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C (T12 Group IV)

Tetragonal · space group P42/ncm (No. 138) · Pearson tP12

Symmetry elements and Wyckoff positions (interactive)

C (T12 Group IV) in P42/ncm

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

Unit cell

Lattice constants
a = 3.388 Å, b = 3.388 Å, c = 6.011 Å; α = 90.00°, β = 90.00°, γ = 90.00°
Cell volume
69.0 ų
Atoms in the conventional cell
12 (C 12)
Formula units Z
12
Pearson symbol
tP12 — tetragonal, primitive lattice, 12 atoms per conventional cell
Symmetry operations
16 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
C1C4b40.75000.25000.7500
C2C8i80.08600.08600.1070

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 12 atoms drawn above are these sites multiplied by all 16 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

A_tP12_138_bi-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol tP12, then the space-group number 138, then the Wyckoff letters occupied by each element in turn (C: 4b; C: 8i). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Other compounds with this structure

Ge, Si <!--beginning with an

Note: T12, Theory.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A_tP12_138_bi-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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