Abstract

The theory of Channeling Radiation (CR) as applied to a germanium crystal target (spectra and linewidths) is presented here for electron energies less than 12 MeV. For higher electron energies, the channeling radiation spectrum in a germanium crystal is composed of energy lines that are so close to each other that the spectrum results in a broad envelope. The many-beam formalism and the standard Hartree-Fock potentials are used to calculate the CR transition energies. The expressions of CR spectral linewidths are derived from the use of the complex optical potential which describes the incoherent scattering from thermally vibrating atoms of the crystal. The population of the different quantum states as a function of the crystal thickness is also obtained. In this study we will present calculations for major axes or planes of a germanium crystal. For other crystals with diamond like structure and other planes or axes, the reader is invited to use the given formulas and parameters.

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