Interpretation of some Yb-based valence-fluctuating crystals as approximants to a dodecagonal quasicrystal
Autor: | Ishimasa, Tsutomu, Mihalkovič, Marek, Deguchi, Kazuhiko, Sato, Noriaki K., de Boissieu, Marc |
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Rok vydání: | 2018 |
Předmět: | |
Druh dokumentu: | Working Paper |
DOI: | 10.1080/14786435.2018.1470339 |
Popis: | The hexagonal ZrNiAl-type (space group: P-62m) and the tetragonal Mo2FeB2-type (space group: P4/mbm) structures, which are frequently formed in the same Yb-based alloys and exhibit physical properties related to valence-fluctuation, can be regarded as approximants of a hypothetical dodecagonal quasicrystal. Using Pd-Sn-Yb system as an example, a model of quasicrystal structure has been constructed, of which 5-dimensional crystal (space group: P12/mmm, aDD=5.66 {\AA} and c=3.72 {\AA}) consists of four types of acceptance regions located at the following crystallographic sites; Yb [00000], Pd[1/3 0 1/3 0 1/2], Pd[1/3 1/3 1/3 1/3 0] and Sn[1/2 00 1/2 1/2]. In the 3-dimensional space, the quasicrystal is composed of three types of columns, of which c-projections correspond to a square, an equilateral triangle and a 3-fold hexagon. They are fragments of two known crystals, the hexagonal {\alpha}-YbPdSn and the tetragonal Yb2Pd2Sn structures. The model of the hypothetical quasicrystal may be applicable as a platform to treat in a unified manner the heavy fermion properties in the two types of Yb-based crystals. Comment: 19 pages, 6 figures |
Databáze: | arXiv |
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