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Crystal Lab › Prototype structures › Orthorhombic

CsV₈Sb₁₂

Orthorhombic · space group Fmmm (No. 69) · Pearson oF84

Symmetry elements and Wyckoff positions (interactive)

CsV₈Sb₁₂ in Fmmm

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

Unit cell

Lattice constants
a = 36.227 Å, b = 5.556 Å, c = 9.523 Å; α = 90.00°, β = 90.00°, γ = 90.00°
Cell volume
1916.8 ų
Atoms in the conventional cell
84 (Cs 4, V 32, Sb 48)
Formula units Z
4
Pearson symbol
oF84 — orthorhombic, face-centred lattice, 84 atoms per conventional cell
Symmetry operations
32 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Cs1Cs4a40.00000.00000.0000
V6V8f80.25000.25000.2500
Sb2Sb8g80.86250.00000.0000
Sb3Sb8g80.22240.00000.0000
V7V8g80.37350.00000.0000
V8V16l160.87340.25000.2500
Sb4Sb16n160.43450.00000.1672
Sb5Sb16n160.31150.00000.8385

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 84 atoms drawn above are these sites multiplied by all 32 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

AB12C8_oF84_69_a_2g2n_fgl-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol oF84, then the space-group number 69, then the Wyckoff letters occupied by each element in turn (Cs: 4a; V: 8f; Sb: 8g; Sb: 8g; V: 8g; V: 16l; Sb: 16n; Sb: 16n). 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 AB12C8_oF84_69_a_2g2n_fgl-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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