Crystal Lab › Prototype structures › Cubic
Tychite (Na₆Mg₂SO₄(CO₃)₄)
Cubic · space group Fd-3 (No. 203) · Pearson cF232 · mineral: tychite
Symmetry elements and Wyckoff positions (interactive)
Tychite (Na₆Mg₂SO₄(CO₃)₄) in Fd-3
SettingUnit cell
- Lattice constants
- a = 13.904 Å, b = 13.904 Å, c = 13.904 Å; α = 90.00°, β = 90.00°, γ = 90.00°
- Cell volume
- 2687.8 ų
- Atoms in the conventional cell
- 232 (S 8, Mg 16, C 32, O 128, Na 48)
- Formula units Z
- 8
- Pearson symbol
- cF232 — cubic, face-centred lattice, 232 atoms per conventional cell
- Symmetry operations
- 96 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| S6 | S | 8b | 8 | 0.6250 | 0.6250 | 0.6250 |
| Mg2 | Mg | 16c | 16 | 0.0000 | 0.0000 | 0.0000 |
| C1 | C | 32e | 32 | 0.7821 | 0.7821 | 0.7821 |
| O4 | O | 32e | 32 | 0.5636 | 0.5636 | 0.5636 |
| Na3 | Na | 48f | 48 | 0.8438 | 0.1250 | 0.1250 |
| O5 | O | 96g | 96 | 0.7663 | 0.7253 | 0.8533 |
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 232 atoms drawn above are these sites multiplied by all 96 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
A4B2C6D16E_cF232_203_e_c_f_eg_b-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol cF232, then the space-group number 203, then the Wyckoff letters occupied by each element in turn (S: 8b; Mg: 16c; C: 32e; O: 32e; Na: 48f; O: 96g). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Note: Tychite.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A4B2C6D16E_cF232_203_e_c_f_eg_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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