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Ba₂Ti₂Fe₂As₄O

Tetragonal · space group I4/mmm (No. 139) · Pearson tI22

Symmetry elements and Wyckoff positions (interactive)

Ba₂Ti₂Fe₂As₄O in I4/mmm

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

Unit cell

Lattice constants
a = 4.028 Å, b = 4.028 Å, c = 27.344 Å; α = 90.00°, β = 90.00°, γ = 90.00°
Cell volume
443.6 ų
Atoms in the conventional cell
22 (O 2, Ti 4, Fe 4, As 8, Ba 4)
Formula units Z
2
Pearson symbol
tI22 — tetragonal, body-centred lattice, 22 atoms per conventional cell
Symmetry operations
32 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
O5O2a20.00000.00000.0000
Ti6Ti4c40.00000.50000.0000
Fe4Fe4d40.00000.50000.2500
As1As4e40.00000.00000.2996
As2As4e40.00000.00000.5645
Ba3Ba4e40.00000.00000.1321

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 22 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

A4B2C2DE2_tI22_139_2e_e_d_a_c-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol tI22, then the space-group number 139, then the Wyckoff letters occupied by each element in turn (O: 2a; Ti: 4c; Fe: 4d; As: 4e; As: 4e; Ba: 4e). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A4B2C2DE2_tI22_139_2e_e_d_a_c-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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