Crystal Lab › Prototype structures › Trigonal
Simpsonite (Ta₃Al₄O₁₃[OH])
Trigonal · space group P3 (No. 143) · Pearson hP21 · mineral: simpsonite
Symmetry elements and Wyckoff positions (interactive)
Simpsonite (Ta₃Al₄O₁₃[OH]) in P3
SettingUnit cell
- Lattice constants
- a = 7.381 Å, b = 7.381 Å, c = 4.516 Å; α = 90.00°, β = 90.00°, γ = 120.00°
- Cell volume
- 213.1 ų
- Atoms in the conventional cell
- 21 (Al 4, O 14, Ta 3)
- Formula units Z
- 1
- Pearson symbol
- hP21 — hexagonal / trigonal, primitive lattice, 21 atoms per conventional cell
- Symmetry operations
- 3 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Al1 | Al | 1a | 1 | 1.0000 | 0.0000 | 0.3050 |
| O4 | O | 1b | 1 | 0.3333 | 0.6667 | 0.4970 |
| O3 | O | 1c | 1 | 0.6667 | 0.3333 | 0.0000 |
| Al2 | Al | 3d | 3 | 0.1197 | 0.4233 | 0.3020 |
| O5 | O | 3d | 3 | 0.7537 | 0.9383 | 0.5360 |
| O6 | O | 3d | 3 | 0.9197 | 0.3923 | 0.5830 |
| O7 | O | 3d | 3 | 0.8077 | 0.7623 | 0.0800 |
| O8 | O | 3d | 3 | 0.1107 | 0.6293 | 0.0710 |
| Ta9 | Ta | 3d | 3 | 0.8882 | 0.6090 | 0.8060 |
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 21 atoms drawn above are these sites multiplied by all 3 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
A4B14C3_hP21_143_ad_bc4d_d-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hP21, then the space-group number 143, then the Wyckoff letters occupied by each element in turn (Al: 1a; O: 1b; O: 1c; Al: 3d; O: 3d; O: 3d; O: 3d; O: 3d; Ta: 3d). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Note: Simpsonite.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A4B14C3_hP21_143_ad_bc4d_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.
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