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Crystal Lab › Prototype structures › Hexagonal

BaLi₄

Hexagonal · space group P63/mmc (No. 194) · Pearson hP30

Symmetry elements and Wyckoff positions (interactive)

BaLi₄ in P63/mmc

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

Unit cell

Lattice constants
a = 10.936 Å, b = 10.936 Å, c = 8.943 Å; α = 90.00°, β = 90.00°, γ = 120.00°
Cell volume
926.3 ų
Atoms in the conventional cell
30 (Li 24, Ba 6)
Formula units Z
6
Pearson symbol
hP30 — hexagonal / trigonal, primitive lattice, 30 atoms per conventional cell
Symmetry operations
24 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Li2Li2a20.00000.00000.0000
Li3Li4f40.33330.66670.5850
Ba1Ba6h60.47190.94380.2500
Li4Li6h60.09860.19720.2500
Li5Li12k120.16450.32900.5660

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 30 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

AB4_hP30_194_h_afhk-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hP30, then the space-group number 194, then the Wyckoff letters occupied by each element in turn (Li: 2a; Li: 4f; Ba: 6h; Li: 6h; Li: 12k). 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 AB4_hP30_194_h_afhk-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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