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Crystal Lab › Prototype structures › Tetragonal

Theoretical δ-Li₃PS₄

Tetragonal · space group P-421c (No. 114) · Pearson tP16

Symmetry elements and Wyckoff positions (interactive)

Theoretical δ-Li₃PS₄ in P-421c

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

Unit cell

Lattice constants
a = 5.807 Å, b = 5.807 Å, c = 6.892 Å; α = 90.00°, β = 90.00°, γ = 90.00°
Cell volume
232.4 ų
Atoms in the conventional cell
16 (Li 6, P 2, S 8)
Formula units Z
2
Pearson symbol
tP16 — tetragonal, primitive lattice, 16 atoms per conventional cell
Symmetry operations
8 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Li1Li2a20.00000.00000.0000
P2P2b20.00000.00000.5000
Li3Li4d40.00000.50000.0943
S4S8e80.17560.23730.3404

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 16 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

A3BC4_tP16_114_ad_b_e-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol tP16, then the space-group number 114, then the Wyckoff letters occupied by each element in turn (Li: 2a; P: 2b; Li: 4d; S: 8e). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Note: \delta-Li₃PS₄.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A3BC4_tP16_114_ad_b_e-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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