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Crystal Lab › Prototype structures › Hexagonal

LiScI₃

Hexagonal · space group P-6c2 (No. 188) · Pearson hP10

Symmetry elements and Wyckoff positions (interactive)

LiScI₃ in P-6c2

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

Unit cell

Lattice constants
a = 7.286 Å, b = 7.286 Å, c = 6.768 Å; α = 90.00°, β = 90.00°, γ = 120.00°
Cell volume
311.2 ų
Atoms in the conventional cell
10 (Li 2, Sc 2, I 6)
Formula units Z
2
Pearson symbol
hP10 — hexagonal / trigonal, primitive lattice, 10 atoms per conventional cell
Symmetry operations
12 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Li2Li2a20.00000.00000.0000
Sc3Sc2c20.33330.66670.0000
I1I6k60.32920.33980.2500

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 10 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

A3BC_hP10_188_k_a_c-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hP10, then the space-group number 188, then the Wyckoff letters occupied by each element in turn (Li: 2a; Sc: 2c; I: 6k). 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 A3BC_hP10_188_k_a_c-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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