Crystal Lab › Prototype structures › Orthorhombic
NaNbO₃ Pbcm Lueshite Perovskite
Orthorhombic · space group Pbcm (No. 57) · Pearson oP40 · mineral: lueshite
Symmetry elements and Wyckoff positions (interactive)
NaNbO₃ Pbcm Lueshite Perovskite in Pbcm
SettingUnit cell
- Lattice constants
- a = 5.506 Å, b = 5.566 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
- 8 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Na1 | Na | 4c | 4 | 0.2430 | 0.2500 | 0.0000 |
| O2 | O | 4c | 4 | 0.6960 | 0.2500 | 0.0000 |
| Na3 | Na | 4d | 4 | 0.2390 | 0.2180 | 0.2500 |
| O4 | O | 4d | 4 | 0.1910 | 0.7670 | 0.2500 |
| Nb5 | Nb | 8e | 8 | 0.2566 | 0.7722 | 0.6262 |
| O6 | O | 8e | 8 | 0.5360 | 0.5320 | 0.6400 |
| O7 | O | 8e | 8 | 0.9660 | 0.9670 | 0.6100 |
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 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
ABC3_oP40_57_cd_e_cd2e-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 57, then the Wyckoff letters occupied by each element in turn (Na: 4c; O: 4c; Na: 4d; O: 4d; Nb: 8e; O: 8e; O: 8e). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Other compounds with this structure
AgNbO₃, SrTiO₃, NaNb_{1-x}Ti_{x}O₃ <!--beginning with an
Note: Pbcm Lueshite.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry ABC3_oP40_57_cd_e_cd2e-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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