Crystal Lab › Prototype structures › Trigonal
CdI₂ (Polytype 6H₁)
Trigonal · space group P3m1 (No. 156) · Pearson hP9
Symmetry elements and Wyckoff positions (interactive)
CdI₂ (Polytype 6H₁) in P3m1
SettingUnit cell
- Lattice constants
- a = 4.240 Å, b = 4.240 Å, c = 20.500 Å; α = 90.00°, β = 90.00°, γ = 120.00°
- Cell volume
- 319.2 ų
- Atoms in the conventional cell
- 9 (Cd 3, I 6)
- Formula units Z
- 3
- Pearson symbol
- hP9 — hexagonal / trigonal, primitive lattice, 9 atoms per conventional cell
- Symmetry operations
- 6 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Cd2 | Cd | 1a | 1 | 0.0000 | 0.0000 | 0.0833 |
| Cd3 | Cd | 1a | 1 | 0.0000 | 0.0000 | 0.4167 |
| I9 | I | 1a | 1 | 0.0000 | 0.0000 | 0.8333 |
| Cd1 | Cd | 1b | 1 | 0.3333 | 0.6667 | 0.7500 |
| I7 | I | 1b | 1 | 0.3333 | 0.6667 | 0.1667 |
| I8 | I | 1b | 1 | 0.3333 | 0.6667 | 0.5000 |
| I4 | I | 1c | 1 | 0.6667 | 0.3333 | 0.0000 |
| I5 | I | 1c | 1 | 0.6667 | 0.3333 | 0.6667 |
| I6 | I | 1c | 1 | 0.6667 | 0.3333 | 0.3333 |
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 9 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
AB2_hP9_156_2ab_a2b3c-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hP9, then the space-group number 156, then the Wyckoff letters occupied by each element in turn (Cd: 1a; Cd: 1a; I: 1a; Cd: 1b; I: 1b; I: 1b; I: 1c; I: 1c; I: 1c). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Other compounds with this structure
PdTe₂, PtTe₂, SnS₂ (berndtite) <!--beginning with an
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry AB2_hP9_156_2ab_a2b3c-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.
· Space group P3m1 (5 prototypes) · All prototypes · Belomarinaite (KNaSO₄) →