Intensity of electron channeling radiation, and occupation lengths in diamond crystals

Abstract

The intensity of channeling radiation from natural diamonds of thicknesses of 13 to 55 \ensuremath{\mu}m has been investigated at electron energies of 5.2 and 9.0 MeV. The intensities scale with electron energy according to ${\ensuremath{\gamma}}^{5/2}$ and vary with the crystal thickness d as (1-${\mathit{e}}^{\mathrm{\ensuremath{-}}\ensuremath{\lambda}\mathit{d}}$), from which the occupation length ${\ensuremath{\lambda}}^{\mathrm{\ensuremath{-}}1}$ of the electronic states in the crystal could be deduced. It amounts to 18 and 29 \ensuremath{\mu}m for 5.2 and 9.0 MeV electrons, respectively. The strongest transition has an intensity of 0.1 photon per ${\mathit{e}}^{\mathrm{\ensuremath{-}}}$ per sr.