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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

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

Unit 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

SiteElementWyckoffMultiplicityxyz
Be1Be2a20.00001.00000.0629
O4O2a20.00001.00000.3728
Na3Na2b20.33330.66670.6245
Sb7Sb2b20.33330.66670.0000
Be2Be6c60.16640.83360.3126
O5O6c60.49610.50390.3706
O6O6c60.16160.83840.1269

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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