Distribution and interference functions for two-dimensional hexagonal paracrystals

The notion of a paracrystal is particularly well adapted to the calculation of the scattering interference function of distorted crystallographic lattices in which the long-range order does not exist. However, classical paracrystal modelling cannot be used directly for hexagonal lattices because it does not respect the hexagonal symmetry. Here an analytical determination of the distribution and interference functions for two-dimensional hexagonal paracrystals is presented.