Skip to content

Crystal Lab › Prototype structures › Hexagonal

β-Be₃N₂

Hexagonal · space group P63/mmc (No. 194) · Pearson hP10

Symmetry elements and Wyckoff positions (interactive)

β-Be₃N₂ in P63/mmc

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

Unit cell

Lattice constants
a = 2.841 Å, b = 2.841 Å, c = 9.693 Å; α = 90.00°, β = 90.00°, γ = 120.00°
Cell volume
67.8 ų
Atoms in the conventional cell
10 (N 4, Be 6)
Formula units Z
2
Pearson symbol
hP10 — hexagonal / trigonal, primitive lattice, 10 atoms per conventional cell
Symmetry operations
24 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
N3N2a20.00000.00000.0000
Be1Be2b20.00000.00000.2500
N4N2c20.33330.66670.2500
Be2Be4f40.33330.66670.0750

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 10 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

A3B2_hP10_194_bf_ac-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hP10, then the space-group number 194, then the Wyckoff letters occupied by each element in turn (N: 2a; Be: 2b; N: 2c; Be: 4f). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Note: \beta-Be₃N₂.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A3B2_hP10_194_bf_ac-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.

← S3₄(II) (Catapleiite, Na₂Zr(SiO₃)₃ cdotH₂O) Structure ( Obsolete ): A3B2C9D3E_hP36_194_g_f_hk_h_a-001  ·  Space group P63/mmc (74 prototypes)  ·  All prototypes  ·  Disordered YBO₃ — BO₃Y →