Crystal Lab › Prototype structures › Hexagonal
Magnetoplumbite (PbFe₁₂O₁₉)
Hexagonal · space group P63/mmc (No. 194) · Pearson hP64 · mineral: magnetoplumbite
Symmetry elements and Wyckoff positions (interactive)
Magnetoplumbite (PbFe₁₂O₁₉) in P63/mmc
SettingUnit cell
- Lattice constants
- a = 5.880 Å, b = 5.880 Å, c = 23.020 Å; α = 90.00°, β = 90.00°, γ = 120.00°
- Cell volume
- 689.3 ų
- Atoms in the conventional cell
- 64 (Fe 24, Pb 2, O 38)
- Formula units Z
- 2
- Pearson symbol
- hP64 — hexagonal / trigonal, primitive lattice, 64 atoms per conventional cell
- Symmetry operations
- 24 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Fe1 | Fe | 2a | 2 | 0.0000 | 1.0000 | 0.0000 |
| Fe2 | Fe | 2b | 2 | 0.0000 | 1.0000 | 0.2500 |
| Pb11 | Pb | 2c | 2 | 0.3333 | 0.6667 | 0.2500 |
| O6 | O | 4e | 4 | 0.0000 | 1.0000 | 0.6500 |
| Fe3 | Fe | 4f | 4 | 0.3333 | 0.6667 | 0.5280 |
| Fe4 | Fe | 4f | 4 | 0.3333 | 0.6667 | 0.6900 |
| O7 | O | 4f | 4 | 0.3333 | 0.6667 | 0.4500 |
| O8 | O | 6h | 6 | 0.8180 | 0.6360 | 0.2500 |
| Fe5 | Fe | 12k | 12 | 0.1670 | 0.3340 | 0.3920 |
| O9 | O | 12k | 12 | 0.1670 | 0.3340 | 0.5500 |
| O10 | O | 12k | 12 | 0.5000 | 1.0000 | 0.6500 |
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 64 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
A12B19C_hP64_194_ab2fk_efh2k_c-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hP64, then the space-group number 194, then the Wyckoff letters occupied by each element in turn (Fe: 2a; Fe: 2b; Pb: 2c; O: 4e; Fe: 4f; Fe: 4f; O: 4f; O: 6h; Fe: 12k; O: 12k; O: 12k). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Other compounds with this structure
PbAl₁₂O₁₉, PbGa₁₂O₁₉, PbMn₁₂O₁₉, Pb(Co, Ti)₁₂O₁₉, BaAl₁₂O₁₉, BaFe₁₂O₁₉, BaGa₁₂O₁₉, BaMn₁₂O₁₉, Ba(Co, Ti)₁₂O₁₉, CaAl₁₂O₁₉, CaGa₁₂O₁₉, CaMn₁₂O₁₉, Ca(Co, Ti)₁₂O₁₉, SrAl₁₂O₁₉, SrGa₁₂O₁₉, SrMn₁₂O₁₉, Sr(Co, Ti)₁₂O₁₉ <!--beginning with an
Note: Magnetoplumbite.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A12B19C_hP64_194_ab2fk_efh2k_c-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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