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Crystal Lab › Prototype structures › Trigonal

LaLi₃Sb₂

Trigonal · space group P-3m1 (No. 164) · Pearson hP6

Symmetry elements and Wyckoff positions (interactive)

LaLi₃Sb₂ in P-3m1

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

Unit cell

Lattice constants
a = 4.619 Å, b = 4.619 Å, c = 7.445 Å; α = 90.00°, β = 90.00°, γ = 120.00°
Cell volume
137.6 ų
Atoms in the conventional cell
6 (La 1, Li 3, Sb 2)
Formula units Z
1
Pearson symbol
hP6 — hexagonal / trigonal, primitive lattice, 6 atoms per conventional cell
Symmetry operations
12 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
La1La1a10.00000.00000.0000
Li2Li1b10.00000.00000.5000
Li3Li2d20.33330.66670.6580
Sb4Sb2d20.33330.66670.2577

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 6 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

AB3C2_hP6_164_a_bd_d-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hP6, then the space-group number 164, then the Wyckoff letters occupied by each element in turn (La: 1a; Li: 1b; Li: 2d; Sb: 2d). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Other compounds with this structure

CeLi₃Bi₂, CeLi₃Sb₂, DyLi₃Sb₂, GdLi₃Bi₂, HoLi₃Sb₂, LaLi₃As₂, LaLi₃Bi₂, LaLi₃P₂, NdLi₃As₂, NdLi₃Bi₂, NdLi₃Sb₂, PrLi₃Bi₂, PrLi₃Sb₂, SmLi₃Bi₂, SmLi₃Sb₂, TbLi₃Bi₂, YLi₃Bi₂, YLi₃Sb₂ <!--beginning with an

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry AB3C2_hP6_164_a_bd_d-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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