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Theoretical Cubic LiH₁₂ H₁₂Li

Cubic · space group Pm-3 (No. 200) · Pearson cP13

Symmetry elements and Wyckoff positions (interactive)

Theoretical Cubic LiH₁₂ in Pm-3

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

Unit cell

Lattice constants
a = 2.801 Å, b = 2.801 Å, c = 2.801 Å; α = 90.00°, β = 90.00°, γ = 90.00°
Cell volume
22.0 ų
Atoms in the conventional cell
13 (Li 1, H 12)
Formula units Z
1
Pearson symbol
cP13 — cubic, primitive lattice, 13 atoms per conventional cell
Symmetry operations
24 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Li1Li1b10.50000.50000.5000
H2H12j120.00000.24010.6473

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 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

A12B_cP13_200_j_b-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol cP13, then the space-group number 200, then the Wyckoff letters occupied by each element in turn (Li: 1b; H: 12j). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Note: Cubic, 250GPa.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A12B_cP13_200_j_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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