Crystal Lab › Prototype structures › Tetragonal
Li₃[AlP₂O₇F(OH)](H₂O)_{0.5}
Tetragonal · space group P4 (No. 75) · Pearson tP90
Symmetry elements and Wyckoff positions (interactive)
Li₃[AlP₂O₇F(OH)](H₂O)_{0.5} in P4
SettingUnit cell
- Lattice constants
- a = 10.990 Å, b = 10.990 Å, c = 5.995 Å; α = 90.00°, β = 90.00°, γ = 90.00°
- Cell volume
- 724.0 ų
- Atoms in the conventional cell
- 90 (H 2, Al 4, F 4, Li 20, O 44, P 16)
- Formula units Z
- 2
- Pearson symbol
- tP90 — tetragonal, primitive lattice, 90 atoms per conventional cell
- Symmetry operations
- 4 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| H2O1 | H | 1a | 1 | 0.0000 | 0.0000 | 0.0000 |
| H2O2 | H | 1b | 1 | 0.5000 | 0.5000 | 0.5270 |
| Al3 | Al | 4d | 4 | 0.7506 | 0.2499 | 0.2430 |
| F4 | F | 4d | 4 | 0.8570 | 0.2236 | 0.0180 |
| Li5 | Li | 4d | 4 | 0.7410 | 0.2520 | 0.7380 |
| Li6 | Li | 4d | 4 | 0.0170 | 0.1890 | 0.9870 |
| Li7 | Li | 4d | 4 | 0.4760 | 0.3190 | 0.4890 |
| Li8 | Li | 4d | 4 | 0.4860 | 0.1940 | 0.4820 |
| Li9 | Li | 4d | 4 | 0.0050 | 0.3370 | 0.9630 |
| O10 | O | 4d | 4 | 0.6272 | 0.2377 | 0.0230 |
| O11 | O | 4d | 4 | 0.6432 | 0.2739 | 0.4680 |
| O12 | O | 4d | 4 | 0.8724 | 0.2627 | 0.4620 |
| O13 | O | 4d | 4 | 0.4204 | 0.2411 | 0.2040 |
| O14 | O | 4d | 4 | 0.0597 | 0.2649 | 0.7060 |
| O15 | O | 4d | 4 | 0.0790 | 0.2528 | 0.2810 |
| O16 | O | 4d | 4 | 0.4419 | 0.2472 | 0.7840 |
| O17 | O | 4d | 4 | 0.0030 | 0.4460 | 0.4920 |
| O18 | O | 4d | 4 | 0.4940 | 0.0520 | 0.0160 |
| O19 | O | 4d | 4 | 0.0220 | 0.1070 | 0.5430 |
| O20 | O | 4d | 4 | 0.4860 | 0.4050 | 0.0230 |
| P21 | P | 4d | 4 | 0.0053 | 0.2964 | 0.4850 |
| P22 | P | 4d | 4 | 0.0025 | 0.2234 | 0.4870 |
| P23 | P | 4d | 4 | 0.4947 | 0.2023 | 0.9966 |
| P24 | P | 4d | 4 | 0.4964 | 0.2758 | 0.9960 |
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 90 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
A2B2CD10E22F8_tP90_75_d_d_ab_5d_11d_4d-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol tP90, then the space-group number 75, then the Wyckoff letters occupied by each element in turn (H: 1a; H: 1b; Al: 4d; F: 4d; Li: 4d; Li: 4d; Li: 4d; Li: 4d; Li: 4d; O: 4d; O: 4d; O: 4d; O: 4d; O: 4d; O: 4d; O: 4d; O: 4d; O: 4d; O: 4d; O: 4d; P: 4d; P: 4d; P: 4d; P: 4d). 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 A2B2CD10E22F8_tP90_75_d_d_ab_5d_11d_4d-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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