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Crystal Lab › Prototype structures › Tetragonal

CuTi₃ (L6₀)

Tetragonal · space group P4/mmm (No. 123) · Pearson tP4 · Strukturbericht L60

Symmetry elements and Wyckoff positions (interactive)

CuTi₃ (L6₀) in P4/mmm

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

Unit cell

Lattice constants
a = 4.158 Å, b = 4.158 Å, c = 3.594 Å; α = 90.00°, β = 90.00°, γ = 90.00°
Cell volume
62.1 ų
Atoms in the conventional cell
4 (Cu 1, Ti 3)
Formula units Z
1
Pearson symbol
tP4 — tetragonal, primitive lattice, 4 atoms per conventional cell
Symmetry operations
16 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Cu1Cu1a10.00000.00000.0000
Ti2Ti1c10.50000.50000.0000
Ti3Ti2e20.00000.50000.5000

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 4 atoms drawn above are these sites multiplied by all 16 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_tP4_123_a_ce-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol tP4, then the space-group number 123, then the Wyckoff letters occupied by each element in turn (Cu: 1a; Ti: 1c; Ti: 2e). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Other compounds with this structure

AgZr₃, AlPu₃, BaBi₃, alpha'CdAu₃, CuZr₃, DyIn₃, GaPu₃, InPt₃, MnAu₃, SrPb₃, TlPd₃ <!--beginning with an

Note: L6₀.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry AB3_tP4_123_a_ce-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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