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GdSI

Hexagonal · space group P-6 (No. 174) · Pearson hP12

Symmetry elements and Wyckoff positions (interactive)

GdSI in P-6

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

Unit cell

Lattice constants
a = 10.737 Å, b = 10.737 Å, c = 4.179 Å; α = 90.00°, β = 90.00°, γ = 120.00°
Cell volume
417.2 ų
Atoms in the conventional cell
12 (Gd 4, I 4, S 4)
Formula units Z
4
Pearson symbol
hP12 — hexagonal / trigonal, primitive lattice, 12 atoms per conventional cell
Symmetry operations
6 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Gd1Gd1a10.00000.00000.0000
I3I1d10.33330.66670.5000
S5S1e10.66670.33330.0000
Gd2Gd3j30.51230.48070.0000
S6S3j30.70130.85070.0000
I4I3k30.83130.18370.5000

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 6 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

ABC_hP12_174_aj_dk_ej-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hP12, then the space-group number 174, then the Wyckoff letters occupied by each element in turn (Gd: 1a; I: 1d; S: 1e; Gd: 3j; S: 3j; I: 3k). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Other compounds with this structure

TbSI, DySI <!--beginning with an

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry ABC_hP12_174_aj_dk_ej-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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