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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

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

Unit 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

SiteElementWyckoffMultiplicityxyz
Al1Al1a11.00000.00000.3050
O4O1b10.33330.66670.4970
O3O1c10.66670.33330.0000
Al2Al3d30.11970.42330.3020
O5O3d30.75370.93830.5360
O6O3d30.91970.39230.5830
O7O3d30.80770.76230.0800
O8O3d30.11070.62930.0710
Ta9Ta3d30.88820.60900.8060

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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