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Crystal Lab › Prototype structures › Orthorhombic

BPS₄

Orthorhombic · space group I222 (No. 23) · Pearson oI12

Symmetry elements and Wyckoff positions (interactive)

BPS₄ in I222

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

Unit cell

Lattice constants
a = 5.250 Å, b = 9.040 Å, c = 5.600 Å; α = 90.00°, β = 90.00°, γ = 90.00°
Cell volume
265.8 ų
Atoms in the conventional cell
12 (B 2, P 2, S 8)
Formula units Z
2
Pearson symbol
oI12 — orthorhombic, body-centred lattice, 12 atoms per conventional cell
Symmetry operations
8 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
B1B2a20.00000.00000.0000
P2P2b20.50000.00000.0000
S3S8k80.79000.88500.2000

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 12 atoms drawn above are these sites multiplied by all 8 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_oI12_23_a_b_k-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol oI12, then the space-group number 23, then the Wyckoff letters occupied by each element in turn (B: 2a; P: 2b; S: 8k). 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 ABC4_oI12_23_a_b_k-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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