Crystal Lab › Prototype structures › Monoclinic
Chrysotile [Mg₃Si₂O₅(OH)₄]
Monoclinic · space group C1c1 (No. 9) · Pearson mC56 · mineral: chrysotile
Symmetry elements and Wyckoff positions (interactive)
Chrysotile [Mg₃Si₂O₅(OH)₄] in C1c1
SettingUnit cell
- Lattice constants
- a = 5.340 Å, b = 9.241 Å, c = 15.947 Å; α = 90.00°, β = 113.18°, γ = 90.00°
- Cell volume
- 723.4 ų
- Atoms in the conventional cell
- 56 (Mg 12, O 36, Si 8)
- Formula units Z
- 4
- Pearson symbol
- mC56 — monoclinic, base-centred lattice, 56 atoms per conventional cell
- Symmetry operations
- 4 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Mg1 | Mg | 4a | 4 | 0.6155 | 0.4480 | 0.2303 |
| Mg2 | Mg | 4a | 4 | 0.1074 | 0.6271 | 0.2327 |
| Mg3 | Mg | 4a | 4 | 0.6022 | 0.7735 | 0.2204 |
| O4 | O | 4a | 4 | 0.5726 | 0.4478 | 0.0000 |
| O5 | O | 4a | 4 | 0.7410 | 0.7250 | 0.0023 |
| O6 | O | 4a | 4 | 0.2458 | 0.6714 | 0.0063 |
| O7 | O | 4a | 4 | 0.6998 | 0.6096 | 0.1560 |
| O8 | O | 4a | 4 | 0.6870 | 0.2870 | 0.1550 |
| OH10 | O | 4a | 4 | 0.5186 | 0.9470 | 0.2791 |
| OH11 | O | 4a | 4 | 0.7141 | 0.9553 | 0.1807 |
| OH12 | O | 4a | 4 | 0.9985 | 0.7916 | 0.2960 |
| OH9 | O | 4a | 4 | 0.5177 | 0.6130 | 0.2878 |
| Si13 | Si | 4a | 4 | 0.5667 | 0.6141 | 0.0410 |
| Si14 | Si | 4a | 4 | 0.5608 | 0.2835 | 0.0400 |
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 56 atoms drawn above are these sites multiplied by all 4 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
A3B5C4D2_mC56_9_3a_5a_4a_2a-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol mC56, then the space-group number 9, then the Wyckoff letters occupied by each element in turn (Mg: 4a; Mg: 4a; Mg: 4a; O: 4a; O: 4a; O: 4a; O: 4a; O: 4a; O: 4a; O: 4a; O: 4a; O: 4a; Si: 4a; Si: 4a). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Note: Chrysotile.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A3B5C4D2_mC56_9_3a_5a_4a_2a-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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