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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

Setting
Loading the group…
x = 0.10, y = 0.17, z = 0.08

Unit 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

SiteElementWyckoffMultiplicityxyz
Al1Al4a40.00000.00000.0000
K6K4b40.50000.50000.5000
O7O8c80.23610.23610.2361
O8O8c80.37460.37460.3746
S13S8c80.30610.30610.3061
H2H24d240.17500.03650.9273
H3H24d240.19820.02620.0340
H4H24d240.10400.15500.3000
H5H24d240.00090.18210.2914
O10O24d240.28080.20000.3614
O11O24d240.15170.02800.9801
O12O24d240.04690.13070.3040
O9O24d240.26300.41980.3062

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] →