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
SettingUnit 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
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Mn4 | Mn | 1b | 1 | 0.5000 | 0.5000 | 0.5000 |
| Mn3 | Mn | 1c | 1 | 0.0000 | 0.0000 | 0.5000 |
| Mn5 | Mn | 2e | 2 | 0.5000 | 0.0000 | 0.0000 |
| F1 | F | 4n | 4 | 0.2050 | 0.2050 | 0.7800 |
| F2 | F | 4n | 4 | 0.3010 | 0.3010 | 0.1220 |
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.
← E3₁ (β-Ag₂HgI₄) · Space group P-42m (3 prototypes) · All prototypes · Mooihoekite (Cu₉Fe₉S₁₆) →