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Crystal Lab › Prototype structures › Monoclinic

Dolerophanite [Cu₂O(SO₄)]

Monoclinic · space group C12/m1 (No. 12) · Pearson mC32 · mineral: dolerophanite

Symmetry elements and Wyckoff positions (interactive)

Dolerophanite [Cu₂O(SO₄)] in C12/m1

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

Unit cell

Lattice constants
a = 12.954 Å, b = 6.312 Å, c = 8.335 Å; α = 90.00°, β = 146.03°, γ = 90.00°
Cell volume
380.8 ų
Atoms in the conventional cell
32 (Cu 8, O 20, S 4)
Formula units Z
4
Pearson symbol
mC32 — monoclinic, base-centred lattice, 32 atoms per conventional cell
Symmetry operations
8 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Cu1Cu4e40.25000.25000.0000
Cu2Cu4i40.14560.00000.5732
O3O4i40.51800.00000.3125
O4O4i40.15700.00000.3640
O5O4i40.86850.00000.2160
S7S4i40.71410.00000.6122
O6O8j80.25100.68920.7570

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 32 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

A2B5C_mC32_12_ei_3ij_i-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol mC32, then the space-group number 12, then the Wyckoff letters occupied by each element in turn (Cu: 4e; Cu: 4i; O: 4i; O: 4i; O: 4i; S: 4i; O: 8j). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Note: Dolerophanite.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A2B5C_mC32_12_ei_3ij_i-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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