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Crystal Lab › Prototype structures › Orthorhombic

Hg₇Hg₅

Orthorhombic · space group Pbcm (No. 57) · Pearson oP48

Symmetry elements and Wyckoff positions (interactive)

Hg₇Hg₅ in Pbcm

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

Unit cell

Lattice constants
a = 10.060 Å, b = 19.450 Å, c = 8.340 Å; α = 90.00°, β = 90.00°, γ = 90.00°
Cell volume
1631.9 ų
Atoms in the conventional cell
48 (Hg 28, K 20)
Formula units Z
4
Pearson symbol
oP48 — orthorhombic, primitive lattice, 48 atoms per conventional cell
Symmetry operations
8 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Hg1Hg4c40.87010.25000.0000
K5K4d40.55900.22000.2500
K6K4d40.53800.01700.2500
K7K4d40.17400.21000.2500
K8K4d40.00900.39800.2500
K9K4d40.89600.08300.2500
Hg2Hg8e80.19940.02740.0646
Hg3Hg8e80.67900.11940.5708
Hg4Hg8e80.37370.13990.5708

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 48 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

A7B5_oP48_57_c3e_5d-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol oP48, then the space-group number 57, then the Wyckoff letters occupied by each element in turn (Hg: 4c; K: 4d; K: 4d; K: 4d; K: 4d; K: 4d; Hg: 8e; Hg: 8e; Hg: 8e). 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 A7B5_oP48_57_c3e_5d-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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