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Crystal Lab › Prototype structures › Trigonal

Ti₃O (Room-Temperature)

Trigonal · space group P312 (No. 149) · Pearson hP24

Symmetry elements and Wyckoff positions (interactive)

Ti₃O (Room-Temperature) in P312

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

Unit cell

Lattice constants
a = 5.142 Å, b = 5.142 Å, c = 14.308 Å; α = 90.00°, β = 90.00°, γ = 120.00°
Cell volume
327.6 ų
Atoms in the conventional cell
24 (O 6, Ti 18)
Formula units Z
6
Pearson symbol
hP24 — hexagonal / trigonal, primitive lattice, 24 atoms per conventional cell
Symmetry operations
6 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
O1O1a10.00000.00000.0000
O2O1c10.33330.66670.0000
O3O2g20.00000.00000.3333
O4O2i20.66670.33330.3333
Ti5Ti6l60.00000.33330.4210
Ti6Ti6l60.33330.33330.2460
Ti7Ti6l60.00000.33330.0880

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 6 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

AB3_hP24_149_acgi_3l-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hP24, then the space-group number 149, then the Wyckoff letters occupied by each element in turn (O: 1a; O: 1c; O: 2g; O: 2i; Ti: 6l; Ti: 6l; Ti: 6l). 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 AB3_hP24_149_acgi_3l-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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