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Crystal Lab › Prototype structures › Hexagonal

Ca₅Pb₃

Hexagonal · space group P63mc (No. 186) · Pearson hP48

Symmetry elements and Wyckoff positions (interactive)

Ca₅Pb₃ in P63mc

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

Unit cell

Lattice constants
a = 16.230 Å, b = 16.230 Å, c = 7.040 Å; α = 90.00°, β = 90.00°, γ = 120.00°
Cell volume
1606.0 ų
Atoms in the conventional cell
48 (Ca 30, Pb 18)
Formula units Z
6
Pearson symbol
hP48 — hexagonal / trigonal, primitive lattice, 48 atoms per conventional cell
Symmetry operations
12 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Ca1Ca6c60.42100.57900.2800
Ca2Ca6c60.91300.08700.7800
Ca3Ca6c60.24400.75600.7760
Pb5Pb6c60.13000.87000.7400
Pb6Pb6c60.20300.79700.2500
Pb7Pb6c60.46300.53700.7480
Ca4Ca12d120.33330.00000.0000

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 48 atoms drawn above are these sites multiplied by all 12 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

A5B3_hP48_186_3cd_3c-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hP48, then the space-group number 186, then the Wyckoff letters occupied by each element in turn (Ca: 6c; Ca: 6c; Ca: 6c; Pb: 6c; Pb: 6c; Pb: 6c; Ca: 12d). 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 A5B3_hP48_186_3cd_3c-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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