Crystal Lab › Prototype structures › Trigonal
KAl(MoO₄)₂: ABC2D8_hP12_164_a_b_d_di-001
Trigonal · space group P-3m1 (No. 164) · Pearson hP12
Symmetry elements and Wyckoff positions (interactive)
KAl(MoO₄)₂: ABC2D8_hP12_164_a_b_d_di-001 in P-3m1
SettingUnit cell
- Lattice constants
- a = 5.545 Å, b = 5.545 Å, c = 7.070 Å; α = 90.00°, β = 90.00°, γ = 120.00°
- Cell volume
- 188.3 ų
- Atoms in the conventional cell
- 12 (Al 1, K 1, Mo 2, O 8)
- Formula units Z
- 1
- Pearson symbol
- hP12 — hexagonal / trigonal, primitive lattice, 12 atoms per conventional cell
- Symmetry operations
- 12 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Al1 | Al | 1a | 1 | 0.0000 | 0.0000 | 0.0000 |
| K2 | K | 1b | 1 | 0.0000 | 0.0000 | 0.5000 |
| Mo3 | Mo | 2d | 2 | 0.3333 | 0.6667 | 0.2349 |
| O4 | O | 2d | 2 | 0.3333 | 0.6667 | 0.4645 |
| O5 | O | 6i | 6 | 0.1550 | 0.3100 | 0.1561 |
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 12 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
ABC2D8_hP12_164_a_b_d_di-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hP12, then the space-group number 164, then the Wyckoff letters occupied by each element in turn (Al: 1a; K: 1b; Mo: 2d; O: 2d; O: 6i). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Other compounds with this structure
BaFe(MgD₄)₂, BaZr(PO₄)₂, Cd₂(MoO₄)₂, CsAl(MoO₄)₂, CsCr(MoO₄)₂, CsFe(MoO₄)₂, CsV(MoO₄)₂, KFe(MoO₄)₂, KSc(MoO₄)₂, RbAl(MoO₄)₂, RbFe(MoO₄)₂, RbIn(MoO₄)₂, RbIn(WO₄)₂, SrFe(MgD₄)₂, TlAl(MoO₄)₂, TlSc(MoO₄)₂ <!--beginning with an
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry ABC2D8_hP12_164_a_b_d_di-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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