Al₈Pb₉O₂₁

Unit cell

Lattice constants

a = 13.260 Å, b = 13.260 Å, c = 13.260 Å; α = 90.00°, β = 90.00°, γ = 90.00°

Cell volume

2331.5 ų

Atoms in the conventional cell

152 (O 84, Pb 36, Al 32)

Formula units Z

4

Pearson symbol

cP152 — cubic, primitive lattice, 152 atoms per conventional cell

Symmetry operations

24 per cell

Crystallographic sites

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 152 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

A8B21C9_cP152_205_cd_ac3d_bcd-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol cP152, then the space-group number 205, then the Wyckoff letters occupied by each element in turn (O: 4a; Pb: 4b; Al: 8c; O: 8c; Pb: 8c; Al: 24d; O: 24d; O: 24d; O: 24d; Pb: 24d). 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 A8B21C9_cP152_205_cd_ac3d_bcd-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.