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Crystal Lab › Prototype structures › Monoclinic

NaSi

Monoclinic · space group C12/c1 (No. 15) · Pearson mC32

Symmetry elements and Wyckoff positions (interactive)

NaSi in C12/c1

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

Unit cell

Lattice constants
a = 19.603 Å, b = 6.550 Å, c = 11.893 Å; α = 90.00°, β = 149.25°, γ = 90.00°
Cell volume
780.7 ų
Atoms in the conventional cell
32 (Na 16, Si 16)
Formula units Z
16
Pearson symbol
mC32 — monoclinic, base-centred lattice, 32 atoms per conventional cell
Symmetry operations
8 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Na1Na8f80.74300.41200.3440
Na2Na8f80.92700.65000.8090
Si3Si8f80.87600.96000.5660
Si4Si8f80.99000.21300.8370

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 32 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_mC32_15_2f_2f-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol mC32, then the space-group number 15, then the Wyckoff letters occupied by each element in turn (Na: 8f; Na: 8f; Si: 8f; Si: 8f). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry AB_mC32_15_2f_2f-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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