Crystal Lab › Prototype structures › Orthorhombic
β-AgCuPO₄ AgCuO₄P
Orthorhombic · space group Pbca (No. 61) · Pearson oP56
Symmetry elements and Wyckoff positions (interactive)
β-AgCuPO₄ in Pbca
SettingUnit cell
- Lattice constants
- a = 7.500 Å, b = 15.750 Å, c = 5.702 Å; α = 90.00°, β = 90.00°, γ = 90.00°
- Cell volume
- 673.5 ų
- Atoms in the conventional cell
- 56 (Ag 8, Cu 8, O 32, P 8)
- Formula units Z
- 8
- Pearson symbol
- oP56 — orthorhombic, primitive lattice, 56 atoms per conventional cell
- Symmetry operations
- 8 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Ag1 | Ag | 8c | 8 | 0.1656 | 0.2141 | 0.1245 |
| Cu2 | Cu | 8c | 8 | 0.3238 | 0.0295 | 0.3842 |
| O3 | O | 8c | 8 | 0.3223 | 0.0686 | 0.0572 |
| O4 | O | 8c | 8 | 0.5040 | 0.4417 | 0.1790 |
| O5 | O | 8c | 8 | 0.1481 | 0.1151 | 0.4679 |
| O6 | O | 8c | 8 | 0.4164 | 0.3014 | 0.3302 |
| P7 | P | 8c | 8 | 0.4693 | 0.3902 | 0.4012 |
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 56 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
ABC4D_oP56_61_c_c_4c_c-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol oP56, then the space-group number 61, then the Wyckoff letters occupied by each element in turn (Ag: 8c; Cu: 8c; O: 8c; O: 8c; O: 8c; O: 8c; P: 8c). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Note: \beta-AgCuPO₄.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry ABC4D_oP56_61_c_c_4c_c-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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