Crystal Lab › Prototype structures › Tetragonal
Sr₂As₂O₇
Tetragonal · space group P43 (No. 78) · Pearson tP88
Symmetry elements and Wyckoff positions (interactive)
Sr₂As₂O₇ in P43
SettingUnit cell
- Lattice constants
- a = 7.109 Å, b = 7.109 Å, c = 25.616 Å; α = 90.00°, β = 90.00°, γ = 90.00°
- Cell volume
- 1294.5 ų
- Atoms in the conventional cell
- 88 (As 16, O 56, Sr 16)
- Formula units Z
- 8
- Pearson symbol
- tP88 — tetragonal, primitive lattice, 88 atoms per conventional cell
- Symmetry operations
- 4 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| As1 | As | 4a | 4 | 0.1456 | 0.2341 | 0.6970 |
| As2 | As | 4a | 4 | 0.2206 | 0.4828 | 0.7988 |
| As3 | As | 4a | 4 | 0.1867 | 0.1052 | 0.2912 |
| As4 | As | 4a | 4 | 0.2491 | 0.3544 | 0.1900 |
| O10 | O | 4a | 4 | 0.0777 | 0.3681 | 0.7514 |
| O11 | O | 4a | 4 | 0.2725 | 0.3751 | 0.6590 |
| O12 | O | 4a | 4 | 0.0556 | 0.3427 | 0.0205 |
| O13 | O | 4a | 4 | 0.3251 | 0.3037 | 0.5205 |
| O14 | O | 4a | 4 | 0.4811 | 0.0546 | 0.5933 |
| O15 | O | 4a | 4 | 0.0026 | 0.0009 | 0.3163 |
| O16 | O | 4a | 4 | 0.3813 | 0.3334 | 0.8212 |
| O17 | O | 4a | 4 | 0.2817 | 0.0576 | 0.7178 |
| O18 | O | 4a | 4 | 0.1680 | 0.0503 | 0.9182 |
| O5 | O | 4a | 4 | 0.4586 | 0.3299 | 0.0288 |
| O6 | O | 4a | 4 | 0.0936 | 0.3899 | 0.1424 |
| O7 | O | 4a | 4 | 0.4187 | 0.2147 | 0.1674 |
| O8 | O | 4a | 4 | 0.1085 | 0.2261 | 0.2345 |
| O9 | O | 4a | 4 | 0.2999 | 0.2626 | 0.3278 |
| Sr19 | Sr | 4a | 4 | 0.2643 | 0.2269 | 0.4264 |
| Sr20 | Sr | 4a | 4 | 0.0270 | 0.3482 | 0.5732 |
| Sr21 | Sr | 4a | 4 | 0.1541 | 0.3958 | 0.9286 |
| Sr22 | Sr | 4a | 4 | 0.3747 | 0.2577 | 0.0646 |
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 88 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
A2B7C2_tP88_78_4a_14a_4a-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol tP88, then the space-group number 78, then the Wyckoff letters occupied by each element in turn (As: 4a; As: 4a; As: 4a; As: 4a; O: 4a; O: 4a; O: 4a; O: 4a; O: 4a; O: 4a; O: 4a; O: 4a; O: 4a; O: 4a; O: 4a; O: 4a; O: 4a; O: 4a; Sr: 4a; Sr: 4a; Sr: 4a; Sr: 4a). 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 A2B7C2_tP88_78_4a_14a_4a-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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