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Crystal Lab › Prototype structures › Monoclinic

TaTi₃-I (BCC SQS-16)

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

Symmetry elements and Wyckoff positions (interactive)

TaTi₃-I (BCC SQS-16) in C1m1

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

Unit cell

Lattice constants
a = 13.878 Å, b = 4.626 Å, c = 9.252 Å; α = 90.00°, β = 109.47°, 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
Ta1Ta2a20.00000.00000.5000
Ta2Ta2a20.50000.00000.2500
Ta3Ta2a20.62500.00000.0625
Ta4Ta2a20.87500.00000.1875
Ti10Ti2a20.50000.00000.7500
Ti11Ti2a20.37500.00000.4375
Ti12Ti2a20.25000.00000.1250
Ti13Ti2a20.75000.00000.8750
Ti14Ti2a20.62500.00000.5625
Ti15Ti2a20.87500.00000.6875
Ti16Ti2a20.75000.00000.3750
Ti5Ti2a20.12500.00000.8125
Ti6Ti2a20.37500.00000.9375
Ti7Ti2a20.25000.00000.6250
Ti8Ti2a20.12500.00000.3125
Ti9Ti2a20.00000.00000.0000

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_12a-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: 2a; Ti: 2a; Ti: 2a; Ti: 2a; Ti: 2a; Ti: 2a; Ti: 2a; Ti: 2a). 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_12a-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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