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Crystal Lab › Prototype structures › Orthorhombic

Minium-R (Pb₃O₄)

Orthorhombic · space group Pbam (No. 55) · Pearson oP28

Symmetry elements and Wyckoff positions (interactive)

Minium-R (Pb₃O₄) in Pbam

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

Unit cell

Lattice constants
a = 9.124 Å, b = 8.467 Å, c = 6.566 Å; α = 90.00°, β = 90.00°, γ = 90.00°
Cell volume
507.2 ų
Atoms in the conventional cell
28 (Pb 12, O 16)
Formula units Z
4
Pearson symbol
oP28 — orthorhombic, primitive lattice, 28 atoms per conventional cell
Symmetry operations
8 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Pb1Pb4e40.00000.50000.2410
O2O4g40.12630.60130.0000
Pb3Pb4g40.16240.86550.0000
O4O4h40.09510.63530.5000
Pb5Pb4h40.15710.15270.5000
O6O8i80.66420.16550.2517

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 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

A4B3_oP28_55_ghi_egh-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol oP28, then the space-group number 55, then the Wyckoff letters occupied by each element in turn (Pb: 4e; O: 4g; Pb: 4g; O: 4h; Pb: 4h; O: 8i). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Note: Minium-R.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A4B3_oP28_55_ghi_egh-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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