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YBa₃B₉O₁₈
Hexagonal · space group P63/m (No. 176) · Pearson hP62
Symmetry elements and Wyckoff positions (interactive)
YBa₃B₉O₁₈ in P63/m
SettingUnit cell
- Lattice constants
- a = 7.176 Å, b = 7.176 Å, c = 16.966 Å; α = 90.00°, β = 90.00°, γ = 120.00°
- Cell volume
- 756.6 ų
- Atoms in the conventional cell
- 62 (Ba 6, Y 2, B 18, O 36)
- Formula units Z
- 2
- Pearson symbol
- hP62 — hexagonal / trigonal, primitive lattice, 62 atoms per conventional cell
- Symmetry operations
- 12 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Ba3 | Ba | 2a | 2 | 0.0000 | 0.0000 | 0.2500 |
| Y9 | Y | 2b | 2 | 0.0000 | 0.0000 | 0.0000 |
| Ba4 | Ba | 4f | 4 | 0.3333 | 0.6667 | 0.6311 |
| B1 | B | 6h | 6 | 0.5065 | 0.8855 | 0.2500 |
| O5 | O | 6h | 6 | 0.2916 | 0.8340 | 0.2500 |
| O6 | O | 6h | 6 | 0.6692 | 0.0815 | 0.2500 |
| B2 | B | 12i | 12 | 0.5512 | 0.7146 | 0.0827 |
| O7 | O | 12i | 12 | 0.4977 | 0.8774 | 0.0811 |
| O8 | O | 12i | 12 | 0.7515 | 0.7539 | 0.0818 |
The multiplicity and the Wyckoff letter say how many copies of the site the group makes in one cell and on which kind of symmetry element the site sits; the 62 atoms drawn above are these sites multiplied by all 12 operations. Press Wyckoff under Colour to see the sites, and tick a symmetry element on the left to see which atoms lie on it.
How to read the label
A9B3C18D_hP62_176_hi_af_2h2i_b-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hP62, then the space-group number 176, then the Wyckoff letters occupied by each element in turn (Ba: 2a; Y: 2b; Ba: 4f; B: 6h; O: 6h; O: 6h; B: 12i; O: 12i; O: 12i). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Other compounds with this structure
DyBa₃B₉O₁₈, ErBa₃B₉O₁₈, EuBa₃B₉O₁₈, GdBa₃B₉O₁₈, HoBa₃B₉O₁₈, NdBa₃B₉O₁₈, PrBa₃B₉O₁₈, ScBa₃B₉O₁₈, SmBa₃B₉O₁₈, TbBa₃B₉O₁₈, TmBa₃B₉O₁₈, YbBa₃B₉O₁₈ <!--beginning with an
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A9B3C18D_hP62_176_hi_af_2h2i_b-001 (M. J. Mehl et al., Comput. Mater. Sci. 136, S1 (2017); D. Hicks et al., ibid. 161, S1 (2019) and 199, 110450 (2021); S. Eckert et al., ibid. 240, 112988 (2024)). Symmetry elements, Wyckoff assignment and the diagram are computed on this page from the group operations.
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