Statistical analysis of random sphere packings with variable radius distribution

Many solid state systems can be modelled by means of packings of hard spheres of variable size. Therefore the spatial-statistical analysis of the geometrical structure of such packings is of great scientific interest. The present paper starts with the application of classical characteristics such as packing fraction, coordination number and pair correlation function for the characterization of sphere packings. Then, the application of tessellation-based methods follows, which includes the analysis of correlations between cell face and coordination numbers. Finally, a search method for crystalline sub-structures is presented.

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