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Crystal Lab › Prototype structures › Hexagonal

Na₁₃Pb₅ (γ-NaPb)

Hexagonal · space group P63/mmc (No. 194) · Pearson hP36

Symmetry elements and Wyckoff positions (interactive)

Na₁₃Pb₅ (γ-NaPb) in P63/mmc

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

Unit cell

Lattice constants
a = 5.510 Å, b = 5.510 Å, c = 40.390 Å; α = 90.00°, β = 90.00°, γ = 120.00°
Cell volume
1062.0 ų
Atoms in the conventional cell
36 (Na 26, Pb 10)
Formula units Z
2
Pearson symbol
hP36 — hexagonal / trigonal, primitive lattice, 36 atoms per conventional cell
Symmetry operations
24 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Na1Na2a20.00000.00000.0000
Pb8Pb2b20.00000.00000.2500
Na2Na4e40.00000.00000.0830
Na3Na4e40.00000.00000.1670
Na4Na4f40.33330.66670.2110
Na5Na4f40.33330.66670.5310
Na6Na4f40.33330.66670.6170
Na7Na4f40.33330.66670.7100
Pb10Pb4f40.33330.66670.1300
Pb9Pb4f40.33330.66670.0500

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 36 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

A13B5_hP36_194_a2e4f_b2f-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hP36, then the space-group number 194, then the Wyckoff letters occupied by each element in turn (Na: 2a; Pb: 2b; Na: 4e; Na: 4e; Na: 4f; Na: 4f; Na: 4f; Na: 4f; Pb: 4f; Pb: 4f). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Note: \gamma-NaPb.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A13B5_hP36_194_a2e4f_b2f-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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