Crystal Lab › Prototype structures › Hexagonal
GdSI
Hexagonal · space group P-6 (No. 174) · Pearson hP12
Symmetry elements and Wyckoff positions (interactive)
GdSI in P-6
SettingUnit 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
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Gd1 | Gd | 1a | 1 | 0.0000 | 0.0000 | 0.0000 |
| I3 | I | 1d | 1 | 0.3333 | 0.6667 | 0.5000 |
| S5 | S | 1e | 1 | 0.6667 | 0.3333 | 0.0000 |
| Gd2 | Gd | 3j | 3 | 0.5123 | 0.4807 | 0.0000 |
| S6 | S | 3j | 3 | 0.7013 | 0.8507 | 0.0000 |
| I4 | I | 3k | 3 | 0.8313 | 0.1837 | 0.5000 |
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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