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Fluorite (CaF₂, C1)

Cubic · space group Fm-3m (No. 225) · Pearson cF12 · Strukturbericht C1 · mineral: fluorite

Symmetry elements and Wyckoff positions (interactive)

Fluorite (CaF₂, C1) in Fm-3m

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

Unit cell

Lattice constants
a = 5.463 Å, b = 5.463 Å, c = 5.463 Å; α = 90.00°, β = 90.00°, γ = 90.00°
Cell volume
163.0 ų
Atoms in the conventional cell
12 (Ca 4, F 8)
Formula units Z
4
Pearson symbol
cF12 — cubic, face-centred lattice, 12 atoms per conventional cell
Symmetry operations
192 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Ca1Ca4a40.00000.00000.0000
F2F8c80.25000.25000.2500

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 12 atoms drawn above are these sites multiplied by all 192 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

AB2_cF12_225_a_c-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol cF12, then the space-group number 225, then the Wyckoff letters occupied by each element in turn (Ca: 4a; F: 8c). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Other compounds with this structure

AmO₂, AuAl₂, AuGa₂, AuIn₂, BBe₂, BaF₂, CO₂, CdF₂, CeH₂, CeO₂, CmO₂, CoSi₂, DyH₂, EuF₂, GdH₂, GeMg₂, HgF₂, IrSn₂, LaH₂, LuH₂, MgPu₂, NbH₂, NdH₂, NiSi₂, OK₂, OLi₂, ONa₂, ORb₂, PIr₂, PRh₂, PaO₂, PbMg₂, PoO₂, PrH₂, PrO₂, PtAl₂, PtGa₂, PtSn₂, PuH₂, PuO₂, RbO₂, RbS₂, SCu₂, SH₂, SK₂, SLi₂, SRb₂, ScH₂, SeH₂, SeK₂, SeLi₂, SiMg₂, SmH₂, SmO₂, β-SrBr₂, SrCl₂, SrF₂, SrMg₂, TbH₂, TbO₂, TeK₂, TeLi₂, ThH₂, ThO₂, TmH₂, UC₂, UN₂, UO₂, YH₂, ZrO₂ <!--beginning with an

Note: C1, Fluorite.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry AB2_cF12_225_a_c-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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