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Crystal Lab › Prototype structures › Hexagonal

Hexagonal Ti₆Sn₅ Sn₅Ti₆

Hexagonal · space group P63/mmc (No. 194) · Pearson hP22

Symmetry elements and Wyckoff positions (interactive)

Hexagonal Ti₆Sn₅ in P63/mmc

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

Unit cell

Lattice constants
a = 9.220 Å, b = 9.220 Å, c = 5.690 Å; α = 90.00°, β = 90.00°, γ = 120.00°
Cell volume
418.9 ų
Atoms in the conventional cell
22 (Sn 10, Ti 12)
Formula units Z
2
Pearson symbol
hP22 — hexagonal / trigonal, primitive lattice, 22 atoms per conventional cell
Symmetry operations
24 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Sn1Sn2a20.00000.00000.0000
Sn2Sn2c20.33330.66670.2500
Ti4Ti6g60.50000.00000.0000
Sn3Sn6h60.79500.59000.2500
Ti5Ti6h60.16500.33000.2500

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 22 atoms drawn above are these sites multiplied by all 24 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

A5B6_hP22_194_ach_gh-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hP22, then the space-group number 194, then the Wyckoff letters occupied by each element in turn (Sn: 2a; Sn: 2c; Ti: 6g; Sn: 6h; Ti: 6h). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Other compounds with this structure

V₆Ga₅ <!--beginning with an

Note: Hexagonal.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A5B6_hP22_194_ach_gh-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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