems to accurately described the physical situation, we discuss TL and conductivity attributed to ionic transport.

Original languageEnglish
Pages (from-to)293-303
Number of pages11
JournalJournal of Luminescence
Volume23
Issue number3-4
DOIs
StatePublished - 1981

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