Skip to content

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

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

Unit 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

SiteElementWyckoffMultiplicityxyz
Fe1Fe2a20.00001.00000.0000
Fe2Fe2b20.00001.00000.2500
Pb11Pb2c20.33330.66670.2500
O6O4e40.00001.00000.6500
Fe3Fe4f40.33330.66670.5280
Fe4Fe4f40.33330.66670.6900
O7O4f40.33330.66670.4500
O8O6h60.81800.63600.2500
Fe5Fe12k120.16700.33400.3920
O9O12k120.16700.33400.5500
O10O12k120.50001.00000.6500

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.

← Proposed 300 GPa HfH₁₀ — H₁₀Hf  ·  Space group P63/mmc (74 prototypes)  ·  All prototypes  ·  Na₁₃Pb₅ (γ-NaPb) →