A parsimonious structure model for the icosahedral quasicrystal Cd_5.7Yb

A compact structure model for the icosahedral phase Cd_5.7Yb is presented. The model is based on a higher-dimensional description and a cut-and-projection procedure to generate the atom distribution in 3D physical space. It strictly employs only spherical or elliptical occupation domains, ensuring a low number of parameters and low calculation cost. In the presented form the model has seven adjustable parameters. Despite its minimalistic setting, the model reproduces very well available experimental data, such as chemical composition, mass density and electron-density distribution, as well as the cluster structure in physical space. Nevertheless, the approximation of the occupation domains by spheres and ellipses evidently implies limitations in accuracy and universality. The model can be adapted for the description of other Tsai-type icosahedral phases.