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Mn₂La₃Sb₃O₁₄

Trigonal · space group R-3m (No. 166) · Pearson hR22

Symmetry elements and Wyckoff positions (interactive)

Mn₂La₃Sb₃O₁₄ in R-3m

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

Unit cell

Lattice constants
a = 7.549 Å, b = 7.549 Å, c = 17.798 Å; α = 90.00°, β = 90.00°, γ = 120.00°
Cell volume
878.3 ų
Atoms in the conventional cell
66 (Mn 6, O 42, La 9, Sb 9)
Formula units Z
3
Pearson symbol
hR22 — hexagonal / trigonal, rhombohedral lattice, 22 atoms per conventional cell
Symmetry operations
36 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Mn2Mn3a30.00000.00000.0000
Mn3Mn3b30.00000.00000.5000
O4O6c60.00000.00000.3867
La1La9d90.50000.00000.5000
Sb7Sb9e90.50000.00000.0000
O5O18h180.20030.79970.4835
O6O18h180.80960.19040.2782

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 66 atoms drawn above are these sites multiplied by all 36 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

A3B2C14D3_hR22_166_d_ab_c2h_e-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hR22, then the space-group number 166, then the Wyckoff letters occupied by each element in turn (Mn: 3a; Mn: 3b; O: 6c; La: 9d; Sb: 9e; O: 18h; O: 18h). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Other compounds with this structure

Mg₂Dy₃Sb₃O₁₄, Mg₂Er₃Sb₃O₁₄, Mg₂Gd₃Sb₃O₁₄, Mg₂Ho₃Sb₃O₁₄, Mg₂Nd₃Sb₃O₁₄, Mg₂Pr₃Sb₃O₁₄, Mg₂Tb₃Sb₃O₁₄, Mg₂Tm₃Sb₃O₁₄, Mg₂Yb₃Sb₃O₁₄, Mn₂Pr₃Sb₃O₁₄, Mn₂Nd₃Sb₃O₁₄, Zn₂Dy₃Sb₃O₁₄, Zn₂Er₃Sb₃O₁₄, Zn₂Gd₃Sb₃O₁₄, Zn₂Ho₃Sb₃O₁₄, Zn₂Nd₃Sb₃O₁₄, Zn₂Pr₃Sb₃O₁₄, Zn₂Tb₃Sb₃O₁₄, Zn₂Tm₃Sb₃O₁₄, Zn₂Yb₃Sb₃O₁₄ <!--beginning with an

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A3B2C14D3_hR22_166_d_ab_c2h_e-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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