Crystal Lab › Prototype structures › Trigonal
Mn₂La₃Sb₃O₁₄
Trigonal · space group R-3m (No. 166) · Pearson hR22
Symmetry elements and Wyckoff positions (interactive)
Mn₂La₃Sb₃O₁₄ in R-3m
SettingUnit 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
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Mn2 | Mn | 3a | 3 | 0.0000 | 0.0000 | 0.0000 |
| Mn3 | Mn | 3b | 3 | 0.0000 | 0.0000 | 0.5000 |
| O4 | O | 6c | 6 | 0.0000 | 0.0000 | 0.3867 |
| La1 | La | 9d | 9 | 0.5000 | 0.0000 | 0.5000 |
| Sb7 | Sb | 9e | 9 | 0.5000 | 0.0000 | 0.0000 |
| O5 | O | 18h | 18 | 0.2003 | 0.7997 | 0.4835 |
| O6 | O | 18h | 18 | 0.8096 | 0.1904 | 0.2782 |
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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