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- W3013242905 abstract "The channeling properties of $^{1}mathrm{H}^{+}$, $^{2}mathrm{D}^{+}$, and $^{3}mathrm{He}^{+phantom{rule{0ex}{0ex}}+}$ ions in germanium have been examined, using a diffraction model for the interaction between the lattice and the channeled ions. The stopping power ($ensuremath{-}frac{mathrm{dE}}{mathrm{dx}}$) and the differential mean-square energy spread ($frac{d{ensuremath{sigma}}^{2}}{mathrm{dE}}$) of the channeling energy spectrum have been calculated for each of the above ions in the energy range 3 to 8 MeV for three incident directions in the lattice. The energy states of the electrons in the lattice are approximated by using a shell model of the lattice atoms. $Z$ electrons per atom are assumed to occupy a rigid, negatively charged shell surrounding an atomic core, where $Z$ is an adjustable parameter in the calculation. An harmonic approximation to the shell-core and shell-shell interactions in the lattice then leads to phononlike excitations in which the shell and atomic core are moving out of phase. This introduces a time-dependent polarization in the lattice which interacts strongly with the incident ions. The lower-energy portion of this excitation spectrum is indetified with the plasmon spectrum of the solid, and the known properties of the plasmons are included in the calculation. The parameter $Z$ is adjusted to give agreement between the theoretical and experimental channeling energy losses. No experimental data are presently available for comparison with the calculations for $^{3}mathrm{He}^{+phantom{rule{0ex}{0ex}}+}$. The results indicate that each of the three directions considered in the calculations can be characterized by a reasonable value of $Z$, which is expected to be $ensuremath{gtrsim}4$ depending on the degree to which the valence electrons shielded the inner electrons. For ions incident near the directions indicated these values are $〈1,1,0〉$, $Z=5.6ifmmodepmelsetextpmfi{}0.3$; $〈1,1,1〉$, $Z=8.6ifmmodepmelsetextpmfi{}0.4$; $〈1,1,2〉$, $Z=7.2ifmmodepmelsetextpmfi{}0.3$." @default.
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- W3013242905 date "1968-01-10" @default.
- W3013242905 modified "2023-10-14" @default.
- W3013242905 title "Channeling ofH+1,D+2, andHe++3Ions in Germanium: A Diffraction Calculation" @default.
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- W3013242905 doi "https://doi.org/10.1103/physrev.165.475" @default.
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