Crystal Lab › Prototype structures › Tetragonal
β-Ca₂P₂O₇ Ca₂O₇P₂
Tetragonal · space group P41 (No. 76) · Pearson tP88
Symmetry elements and Wyckoff positions (interactive)
β-Ca₂P₂O₇ in P41
SettingUnit cell
- Lattice constants
- a = 6.686 Å, b = 6.686 Å, c = 24.147 Å; α = 90.00°, β = 90.00°, γ = 90.00°
- Cell volume
- 1079.4 ų
- Atoms in the conventional cell
- 88 (Ca 16, O 56, P 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 |
|---|---|---|---|---|---|---|
| Ca1 | Ca | 4a | 4 | 0.1374 | 0.2313 | 0.0000 |
| Ca2 | Ca | 4a | 4 | 0.1591 | 0.5447 | 0.2426 |
| Ca3 | Ca | 4a | 4 | 0.7895 | 0.7337 | 0.1380 |
| Ca4 | Ca | 4a | 4 | 0.3627 | 0.1054 | 0.1355 |
| O10 | O | 4a | 4 | 0.0519 | 0.1769 | 0.0953 |
| O11 | O | 4a | 4 | 0.8994 | 0.4088 | 0.1695 |
| O12 | O | 4a | 4 | 0.8537 | 0.7907 | 0.0433 |
| O13 | O | 4a | 4 | 0.1855 | 0.8795 | 0.9989 |
| O14 | O | 4a | 4 | 0.0229 | 0.5542 | 0.9751 |
| O15 | O | 4a | 4 | 0.1582 | 0.5873 | 0.0666 |
| O16 | O | 4a | 4 | 0.3450 | 0.4526 | 0.1474 |
| O17 | O | 4a | 4 | 0.4622 | 0.7756 | 0.1015 |
| O18 | O | 4a | 4 | 0.1474 | 0.7722 | 0.1572 |
| O5 | O | 4a | 4 | 0.4607 | 0.1584 | 0.0426 |
| O6 | O | 4a | 4 | 0.7727 | 0.1984 | 0.9867 |
| O7 | O | 4a | 4 | 0.5303 | 0.4921 | 0.9999 |
| O8 | O | 4a | 4 | 0.7395 | 0.3776 | 0.0789 |
| O9 | O | 4a | 4 | 0.7364 | 0.0873 | 0.1469 |
| P19 | P | 4a | 4 | 0.6213 | 0.3078 | 0.0234 |
| P20 | P | 4a | 4 | 0.8673 | 0.2534 | 0.1243 |
| P21 | P | 4a | 4 | 0.0463 | 0.7148 | 0.0186 |
| P22 | P | 4a | 4 | 0.2873 | 0.6462 | 0.1207 |
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_76_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 76, then the Wyckoff letters occupied by each element in turn (Ca: 4a; Ca: 4a; Ca: 4a; Ca: 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; P: 4a; P: 4a; P: 4a; P: 4a). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Other compounds with this structure
Eu₂Si₂O₇, La₂Si₂O₇, Nd₂Si₂O₇, Pr₂Si₂O₇, Sm₂Si₂O₇ <!--beginning with an
Note: \beta-Ca₂P₂O₇.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A2B7C2_tP88_76_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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