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Ba₅Yb₈Ni₄O₂₁
Tetragonal · space group I4/m (No. 87) · Pearson tI76
Symmetry elements and Wyckoff positions (interactive)
Ba₅Yb₈Ni₄O₂₁ in I4/m
SettingUnit cell
- Lattice constants
- a = 13.553 Å, b = 13.553 Å, c = 5.638 Å; α = 90.00°, β = 90.00°, γ = 90.00°
- Cell volume
- 1035.6 ų
- Atoms in the conventional cell
- 76 (Ba 10, O 42, Ni 8, Yb 16)
- Formula units Z
- 2
- Pearson symbol
- tI76 — tetragonal, body-centred lattice, 76 atoms per conventional cell
- Symmetry operations
- 16 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Ba1 | Ba | 2a | 2 | 0.0000 | 0.0000 | 0.0000 |
| O4 | O | 2b | 2 | 0.0000 | 0.0000 | 0.5000 |
| Ba2 | Ba | 8h | 8 | 0.1387 | 0.4618 | 0.0000 |
| Ni3 | Ni | 8h | 8 | 0.0412 | 0.2448 | 0.0000 |
| O5 | O | 8h | 8 | 0.3677 | 0.0377 | 0.0000 |
| Yb8 | Yb | 8h | 8 | 0.2499 | 0.1668 | 0.0000 |
| Yb9 | Yb | 8h | 8 | 0.4119 | 0.3569 | 0.0000 |
| O6 | O | 16i | 16 | 0.1472 | 0.2591 | 0.2456 |
| O7 | O | 16i | 16 | 0.6788 | 0.5470 | 0.7476 |
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 76 atoms drawn above are these sites multiplied by all 16 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
A5B4C21D8_tI76_87_ah_h_bh2i_2h-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol tI76, then the space-group number 87, then the Wyckoff letters occupied by each element in turn (Ba: 2a; O: 2b; Ba: 8h; Ni: 8h; O: 8h; Yb: 8h; Yb: 8h; O: 16i; O: 16i). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Other compounds with this structure
Ba₅Dy₈Zn₄O₂₁, Ba₅Eu₈Zn₄O₂₁, Ba₅Gd₈Mn₄O₂₁, Ba₅Gd₈Zn₄O₂₁, Ba₅Ho₈Mn₄O₂₁, Ba₅Ho₈Zn₄O₂₁, Ba₅Lu₈Ni₄O₂₁, Ba₅Nd₈Mn₄O₂₁, Ba₅Sm₈Mn₄O₂₁, Ba₅Tm₈Ni₄O₂₁ <!--beginning with an
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A5B4C21D8_tI76_87_ah_h_bh2i_2h-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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