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Crystal Lab › Prototype structures › Triclinic

TaTi (BCC SQS-16)

Triclinic · space group P-1 (No. 2) · Pearson aP16

Symmetry elements and Wyckoff positions (interactive)

TaTi (BCC SQS-16) in P-1

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

Unit cell

Lattice constants
a = 5.424 Å, b = 5.666 Å, c = 9.676 Å; α = 72.98°, β = 87.08°, γ = 79.97°
Cell volume
280.0 ų
Atoms in the conventional cell
16 (Ta 8, Ti 8)
Formula units Z
8
Pearson symbol
aP16 — triclinic, primitive lattice, 16 atoms per conventional cell
Symmetry operations
2 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Ta1Ta2i20.37500.75000.3750
Ta2Ta2i20.87500.00000.3750
Ta3Ta2i20.37500.50000.8750
Ta4Ta2i20.62500.75000.6250
Ti5Ti2i20.87500.50000.3750
Ti6Ti2i20.12500.75000.1250
Ti7Ti2i20.87500.75000.8750
Ti8Ti2i20.37500.00000.8750

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

AB_aP16_2_4i_4i-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol aP16, then the space-group number 2, then the Wyckoff letters occupied by each element in turn (Ta: 2i; Ta: 2i; Ta: 2i; Ta: 2i; Ti: 2i; Ti: 2i; Ti: 2i; Ti: 2i). 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 AB_aP16_2_4i_4i-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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