title: Structure factor for decorated Penrose tiling in physical space.
abstract: The structure factor for an arbitrarily decorated Penrose tiling has been calculated in the average unit cell description. The obtained formula uses only the physical coordinates of the atoms decorating a structure. The final equation can be easily extended so that it can describe the other physical properties of a structure. Its usefulness is demonstrated by its use in the Al-Ni-Co alloy structure-refinement process.
authors.affiliation: Faculty of Physics and Applied Computer Science, AGH University of Science and Technology, 30-059 Kraków, al. Mickiewicza 30, Poland.
authors.forename: Bartłomiej
authors.initials: B
authors.lastname: Kozakowski
authors.forename: Janusz
authors.initials: J
authors.lastname: Wolny