Crystal Lab › Prototype structures › Orthorhombic
LiNb₆O₁₅F
Orthorhombic · space group Pmma (No. 51) · Pearson oP46
Symmetry elements and Wyckoff positions (interactive)
LiNb₆O₁₅F in Pmma
SettingUnit cell
- Lattice constants
- a = 16.635 Å, b = 3.964 Å, c = 8.888 Å; α = 90.00°, β = 90.00°, γ = 90.00°
- Cell volume
- 586.1 ų
- Atoms in the conventional cell
- 46 (Li 2, O 30, Nb 12, F 2)
- Formula units Z
- 2
- Pearson symbol
- oP46 — orthorhombic, primitive lattice, 46 atoms per conventional cell
- Symmetry operations
- 8 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Li2 | Li | 2b | 2 | 0.0000 | 0.5000 | 0.0000 |
| O7 | O | 2c | 2 | 0.0000 | 0.0000 | 0.5000 |
| Nb3 | Nb | 2e | 2 | 0.2500 | 0.0000 | 0.5578 |
| Nb4 | Nb | 2e | 2 | 0.2500 | 0.0000 | 0.1874 |
| O8 | O | 2e | 2 | 0.2500 | 0.0000 | 0.9582 |
| F1 | F | 2f | 2 | 0.2500 | 0.5000 | 0.1922 |
| O9 | O | 2f | 2 | 0.2500 | 0.5000 | 0.5524 |
| Nb5 | Nb | 4i | 4 | 0.1305 | 0.0000 | 0.8973 |
| Nb6 | Nb | 4i | 4 | 0.0593 | 0.0000 | 0.3146 |
| O10 | O | 4i | 4 | 0.1309 | 0.0000 | 0.1149 |
| O11 | O | 4i | 4 | 0.1744 | 0.0000 | 0.3823 |
| O12 | O | 4i | 4 | 0.1636 | 0.0000 | 0.6963 |
| O13 | O | 4i | 4 | 0.0206 | 0.0000 | 0.8386 |
| O14 | O | 4j | 4 | 0.1286 | 0.5000 | 0.8998 |
| O15 | O | 4j | 4 | 0.0583 | 0.5000 | 0.3170 |
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 46 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
ABC6D15_oP46_51_f_b_2e2i_cef4i2j-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol oP46, then the space-group number 51, then the Wyckoff letters occupied by each element in turn (Li: 2b; O: 2c; Nb: 2e; Nb: 2e; O: 2e; F: 2f; O: 2f; Nb: 4i; Nb: 4i; O: 4i; O: 4i; O: 4i; O: 4i; O: 4j; O: 4j). 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 ABC6D15_oP46_51_f_b_2e2i_cef4i2j-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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