Skip to content

Crystal Lab › Prototype structures › Cubic

Li₁₇Pb₄

Cubic · space group F-43m (No. 216) · Pearson cF420

Symmetry elements and Wyckoff positions (interactive)

Li₁₇Pb₄ in F-43m

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

Unit cell

Lattice constants
a = 19.842 Å, b = 19.842 Å, c = 19.842 Å; α = 90.00°, β = 90.00°, γ = 90.00°
Cell volume
7811.9 ų
Atoms in the conventional cell
420 (Li 340, Pb 80)
Formula units Z
20
Pearson symbol
cF420 — cubic, face-centred lattice, 420 atoms per conventional cell
Symmetry operations
96 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Li1Li4a40.00000.00000.0000
Li2Li16e160.30340.30340.3034
Li3Li16e160.41510.41510.4151
Li4Li16e160.55590.55590.5559
Li5Li16e160.68310.68310.6831
Li6Li16e160.83050.83050.8305
Li7Li16e160.07380.07380.0738
Pb14Pb16e160.15900.15900.1590
Pb15Pb16e160.91640.91640.9164
Li8Li24f240.82680.00000.0000
Pb16Pb24f240.67990.00000.0000
Li9Li24g240.07470.25000.2500
Pb17Pb24g240.92920.25000.2500
Li10Li48h480.59430.59430.2678
Li11Li48h480.59140.59140.7622
Li12Li48h480.34480.34480.5204
Li13Li48h480.33730.33730.0075

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 420 atoms drawn above are these sites multiplied by all 96 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

A17B4_cF420_216_a6efg4h_2efg-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol cF420, then the space-group number 216, then the Wyckoff letters occupied by each element in turn (Li: 4a; Li: 16e; Li: 16e; Li: 16e; Li: 16e; Li: 16e; Li: 16e; Pb: 16e; Pb: 16e; Li: 24f; Pb: 24f; Li: 24g; Pb: 24g; Li: 48h; Li: 48h; Li: 48h; Li: 48h). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Other compounds with this structure

Li₁₇Ge₄, Li₁₇Si₄, Li₁₇Sn₄ <!--beginning with an

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A17B4_cF420_216_a6efg4h_2efg-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.

← Murataite [(Y,Na)₆(Zn,Fe)₅Ti₁₂O₂₉(O,F)₁₀F₄]  ·  Space group F-43m (22 prototypes)  ·  All prototypes  ·  Pt₃Zn₁₀ →