Crystal Lab › Prototype structures › Trigonal
YbBaCo₄O₇
Trigonal · space group P31c (No. 159) · Pearson hP26
Symmetry elements and Wyckoff positions (interactive)
YbBaCo₄O₇ in P31c
SettingUnit cell
- Lattice constants
- a = 6.265 Å, b = 6.265 Å, c = 10.228 Å; α = 90.00°, β = 90.00°, γ = 120.00°
- Cell volume
- 347.7 ų
- Atoms in the conventional cell
- 26 (Co 8, O 14, Ba 2, Yb 2)
- Formula units Z
- 2
- Pearson symbol
- hP26 — hexagonal / trigonal, primitive lattice, 26 atoms per conventional cell
- Symmetry operations
- 6 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Co2 | Co | 2a | 2 | 0.0000 | 1.0000 | 0.0000 |
| O4 | O | 2a | 2 | 0.0000 | 1.0000 | 0.3057 |
| Ba1 | Ba | 2b | 2 | 0.3333 | 0.6667 | 0.0613 |
| Yb7 | Yb | 2b | 2 | 0.3333 | 0.6667 | 0.4379 |
| Co3 | Co | 6c | 6 | 0.3425 | 0.1575 | 0.2472 |
| O5 | O | 6c | 6 | 0.0015 | 0.5149 | 0.3102 |
| O6 | O | 6c | 6 | 0.3347 | 0.1157 | 0.0618 |
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 26 atoms drawn above are these sites multiplied by all 6 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
AB4C7D_hP26_159_b_ac_a2c_b-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hP26, then the space-group number 159, then the Wyckoff letters occupied by each element in turn (Co: 2a; O: 2a; Ba: 2b; Yb: 2b; Co: 6c; O: 6c; O: 6c). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry AB4C7D_hP26_159_b_ac_a2c_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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