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Crystal Lab › Prototype structures › Orthorhombic

Eu₃O₄

Orthorhombic · space group Pnma (No. 62) · Pearson oP28

Symmetry elements and Wyckoff positions (interactive)

Eu₃O₄ in Pnma

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

Unit cell

Lattice constants
a = 10.085 Å, b = 3.502 Å, c = 12.054 Å; α = 90.00°, β = 90.00°, γ = 90.00°
Cell volume
425.7 ų
Atoms in the conventional cell
28 (Eu 12, O 16)
Formula units Z
4
Pearson symbol
oP28 — orthorhombic, primitive lattice, 28 atoms per conventional cell
Symmetry operations
8 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Eu1Eu4c40.75600.25000.6540
Eu2Eu4c40.43300.25000.6100
Eu3Eu4c40.42000.25000.1080
O4O4c40.20800.25000.1620
O5O4c40.11500.25000.4770
O6O4c40.02100.25000.7160
O7O4c40.41900.25000.4240

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 28 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

A3B4_oP28_62_3c_4c-003: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol oP28, then the space-group number 62, then the Wyckoff letters occupied by each element in turn (Eu: 4c; Eu: 4c; Eu: 4c; O: 4c; O: 4c; O: 4c; O: 4c). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Other compounds with this structure

Mn₃O₄, Yb₃O₄, Yb₃Se₄ <!--beginning with an

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A3B4_oP28_62_3c_4c-003 (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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