Abstract
The cluster units obtained by the capping of all faces of a tetrahedron (tetrahedral star, TS) and a trigonal bipyramid (double tetrahedral star, DTS) are used as building units to describe and rationalize framework structures found in the intermetallic structure types NaBa, NaZn13, Th6Mn23, Ba2Li4.21Al4.79, BaHg11, BaCd11, Cr23C6, β-Mn, Ba3Li3Ga4.1, BaLi4, CaZn3, EuMg5.2, ErZn5, Sr3Mg13, and Sr9Li17.5Al25.5. The electronic requirements for optimum structural stability of these frameworks in the case of sp-bonding have been investigated with the simple tight-binding Huckel model. As a result the networks exhibit a pronounced maximum of stability in the range of 2.1−2.6 electrons per atom with the particular optimum values slightly depending on the kind of basis cluster and its connectivity. Considering the sp-bonded representatives of the above mentioned structure types, the frameworks described by the basis clusters TS and DTS are usually formed by the divalent metals Be, Mg, Zn, Cd, and Hg or a combinat...
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