Abstract—
A combinatory topological analysis and simulation of the self-assembly of the crystal structure of Ca11Hg54–hP65 (a = b = 17.114 Å, c = 10.442 Å, hexagonal group P-6) are performed by computer methods (ToposPro software package). A total of 184 variants of the cluster representation of the 3D atomic lattice with a number of structural units of 3–7 are established. The polyhedral clusters K8 = 0@Ca2Hg6, which appeared to be hexagonal bipyramids, the polyhedral clusters K11 = 0@Ca3Hg8, and the polyhedral clusters with the central Hg atom K12 = Hg(Ca3Hg8) are determined. The centers of the Ca2Hg6, 0@Ca3Hg8 and Hg(Ca3Hg8) clusters occupied the highly symmetric positions 1c, 1b, and 1f with a –6 symmetry. The precursor clusters Ca2Hg6 represent templates on the surface of which atomic shells of 38 atoms are formed. The composition of the two-layered template cluster K46 is 0@8(Ca2Hg6)@38(Hg6 + CaHg6)2(Ca6Hg6). The symmetry and topological code for the self-assembly processes of the 3D structure from the nanoclusters-precursors K46 with participation of the polyhedral clusters 0@Ca3Hg8 and Hg(Ca3Hg8) are simulated.
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This work was carried put with the support of the Russian Foundation for Basic Research (project no. 19-02-00636) and the Ministry of Science and Higher Education as a part of the State Order of the Russian Federal Research Center for Crystallography and Photonics.
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Translated by D. Marinin
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Shevchenko, V.Y., Blatov, V.A. & Il’yushin, G.D. Cluster Self-Organization of Intermetallic Systems: New Two-Layer Cluster-Precursor K46 = 0 @8(Ca2Hg6)@38(Hg6 + CaHg6)2(Ca6Hg6) for Self-Assembly of the Crystal Structure of Ca11Hg54–hP65. Glass Phys Chem 46, 1–5 (2020). https://doi.org/10.1134/S1087659620010198
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DOI: https://doi.org/10.1134/S1087659620010198