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
SettingUnit 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
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| O4 | O | 2a | 2 | 0.2500 | 0.2500 | 0.2500 |
| O3 | O | 2b | 2 | 0.2500 | 0.2500 | 0.7500 |
| Nd1 | Nd | 8g | 8 | 0.1840 | 0.1182 | 0.4979 |
| Nd2 | Nd | 8g | 8 | 0.1107 | 0.8064 | 0.6030 |
| O5 | O | 8g | 8 | 0.0301 | 0.1938 | 0.7009 |
| O6 | O | 8g | 8 | 0.0013 | 0.4086 | 0.6937 |
| O7 | O | 8g | 8 | 0.0415 | 0.6291 | 0.7905 |
| O8 | O | 8g | 8 | 0.1484 | 0.8032 | 0.9943 |
| O9 | O | 8g | 8 | 0.4559 | 0.3400 | 0.1868 |
| Re10 | Re | 8g | 8 | 0.0247 | 0.9130 | 0.0707 |
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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