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Crystal Lab › Prototype structures › Monoclinic

TaTi₃-II (BCC SQS-16)

Monoclinic · space group C1m1 (No. 8) · Pearson mC32

Symmetry elements and Wyckoff positions (interactive)

TaTi₃-II (BCC SQS-16) in C1m1

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

Unit cell

Lattice constants
a = 9.252 Å, b = 9.252 Å, c = 6.542 Å; α = 90.00°, β = 90.00°, γ = 90.00°
Cell volume
560.0 ų
Atoms in the conventional cell
32 (Ta 8, Ti 24)
Formula units Z
8
Pearson symbol
mC32 — monoclinic, base-centred lattice, 32 atoms per conventional cell
Symmetry operations
4 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Ta1Ta2a20.00000.00000.0000
Ta2Ta2a20.00000.00000.5000
Ta3Ta2a20.75000.00000.7500
Ta4Ta2a20.50000.00000.5000
Ti5Ti2a20.75000.00000.2500
Ti6Ti2a20.50000.00000.0000
Ti7Ti2a20.25000.00000.2500
Ti8Ti2a20.25000.00000.7500
Ti10Ti4b40.75000.75000.5000
Ti11Ti4b40.50000.75000.2500
Ti12Ti4b40.50000.75000.7500
Ti9Ti4b40.75000.75000.0000

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 32 atoms drawn above are these sites multiplied by all 4 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

AB3_mC32_8_4a_4a4b-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol mC32, then the space-group number 8, then the Wyckoff letters occupied by each element in turn (Ta: 2a; Ta: 2a; Ta: 2a; Ta: 2a; Ti: 2a; Ti: 2a; Ti: 2a; Ti: 2a; Ti: 4b; Ti: 4b; Ti: 4b; Ti: 4b). 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 AB3_mC32_8_4a_4a4b-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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