Skip to content

Crystal Lab › Prototype structures › Trigonal

YbBaCo₄O₇

Trigonal · space group P31c (No. 159) · Pearson hP26

Symmetry elements and Wyckoff positions (interactive)

YbBaCo₄O₇ in P31c

Setting
Loading the group…
x = 0.10, y = 0.17, z = 0.08

Unit 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

SiteElementWyckoffMultiplicityxyz
Co2Co2a20.00001.00000.0000
O4O2a20.00001.00000.3057
Ba1Ba2b20.33330.66670.0613
Yb7Yb2b20.33330.66670.4379
Co3Co6c60.34250.15750.2472
O5O6c60.00150.51490.3102
O6O6c60.33470.11570.0618

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.

← α-Si₃N₄ (Nierite)  ·  Space group P31c (3 prototypes)  ·  All prototypes