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Crystal Lab › Prototype structures › Tetragonal

High Temperature BaBi₄Ti₄O₁₅ m = 4 Aurivillius BaBi₄O₁₅Ti₄

Tetragonal · space group I4/mmm (No. 139) · Pearson tI48

Symmetry elements and Wyckoff positions (interactive)

High Temperature BaBi₄Ti₄O₁₅ m = 4 Aurivillius in I4/mmm

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

Unit cell

Lattice constants
a = 3.894 Å, b = 3.894 Å, c = 42.291 Å; α = 90.00°, β = 90.00°, γ = 90.00°
Cell volume
641.1 ų
Atoms in the conventional cell
48 (Ba 2, O 30, Bi 8, Ti 8)
Formula units Z
2
Pearson symbol
tI48 — tetragonal, body-centred lattice, 48 atoms per conventional cell
Symmetry operations
32 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Ba1Ba2a20.00000.00000.0000
O4O2b20.00000.00000.5000
O5O4d40.00000.50000.2500
Bi2Bi4e40.00000.00000.1065
Bi3Bi4e40.00000.00000.2208
O6O4e40.00000.00000.4053
O7O4e40.00000.00000.3047
Ti10Ti4e40.00000.00000.4494
Ti11Ti4e40.00000.00000.3465
O8O8g80.00000.50000.0495
O9O8g80.00000.50000.1437

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 48 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

AB4C15D4_tI48_139_a_2e_bd2e2g_2e-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol tI48, then the space-group number 139, then the Wyckoff letters occupied by each element in turn (Ba: 2a; O: 2b; O: 4d; Bi: 4e; Bi: 4e; O: 4e; O: 4e; Ti: 4e; Ti: 4e; O: 8g; O: 8g). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Other compounds with this structure

PbBi₄Ti₄O₁₅, Bi₅Ti₃GaO₁₅ <!--beginning with an

Note: HT m=4 Aurivillius.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry AB4C15D4_tI48_139_a_2e_bd2e2g_2e-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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