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Crystal Lab › Prototype structures › Hexagonal

Co₃W₉C₄

Hexagonal · space group P63/mmc (No. 194) · Pearson hP32

Symmetry elements and Wyckoff positions (interactive)

Co₃W₉C₄ in P63/mmc

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

Unit cell

Lattice constants
a = 7.826 Å, b = 7.826 Å, c = 7.826 Å; α = 90.00°, β = 90.00°, γ = 120.00°
Cell volume
415.1 ų
Atoms in the conventional cell
32 (C 8, Co 12, W 12)
Formula units Z
4
Pearson symbol
hP32 — hexagonal / trigonal, primitive lattice, 32 atoms per conventional cell
Symmetry operations
24 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
C1C2c20.33330.66670.2500
C2C6g60.50001.00000.0000
Co3Co6h60.89000.78000.2500
Co4Co6h60.55500.11000.2500
W5W12k120.20500.41000.0750

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 32 atoms drawn above are these sites multiplied by all 24 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

A2B3C3_hP32_194_cg_2h_k-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hP32, then the space-group number 194, then the Wyckoff letters occupied by each element in turn (C: 2c; C: 6g; Co: 6h; Co: 6h; W: 12k). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A2B3C3_hP32_194_cg_2h_k-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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