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Crystal Lab › Prototype structures › Orthorhombic

AgEuTiO₄

Orthorhombic · space group Pbcm (No. 57) · Pearson oP28

Symmetry elements and Wyckoff positions (interactive)

AgEuTiO₄ in Pbcm

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

Unit cell

Lattice constants
a = 12.828 Å, b = 5.282 Å, c = 5.282 Å; α = 90.00°, β = 90.00°, γ = 90.00°
Cell volume
357.9 ų
Atoms in the conventional cell
28 (O 16, Ag 4, Eu 4, Ti 4)
Formula units Z
4
Pearson symbol
oP28 — orthorhombic, primitive lattice, 28 atoms per conventional cell
Symmetry operations
8 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
O1O4c40.23450.25000.0000
O2O4c40.77170.25000.0000
Ag3Ag4d40.58090.02540.2500
Eu4Eu4d40.89400.00940.2500
O5O4d40.07500.02660.2500
O6O4d40.39860.00700.2500
Ti7Ti4d40.26620.01040.2500

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

ABC4D_oP28_57_d_d_2c2d_d-001: 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 57, then the Wyckoff letters occupied by each element in turn (O: 4c; O: 4c; Ag: 4d; Eu: 4d; O: 4d; O: 4d; Ti: 4d). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Other compounds with this structure

KDyTiO₄, KEuTiO₄, KSmTiO₄, NaEuTiO₄, NaGdTiO₄, NaYTiO₄, (La, Sr)₂TiO₄ <!--beginning with an

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry ABC4D_oP28_57_d_d_2c2d_d-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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