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Crystal Lab › Prototype structures › Trigonal

Ag₅Pb₂O₆

Trigonal · space group P31m (No. 157) · Pearson hP13

Symmetry elements and Wyckoff positions (interactive)

Ag₅Pb₂O₆ in P31m

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

Unit cell

Lattice constants
a = 5.939 Å, b = 5.939 Å, c = 6.428 Å; α = 90.00°, β = 90.00°, γ = 120.00°
Cell volume
196.4 ų
Atoms in the conventional cell
13 (Ag 5, Pb 2, O 6)
Formula units Z
1
Pearson symbol
hP13 — hexagonal / trigonal, primitive lattice, 13 atoms per conventional cell
Symmetry operations
6 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Ag1Ag1a10.00001.00000.2640
Ag2Ag1a10.00001.00000.7360
Pb6Pb2b20.33330.66670.0220
Ag3Ag3c30.50001.00000.5220
O4O3c30.60301.00000.2150
O5O3c30.39701.00000.8290

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 13 atoms drawn above are these sites multiplied by all 6 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

A5B6C2_hP13_157_2ac_2c_b-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hP13, then the space-group number 157, then the Wyckoff letters occupied by each element in turn (Ag: 1a; Ag: 1a; Pb: 2b; Ag: 3c; O: 3c; O: 3c). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A5B6C2_hP13_157_2ac_2c_b-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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