Crystal Lab › Prototype structures › Hexagonal
Indialite (K_{0.12}[Fe₂][Mg_{0.85}Fe_{0.15}]₂Al₃ cdot (Al,Si)₃(Si,Al)₁₂O₃₆
Hexagonal · space group P622 (No. 177) · Pearson hP60
Symmetry elements and Wyckoff positions (interactive)
Indialite (K_{0.12}[Fe₂][Mg_{0.85}Fe_{0.15}]₂Al₃ cdot (Al,Si)₃(Si,Al)₁₂O₃₆ in P622
SettingUnit cell
- Lattice constants
- a = 9.858 Å, b = 9.858 Å, c = 9.310 Å; α = 90.00°, β = 90.00°, γ = 120.00°
- Cell volume
- 783.5 ų
- Atoms in the conventional cell
- 60 (Fe 2, Mg 2, K 2, Al 6, O 36, Si 12)
- Formula units Z
- 2
- Pearson symbol
- hP60 — hexagonal / trigonal, primitive lattice, 60 atoms per conventional cell
- Symmetry operations
- 12 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Fe1 | Fe | 2c | 2 | 0.3333 | 0.6667 | 0.0000 |
| Mg2 | Mg | 2d | 2 | 0.3333 | 0.6667 | 0.5000 |
| K3 | K | 2e | 2 | 0.0000 | 0.0000 | 0.2728 |
| Al4 | Al | 3f | 3 | 0.5000 | 0.0000 | 0.0000 |
| Al5 | Al | 3g | 3 | 0.5000 | 0.0000 | 0.5000 |
| O6 | O | 12n | 12 | 0.6591 | 0.1339 | 0.1023 |
| O7 | O | 12n | 12 | 0.6435 | 0.1312 | 0.3934 |
| O8 | O | 12n | 12 | 0.3109 | 0.0799 | 0.2415 |
| Si9 | Si | 12n | 12 | 0.3702 | 0.2658 | 0.2540 |
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 60 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
A3BCDE18F6_hP60_177_fg_c_e_d_3n_n-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hP60, then the space-group number 177, then the Wyckoff letters occupied by each element in turn (Fe: 2c; Mg: 2d; K: 2e; Al: 3f; Al: 3g; O: 12n; O: 12n; O: 12n; Si: 12n). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A3BCDE18F6_hP60_177_fg_c_e_d_3n_n-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.
← Hypothetical Hexagonal SiO₂ — O₂Si · Space group P622 (3 prototypes) · All prototypes · [Fe(OMe)₂(proline)]₁₂[ClO₄]₁₂ →