Abstract
The structure of the pseudocubic Mg51Zn20 phase, which is related to icosahedral quasicrystals, was interpreted as a modulated crystal. It basically comprises distorted close-packed layers with ordered atomic vacancies. The basic reciprocal-lattice vectors point to the vertices of a distorted icosahedron. A relationship in reciprocal space between the Mg51Zn20 phase and the icosahedral Zn-Mg-Dy quasicrystal was also investigated.