Pitted keratolysis commonly affects young male patients wearing protective shoes for professional reasons, inducing a moist and warm environment. Hyperhidrosis, an unpleasant smell, and pain are the main clinical complaints.
When an insulating material is subjected to electron irradiation, it produces a secondary emission the yield of which varies from a few percent to very high values (up to 24 per incoming electron) depending on the material and the experimental conditions. If the secondary electron emission yield is less than one, a net negative charge remains trapped in the sample. In this case, the study of the electric charges trapping properties of the material becomes possible. This article describes how it is possible to use a secondary electron microscope (SEM) as a device to perform such a study. In Sec. II, the effect of a net negative trapped charge resulting (from the injection of typically 50 pC) on the imaging process of the SEM has been described. It has been shown that when the trapped charge is high enough, it acts as a mirror reflecting the incoming electron beam which is deflected somewhere in the vacuum chamber of the microscope. A global qualitative description of the image displayed on the screen is first presented. Then electron trajectories are quantitatively studied by using the Rutherford scattering cross section in the case of a point charge. When the charge is extended, a numeric simulation has been done in order to predict the validity range of the previous model. Once the trajectories have been calculated, the connection between the remarkable elements of the image and the quantity of trapped charges has been established. Moreover, this technique allows one to study the lateral dimension of the trapped charge zone and to measure the surface potential. In Sec. III, the discussion is first focused on some precautions to be taken concerning the sample preparation before the experiment is performed. It has been shown that surface defects due either to contamination layers or machining change the trapping properties of single-crystals ceramics such as MgO and Al2O3. A cleaning procedure is proposed that consists of annealing the sample at 1500 °C for 4 h in order to heal the crystalline defects and a heating at 400 °C in the vacuum chamber of the SEM to remove the contamination layers. Finally, the effect of the temperature on the trapping properties of pure and chromium doped sapphire has been studied in relation with the chromium concentration. It is shown that temperature behavior of trapping is in relation with the chromium concentration. In the pure sapphire trapping is activated below −16 °C, in 500 ppm rubis it is below −9.5 °C due to isolated chromium atoms, and in the 8000 ppm rubis the critical trapping temperature rises to 3.7 °C due to Cr3+ pairs. The interpretation of the role played by chromium on trapping is based on the experimental study of the fluorescence of chromium atoms and pairs as a function of concentration.
Electric charges trapping into a dielectric medium are described from polarons trapped into sites which are characteristic of the material structure (polaron trap). In terms of susceptibility, that means charges are trapped into sites whose susceptibility is lower than their surrounding environment. The charge trapping produces polarization of the medium. The energy of polarization per embedded charge is estimated to be equal to 5χ (χ being the susceptibility). The surface breakdown of the dielectric is attributed both to charge detrapping and to relaxation of energy of polarization, using the collective many-body process. The consequences of this interpretation are consistent with experiments on surface breakdown performed with a scanning electron microscope. Furthermore, considerations about the improvement of breakdown voltage for dielectric materials are introduced.
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