Displacement energy for various ions in particle detector materials

The total displacement energy or total non-ionising energy loss has been calculated for a variety of ions during their slowing down to rest in the detector materials carbon, silicon and gallium arsenide. The calculations, based on the theory of Lindhard et al., have been performed using a Monte Carlo method and a simple parameterisation of the results is presented. Such a parameterisation will simplify considerably the future computation of the differential non-ionising energy loss by fast particles in particle detectors.