Structure factors for icosahedral quasicrystals

The restriction of a hypercubic lattice in six dimensions to a subspace of three dimensions yields a well known quasiperiodic description of quasicrystals with non-crystallographic icosahedral point symmetry. A quasicrystal model is considered where this description is further reduced to a non-periodic quasilattice formed from two types of rhombohedra. Given the density on two representative rhombohedral cells, the full Fourier transform is expressed in closed form through structure factors, quasilattice factors and kinematical factors. The diffraction from point scatterers in the quasilattice is computed as an example. (orig.)