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Crystal Lab › Prototype structures › Tetragonal

MnF₂

Tetragonal · space group P-42m (No. 111) · Pearson tP12

Symmetry elements and Wyckoff positions (interactive)

MnF₂ in P-42m

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

Unit cell

Lattice constants
a = 5.122 Å, b = 5.122 Å, c = 5.256 Å; α = 90.00°, β = 90.00°, γ = 90.00°
Cell volume
137.9 ų
Atoms in the conventional cell
12 (Mn 4, F 8)
Formula units Z
4
Pearson symbol
tP12 — tetragonal, primitive lattice, 12 atoms per conventional cell
Symmetry operations
8 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Mn4Mn1b10.50000.50000.5000
Mn3Mn1c10.00000.00000.5000
Mn5Mn2e20.50000.00000.0000
F1F4n40.20500.20500.7800
F2F4n40.30100.30100.1220

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 8 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_tP12_111_2n_bce-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol tP12, then the space-group number 111, then the Wyckoff letters occupied by each element in turn (Mn: 1b; Mn: 1c; Mn: 2e; F: 4n; F: 4n). 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 A2B_tP12_111_2n_bce-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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