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Crystal Lab › Prototype structures › Orthorhombic

GdSn₃

Orthorhombic · space group Amm2 (No. 38) · Pearson oC16

Symmetry elements and Wyckoff positions (interactive)

GdSn₃ in Amm2

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

Unit cell

Lattice constants
a = 4.359 Å, b = 4.406 Å, c = 22.058 Å; α = 90.00°, β = 90.00°, γ = 90.00°
Cell volume
423.6 ų
Atoms in the conventional cell
16 (Gd 4, Sn 12)
Formula units Z
4
Pearson symbol
oC16 — orthorhombic, base-centred lattice, 16 atoms per conventional cell
Symmetry operations
8 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Gd1Gd2a20.00000.00000.2150
Sn3Sn2a20.00000.00000.0000
Sn4Sn2a20.00000.00000.3650
Sn5Sn2a20.00000.00000.6150
Gd2Gd2b20.50000.00000.4600
Sn6Sn2b20.50000.00000.0920
Sn7Sn2b20.50000.00000.7250
Sn8Sn2b20.50000.00000.8540

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 16 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

AB3_oC16_38_ab_3a3b-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol oC16, then the space-group number 38, then the Wyckoff letters occupied by each element in turn (Gd: 2a; Sn: 2a; Sn: 2a; Sn: 2a; Gd: 2b; Sn: 2b; Sn: 2b; Sn: 2b). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Other compounds with this structure

DySn₃, HoSn₃, ReSn₃, TbSn₃, TmSn₃, YSn₃ <!--beginning with an

Note: LT.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry AB3_oC16_38_ab_3a3b-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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