Crystal Lab › Prototype structures › Tetragonal
Minium-T (Pb₃O₄)
Tetragonal · space group P42/mbc (No. 135) · Pearson tP28 · mineral: minium
Symmetry elements and Wyckoff positions (interactive)
Minium-T (Pb₃O₄) in P42/mbc
SettingUnit cell
- Lattice constants
- a = 8.811 Å, b = 8.811 Å, c = 6.563 Å; α = 90.00°, β = 90.00°, γ = 90.00°
- Cell volume
- 509.5 ų
- Atoms in the conventional cell
- 28 (Pb 12, O 16)
- Formula units Z
- 4
- Pearson symbol
- tP28 — tetragonal, primitive lattice, 28 atoms per conventional cell
- Symmetry operations
- 16 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Pb1 | Pb | 4d | 4 | 0.0000 | 0.5000 | 0.2500 |
| O2 | O | 8g | 8 | 0.6710 | 0.1710 | 0.2500 |
| O3 | O | 8h | 8 | 0.0960 | 0.6370 | 0.0000 |
| Pb4 | Pb | 8h | 8 | 0.1400 | 0.1630 | 0.0000 |
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 28 atoms drawn above are these sites multiplied by all 16 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
A4B3_tP28_135_gh_dh-002: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol tP28, then the space-group number 135, then the Wyckoff letters occupied by each element in turn (Pb: 4d; O: 8g; O: 8h; Pb: 8h). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Note: Minium-T.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A4B3_tP28_135_gh_dh-002 (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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