Skip to content

Crystal Lab › Prototype structures › Tetragonal

β-Mo₂N_{1-x}

Tetragonal · space group I41/amd (No. 141) · Pearson tI12

Symmetry elements and Wyckoff positions (interactive)

β-Mo₂N_{1-x} in I41/amd

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

Unit cell

Lattice constants
a = 4.200 Å, b = 4.200 Å, c = 8.000 Å; α = 90.00°, β = 90.00°, γ = 90.00°
Cell volume
141.1 ų
Atoms in the conventional cell
12 (N 4, Mo 8)
Formula units Z
4
Pearson symbol
tI12 — tetragonal, body-centred lattice, 12 atoms per conventional cell
Symmetry operations
32 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
N2N4a40.00000.75000.1250
Mo1Mo8e80.00000.25000.1330

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 12 atoms drawn above are these sites multiplied by all 32 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

A2B_tI12_141_e_a-003: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol tI12, then the space-group number 141, then the Wyckoff letters occupied by each element in turn (N: 4a; Mo: 8e). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Note: \beta-Mo₂N.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A2B_tI12_141_e_a-003 (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.

← α-ThSi₂ (C_{c})  ·  Space group I41/amd (21 prototypes)  ·  All prototypes  ·  Ga₂Hf →