Crystal Lab › Prototype structures › Trigonal
Belomarinaite (KNaSO₄)
Trigonal · space group P3m1 (No. 156) · Pearson hP14 · mineral: belomarinaite
Symmetry elements and Wyckoff positions (interactive)
Belomarinaite (KNaSO₄) in P3m1
SettingUnit cell
- Lattice constants
- a = 5.607 Å, b = 5.607 Å, c = 7.177 Å; α = 90.00°, β = 90.00°, γ = 120.00°
- Cell volume
- 195.4 ų
- Atoms in the conventional cell
- 14 (K 2, O 8, S 2, Na 2)
- Formula units Z
- 2
- Pearson symbol
- hP14 — hexagonal / trigonal, primitive lattice, 14 atoms per conventional cell
- Symmetry operations
- 6 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| K1 | K | 1a | 1 | 0.0000 | 0.0000 | 0.0000 |
| O5 | O | 1a | 1 | 0.0000 | 0.0000 | 0.6460 |
| S9 | S | 1a | 1 | 0.0000 | 0.0000 | 0.4550 |
| Na3 | Na | 1b | 1 | 0.3333 | 0.6667 | 0.3800 |
| O6 | O | 1b | 1 | 0.3333 | 0.6667 | 0.7170 |
| S10 | S | 1b | 1 | 0.3333 | 0.6667 | 0.9250 |
| K2 | K | 1c | 1 | 0.6667 | 0.3333 | 0.6910 |
| Na4 | Na | 1c | 1 | 0.6667 | 0.3333 | 0.1950 |
| O7 | O | 3d | 3 | 0.8537 | 0.1463 | 0.4010 |
| O8 | O | 3d | 3 | 0.4697 | 0.5303 | 0.0050 |
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 6 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
ABC4D_hP14_156_ac_bc_ab2d_ab-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 156, then the Wyckoff letters occupied by each element in turn (K: 1a; O: 1a; S: 1a; Na: 1b; O: 1b; S: 1b; K: 1c; Na: 1c; O: 3d; O: 3d). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Note: Belomarinaite.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry ABC4D_hP14_156_ac_bc_ab2d_ab-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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