TY - JOUR
T1 - Mixed first and second order kinetics in thermally stimulated processes
AU - Chen, R.
AU - Kristianpoller, N.
AU - Davidson, Z.
AU - Visocekas, R.
PY - 1981
Y1 - 1981
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=0000441706&partnerID=8YFLogxK
U2 - 10.1016/0022-2313(81)90135-6
DO - 10.1016/0022-2313(81)90135-6
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AN - SCOPUS:0000441706
SN - 0022-2313
VL - 23
SP - 293
EP - 303
JO - Journal of Luminescence
JF - Journal of Luminescence
IS - 3-4
ER -