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Crystal Lab › Prototype structures › Hexagonal

Lucabindiite (KAs₄O₆Cl)

Hexagonal · space group P6/mmm (No. 191) · Pearson hP12 · mineral: lucabindiite

Symmetry elements and Wyckoff positions (interactive)

Lucabindiite (KAs₄O₆Cl) in P6/mmm

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

Unit cell

Lattice constants
a = 5.252 Å, b = 5.252 Å, c = 8.880 Å; α = 90.00°, β = 90.00°, γ = 120.00°
Cell volume
212.1 ų
Atoms in the conventional cell
12 (Cl 1, K 1, As 4, O 6)
Formula units Z
1
Pearson symbol
hP12 — hexagonal / trigonal, primitive lattice, 12 atoms per conventional cell
Symmetry operations
24 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Cl2Cl1a10.00000.00000.0000
K3K1b10.00000.00000.5000
As1As4h40.33330.66670.2053
O4O6i60.50000.00000.3136

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 12 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

A4BCD6_hP12_191_h_a_b_i-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hP12, then the space-group number 191, then the Wyckoff letters occupied by each element in turn (Cl: 1a; K: 1b; As: 4h; O: 6i). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Other compounds with this structure

KAs₄O₆Br, KAs₄O₆I, NH₄As₄O₆Br, NH₄As₄O₆I <!--beginning with an

Note: Lucabindiite.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A4BCD6_hP12_191_h_a_b_i-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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