Crystal Lab › Prototype structures › Cubic
Nd₅Mo₃O₁₆
Cubic · space group Pn-3n (No. 222) · Pearson cP144
Symmetry elements and Wyckoff positions (interactive)
Nd₅Mo₃O₁₆ in Pn-3n
SettingUnit cell
- Lattice constants
- a = 11.014 Å, b = 11.014 Å, c = 11.014 Å; α = 90.00°, β = 90.00°, γ = 90.00°
- Cell volume
- 1336.0 ų
- Atoms in the conventional cell
- 144 (Nd 68, Mo 12, O 64)
- Formula units Z
- 4
- Pearson symbol
- cP144 — cubic, primitive lattice, 144 atoms per conventional cell
- Symmetry operations
- 48 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Nd1 | Nd | 8c | 8 | 0.0000 | 0.0000 | 0.0000 |
| Mo2 | Mo | 12d | 12 | 0.0000 | 0.7500 | 0.2500 |
| Nd3 | Nd | 12e | 12 | 0.0092 | 0.2500 | 0.2500 |
| O4 | O | 16f | 16 | 0.1199 | 0.1199 | 0.1199 |
| Nd5 | Nd | 48i | 48 | 0.0060 | 0.9690 | 0.0220 |
| O6 | O | 48i | 48 | 0.5846 | 0.3642 | 0.8271 |
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 144 atoms drawn above are these sites multiplied by all 48 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
A3B17C16_cP144_222_d_cei_fi-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol cP144, then the space-group number 222, then the Wyckoff letters occupied by each element in turn (Nd: 8c; Mo: 12d; Nd: 12e; O: 16f; Nd: 48i; O: 48i). 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 A3B17C16_cP144_222_d_cei_fi-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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