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Crystal Lab › Prototype structures › Orthorhombic

β-Li₃PS₄

Orthorhombic · space group Pnma (No. 62) · Pearson oP36

Symmetry elements and Wyckoff positions (interactive)

β-Li₃PS₄ in Pnma

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

Unit cell

Lattice constants
a = 12.819 Å, b = 8.220 Å, c = 6.124 Å; α = 90.00°, β = 90.00°, γ = 90.00°
Cell volume
645.2 ų
Atoms in the conventional cell
36 (Li 16, P 4, S 16)
Formula units Z
4
Pearson symbol
oP36 — orthorhombic, primitive lattice, 36 atoms per conventional cell
Symmetry operations
8 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Li1Li4a40.00000.00000.0000
Li2Li4c40.99900.25000.3890
P3P4c40.08720.25000.6719
S4S4c40.93460.25000.7574
S5S4c40.10680.25000.3366
Li6Li8d80.35620.01300.9390
S7S8d80.15510.04580.7852

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 36 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

A4BC4_oP36_62_acd_c_2cd-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol oP36, then the space-group number 62, then the Wyckoff letters occupied by each element in turn (Li: 4a; Li: 4c; P: 4c; S: 4c; S: 4c; Li: 8d; S: 8d). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Note: \beta-Li₃PS₄.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A4BC4_oP36_62_acd_c_2cd-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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