Crystal Lab › Prototype structures › Orthorhombic
Ferroelectric NaNbO₃ P222₁ Lueshite Perovskite
Orthorhombic · space group P2221 (No. 17) · Pearson oP40
Symmetry elements and Wyckoff positions (interactive)
Ferroelectric NaNbO₃ P222₁ Lueshite Perovskite in P2221
SettingUnit cell
- Lattice constants
- a = 5.504 Å, b = 5.568 Å, c = 15.520 Å; α = 90.00°, β = 90.00°, γ = 90.00°
- Cell volume
- 475.6 ų
- Atoms in the conventional cell
- 40 (Na 8, O 24, Nb 8)
- Formula units Z
- 8
- Pearson symbol
- oP40 — orthorhombic, primitive lattice, 40 atoms per conventional cell
- Symmetry operations
- 4 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Na1 | Na | 2a | 2 | 0.4810 | 0.0000 | 0.0000 |
| O2 | O | 2a | 2 | 0.9750 | 0.0000 | 0.0000 |
| Na3 | Na | 2b | 2 | 0.0190 | 0.5000 | 0.0000 |
| O4 | O | 2b | 2 | 0.5250 | 0.5000 | 0.0000 |
| Na5 | Na | 2c | 2 | 0.0000 | 0.5190 | 0.2500 |
| O6 | O | 2c | 2 | 0.0000 | 0.0250 | 0.2500 |
| Na7 | Na | 2d | 2 | 0.5000 | 0.9810 | 0.2500 |
| O8 | O | 2d | 2 | 0.5000 | 0.4750 | 0.2500 |
| Nb9 | Nb | 4e | 4 | 0.0140 | 0.0050 | 0.3750 |
| Nb10 | Nb | 4e | 4 | 0.5140 | 0.5050 | 0.3750 |
| O11 | O | 4e | 4 | 0.2500 | 0.2500 | 0.3750 |
| O12 | O | 4e | 4 | 0.7500 | 0.2500 | 0.3750 |
| O13 | O | 4e | 4 | 0.2500 | 0.7500 | 0.3750 |
| O14 | O | 4e | 4 | 0.7500 | 0.7500 | 0.3750 |
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 40 atoms drawn above are these sites multiplied by all 4 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
ABC3_oP40_17_abcd_2e_abcd4e-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol oP40, then the space-group number 17, then the Wyckoff letters occupied by each element in turn (Na: 2a; O: 2a; Na: 2b; O: 2b; Na: 2c; O: 2c; Na: 2d; O: 2d; Nb: 4e; Nb: 4e; O: 4e; O: 4e; O: 4e; O: 4e). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Other compounds with this structure
BaCuO_{2+delta} (HP) <!--beginning with an
Note: Ferroelectric Lueshite.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry ABC3_oP40_17_abcd_2e_abcd4e-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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