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Crystal Lab › Prototype structures › Monoclinic

Ta₅Ti₁₁ (BCC SQS-16)

Monoclinic · space group P1m1 (No. 6) · Pearson mP16

Symmetry elements and Wyckoff positions (interactive)

Ta₅Ti₁₁ (BCC SQS-16) in P1m1

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

Unit cell

Lattice constants
a = 6.542 Å, b = 6.542 Å, c = 6.542 Å; α = 90.00°, β = 90.00°, γ = 90.00°
Cell volume
280.0 ų
Atoms in the conventional cell
16 (Ta 5, Ti 11)
Formula units Z
1
Pearson symbol
mP16 — monoclinic, primitive lattice, 16 atoms per conventional cell
Symmetry operations
2 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Ta1Ta1a10.00000.00000.5000
Ta2Ta1a10.50000.00000.5000
Ti5Ti1a10.00000.00000.0000
Ti6Ti1a10.50000.00000.0000
Ta3Ta1b10.50000.50000.0000
Ti7Ti1b10.00000.50000.0000
Ti8Ti1b10.00000.50000.5000
Ti9Ti1b10.50000.50000.5000
Ta4Ta2c20.75000.25000.2500
Ti10Ti2c20.75000.25000.7500
Ti11Ti2c20.25000.25000.7500
Ti12Ti2c20.25000.25000.2500

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 16 atoms drawn above are these sites multiplied by all 2 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

A5B11_mP16_6_2abc_2a3b3c-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol mP16, then the space-group number 6, then the Wyckoff letters occupied by each element in turn (Ta: 1a; Ta: 1a; Ti: 1a; Ti: 1a; Ta: 1b; Ti: 1b; Ti: 1b; Ti: 1b; Ta: 2c; Ti: 2c; Ti: 2c; Ti: 2c). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Note: BCC SQS-16.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A5B11_mP16_6_2abc_2a3b3c-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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