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Crystal Lab › Prototype structures › Tetragonal

Maucherite (Ni₁₁As₈)

Tetragonal · space group P41212 (No. 92) · Pearson tP76 · mineral: maucherite

Symmetry elements and Wyckoff positions (interactive)

Maucherite (Ni₁₁As₈) in P41212

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

Unit cell

Lattice constants
a = 6.872 Å, b = 6.872 Å, c = 21.821 Å; α = 90.00°, β = 90.00°, γ = 90.00°
Cell volume
1030.6 ų
Atoms in the conventional cell
76 (As 32, Ni 44)
Formula units Z
4
Pearson symbol
tP76 — tetragonal, primitive lattice, 76 atoms per conventional cell
Symmetry operations
8 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
As1As4a40.12000.12000.0000
As2As4a40.63500.63500.0000
Ni6Ni4a40.37500.37500.0000
As3As8b80.63500.12900.0004
As4As8b80.87700.38200.1250
As5As8b80.12100.86900.1289
Ni10Ni8b80.37200.68300.0805
Ni11Ni8b80.87100.69000.0770
Ni7Ni8b80.12500.37300.2686
Ni8Ni8b80.12000.56900.1734
Ni9Ni8b80.60800.56200.1710

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 76 atoms drawn above are these sites multiplied by all 8 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

A8B11_tP76_92_2a3b_a5b-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol tP76, then the space-group number 92, then the Wyckoff letters occupied by each element in turn (As: 4a; As: 4a; Ni: 4a; As: 8b; As: 8b; As: 8b; Ni: 8b; Ni: 8b; Ni: 8b; Ni: 8b; Ni: 8b). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Note: Maucherite.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A8B11_tP76_92_2a3b_a5b-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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