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Onion-Like Inorganic Fullerenes from a Polyhedral Perspective
Published in Klaus D. Sattler, st Century Nanoscience – A Handbook, 2020
Ch. Chang, A. B. C. Patzer, D. Sülzle, H. Bauer
The family of Frank–Kasper polyhedra is intimately related to that of the fullerenes. They form a subset of the deltahedra, which are characterized by having only triangular faces, not necessarily equilateral.4 A particular family of deltahedra is formed by those with just five- or sixfold vertices (i.e. either five or six edges meeting at each vertex). The smaller members of this family (those with 14, 15, or 16 vertices, shown in Figure 15.5) are actually known as Frank–Kasper polyhedra (Frank and Kasper 1958,1959) and appear often as coordination polyhedra in intermetallic phases. To avoid confusion with other types of deltahedra, one could generally call Frank–Kasper polyhedra all those with Only triangles as faces (not necessarily regular)Only five- and sixfold vertices.
First-principles investigation of grain boundary structure effects on hydrogen solubility and segregation in tungsten
Published in Journal of Nuclear Science and Technology, 2021
Wenhao He, Xing Gao, Liangfu Zhou, Dongyan Yang, Zhiguang Wang, Juntao Liu, Zhiyi Liu, Yuhong Li
Similar to our previous investigations [30,31], eight symmetric tilt GBs, ∑3(110)[111], ∑3(111)[110], ∑5(310)[001], ∑5(210)[001], ∑9(114)[110], ∑11(332)[110], ∑17(410)[001], and ∑19(116)[110] were constructed by the CSL model [22], and the interstitial sites were identified with convex deltahedra in this study. There are five types of convex deltahedron, tetrahedron (TET), octahedron (OCT), pentagonal bipyramid (PBP), cap trigonal prism (CTP), and bitetrahedron (BTE) in these eight GBs studied here. The detailed schemes of constructing GBs and identifying interstitial sites in these GBs were elaborated in our previous studies [30,31].