Orthorhombic Bi₄Ti₃O₁₂ m = 3 Aurivillius Bi₄O₁₂Ti₃

Unit cell

Lattice constants

a = 32.840 Å, b = 5.448 Å, c = 5.510 Å; α = 90.00°, β = 90.00°, γ = 90.00°

Cell volume

985.8 ų

Atoms in the conventional cell

76 (Ti 12, O 48, Bi 16)

Formula units Z

4

Pearson symbol

oF76 — orthorhombic, face-centred lattice, 76 atoms per conventional cell

Symmetry operations

32 per cell

Crystallographic sites

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 76 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

A4B12C3_oF76_69_2g_cf2gl_ag-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol oF76, then the space-group number 69, then the Wyckoff letters occupied by each element in turn (Ti: 4a; O: 8c; O: 8f; Bi: 8g; Bi: 8g; O: 8g; O: 8g; Ti: 8g; O: 16l). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Note: m = 3 Aurivillius.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A4B12C3_oF76_69_2g_cf2gl_ag-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.