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Crystal Lab › Prototype structures › Orthorhombic

Orthorhombic Bi₃NbTiO₉ m = 2 Aurivillius Bi₃Nb₂O₉

Orthorhombic · space group Fmmm (No. 69) · Pearson oF56

Symmetry elements and Wyckoff positions (interactive)

Orthorhombic Bi₃NbTiO₉ m = 2 Aurivillius in Fmmm

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

Unit cell

Lattice constants
a = 25.110 Å, b = 5.405 Å, c = 5.442 Å; α = 90.00°, β = 90.00°, γ = 90.00°
Cell volume
738.6 ų
Atoms in the conventional cell
56 (Bi 12, O 36, Nb 8)
Formula units Z
4
Pearson symbol
oF56 — orthorhombic, face-centred lattice, 56 atoms per conventional cell
Symmetry operations
32 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Bi1Bi4a40.00000.00000.0000
O4O4b40.00000.00000.5000
O5O8f80.25000.25000.2500
Bi2Bi8g80.20000.00000.0000
Nb3Nb8g80.41200.00000.0000
O6O8g80.32400.00000.0000
O7O16l160.58800.25000.2500

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 56 atoms drawn above are these sites multiplied by all 32 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

A3B2C9_oF56_69_ag_g_bfgl-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol oF56, then the space-group number 69, then the Wyckoff letters occupied by each element in turn (Bi: 4a; O: 4b; O: 8f; Bi: 8g; Nb: 8g; O: 8g; O: 16l). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Other compounds with this structure

BaBi₂Nb₂O₉, CaBi₂Nb₂O₉, KBi₂Nb₂O₉, NaBi₂Nb₂O₉, PbBi₂Nb₂O₉, SrBi₂Nb₂O₉ <!--beginning with an

Note: m = 2 Aurivillius.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A3B2C9_oF56_69_ag_g_bfgl-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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