Crystal Lab › Oxides & frameworks
Yttrium titanate (pyrochlore) Y₂Ti₂O₇
Pyrochlore A₂B₂O₇ · space group Fd-3m:2 (No. 227) · Z = 8
Symmetry elements and Wyckoff positions (interactive)
Yttrium titanate (pyrochlore) in Fd-3m:2
SettingLoading the group…
x = 0.10, y = 0.17, z = 0.08
Unit cell
- Lattice constants
- a = 10.099 Å, b = 10.099 Å, c = 10.099 Å; α = 90°, β = 90°, γ = 90°
- Cell volume
- 1029.9 ų
- Atoms in the cell
- 88 (Y 16, Ti 16, O 56)
- Formula units Z
- 8
- Calculated density
- 4.97 g cm⁻³
- Shortest contact
- 1.940 Å
Coordination
- Y
- CN 2 at 2.19 Å (2 O)
- Ti
- CN 6 at 1.94 Å (6 O)
- O
- CN 2 at 1.94 Å (1.71 Ti + 0.57 Y)
About the structure
- A fluorite superstructure with one oxygen in eight removed in an ordered way: Ti⁴⁺ become six-coordinate (corner-sharing TiO₆ octahedra), Y³⁺ stay eight-coordinate in a distorted cube.
- The pyrochlore lattice of corner-sharing tetrahedra of A sites is geometrically frustrated — Ho₂Ti₂O₇ and Dy₂Ti₂O₇ on this framework are the "spin ice" materials.
- Coordinates from the Crystallography Open Database, entry 4030878 (open data); hydrogen and water sites with partial occupancy below 0.5 are left out.
Atom positions (fractional, one cell)
| Atom | x | y | z |
|---|---|---|---|
| Y | 0.5000 | 0.5000 | 0.5000 |
| Y | 0.5000 | 0.7500 | 0.7500 |
| Y | 0.2500 | 0.7500 | 0.0000 |
| Y | 0.2500 | 0.5000 | 0.2500 |
| Y | 0.0000 | 0.2500 | 0.7500 |
| Y | 0.2500 | 0.2500 | 0.5000 |
| Y | 0.7500 | 0.5000 | 0.7500 |
| Y | 0.7500 | 0.2500 | 0.0000 |
| Y | 0.5000 | 0.2500 | 0.2500 |
| Y | 0.0000 | 0.7500 | 0.2500 |
| Y | 0.7500 | 0.7500 | 0.5000 |
| Y | 0.5000 | 0.0000 | 0.0000 |
| Y | 0.2500 | 0.0000 | 0.7500 |
| Y | 0.7500 | 0.0000 | 0.2500 |
| Y | 0.0000 | 0.5000 | 0.0000 |
| Y | 0.0000 | 0.0000 | 0.5000 |
| Ti | 0.0000 | 0.0000 | 0.0000 |
| Ti | 0.0000 | 0.2500 | 0.2500 |
| Ti | 0.7500 | 0.2500 | 0.5000 |
| Ti | 0.7500 | 0.0000 | 0.7500 |
| Ti | 0.5000 | 0.7500 | 0.2500 |
| Ti | 0.7500 | 0.7500 | 0.0000 |
| Ti | 0.2500 | 0.0000 | 0.2500 |
| Ti | 0.2500 | 0.7500 | 0.5000 |
| Ti | 0.0000 | 0.7500 | 0.7500 |
| Ti | 0.5000 | 0.2500 | 0.7500 |
| Ti | 0.2500 | 0.2500 | 0.0000 |
| Ti | 0.0000 | 0.5000 | 0.5000 |
| Ti | 0.7500 | 0.5000 | 0.2500 |
| Ti | 0.2500 | 0.5000 | 0.7500 |
| Ti | 0.5000 | 0.0000 | 0.5000 |
| Ti | 0.5000 | 0.5000 | 0.0000 |
| O | 0.3253 | 0.1250 | 0.1250 |
| O | 0.8750 | 0.5753 | 0.3750 |
| O | 0.4247 | 0.1250 | 0.6250 |
| O | 0.8750 | 0.6747 | 0.8750 |
| O | 0.1250 | 0.3253 | 0.1250 |
| O | 0.6747 | 0.3750 | 0.3750 |
| O | 0.6250 | 0.9247 | 0.6250 |
| O | 0.0753 | 0.8750 | 0.8750 |
| O | 0.1250 | 0.9247 | 0.1250 |
| O | 0.0753 | 0.3750 | 0.3750 |
| O | 0.6250 | 0.3253 | 0.6250 |
| O | 0.6747 | 0.8750 | 0.8750 |
| O | 0.1250 | 0.1250 | 0.3253 |
| O | 0.8750 | 0.8750 | 0.6747 |
| O | 0.3750 | 0.8750 | 0.5753 |
| O | 0.1250 | 0.1250 | 0.9247 |
| O | 0.1250 | 0.6250 | 0.8253 |
| O | 0.1250 | 0.4247 | 0.6250 |
| O | 0.5753 | 0.8750 | 0.3750 |
| O | 0.3253 | 0.6250 | 0.6250 |
| O | 0.3750 | 0.0753 | 0.3750 |
| O | 0.9247 | 0.1250 | 0.1250 |
| O | 0.8750 | 0.0753 | 0.8750 |
| O | 0.9247 | 0.6250 | 0.6250 |
| O | 0.3750 | 0.6747 | 0.3750 |
| O | 0.6250 | 0.1250 | 0.4247 |
| O | 0.8750 | 0.8750 | 0.0753 |
| O | 0.8750 | 0.3750 | 0.1747 |
| O | 0.4247 | 0.6250 | 0.1250 |
| O | 0.8750 | 0.1747 | 0.3750 |
| O | 0.1250 | 0.8253 | 0.6250 |
| O | 0.6250 | 0.4247 | 0.1250 |
| O | 0.6250 | 0.8253 | 0.1250 |
| O | 0.3750 | 0.3750 | 0.0753 |
| O | 0.1250 | 0.6250 | 0.4247 |
| O | 0.5753 | 0.3750 | 0.8750 |
| O | 0.3750 | 0.5753 | 0.8750 |
| O | 0.3750 | 0.1747 | 0.8750 |
| O | 0.6250 | 0.6250 | 0.9247 |
| O | 0.8750 | 0.3750 | 0.5753 |
| O | 0.8253 | 0.1250 | 0.6250 |
| O | 0.1747 | 0.3750 | 0.8750 |
| O | 0.1747 | 0.8750 | 0.3750 |
| O | 0.6250 | 0.1250 | 0.8253 |
| O | 0.3750 | 0.8750 | 0.1747 |
| O | 0.6250 | 0.6250 | 0.3253 |
| O | 0.8253 | 0.6250 | 0.1250 |
| O | 0.3750 | 0.3750 | 0.6747 |
| O | 0.3750 | 0.3750 | 0.3750 |
| O | 0.6250 | 0.6250 | 0.6250 |
| O | 0.3750 | 0.8750 | 0.8750 |
| O | 0.1250 | 0.6250 | 0.1250 |
| O | 0.1250 | 0.1250 | 0.6250 |
| O | 0.8750 | 0.3750 | 0.8750 |
| O | 0.6250 | 0.1250 | 0.1250 |
| O | 0.8750 | 0.8750 | 0.3750 |
Z, coordination numbers, distances, density and packing on this page are computed from these coordinates.
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