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Crystal Lab › Prototype structures › Trigonal

Bohdanowiczite (AgBiSe₂)

Trigonal · space group P-3m1 (No. 164) · Pearson hP12 · mineral: bohdanowiczite

Symmetry elements and Wyckoff positions (interactive)

Bohdanowiczite (AgBiSe₂) in P-3m1

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

Unit cell

Lattice constants
a = 4.180 Å, b = 4.180 Å, c = 19.670 Å; α = 90.00°, β = 90.00°, γ = 120.00°
Cell volume
297.6 ų
Atoms in the conventional cell
12 (Ag 3, Bi 3, Se 6)
Formula units Z
3
Pearson symbol
hP12 — hexagonal / trigonal, primitive lattice, 12 atoms per conventional cell
Symmetry operations
12 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Ag1Ag1a10.00000.00000.0000
Bi3Bi1b10.00000.00000.5000
Se5Se2c20.00000.00000.2480
Ag2Ag2d20.33330.66670.6730
Bi4Bi2d20.33330.66670.1630
Se6Se2d20.33330.66670.9260
Se7Se2d20.33330.66670.4060

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 12 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

ABC2_hP12_164_ad_bd_c2d-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 164, then the Wyckoff letters occupied by each element in turn (Ag: 1a; Bi: 1b; Se: 2c; Ag: 2d; Bi: 2d; Se: 2d; Se: 2d). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Other compounds with this structure

AgBiS₂, AgBiTe₂ <!--beginning with an

Note: Bohdanowiczite.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry ABC2_hP12_164_ad_bd_c2d-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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