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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

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

Unit 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

SiteElementWyckoffMultiplicityxyz
Cd2Cd1a10.00000.00000.0833
Cd3Cd1a10.00000.00000.4167
I9I1a10.00000.00000.8333
Cd1Cd1b10.33330.66670.7500
I7I1b10.33330.66670.1667
I8I1b10.33330.66670.5000
I4I1c10.66670.33330.0000
I5I1c10.66670.33330.6667
I6I1c10.66670.33330.3333

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.

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