Resonance integral temperature dependence

Thus, the allowance for the dependence of the resonance integral on qsk may not be reduced in general to averaging the transition probability over the distribution function in Eq. (102). The function s(qk) plays the role of the distribution function for the coordinates qk in the case of the symmetric transition. In the classical limit, the results of Flynn and Stoneham62 can be obtained from Eq. (103), and in the low-temperature limit, the result of Kagan and Klinger64 can be obtained. 

For irradiations A-Il, A-II2, B-I and C on PP fibers, no significant dependence of RO resonance line shape parameters (g value, resonance line width, resonance line shape) except resonance line intensity is observed. Under these circumstances, the temperature dependence of s.s. is anomalous and cannot be simple correlated to Curie, Curle-Welss or even exclton spin susceptibility. In the case of A-11 irradiation a weak Increase of s.s. associated to ROa centers is observed eu ound Tq (Figure 2). As the Integral dose Is Increased, the nun er of RO centers Increases and the anomaly In s.s. around Tq is enhanced, as may be observed in Figure 3. After a B-1 irradiation, the anomaly observed in the temperature dependence of s.s. is dramatic, as may be observed in Figure 4. As C-1 irradiation is limited to few MRads, the anomaly in the s.s. dependence on temperature is spectacular, but the anomaly in s.s. around Tq is not further enhanced. 

Thus, formally, the change of the proton state is reduced to the change of the electron resonance integral, Vjf by V f S, All the temperature dependence of the transition probability for a fixed value of the coordinate of the reactant center of mass is related to the classical overcoming of the Franck-Condon barrier created by the solvent polarization. 

In Fig. we compare the temperature dependence of the micro-wave absorption of cis and trans polyacetylene doped with AsF and Iodine. The experiment was carried out at 50 GHz in a multimode-resonator The integral absorption shown in the figure corresponds roughly to the electric conductivity (the detailed relation will be given in Ref. 10). From this figure we conclude that the qualitative behaviour of the conductivity is much more determined by the doping species than by the conformation of the polymere (cis or trans). This result is important when the re-... 

Here pis the quantum efficiency of the sensitizer (ti = Tp/xp = l/3forpentacene)in the O4 site of p-terphenyl at 4 K, n is the index of refraction (n = 1.7 for the p-terphenyl crystal), and Na is the Avogadro s number. The integral in (H9) is calculated from the normalized fluorescence spectrum/(v) and the decadic molar extinction coefficient e(v) of pentacene at O4 site. The critical interaction distance is the sensitizer-activator separation for which the transfer rate is equal to the intrinsic decay time. Although derived for low temperatures. Equation H9 is also vaUd for arbitrary temperatures. In fact, the temperature dependence of the resonant energy transfer rate is contained in the spectral overlap integral. 

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