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Crystal Lab › Prototype structures › Monoclinic

α-LiSn

Monoclinic · space group P12/m1 (No. 10) · Pearson mP6

Symmetry elements and Wyckoff positions (interactive)

α-LiSn in P12/m1

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

Unit cell

Lattice constants
a = 8.161 Å, b = 3.180 Å, c = 5.170 Å; α = 90.00°, β = 113.33°, γ = 90.00°
Cell volume
123.2 ų
Atoms in the conventional cell
6 (Li 3, Sn 3)
Formula units Z
3
Pearson symbol
mP6 — monoclinic, primitive lattice, 6 atoms per conventional cell
Symmetry operations
4 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Li1Li1b10.00000.50000.0000
Sn3Sn1c10.00000.00000.5000
Sn4Sn2m20.34000.00000.0740
Li2Li2n20.66400.50000.4270

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 6 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

AB_mP6_10_bn_cm-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol mP6, then the space-group number 10, then the Wyckoff letters occupied by each element in turn (Li: 1b; Sn: 1c; Sn: 2m; Li: 2n). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Note: α-LiSn.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry AB_mP6_10_bn_cm-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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