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Orthorhombic BaTiO₃ BaO₃Ti

Orthorhombic · space group Amm2 (No. 38) · Pearson oC10

Symmetry elements and Wyckoff positions (interactive)

Orthorhombic BaTiO₃ in Amm2

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

Unit cell

Lattice constants
a = 3.990 Å, b = 5.669 Å, c = 5.682 Å; α = 90.00°, β = 90.00°, γ = 90.00°
Cell volume
128.5 ų
Atoms in the conventional cell
10 (Ba 2, O 6, Ti 2)
Formula units Z
2
Pearson symbol
oC10 — orthorhombic, base-centred lattice, 10 atoms per conventional cell
Symmetry operations
8 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Ba1Ba2a20.00000.00000.0000
O2O2a20.00000.00000.4900
Ti4Ti2b20.50000.00000.5100
O3O4e40.50000.74700.2370

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 10 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

AB3C_oC10_38_a_ae_b-002: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol oC10, then the space-group number 38, then the Wyckoff letters occupied by each element in turn (Ba: 2a; O: 2a; Ti: 2b; O: 4e). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Note: Orthorhombic BaTiO₃.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry AB3C_oC10_38_a_ae_b-002 (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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