Crystal Lab › Prototype structures › Monoclinic
Gypsum (CaSO₄cdot2H₂O, H4₆)
Monoclinic · space group C12/c1 (No. 15) · Pearson mC48 · Strukturbericht H46 · mineral: gypsum
Symmetry elements and Wyckoff positions (interactive)
Gypsum (CaSO₄cdot2H₂O, H4₆) in C12/c1
SettingUnit cell
- Lattice constants
- a = 6.277 Å, b = 15.181 Å, c = 10.033 Å; α = 90.00°, β = 148.93°, γ = 90.00°
- Cell volume
- 493.3 ų
- Atoms in the conventional cell
- 48 (Ca 4, S 4, H 16, O 24)
- Formula units Z
- 4
- Pearson symbol
- mC48 — monoclinic, base-centred lattice, 48 atoms per conventional cell
- Symmetry operations
- 8 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Ca1 | Ca | 4e | 4 | 0.0000 | 0.5795 | 0.2500 |
| S7 | S | 4e | 4 | 0.0000 | 0.0773 | 0.2500 |
| H2 | H | 8f | 8 | 0.7420 | 0.3370 | 0.2340 |
| H3 | H | 8f | 8 | 0.5710 | 0.2700 | 0.0770 |
| O4 | O | 8f | 8 | 0.5758 | 0.5222 | 0.4090 |
| O5 | O | 8f | 8 | 0.1371 | 0.6320 | 0.0870 |
| O6 | O | 8f | 8 | 0.5365 | 0.3183 | 0.0783 |
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 48 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
AB4C6D_mC48_15_e_2f_3f_e-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol mC48, then the space-group number 15, then the Wyckoff letters occupied by each element in turn (Ca: 4e; S: 4e; H: 8f; H: 8f; O: 8f; O: 8f; O: 8f). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Note: H4₆, Gypsum.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry AB4C6D_mC48_15_e_2f_3f_e-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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