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Crystal Lab › Prototype structures › Tetragonal

EuAuAl₄(Au_{1-x}Ge_{x})₂

Tetragonal · space group P4/mmm (No. 123) · Pearson tP8

Symmetry elements and Wyckoff positions (interactive)

EuAuAl₄(Au_{1-x}Ge_{x})₂ in P4/mmm

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

Unit cell

Lattice constants
a = 4.313 Å, b = 4.313 Å, c = 8.371 Å; α = 90.00°, β = 90.00°, γ = 90.00°
Cell volume
155.7 ų
Atoms in the conventional cell
8 (Au 1, Eu 1, Ge 2, Al 4)
Formula units Z
1
Pearson symbol
tP8 — tetragonal, primitive lattice, 8 atoms per conventional cell
Symmetry operations
16 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Au1Au1a10.00000.00000.0000
Eu2Eu1b10.00000.00000.5000
Ge3Ge2h20.50000.50000.3462
Al4Al4i40.00000.50000.1739

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 8 atoms drawn above are these sites multiplied by all 16 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

A4BCD2_tP8_123_i_a_b_h-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol tP8, then the space-group number 123, then the Wyckoff letters occupied by each element in turn (Au: 1a; Eu: 1b; Ge: 2h; Al: 4i). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Other compounds with this structure

EuAuAl₄(Au_{1-x}Ge_{x})₂ <!--beginning with an

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A4BCD2_tP8_123_i_a_b_h-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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