Crystal Lab › Prototype structures › Hexagonal
Swedenborgite (NaBe₄SbO₇, E9₂)
Hexagonal · space group P63mc (No. 186) · Pearson hP26 · Strukturbericht E92 · mineral: swedenborgite
Symmetry elements and Wyckoff positions (interactive)
Swedenborgite (NaBe₄SbO₇, E9₂) in P63mc
SettingUnit cell
- Lattice constants
- a = 5.432 Å, b = 5.432 Å, c = 8.857 Å; α = 90.00°, β = 90.00°, γ = 120.00°
- Cell volume
- 226.3 ų
- Atoms in the conventional cell
- 26 (Be 8, O 14, Na 2, Sb 2)
- Formula units Z
- 2
- Pearson symbol
- hP26 — hexagonal / trigonal, primitive lattice, 26 atoms per conventional cell
- Symmetry operations
- 12 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Be1 | Be | 2a | 2 | 0.0000 | 1.0000 | 0.0629 |
| O4 | O | 2a | 2 | 0.0000 | 1.0000 | 0.3728 |
| Na3 | Na | 2b | 2 | 0.3333 | 0.6667 | 0.6245 |
| Sb7 | Sb | 2b | 2 | 0.3333 | 0.6667 | 0.0000 |
| Be2 | Be | 6c | 6 | 0.1664 | 0.8336 | 0.3126 |
| O5 | O | 6c | 6 | 0.4961 | 0.5039 | 0.3706 |
| O6 | O | 6c | 6 | 0.1616 | 0.8384 | 0.1269 |
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 26 atoms drawn above are these sites multiplied by all 12 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
A4BC7D_hP26_186_ac_b_a2c_b-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hP26, then the space-group number 186, then the Wyckoff letters occupied by each element in turn (Be: 2a; O: 2a; Na: 2b; Sb: 2b; Be: 6c; O: 6c; O: 6c). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Other compounds with this structure
CaBa(Fe₂Mn₂)O₇, CaBaCo₃AlO₇, CaBaCo₃FeO₇, CaBaCo₃ZnO₇, CaBaCo₄O₇, CaBaFe₄O₇, Er₂Si₄N₆C, Ho₂Si₄N₆C, Tb₂Si₄N₆C, Y₂Si₄N₆C, YBaCo₃AlO₇, YBaCo₃FeO₇, YBaCo₄O₇, YBaMn₃AlO₇, Yb₂Si₄N₆C, YbBaSi₄N₇ <!--beginning with an
Note: E9₂, Swedenborgite.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A4BC7D_hP26_186_ac_b_a2c_b-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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