Skip to content

Crystal Lab › Prototype structures › Trigonal

Ba₃Cr₂O₈

Trigonal · space group R-3m (No. 166) · Pearson hR13

Symmetry elements and Wyckoff positions (interactive)

Ba₃Cr₂O₈ in R-3m

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

Unit cell

Lattice constants
a = 5.739 Å, b = 5.739 Å, c = 21.376 Å; α = 90.00°, β = 90.00°, γ = 120.00°
Cell volume
609.7 ų
Atoms in the conventional cell
39 (Ba 9, Cr 6, O 24)
Formula units Z
3
Pearson symbol
hR13 — hexagonal / trigonal, rhombohedral lattice, 13 atoms per conventional cell
Symmetry operations
36 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Ba1Ba3a30.00000.00000.0000
Ba2Ba6c60.00000.00000.2061
Cr3Cr6c60.00000.00000.4079
O4O6c60.00000.00000.3336
O5O18h180.16560.83440.5666

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 39 atoms drawn above are these sites multiplied by all 36 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

A3B2C8_hR13_166_ac_c_ch-002: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hR13, then the space-group number 166, then the Wyckoff letters occupied by each element in turn (Ba: 3a; Ba: 6c; Cr: 6c; O: 6c; O: 18h). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Other compounds with this structure

Sr₃Cr₂O₈ <!--beginning with an

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A3B2C8_hR13_166_ac_c_ch-002 (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.

← Shandite (Ni₃Pb₂S₂)  ·  Space group R-3m (75 prototypes)  ·  All prototypes  ·  Ta₂VC₂ →