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Coesite (SiO₂)

Monoclinic · space group C12/c1 (No. 15) · Pearson mC48 · mineral: coesite

Symmetry elements and Wyckoff positions (interactive)

Coesite (SiO₂) in C12/c1

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

Unit cell

Lattice constants
a = 7.136 Å, b = 12.369 Å, c = 7.118 Å; α = 90.00°, β = 119.56°, γ = 90.00°
Cell volume
546.4 ų
Atoms in the conventional cell
48 (O 32, Si 16)
Formula units Z
16
Pearson symbol
mC48 — monoclinic, base-centred lattice, 48 atoms per conventional cell
Symmetry operations
8 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
O1O4a40.00000.00000.0000
O2O4e40.00000.61630.2500
O3O8f80.23400.62340.0599
O4O8f80.18860.60380.6718
O5O8f80.48280.71170.5218
Si6Si8f80.35970.60830.9277
Si7Si8f80.99320.65800.4592

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 48 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

A2B_mC48_15_ae3f_2f-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol mC48, then the space-group number 15, then the Wyckoff letters occupied by each element in turn (O: 4a; O: 4e; O: 8f; O: 8f; O: 8f; Si: 8f; Si: 8f). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Note: Coesite.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A2B_mC48_15_ae3f_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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