Author(s)

Antony J. Bourdillon

UHRL, San Jose, CA, USA.

A quasi-structure factor method is used to show how sharp diffraction patterns are produced by aperiodic quasicrystals. Icosahedral symmetry is described for the tensor rank 3 solids with edge-sharing unit cells that are pentagonally close packed in hierarchic structures having a geometric reciprocal lattice. The hierarchic symmetry replaces translational symmetry in crystal diffraction. Details in the calculation show how the symmetry is simulated in diffraction.

Quasicrystals, Geometric Space, Structure Factors, Scattering Factors, Hierarchic

Bourdillon, A. (2016) Hierarchic Computations in Geometric Space—Showing Sharp Diffraction in Quasicrystals. Journal of Modern Physics, 7, 43-50. doi: 10.4236/jmp.2016.71005.