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Intermediate Temperature Tetragonal TlS STl

Tetragonal · space group P41212 (No. 92) · Pearson tP64

Symmetry elements and Wyckoff positions (interactive)

Intermediate Temperature Tetragonal TlS in P41212

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

Unit cell

Lattice constants
a = 7.803 Å, b = 7.803 Å, c = 29.550 Å; α = 90.00°, β = 90.00°, γ = 90.00°
Cell volume
1799.2 ų
Atoms in the conventional cell
64 (S 32, Tl 32)
Formula units Z
32
Pearson symbol
tP64 — tetragonal, primitive lattice, 64 atoms per conventional cell
Symmetry operations
8 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
S1S4a40.64100.64100.0000
S2S4a40.11200.11200.0000
S3S8b80.12200.63700.0058
S4S8b80.37700.33200.1011
S5S8b80.87100.32000.1006
Tl6Tl8b80.62170.36990.4760
Tl7Tl8b80.12730.37350.0518
Tl8Tl8b80.87080.90140.0665
Tl9Tl8b80.37740.90210.0648

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 64 atoms drawn above are these sites multiplied by all 8 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_tP64_92_2a3b_4b-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol tP64, then the space-group number 92, then the Wyckoff letters occupied by each element in turn (S: 4a; S: 4a; S: 8b; S: 8b; S: 8b; Tl: 8b; Tl: 8b; Tl: 8b; Tl: 8b). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Note: Tetragonal TlS (IT).

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry AB_tP64_92_2a3b_4b-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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