Crystal Lab › Prototype structures › Cubic
NaCr(SO₄)₂ cdot 12H₂O Alum
Cubic · space group Pa-3 (No. 205) · Pearson cP96 · mineral: alum
Symmetry elements and Wyckoff positions (interactive)
NaCr(SO₄)₂ cdot 12H₂O Alum in Pa-3
SettingUnit cell
- Lattice constants
- a = 12.400 Å, b = 12.400 Å, c = 12.400 Å; α = 90.00°, β = 90.00°, γ = 90.00°
- Cell volume
- 1906.6 ų
- Atoms in the conventional cell
- 96 (Cr 4, Na 4, O 32, S 8, H 48)
- Formula units Z
- 4
- Pearson symbol
- cP96 — cubic, primitive lattice, 96 atoms per conventional cell
- Symmetry operations
- 24 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Cr1 | Cr | 4a | 4 | 0.0000 | 0.0000 | 0.0000 |
| Na4 | Na | 4b | 4 | 0.5000 | 0.5000 | 0.5000 |
| O5 | O | 8c | 8 | 0.2390 | 0.2390 | 0.2390 |
| S7 | S | 8c | 8 | 0.3100 | 0.3100 | 0.3100 |
| H2 | H | 24d | 24 | 0.1580 | 0.0140 | 0.0180 |
| H3 | H | 24d | 24 | 0.0420 | 0.1360 | 0.3020 |
| O6 | O | 24d | 24 | 0.3070 | 0.2240 | 0.9200 |
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 96 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
AB12CD8E2_cP96_205_a_2d_b_cd_c-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol cP96, then the space-group number 205, then the Wyckoff letters occupied by each element in turn (Cr: 4a; Na: 4b; O: 8c; S: 8c; H: 24d; H: 24d; O: 24d). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Other compounds with this structure
CsCr(SO₄)₂ cdot 12H₂O <!--beginning with an
Note: Alum.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry AB12CD8E2_cP96_205_a_2d_b_cd_c-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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