Skip to content

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

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

Unit 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

SiteElementWyckoffMultiplicityxyz
K1K1a10.00000.00000.0000
O5O1a10.00000.00000.6460
S9S1a10.00000.00000.4550
Na3Na1b10.33330.66670.3800
O6O1b10.33330.66670.7170
S10S1b10.33330.66670.9250
K2K1c10.66670.33330.6910
Na4Na1c10.66670.33330.1950
O7O3d30.85370.14630.4010
O8O3d30.46970.53030.0050

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.

← CdI₂ (Polytype 6H₁)  ·  Space group P3m1 (5 prototypes)  ·  All prototypes  ·  BiTeI →