Skip to content

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

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

Unit 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

SiteElementWyckoffMultiplicityxyz
K1K1a10.00000.00000.0000
Na3Na1b10.00000.00000.5000
K2K2d20.33330.66670.3169
O4O2d20.33330.66670.9684
S6S2d20.33330.66670.7662
O5O6i60.80730.19270.3018

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.

← Ba₃SrTa₂O₉  ·  Space group P-3m1 (34 prototypes)  ·  All prototypes  ·  MnBi₄Te₇ →