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Crystal Lab › Prototype structures › Orthorhombic

Low Temperature BaBi₄Ti₄O₁₅ BaBi₄O₁₅Ti₄

Orthorhombic · space group Cmc21 (No. 36) · Pearson oC96

Symmetry elements and Wyckoff positions (interactive)

Low Temperature BaBi₄Ti₄O₁₅ in Cmc21

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

Unit cell

Lattice constants
a = 41.865 Å, b = 5.457 Å, c = 5.471 Å; α = 90.00°, β = 90.00°, γ = 90.00°
Cell volume
1249.7 ų
Atoms in the conventional cell
96 (Ba 4, O 60, Bi 16, Ti 16)
Formula units Z
4
Pearson symbol
oC96 — orthorhombic, base-centred lattice, 96 atoms per conventional cell
Symmetry operations
8 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Ba1Ba4a40.00000.75300.2500
O4O4a40.00000.29100.3210
Bi2Bi8b80.60650.25300.2740
Bi3Bi8b80.72080.25100.2800
O10O8b80.54350.52000.0360
O11O8b80.64400.49100.0530
O5O8b80.54950.96300.5910
O6O8b80.90530.23100.3070
O7O8b80.64370.00000.5450
O8O8b80.80470.26100.2860
O9O8b80.74990.00100.5370
Ti12Ti8b80.94940.25600.2770
Ti13Ti8b80.84650.25100.2960

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 96 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

AB4C15D4_oC96_36_a_2b_a7b_2b-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol oC96, then the space-group number 36, then the Wyckoff letters occupied by each element in turn (Ba: 4a; O: 4a; Bi: 8b; Bi: 8b; O: 8b; O: 8b; O: 8b; O: 8b; O: 8b; O: 8b; O: 8b; Ti: 8b; Ti: 8b). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Note: RT.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry AB4C15D4_oC96_36_a_2b_a7b_2b-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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