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Crystal Lab › Prototype structures › Tetragonal

Phase III Cd₂Re₂O₇ Cd₂O₇Re₂

Tetragonal · space group I4122 (No. 98) · Pearson tI44

Symmetry elements and Wyckoff positions (interactive)

Phase III Cd₂Re₂O₇ in I4122

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

Unit cell

Lattice constants
a = 7.231 Å, b = 7.231 Å, c = 10.228 Å; α = 90.00°, β = 90.00°, γ = 90.00°
Cell volume
534.8 ų
Atoms in the conventional cell
44 (O 28, Cd 8, Re 8)
Formula units Z
4
Pearson symbol
tI44 — tetragonal, body-centred lattice, 44 atoms per conventional cell
Symmetry operations
16 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
O2O4a40.00000.00000.0000
O3O8c80.00000.00000.6895
O4O8d80.68800.68800.0000
O5O8e80.69700.30300.0000
Cd1Cd8f80.99590.25000.1250
Re6Re8f80.50330.25000.1250

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 44 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

A2B7C2_tI44_98_f_acde_f-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol tI44, then the space-group number 98, then the Wyckoff letters occupied by each element in turn (O: 4a; O: 8c; O: 8d; O: 8e; Cd: 8f; Re: 8f). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Note: Phase III.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A2B7C2_tI44_98_f_acde_f-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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