Crystal Lab › Prototype structures › Orthorhombic
AgEuTiO₄
Orthorhombic · space group Pbcm (No. 57) · Pearson oP28
Symmetry elements and Wyckoff positions (interactive)
AgEuTiO₄ in Pbcm
SettingUnit 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
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| O1 | O | 4c | 4 | 0.2345 | 0.2500 | 0.0000 |
| O2 | O | 4c | 4 | 0.7717 | 0.2500 | 0.0000 |
| Ag3 | Ag | 4d | 4 | 0.5809 | 0.0254 | 0.2500 |
| Eu4 | Eu | 4d | 4 | 0.8940 | 0.0094 | 0.2500 |
| O5 | O | 4d | 4 | 0.0750 | 0.0266 | 0.2500 |
| O6 | O | 4d | 4 | 0.3986 | 0.0070 | 0.2500 |
| Ti7 | Ti | 4d | 4 | 0.2662 | 0.0104 | 0.2500 |
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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