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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

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

Unit 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

SiteElementWyckoffMultiplicityxyz
Pb1Pb4d40.00000.50000.2500
O2O8g80.67100.17100.2500
O3O8h80.09600.63700.0000
Pb4Pb8h80.14000.16300.0000

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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