Pawel Buczek, Lorenzo Sadun, Janusz Wolny Periodic diffraction patterns for 1D quasicrystals (827K, Latex2e with 7 eps figures) ABSTRACT. A simple model of 1D structure based on a Fibonacci sequence with variable atomic spacings is proposed. The model allows for observation of the continuous transition between periodic and non-periodic diffraction patterns. The diffraction patterns are calculated analytically both using ``cut and project" and ``average unit cell'' methods, taking advantage of the physical space properties of the structure. PACS numbers: 61.44.Br, 61.43.-j, 61.10.Dp