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γ-Na₂Ti₃Cl₈ Cl₈Na₂Ti₃

Trigonal · space group R3m (No. 160) · Pearson hR13

Symmetry elements and Wyckoff positions (interactive)

γ-Na₂Ti₃Cl₈ in R3m

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

Unit cell

Lattice constants
a = 6.974 Å, b = 6.974 Å, c = 20.185 Å; α = 90.00°, β = 90.00°, γ = 120.00°
Cell volume
850.2 ų
Atoms in the conventional cell
39 (Cl 24, Na 6, Ti 9)
Formula units Z
3
Pearson symbol
hR13 — hexagonal / trigonal, rhombohedral lattice, 13 atoms per conventional cell
Symmetry operations
18 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Cl1Cl3a30.00000.00000.5824
Cl2Cl3a30.00000.00000.3959
Na5Na3a30.00000.00000.8400
Na6Na3a30.00000.00000.1703
Cl3Cl9b90.83040.16960.0731
Cl4Cl9b90.83640.16360.2609
Ti7Ti9b90.51990.48010.0000

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 39 atoms drawn above are these sites multiplied by all 18 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

A8B2C3_hR13_160_2a2b_2a_b-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hR13, then the space-group number 160, then the Wyckoff letters occupied by each element in turn (Cl: 3a; Cl: 3a; Na: 3a; Na: 3a; Cl: 9b; Cl: 9b; Ti: 9b). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Note: \gamma-Na₂Ti₃Cl₈.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A8B2C3_hR13_160_2a2b_2a_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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