Crystal Lab › Prototype structures › Cubic
α-Alum [KAl(SO₄)₂ cdot 12H₂O, H4₁₃]
Cubic · space group Pa-3 (No. 205) · Pearson cP224 · Strukturbericht H413 · mineral: α-alum
Symmetry elements and Wyckoff positions (interactive)
α-Alum [KAl(SO₄)₂ cdot 12H₂O, H4₁₃] in Pa-3
SettingUnit cell
- Lattice constants
- a = 12.135 Å, b = 12.135 Å, c = 12.135 Å; α = 90.00°, β = 90.00°, γ = 90.00°
- Cell volume
- 1787.0 ų
- Atoms in the conventional cell
- 224 (Al 4, K 4, O 112, S 8, H 96)
- Formula units Z
- 4
- Pearson symbol
- cP224 — cubic, primitive lattice, 224 atoms per conventional cell
- Symmetry operations
- 24 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Al1 | Al | 4a | 4 | 0.0000 | 0.0000 | 0.0000 |
| K6 | K | 4b | 4 | 0.5000 | 0.5000 | 0.5000 |
| O7 | O | 8c | 8 | 0.2361 | 0.2361 | 0.2361 |
| O8 | O | 8c | 8 | 0.3746 | 0.3746 | 0.3746 |
| S13 | S | 8c | 8 | 0.3061 | 0.3061 | 0.3061 |
| H2 | H | 24d | 24 | 0.1750 | 0.0365 | 0.9273 |
| H3 | H | 24d | 24 | 0.1982 | 0.0262 | 0.0340 |
| H4 | H | 24d | 24 | 0.1040 | 0.1550 | 0.3000 |
| H5 | H | 24d | 24 | 0.0009 | 0.1821 | 0.2914 |
| O10 | O | 24d | 24 | 0.2808 | 0.2000 | 0.3614 |
| O11 | O | 24d | 24 | 0.1517 | 0.0280 | 0.9801 |
| O12 | O | 24d | 24 | 0.0469 | 0.1307 | 0.3040 |
| O9 | O | 24d | 24 | 0.2630 | 0.4198 | 0.3062 |
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 224 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
AB24CD28E2_cP224_205_a_4d_b_2c4d_c-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol cP224, then the space-group number 205, then the Wyckoff letters occupied by each element in turn (Al: 4a; K: 4b; O: 8c; O: 8c; S: 8c; H: 24d; H: 24d; H: 24d; H: 24d; O: 24d; O: 24d; O: 24d; O: 24d). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Other compounds with this structure
NH₄Al(SO₄)₂ cdot 12H₂O, KCr(SO₄)₂ cdot 12H₂O, RbAl(SO₄)₂ cdot 12H₂O, KAl(SeO₄)₂ cdot 12H₂O <!--beginning with an
Note: H4₁₃, α-Alum.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry AB24CD28E2_cP224_205_a_4d_b_2c4d_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.
← γ-Alum [AlNa(SO₄)₂ cdot 12H₂O, H4₁₅] · Space group Pa-3 (21 prototypes) · All prototypes · β-Alum [Al(NH₃CH₃)₂(SO₄)₂ cdot 12H₂O, H4₁₄] →