Crystal Lab › Prototype structures › Tetragonal
Na₃V₂(PO₄)₂F₃ (NVPF-F)
Tetragonal · space group P42/mnm (No. 136) · Pearson tP76
Symmetry elements and Wyckoff positions (interactive)
Na₃V₂(PO₄)₂F₃ (NVPF-F) in P42/mnm
SettingUnit cell
- Lattice constants
- a = 9.051 Å, b = 9.051 Å, c = 10.678 Å; α = 90.00°, β = 90.00°, γ = 90.00°
- Cell volume
- 874.7 ų
- Atoms in the conventional cell
- 76 (P 8, F 12, Na 16, O 32, V 8)
- Formula units Z
- 4
- Pearson symbol
- tP76 — tetragonal, primitive lattice, 76 atoms per conventional cell
- Symmetry operations
- 16 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| P1 | P | 4d | 4 | 0.0000 | 0.5000 | 0.2500 |
| P2 | P | 4e | 4 | 0.0000 | 0.0000 | 0.2502 |
| F3 | F | 4f | 4 | 0.2321 | 0.2321 | 0.0000 |
| Na4 | Na | 8i | 8 | 0.5180 | 0.2543 | 0.0000 |
| Na5 | Na | 8i | 8 | 0.7953 | 0.0626 | 0.0000 |
| F6 | F | 8j | 8 | 0.2490 | 0.2490 | 0.3567 |
| O7 | O | 8j | 8 | 0.0965 | 0.0965 | 0.1712 |
| O8 | O | 8j | 8 | 0.4279 | 0.4279 | 0.1578 |
| V9 | V | 8j | 8 | 0.2575 | 0.2575 | 0.1865 |
| O10 | O | 16k | 16 | 0.0931 | 0.3897 | 0.1558 |
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 76 atoms drawn above are these sites multiplied by all 16 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
A3B4C8D2E2_tP76_136_fj_2i_2jk_de_j-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol tP76, then the space-group number 136, then the Wyckoff letters occupied by each element in turn (P: 4d; P: 4e; F: 4f; Na: 8i; Na: 8i; F: 8j; O: 8j; O: 8j; V: 8j; O: 16k). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Note: NVPF-F.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A3B4C8D2E2_tP76_136_fj_2i_2jk_de_j-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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