Analytical expression for the dislocation contrast factor of the {100} cubic slip-system: application to Cu2O

An analytical solution was obtained for the average contrast factor C̅ hkl of dislocations with <001>{100} slip-system in anisotropic cubic crystals. The expression provides the dislocation contrast factor as an explicit function of the Miller indices (hkl), the elastic anisotropy factor Az, and the Poisson ratio ν, thus avoiding lengthy numerical calculations or approximate parametrizations. The expression was incorporated in the whole powder pattern modelling algorithm and used to study dislocations in ball milled nanocrystalline Cu2O.