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Crystal Lab › Prototype structures › Hexagonal

Original BN (B12) Structure ( Obsolete ): AB_hP4_186_b_a-001

Hexagonal · space group P63mc (No. 186) · Pearson hP4 · Strukturbericht B12

Symmetry elements and Wyckoff positions (interactive)

Original BN (B12) Structure ( Obsolete ): AB_hP4_186_b_a-001 in P63mc

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

Unit cell

Lattice constants
a = 2.510 Å, b = 2.510 Å, c = 6.700 Å; α = 90.00°, β = 90.00°, γ = 120.00°
Cell volume
36.6 ų
Atoms in the conventional cell
4 (N 2, B 2)
Formula units Z
2
Pearson symbol
hP4 — hexagonal / trigonal, primitive lattice, 4 atoms per conventional cell
Symmetry operations
12 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
N2N2a20.00000.00000.0000
B1B2b20.33330.66670.0500

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 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_hP4_186_b_a-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 186, then the Wyckoff letters occupied by each element in turn (N: 2a; B: 2b). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Note: B12 (Obsolete).

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry AB_hP4_186_b_a-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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