Crystal Lab › Prototype structures › Hexagonal
Ordered TmBO₃ BO₃Tm
Hexagonal · space group P63/mcm (No. 193) · Pearson hP30
Symmetry elements and Wyckoff positions (interactive)
Ordered TmBO₃ in P63/mcm
SettingUnit cell
- Lattice constants
- a = 6.540 Å, b = 6.540 Å, c = 8.810 Å; α = 90.00°, β = 90.00°, γ = 120.00°
- Cell volume
- 326.3 ų
- Atoms in the conventional cell
- 30 (Tm 6, B 6, O 18)
- Formula units Z
- 6
- Pearson symbol
- hP30 — hexagonal / trigonal, primitive lattice, 30 atoms per conventional cell
- Symmetry operations
- 24 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Tm4 | Tm | 2b | 2 | 0.0000 | 0.0000 | 0.0000 |
| Tm5 | Tm | 4d | 4 | 0.3333 | 0.6667 | 0.0000 |
| B1 | B | 6g | 6 | 0.4363 | 0.0000 | 0.2500 |
| O2 | O | 6g | 6 | 0.6433 | 0.0000 | 0.2500 |
| O3 | O | 12k | 12 | 0.3333 | 0.0000 | 0.3830 |
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 30 atoms drawn above are these sites multiplied by all 24 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
AB3C_hP30_193_g_gk_bd-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hP30, then the space-group number 193, then the Wyckoff letters occupied by each element in turn (Tm: 2b; Tm: 4d; B: 6g; O: 6g; O: 12k). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Other compounds with this structure
DyBO₃, ErBO₃, EuBO₃, GdBO₃, HoBO₃, LuBO₃, SmBO₃, YBO₃, YbBO₃ <!--beginning with an
Note: Ordered YBO₃.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry AB3C_hP30_193_g_gk_bd-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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