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Crystal Lab › Prototype structures › Tetragonal

Sr₃Ti₂O₇

Tetragonal · space group I4/mmm (No. 139) · Pearson tI24

Symmetry elements and Wyckoff positions (interactive)

Sr₃Ti₂O₇ in I4/mmm

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

Unit cell

Lattice constants
a = 3.900 Å, b = 3.900 Å, c = 20.380 Å; α = 90.00°, β = 90.00°, γ = 90.00°
Cell volume
310.0 ų
Atoms in the conventional cell
24 (O 14, Sr 6, Ti 4)
Formula units Z
2
Pearson symbol
tI24 — tetragonal, body-centred lattice, 24 atoms per conventional cell
Symmetry operations
32 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
O1O2a20.00000.00000.0000
Sr4Sr2b20.00000.00000.5000
O2O4e40.00000.00000.1880
Sr5Sr4e40.00000.00000.3120
Ti6Ti4e40.00000.00000.0940
O3O8g80.00000.50000.0940

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 24 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

A7B3C2_tI24_139_aeg_be_e-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol tI24, then the space-group number 139, then the Wyckoff letters occupied by each element in turn (O: 2a; Sr: 2b; O: 4e; Sr: 4e; Ti: 4e; O: 8g). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Other compounds with this structure

Ca₃Ti₂O₇, La₃Ti₂O₇, Sr₃Fe₂O₇, Sr₃Ru₂O₇, BaLa₂Fe₂O₇, SrTb₂Fe₂O₇ <!--beginning with an

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A7B3C2_tI24_139_aeg_be_e-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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