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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

Setting
Loading the group…
x = 0.10, y = 0.17, z = 0.08

Unit 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

SiteElementWyckoffMultiplicityxyz
Ag1Ag8c80.16560.21410.1245
Cu2Cu8c80.32380.02950.3842
O3O8c80.32230.06860.0572
O4O8c80.50400.44170.1790
O5O8c80.14810.11510.4679
O6O8c80.41640.30140.3302
P7P8c80.46930.39020.4012

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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