Crystal Lab › Prototype structures › Hexagonal
Gaudefroyite Ca₈Mn₆[(BO₃)₆(CO₃)₂O₆]
Hexagonal · space group P63/m (No. 176) · Pearson hP60 · mineral: gaudefroyite
Symmetry elements and Wyckoff positions (interactive)
Gaudefroyite Ca₈Mn₆[(BO₃)₆(CO₃)₂O₆] in P63/m
SettingUnit cell
- Lattice constants
- a = 10.608 Å, b = 10.608 Å, c = 5.886 Å; α = 90.00°, β = 90.00°, γ = 120.00°
- Cell volume
- 573.6 ų
- Atoms in the conventional cell
- 60 (Ca 8, C 4, Mn 6, B 6, O 36)
- 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 |
|---|---|---|---|---|---|---|
| Ca1 | Ca | 2c | 2 | 0.3333 | 0.6667 | 0.2500 |
| C2 | C | 4e | 4 | 0.0000 | 0.0000 | 0.5772 |
| Mn3 | Mn | 6g | 6 | 0.5000 | 0.0000 | 0.0000 |
| B4 | B | 6h | 6 | 0.7629 | 0.5449 | 0.2500 |
| Ca5 | Ca | 6h | 6 | 0.1677 | 0.3009 | 0.2500 |
| O6 | O | 6h | 6 | 0.5265 | 0.6197 | 0.2500 |
| O7 | O | 6h | 6 | 0.9191 | 0.5980 | 0.2500 |
| O8 | O | 12i | 12 | 0.4704 | 0.1667 | 0.0399 |
| O9 | O | 12i | 12 | 0.9044 | 0.8513 | 0.0745 |
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
A3B2C4D3E18_hP60_176_h_e_ch_g_2h2i-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 176, then the Wyckoff letters occupied by each element in turn (Ca: 2c; C: 4e; Mn: 6g; B: 6h; Ca: 6h; O: 6h; O: 6h; O: 12i; O: 12i). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Other compounds with this structure
Ca₃B₄Al₃GdO₁₅, Ca₃B₄Al₃YO₁₅, Ca₃B₄Cr₃YO₁₅, Ca₃B₄Ga₃TbO₁₅, Ca₃B₄Ga₃YO₁₅, Ca₃B₄Gd₃YO₁₅, Ca₃B₄Mn₃YO₁₅ <!--beginning with an
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A3B2C4D3E18_hP60_176_h_e_ch_g_2h2i-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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