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Crystal Lab › Prototype structures › Orthorhombic

α-Li₃PS₄

Orthorhombic · space group Pbcn (No. 60) · Pearson oP28

Symmetry elements and Wyckoff positions (interactive)

α-Li₃PS₄ in Pbcn

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

Unit cell

Lattice constants
a = 8.613 Å, b = 9.021 Å, c = 8.426 Å; α = 90.00°, β = 90.00°, γ = 90.00°
Cell volume
654.7 ų
Atoms in the conventional cell
28 (P 4, Li 8, S 16)
Formula units Z
4
Pearson symbol
oP28 — orthorhombic, primitive lattice, 28 atoms per conventional cell
Symmetry operations
8 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
P1P4c40.00000.82730.2500
Li2Li8d80.70800.63100.0690
S3S8d80.30690.45330.2500
S4S8d80.00420.29410.5498

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 28 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

A2BC4_oP28_60_d_c_2d-002: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol oP28, then the space-group number 60, then the Wyckoff letters occupied by each element in turn (P: 4c; Li: 8d; S: 8d; S: 8d). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Note: α-Li₃PS₄.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A2BC4_oP28_60_d_c_2d-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.

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