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Crystal Lab › Prototype structures › Tetragonal

Ti₂Cu₃

Tetragonal · space group P4/nmm (No. 129) · Pearson tP10

Symmetry elements and Wyckoff positions (interactive)

Ti₂Cu₃ in P4/nmm

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

Unit cell

Lattice constants
a = 3.130 Å, b = 3.130 Å, c = 13.950 Å; α = 90.00°, β = 90.00°, γ = 90.00°
Cell volume
136.7 ų
Atoms in the conventional cell
10 (Cu 6, Ti 4)
Formula units Z
2
Pearson symbol
tP10 — tetragonal, primitive lattice, 10 atoms per conventional cell
Symmetry operations
16 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Cu1Cu2c20.25000.25000.9500
Cu2Cu2c20.25000.25000.7500
Cu3Cu2c20.25000.25000.3500
Ti4Ti2c20.25000.25000.1400
Ti5Ti2c20.25000.25000.5600

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 10 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

A3B2_tP10_129_3c_2c-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol tP10, then the space-group number 129, then the Wyckoff letters occupied by each element in turn (Cu: 2c; Cu: 2c; Cu: 2c; Ti: 2c; Ti: 2c). 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 A3B2_tP10_129_3c_2c-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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