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Crystal Lab › Prototype structures › Tetragonal

E3₁ (β-Ag₂HgI₄)

Tetragonal · space group P-42m (No. 111) · Pearson tP7 · Strukturbericht E31

Symmetry elements and Wyckoff positions (interactive)

E3₁ (β-Ag₂HgI₄) in P-42m

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

Unit cell

Lattice constants
a = 6.340 Å, b = 6.340 Å, c = 6.340 Å; α = 90.00°, β = 90.00°, γ = 90.00°
Cell volume
254.8 ų
Atoms in the conventional cell
7 (Hg 1, Ag 2, I 4)
Formula units Z
1
Pearson symbol
tP7 — tetragonal, primitive lattice, 7 atoms per conventional cell
Symmetry operations
8 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Hg2Hg1b10.50000.50000.5000
Ag1Ag2e20.50000.00000.0000
I3I4n40.23000.23000.2750

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 7 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

A2BC4_tP7_111_e_b_n-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol tP7, then the space-group number 111, then the Wyckoff letters occupied by each element in turn (Hg: 1b; Ag: 2e; I: 4n). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Other compounds with this structure

CdIn₂Se₄, CuHg₂I₄ <!--beginning with an

Note: E3₁, \beta-Ag₂HgI₄.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A2BC4_tP7_111_e_b_n-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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