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Crystal Lab › Prototype structures › Trigonal

BiTeI

Trigonal · space group P3m1 (No. 156) · Pearson hP3

Symmetry elements and Wyckoff positions (interactive)

BiTeI in P3m1

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

Unit cell

Lattice constants
a = 4.339 Å, b = 4.339 Å, c = 6.854 Å; α = 90.00°, β = 90.00°, γ = 120.00°
Cell volume
111.8 ų
Atoms in the conventional cell
3 (Bi 1, I 1, Te 1)
Formula units Z
1
Pearson symbol
hP3 — hexagonal / trigonal, primitive lattice, 3 atoms per conventional cell
Symmetry operations
6 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Bi1Bi1a10.00000.00000.0000
I2I1b10.33330.66670.2510
Te3Te1c10.66670.33330.6928

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 3 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_hP3_156_a_b_c-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hP3, then the space-group number 156, then the Wyckoff letters occupied by each element in turn (Bi: 1a; I: 1b; Te: 1c). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Other compounds with this structure

BiBrTe, OSTi <!--beginning with an

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry ABC_hP3_156_a_b_c-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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