Rhombohedral BaTiO₃ BaO₃Ti

Unit cell

Lattice constants

a = 5.651 Å, b = 5.651 Å, c = 6.948 Å; α = 90.00°, β = 90.00°, γ = 120.00°

Cell volume

192.1 ų

Atoms in the conventional cell

15 (Ba 3, Ti 3, O 9)

Formula units Z

3

Pearson symbol

hR5 — hexagonal / trigonal, rhombohedral lattice, 5 atoms per conventional cell

Symmetry operations

18 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 15 atoms drawn above are these sites multiplied by all 18 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_hR5_160_a_b_a-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hR5, then the space-group number 160, then the Wyckoff letters occupied by each element in turn (Ba: 3a; Ti: 3a; O: 9b). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Note: Rhombohedral BaTiO₃.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry AB3C_hR5_160_a_b_a-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.