Crystal Lab › Prototype structures › Cubic
Hauyne [(Na_{0.5}Ca_{0.3}K_{0.2})₈(Al₆Si₆O₂₄)(SO₄)_{1.5}, S6₉]
Cubic · space group P-43n (No. 218) · Pearson cP76 · Strukturbericht S69 · mineral: hauyne
Symmetry elements and Wyckoff positions (interactive)
Hauyne [(Na_{0.5}Ca_{0.3}K_{0.2})₈(Al₆Si₆O₂₄)(SO₄)_{1.5}, S6₉] in P-43n
SettingUnit cell
- Lattice constants
- a = 9.110 Å, b = 9.110 Å, c = 9.110 Å; α = 90.00°, β = 90.00°, γ = 90.00°
- Cell volume
- 756.0 ų
- Atoms in the conventional cell
- 76 (Al 6, Si 6, Ca 8, K 8, Na 8, O 32, S 8)
- Formula units Z
- 2
- Pearson symbol
- cP76 — cubic, primitive lattice, 76 atoms per conventional cell
- Symmetry operations
- 24 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Al1 | Al | 6c | 6 | 0.2500 | 0.5000 | 0.0000 |
| Si8 | Si | 6d | 6 | 0.2500 | 0.0000 | 0.5000 |
| Ca2 | Ca | 8e | 8 | 0.2009 | 0.2009 | 0.2009 |
| K3 | K | 8e | 8 | 0.1640 | 0.1640 | 0.1640 |
| Na4 | Na | 8e | 8 | 0.2392 | 0.2392 | 0.2392 |
| O5 | O | 8e | 8 | 0.0995 | 0.0995 | 0.0995 |
| S7 | S | 8e | 8 | 0.9669 | 0.9669 | 0.9669 |
| O6 | O | 24i | 24 | 0.6443 | 0.6558 | 0.9669 |
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 76 atoms drawn above are these sites multiplied by all 24 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
A3B4C4D4E16F4G3_cP76_218_c_e_e_e_ei_e_d-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol cP76, then the space-group number 218, then the Wyckoff letters occupied by each element in turn (Al: 6c; Si: 6d; Ca: 8e; K: 8e; Na: 8e; O: 8e; S: 8e; O: 24i). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Note: S6₉, Hauyne.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A3B4C4D4E16F4G3_cP76_218_c_e_e_e_ei_e_d-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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