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Crystal Lab › Prototype structures › Hexagonal

BaAl₂O₄ (H2₈)

Hexagonal · space group P6322 (No. 182) · Pearson hP18 · Strukturbericht H28

Symmetry elements and Wyckoff positions (interactive)

BaAl₂O₄ (H2₈) in P6322

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

Unit cell

Lattice constants
a = 5.218 Å, b = 5.218 Å, c = 8.781 Å; α = 90.00°, β = 90.00°, γ = 120.00°
Cell volume
207.1 ų
Atoms in the conventional cell
18 (Ba 2, Al 4, O 12)
Formula units Z
2
Pearson symbol
hP18 — hexagonal / trigonal, primitive lattice, 18 atoms per conventional cell
Symmetry operations
12 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Ba2Ba2b20.00000.00000.2500
Al1Al4f40.33330.66670.0540
O3O6g60.36000.00000.0000
O4O6h60.37100.74200.2500

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 18 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

A2BC6_hP18_182_f_b_gh-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hP18, then the space-group number 182, then the Wyckoff letters occupied by each element in turn (Ba: 2b; Al: 4f; O: 6g; O: 6h). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Note: H2₈.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A2BC6_hP18_182_f_b_gh-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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