Energy loss of charged particles in crystals

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Abstract
Charged particle energy loss has been calculated as a function of an impact parameter in a crystal. The quantum dielectric formalism is used when calculating the energy loss in the outer valence shell. Calculations have been carried out particularly for silicon including the zonal energy structure. Energy loss on inner electrons has been calculated in the semi-classical approximation and in the classical dipole approximation. The scope of applicability of the two approximations has been determined. The hyperchanneled particle energy loss to the loss in amorphous medium ratio has been calculated. This ratio is shown to display a peak a t particle velocities close to atomic velocities. Relation between energy loss and local electron density has been studied. Comparison with experiment is presented.