In this paper, the radiation defects induced by the swift heavy ions and the recoil atoms in amorphous SiO 2 were studied. The energy of recoil atoms induced by the incident Au ions in SiO 2 was calculated by using Monte Carlo method. Results show that the average energies of recoils reach the maximum (200 eV for Si and 130 eV for O, respectively) when the incident energy of Au ion is 100 MeV. Using Tersoff/zbl potential with the newly built parameters, the defects formation processes in SiO 2 induced by the recoils were studied by using molecular dynamics method. The displacement threshold energies (E d ) for Si and O atoms are found to be 33.5 and 16.3 eV, respectively. Several types of under-and over-coordinated Si and O defects were analyzed. The results demonstrate that Si 3 , Si 5 , and O 1 are the mainly defects in SiO 2 after radiation. Besides, the size of cylindrical damage region produced by a single recoil atom was calculated. The calculation shows that the depth and the radius are up to 2.0 and 1.4 nm when the energy of recoils is 200 eV. Finally, it is estimated that the Au ion would induce a defected track with a diameter of 4 nm in SiO 2 .
ARTICLE HISTORY
In the frame theory, stability is one of the most important properties of frames. In this paper, we investigate the stability of the almost self-located robust frames, which can reconstruct signals from its unordered partial frame coefficients. We give conditions on the stability of almost self-located robustness of frames in erasure recovery. We prove that the property of almost self-located robustness is preserved with respect to an invertible operator, and consequently, every almost self-robust frame can be transformed into an almost self-located robust Parseval frame by using a special invertible transformation. We also present some construction methods of almost self-located robust frames. In particular, we show that every frame can be rescaled to an almost self-located frame after adding a suitable vector.
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