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Cluster Self-Organization of Intermetallic Systems: K3, K4, K5, K6, and K13 Clusters-Precursors for the Self-Assembly of U8Ni10Al36-mC54, U20Ni26-mC46, and U8Co8-cI16 Crystal Structures

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Abstract

Using computer methods (the ToposPro software package), a combinatorial topological analysis and modeling of the self-assembly of U8Ni10Al36-mC54 (a = 15.5470 Å, b = 4.0610 Å, c = 16.4580 Å, β = 120.00°, V = 899.89 Å3, C m), U20Ni26-mC46 (a = 7.660 Å, b = 13.080 Å, c = 7.649 Å, β = 108.88°, V = 725.26 Å3, C2/m), and U8Co8-cI16 (a = 6.343 Å, V = 255.20 Å3, I 213) are carried out. For the U8Ni10Al36-mC54 crystal structure, 960 variants of the cluster representation of the 3D atomic grid with the number of structural units 5, 6, and 7 are established. Six crystallographically independent structural units in the form of a pyramid K5 = 0@Al(U2Al2), pyramid K6A = 0@U(NiAl4), and pyramid K6B = 0@U(NiAl4), as well as rings K3A = 0@NiAl2, K3B = 0@NiAl2, and K3C = 0@Al3, are determined. For the U20Ni26-mC46 crystal structure, the structural units K5 = Ni(Ni2U2) and icosahedra K13= Ni@Ni6U6 are defined. For the crystal structure U2Co2-cI16, the structural units—tetrahedra K4 = U2Co2—are defined. The symmetry and topological code of the processes of self-assembly of 3D structures from clusters-precursors are reconstructed in the following form: primary chain → layer → framework.

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Authors and Affiliations

  1. Grebenshchikov Institute of Silicate Chemistry, Russian Academy of Sciences, 199034, St. Petersburg, Russia

    V. Ya. Shevchenko

  2. Federal Research Center “Crystallography and Photonics”, 119333, Moscow, Russia

    G. D. Ilyushin

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  1. V. Ya. Shevchenko
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  2. G. D. Ilyushin
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Shevchenko, V.Y., Ilyushin, G.D. Cluster Self-Organization of Intermetallic Systems: K3, K4, K5, K6, and K13 Clusters-Precursors for the Self-Assembly of U8Ni10Al36-mC54, U20Ni26-mC46, and U8Co8-cI16 Crystal Structures. Glass Phys Chem 49, 327–335 (2023). https://doi.org/10.1134/S1087659623600321

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