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Crystal Lab › Prototype structures › Trigonal

Pd₃P₂S₈

Trigonal · space group P-3m1 (No. 164) · Pearson hP13

Symmetry elements and Wyckoff positions (interactive)

Pd₃P₂S₈ in P-3m1

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

Unit cell

Lattice constants
a = 6.842 Å, b = 6.842 Å, c = 7.247 Å; α = 90.00°, β = 90.00°, γ = 120.00°
Cell volume
293.8 ų
Atoms in the conventional cell
13 (P 2, S 8, Pd 3)
Formula units Z
1
Pearson symbol
hP13 — hexagonal / trigonal, primitive lattice, 13 atoms per conventional cell
Symmetry operations
12 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
P1P2d20.33330.66670.6684
S3S2d20.33330.66670.4052
Pd2Pd3e30.50001.00000.0000
S4S6i60.17860.82140.8127

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 13 atoms drawn above are these sites multiplied by all 12 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

A2B3C8_hP13_164_d_e_di-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hP13, then the space-group number 164, then the Wyckoff letters occupied by each element in turn (P: 2d; S: 2d; Pd: 3e; S: 6i). 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 A2B3C8_hP13_164_d_e_di-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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