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Crystal Lab › Prototype structures › Hexagonal

LiKSO₄ (H1₄)

Hexagonal · space group P63 (No. 173) · Pearson hP14 · Strukturbericht H14

Symmetry elements and Wyckoff positions (interactive)

LiKSO₄ (H1₄) in P63

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

Unit cell

Lattice constants
a = 5.146 Å, b = 5.146 Å, c = 8.636 Å; α = 90.00°, β = 90.00°, γ = 120.00°
Cell volume
198.1 ų
Atoms in the conventional cell
14 (K 2, Li 2, O 8, S 2)
Formula units Z
2
Pearson symbol
hP14 — hexagonal / trigonal, primitive lattice, 14 atoms per conventional cell
Symmetry operations
6 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
K1K2a20.00000.00000.0000
Li2Li2b20.33330.66670.3146
O3O2b20.33330.66670.5358
S5S2b20.33330.66670.7045
O4O6c60.34460.40310.7583

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 14 atoms drawn above are these sites multiplied by all 6 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

ABC4D_hP14_173_a_b_bc_b-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hP14, then the space-group number 173, then the Wyckoff letters occupied by each element in turn (K: 2a; Li: 2b; O: 2b; S: 2b; O: 6c). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Note: H1₄.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry ABC4D_hP14_173_a_b_bc_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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