Crystallographic analysis of the structure of scandium borocarbosilicide. Hierarchy in the highly symmetrical ordering of atomic groups and atoms

A crystallographic analysis of the highly symmetrical cubic structure of Sc_0,8B_9,64C_0,53Si_0,057 is conducted of both centers of the [B₁₂] and [B₁₀] cluster groups with Sc and Si atoms and separately all individual atoms. In the first case, the analysis reveals an ordering with an I_cub sublattice (a ∼ 5.1 Aa) and a competing ordering with an F_cub sublattice (a ∼ 6.8 Aa). In the second case (for individual atoms), the analysis reveals orderings with analogous sublattices with twice as small parameters.