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Crystal Lab › Prototype structures › Hexagonal

Lonsdaleite (Hexagonal Diamond)

Hexagonal · space group P63/mmc (No. 194) · Pearson hP4 · mineral: lonsdaleite

Symmetry elements and Wyckoff positions (interactive)

Lonsdaleite (Hexagonal Diamond) in P63/mmc

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

Unit cell

Lattice constants
a = 2.508 Å, b = 2.508 Å, c = 4.183 Å; α = 90.00°, β = 90.00°, γ = 120.00°
Cell volume
22.8 ų
Atoms in the conventional cell
4 (C 4)
Formula units Z
4
Pearson symbol
hP4 — hexagonal / trigonal, primitive lattice, 4 atoms per conventional cell
Symmetry operations
24 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
C1C4f40.33330.66670.0600

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 4 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

A_hP4_194_f-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hP4, then the space-group number 194, then the Wyckoff letters occupied by each element in turn (C: 4f). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Other compounds with this structure

Ge (hexagonal), H (hexagonal), N (hexagonal), O (hexagonal), Si (hexagonal) <!--beginning with an

Note: Lonsdaleite.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A_hP4_194_f-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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