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Crystal Lab › Prototype structures › Hexagonal

δ-GaSe

Hexagonal · space group P63mc (No. 186) · Pearson hP16

Symmetry elements and Wyckoff positions (interactive)

δ-GaSe in P63mc

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

Unit cell

Lattice constants
a = 3.755 Å, b = 3.755 Å, c = 31.990 Å; α = 90.00°, β = 90.00°, γ = 120.00°
Cell volume
390.6 ų
Atoms in the conventional cell
16 (Ga 8, Se 8)
Formula units Z
8
Pearson symbol
hP16 — hexagonal / trigonal, primitive lattice, 16 atoms per conventional cell
Symmetry operations
12 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Ga1Ga2a20.00000.00000.9620
Ga2Ga2a20.00000.00000.0391
Se5Se2a20.00000.00000.1790
Se6Se2a20.00000.00000.3280
Ga3Ga2b20.33330.66670.2116
Ga4Ga2b20.33330.66670.2875
Se7Se2b20.33330.66670.5750
Se8Se2b20.33330.66670.4250

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 16 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

AB_hP16_186_2a2b_2a2b-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hP16, then the space-group number 186, then the Wyckoff letters occupied by each element in turn (Ga: 2a; Ga: 2a; Se: 2a; Se: 2a; Ga: 2b; Ga: 2b; Se: 2b; Se: 2b). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Note: \delta-GaSe.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry AB_hP16_186_2a2b_2a2b-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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