Crystal Lab › Prototype structures › Trigonal
Aphthitalite/Glaserite [K₃Na(SO₄)₂]
Trigonal · space group P-3m1 (No. 164) · Pearson hP14 · mineral: aphthitalite / glaserite
Symmetry elements and Wyckoff positions (interactive)
Aphthitalite/Glaserite [K₃Na(SO₄)₂] in P-3m1
SettingUnit cell
- Lattice constants
- a = 5.680 Å, b = 5.680 Å, c = 7.309 Å; α = 90.00°, β = 90.00°, γ = 120.00°
- Cell volume
- 204.2 ų
- Atoms in the conventional cell
- 14 (K 3, Na 1, O 8, S 2)
- Formula units Z
- 1
- Pearson symbol
- hP14 — hexagonal / trigonal, primitive lattice, 14 atoms per conventional cell
- Symmetry operations
- 12 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| K1 | K | 1a | 1 | 0.0000 | 0.0000 | 0.0000 |
| Na3 | Na | 1b | 1 | 0.0000 | 0.0000 | 0.5000 |
| K2 | K | 2d | 2 | 0.3333 | 0.6667 | 0.3169 |
| O4 | O | 2d | 2 | 0.3333 | 0.6667 | 0.9684 |
| S6 | S | 2d | 2 | 0.3333 | 0.6667 | 0.7662 |
| O5 | O | 6i | 6 | 0.8073 | 0.1927 | 0.3018 |
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 14 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
A3BC8D2_hP14_164_ad_b_di_d-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hP14, then the space-group number 164, then the Wyckoff letters occupied by each element in turn (K: 1a; Na: 1b; K: 2d; O: 2d; S: 2d; O: 6i). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Other compounds with this structure
Ba₃Mg(SiO₄)₂, Ba₃Mn(SiO₄)₂, Cs₃Na(MoO₄)₂, K₃Dy(VO₄)₂, K₃Er(VO₄)₂, K₃Ho(VO₄)₂, K₃Lu(VO₄)₂, K₃Na(CrO₄)₂, K₃Na(FeO₄)₂, K₃Na(RuO₄)₂, K₃Na(SO₄)₂, K₃Na(SeO₄)₂, K₃Sc(VO₄)₂, K₃Tm(VO₄)₂, K₃V(VO₄)₂, K₃Y(VO₄)₂, K₃Yb(VO₄)₂, Rb₃Ag(MoO₄)₂, Rb₃Ho(VO₄)₂, Rb₃Lu(VO₄)₂, Rb₃Na(MoO₄)₂, Rb₃Na(RuO₄)₂, Rb₃Na(WO₄)₂, Rb₃Y(VO₄)₂, Rb₃Yb(PO₄)₂, Rb₃Yb(VO₄)₂ <!--beginning with an
Note: Aphthitalite/Glaserite.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A3BC8D2_hP14_164_ad_b_di_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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