Physics of Fast Processes in Scintillators by Mikhail Korzhik & Gintautas Tamulaitis & Andrey N. Vasil’ev

Author:Mikhail Korzhik & Gintautas Tamulaitis & Andrey N. Vasil’ev
Language: eng
Format: epub
ISBN: 9783030219666
Publisher: Springer International Publishing

The intensity of electron scattering at such fluctuations is obviously quite different in these three cases. For electrons with energy above the maximum of fluctuations, the transport mean free path can be calculated using Born approximation, and inverse value of it is proportional to the integral of the structure factor for distribution of A ions over the sites and formfactor of the scattering potential of one A ion. The results of calculations of the inverse mean free path are presented in Fig. 4.5. The strongest scattering is observed evidently for the case of clusterization of solid solution W = 5, and λ disorder, tr can compete with the transport mean free path for phonon scattering on. The values presented in Fig. 4.5 are underestimated, since only the smooth part of the difference of pseudopotentials of A and B ions is used in the simulation. If the scattering due to the interaction with deeper electrons in the ion is taken into account, the scattering formfactor is much larger, and, consequently, the mean free path determined by disorder and, therefore, the thermalization length are significantly shorter. The dependence of on crystal composition is close to x(1 − x), except for the case of AB correlation.

Fig. 4.5Inverse mean free path for hot electrons with kinetic energy 0.5 eV for scattering on fluctuations of the pseudopotential in substitutional solid solutions as a function of the mixed crystal composition x for three values of affinity parameter W ≡ exp (−U AA/k BT sim): 5 (red), 1 (blue), and 0.2 (green). Dashed curve corresponds to the function proportional to x(1 − x)

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