Cluster Self-Organization of Intermetallic Systems: Cluster Precursors K3, K4, K5, K7, and K8 for the Self-Assembly of Lu66Te24-mC90, Te4Lu28-oC32, Lu3(TeLu3)Lu2-hP9, and Lu4Te4-cF8 Crystal Structures

With the help of computer methods (ToposPro software package), a combinatorial topological analysis and modeling of the self-assembly of Lu4Te4-oF8 (Fm-3m, V = 211.0 & ANGS;(3)), Te4Lu28-oC32 (Cmcm, V = 908.3 & ANGS;(3)), Lu-3(TeLu3)Lu-2-hP9 (P-62m, V = 908.3 & ANGS;(3)), and Lu66Te24-mC90 (C12/m1, V = 2467.2 & ANGS;(3)) crystal structures are carried out. For the crystal structure of Lu4Te4-oF8, cluster precursors K8 = 0@Te4Lu4 with symmetry -43m; for Te4Lu28-oC32, tetrahedral cluster precursors K4 = 0@Lu-4 and K4 = 0@TeLu3 with symmetry 2 and m; and for Lu-3(TeLu3)Lu-2, cluster precursors K7 = 0@Lu-3(TeLu3) with symmetry 3m and spacers Lu are established. For the crystal structure of Lu66Te24-mC90, pyramid-shaped cluster precursors K5 = 0@Lu-5 with symmetry 2, tetrahedra K4 = 0@Lu-4 with symmetry 2, tetrahedra K4 = 0@TeLu3, and tetrahedra K4 = 0@Te2Lu2 are established, and rings K3 = 0@TeLu2 are involved in the formation of supraclusters-trimers. The symmetry and topological code of the processes of self-assembly of 3D structures from cluster precursors is reconstructed in the following form: primary chain & RARR; layer & RARR; framework.