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Crystal Lab › Prototype structures › Tetragonal

Nd₄Re₂O₁₁

Tetragonal · space group P42/n (No. 86) · Pearson tP68

Symmetry elements and Wyckoff positions (interactive)

Nd₄Re₂O₁₁ in P42/n

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

Unit cell

Lattice constants
a = 12.676 Å, b = 12.676 Å, c = 5.601 Å; α = 90.00°, β = 90.00°, γ = 90.00°
Cell volume
900.0 ų
Atoms in the conventional cell
68 (O 44, Nd 16, Re 8)
Formula units Z
4
Pearson symbol
tP68 — tetragonal, primitive lattice, 68 atoms per conventional cell
Symmetry operations
8 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
O4O2a20.25000.25000.2500
O3O2b20.25000.25000.7500
Nd1Nd8g80.18400.11820.4979
Nd2Nd8g80.11070.80640.6030
O5O8g80.03010.19380.7009
O6O8g80.00130.40860.6937
O7O8g80.04150.62910.7905
O8O8g80.14840.80320.9943
O9O8g80.45590.34000.1868
Re10Re8g80.02470.91300.0707

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 68 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

A4B11C2_tP68_86_2g_ab5g_g-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol tP68, then the space-group number 86, then the Wyckoff letters occupied by each element in turn (O: 2a; O: 2b; Nd: 8g; Nd: 8g; O: 8g; O: 8g; O: 8g; O: 8g; O: 8g; Re: 8g). 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 A4B11C2_tP68_86_2g_ab5g_g-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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