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Crystal Lab › Prototype structures › Trigonal

Fe₃PO₇

Trigonal · space group R3m (No. 160) · Pearson hR11

Symmetry elements and Wyckoff positions (interactive)

Fe₃PO₇ in R3m

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

Unit cell

Lattice constants
a = 8.006 Å, b = 8.006 Å, c = 6.863 Å; α = 90.00°, β = 90.00°, γ = 120.00°
Cell volume
381.0 ų
Atoms in the conventional cell
33 (O 21, P 3, Fe 9)
Formula units Z
3
Pearson symbol
hR11 — hexagonal / trigonal, rhombohedral lattice, 11 atoms per conventional cell
Symmetry operations
18 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
O2O3a30.00000.00000.2289
P5P3a30.00000.00000.0000
Fe1Fe9b90.13030.86970.4092
O3O9b90.87420.12580.5153
O4O9b90.22970.77030.6033

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 33 atoms drawn above are these sites multiplied by all 18 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

A3B7C_hR11_160_b_a2b_a-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hR11, then the space-group number 160, then the Wyckoff letters occupied by each element in turn (O: 3a; P: 3a; Fe: 9b; O: 9b; O: 9b). 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 A3B7C_hR11_160_b_a2b_a-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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