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Yttrium titanate (pyrochlore) Y₂Ti₂O₇

Pyrochlore A₂B₂O₇ · space group Fd-3m:2 (No. 227) · Z = 8

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Symmetry elements and Wyckoff positions (interactive)

Yttrium titanate (pyrochlore) in Fd-3m:2

Setting
Loading 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)

Atomxyz
Y0.50000.50000.5000
Y0.50000.75000.7500
Y0.25000.75000.0000
Y0.25000.50000.2500
Y0.00000.25000.7500
Y0.25000.25000.5000
Y0.75000.50000.7500
Y0.75000.25000.0000
Y0.50000.25000.2500
Y0.00000.75000.2500
Y0.75000.75000.5000
Y0.50000.00000.0000
Y0.25000.00000.7500
Y0.75000.00000.2500
Y0.00000.50000.0000
Y0.00000.00000.5000
Ti0.00000.00000.0000
Ti0.00000.25000.2500
Ti0.75000.25000.5000
Ti0.75000.00000.7500
Ti0.50000.75000.2500
Ti0.75000.75000.0000
Ti0.25000.00000.2500
Ti0.25000.75000.5000
Ti0.00000.75000.7500
Ti0.50000.25000.7500
Ti0.25000.25000.0000
Ti0.00000.50000.5000
Ti0.75000.50000.2500
Ti0.25000.50000.7500
Ti0.50000.00000.5000
Ti0.50000.50000.0000
O0.32530.12500.1250
O0.87500.57530.3750
O0.42470.12500.6250
O0.87500.67470.8750
O0.12500.32530.1250
O0.67470.37500.3750
O0.62500.92470.6250
O0.07530.87500.8750
O0.12500.92470.1250
O0.07530.37500.3750
O0.62500.32530.6250
O0.67470.87500.8750
O0.12500.12500.3253
O0.87500.87500.6747
O0.37500.87500.5753
O0.12500.12500.9247
O0.12500.62500.8253
O0.12500.42470.6250
O0.57530.87500.3750
O0.32530.62500.6250
O0.37500.07530.3750
O0.92470.12500.1250
O0.87500.07530.8750
O0.92470.62500.6250
O0.37500.67470.3750
O0.62500.12500.4247
O0.87500.87500.0753
O0.87500.37500.1747
O0.42470.62500.1250
O0.87500.17470.3750
O0.12500.82530.6250
O0.62500.42470.1250
O0.62500.82530.1250
O0.37500.37500.0753
O0.12500.62500.4247
O0.57530.37500.8750
O0.37500.57530.8750
O0.37500.17470.8750
O0.62500.62500.9247
O0.87500.37500.5753
O0.82530.12500.6250
O0.17470.37500.8750
O0.17470.87500.3750
O0.62500.12500.8253
O0.37500.87500.1747
O0.62500.62500.3253
O0.82530.62500.1250
O0.37500.37500.6747
O0.37500.37500.3750
O0.62500.62500.6250
O0.37500.87500.8750
O0.12500.62500.1250
O0.12500.12500.6250
O0.87500.37500.8750
O0.62500.12500.1250
O0.87500.87500.3750

Z, coordination numbers, distances, density and packing on this page are computed from these coordinates.

Other oxides & frameworks

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