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Crystal Lab › Prototype structures › Trigonal

Alarsite (AlAsO₄)

Trigonal · space group P3121 (No. 152) · Pearson hP18 · mineral: alarsite

Symmetry elements and Wyckoff positions (interactive)

Alarsite (AlAsO₄) in P3121

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

Unit cell

Lattice constants
a = 5.028 Å, b = 5.028 Å, c = 11.228 Å; α = 90.00°, β = 90.00°, γ = 120.00°
Cell volume
245.8 ų
Atoms in the conventional cell
18 (Al 3, As 3, O 12)
Formula units Z
3
Pearson symbol
hP18 — hexagonal / trigonal, primitive lattice, 18 atoms per conventional cell
Symmetry operations
6 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Al1Al3a30.45860.00000.3333
As2As3b30.45740.00000.8333
O3O6c60.40720.29680.3861
O4O6c60.40400.28370.8804

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 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

ABC4_hP18_152_a_b_2c-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 152, then the Wyckoff letters occupied by each element in turn (Al: 3a; As: 3b; O: 6c; O: 6c). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Other compounds with this structure

AlPO₄ (berlinite), AsGaO₄, BLiF₄, BPO₄, FePO₄, GaPO₄ <!--beginning with an

Note: Alarsite.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry ABC4_hP18_152_a_b_2c-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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