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Crystal Lab › Prototype structures › Tetragonal

Ce₃Si₆N₁₁

Tetragonal · space group P4bm (No. 100) · Pearson tP40

Symmetry elements and Wyckoff positions (interactive)

Ce₃Si₆N₁₁ in P4bm

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

Unit cell

Lattice constants
a = 10.131 Å, b = 10.131 Å, c = 4.847 Å; α = 90.00°, β = 90.00°, γ = 90.00°
Cell volume
497.5 ų
Atoms in the conventional cell
40 (Ce 6, N 22, Si 12)
Formula units Z
2
Pearson symbol
tP40 — tetragonal, primitive lattice, 40 atoms per conventional cell
Symmetry operations
8 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Ce1Ce2a20.00000.00000.0000
N3N2b20.50000.00000.0672
Ce2Ce4c40.18110.68110.0154
N4N4c40.65360.15360.6912
Si7Si4c40.61740.11740.0432
N5N8d80.58140.67800.6402
N6N8d80.72880.57400.1742
Si8Si8d80.70980.57820.5334

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 40 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

A3B11C6_tP40_100_ac_bc2d_cd-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol tP40, then the space-group number 100, then the Wyckoff letters occupied by each element in turn (Ce: 2a; N: 2b; Ce: 4c; N: 4c; Si: 4c; N: 8d; N: 8d; Si: 8d). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Other compounds with this structure

La₃Si₆N₁₁, Nd₃Si₆N₁₁, Pr₃Si₆N₁₁, Sm₃Si₆N₁₁ <!--beginning with an

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A3B11C6_tP40_100_ac_bc2d_cd-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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