Crystal Lab › Prototype structures › Monoclinic
Titanite (CaTiSiO₅, S0₆)
Monoclinic · space group C12/c1 (No. 15) · Pearson mC32 · Strukturbericht S06 · mineral: titanite
Symmetry elements and Wyckoff positions (interactive)
Titanite (CaTiSiO₅, S0₆) in C12/c1
SettingUnit cell
- Lattice constants
- a = 6.549 Å, b = 8.695 Å, c = 7.060 Å; α = 90.00°, β = 113.87°, γ = 90.00°
- Cell volume
- 367.6 ų
- Atoms in the conventional cell
- 32 (Ti 4, Ca 4, O 20, Si 4)
- Formula units Z
- 4
- Pearson symbol
- mC32 — monoclinic, base-centred lattice, 32 atoms per conventional cell
- Symmetry operations
- 8 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Ti6 | Ti | 4a | 4 | 0.0000 | 0.0000 | 0.0000 |
| Ca1 | Ca | 4e | 4 | 0.0000 | 0.3323 | 0.2500 |
| O2 | O | 4e | 4 | 0.0000 | 0.0714 | 0.2500 |
| Si5 | Si | 4e | 4 | 0.0000 | 0.6828 | 0.2500 |
| O3 | O | 8f | 8 | 0.3145 | 0.0663 | 0.0898 |
| O4 | O | 8f | 8 | 0.8975 | 0.7893 | 0.3815 |
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 32 atoms drawn above are these sites multiplied by all 8 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
AB5CD_mC32_15_e_e2f_e_a-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol mC32, then the space-group number 15, then the Wyckoff letters occupied by each element in turn (Ti: 4a; Ca: 4e; O: 4e; Si: 4e; O: 8f; O: 8f). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Note: S0₆, Titanite.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry AB5CD_mC32_15_e_e2f_e_a-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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