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β-TiCu₃ (D0_{a})

Orthorhombic · space group Pmmn (No. 59) · Pearson oP8 · Strukturbericht D0a

Symmetry elements and Wyckoff positions (interactive)

β-TiCu₃ (D0_{a}) in Pmmn

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

Unit cell

Lattice constants
a = 4.347 Å, b = 5.162 Å, c = 4.531 Å; α = 90.00°, β = 90.00°, γ = 90.00°
Cell volume
101.7 ų
Atoms in the conventional cell
8 (Cu 6, Ti 2)
Formula units Z
2
Pearson symbol
oP8 — orthorhombic, primitive lattice, 8 atoms per conventional cell
Symmetry operations
8 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Cu1Cu2a20.25000.25000.3290
Ti3Ti2b20.25000.75000.3287
Cu2Cu4e40.25000.49500.8260

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 8 atoms drawn above are these sites multiplied by all 8 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

A3B_oP8_59_ae_b-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol oP8, then the space-group number 59, then the Wyckoff letters occupied by each element in turn (Cu: 2a; Ti: 2b; Cu: 4e). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Other compounds with this structure

HfAu₃, InAu₃, MoNi₃, NbNi₃, α-NbPt₃, β-SbCu₃ (H.T.), SbNi₃ (L.T.), TaNi₃ (L.T.), TaPt₃, TiAu₃, β-TiCu₃ (L.T.), ZrAu₃ <!--beginning with an

Note: D0_{a}, \beta-TiCu₃.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A3B_oP8_59_ae_b-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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